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3 years ago

9

A high school athletic department bought 40 soccer uniforms at a cost of $3000. After soccer season they returned some of the un

iforms but only received $40 per uniform. What was the difference between what they paid for each uniform and what they got for each return?

1 answer:

ludmilkaskok [199]3 years ago

6 0

They got $35 less than what they paid for in the beginning

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Find the surface area of a water tower that is 40 feet tall and has a diameter of 20 feet.

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Answer:

The surface area is 3140 feet².

What is Surface Area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given that:

Diameter = 20 feet

radius = 20 ÷ 2 = 10 feet

Now, Surface area will be,

=2πr²+ 2πrh

= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40

= 6.28 × 100 + 6.28 × 400

= 628 + 25.12 × 100

= 628+ 2512

= 3140 feet²

hence, the surface area is 3140 feet².

Step-by-step explanation:

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abby and her 5 friends went to a restaurant to buy sodas. if they bought 2 of each size soda which expression should be used to

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If they EACH bough 2 of EACH size soda, then it would be.

S: # of different sized sodas
P: Price of soda

5×2(S×P)

but if each sized sodas cost a different amount it would be

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S2: Price of second size
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and so on.

5×2(S+S2+S3...)

but if they all together bought 2 of EACH size soda, then it is.

2(S×P)

but if each sized sodas cost a different amount it would be

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A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below t

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Answer:

The minimum score required for an A grade is 88.

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:

$\mu = 77.8, \sigma = 8.5$

Find the minimum score required for an A grade.

Top 12%, which is at least the 100-12 = 88th percentile, which is the value of X when Z has a pvalue of 0.88. So it is X when Z = 1.175.

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

$1.175 = \frac{X - 77.8}{8.5}$

$X - 77.8 = 1.175*8.5$

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Rounding to the nearest whole number

The minimum score required for an A grade is 88.

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Answer:

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