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3 years ago

Simplify the expression.

Mathematics

2 answers:

german3 years ago

5 0

The correct answer is d

miss Akunina [59]3 years ago

4 0

It is D because
-24 /4n will equal -6n because the n won't go away

8m/4n will equal 2mn because you can always have two variables on one number and the n is not going anywhere

-100p/ 4n will equal -25np because of the same reason as the upper one.

so -6n + 2mn -25np is the simplified expression

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Viefleur [7K]

Answer:

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Step-by-step explanation:

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3 years ago

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Lelu [443]

Answer:

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Step-by-step explanation:

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3 years ago

The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate

Rudiy27

Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

$CI=\hat p\pm z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }$

The margin of error is:

$MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }$

Given:

$\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90$

The critical value of <em>z</em> for 90% confidence level is:

$z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645$ *Use a standard normal table.

Compute the sample size required as follows:

$MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910$

Thus, the sample size required is 910.

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4 years ago

The time it takes you to go a certain distance varies inversely with the speed of travel. Suppose it takes you 4 hours to get to

fgiga [73]

$\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \textit{time it takes varies inversely with the speed rate}\qquad \stackrel{time}{t}=\cfrac{k}{\stackrel{rate}{r}}
\\\\\\
\textit{we also know that }
\begin{cases}
t=\stackrel{hrs}{4}\\
r=\stackrel{mph}{50}
\end{cases}\implies 4=\cfrac{k}{50}\implies 200=k
\\\\\\
\boxed{t=\cfrac{200}{r}}
\\\\\\
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3 0

3 years ago

A substantial portion of inventory owned by Prentiss Sporting Goods was recently destroyed when the roof collapsed during a rain

kkurt [141]

Answer:

a) $150,225

b) $450,675

c) $152,425

d) $17,700

Step-by-step explanation:

Given:

Beginning inventory = $204,300

Purchases to date of storm = $398,800

Sales to date of storm = $600,900

The value of undamaged inventory counted = $134,725

Prentiss’s gross margin percentage = 25% of sales

a) Now,

Gross margin = Sales × Gross margin percentage

= $600,900 × 25%

= $150,225

GROSS MARGIN ( DOLLARS)= 113506

b) Cost of goods sold = Sales - Gross margin

= $600,900 - $150,225

= $450,675

c) Ending inventory

= Beginning inventory + purchase - Cost of goods sold

= $204,300 + $398,800 - $450,675

= $152,425

d) Amount of lost inventory

= Ending inventory - Undamaged inventory

= $152,425 - $134,725

= $17,700

5 0

3 years ago