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SpyIntel [72]
3 years ago
5

Leroy's backyard is a rectangle that is three times as long as it is wide. What is the perimeter and the area of the yard? First

draw a diagram to help you solve the problem. Let a be the width of Leroy's yard. The perimeter is a+3a+a+3a or 8a. The area is l×w; so the backyard area is a×3a or 3a^2. Suppose you know the area of the yard 7,500 square feet how can you find the value of a?
Mathematics
1 answer:
spayn [35]3 years ago
7 0
3a^2=7500
a^2=7500/3
a^2=2500
square root of a^2=square root of 2500
a=50
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An entomologist writes an article in a scientific journal which claims that fewer than 16 in ten thousand male fireflies are una
bazaltina [42]

Answer:

a) H0: p > 0.0016

H1: p ≤ 0.0016

Step-by-step explanation:

A null hypothesis states that there is no relation between two variables, it's what the researcher wants to discredit.

On the other hand, the alternative hypothesis is what the researcher tries to prove.

<u>The claim of this entomologists is that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Therefore, this claim is what he wants to prove and it would be the alternative hypothesis.</u>

H1: p ≤ 0.0016

The null hypothesis would be the opposite of the alternative hypothesis and therefore it would be:

H0: p > 0.0016

6 0
3 years ago
If g(x) = 3/4 x + 2, find g(-12).
scZoUnD [109]

Answer:

(-7)

Step-by-step explanation:

just plug in the number in the x place to solve

4 0
3 years ago
Which is the approximate measure of angle Y? Use the law of sines to find the answer.
vitfil [10]
Siny/2.7=sin63/2.8

siny=2.7sin63/2.8

y=arcsin((2.7sin63)/2.8)

y≈59.23°  (to nearest one-hundredth of a degree)
8 0
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Mamont248 [21]

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Step-by-step explanation:

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7 0
2 years ago
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(45pts) An elevator holds at most 1,400 pounds. A team of movers and their cart have a combined weight of 1,200 pounds. If each
emmainna [20.7K]
Let x be the number of boxes the team brings with them. Their weight combined with the boxes can't exceed the capacity of 1400. Assuming the elevator runs fine at that exact weight, you want to find the number of boxes, each of which contributes 40 pounds. This is given by the equation

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Solving for x, you have

1400=1200-40x
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So the team can bring *at most* 5 boxes at a time.
4 0
4 years ago
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