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emmainna [20.7K]
3 years ago
14

a right rectangular prism has a length of 2 1/2 feet a width of 3 feet and a height of 1 1/2 ft unit cubes with side lengths of

1/2 foot are added to completely fill the prison with no space remaining what is the volume in cubic feet or the right rectangular prism
Mathematics
1 answer:
Annette [7]3 years ago
7 0
Given the original dimensions of:
2 1/2 ft, 3 ft and 1 1/2
After addition of 1/2 ft on both sides, the new dimensions will be:
3 1/2 ft, 4 ft, and 2 1/2 ft
thus the volume of the the prism will be:
Volume=length*width*height
V=3 1/2×4×2 1/2
V=35 ft³

Answer: 35 ft³
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Put the following fractions in order from greatest to least:
kifflom [539]
C,B,D,A

8/4= 2
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5 0
2 years ago
Let X denote the length of human pregnancies from conception to birth, where X has a normal distribution with mean of 264 days a
Kaylis [27]

Answer:

Step-by-step explanation:

Hello!

X: length of human pregnancies from conception to birth.

X~N(μ;σ²)

μ= 264 day

σ= 16 day

If the variable of interest has a normal distribution, it's the sample mean, that it is also a variable on its own, has a normal distribution with parameters:

X[bar] ~N(μ;σ²/n)

When calculating a probability of a value of "X" happening it corresponds to use the standard normal: Z= (X[bar]-μ)/σ

When calculating the probability of the sample mean taking a given value, the variance is divided by the sample size. The standard normal distribution to use is Z= (X[bar]-μ)/(σ/√n)

a. You need to calculate the probability that the sample mean will be less than 260 for a random sample of 15 women.

P(X[bar]<260)= P(Z<(260-264)/(16/√15))= P(Z<-0.97)= 0.16602

b. P(X[bar]>b)= 0.05

You need to find the value of X[bar] that has above it 5% of the distribution and 95% below.

P(X[bar]≤b)= 0.95

P(Z≤(b-μ)/(σ/√n))= 0.95

The value of Z that accumulates 0.95 of probability is Z= 1.648

Now we reverse the standardization to reach the value of pregnancy length:

1.648= (b-264)/(16/√15)

1.648*(16/√15)= b-264

b= [1.648*(16/√15)]+264

b= 270.81 days

c. Now the sample taken is of 7 women and you need to calculate the probability of the sample mean of the length of pregnancy lies between 1800 and 1900 days.

Symbolically:

P(1800≤X[bar]≤1900) = P(X[bar]≤1900) - P(X[bar]≤1800)

P(Z≤(1900-264)/(16/√7)) - P(Z≤(1800-264)/(16/√7))

P(Z≤270.53) - P(Z≤253.99)= 1 - 1 = 0

d. P(X[bar]>270)= 0.1151

P(Z>(270-264)/(16/√n))= 0.1151

P(Z≤(270-264)/(16/√n))= 1 - 0.1151

P(Z≤6/(16/√n))= 0.8849

With the information of the cumulated probability you can reach the value of Z and clear the sample size needed:

P(Z≤1.200)= 0.8849

Z= \frac{X[bar]-Mu}{Sigma/\sqrt{n} }

Z*(Sigma/\sqrt{n} )= (X[bar]-Mu)

(Sigma/\sqrt{n} )= \frac{(X[bar]-Mu)}{Z}

Sigma= \frac{(X[bar]-Mu)}{Z}*\sqrt{n}

Sigma*(\frac{Z}{(X[bar]-Mu)})= \sqrt{n}

n = (Sigma*(\frac{Z}{(X[bar]-Mu)}))^2

n = (16*(\frac{1.2}{(270-264)}))^2

n= 10.24 ≅ 11 pregnant women.

I hope it helps!

6 0
2 years ago
So…I have been making 0’s on my math homework…cause I don’t understand it.
timurjin [86]

Well try working on the problem first

3 0
3 years ago
The following proof has an error. Find the error and choose the correct replacement.
Dvinal [7]

Answer:

opposite sides of a parallel are congruent.

Step-by-step explanation:

the symbol between AB and DC stands for "equal to", not parallel. boom roasted. (don't hate me if I'm wrong)

8 0
3 years ago
A pair of shoes cost $22.99 to make, the local store sells them for $36.99. What is the percent markup? (Round to the nearest hu
ASHA 777 [7]

C: 60.9% is the right answer

Step-by-step explanation:

The markup is calculated by using the formula

Mark\ up=Selling\ price-make\ price

Given

Make Price = $22.99

Selling Price = $36.99

So the mark up will be:

Mark\ up=36.99-22.99\\=\$14

Percent mark up will be:

Mark\ up=\frac{Mark\ up}{Make\ price}*100\\=\frac{14}{22.99}*100\\=0.6089*100\\=60.89\%

Rounding off to the nearest hundredth percent

60.9%

Hence,

C: 60.9% is the right answer

Keywords: Markup, Percentage

Learn more about percentage at:

  • brainly.com/question/10435836
  • brainly.com/question/10541435

#LearnwithBrainly

5 0
3 years ago
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