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uysha [10]
2 years ago
15

The length of the sides of the base of the largest of the Great Pyramids of Giza, near Cairo, Egypt, is 230 m. This square pyram

id is 147 m tall. What is the volume of the pyramid? Enter your answer in the box.
Mathematics
1 answer:
Lorico [155]2 years ago
7 0
For this case we have that the volume of the square pyramid is given by:
 V = ((L ^ 2) * (h)) / 3
 Where,
 L: side of the base
 h: height
 Substituting values we have:
 V = ((230 ^ 2) * (147)) / 3
 V = 2592100 m ^ 3
 Answer:
 
the volume of the pyramid is:
 
V = 2592100 m ^ 3
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The value of b is -16 and the value of ac is 60 after comparing with the standard equation.

<h3>What is a quadratic equation?</h3>

Any equation of the form \rm ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

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On comparing with standard function:

b = -16

a = 3

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ac = 3(20) = 60

Thus, the value of b is -16 and the value of ac is 60 after comparing with the standard equation.

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Answer:

22.60% probability that exactly 3 people are repeat offenders

Step-by-step explanation:

For each driver arrested selected, there are only two possible outcomes. Either they are repeat offenders, or they are not. The probability of an arrested driver being a repeat offender is independent from other arrested drivers. 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.

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And p is the probability of X happening.

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This means that p = 0.09

Suppose 28 people arrested for DUI in Illinois are selected at random.

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a) What is the probability that exactly 3 people are repeat offenders

This is P(X = 3)

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

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22.60% probability that exactly 3 people are repeat offenders

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