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3 years ago

In y=3x+1, where does the line cross the y axis?

Mathematics

1 answer:

dimaraw [331]3 years ago

4 0

Answer: when x =0

Step-by-step explanation:

Y=3(0)+1

0+1

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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

O A. 17 degrees<br> O B. 163 degrees<br> O C. 73 degrees

eduard

Answer: B 163 degrees

Step-by-step explanation:

That's an obtuse angle, bigger than 90 degrees, so we read the appropriate upper scale for the angle.

6 0

3 years ago

Read 2 more answers

givings direccións to find different ranger staton.unluckily all the ranger are busy rescuing others campers and can't come to y

DENIUS [597]

To find the resultant vector you need to add the horizontal and vertical components of each individual vector.
Cosine for horizontal, Sine for vertical.
$v = \ \textless \ |v|cos \theta, |v| sin \theta\ \textgreater \$
Where |v| is magnitude or length of vector.
Lets look at first ranger station. First vector has magnitude 4.5 with angle of 90.
Next has magnitude of 8.1 with angle of 125.
$F_1 = \ \textless \ 4.5 cos(90)+8.1 cos(125) , 4.5 sin(90) + 8.1 sin(125) \ \textgreater \$
$F_1 = \ \textless \ -4.646, 11.135\ \textgreater \$
Find magnitude:
$|F_1| = \sqrt{((-4.646)^2+(11.135)^2} = 12.065$
Do the same with 2nd ranger station:
$F_2 = \ \textless \ 7.5 cos(20) + 5.3 cos(100), 7.5 sin(20) + 5.3 sin(100)\ \textgreater \$
$F_2 = \ \textless \ 6.127, 7.784\ \textgreater \$
$|F_2| = \sqrt{(6.127)^2 + (7.784)^2} = 9.9$

Therefore the 2nd ranger station is closest to starting point.

6 0

4 years ago

What is the constant rate

dedylja [7]

The answer is Cu = X times 2.5

3 0

4 years ago

What is m_8 if m_4= 50 degrees?

Aneli [31]

50 degrees because the lines are parallel

4 0

3 years ago