please
explain the steps if possible. Thank you
3. for: y =sin(r3) Find an equation of the line / tangent to the Lord graph of the equation 4. Find for: y = sin dr 2 + = 3y at the point (-72,2). [10] x² + y2 = 37 - [10]

The probability of randomly selecting an orange tile and not replacing it, then randomly selecting a blue tile is 1/10 or 0.1. In order to find the probability of selecting an orange tile and then a blue tile without replacement, we need to use the formula for conditional probability.

This formula states that the probability of an event A given that event B has occurred is equal to the probability of both A and B occurring divided by the probability of B occurring.We can represent the events as follows:A = selecting an orange tileB = selecting a blue tile given that an orange tile has already been selected without replacement.

We know that there are 10 orange tiles and a total of 6 + 9 + 10 = 25 tiles. Therefore, the probability of selecting an orange tile on the first draw is:P(A) = 10/25 = 2/5.

After an orange tile has been selected, there are 24 tiles remaining, of which 6 are blue. Therefore, the probability of selecting a blue tile given that an orange tile has already been selected is:P(B|A) = 6/24 = 1/4.Putting it all together, we can use the formula for conditional probability to find the probability of selecting an orange tile and then a blue tile without replacement:

P(A and B) = P(A) * P(B|A) = (2/5) * (1/4) = 1/10.Therefore, the probability of randomly selecting an orange tile and not replacing it, then randomly selecting a blue tile is 1/10 or 0.1.

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

y = 7x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 7 and c = - 5, then

y = 7x - 5 ← equation of line

The alternative Hypothesis is that at least one of the mean total cholesterol levels is different from the others in the four groups of subjects.

A researcher can use an analysis of variance (ANOVA) parametric statistical method to determine if the mean total cholesterol level of the population is the same for four groups of subjects (Group 1 = Diet Restriction; Group 2 = Exercise; Group 3 = Both Diet and Exercise; Group 4 = None).

a. Statistical Test is ANOVA.
b. Null Hypothesis is that the mean total cholesterol level of the population is the same for all four groups.
c. Alternative Hypothesis is that the mean total cholesterol level of the population is different for at least one group.

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Hello,

That is (+8) and not (+8x) at the end

Correct the error :

\( - 2x + 7x + 8\)

\( = x( - 2 + 7) + 8\)

\( = 5 \times x + 8\)

\( = 5x + 8\)

Answer:

5x + 8

Step-by-step explanation:

- 2x + 7x + 8

the student has added the numerical values of the 3 terms even though they are not all like terms

correction

- 2x + 7x + 8 ← collect like terms

(- 2x + 7x) + 8

= 5x + 8

Answer:

Well, the first thing you must do is find the slope

(0,2) (1,-3) I am going to make x1= 0, y1=2, x2=1 and y2= -3

Now, I am going to use the formula for the slope, which is

y2-y1/(x2-x1)

[-3-2]/(1-0)= -5/1 or just -1

Next, I am going to use the point slope form, which is

y-y1=m(x-x1). m=5, x1=0, y1=2

y-2= -5(x-0)

y-2=-5x

+2 +2

y= -5x+2 This is the slope intercept form.

we are done. I am glad to see that you are doing math on a Saturday night.. Good luck... Please rate my answer:)

Answer:

\(y= 2x - 3\)

Step-by-step explanation:

Find the slope of The two points: Slope: 2

Now, make a equation to find the y- intercept:

( Replace the y and x with one of the points you have...)

\(1=2 x 2 + b\)

\(-3 = b\)

Let the age of students in a certain public high school be x;

So, we create a table of values as follows;

First, we fine the mean of the distribution, we have;

Thus, the standard deviation of the distribution is;

Then, we will insert the deviation in the table above,

Then, we have;

The standard deviation of the ages is 1.2751

Also, the variance is;

The variance is the square of standard deviation, we have;

Thus, the variance of the ages is 1.6259

Answer:

45% of the school because some will sign up

Answer:

x=-2+3t , y=-9-10t

Step-by-step explanation:

I'm going to start by solving the first equation for t....which will give (x-x1)/(x2-x1) =t.

