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masya89 [10]
3 years ago
13

I need help can someone help me (:

Mathematics
1 answer:
vladimir2022 [97]3 years ago
3 0
Hey there!

To solve the first problem, I've found it easiest to solve the equation for, say, values –2 through +2 and create a table of values for you to begin graphing this function. You may need to do more depending on the equation itself. 

Some points are: (–2, 0.75), (–1, 1.5), (0, 3), (1, 6) and (2, 12). You can check which graph matches up with these points the closest to get your answer of D. 

To solve the second problem, you'll need to use the distance equation.

x1 = –4, y1 = 3
x2 = –1, y2 = 1 
  ___________________
√ (x2–x1)^2 + (y2–y1)^2
  _________________
√ (–1–(–4)^2 + (1–3)^2
  _______________
√ (–1+4)^2 + (–2)^2
  ____________
√ (3)^2 + (–2)^2
  _____
√ 9 + 4
  ___
√ 13, making your answer D

For your third question, I always just counted the number of units the point was from the line of reflection. You'll count twice diagonally towards the line from point C for this one, staying on the "crosshairs" of the graph. All you need to do then is count two diagonal units along the same line, then you'll get your answer of (2, 6), or D. 

For your final question, A and B are immediately out, since they won't be parallel to the 4x equation. You'll need to solve both of your remaining equations for y with 2 plugged in for x; whichever one equals 7 will be your answer. In this case, it will be D. 

Hope this helped you out! :-)
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An elevator has a stated maximum capacity of 12 people or 2004 pounds. If 12 people have weights with a mean greater than (2004/
weqwewe [10]

Answer:

a) 0.6517; b) 0.9115; c) No

Step-by-step explanation:

For part a, we will use the formula for a z score of an individual:

z=\frac{X-\mu}{\sigma}\\\\=\frac{167-182.9}{40.8}\\\\=\frac{-15.9}{40.8}\approx -0.39

Using a z table, we see that the area under the curve to the left of this value is 0.3483.  However, we want the probability greater than this, which is the area to the right of this value under the curve; this means we subtract from 1:

1-0.3483 = 0.6517

For part b, we will use the formula for a z score of the mean of a sample:

z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}\\\\=\frac{167-182.9}{40.8\div \sqrt{12}}\\\\=\frac{-15.9}{40.8\div 3.4641}\\\\=\frac{-15.9}{11.778}\approx -1.35

Using a z table, we see that the area under the curve to the left of this value is 0.0885.  This means the area under the curve to the right of this value is

1-0.0885 = 0.9115

For part c,

The fact that the probability that any 12 men on the elevator will have a mean weight greater than 167, putting their total weight above 2004 pounds, is 91% means the elevator does not have the appropriate limit.  There is a high chance the maximum will be exceeded.

8 0
3 years ago
What is the meaning of perimeter? What is the perimeter of a rectangle?
natta225 [31]

Answer:

Step-by-step explanation:

<h2>Perimeter</h2>

   Perimeter of shape is the distance of the path or boundary that surrounds the shape

Perimeter of rectangle =2*length + 2*width

4 0
3 years ago
Read 2 more answers
Juries should have the same racial distribution as the surrounding communities. According to the U.S. Census Bureau, 18% of resi
Ymorist [56]

Answer:

0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

18% of residents in Minneapolis, Minnesota, are African Americans. Suppose a local court will randomly sample 100 state residents and will then observe the proportion in the sample who are African American.

This means that p = 0.18, n = 100

So, by the Central Limit Theorem:

\mu = 0.18, s = \sqrt{\frac{0.18*0.82}{100}} = 0.0384

How likely is the resulting sample proportion to be between 0.066 and 0.294?

This is the pvalue of Z when X = 0.294 subtracted by the pvalue of Z when X = 0.066. So

X = 0.294

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

By the Central Limit Theorem

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

Z = \frac{0.294 - 0.18}{0.0384}

Z = 2.97

Z = 2.97 has a pvalue of 0.9985

X = 0.066

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

Z = \frac{0.066 - 0.18}{0.0384}

Z = -2.97

Z = -2.97 has a pvalue of 0.0015

0.9985 - 0.0015 = 0.997

0.997 = 99.7% probability that the resulting sample proportion to be between 0.066 and 0.294

3 0
3 years ago
3. Which ordered pairs could be in a relation that has a range of 2, 4, 5?
Mrac [35]

Answer:

b

Step-by-step explanation:

I did it already

7 0
3 years ago
Which one correct pls help and thanks
erastova [34]
I think it’s b because x when it’s alone is one i think
6 0
4 years ago
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