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2 years ago

Given A = πr2S /360, solve for S.

2 answers:

6 0

$\sf a=\pi r^2s\times360\\Divide\ by\ \pi r^2\times360\\ \frac{a}{\pi r^2\times360}= \frac{\pi r^2s\times360}{\pi r^2\times360}\\ \frac{a}{\pi r^2\times360}=s\\\\{\boxed{\sf s=\frac{a}{\pi r^2\times360}}$

solmaris [256]2 years ago

5 0

S=360a/pi r^{2}

S=360a/pi r squared by 2

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The triangular bases of a triangular prism have three congruent sides, each measuring 10 centimeters. The height of each of the

Elina [12.6K]

We know that

[surface area ]=2*[area of the base]+[perimeter of the base]*height
area of the base=10*8.7/2-----> 43.5 cm²
perimeter of the base=10*3----> 30 cm
height of the prism=15 cm
[surface area ]=2*[43.5]+[30]*15------->537 cm²

the answer is
<span>the approximate surface area of the prism is 537 cm</span>²

5 0

2 years ago

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Automated manufacturing operations are quite precise but still vary, often with distributions that are close to Normal. The widt

Sedaia [141]

<span>0.977

So we have a population with the mean being 0.8750 and the standard deviations being 0.0011. So let's see how many standard deviations we need to be off by to exceed the specifications.

Low end
(0.8725 - 0.8750)/ 0.0011 = -0.0025/0.0011 = -2.272727273
High end
(0.8775 - 0.8750)/ 0.0011 = 0.0025/0.0011 = 2.272727273

So we need to be within 2.272727273 deviations of the mean. Let's use a standard normal table to look up that value, which is 0.48848, which is half the percentage. So 0.48848 * 2 = 0.97696, rounding to 3 digits gives 0.977</span>

8 0

2 years ago

Using Normal Distribution to Analyze Data Martin suspects that people carry less cash with them than they used to because of cre

jek_recluse [69]

Answer:

Step-by-step explanation:

Sample size = 95

X=cash carried by the persons

x bar = 8.00

s = sample std dev = 2.50

Std error = $\frac{s}{\sqrt{n} } =\frac{2.5}{\sqrt{95} } \\=0.2565$

Hence Z score would be

$\frac{x-8}{0.2565}$

$a) P(X$

-0.00

b) $P(9$

c) 95% conf interval margin of error = ± $1.96*0.2565$

=±0.54782

Confi interval = (8-0.5027, 8+0.5027)

= (7.4923, 8.5027)

C)If conf level increases, then width of interval would increase since critical value would increase.

If sample size increases std error would decrease and hence margin of error.

So interval would decrease.

3 0

2 years ago

On a coordinate plane, 2 trapezoids are shown. The first trapezoid has points A (negative 1, 0), B (0, 2), C (3, 2), and D (4, 0

alekssr [168]

Answer:

The answer is D

Step-by-step explanation:

I did the assignment

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2 years ago

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Estimates show that there are 1.4x10^8 pet fish and 9.4x10^6 pet reptiles in the United States. How many pet fish and reptile pe

azamat

Answer:

There are total number of pet fish and reptile pets are $1.49\times 10^8$ .

Step-by-step explanation:

Number of pet fish are $1.4\times 10^8$ and the number of pet reptiles are $9.4\times 10^6$ .

It is required to find the total number of pet fish and reptile pets in the United States. It can be done by simply adding the above numbers such that total numbers are given by :

$T=1.4\times10^{8}+9.4\times10^{6}\\\\T=149400000\\\\T=1.49\times 10^8$

So, there are total number of pet fish and reptile pets are $1.49\times 10^8$ .

8 0

2 years ago