You can now substitute this in the second equation to get....y=y1 + (y2-y1)(x-x1)/(x2-x1)

Rearranging, you get y-y1 = (y2-y1) / (x2-x1) * (x-x1) which is equivalent to y-y1= m(x-x1) which is the point-slope formula for a line.

So since t was varying between 0 and 1,

plugging in t=0 you get x=x1 and y = y1 givin you the coordinate (x1,y1)

similarly, plugging in t=1 leads to (x2,y2)

So this is a representation of a segment connecting these 2 points.

B) just plug in the points into your given formula from part a to get...

x=-2 +(1--2)t and y = 9 +(-1-9)t

or x=-2+3t , y=-9-10t

Answer:

you additive inverse

Step-by-step explanation:

Answer:

Step-by-step explanation:

First you have to figure out n. Let's say it's 1, then you would multiply it by 4. That would be 4. Then subtract 32. In this case, then the answer would be - 28.

For this one, first you have to figure out w. Let's make w = 2. Then multiply is by 3 so it would be 6. Then add 66. In this case, it would be 72.

I hope this helps!

The probability that a voter is either female or Democrat is 0.64 or 64%.

To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.

From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.

To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).

So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.

Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.

Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.

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Answer:

As the question states - it's just a different notation to express the same thing.

When you represent a set with set notation, you look for a characteristic that identifies the elements of your set. For example, if you want to describe the set of all number greater than  

2

and less than  

10

, you write

{

x

∈

R

∣

2

<

x

<

10

}

Which you read as "All the real number  

x

(

x

∈

R

) such that (the symbol "|")  

x

is between  

2

and  

10

(

2

<

x

<

10

)

On the other hand, if you want to represent the set with interval notation, you need to know the upper and lower bound of the set, or possibly the upper and lower bound of all the intervals that compose the set.

For example, if your set is composed by all the numbers smaller than  

5

, or between  

10

and  

20

, or greater than  

100

, you write the following union of intervals:

(

−

∞

,

5

)

∪

(

10

,

20

)

∪

(

100

,

∞

)

This same set can be written in set notation:

{

x

∈

R

∣

x

<

5

or  

10

<

x

<

20

or  

x

>

100

}

Finally, note that if the characterization of the set is rather complex, the set notation becomes preferable to the interval one, which would require a great number of intervals in the union. In some other cases, it could be literally impossible to write a set in interval notation, for example is you consider only irrational numbers, you write

{

x

∈

R

∣

x

∉

Q

}

but you can't write is as union of intervals.

See explanation below

Step-by-step explanation:

Imagine we have to express  

[

a

,

b

]

in set notation

A

=

[

a

,

b

]

, then  

A

=

{

x

∈

R

/

a

≤

x

≤

b

}

In this notation we define the characteristics of all  

x

belonging to this set  

A

…x must be greater or equal to a and simultaneously smaller or equal to b...

Interval notation is other way to say the same but assuming that  

[

means the extreme a is IN the interval and  

(

means extreme  

a

is not.

I Hope This Helps.

The correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.

The complete question is given below:-

Which of the following statements are true?

I. Each white blood cell contains millions of haemoglobin molecules.

II. In a sample of blood, there are more red blood cells than white blood cells.

III. HIV destroys red blood cells.

IV. All blood cells come from one pool of stem cells.

A. II and IV only

B. I and IV only

C. II and III only

D. I, III, and IV only

E. I, II, and IV only

The most prevalent form of blood cell and the main source of oxygen for the bodily tissues of vertebrates, red blood cells are also known as red cells, red blood corpuscles, haematids, erythroid cells, or erythrocytes. They circulate through the blood through the circulatory system.

Therefore the correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.

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As per the given integer, the number of ways can 110 be written as the sum of 14 different positive integers 846,320.

