Which expression represents the sum or 13 and a number

Which Expression Represents The Sum Or 13 And A Number

Answers

Answer 1

Answer:

The first one 13+a

Step-by-step explanation:


Related Questions

what are some issues you must consider when choosing the appropriate number of treatment conditions for your experiment? what does it mean to have conditions that are proportional to each other?

Answers

When selecting the appropriate number of treatment conditions, it is essential to consider factors such as resources, research complexity, and confounding variables.

Having conditions that are proportional to each other means that the level or intensity of each condition varies in direct proportion to the others, such that if one condition is increased or decreased, the others are also adjusted in a corresponding manner.

When choosing the appropriate number of treatment conditions for an experiment, there are several issues to consider. One of these is the ability to distinguish differences between treatment conditions.

A suitable number of treatment conditions for an experiment should be able to identify important differences between them. If there are too few treatment conditions, differences may not be identified, while if there are too many treatment conditions, resources may be wasted, making it difficult to obtain meaningful results.Another factor to consider is the need for replicability. The more treatment conditions that are used, the more difficult it is to replicate the experiment. A suitable number of treatment conditions should allow for replicability, meaning that the experiment can be repeated with similar results.To have proportional treatment conditions means that the levels of the independent variable (the treatment) are proportionate. This means that the differences between the levels of the independent variable are proportional to each other. This is important because it ensures that the treatment conditions are balanced and that the results obtained are valid. If the levels of the independent variable are not proportional, it can be difficult to interpret the results and draw conclusions.

Having conditions that are proportional to each other means that the differences between treatment conditions are consistent across all levels of the independent variable. In other words, if the independent variable increases by a certain amount, the difference between the treatment conditions remains constant. This can be important for ensuring that the treatment effects are interpretable and generalizable to other populations.

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An anthropologist is interested in the relationship
between fathers' and sons' heights. She collects a
simple random sample of 25 fathers and 25 sons, and
determines that the least-squares regression line is ý = -
2.8+ 1.1x, where ŷ is the predicted height of each son
and x is the height of his father (both measured in
inches).
One father is 72 inches tall, and his son is 75 inches tall.
What is the residual for the son's height?
O -2.8
O-1.4
O 1.1
O 1.4

Answers

Answer: B. -1.4

Step-by-step explanation:

 To find the residual, we need to first calculate the predicted height of the son using the given regression equation:

ŷ = -2.8 + 1.1x

where x is the height of the father. For the given father who is 72 inches tall, we have:

ŷ = -2.8 + 1.1(72) = 75.6

So the predicted height of the son is 75.6 inches.

The residual is then calculated by subtracting the predicted height from the actual height of the son:

residual = actual height - predicted height

= 75 - 75.6

= -0.6

Therefore, the residual for the son's height is -0.6, which is closest to answer B after rounding to one decimal place.

balls labeled 1 through 9 are placed in a knapsack. two balls are selected from the knapsack, one at a time without replacement. the first ball we draw is even. what is the probability that the second ball is greater than the first ball?

Answers

The probability that the second ball is greater than the first ball is 5/8

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

As to even odd

first ball can be anything. Second would have to be the first is not thus 5/9.

As second smaller than first

if first is 9, probability is 8/8, 100%, if 7 probability s 6/8 so in general take first ball, value k,

then the probability is sum (k - 1) / (n = 10 - 1) for k=1,2,…,9 so that’s all in 45/8 times 1/9 so 45/72 or 5/8.

Even a clear ball has Color so unless you have an invisible ball in your collection, both balls will be some amount of color or color.

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–10.9p + 3.9 = –9.18

Answers

Answer:

Step-by-step explanation:

-10.9p + 3.9

-10.9p turns positive.

The (p) is isolated.

10.9 - 3.9= 9.18 = -9.18

Answer

-9.18

Write 4 3/5 as a decimal number

Answers

Answer:

4.6 is your awnser hope this helps

The image is not drawn to scale.
Which is the measure of ∠A?

The image is not drawn to scale.Which is the measure of A?

