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nikitadnepr [17]
3 years ago
13

Harry collects data from a random sample of seventh-graders. Out of 25 respondents, 10 ride the bus home. Of the 150 seventh-gra

ders who attend Harry’s school, how many would be expected to ride the bus to school?
Mathematics
2 answers:
alekssr [168]3 years ago
7 0

10/25=x/150

x=60

so 60 students

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Ne4ueva [31]3 years ago
3 0
You would divide 150 by 25 which equals 6 and times it by 10 so it would be 60
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describe the steps you would take to transform the equation 10x + 2y = 25 into the equation y = -5x + 25/2
saveliy_v [14]
10x + 2y = 25
Then rearrange the equation to get 10x on the same side as 25.

Keep in mind, once bringing to the other side, your constant and variable will switch to a negative or positive for example,
-10x will become +10x. Another example is +20x will become -20x once brought to the other side.

Continuing on once rearranged, your equation will look like,
2y = - 10x + 25

Then we have to get rid of the 2 on 2y so you will have to divide both sides by 2.
\frac{2y}{2} = \frac{ - 10x + 25}{2}
Dividing both sides by 2, you will get,
y = - 5x + \frac{25}{2}
The reason why we don't divide and rather keep the 25/2 (25 divded by 2) is because 25 divided by 2 will give an answer with a decimal and that we don't want a decimal in our equation so we just keep it the way it is. If you ever get a decimal, make sure you keep it in its fraction form.
4 0
3 years ago
Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 s
boyakko [2]

Answer:

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

Step-by-step explanation:

Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 square feet. Test to see if the average size of new homes exceeds 2,400 square feet.

At the null hypothesis, we test if the average is of 2400 square feet, that is:

H_o: \mu = 2400

At the alternate hypothesis, we test if the average is greater than 2400 square feet, that is:

H_a: \mu > 2400

The test statistic is:

Since we have the standard deviation for the sample, we use the t-distribution.

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

2400 is tested at the null hypothesis:

This means that \mu = 2400

A random sample of 36 newly constructed homes had an average of 2,510 square feet with a sample standard deviation of 480 square feet.

This means that n = 36, X = 2510, s = 480

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{2510 - 2400}{\frac{480}{\sqrt{36}}}

t = 1.375

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a sample mean of at least 2510, which is the pvalue of t = 1.375 with 36 - 1 = 35 degrees of freedom, using a one-tailed test.

With the help of a calculator, this pvalue is of 0.09

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

6 0
3 years ago
Multiplication to find ratios that are equivalent to 4:5
Sindrei [870]

Answer:

You can multiply 4 and 5 by a number, and it will be equivalent.

Let's use the number 3.

4 x 3=12

5 x 3=15

So, it will be 12:15

8 0
3 years ago
13. Marco's height is 63 inches. Marco's height is 3 inches less than 1.5 times Jennifer's height.
qaws [65]

Answer:

Jennifer is 90 inches tall

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
For sisters bought a present for their father. They recieved a 10% discount on the original price of the gift . after the discou
Basile [38]
Since they each paid the same amount, we can figure out that 9*4=36 dollars is the price of the gift. Next, since there was a 10% discount (or 0.1 by moving the decimal 2 spots to the left), we can say that the original gift price is x and 
x-0.1*x=0.9*x due to that we subtract the 10% discount (and it's 10% of the original price). In addition, the sisters paid 0.9*x, which is 36. Dividing both sides by 0.9, we get x=40
7 0
3 years ago
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