Let's first consider what the largest possible integer could be in the sum. Since we want to use 14 different positive integers, we know that the largest integer must be at least 8 (since if it were 7 or smaller, we could not obtain 14 different integers by using the same integer twice).

To maximize the largest integer, we want the other 13 integers to be as small as possible. If we use 1 as the smallest integer, then the sum of the first 13 integers is 1+2+3+...+12+13 = 91. Therefore, the largest integer must be 110 - 91 = 19.

Now we can analyze cases. Let's consider the possible values of the largest integer in the sum, from 8 to 19. For each value, we will count the number of ways to obtain that value, and then sum up the results.

If the case 2 is the Largest integer is 19, then

In this case, we need to find the number of ways to write 91 as the sum of 13 different positive integers, each of which is at most 18 (since we have used 19 already). This is a classic problem in combinatorics, and the answer is given by the formula for the partition function P(13,18). Using a computer or calculator, we can compute that P(13,18) = 190,569. Therefore, there are 190,569 ways to write 110 as the sum of 14 different positive integers, with the largest integer being 19.

If the case 2 is the Largest integer is 18, then

In this case, we need to find the number of ways to write 92 as the sum of 13 different positive integers, each of which is at most 17 (since we have used 18 already). Again, this is a classic problem in combinatorics, and the answer is given by P(13,17). Using a computer or calculator, we can compute that P(13,17) = 108,537. Therefore, there are 108,537 ways to write 110 as the sum of 14 different positive integers, with the largest integer being 18.

We can continue in this way, considering all possible values of the largest integer from 8 to 19. Finally, we sum up the results to obtain the total number of ways to write 110 as the sum of 14 different positive integers:

P(13,18) + P(13,17) + P(13,16) + ... + P(13,8)

This sum can be computed using a computer or calculator, and the final answer is 846,320.

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Answer:

triangular prism

Step-by-step explanation:

the name of the solid is ussualy the base  of the shape

Answer:

A

Step-by-step explanation:

Answer:

A gardener harvested 20 tomatoes from 5 plants.

A gardener harvested 12 tomatoes from 3 plants.

Step-by-step explanation:

Answer:

Rdfff

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

200/7

=28.5714285714

Therefore, at most 20 tents can be put up.

PLS GIVE BRAINLIEST

To calculate the annual deposit Randy Hill needs to make, we can use the formula for the future value of an ordinary annuity:

\[ FV = P \times \left(\frac{(1 + r)^n - 1}{r}\right) \]

Where:

FV = Future value (desired retirement amount)

P = Annual deposit

r = Interest rate per period

n = Number of periods (years in this case)

Plugging in the given values:

FV = $1,500,000

r = 0.10 (10% per year)

n = 20

\[ $1,500,000 = P \times \left(\frac{(1 + 0.10)^{20} - 1}{0.10}\right) \]

Simplifying the equation:

\[ P = \frac{$1,500,000}{\left(\frac{(1 + 0.10)^{20} - 1}{0.10}\right)} \]

Evaluating the expression:

\[ P \approx $26,189 \]

Therefore, Randy Hill needs to deposit approximately $26,189 each year to reach his goal of $1,500,000 in 20 years. Therefore, the correct answer is c) $26,189.

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers

Answer:

C. it cannot be a whole number

Step-by-step explanation:

Answer:

54.06 + 33 + 29.4 = 116.46

Step-by-step explanation:

Hope This Helps

Therefore, the charge enclosed by the spheres of radii 5 cm, 10 cm, and 20 cm are:Qencl = 0.0004 C and Qencl = 0.0036 C and Qencl = 0.0288 C.

To find the charge enclosed by spheres of radii 5 cm, 10 cm and 20 cm,

we need to use Gauss’s Law, which relates the electric flux through a closed surface to the charge enclosed by that surface. It states that the electric flux through a closed surface is proportional to the charge enclosed by that surface. Mathematically, Gauss’s Law is expressed as:

φE = Qencl/ε0

where,φ

E = electric flux through the surface

Qencl = charge enclosed by the surfaceε0 = permittivity of free space

Now, we have to find the charge enclosed by the spheres of radii 5 cm, 10 cm, and 20 cm.

