Answer:
X=75 Bottom is 75, right is 105, up is 70, left is 110.
Step-by-step explanation:
4.4x+30=360
4.4x=330
x=75
Determine which sets of lengths can form a right triangle
A sweater is marked down from $25 to $18. What is the percent of change
Answer:
28 percent off is the answer :)
Step-by-step explanation:
Answer: -28%
18 - 25 / 25
x 100% = -28%
Step-by-step explanation: A change from 25 to 18 represents a negative change, or decrease of -28.000000000000004%
I hope this is somewhat helpful :)
A bag contains marbles of four different colors listed below. What is the probability of picking a BLUE marble at random out of the bag?
8 blue marbles, 24 red marbles, 16 green marbles, 4 yellow marbles.
~
1) 8/100
2) 2/13
3) 6/13
4) 4/13
Step-by-step explanation:
Total marbles = 24 + 8 + 16 + 4 = 52
Probability of blue marble = 8/ 52 = 4 / 26 = 2 / 13
Option 2 is the correct answer
Dr. Fahrrad has been riding his bike to his job and is curious how many ATP his body is breaking apart in order to do the work required to get to his job.
Dr. Fahrrad rides 4.6 kilometers to his job, has a mass of 74.9 kilograms and has an average acceleration of 1.4 kilometers per second squared.
The molecule ATP is able to do work, measured in kilojoules per mole of ATP broken into ADP. The SI unit for work is a joule. Using the information given we can calculate work and then convert to moles of ATP.
The first step is to take stock of what we are given in the word problem and what we are trying to find. We have mass, distance, and average acceleration. We are trying to find how many ATP are required to power the bike ride to work.
The equation for work, is force times distance and will tell us how many joules Dr. Farrhad is using on his bike ride. It also incorporates one of our given variables, distance. However, the distance was reported in kilometers and the SI unit of distance is the meter. It is necessary to convert to meters before using this equation.
The equation for Force is mass times acceleration. This will incorporate our remaining two variables, mass and acceleration. Again, the information given to us was in km·s-2 but the SI unit for acceleration is m·s-2. It is necessary to convert to m·s-2 before substituting into the equation.
By substituting the equation for F into the equation for W, we can figure out how many joules Dr. Fahrrad is burning on his ride to his job.
In order to use these equations, we are assuming quite a few things. Below are some of the assumptions.
no friction
no mass of the bike
a flat ride with no change in altitude
This equation above will calculate work in joules. The conversion factor for switching between ATP and work is given in kilojoules. The units must match to correctly perform the conversion.
The last step is to convert work, calculated in joules, into moles of ATP being broken required to do the work. If we assume standard temperature and pressure, the breakdown of a mole of ATP releases 29 kilojoules available to do work.
How many moles of ATP is Dr. Farrhad breakdown to get to work? Report your answer to one decimal place.
Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.
The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:
W = F * d
where:
W is the work done in joules
F is the force in newtons
d is the distance in meters
The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.
The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.
Plugging these values into the equation for work, we get:
W = 102.8 N * 4600 m = 472320 J
The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:
472320 J / 29 kJ/mol = 162.6 mol
To one decimal place, this is 0.23 moles of ATP.
Here are the assumptions that we made in this calculation:
No friction
No mass of the bike
A flat ride with no change in altitude
These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.
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where should he search for the dog on the second day? what is the probability that the dog is still lost at the end of the second day?
The probability that the dog is still lost at the end of the second day is 0.41
To solve this problem, we can use Bayes' theorem, which allows us to update the probability of an event based on new information.
Let A be the event that the dog is in forest A, and B be the event that the dog is in forest B. Let F be the event that the dog is found within two days.
We want to calculate P(F'), the probability that the dog is still lost at the end of the second day. We can use the law of total probability to express this as
P(F') = P(F'|A) × P(A) + P(F'|B) × P(B)
where P(F'|A) is the probability of not finding the dog within two days given that the dog is in forest A, P(F'|B) is the probability of not finding the dog within two days given that the dog is in forest B, and P(A) and P(B) are the prior probabilities of the dog being in forest A and forest B, respectively.
