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3 years ago

A rectangle has a perimeter of 48 feet and a length of 14 feet. what equation can you solve to find the width?

Mathematics

2 answers:

In-s [12.5K]3 years ago

8 0

14+14=28
48-28=20
20 divided by 2 =10
The width is 10

Elena-2011 [213]3 years ago

7 0

Answer:

2n+28=48

Step-by-step explanation:

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In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

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

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

<u>First</u> we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

5 0

3 years ago

Which expression is equivalent to 16^3?

Rzqust [24]

I think the answer is 2^12

because ...

16^3 is equal to 4,096

and 2^12 is also equal to 4,096

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(2x^2 -5y)/(3x-y)
((2*2)^2-(5*-4))/((3*-4)-(-4))
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Answer:

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Simora [160]

6÷2*(1+2)

=6÷2*(3)

=3 *3

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