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jek_recluse [69]
4 years ago
8

Write and simplify an expression for the perimeter of each figure.

Mathematics
1 answer:
gavmur [86]4 years ago
8 0

6m

Step-by-step explanation:

2(2m-1) + 2(m+1)

= 4m - 2 + 2m + 2

= 6m - 2 + 2

= 6m

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4 years ago
Type your answer in decimal form. Do not round. Millimeters=9.2 centimeters
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Step-by-step explanation:


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3 years ago
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is
insens350 [35]

Answer:

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

Step-by-step explanation:

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.

This means that the null hypothesis is:

H_{0}: p \geq 0.16

Testing this hypothesis, means that the alternate hypothesis is:

H_{a}: p > 0.16

The test statistic is:

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.

0.16 is tested at the null hypothesis:

This means that \mu = 0.16, \sigma = \sqrt{0.16*0.84}

In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.

This means that n = 200, X = \frac{24}{200} = 0.12

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.12 - 0.16}{\frac{\sqrt{0.16*0.84}}{\sqrt{200}}}

z = -1.54

Pvalue:

The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.

Looking at the z-table, z = -1.54 has a pvalue of 0.0618

1 - 0.0618 = 0.9382

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

6 0
3 years ago
A car travels 35 mph for r+2 hours,how far does it travel
Paladinen [302]
Recall d = rt, distance = rate * time.

\bf d=rt\qquad 
\begin{cases}
r=\stackrel{mph}{35}\\
t=\stackrel{hours}{r+2}
\end{cases}\implies d=35(r+2)\implies d=35r+70
3 0
4 years ago
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