Using the information given in the problem, we can calculate
P(F'|A) = 1 - 0.5 = 0.5 (the probability of not finding the dog in forest A within two days is 1 - 0.5 = 0.5)
P(F'|B) = 1 - 0.8 = 0.2 (the probability of not finding the dog in forest B within two days is 1 - 0.8 = 0.2)
P(A) = 0.7 (the prior probability of the dog being in forest A)
P(B) = 0.3 (the prior probability of the dog being in forest B)
Plugging these values into the formula above, we get
P(F') = 0.5 × 0.7 + 0.2 × 0.3 = 0.41
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The given question is incomplete, the complete question is:
Oscar has lost his dog; there is a 70% probability it is in forest A and a 30% chance it is forest B. If the dog is in forest A and Oscar looks there for a day, he has a 50% change of finding the dog. If the dog is in forest B and Oscar looks there for a day, he has an 80% chance of finding the dog. what is the probability that the dog is still lost at the end of the second day?
50 points
If dividing polynomial P(x) by polynomial Q(x) produces a remainder of 0, then Q(x) is a factor of P(x).
True or False
Answer:
True
Step-by-step explanation:
If dividing polynomial P(x) by polynomial Q(x) produces a remainder of 0, then it means that Q(x) is a factor of P(x). This is because when we divide P(x) by Q(x), we are looking for a polynomial that, when multiplied by Q(x), will give us P(x). If the remainder is 0, it means that Q(x) is a factor of P(x) because it can be multiplied by Q(x) to give us P(x) exactly, with no remainder.
When examining group difference where the direction of the difference is specified, which of the following is used? Select one: a. two-tailed test b. one-tailed test C. directional hypothesis o d. critical value
When examining group differences with a specified direction, a one-tailed test is used i.e., option b is correct.
In statistical hypothesis testing, researchers often have a specific direction in mind when comparing two groups.
For example, they may hypothesize that Group A performs better than Group B or that Group A has a higher mean than Group B. In such cases, a one-tailed test is appropriate.
A one-tailed test is designed to detect differences in a specific direction. It focuses on evaluating whether the observed data significantly deviates from the null hypothesis in the specified direction.
The null hypothesis assumes no difference or no relationship between the groups being compared.
In a one-tailed test, the critical region is defined on only one side of the distribution, corresponding to the specified direction of the difference.
The critical value, which determines whether the observed difference is statistically significant, is chosen based on the desired level of significance (e.g., alpha = 0.05).
On the other hand, a two-tailed test is used when the direction of the difference is not specified, and the researchers are interested in determining whether there is a significant difference between the groups in either direction.
In this case, the critical region is divided equally between the two tails of the distribution.
A directional hypothesis (option C) is a statement that specifies the expected direction of the difference, but it is not the statistical test itself. The critical value (option D) is the value used to determine the cutoff for rejecting or accepting the null hypothesis.
Therefore, when examining group differences with a specified direction, a one-tailed test is used to assess the statistical significance of the observed difference in that particular direction.
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Find the value of c that makes the trinomial a perfect square: x^2– 40x + c
Answer:
c=400
Step-by-step explanation:
Use the perfect square formula:
ax^2+bx+c=0
x^2-40x+c=0
bring c to the other side
x^2-40x+___=-c
divide -40 by 2 then square it; 400
add 400 to each side
c=400
(x-20)(x-20)
The value of c that makes the trinomial a perfect square x²– 40x + c is 400.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
We have to find the value of c that makes the trinomial a perfect square: x²– 40x + c
Lets use the perfect square formula:
ax²+bx+c=0
The given equation is given below.
x²-40x+c=0
Take the c term to the right hand side
x²-40x=-c
x²-40x+400=-c+400
c=400
Hence, the value of c that makes the trinomial a perfect square x²– 40x + c is 400.
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write an equation of the line that passes through each pair of points (-8, -3), (-1, 2)
Answer: y=−1/7x+13/7
Step-by-step explanation: m=x2-x1/y2-y1, then put it in slope formula
Around 1950, family sociologists described a standard pattern of marriage at about age 20 for women and age ____ for men
a) 22
b) 26
c) 20
d) 18
Around 1950, family sociologists described a standard marriage pattern at about age 20 for women and age a) 22 for men.
What is the standard pattern of marriage today?The standard marriage pattern today, based on the time a couple marries, is mid-to-late twenties. Some marriages are contracted very late, with some in the forties.
Sociologists have pointed out that the current delay in marriages is caused by the higher priority placed on education and career by youths.
However, marriage patterns based on the type of arrangement include:
MonogamyPolygamyEndogamy or group marriage.Traditionally, marriages have served two societal purposes:
Guaranteeing property rightsThe upbringing of children.Thus, around 1950, family sociologists described a standard marriage pattern at about age 20 for women and age 22 for men.
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Edna has a new St. Bernard puppy. He found a mud puddle on their last walk, so Edna needs to give him a bath. She buys a bottle of dog shampoo that costs $3.99. The bottle contains 28.5 ounces of shampoo. What is the cost per ounce of shampoo?
