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Angelina_Jolie [31]

3 years ago

7

Dan is building a circular swimming pool and wants the circumference to be no more than 95 feet. What is the largest radius poss

ible for the pool? Round to the nearest tenth of a foot.

1 answer:

anastassius [24]3 years ago

8 0

Answer:

Step-by-step explanation:

When C=95,

A = (100*95)/(4*3.14159) = 9500/3.14159 = 3023.94 sq. ft.

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A rectangle has an area of 1/6 square centimeters and a length of 1.5 centimeters. what is the width? what is the perimeter?

SCORPION-xisa [38]

The area of a rectangle can be calculated by the product of its length and the width. Here we are given the area and the length so we can simply calculate for width. The perimeter is the sum of all the side lengths of the shape. We calculate as follows:

Area = lxw
1/6 = 1.5w
w = 1/9

Perimeter = 2l + 2w
Perimeter = 5/9

Hope this answers the question. Have a nice day.

6 0

3 years ago

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

Mazyrski [523]

Answer:

The probability that the instrument does not fail in an 8-hour shift is $P(X=0) \approx 0.8659$

The probability of at least 1 failure in a 24-hour day is $P(X\geq 1 )\approx 0.3508$

Step-by-step explanation:

The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

$P(X)=\frac{e^{-\mu}\mu^x}{x!}$

Let X be the number of failures of a testing instrument.

We know that the mean $\mu = 0.018$ failures per hour.

(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:

For an 8-hour shift, the mean is $\mu=8\cdot 0.018=0.144$

$P(X=0)=\frac{e^{-0.144}0.144^0}{0!}\\\\P(X=0) \approx 0.8659$

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:

For a 24-hour day, the mean is $\mu=24\cdot 0.018=0.432$

$P(X\geq 1 )=1-P(X=0)\\\\P(X\geq 1 )=1-\frac{e^{-0.432}0.432^0}{0!}\\\\P(X\geq 1 )\approx 0.3508$

3 0

3 years ago

HELP ME PLEASEEEEEEEEEEE

Ber [7]

Answer:

40

Step-by-step explanation:

3 0

2 years ago

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What is the sum or product of 93+(68+7)

ser-zykov [4K]

93+(68+7)

first do what's in the parentheses
(68+7)
68+7= 75

new problem: 93+75
93+75= 168

Answer is 168

6 0

3 years ago

Read 2 more answers

Whats equvilet to 7(h-3)

Fofino [41]

Answer:

It MAY be (7h-21). I COULD be wrong tho.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers