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Korolek [52]
2 years ago
6

Pls help I’ll brainlest ASAP

Mathematics
2 answers:
kherson [118]2 years ago
5 0
3/5 is the slop 3 up 5 over
Amanda [17]2 years ago
3 0
(-2,1) i think that’s the answer
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The weight of an adult swan is normally distributed with a mean of 26 pounds and a standard deviation of 7.2 pounds. A farmer ra
Snezhnost [94]
Let X denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by X_1,\ldots,X_{36}, each independently and identically distributed with distribution X_i\sim\mathcal N(26,7.2).

You want to find

\mathbb P(X_1+\cdots+X_{36}>1000)=\mathbb P\left(\displaystyle\sum_{i=1}^{36}X_i>1000\right)

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)

Recall that if X\sim\mathcal N(\mu,\sigma), then the sampling distribution \overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right) with n being the size of the sample.

Transforming to the standard normal distribution, you have

Z=\dfrac{\overline X-\mu_{\overline X}}{\sigma_{\overline X}}=\sqrt n\dfrac{\overline X-\mu}{\sigma}

so that in this case,

Z=6\dfrac{\overline X-26}{7.2}

and the probability is equivalent to

\mathbb P\left(\overline X>\dfrac{1000}{36}\right)=\mathbb P\left(6\dfrac{\overline X-26}{7.2}>6\dfrac{\frac{1000}{36}-26}{7.2}\right)
=\mathbb P(Z>1.481)\approx0.0693
5 0
3 years ago
How does the figure help verify the triangle inequality theorem?
adelina 88 [10]

The figure description helps; Choice A; by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.

<h3>What is the triangle inequality theorem?</h3>

The triangle inequalities theorem postulates that the sum of lengths of two sides of a triangle must be greater than the length of the third side.

On this note, it follows that the since the sum of sides given in the description 7 and 4 is less than 15, the segments cannot be used to form a triangle.

Read more on triangle inequalities;

brainly.com/question/22559323

#SPJ1

6 0
1 year ago
3/4 divided by n = 24
Sophie [7]
The answer is n= 1/32

4 0
3 years ago
Read 2 more answers
What is the slope of a straight line, which is perpendicular to the line y = 1.6x + 4?
e-lub [12.9K]
The answer is -0.625
8 0
2 years ago
I need help with this question
WITCHER [35]
I believe it is D
if not it is A
5 0
3 years ago
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