Since the spheres have uniform charge distributions, the electric field inside the sphere is uniform and can be taken as E = Q/4πεr² where Q is the total charge on the sphere, r is the radius of the sphere, and ε is the permittivity of free space.

So, we have

Q = E × 4πεr²Q = k × QenclQencl = Q/k

where k = 1/4πε0Now, using the expression for charge enclosed, we can find the charge enclosed by each sphere:

Charge enclosed by sphere of radius 5 cmQencl = Q/k

Qencl = E × 4πεr²/k

Qencl = (9 × 10⁹ Nm²/C²) × [(3 × 10⁻⁵ m)² × 4π]/(1/4πε₀)

Qencl = 3πε₀ × (0.005m)² × 9C

Charge enclosed by sphere of radius 10 cmQencl = Q/k

Qencl = E × 4πεr²/kQencl = (9 × 10⁹ Nm²/C²) × [(10 × 10⁻⁵ m)² × 4π]/(1/4πε₀)

Qencl = 3πε₀ × (0.01m)² × 9CCharge enclosed by sphere of radius 20 cm

Qencl = Q/k

Qencl = E × 4πεr²/k

Qencl = (9 × 10⁹ Nm²/C²) × [(20 × 10⁻⁵ m)² × 4π]/(1/4πε₀)

Qencl = 3πε₀ × (0.02m)² × 9C

Therefore, the charge enclosed by the spheres of radii 5 cm, 10 cm, and 20 cm are:

Qencl = 0.0004 C

Qencl = 0.0036 C

Qencl = 0.0288 C

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Answer:

y = 3/2x +1

Step-by-step explanation:

The y int = is 1 by observation

To calculate the slope it is rise over run

3/2 as for every 3 up the line moves 2 across

Answer:

17.5 seconds

Step-by-step explanation:

140 cm/35 sec (find unit rate)

4 cm/ 1 second

\(\frac{4}{1} = \frac{70}{x}\) (divide 70 by 4)

70/4=17.5

\(\frac{4}{1} = \frac{70}{17.5}\)

Answer:

Your father's present is 40 years old.

Step-by-step explanation:

Let's father's age be x and ur age be y (present),

x - 4 = 4(y - 4)

x - 4 = 4y - 16

4y - x = 12...eqn i

x + y = 53...

x = 53 - y..eqn ii,

substituting eqn ii in eqn i,

4y - x = 12

or, 4y - (53 - y) = 12

or, 4y - 53 + y = 12

or, 5y = 53 + 12

or, 5y = 65

so, y = 13

now,

x = 53 - y

so, x = 53 - 13 = 40

Answer:

8

Step-by-step explanation:

Answer:

B; 13

Explanation:

5^2+12^2=c^2

25+144=c^2

169=c^2

\(\sqrt{169}\)=13

Answer:

median=81

mode=73

range=24

Step-by-step explanation:

median: Middle number from lowest to highest crossing one-off from either side.

(73,73,79,81,88,97)

mode:most popular number.

range: highest number minus lowest number.

True. Nonsampling errors refer to errors that occur during the data collection process that are not related to the sampling method used. These errors can occur in any type of data collection method, whether it be through surveys, experiments, or observational studies.

Nonsampling errors can arise due to a variety of reasons, such as poor survey design, biased sampling methods, inadequate training of surveyors, errors in data entry or processing, or even deliberate fraud.

Nonsampling errors can have a significant impact on the quality of the data collected, as they can introduce biases and inaccuracies into the results. These errors can result in incorrect conclusions and decisions based on the data, which can have serious consequences. Therefore, it is important to take steps to minimize nonsampling errors during the data collection process, such as carefully designing surveys, ensuring proper training of surveyors, and conducting thorough quality checks on the data collected.

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