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3 years ago

1. Find the surface area for the given prism. (11 8 in. 10 in. 14 in,

Mathematics

1 answer:

DedPeter [7]3 years ago

5 0

Answer:

SA = 664 square inches

Step-by-step explanation:

Surface area is the area of all the sides added together. A prism has six sides.

Take the dimensions and change them so each of the numbers are multiplied with the others.

14 * 10 * 8

14 * 10 = 140

14 * 8 = 112

10 * 8 = 80

Multiply each answer by 2 because there are two sides that have the same dimensions.

14 * 10 = 140 * 2 = 280

14 * 8 = 112 * 2 = 224

10 * 8 = 80 * 2 = 160

Add the areas together.

280 + 224 + 160 = 664

SA = 664 square inches

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The table gives the probability distribution of the number of dvds sold per day at a music store. what is the probability of 5 o

nikklg [1K]

Let x represents the number of dvds sold per day:
To complete the probability distribution table, you need to add all the probabilities given and deduct that to 1 so that you can get the probability of 5-9, applying what I have said:Probability of 5-9:= 1 - (0.1875+0.4375+0.1250) = 1 – 0.75= 0.2500
But the question is not asking for the probability of 5-9, but 5 or more. So deduct the .1875 to 1 since .1875 only represents 0-4.P(X>= 5) = 1 - 0.1875 = 0.8125

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4 years ago

Final numeric grades in a certain course are normally distributed with a mean of 72.3 and a standard deviation of 6.4. The profe

Dimas [21]

Answer:

The minumum numeric grade you have to earn to obtain an A is 81.29.

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:

$\mu = 72.3, \sigma = 6.4$

The professor curves the grades so that the top 8% of students will receive an A. What is the minumum numeric grade you have to earn to obtain an A?

The minimum numeric value is the value of X when Z has a pvalue of 1-0.08 = 0.92. So it is X when Z = 1.405.

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

$1.405 = \frac{X - 72.3}{6.4}$

$X - 72.3 = 1.405*6.4$

$X = 81.29$

The minumum numeric grade you have to earn to obtain an A is 81.29.

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3 years ago

Which equation represents "eight times a number and five is sixty-nine?"

Fiesta28 [93]

Answer:

8n + 5 = 69

And that number is 8, because 8•8+5=69

Step-by-step explanation:

"eight times a number and five is sixty-nine" in this statement the words "a number" is the number we dont know and so we use a variable for it. I put n, but you could have used x or a or any variable. The "and five" indicates adding. The "is" indicates equals.

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3 years ago

What is the volume of the cone

Darina [25.2K]

Answer: C. 2,787.64 yd.³

Step-by-step explanation:

Diameter = 22 Yards

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Height = 22 Yards

V = 1/3Bh

V = 1/3π(11 yd)²×(22yd)

V = 1/3π(121 yd)×(22yd)

V = 1/1π(121 yd)×(7.33yd)

V = 886.93π yd.³

V ≈ 2,787.64 yd³

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3 years ago

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BlackZzzverrR [31]

Answer:

-7x² + 2x - 1 = 0

x = - (1 - 2√2)/7

x = - (1 + 2√2)/7

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4 years ago