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iren [92.7K]
3 years ago
11

Show work 29 points pls help

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Answer:

a

Step-by-step explanation:

The equation of a proportional relationship is

y = kx ← k is the constant of proportionality

Divide both sides by x

\frac{y}{x} = k

To find k use any ordered pair from the table

Using (2, \frac{5}{2} ) , then

k = \frac{2}{\frac{5}{2} } = 2 × \frac{2}{5} = \frac{4}{5}

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От
enot [183]

Answer:

2.75 miles, 14520 feet

Step-by-step explanation:

11 miles/4=2.75

1 mile=5280 feet

2.75 miles=14520 feet

6 0
3 years ago
A city doubles its size every 64 year. If the population is currently 225,000, what will the population be in 128 years?
Rudiy27

Answer:

=900000

Step-by-step explanation:

the current ppl=225000

after 64 years=225000×2=450000

in the next 64 yrs(128 yrs later)=450000×2=900000

3 0
3 years ago
The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard devia
KengaRu [80]

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

W = \frac{X-\mu}{\sigma} = \frac{X-70}{4}

The values of the cumulative distribution function of W, denoted by \phi , can be found in the attached file. Lets call y = \frac{z-70}{4} . We have

0.1 = P(X > z) = P(\frac{X-70}{4} > \frac{z-70}{4}) = P(W > y) = 1-\phi(y)

Thus

\phi(y) = 1-0.1 = 0.9

by looking at the table, we find that y = 1.28, therefore

\frac{z-70}{4} = 1.28\\z = 1.28*4+70 = 75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .

Download pdf
8 0
3 years ago
Certain gases in the atmosphere trap heat on Earth.
erik [133]
<span>C.
glacial melting<<<<<<<<<<<<<<<</span>
4 0
3 years ago
This data set gives the scores of 41 students on a biology exam: {66, 67, 67, 68, 80, 81, 81, 82, 22, 65, 66, 68, 69, 70, 71, 71
Naddika [18.5K]
I think the answer is 74.
3 0
3 years ago
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