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SCORPION-xisa [38]
3 years ago
5

Lorenzo and Nicole survey students about their favorite subject. Lorenzo surveys 24 students. This is 4 times as many as the 6 s

tudents that Nicole suverys. Write an equation that represents this situation
Mathematics
1 answer:
LiRa [457]3 years ago
7 0

Answer:

y = 4 * x

y is the number of students that Lorenzo surveys,

x is the number of students that Nicole surveys.

Step-by-step explanation:

Lorenzo surveys 24 students, so we can use this value as the left side of our equation.

The number of students that Lorenzo surveys is 4 times as many as the number of students that Nicole surveys, that is 6. So, we use the value of 6 in the right side of the equation, and multiplied by 4 (the expression "4 times as many as" means that one value is the second one multiplied by 4)

The expression that represents this is:

24 = 4 * 6

If we use the variable y to express the number of students that Lorenzo surveys and x to express the number of students that Nicole surveys, we can write this equation:

y = 4 * x

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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t
andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: H_{0} = 3

Alternate: H_{a} = 3

The test-statistic is given by:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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

Sample of 100 customers.

This means that n = 100

3 tested at the null hypothesis

This means that \mu = 3

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that X = 3.1

The population standard deviation is known at 0.5 minutes.

This means that \sigma = 0.5

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0
3 years ago
Use the scenario below to answer questions 5 &amp; 6:
tia_tia [17]

Answer:

Hey there!

The expression is 2(7)+3(9)+5(4).

Let me know if this helps :)

8 0
3 years ago
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More math help please!
Nata [24]
AS we know that:

V=SA*h

And we have the volume and we can calculate the SA,,,

So that, we can conclude:
h= \frac{V}{SA} = \frac{323.5}{\pi (7)^2} =2.1015~~in

Are you satisfied?




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3 years ago
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The answer is A. (2,2)....
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3 years ago
How do i do #8 for this
Tju [1.3M]

Answer:

8=1.2x+2

Step-by-step explanation:

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