Answer: 7.142857142857143
Step-by-step explanation: all you have to do is divide 28.5 by 3.99
The cost per ounce of shampoo is 7.15 ounce.
Assume that the cost per ounce of shampoo is ${x}.
Total cost of bottle of a dog shampoo is $3.99.
Amount of shampoo in the bottle is 28.5 ounces.
So, we can write the cost per ounce of shampoo as
x = 28.5/3.99
x = 7.15 ounce
The cost per ounce of shampoo is 7.15 ounce.
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When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. How tall wa the buh after the two week
When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is \(\\26 \frac{2}{5}\).
What is improper fractions?
An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.
12 times 120% + 12
12*120%+12
\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)
Follow the PEMDAS order of operations
Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)
\(=\frac{72}{5}+12$$\)
Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)
\(=\frac{132}{5}$$\)
Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)
\(=26 \frac{2}{5}$$\)
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questions in the attached img. thanks in advance
Answer:
\(\(\: \blue{ \rule{10pt}{100000pt}}\)\(\: \pink{ \rule{10pt}{100000pt}}\)\(\: \green{ \rule{10pt}{100000pt}}\)\(\: \violet{ \rule{10pt}{100000pt}}\)
\\ \(\: \blue{ \rule{10pt}{100000pt}}\)\(\: \pink{ \rule{10pt}{100000pt}}\)\(\: \green{ \rule{10pt}{100000pt}}\)\(\: \violet{ \rule{10pt}{100000pt}}\)
\)
About 1.37x10^7 people in South America speak English.
English is the primary language for about 3.7 x 10^6 of the
people. About how many times as much people speak
English as their primary language?
Answer:
1 x 106
Step-by-step explanation:
Help me with this please
\( \huge \color{Lime} Answer: \)
\( \medium \color{Red} Cone\)
- E. ⅓ (pi r²) h\( \medium \color{Yellow} Cylinder \)
- A. (pi r²) h\( \medium \color{Purple} Rectangular Prism\)
- B. (lw) h\( \medium \color{Green} Triangular Prism \)
- C. (½ bh) h\( \medium \color{Blue} Rectangular Pyramid \)
- D. ⅓ (lw) hWatch carefully because Cylinder and Rectangular Prism changed position.how do you solve this 1 1/4 + 1 1/2
Answer:
your answer for 11/4+11/2 would be 8.25
Step-by-step explanation:
Answer:
1 1/4 + 1 1/2 = 2 3/4
Step-by-step explanation:
first do 1/4 plus 1/2 to solve that you need the same denominator. To get the same denominator you have to see which number they both go into equally, 4 goes into 4 once and 2 goes into 4 twice, meaning you can make both denominators 4. 2 * 2 = 4 and if you do something to the denominator you have to do it to the numerator, so 1/2 would become 2/4. 1/4 plus 2/4 is 3/4. now move onto the whole numbers 1+1=2. so, the answer must be
2 3/4. hope this helps
Joshua find the perimeter of the following composite figure composed of a square and right triangle so that a braid may be cut to install around its outer edge. determine what is wrong with his calculations and how to find the correct length
Answer:
I'm not really sure man :P
What is the solution to
Ax+ bx + C=0
Answer:
x = -C / (A + b)
Step-by-step explanation:
Without given values for the constants A, b, and C (Assuming they are constants), the best we can do is to isolate the variable x. Let's proceed to solve for x.
Ax + bx + C = 0
x (A + b) + C = 0
x (A + b) = -C
x = -C / (A + b)
So now, when you get the values of the constants A, b, and C, you can plug those in to solve for variable x.
Cheers.
Write an expression to find the amount of money you will earn in a day if you are paid $10.25 an hour and spend $4.00 round trip to get to and from work.
A. 10.25h − 4
B. 10.25h + 4
C. 10.25h(4)
D. 10.25h / 4
Answer:
A. 10.25h − 4
Step-by-step explanation:
Hope this helps
what is the probability a sample of 49 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the evidence-based reading and writing part of the test?
The likelihood or probability that the population mean evidence-based reading and writing test score of 533 will be within 10 points of the sample mean test score provided by a sample of 49 test takers is 0.274.
From the given information, we have:
The population mean, μ = 533
The sample size, n = 49
The population standard deviation, σ = 100
The standard deviation for X is:
= 100/√49 = 14.2857142857
Normal distribution with mean 533 and SD of 12.3091
P( 523 <x< 543 )
Z = 10 ÷ 14.2857142857
Z = 0.7, - 0.7
P( z < 0.7 ) - P( z < - 0.7 )
= 0.75804 - 0.48393
= 0.27411
The required probability is 0.274.
