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Arturiano [62]
3 years ago
15

Calculate the area of this triangle. 17 cm 8 cm 15 cm- Area - Triangles Overview

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0

Answer:

There are 3 possible answers because you didn't state which value was base or height.

Going off the assumption that the base is 15 cm and the height is 8 cm, the area is 60 cm. (same answer if base is 8 cm and height is 15 cm)

A = 1/2(b*h)

A = 1/2(15*8)

A = 1/2(120)

A = 60

Going off the assumption that the base is 17 cm and the height is 8 cm, the area is 68 cm. (same answer if base is 8 cm and height is 17 cm)

A = 1/2(b*h)

A = 1/2(17*8)

A = 1/2(136)

A = 68

Going off the assumption that the base is 15 cm and the height is 17 cm, the area is 127.5 cm. (same answer if base is 17 cm and the height is 15 cm)

A = 1/2(b*h)

A = 1/2(15*17)

A = 1/2(255)

A = 127.5

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6 0
3 years ago
1. The SAT test scores have an average value of 1200 with a standard deviation of 105. A random sample of 35 scores is selected
AveGali [126]

Answer:

a) The shape is bell shaped, because of the single peak at the center, that is the mean.

The mean of the sampling distribution of the sample mean is 1200.

The standard deviation of the sampling distribution of the sample mean for samples of size 35 is 17.75.

b) There is a 2.07% probability that the sample mean will be larger than 1235.

c) 85.68% probability that the sample mean will fall within 25 points of the population mean.

d) There is a 7.22% probability that the sample mean will be less than 1175.

Step-by-step explanation:

Problems of normally distributed samples can be 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}

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 This p-value is the probability that the value of the measure is greater than X.

In this case, we have that:

The SAT test scores have an average value of 1200 with a standard deviation of 105. A random sample of 35 scores is selected for study. So \mu = 1200, \sigma = 105, n = 35.

A) What is the shape, mean(expected value) and standard deviation of the sampling distribution of the sample mean for samples of size 35?

The shape is bell shaped, because of the single peak at the center, that is the mean.

The mean of the sampling distribution of the sample mean is the same as the sample mean. So, the mean of the sampling distribution of the sample mean is 1200.

The standard deviation of the sampling distribution of the sample mean for samples of size 35 is the sample standard deviation divided by the square root of the size of the sampling distribution.

s = \frac{105}{sqrt{35}} = 17.75

The standard deviation of the sampling distribution of the sample mean for samples of size 35 is 17.75.

B) What is the probability that the sample mean will be larger than 1235?

This is 1 subtracted by the pvalue of Z when X = 1235.

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

Z = \frac{1235 - 1200}{17.15}

Z = 2.04

Z = 2.04 has a pvalue of 0.9793

So there is a 1-0.9793 = 0.0207 = 2.07% probability that the sample mean will be larger than 1235.

C) What is the probability that the sample mean will fall within 25 points of the population mean?

This is the subtraction of the pvalue of the Z score when X = 1225 by the pvalue of the Z score when X = 1175.

So:

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

Z = \frac{1225 - 1200}{17.15}

Z = 1.46

Z = 1.46 has a pvalue of 0.9279

X = 1175 is going to have Z = -1.46, that has a pvalue of 0.0722.

This means that there is a 0.9297 - 0.0729 = 0.8568 = 85.68% probability that the sample mean will fall within 25 points of the population mean.

D) What is the probability that the sample mean will be less than 1175?

X = 1175 has Z = -1.46, that has a pvalue of 0.0722.

This means that there is a 7.22% probability that the sample mean will be less than 1175.

3 0
3 years ago
The expression 60+25x represents the cost of the bracelet for x charms added to the purchase. What does the 25 represent in the
g100num [7]

Answer:

the cost of each charm

Step-by-step explanation:

Since x is the number of charms and it is multiplied by 25, 25 is the cost of each charm

7 0
3 years ago
25. If mVYX = 276° and m angle UVX = (4x - 5),
katovenus [111]

Answer:

22.25 or 22

Step-by-step explanation:

360-276+=84

4x-5=84

4x=89

x=22.25 or 22

6 0
3 years ago
The invitations to a holiday party cost a total of $31.50 if each invitation cost $0.75 cents how many invitations were sent out
babunello [35]

Answer:

42

Step-by-step explanation:

divide the total by the cost of each invite

6 0
3 years ago
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