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3 years ago

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Which expression is equivalent to 8a + 14?

2 answers:

Setler79 [48]3 years ago

6 0

2(4a + 7) = 8a + 14...

hope it helped

White raven [17]3 years ago

5 0

Expanding each of the options, the only one that equals 8a + 14 is
2(4a + 7)

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Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that

amm1812

Answer:

The value is $P(| \^ p - p| < 0.05 ) = 0.9822$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.52$

The sample size is n = 563

Generally the population mean of the sampling distribution is mathematically represented as

$\mu_{x} = p = 0.52$

Generally the standard deviation of the sampling distribution is mathematically evaluated as

$\sigma = \sqrt{\frac{ p(1- p)}{n} }$

=> $\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }$

=> $\sigma = 0.02106$

Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

$P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))$

Here $\^ p$ is the sample proportion of persons with a college degree.

So

$P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )$

Here

$\frac{[\^p - p] - p}{\sigma } = Z (The\ standardized \ value \ of\ (\^ p - p))$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 } < Z < \frac{-0.47 + 0.52}{0.02106 }]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[ -2.37 < Z < 2.37 ]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(Z < 2.37 ) - P(Z < -2.37 )$

From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is

$P(Z < 2.37 ) = 0.9911$

and

$P(Z < - 2.37 ) = 0.0089$

So

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) =0.9911-0.0089$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = 0.9822$

=> $P(| \^ p - p| < 0.05 ) = 0.9822$

3 0

3 years ago

The double number line shows that Toni can type 180180180 words in 222 minutes. Based on the ratio shown in the double number li

vfiekz [6]

Answer:

<h3>Toni can type words in 3 minutes is 270 words</h3>

Step-by-step explanation:

Given that the double number line shows that Toni can type 180 words in 2 minutes.

<h3>To find how many words can Toni type in 3 minutes:</h3>

From the given Toni can type 180 words in 2 minutes,

⇒ Toni can type $\frac{180}{2}$

$= 90$

<h3>∴ 90 words per minute </h3>

For Toni would be able to type words in 3 minutes is

$90\times 3$

$= 270$

<h3>∴ 270 words per minute.</h3><h3>∴ Toni can type words in 3 minutes is 270 words.</h3>

6 0

3 years ago

Read 2 more answers

What is the value of x

Whitepunk [10]

Answer:

x = 98

Step-by-step explanation:

The sum of the interior angles in a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 7, thus

sum = 180° × 5 = 900°

Sum the interior angles and equate to 900

x + 146 + 122 + 142 + 140 + 110 + 142 = 900, that is

x + 802 = 900 ( subtract 802 from both sides )

x = 98

8 0

2 years ago

Which is the quotient of 5 ÷ 1/4 ? Use the model to help. due TOMMOROW help

DaniilM [7]

The answer would be 1.25.

6 0

3 years ago

45-45-90 method <br> Please help and show your work!!!

Dvinal [7]

Answer:

hope this helps and u understood it

check the steps in the picture attached

3 0

2 years ago