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just olya [345]
3 years ago
10

I just really need help with these 3 questions.

Mathematics
1 answer:
Oksanka [162]3 years ago
8 0
For the 11 the first one is x = 4y and for the 2 one it will be x=−6−2y
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A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of
GenaCL600 [577]

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.989.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

8 0
3 years ago
YO PLEASE HELP ME NOW!!!!!!!!
grigory [225]

Answer:

N is equal to 5

Explanation:

N is equal to 5 because 7 subtracted from 12 and 8 subtracted 13 are equal 5.

6 0
3 years ago
The equation of the line f is y =4/9x+3/2.Line g is perpendicular to f. What is the slope of line g?
tangare [24]

Answer:

-9/4

Step-by-step explanation:

A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.

7 0
2 years ago
Solve the equation. Round the answer to the nearest tenth.<br> 5*6^3n=20
solniwko [45]

Step-by-step explanation:

5×6'3n=20

30'3n=20

3n=20-30

3n/3= -10/3

n= -3

7 0
3 years ago
Why is -16 the leading coefficient in quadratic applications
Lady bird [3.3K]

Answer:

Step-by-step explanation:e equation has a leading coefficient of 1 or if the equation is a difference of squares. The zero-factor property is then used to find solutions. ... Another method for solving quadratics is the square root property. The variable is squared.

3 0
3 years ago
Read 2 more answers
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