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andrey2020 [161]
2 years ago
14

Chris spent half of his money on a pair of headphones. Then he spends half of his remaining money of recordable CDs. Finally, he

spent his remaining $12.75 on a book. How much money did Chris have to begin with?
Mathematics
2 answers:
otez555 [7]2 years ago
4 0
I think the answer would be $50.50
kompoz [17]2 years ago
4 0
Assume that Chris began with m dollars in his pocket.

Half of that, or m/2, went to purchase a pair of headphones.

Half of that, or (1/2)(m/2), or m/4, went to purchasing CDs.  By now Chris has spent (1/2 + 1/4) of his money:  (3/4)m.  He had (1/4)m left, and that (m/4) = $12.75.

Solve this for m:
         $12.75
m = ------------ = $5 (answer).    
            (1/4)
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Substitute 8 for x in the function.
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1 year ago
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Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviat
MaRussiya [10]

Answer:

z = 10

Step-by-step explanation:

The value of the z-statistic is given by:

z = \frac{X - \mu}{s}

In which:

X is the measured value.

\mu is the expected value.

s = \frac{\sigma}{\sqrt{n}} is the standard deviation of the sample. \sigma is the standard deviation of the population.

In this question:

The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.

This means that \mu = 2.9, \sigma = 0.1

Random sample of 100 screws.

This means that n = 100.

To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

3 inches, so X = 3

s = \frac{0.1}{\sqrt{100}} = 0.01

z = \frac{X - \mu}{s}

z = \frac{3 - 2.9}{0.01}

z = 10

8 0
1 year ago
Simplify x + 2/ x^2 - 6x - 16 divided by 1/9x
djverab [1.8K]
Hello there!

Simplify the expression
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7 0
1 year ago
The time it takes to deliver a pizza (from time of phone call to delivery at door) follows a normal distribution with a mean (µ)
Yuki888 [10]

Answer:

99.87% of the store’s total delivery orders will be delivered to consumers with charge

Step-by-step explanation:

Problems of normally distributed samples are 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 problem, we have that:

\mu = 45, \sigma = 5

If a pizza store’s policy is, "Orders delivered within one hour or they’re free!", what percentage of the store’s total delivery orders will be delivered to consumers with charge?

Within one hour, which is 60 minutes. So this is the pvalue of Z when X = 60.

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

Z = \frac{60 - 45}{5}

Z = 3

Z = 3 has a pvalue of 0.9987

99.87% of the store’s total delivery orders will be delivered to consumers with charge

5 0
1 year ago
Cory predicts it will take him 64 minutes to travel to Baltimore from Washington D.C. If the trip actually took 74 minutes, what
n200080 [17]

Answer:13.5



Step-by-step explanation:

the answer is 13.5


6 0
1 year ago
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