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Montano1993 [528]
3 years ago
11

You have an office building that is 600 square feet in area. What are two possible dimensions how your office could be construct

ed?
Mathematics
1 answer:
stepan [7]3 years ago
8 0

Answer:

20\ ft  by  30\ ft

15\ ft  by  40\ ft

Step-by-step explanation:

In this problem I'm assuming the office is rectangular.

so

The area of rectangle is equal to

A=LW

where

L is the length of the rectangle

W is the width of the rectangle

In this problem we have

A=600\ ft^{2}

so

600=LW ------> equation A

Find two possible dimensions of the office

case A) Assume  a length side L and find the value of W in the equation A

so

For L=30\ ft

substitute in the equation and solve for W

600=(30)W

W=600/30=20\ ft

The dimensions are 20\ ft  by  30\ ft

case B) Assume  a length side L and find the value of W in the equation A

so

For L=40\ ft

substitute in the equation and solve for W

600=(40)W

W=600/40=15\ ft

The dimensions are 15\ ft  by  40\ ft

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Find the values for m and n that would make the following equation true.
dimaraw [331]

You would solve it in two parts.

4*n = 44     Divide by 4

4n/4 = 44/4

n = 11

=============

z^m * z^2 = z^9

When the bases are the same (on the left) the powers on the left add

m + 2

The powers on the left side of the equation are the same as the powers on the right when the bases are the same.

m + 2 = 9                 Subtract 2 from both sides.

m + 2 - 2 = 9 - 2

m = 7

=================

Answers

m = 7

n = 11

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3 years ago
Seven times a number minus the number is -48.
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Answer:61.7

Step-by-step explanation:

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2 years ago
Simplify:<br> 6x-7-11x+x<br><br> show all work if possible
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3 years ago
A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 student
Gwar [14]

Answer:

B) 0.283

Step-by-step explanation:

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.

25% of the students drive themselves to school.

This means that p = 0.25

Class of 18 students

This means that n = 18

What would be the probability that at least 6 students drive themselves to school?

This is

P(X \geq 6) = 1 - P(X < 6)

In which

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

So

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

P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006

P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034

P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096

P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17

P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213

P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718

P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282

Closest option is B, just a small rounding difference.

4 0
3 years ago
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