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Rom4ik [11]
3 years ago
10

Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 3 inches.

Mathematics
1 answer:
Simora [160]3 years ago
5 0
3^2+3^2=c^2 18=c^2 c=3sqrt2 Or 4.24 if you need a decimal answer
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Which graph matches the exponential function f(x) = (3)x?
kondaur [170]
What are the graphs?
4 0
3 years ago
An item that originally cost $12 is marked down 30%. What is the price of the item after the markdown? Show work please
Anettt [7]

First we have to determine 30% of 12.

(30×12)÷100=3.6 so 3.6 is 30% of 12.

12 - 3.6= 8.4

Your answer is 8.4

8 0
3 years ago
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
What sentence represents this equation?
Marta_Voda [28]

Step-by-step explanation:

when 11 is decreased by a number, the result is 413

4 0
2 years ago
(4x3y3)3<br>me pueden ayudar​
Dominik [7]

Answer:

12x9y9

Step-by-step explanation:

( 4x3y3 ) 3

= 4x ⋅ 3 ⋅ 3y ⋅ 3 ⋅ 3 ⋅ 3

= 12x9y9

7 0
3 years ago
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