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qaws [65]
2 years ago
7

What is the best approximation for the measure of angle ABC?

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
3 0
Cos(x) = 10.5 / 20
cos(x) = 0.525

answer
C.
x = 58.3" 
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The average daily jail population in the United States is 706,242. If the distribution is normal and the standard deviation is 5
Karolina [17]

a. The probability that on a randomly selected day, the jail population

is greater than 750,000 is 20.1%

b. The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Step-by-step explanation:

The given is:

1. The average daily jail population in the United States is 706,242

2. The distribution is normal and the standard deviation is 52,145

3. We need to find the probability that on a randomly selected day,

    the jail population is greater than 750,000

4. We need to find the probability that on a randomly selected day,

    the jail population is between 600,000 and 700,000

a.

At first find z-score

∵ z = (x - μ)/σ, where x is the score, μ is the mean and σ is the standard

   deviation

∵  x = 750,000 , μ = 706,242 and σ = 52,145

∴ z = \frac{750,000-706,242}{52,145} ≅ 0.84

Use the normal distribution table of z to find the area to the right of

the z-value

∵ The corresponding area to z-score of 0.84 is 0.79955

- But we are interested in x > 750,000, we need the area to the

  right of z-score

∴ P(x > 750,000) = 1 - 0.79955 = 0.2005

∴ P(x > 750,000) = 0.2005 × 100% = 20.1%

The probability that on a randomly selected day, the jail population is

greater than 750,000 is 20.1%

b.

We will find z-score for 600,000 < x < 700,000

∵ z = \frac{600,000-706,242}{52,145} ≅ -2.04

∵ z = \frac{700,000-706,242}{52,145} ≅ -0.12

Use the normal distribution table of z to find the area between

the two z-values

∵ The corresponding area to z-score of -2.04 is 0.02068

∵ The corresponding area to z-score of -0.12 is 0.45224

- To find P(600,000 < x < 700,000) subtract the two values above

∴ P(600,000 < x < 700,000) = 0.45224 - 0.02068 = 0.4316

∴ P(600,000 < x < 700,000) = 0.4316 × 100% = 43.2%

The probability that on a randomly selected day, the jail population is

between 600,000 and 700,000 is 43.2%

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

5 0
3 years ago
NEED CORRECT ANSWER NOW HELPPP!!!
mr Goodwill [35]

Answer:

I believe the answer is D


8 0
3 years ago
Read 2 more answers
A school found that the number of students buying lunch from the cafeteria had declined. The school wants to revise its current
11111nata11111 [884]

all the suggested meals will be shuffled into one stack and every 10th suggestion will be used

7 0
2 years ago
In triangle ABC, a = 9, c = 5, and B = 120°. Find b2.
anygoal [31]

Answer:

(D) b^2=151

Step-by-step explanation:

Given: In triangle ABC, a=9, c=5 and ∠B=120°.

To find: The value of b^2.

solution: It is given that In triangle ABC, a=9, c=5 and ∠B=120°.

Now, using the law of cosines, we get

b^2=a^2+c^2-2(a)(c)cosB

Substituting the given values, we get

b^2=9^2+5^2-2(9)(5)cosB

b^2=81+25-90(\frac{-1}{2})

b^2=81+25+45

b^2=151

which is the required value of b^2.

Therefore, option D is correct.

3 0
2 years ago
Find.................
natka813 [3]
Its -7

use https://www.symbolab.com/solver/algebra-calculator
3 0
3 years ago
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