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Neporo4naja [7]
3 years ago
5

A Bag contains 3 green marbles, 7 white marbles, and red marbles (and no other marbles). One marble is chosen without

Mathematics
2 answers:
Ivenika [448]3 years ago
5 0

Answer:

A White Marble

Step-by-step explanation:

The chance of choosing a white marble is 7/12 (amount of red marbles = 2 because there is no exact number, the problem only states there are more than one marble. To find probability, add all of the possible changes combinations of choosing a marble from the bag. ( 3 + 7 + 2 = twelve. After finding how many possible combinations there are, subtract the # of possible combinations from the # of marbles that are not white. ( 12 - 5 = 7 ). Finally, put the amour of white marbles next to the # of possible combinations. (7/12)

Anna35 [415]3 years ago
3 0

Answer:

what is the multiple choice

Step-by-step explanation:

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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
Maggie’s brother is 12 years younger that three times her age . The sun of their ages is 44 . How old is Maggie
meriva
I'm not sure if this is right but you can set up an equation and solve to find Maggie's age:

Maggie's brother's age = b
Maggie's age = m

b = 12 - 3m
44 = 12-3m
12-3m = 44
-12 -12
-3m = 32
÷ 3 ÷3
m = 10.67

So this would be Maggie's age

I hope this helped :)
7 0
4 years ago
Find the product. (4/5)(9/5)(-1/2)
MatroZZZ [7]
I believe it’s -0.72
5 0
3 years ago
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OverLord2011 [107]

<span>The volume of the cylinder will be 2</span>πR^{3}

 

As shown in figure, R is the base radius of the cylinder.

H is the height of the cylinder.

Given: H = diameter of the base of cylinder.

Now, diameter of the base = 2R

So, H = 2R

<span>Volume of cylinder = π×</span>R^{2}×H

<span>                                  = π×</span>R^{2}×(2R)

<span>                                  = 2 π </span>R^{3} cubic units.

7 0
3 years ago
Read 2 more answers
Square root of 121x^2
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Answer:

Step-by-step explanation:

square root of 121 is11

square root of x^2 is x

so 11x

6 0
3 years ago
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