Answers

The measure of angle A is 58.47°

What are similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

represent AC by x

6/19 = x/8+x

6(8+x) = 19x

48 + 6x = 19x

48 = 19x-6x

48 = 13x

x = 48/13

x = 3.69

Tan A = 6/3.69

Tan A = 1.63

A = tan^-1 (1.63)

A = 58.47°

therefore the value of angle A is 58.47°

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How can I doo hard math level

Answers

You can learn how to do hard level math by:

-Practicing hard level math

-asking friends who do hard level math to analyze if you have the ability for hard level math

-believing you can do hard level math

-learning from your mistakes :p

Hope this helps you ♥︎☁︎☀︎☁︎

Answer:

You can learn math by

Step-by-step explanation:

practicing and remember not to overwork yourself

Assignment: Counting Investigation Dakota and Karen noticed that there were a bunch of combinations available in their school cafeteria. Think about a meal at your school, or maybe a favorite restaurant. How many combinations of choices do you have? Create a tree diagram listing the possible combinations, and count the results. 1. For what will you find the number of combinations? ______________________________________________________________________________________________________________________ 2. List at least three categories to consider. ______________________________________________________________________________________________________________________ 3. List the choices within each category. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 4. Assign each choice a symbol. Ex. juice = (diamond shape) ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 5. Create a tree diagram to determine the number of combinations available. 6. List all possible combinations and count the total number of possibilities. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Answers

Hi there! Hopefully this helps!

---------------------------------------------------------------------------------------------------------

Q1: (For what)"Will you find the number of combinations?"

Answer: (I unfortunately don't understand this very well so I'm giving it my best, and take this with a grain of salt.) I will be able to find combinations using a school cafeteria!

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q2: "List at least three categories to consider."

My choices:

Answer: Fruits, Vegetables, Protein.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q3: "List the choices within each category."

Answer:

Fruits: Apples, Bananas, and Grapes.

Vegetables: Cauliflower, Carrot, and Corn.

Protein: Green beans, Salmon, and Almonds.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q4: "Assign each choice a symbol. Ex. juice = (diamond shape)"

Answer:

Fruits: Apples, Bananas, and Grapes.

Vegetables: Cauliflower✨, Carrot, and Corn.

Protein: Green beans, Salmon, and Almonds.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Q5: "Create a tree diagram to determine the number of combinations available."

(I'm not very familiar with a tree diagram so here is my interpretation at the bottom.)

(You can rewrite this and do it your way if you want).

Q6: "List all possible combinations and count the total number of possibilities."

There are 27 combinations possible!

All of my possible combinations:

Apples, Cauliflower, Green beans.Apples, Cauliflower, SalmonApples, Cauliflower, Almonds.Bananas, Cauliflower, Green Beans.Bananas, Cauliflower, Salmon.Bananas, Cauliflower, Almonds.Grapes, Cauliflower, Green bean.Grapes, Cauliflower, Salmon.Grapes, Cauliflower, Almonds.Apples, Carrot, Green beans.Apples, Carrot, Salmon.Apples, Carrot, Almonds.Bananas, Carrot, Green beans.Bananas, Carrot, Salmon.Bananas, Carrot, Almonds.Grapes, Carrot, Green beans.Grapes, Carrot, Salmon.Grapes, Carrot, Almonds.Apples, Corn, Green beans.Apples, Corn, Salmon.Apples, Corn, Almonds.Bananas, Corn, Green beans,Bananas, Corn, Salmon.Bananas, Corn, Almonds.Grapes, Corn, Green Beans.Grapes, Corn, Salmon.Grapes, Corn, Almonds.

The last image below is for Qestion 5.

Assignment: Counting Investigation Dakota and Karen noticed that there were a bunch of combinations available

determine f(4)????? ​

determine f(4)?????

Answers

Answer:

D

Step-by-step explanation:

f(4)=-2(4)2 +12

f(4)=-82+12

f(4)=-64+12

f(4)=-52

= -52

DONE!

