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mariarad [96]
3 years ago
13

What is the surface area of the prism formed by this net? Explain.

Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

320in²

Step-by-step explanation:

Labelled diagram shown above.

Surface area : base × height

The surface area of most of the sides will be the same because the sides are the same.

Top/bottom = 5 × 8 = 40 + 40 = 80in²

Side/Side = 5 × 10 = 50 + 50 = 100in²

Front/Back = 8 × 10 = 80 + 80 = 160in²

Add them all together.

160 + 100 + 80 = 340in²

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telo118 [61]

It takes 40 minutes more going up or 40/60 = 0.67 hours more.

Let us say that:

t = the time required for him running down

t + 0.67 = time required for him running up

 

Since the distance of running up and down must be equal therefore:

(3 miles / hr) * (t + 0.67) = (5 miles / h) * t

3 t + 2.01 = 5 t

2 t = 2.01

t = 1.005 hr

 

So the total length of the hike is:

length = 2 * (5 miles / hr) * (1.005 hr)

<span>length = 10.05 miles</span>

3 0
3 years ago
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Solve the linear inequality below.
quester [9]

Answer:

x > 3

Step-by-step explanation:

6 0
2 years ago
A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator.
GenaCL600 [577]

Answer:

1. The probability that x will be more than 25 is 0.6305.

2. The 55th percentile is 26.38.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean 26 and standard deviation 3.

This means that \mu = 26, \sigma = 3

1 Find the probability that x will be more than 25.

This is 1 subtracted by the p-value of Z when X = 25. So

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

Z = \frac{25 - 26}{3}

Z = -0.333

Z = -0.333 has a p-value of 0.3695.

1 - 0.3695 = 0.6305.

The probability that x will be more than 25 is 0.6305.

2 Find the 55th percentile of x.

This is X when Z has a p-value of 0.55, so X when Z = 0.125.

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

0.125 = \frac{X - 26}{3}

X - 26 = 0.125*3

Z = 26.38

The 55th percentile is 26.38.

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3 years ago
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You are buying a party pack of chips for $14.50 with a 3% tax. How much do you pay in total?
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Answer:

Step-by-step explanation:

The answer is .50

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2 years ago
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