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3 years ago

Please complete the attachment attached below

Mathematics

2 answers:

tatiyna3 years ago

7 0

Answer:

Step-by-step explanation:

a) 70

This is because 70 is mentioned 3 times

b)70

It’s the middle number

c)28

85-57=28

Mrac [35]3 years ago

4 0

Answer:

(a) mode is 5.

(b) median is 5

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Of the 482 graduating seniors at Palmdale High School, approximately 5/8 are going to college, and approximately 1/2 of those go

zavuch27 [327]

Answer:A

Step-by-step explanation:

trust

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3 years ago

The mean number of hours of flying time for pilots at Continental Airlines is 49 hours per month. Assume that this mean was base

Effectus [21]

Answer:

a) 17.09 hours

b) The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t distribution 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 = 49 - 1 = 48

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 48 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0106

The margin of error is:

M = T*s = 2.0106*8.5 = 17.09

s is the standard deviation of the sample. 17.09 hours is the answer for a.

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 17.09 = 31.91 hours

The upper end of the interval is the sample mean added to M. So it is 49 + 17.09 = 66.09 hours

The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

8 0

3 years ago

Find the equation of a line that is perpendicular to 4y-3x=1 and passes through point (-7,0).

Mnenie [13.5K]

Answer:

-4/3x + -28/3

Step-by-step explanation:

First you rearrange 4y-3x=1

y= 3/4x +1/4

then you reciprocate and change the sign the slope since you are trying to find a line perpendicular to it.

Slope(m) =-4/3

then you use the formula <em>y-y1= m(x-x1)</em>

y-0= -4/3 (x--7)

y= -4/3 +-28/3

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3 years ago

An industrial psychologist consulting with a chain of music stores knows that the average number of complaints management receiv

vova2212 [387]

Answer: See explanation

Step-by-step explanation:

1. Use the five steps of hypothesis testing.

Step 1: The aim of the research is to conduct the five steps of hypothesis testing.

Step 2:

Null hypothesis: H0 u= 4

Population mean: H1 u = 4

Alternate hypothesis: u ≠ 4

Population mean: u ≠ 4

Step 3 and step 4 are attached.

Step 5: Based on the calculation, the calculated value of t is less than the t critical value, therefore, the null hypothesis will be failed to be rejected.

2. Sketch the distributions involved

This has been attached.

3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind.

The distribution is "t".

The means is tested by using T-test.

Chi-square is used to test the single variance.

8 0

2 years ago

The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle m

evablogger [386]

ANSWER

$x = 50.5 \degree$

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,

$\frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c}$

From the triangle,

$\frac{ \sin(x) }{60} = \frac{ \sin(40) }{50}$

We multiply both sides of the equation by 60 to get,

$sin(x) = \frac{ 60\sin(40 \degree) }{50}$

$sin(x) = 0.7713$

We solve for x to obtain,

$x = arcsin(0.7713)$

$x = 50.475$

To the nearest tenth, we round to one decimal place to get,

$x = 50.5 \degree$

7 0

3 years ago