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Sever21 [200]
3 years ago
13

A musical group sells t-shirts at their concert. After one concert they sold 120 out of 200 white t-shirts and 240 out of 300 bl

ue t-shirts. A greater percentage of which color t-shirts were sold? Fill in the blanks to answer the question. Solve to find the percentage of each color of t-shirts sold, then fill in the blanks.
Mathematics
1 answer:
Fed [463]3 years ago
7 0

Answer:

A greater percentage of blue T-shirts were sold.

see the explanation

Step-by-step explanation:

we know that

To find out the percentage sold, divide the number of shirts sold by the total number of shirts and multiply by 100

so

<em>White t-shirts</em>

total shirts 200

shirts sold 120

\frac{120}{200}(100)=60\%

<em>Blue t-shirts</em>

total shirts 300

shirts sold 240

\frac{240}{300}(100)=80\%

Compare

80\% > 60\%

therefore

A greater percentage of blue T-shirts were sold.

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Here, we are required to determine how many hours your friend will drive in order to catch you.

(a)<em> Your friend will have to drive 7 and a half hours inorder to catch </em><em>you.</em>

<em>(</em><em>b)</em><em> </em><em>You </em><em>both </em><em>will </em><em>be </em><em>6</em><em>7</em><em>5</em><em> </em><em>miles</em> <em>away </em><em>from </em><em>Ellensburg</em><em> </em><em>at </em><em>that </em><em>time.</em>

If you leave at 1 pm; At 2:30pm;

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Therefore, your position; S after 2:30pm is given by;

S(a) = 75t + 112.5 miles from Ellensburg.

For your friend; travelling at 90miles/hr;

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(a) For your friend to catch you, you both must be in the same position;

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(b) To determine how far you both are from Ellensburg; we can either evaluate:

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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:

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(a) Between 5 and 10 minutes

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 5. So

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1 subtracted by the pvalue of Z when X = 9.

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

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