Answer:

A.) - 20

Step-by-step explanation:

f(x) = - 2x² + 12; f(4)

f(4) = - 2(4)² + 12

= -2 × 16 + 12

= - 32 + 12

f(4) = - 20

Thus, f(4) = - 20

-TheUnknownScientist

Please help I don’t understand this!

Please help I dont understand this!

Answers

Answer:

a.)

Step-by-step explanation:

because 3 to the left is a negative and 2 units up means positive

Each year a certain amount of money is deposited in an account which pays an annual interest rate of r so that at the end of each
year the balance in the account is multiplied by a growth factor of x = 1 + r. $1,000 is deposited at the start of the first year, an
additional $300 is deposited at the start of the next year, and $500 at the start of the following year.
Write an expression for the value of the account at the end of three years in terms of the growth factor x.

Answers

The polynomial expression which represents the value of the account at the end of three years is 1000x³ + 300x² + 500x

Interest earned per year, x = 1 + r

First year :

deposit = $1000

Year end balance = 1000 × x = 1000x

Second year :

Initial balance = 1000x + 300

Year end balance = (1000x + 300)x = 1000x² + 300x

Third year :

Initial balance = 1000x² + 300x + 500

Year end balance = (1000x² + 300x + 500)x = 1000x³ + 300x² + 500x

Therefore, the expression which represents the value of the account at the end of three years is 1000x³ + 300x² + 500

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3
1
1. How many groups of 1/8 are in 3?
8
2. Evaluate.
5
groups
|||

Answers

Answer:

answer to question 1: 24

Explanation: (btw sorry i couldn't answer question 2) multiply 8 times 3 and you get the answer

The required group of number is 24 of 1/8 in 3.

What is algebra?

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given numbers are 1/8 and 3.

Let there are n number of groups of 1/8 in 3.

To find the value of number of groups n,

Use equation form,

1/8 n = 3

n = 3 x 8

n = 24.

There are 24 groups of 1/8 in 3.

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HELP THIS IS DUE TOMORROW

HELP THIS IS DUE TOMORROW

Answers

Answer:

f it not possible to prove the triangle are conqrugent.

Answer:

D

Step-by-step explanation:

AAS

∠A = ∠D        Given

∠B = ∠C         Given

BC = CB         Reflexive property

ΔABC ≅ ΔDCB       AAS Congruent

PLES HALP POINTS PIC DOWN BELOW

PLES HALP POINTS PIC DOWN BELOW

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

D) Quadrant IV (quadrant 4)

Step-by-step explanation:

Point C is in quadrant IV because its point is (4,-4)

For points that have a positive x-coordinate and a negative y-coordinate, that means they are in quadrant IV.

Another way to figure this out is by looking at this graphically:

                                    y

                                    |

         Quadrant           |          Quadrant

                II                  |                 I

                                    |

 ------------------------------|----------------------------- x

                                    |

          Quadrant          |           Quadrant

                III                 |                 IV

                                    |

I hope this helps!


In both the Vendor Compliance at Geoffrey Ryans (A) and
Operational Execution at Arrows Electronics there are problems and
challenges. Integrate the problems and challenges from both
cases.

Answers

In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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The spinner shown is spun twice Use a tree diagram to record the sample space of the repeated experiment

Answers

Here is the tree diagram to represent the sample space of spinning the spinner twice:

sp1 - Possible outcomes of the first spin:

Red, Blue, Green

sp1 - Red

sp2 - Red Red, Red

sp2 - Blue Red, Blue

sp2 - Green Red, Green

sp1 - Blue

sp2 - Red Blue, Red

sp2 - Blue Blue, Blue

sp2 - Green Blue, Green

sp1 - Green

sp2 - Red Green, Red

sp2 - Blue Green, Blue

sp2 - Green Green, Green

So the full sample space would be:

{(Red, Red), (Red, Blue), (Red, Green),

(Blue, Red), (Blue, Blue), (Blue, Green),

(Green, Red), (Green, Blue), (Green, Green)}

Does this capture the correct sample space for spinning the spinner twice? Let me know if you need any clarification.

twelve less than the product of three and a number

Answers

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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i’m trying to find the 6 ratios in this.

im trying to find the 6 ratios in this.

