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kykrilka [37]
3 years ago
5

You are in charge of finding a venue for a concert. With the average square feet per

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer:

<em>184,499 will fit, Yes</em>

Step-by-step explanation:

<u>Proportions</u>

We'll use proportions to answer the question and find the number of students fit into a building of 300 ft x 300 ft. The area of the building is

300\ in\times 300\ in=90000\ in^2

We are given a factor of 2.05 students per square feet, thus the number of students that fit into the building is

2.05\cdot 90000\ in^2=184500

Since 184500 is greater than 142551 people required, they easily fit into that space.

The closest answer is

184,499 will fit, Yes

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Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105 and a standard deviation sigma equa
Sindrei [870]

Answer:

0.7698

Step-by-step explanation:

If you call your random variable X, then what you are looking for is

P(87 \leq X \leq 123)

because you want the probability of X being <em>between 87 and 123.</em>

We need a table with of the normal distribution. But we can only find the table with \mu = 0 and \sigma = 1. Because of that, first we need to  <em>normalize </em>our random variable:

Z = \frac{X - \mu}{\sigma} = \frac{X - 105}{15}

(you can always normalize your variable following the same formula!)

now we can do something similar to our limits, to get a better expression:

\frac{87 - 105}{15} = \frac{-18}{15} = -1.2

\frac{123 - 105}{15} = \frac{18}{15} = 1.2

And we transform our problem to a simpler one:

P(87 \leq X \leq 123) = P(-1.2 \leq Z \leq 1.2) = P(Z \leq 1.2) - P(Z \leq -1.2)

(see Figure 1)

From our table we can see that P(Z \leq 1.2) = 0.8849 (this is represented in figure 2).

Remember that the whole area below the curve is exactly 1. So we can conclude that  P(Z \geq 1.2) = 0.1151 (because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then

P(Z \leq -1.2)= P(Z \geq 1.2) = 0.1151.

FINALLY:

P(Z \leq 1.2) - P(Z \leq -1.2) = 0.8849 - 0.1151 = 0.7698

5 0
3 years ago
Yoko is going for a walk. She takes 5 hours to walk 12.5 miles. What is her speed?
Dennis_Churaev [7]

Answer:

2.5mph (miles per hour)

Step-by-step explanation:

Simple, 12.5/5 = 2.5 mph (miles per hour)

8 0
2 years ago
*Easy* &amp; will mark brainest!! Does the image above mean no solution or infinite solutions? please let me know!
jenyasd209 [6]

Answer:

No solution.

Step-by-step explanation:

That image is of the symbol of the empty set. The solution set is empty, which means there is no solution.

8 0
3 years ago
Read 2 more answers
I need help please?!!!!
Liula [17]

The answer is -5 all you have to do is divide -15 by 3

8 0
3 years ago
Giving a test to a group of students, the grades and gender are summarized below
GenaCL600 [577]

Answer:

59 / 71

Step-by-step explanation:

Given the data :

A B C Total

Male 20 10 13 43

Female 15 2 11 28

Total 35 12 24 71

The probability of randomly selecting a Student that got B ;

Probability = required outcome / Total possible outcomes

P(getting B) = number of students who got B / total number of students

P(getting B) = 12 / 71

Probability of getting B = 12 /71

Probability of not getting B = P(getting B)' = 1 - P(getting B)

Probability that student did not get "B" = 1 - 12/71 = 59 / 71

7 0
2 years ago
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