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Anettt [7]
3 years ago
5

Find the equation of the slope.

Mathematics
1 answer:
shusha [124]3 years ago
5 0

Answer:

y=mx+b

Step-by-step explanation:

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In a circle, a 90° sector has area 64π ft2. Solve for the radius of the circle. A. 16 ft. B. 12 ft. C. 18 ft. D. 8 ft.
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The answer is A. Working the formula backwards you get that r^2=256, so r=16
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3 years ago
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At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T
USPshnik [31]

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 73, \sigma = 10.6

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

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

-1.645 = \frac{X - 73}{10.6}

X - 73 = -1.645*10.6

X = 55.6

The score that separates the lower 5% of the class from the rest of the class is 55.6.

3 0
3 years ago
Jose’s school has 426 students. His principal has promised the Student Council that their idea will be carried out if they can g
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Answer: Step 4

<u>Step-by-step explanation:</u>

1. Define variable x as student signatures still needed  (Correct)

2)\ \dfrac{x+82}{426}              (Correct)

3. 25% = 0.25      (Correct)

4)\ \dfrac{x+82}{426}\leq 0.25      (Error)!

The inequality symbol should be GREATER THAN or equal to (≥) because Jose needs 25% or more (not less).

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3 years ago
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a deer tick measures 29 centimeters in length in a photograph. if the photo has been enlarged by a factor of 100, what is the ac
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.29 cm in length

29 ÷ 100 = .29
3 0
3 years ago
Solve the following two equations. Show all of your
Elena L [17]

Step-by-step explanation:

Given that,

Two equations,

3x + 11 = 11 .....(1)

And

3(x - 3) = 45

or

3x-9=45 ....(2)

Subtract 11 on both sides of equation (1).

3x + 11-11 = 11-11

3x=0

x = 0

Add 9 to both sides of equation (2)

3x-9+9=45+9

3x = 54

x = 18

Hence, the solution of equation (1) is x=0 and form equation (2) x = 18.

7 0
3 years ago
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