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goldfiish [28.3K]
2 years ago
11

What is the percent error for a measurement of 5 yards?

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
3 0
The percent error is 2%
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How many women must be randomly selected to estimate the mean weight of women in one age group? We want 90% confidence that the
ki77a [65]

Answer:

155 women must be randomly selected.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be 28 lbs.

This means that \sigma = 28

We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?

This is n for which M = 3.7. So

M = z\frac{\sigma}{\sqrt{n}}

3.7 = 1.645\frac{28}{\sqrt{n}}

3.7\sqrt{n} = 1.645*28

\sqrt{n} = \frac{1.645*28}{3.7}

(\sqrt{n})^2 = (\frac{1.645*28}{3.7})^2

n = 154.97

Rounding up:

155 women must be randomly selected.

4 0
3 years ago
Alex wants to buy a video game that sells for $59.99. An advertisement says that next week that video game will be on sale for $
Andrew [12]

This is just simple subtraction, 59.99 - 47.50

The answer is C: 12.49

5 0
2 years ago
The ages of members of an online gaming group are normally distributed with a mean of 23 years and a standard deviation of 4 yea
Lelechka [254]
To get the number of members between 15 years and 30 years we proceed as follows:
z=(x-μ)/σ
where:
mean,μ=23
standard deviation, σ=4 years
thus
P(15<x<31)
when x=15
P(x<15)
z=(15-23)/4
z=-2
thus
P(x<15)=P(z<-2)=0.0228

when x=31
z=(31-23)/4
z=2
thus
P(x<31)=P(z<2)=0.9772
Hence:
P(15<x<31)=0.9544
hence the number of members between that age was:
0.9544×300
=286.32 people
~285 People
Answer: 285 people

5 0
3 years ago
The coordinates of the intersection of two lines on a graph represent the values of__ and __ when you solve the system of equati
Neko [114]

Answer:

The coordinates of the intersection of two lines on a graph represent the values of <u>x</u> and <u>y</u> when you solve the system of equation.

Step-by-step explanation:


4 0
3 years ago
What is the measure of RST shown in the diagram below?
hammer [34]

Answer:

dsdsdsdsdsdssdsddddddddd

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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