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3 years ago

What is the surface area of the cylinder with height 5 in and radius 3 in? Round

Mathematics

1 answer:

zheka24 [161]3 years ago

3 0

Answer:

The answer to your question is SA = 150.72 in²

Step-by-step explanation:

Data

Surface area = ?

height = 5 in

radius = 3 in

pi = 3.14

Formula

SA = 2πr² + 2πrh

Process

1.- Calculate the area of the bases

-Substitution

Area = 2(3.14)(3)²

-Simplification

Area = 2(3.14)(9)

-Result

Area = 56.52 in²

2.- Calculate the lateral area

-Substitution

Area 2 = 2(3.14)(3)(5)

-Result

Area 2 = 94.2 in²

3.- Calculate the total area

SA = 56.52 + 94.2

SA = 150.72 in²

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A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found tha

egoroff_w [7]

Answer:

Between 21 years and 75 years

Step-by-step explanation:

Given that a real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 48 years old, with a standard deviation of 9 years.

X the ages of home buyers is N(48, 9)

a) $30\leq x\leq 66\\|x-48|\leq 18\\|x-48|\leq 2\sigma$

Hence using Cheby chev inequality

$P(|x-48|\leq 2\sigma)\geq 1-\frac{1}{2^2} \\=0.75$

b) $25.5\leq x\leq 70.5\\|x-48|\leq 22.5\\|x-48|\leq 1.5\sigma$

$P(|x-48|\leq 1.5\sigma)\geq 1-\frac{1}{1.5^2} \\=0.556$

c) Using normal distribution we have

$P(|x-48|\leq 2\sigma)=0.95$

d) z value is 2.97

Hence x lies between

$(48-9*2.97, 49+9*2.97)\\=(21.27,74.73)$

Between 21 years and 75 years

4 0

3 years ago

I need help!!!!!!!!!!

Andru [333]

Answer:

Yes

Step-by-step explanation:

The points will be on the same line if they have the same slope. Calculate the slope of each pair. If the slopes are the same, then they lie on the same line.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{3-2}{1-4} = \frac{1}{-3} = -\frac{1}{3}$