Answers

Our 6 ratios:

10/24

10/26

24/26

24/10

26/10

26/24

41.2 x 1.5. Then explain where the decimal point should go and why

Answers

Answer:

This is really simple, here i'll explain:

Step-by-step explanation:

41.2 x 1.5=

count how many spaces are after the decimal point.

for example, 41.2 has 1 space after the decimal point. The decimal 1.5 also has 1 space after the decimal point. So if you add the spaces it would be 2 because 1 + 1 = 2

After that, take away the decimal point, and just multiply like you normally would.

412 times 15

this would be 6180

after you do the multiplication, you will add the decimal point.

The decimal point will go in between 1 and 8 because there were 2 spaces after the decimal point in the numbers, and if you add them it would be 2 spaces.

Hope this helps!

Answer:

41.2×1.5=61.8. because you always have to line up the decimals.

Use the graph to find the value of y = sin q for the value of q.
90°

Use the graph to find the value of y = sin q for the value of q.90

Answers

Answer:

\(\huge y = \sin(q) = \sin(90°) = 1\)

d. 1 is the right answer.

The left and right ends of the normal probability distribution extend indefinitely, never quite touching the horizontal axis. True False

Answers

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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PLEASE HELP QUESTION ON PICTURE ASAP 34 MINS LEFT 30 POINTS IF ANSWERED

PLEASE HELP QUESTION ON PICTURE ASAP 34 MINS LEFT 30 POINTS IF ANSWERED

Answers

Answer:

Hope this may helps you

PLEASE HELP QUESTION ON PICTURE ASAP 34 MINS LEFT 30 POINTS IF ANSWERED

Find the absolute maximum and absolute minimum values of the function, if they exist, over the indicated interval. When no interval is specified, use the real line (- infinity, infinity). f(x) = x + 16/x: [- 6, - 1]

Answers

We must evaluate the function at the interval's crucial points and endpoints in order to determine the function's absolute maximum and absolute minimum values over the range [-6, -1].

1. Critical points appear when the derivative of f(x) is undefined or zero.

  f'(x) = 1 - 16/x^2

  With f'(x) = 0, we get the following equation: 1 - 16/x2 = 0 16/x2 = 1 x2 = 16 x = 4

We must determine whether x = 4 falls inside the range [-6, -1].

2. Endpoints: At the interval's endpoints, we evaluate the function.

  f(-6) = -6 + 16/(-6) = -6 - 8/3 f(-1) = -1 + 16/(-1) = -1 - 16

We now compare the values found at the endpoints and critical points:

f(-6) = -6 - 8/3 ≈ -8.67 f(-4) = -4 + 16/(-4) = -4 - 4 = -8 f(-1)

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PLEASE HELP the product of x^3 , x^5 + x

Answers

x^3 = x•x•x

x^5= x •x •x

x •x •x •x •x •x •x •x •x= x^9

What is the slope of the line that passes through the points(3,−3) and(18,−3)? Write your answer in simplest form.

Answers

Answer: (3, -3) and (18, -3) is 0

Step-by-step explanation:

The slope of a line is a measure of the line's steepness, and it is calculated by taking the difference in the y-coordinates of two points on the line, divided by the difference in their x-coordinates. In this case, the line passes through the points (3, -3) and (18, -3), and the y-coordinates of both points are -3. Therefore, the difference in the y-coordinates is 0, and the slope of the line is 0.

To write this answer in simplest form, we can simply express the slope as 0/1, which can be simplified to 0. Therefore, the slope of the line that passes through the points (3, -3) and (18, -3) is 0.

Answer:

0

Step-by-step explanation:

We can find the slope of the line given two points

m= ( y2-y1)/(x2-x1)

    = ( -3 - -3)/(18 -3)

    = (-3+3)/(15

   = 0/15

   = 0

if you flip a coin and roll a 6 sided die, what is the probability that you will flip a tails and roll 2

Answers

Answer:

1/12.

