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2 years ago

The endpoints of a circle's diameter are (5, -4) and (5, 4). What is the area of the circle in terms of pi?

Mathematics

1 answer:

masha68 [24]2 years ago

5 0

Answer:

Step-by-step explanation:

d and r are the diameter and radius, respectively.

d = 8 units

r = 8/2 = 4 units

area = πr² = 16π square units.

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Find the area of the shaded region. Round your answer to the nearest tenth.

spayn [35]

You need to include the Image

3 0

3 years ago

Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0

2 years ago

Applying properties of Exponents in exercise,use the properties of exponents to simplify the expression.See example 1.

evablogger [386]

Answer: a) 15625, b) 0.2, c) 625, d) 0.008.

Step-by-step explanation:

Since we have given that

a) $(5^2)(5^3)$

As we know that

$a^m\times a^n=a^{m+n}$

So, it becomes,

$5^2\times 5^3=5^{2+3}=5^6=15625$

(b) $(5^2)(5^{-3})$

So, it becomes,

$5^2\times 5^{-3}=5^{2-3}=5^{-1}=\dfrac{1}{5}=0.2$

As we know that

$(a^m)^n=a^{mn}$

So, it becomes,

$5^{2\times 2}=5^4=625$

(d) $5^{-3}$

$a^{-m}=\dfrac{1}{a^m}\\\\5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}=0.008$

Hence, a) 15625, b) 0.2, c) 625, d) 0.008.

4 0

3 years ago

Water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. Which would not be a proportion you could use to solv

enot [183]

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let me help out.

First, we need to convert 2 2/3 hours to minutes. This would be:

= 2 2/3 × 60 minutes

= 8/3 × 60 minutes

= 160 minutes

Since water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. The the gallons of water going over the waterfall in 2 2/3 hours would be:

= (162 1/2 × 2 2/3hours) / 15 minutes

= (162 1/2 × 160) / 15

= 1733 1/3 gallon

8 0

2 years ago

Read 2 more answers

PLEASE HELP ME!!!!!!

Sauron [17]

Answer:

50.24

Step-by-step explanation:

pi times r^2

7 0

3 years ago