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2 years ago

Find the perimeter and the area of a rectangle that has a length of 7 feet and a width of 4 feet?

2 answers:

6 0

Hello!

REVIEW
Perimeter is the distance around a shape. To calculate perimeter, you do: 2l + 2w

Area is calculated by multiplying the length and width together.

Perimeter

The length is 7. 2l = 2 × 7 = 14
The width is 4. 2w = 2 × 4 = 8

Add together

14 + 8 = 22

$\framebox{The perimeter is 22 feet}$

Area

The length is 7, and the width is 4.

7 × 4 = 28

$\framebox {The area is 28 feet}$

lbvjy [14]2 years ago

4 0

Formula for P: P = 2W + 2L
Formula for A: A = WL

Here, P = 2(4 ft) + 2(7 ft) = (8+14) ft = 22 ft
and A = (4 ft)(7 ft) = 28 ft^2

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It’s 4 have a good day

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3 years ago

A business owner noted the features of the 100 cars parked at the business. Here are the results:

AlexFokin [52]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability is $P(4 \ doors | sunroof ) = 0.40$

Step-by-step explanation:

From the question we are told that

The number of cars packed is $n = 100$

The objective of this solution is to find the probability that the car which has a sunroof also has four doors

This probability is mathematically represented as

$P(4 \ doors | sunroof )$

Baye's Rule define this probability mathematically as

$P(4 \ doors | sunroof ) = \frac{P(4 \ doors \ n \ sunroof )}{P(sunroof)}$

From the diagram

$P(4 \ doors \ n \ sunroof ) = 20$

and $P(sunroof) = 50$

$P(4 \ doors | sunroof ) = \frac{20}{50}$

$P(4 \ doors | sunroof ) = 0.40$

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3 years ago

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ipn [44]

Answer:

$ 14.25 this is probably the answer

8 0

2 years ago

Read 2 more answers

A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? E

Triss [41]

Answer:

The volume of cylinder is:

49806.06 ft^3

Step-by-step explanation:

We are given a right circular cylinder with:

Height(h)= $22\frac{1}{4}ft=\dfrac{89}{4}ft$

and a diameter is $2\frac{2}{5}$ times it's height.

i.e. $\dfrac{12}{5}$ times it height.

i.e. the diameter is given as:

$\dfrac{12}{5}\times \dfrac{89}{4}=\dfrac{267}{5}ft.$

We know that the radius of cylinder is half the diameter.

Hence, radius(r) of cylinder is:

$\dfrac{1}{2}\times \dfrac{267}{5}\\\\=\dfrac{267}{10}$

The volume(V) of cylinder is given by:

$V=\pi r^2h$

$V=3.14\times (\dfrac{267}{10})^2\times \dfrac{89}{4}\\\\V=\dfrac{19922423.94}{400}\\\\V=49806.06ft^3$

Hence, the volume of cylinder is:

49806.06 ft^3

7 0

3 years ago

Crash Hospital Costs. A study was conducts to estimate hospital costs for accident victims who wore seat belts. Twenty randomly

kvv77 [185]

Answer:

a) The 99% confidence interval would be given by (5004.168;12603.832)

b) For this case we can use the lower bound for the confidence interval as estimation, on this case 5004.168. But we need to take in count that this value it's with 99% of confidence and 1% of significance and 1% of probability to commit type Error I

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =9004$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=5629 represent the sample standard deviation

n=20 represent the sample size

2) Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=20-1=19$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,19)".And we see that $t_{\alpha/2}=2.86$

Now we have everything in order to replace into formula (1):

$9004-2.86\frac{5629}{\sqrt{20}}=5004.168$

$9004+2.86\frac{5629}{\sqrt{20}}=12603.832$

So on this case the 99% confidence interval would be given by (5004.168;12603.832)

3) Part b

For this case we can use the lower bound for the confidence interval as estimation, on this case 5004.168. But we need to take in count that this value it's with 99% of confidence and 1% of significance and 1% of probability to commit type Error I

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2 years ago