Step-by-step explanation:

6 sides and 2 sides. 2 possible outcomes for each side of the dice

Answer:

\(\frac{1}{12}\)

Step-by-step explanation:

The combinations:

heads and 1, heads and 2, heads and 3, heads and 4, heads and 5, heads and 6, tails and 1, tails and 2, tails and 3, tails and 4, tails and 5, tails and 6

There are 12 combinations (count if you don't believe me). An easy way to find this is by multiplying the number of things you can get from the coin (2)and the number of things you can get from the die (6).There is only one combination where you can get tails and roll 2, so the probability will be \(\frac{1}{12}\)

i need help on this plz, thank you to anyone who helps

i need help on this plz, thank you to anyone who helps

Answers

Answer:

32

Step-by-step explanation:

The first pattern has 7 sticks and you would count to see how many extras there are in the second and I got 5 and it was the same on the third one, so you would take the number of sticks you had on the previous pattern +5

how to make h the subject in
m= r - h + 4d

Answers

9514 1404 393

Answer:

  h = r +4d -m

Step-by-step explanation:

There are a couple of ways to go about this:

1) Solve it the way you would any 2-step linear equation.

Step 1:

Identify the terms that do not involve h on the side of the equation that has the h-term. Subtract those terms from both sides of the equation.

  m -r -4d = -h

Step 2:

If the coefficient of h is not 1, divide both sides of the equation by that coefficient.

  (m -r -4d)/(-1) = (-h)/(-1)

  -m +r +4d = h

I like to have the leading coefficient be positive, so I might write this as ...

  h = 4d +r -m

__

2) The only h term has a -1 coefficient, so it can be given a coefficient of +1 by adding h to both sides of the equation.

  h +m = r +4d

There is an unwanted m term with the h term, so subtract that from both sides of the equation.

  h = r +4d -m

Answer:

h = 4d -m + r

Step-by-step explanation:

m = r-h +4d

h = 4d -m + r

we know when the real root is  r = h-4d  

the m+h = r+4d is step 1

then simply h-m = 4d-m + r is step 2

then h = 4d -m + r

use the 60 mutual funds in the table above to conduct the hypothesis test. what is the p value? p value is (to 4 decimals)

Answers

Welch's two-sample t-test indicates that the average of Load Return's population is significantly greater than the average of No Load Return's population, with a large effect size.

The null hypothesis (H0) that the two population means are equal is rejected as the p-value (0.005) is less than the chosen significance level (α=0.05). This indicates that the chance of a Type 1 error is small, and the alternative hypothesis (H1) that the average of Load Return's population is greater than the average of No Load Return's population is supported.

The test statistic (T=-2.646) falls outside the 95% critical value accepted range, which further supports the rejection of H0. The effect size (0.68) is considered large, indicating that the difference between the two population means is substantial.

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Complete Question:

use the 60 mutual funds in the table below to conduct the hypothesis test. what is the p value? p value is (to 4 decimals)

use the 60 mutual funds in the table above to conduct the hypothesis test. what is the p value? p value

A group of students at a high school took a standardized test. The number of students
who passed or failed the exam is broken down by gender in the following table.
Determine whether gender and passing the test are independent by filling out the
blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 25 10
Female 20 8

A group of students at a high school took a standardized test. The number of studentswho passed or failed

Answers

P(female) × P(fail) = 0.100 and P(female and fail) = 0.127, the two events are not equal so the events are dependent.

We can calculate the probabilities as follows:

Total number of students = 25 + 10 + 20 + 8 = 63

P(female) = Number of females / Total number of students

= 20 / 63

= 0.317

P(fail) = Number of students who failed / Total number of students

= (10 + 8) / 63

= 0.317

P(female and fail) = Number of female students who failed / Total number of students

= 8 / 63

= 0.127

Since P(female) × P(fail) = (0.317) × (0.317) = 0.100 and P(female and fail) = 0.127, the two events are not equal so the events are dependent.

