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PtichkaEL [24]
2 years ago
9

Find the approximate value of a. 4.69 in. 5.09 in. 11.05 in. 12 in 30.71 in.

Mathematics
1 answer:
Kamila [148]2 years ago
4 0

Answer:

4.69 inches

Step-by-step explanation:

sin = opposite/hypotenuse

sin 23 = a/12

To solve for a, multiply both side by 12, so a is by itself.

12 · sin23 = a/12 · 12

12 · sin23 = a

use your calculator to find the sin of 23, which is approximately 0.390731128

Multiply by 12

0.390731128 * 12 = 4.688

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Rus_ich [418]
Option A is the answer
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The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10
steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, \mu = 70, \sigma = 3.

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

Z = \frac{X - \mu}{\sigma}

Z = \frac{67 - 70}{3}

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

Z = \frac{X - \mu}{\sigma}

Z = \frac{45 - 70}{3}

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0
2 years ago
The product of two irrational numbers is. Rational
Snowcat [4.5K]

Answer:

So the statement:

"The product of two irrational numbers is rational." is false.

Step-by-step explanation:

The product of two irrationals can be irrational or rational.

Example:

\sqrt{2} \cdot \sqrt{2}=2

\sqrt{2} is irrational but when you multiply it to itself the output is rational.

Example:

\sqrt{2} \cdot \sqrt{3}=\sqrt{6}

\sqrt{2} \text{ and } \sqrt{3} are irrational and when you multiply them you get an irrational answer of \sqrt{6}.

So the statement:

"The product of two irrational numbers is rational." is false.

5 0
3 years ago
Tina placed a 15 meter rope along one side of the bicycle path. She hung a ribbon on each end of the rope and every 3 meters in-
dusya [7]
Hello!

She placed 6 ribbons

2 at the ends and 5 every 3 meters
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3 years ago
SERIOUS MATH HELP PLEAZE<br> SHOW WORK OR AN EXPLANATION<br> HELPPPPPPPPPPPP
Tatiana [17]

Answer:

(X+8)(x-10

Step-by-step explanation:

The middle number is -2 and the last number is -80.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -2

Multiply together to get -80Try 8 and -10:

8+-10 = -2

8*-10 = -80

Fill in the blanks in

(x+_)(x+_)

with 8 and -10 to get...

(x+8)(x-10)

3 0
3 years ago
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