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Zinaida [17]
3 years ago
10

Hudson wants to write a letter to his friend. He took out

Mathematics
1 answer:
slamgirl [31]3 years ago
8 0

Answer:

length = 15 feet.

Step-by-step explanation:

This paper is 15 feet across on any side. Who will deliver this monster?

Area = s^2 where s is the length of 1 side.

Area = 225 feet^2  (You sure this isn't inches).

s^2 = area

s^2 = 225        Take the square root of both sides of the equation.

sqrt(s^2) = sqrt(225)

s = 15

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The 2000 population of a city was 710​,000 and was increasing at the rate of 1.49 % each year. At that​ rate, when will the popu
AlekseyPX

Answer:

23.1567

Step-by-step explanation:

710000(1+1.49/100)ⁿ=1000000

710000×1.0149ⁿ=1000000

1000000÷710000=1.0149ⁿ

1.4084507=1.049ⁿ

log1.4084507=ⁿlog1.0149

log1.4084507/log1.0149=ⁿ

7 0
3 years ago
The time a randomly selected individual waits for an elevator in an office building has a uniform distribution with a mean of 0.
Amiraneli [1.4K]

Answer:

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size, of at least 30, can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 0.5, \sigma = 0.289

What are the mean and standard deviation of the sampling distribution of means for SRS of size 50?

By the Central Limit Theorem

\mu = 0.5, s = \frac{0.289}{\sqrt{50}} = 0.0409

The mean of the sampling distribution of means for SRS of size 50 is \mu = 0.5 and the standard deviation is s = 0.0409

Does it matter that the underlying population distribution is not normal?

By the Central Limit Theorem, since we have of sample of 50, which is larger than 30, it does not matter that the underlying population distribution is not normal.

What is the probability a sample of 50 people will wait longer than 45 seconds for an elevator?

We have to use 45 seconds as minutes, since the mean and the standard deviation are in minutes.

Each minute has 60 seconds.

So 45 seconds is 45/60 = 0.75 min.

This probability is 1 subtracted by the pvalue of Z when X = 0.75. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.75 - 0.5}{0.0409}

Z = 6.11

Z = 6.11 has a pvalue of 1

1-1 = 0

0% probability a sample of 50 people will wait longer than 45 seconds for an elevator.

8 0
3 years ago
Add please -35.25+(8.5)
givi [52]

Answer:

Hello the answer is -23.75

plus +minus=Minus so we will minus it

5 0
3 years ago
Read 2 more answers
1. Plot at least 10 points whose y-coordinate is -4.
irina [24]

Answer:  answer in screenshots down below

Step-by-step explanation:

7 0
2 years ago
M+(-9.5)=-7.8 how do you do this problem
krok68 [10]
M + (-9.5) = -7.8

First, simplify your brackets. / Your problem should look like: m + -9.5 = -7.8
Second, change addition to subtraction. / Your problem should look like: m - 9.5 = -7.8
Third, add 9.5 to both sides. / Your problem should look like: m = -7.8 + 9.5
Fourth, simplify. / Your problem should look like: m = 1.7

Answer: m = 1.7

3 0
3 years ago
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