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marta [7]
3 years ago
11

Write an equation of the line the passes through (0,-1) and is perpendicular to the line y=x-6

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

Answer:

y = (-1) - x

And no, its not the same as y = 1 + x

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A counselor at a community college claims that the mean GPA for students who have transferred to State University is more than 3
Lena [83]

Answer:

t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3  

If we compare the p value and the significance level for example \alpha=1-0.99=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

Step-by-step explanation:

Data given and notation  

\bar X=3.25 represent the sample mean

s=0.3 represent the sample standard deviation

n=36 sample size  

\mu_o =3.1 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is more than 3.1, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.1  

Alternative hypothesis:\mu > 3.1  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3  

P-value  

The first step is calculate the degrees of freedom, on this case:  

df=n-1=36-1=35  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(35)}>3)=0.00247  

Conclusion  

If we compare the p value and the significance level for example \alpha=1-0.99=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

5 0
3 years ago
Write two equivalent fractions for the point on the number line.
navik [9.2K]

The values on the number line are between 0 and 1. There are 8 points from 0. The distance between two consecutive points would be

1/8 = 0.125

Since the given point is on the second point after 0, the equivalent value would be

2 * 1/8 = 2/8

Dividing the numerator and denominator of 2/8 by 2, we have 1/4

Thus, the two equivalent fractions for the point on number line are

2/8 and 1/4

5 0
1 year ago
Find the error sienna used base-ten blocks to find 45÷3 .explain her error
Harrizon [31]
The answer to your question is 15

5 0
3 years ago
Show the factors of 5 x y square + 7 x square y by tree diagram​
zlopas [31]

Answer:

Answer:

Domain = {x /x ≥ -7}

Step-by-step explanation:

The given function y =

Inside the square, negative will not come.

First let's find the domain. x + 7 must be greater than or equal to 0.

x + 7 ≥ 0

Solving x, we get

x ≥ -7

Domain = {x /x ≥ -7}

Hope this will help you.

3 0
3 years ago
Solve three-halvesx – 4 = 16
Leto [7]
3/2x - 4 = 16

Add 4 to both sides.

3/2x = 20

Multiply by 2/3.

x = 13 1/3
4 0
3 years ago
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