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Akimi4 [234]
3 years ago
13

The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse.

Mathematics
2 answers:
Karolina [17]3 years ago
8 0

Using the Pythagorean theorem:

Hypotenuse = sqrt( 20^2 + 15^2)

Hypotenuse = sqrt( 400 + 225)

Hypotenuse = sqrt(625)

Hypotenuse = 25

Answer: 25 inches

Ira Lisetskai [31]3 years ago
4 0

Answer:

25 inches

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

20^2 + 15^2 = c^2

400 +225 = c^2

625=c^2

Taking the square root of each side

sqrt(625) = sqrt(c^2)

25 = c

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lys-0071 [83]

Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:

\mu = 3, \sigma = 0.87

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that the parameters are given as follows:

n = 4, p = 0.75.

Hence the mean and the standard deviation are given as follows:

  • E(X) = np = 4 x 0.75 = 3.
  • \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{4 \times 0.75 \times 0.25} = 0.87

More can be learned about the binomial distribution at brainly.com/question/24863377

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7 0
2 years ago
Round to the nearest ten thousandths 15.76548908 *​
Gemiola [76]
Answer: 15.7659

Explanation: the column the 4 is in is the ten thousandths column. Since the number after it is 8, which is bigger than 5, you round up to make is 15.7659
6 0
2 years ago
What is the value of x, if the area of ΔABC is 12√3 square cm.
lana [24]

Answer:

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Step-by-step explanation:

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3 years ago
Brandon buys a radio for 43.99 in a state where sales tax is 7%.What is the total brandon pays for the radio
guajiro [1.7K]

Answer: $47.06 if you do not round or $47.07 if you are required to round up.


Step-by-step explanation:

$43.99× .07 = 3.0793

$43.99+ $3.07 = $47.06

(If you round up then follow below)


$43.99× .07= 3.0793 (the 9 would cause you to round the 7 up to 8)

$43.99+ $3.08= $47.07


4 0
4 years ago
Answer as soon as possible, please and thank you. All help is truly appreciated because we are one step closer to the answer. Be
SpyIntel [72]

Answer: 100

Step-by-step explanation:

4b squared where b= 5

Slot in 5 for b; 5 squared = 5x5= 25

4 (25)

=100

7 0
3 years ago
Read 2 more answers
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