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4 years ago

7

HELP ME PLEASE!! ASAP!!

1 answer:

Levart [38]4 years ago

3 0

The total area is given by:
A1 = (300) * (500)
A1 = 150000 feet ^ 2
The area occupied by 5 people is:
A2 = (5) * (5)
A2 = 25 feet ^ 2
Then, we can make the following rule of three:
5 --------> 25
x --------> 150000
Clearing x we have:
x = (150000/25) * (5)
x = 30000
Answer:
D. 30,000 people

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If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?

Ipatiy [6.2K]

Answer:

$P(X$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable of interest for a population, and for this case we know the distribution for X is given by:

$X \sim N(5.43,0.54)$

Where $\mu=5.43$ and $\sigma=0.54$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability on this way:

$P(Z$

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

6 0

4 years ago

The original price of a pair of shoes at Nike Outlet is $109.99 and there is a mark down of 25% because the shop is having a Bla

daser333 [38]

Answer:

$ 36.66 were take off the original price at Nike Outlet.

Step-by-step explanation:

The amount of money taken off the original price is obtained by subtracting actual price from original price. That is:

$x = \frac{\$\,109.99}{1-0.25} - \$\,109.99$

$x = \$\,36.66$

$ 36.66 were take off the original price at Nike Outlet.

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3 years ago

If I get paid 10 dollars a hour, how much do I get paid every 1 minute.

pshichka [43]

Answer:

0.16666

Step-by-step explanation:

100/60

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3 years ago

A pigeon was sitting 18 feet from the base of a telephone pole and flew 30 feet to reach the top of the pole. How tall is the te

natta225 [31]

Answer:

The telephone pole is 24 ft.

Step-by-step explanation:

30^2-18^2=b^2

900-324=b^2

576=b^2

\sqrt{576} =\sqrt{b^2}

24=b

b=height of telephone pole

6 0

3 years ago

A mechanic sells a brand of automobile tire that has a life expectancy that is normally distributed, with a mean life of 27 com

Harrizon [31]

Answer:

Tires that wear out by approximately 24307.8 miles will be replaces free of charge.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 27,000 miles

Standard Deviation, σ = 2100 miles

We are given that the distribution of life expectancy is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.10

$P( X < x) = P( z < \displaystyle\frac{x - 27000}{2100})=0.10$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 27000}{2100} = -1.282\\\\x = 24307.8$

Tires that wear out by approximately 24307.8 miles will be replaces free of charge.

4 0

4 years ago