Therefore, based on the calculations, we can conclude that gender and passing the test are dependent events, not independent.

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If Reginald and Esther were (accurately) considered well-matched by an online dating site's algorithm, and they began a relationship, what might we predict about their relationship as it moves forward?A) Their happiness will remain stable over time, because people know all the important things about each other from the outset.B) Their happiness will increase as the anxiety associated with fearing dissimilar values and beliefs is lessened.C) Their happiness will start to decrease sooner than if they had to discover these similarities between them on their own.D) They aren't any more likely to be happy in their relationship than if they were poorly matched. PLEASE HELPWhat is the role of paragraph 8 in the article "Expert from wheels of change:How women rode the bicycle to freedom (with a few flat tires along the way)". Use two details from the text to support your response. If an attacker wishes to collect confidential financial data, passwords, PINs and any personal data stored on your computer which of the following programs would they choose to use?Spyware A 67 kg man stands at the front end of a uniform boat of mass 179 kg and of length, L = 2.5 m. Assume there is no friction or drag between the boat and water.(a) What is the location of the center of mass of the system when the origin of our coordinate system (i) on the man's original location (ii) on the back end of the boat? [4 marks](b) If the man walks from the front end to the back end of the boat, by how much is the boat displaced? [3 marks](c) Now consider the man and his friend with identical mass of 67 kg are rowing the boat on a hot summer afternoon when they decide to go for a swim. The man jumps off the front of the boat at speed 3 m/s and his friend jumps off the back at speed 4 m/s. If the boat was moving forward at 1.5 m/s when they jumped, what is the speed of the boat after their jump? Approaching the rectifier case one should first:A) unlock the padlockB) touch the case with the back of the handC) check the rectifier for AC case to ground voltageD) Open the case without concern Describe at least two ways that Enlightenment thinking could help your growth in virtue; then, describe at least two ways that Enlightenment thinking might impede your progress and growth in the virtues. Consider your professional goals (e.g., to become aphysical therapist, coach, exercise physiologist) and identify howthe field of sport psychology might affect what you want to do. 20. write two short letters that reflect what you have learned about how the civil war affected the lives of civilians and soldiers. write one letter from a union or confederate soldier to a civilian family member. write the other letter from a civilian family member in the north or the south to a soldier. in each letter, include at least three details that indicate what life was like for each letter writer. please help its for a test please Ancient Romans explained events in their daily lives Practice writing a lab report biology exploring life lesson one Two individuals have different traits. One individual has dimples, and the other does not. What is the best explanation for these phenotypes the head of a government agency proposes an idea to a group of advisors. the group quickly reaches consensus, as no contradictory or critical opinions are offered, despite the fact that there are substantial weaknesses in the bosss proposal. this is an example of What does it mean to be in harmony with the Tao? Another way to say it is, what doesit mean to be following the Tao? Developing a consistent customer-centric culture helps a business:A) Bolster customer loyaltyB) Lower customer retention costsC) Gain a strong competitive advantageD) All of the above The test-cross:a) makes it possible to determine the genotype of an individual of unknown genotype that exhibits the dominant version of a traitb) is a cross between an individual whose genotype for a trait is not known and an individual homozygous recessive for the traitc) sometimes requires the production of multiple offspring to reveal the genotype of an individual whose genotype is unknown (but who exhibits the dominant pheonotype)d) Only a) and b) are correcte) Choices a), b) and c) are correct For all men being originally equals, no one by birth could have the right to set up his own family in perpetual preference to all others forever, and tho' himself might deserve some decent degree of honours of his contemporaries, yet his descendants might be far too unworthy to inherit them.What does it mean??? How do the elements of a magazine work together to create a complete package? plz i need helppppp To have a well-rounded body, you need a __________ fitness program, which includes all of the areas mentioned in the unit. A. perfect B. well-rounded C. very difficult D. stagnant Evaluate the expression when n=3 Write a for and against essay on the advantage and disadvantages of studying online