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Katarina [22]
2 years ago
15

Solve this equation by completing the square p^2 + 16p - 17 = 0

Mathematics
1 answer:
LenaWriter [7]2 years ago
6 0

Answer: p=1

Step-by-step explanation:

p^{2}+16p-17=0\\p^{2}+16p=17\\1^{2}+16(1)=17\\1+16=17\\p=1

(p-1)(p+16)

Also, here's the cross method in completing the square that I tried in the file attachment. I haven't done this in a while, so this may not be neat.

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Mr. Lee gave his four children $25.40 to share equally. How much money did each child get?
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Island Rent-a-Car charges a car rental fee of $40 plus $5 per hour. Wayne's Wheels charges a car rental fee of $25 plus $7.50 pe
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3 years ago
A radius is an angle that connects any point on the circle to the center of that circle.
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4 years ago
A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam
Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use 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, we have that:

\mu = 65, \sigma = 8.2

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

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

-1.96 = \frac{X - 65}{8.2}

X - 65 = -1.96*8.2

X = 48.93

The score that cuts off the bottom 2.5% is 48.93.

8 0
3 years ago
Read 2 more answers
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