Find the value of r so that the line through (4,5) and (r,3) has a slope of 2/3

A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought i

garri49 [273]

Answer:

The degrees of freedom first given by:

$df=n-1=12-1=11$

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

$t_{\alpha}= 1.796$

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

Step-by-step explanation:

Information given

5, 7, 4, 6, 7, 5, 5, 6, 4, 4, 7, 5.

System of hypothesis

We want to test if the true mean is higher than 5, the system of hypothesis are :

Null hypothesis: $\mu \leq 5$

Alternative hypothesis: $\mu > 5$

The statistic is given by:

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

The degrees of freedom first given by:

$df=n-1=12-1=11$

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

$t_{\alpha}= 1.796$

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

6 0

3 years ago

Need help please very confuzzled

SVEN [57.7K]

I'm not too sure either.

5(5) + 3(5) = 40 and

5(2) + 3 (10) = 40

If you can't think of anything maybe that'll help

7 0

3 years ago

Read 2 more answers

Do you need fewer centimeters or fewer meters to measure the height of a doorway?

charle [14.2K]

Fewer meters, centimeters are too small of a unit to measure a doorway

8 0

3 years ago

Read 2 more answers

Write a paragraph to help Miguel explain to Hannah how to complete the problems. Be sure to explain the process step-by-step (re

Eddi Din [679]

Steps in multiplying fractions. Remember: finding common denominator is not necessary in multiplying fractions.
Common denominators are only needed in adding and subtracting fractions.

14/15 * 5/2

Step 1. Multiply the numerators.
14 * 5 = 70
Step 2. Multiply the denominators
15 * 2 = 30
Step 3. Simplify the fraction.
70/30 = 2 10/30 = 2 1/3

*the fraction 10/30 can still be simplified by dividing both numbers by 10. Hence, 1/3.

Steps in Dividing fractions.

24/60 ÷ 8/15

Step 1. Get the reciprocal of the 2nd fraction. Reciprocal means the reverse of the fraction. Simply swap the places of the numbers.

Reciprocal of 8/15 is 15/8.

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction. Follow steps in multiplying fractions.

24/60 * 15/8 = (24*15) / (60*8) = 360/480

Step 3. Simplify the fraction.
360/480 = 9 / 12 = 3/4

360 ÷ 40 = 9 ; 9 ÷ 3 = 3
480 ÷ 40 = 12 ; 12 ÷ 3 = 4

4 0

3 years ago

The following table shows the weights, in hundreds of pounds, for six selected cars. Also shown is the corresponding fuel eff

Reika [66]

Answer:

Step-by-step explanation:

Given is a table showing the weights, in hundreds of pounds, for six selected cars. Also shown is the corresponding fuel efficiency, in miles per gallon (mpg), for the car in city driving.

Weight Fuel eff. x^2 xy y^2

X Y

28 20 784 560 400

3 22 9 66 484

35 19 1225 665 361

32 22 1024 704 484

30 23 900 690 529

29 21 841 609 441

Mean 26.16666667 21.16666667 797.1666667 549 449.8333333

Variance 112.4722222 1.805555556

Covariance -553.8611111

r -0.341120235

Correlaton coefficient =cov (xy)/S_x S_y

Covariance (x,y) = E(xy)-E(x)E(y)

The correlation coefficient between the weight of a car and the fuel efficiency is -0.341

8 0

3 years ago