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katovenus [111]
2 years ago
11

Andre has $39 and owes Billy $72 for gas and groceries. How much money does Andre have?

Mathematics
1 answer:
siniylev [52]2 years ago
5 0

Answer:

$-33

Step-by-step explanation:

Andre still owes Billy money. If Andre paid Billy the 39 dollars he has, he would still owe Billy $33, which puts him $33 in the hole.

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Which could be the graph of f(x) = |x -h| + k if h and k are both positive?
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Step-by-step explanation:

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.

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denpristay [2]

Answer:

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Step-by-step explanation:

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2 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

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

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