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Phantasy [73]
3 years ago
14

You make a time capsule with your friends. Find the surface area of the shape pictured. Use 3.14 to approximate pi.

Mathematics
1 answer:
Orlov [11]3 years ago
6 0

Answer: 1,475.8mm^{2}

Step-by-step explanation:

1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:

SA_s=4r^{2}(3.14)

Where r is the radius (r=\frac{10mm}{2}=5mm)

2. Then:

SA_s=4(5mm)^{2}(3.14)=314mm^{2}

3. The formula for calculate the suface area of the red part, which is a cylinder, is:

SA_c=2(3.14)(r)(h)

Where h is the height (h=32mm)

4. Then:

SA_c=2(3.14)(5mm)(32mm)=1,004.8mm^{2}

5. So, the total surface area is:

SA_t=314mm^{2}+1,004.8mm^{2}=1,318.8mm^{2}

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Which of the following expressions represents the statement below?
exis [7]

Option D. 2(n + 9) is the right answer

Step-by-step explanation:

The word problems are converted into mathematical problems to solve simply.

for the given problem

"two times the sum of a number and 9"

Let n be a number then

when there is and between two things they are performed first then next operation is performed so

the sum of a number and 9

n+9

Then

two times the sum of a number and 9

2(n+9)

Hence,

Option D. 2(n + 9) is the right answer

Keywords: Mathematical notation

Learn more about mathematical notation at:

  • brainly.com/question/10364988
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#LearnwithBrainly

5 0
3 years ago
I ONLY need help with the tables ONLY! I’LL GIVE BRAINLIEST FOR THE RIGHT ANSWER?! I please include what you did for both tables
neonofarm [45]

Answer:

The first table.

Step-by-step explanation:

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7 0
3 years ago
The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 . a.
Anastasy [175]

Answer:

a) 0.073044

b) 0.75033

c) The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 .

a. Find the probability that an individual distance is greater than 218.00 cm.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 218

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

For x > 218

z = 218 - 205.5/8.6

z = 1.45349

Probability value from Z-Table:

P(x<218) = 0.92696

P(x>218) = 1 - P(x<218) = 0.073044

b. Find the probability that the mean for 15 randomly selected distances is greater than 204.00

When = random number of samples is given, we solve using this z score formula

z = (x-μ)/σ/√n

where

x is the raw score = 204

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

n = 15

For x > 204

Hence

z = 204 - 205.5/8.6/√15

z = -0.67552

Probability value from Z-Table:

P(x<204) = 0.24967

P(x>204) = 1 - P(x<204) = 0.75033

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

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Together it would be 20 min.
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ella [17]

Answer:

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