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Y_Kistochka [10]
3 years ago
14

Mandy needs to paint all the faces and the base of a model pyramid she made for her history project. The dimensions of the pyram

id are shown here. What is the total surface area of the pyramid?
A square pyramid is shown. The side of the square is 10 inches. The height of the triangular faces is 9 inches.

A. 190 in2
B. 280 in2
C. 380 in2
D. 460 in2
Mathematics
1 answer:
Maurinko [17]3 years ago
7 0

Hello,

The correct answer is B) 280 in²

= 10( 2 × 9 + 10 )

= 10 (2 × 9 = 18 + 10 = 28)

= 10 × 28 = 280

= 280

Answer: 280 in²

In other words.....

= 10(2*9+10)

= 10(18+10)

= 10*28

= 280

Answer: 280 in²

Hope this helps!!!! (:


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Answer:

B. Yes, because P(X ≥ 68) ≤ .05

Step-by-step explanation:

The probability of a score X occuring is said to be unusually high if the probability of a score of X or larger is lower than 5%.

For each student, there are only two possible outcomes. Either they think that the court shows too much concern for criminals, or they do not think this. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

Three out of four students said that courts show too much concern for criminals. This means that p = \frac{3}{4} = 0.75

Would 68 be considered an unusually high number of students who feel that courts are partial to criminals?

We have to find P(X \geq 68).

P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 68) = C_{70,68}.(0.75)^{68}.(0.25)^{2} < 0.000001

P(X = 69) = C_{70,69}.(0.75)^{69}.(0.25)^{1} < 0.000001

P(X = 70) = C_{70,70}.(0.75)^{70}.(0.25)^{0} < 0.000001

So

P(X \geq 68) = P(X = 68) + P(X = 69) + P(X = 70) < 0.000003

P(X \geq 68) is lower than 0.05, so this is an unusually high number.

So the correct answer is:

B. Yes, because P(X ≥ 68) ≤ .05

5 0
3 years ago
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