Write the resulting inequality. 1. −5 ≤ −2; Add 7 to both sides

The midpoint between (-4, 4) and (-2, 2)

Sav [38]

The midpoint is (-3,3)

5 0

2 years ago

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by World One Research, included the question, "H

LenaWriter [7]

Answer:

A 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

Step-by-step explanation:

We are given that x is normally distributed with a known standard deviation of 12.6.

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average mean response = 9 hours

$\sigma$ = population standard deviation = 12.6

n = sample of legal professionals = 250

$\mu$ = mean number of hours a legal professional works

Here for constructing a 95% confidence interval we have used One-sample z-test statistics as we know about population standard deviation.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $9-1.96 \times {\frac{12.6}{\sqrt{250} } }$ , $9+1.96 \times {\frac{12.6}{\sqrt{250} } }$ ]

= [7.44 hours, 10.56 hours]

Therefore, a 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

5 0

2 years ago

Can someone please help me out

earnstyle [38]

Answer:

the second choice

Step-by-step explanation:

The base is 9 units and the height is 4 units.

3 0

3 years ago

Read 2 more answers

Find the measures of all angles formed by line a parallel to line b with transversal m, if: the sum of two angles is 68°

irina1246 [14]

Answer with Explanation

If two lines are parallel a and b a line m cross in this case.

Corresponding angles are congruent if line a and lines b are parallel. All angles who have the same position with regards to the parallel lines and the transversal are called corresponding pairs. Two angles that are opposite each other as D and B in the figure above is called vertical angles.

Vertical angles are always congruent. Angles that are on the opposite sides of the transversal are called alternate angles like <H,<B.

So <G=,<E is opposite angle must same and < F= ,<H is the same sum of two angles are 68. If it is divided by 2 68/2 =34 one angle is of 34 sums of angle of straight angle is 180 as we know so 180 – 34 = 146. Therefore, angle answer <G = <E = <C = <A = 146 and <F = <H = <B = <D = 34.

4 0

3 years ago

What is equation to find 24÷8

marta [7]

You have the equation

6 0

2 years ago

Read 2 more answers