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The complete question is mentioned below:
A certain organization reported the following scores for two parts of the scholastic Aptitude test ( SAT)
Evidence-based Reading and writing: 533
Mathematics : 527
Assume the population standard deviation for each part is σ = 100.
What is the probability a sample of 49 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-based Reading and Writing part of the test?
about ____ of the possible outcomes occur within one standard deviation of the mean\
Answer:
68%
Step-by-step explanation:
In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:
About 68% of the data falls within one standard deviation of the mean.About 95% of the data falls within two standard deviations of the mean.About 99.7% of the data falls within three standard deviations of the mean.David can paint a fence in ten hours. Alex can paint the same fence in eight hours. If
they worked together how long would it take them?
1/10
1/8
9/40
40/9
Answer:
40/9
Step-by-step explanation:
Use the work formula, \(\frac{1}{A}\) + \(\frac{1}{B}\) = \(\frac{1}{T}\), where A is the amount of time it takes one person, B is the amount of time it takes another person, and T is the time it takes for them to work together.
Plug in the times for David and Alex alone:
\(\frac{1}{10}\) + \(\frac{1}{8}\) = \(\frac{1}{T}\)
Find the least common denominator, which is 40.
\(\frac{4}{40}\) + \(\frac{5}{40}\) = \(\frac{1}{T}\)
\(\frac{9}{40}\) = \(\frac{1}{T}\)
Cross multiply and solve for T:
9T = 40
T = 40/9
So, if they worked together, it would take them 40/9 hours
Answer:
40/9
Step-by-step explanation:
just helped my sister with this question.
A room has a length of 8 m. A scale diagram is drawn of the room. In the diagram, the room has a length of 1 cm. What is the scale of the diagram? Give your answer as a ratio in the form 1 : k , where k is an integer.
The scale of the diagram as described in the task content is; 1: 8 where k= 8.
What is the scale of the diagram?It follows from the task content that the original length of the room in discuss is 8cm. It therefore follows that the length of the room in the scale diagram is 1cm. On this note, the scale of the diagram in discuss is; 1 : 8 as 1cm on the diagram corresponds to 8cm actual length.
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Use a ruler and pair of compasses to make an accurate drawing of line
AB and its perpendicular bisector, as shown. You must show all of your
construction lines.
Mark point C on your drawing.
Measure the length of AC in your drawing to 1 d.p.
Step-by-step explanation:
1. Draw a line of 8cm.
2. Take a compass and keep it in the length of more than 8 cm.
3. Draw an arc from point A and B which will intersect at point between A and B.
4. Draw a straight line from the arc.
5. You will find out that the line will be drawn exactly between A and B at 4cm.
State the property being illustrated in each example.
5.) 6(5x) = (6.5)x
6.) 14 + x + 8 = 14 + 8 + x
7.) 9(y + 4) = 9y + 36
8.) (a + 100) + 50 = a + (100 + 50)
9.) 1/4 (8x - 20) = 2x-5
10.) 25 - 7 = 25 .7 . y
Answer:
5.) Associative Law
6.) Commutative Law
7.) Distributive Law
8.) Associative Law
9.) Distributive Law
10.)
Step-by-step explanation:
The associative law means that if all the arithmetic operations in an equation are the same, the position of the brackets do not matter and no matter which variables are associated, the result would still be the same.
The commutative law means that if all the arithmetic operations in an equation are the same, the position of the variables do not matter and no matter what order the variables are placed, the result would still be the same.
The distributive law means that whatever is outside of the bracket has to be multiplied into the variables in the bracket evenly. E.g. 1/4 (8x - 20) involves multiplying both 8x by 1/4 and 20 by 1/4.
Does any one know the answer to this thank you
Answer:
The First choice
Step-by-step explanation:
pls help asp [(4+3)⋅5−6]⋅2
23
24
29
58
What theorem can be used to prove that the two triangles are similar? A) SSS Similarity Theorem B) SAS Similarity Theorem C) SSA Similarity Theorem
Answer:
C) SSA Similarity Theorem
Step-by-step explanation:
The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.
Solve using method of elimination (full working out step by step)
-4x + 3y = 31
4x- y = -21
Answer:
answer in the picture step by step
Consider the following time series y(t): 10, 20, 30, 40, 50 for time periods 1 through 5. Using a moving average of order p = 3, a forecast for time period 6 is
Using a moving average of order p = 3, a forecast for time period 6 is 46.
The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.
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