3 years ago

Check all that apply please

Mathematics

1 answer:

nydimaria [60]3 years ago

7 0

Answer:

1, scalene 2, equilateral 3, scalene 4, isosceles

Step-by-step explanation:

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Nataly_w [17]

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3 years ago

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The failure of a circuit board interrupts work that utilizes a computing system until a new board is delivered. The delivery tim

Hatshy [7]

Answer:

The expected cost is 152

Step-by-step explanation:

Recall that since Y is uniformly distributed over the interval [1,5] we have the following probability density function for Y

$f_Y(y ) = \frac{1}{5-1} = \frac{1}{4}$ if $1\leq y \leq 5$ and 0 othewise. (To check this is the pdf, check the definition of an uniform random variable)

Recall that, by definition

$E(Y^k) = \int_{-\infty}^{\infty} y^kf_Y(y)dy$

Also, we are given that $C = 50+3Y+9Y^2$ . Recall the following properties of the expected value. If X,Y are random variables, then

$E(a+bX+cY) = a+bE(X)+cE(Y)$

Then, using this property we have that $E[C] = 50+3E[Y]+ 9E[Y^2]$ .

Thus, we must calculate E[Y] and E[Y^2].

Using the definition, we get that

$E[Y] = \int_{1}^{5}\frac{y}{4} dy =\frac{1}{4}\left\frac{y^2}{2}\right|_{1}^{5} = \frac{25}{8}-\frac{1}{8} = 3$

$E[Y^2] = \int_{1}^{5}\frac{y^2}{4} dy =\frac{1}{4}\left\frac{y^3}{3}\right|_{1}^{5} = \frac{125}{12}-\frac{1}{12} = \frac{31}{3}$

Then

$E(C) = 50 + 3\cdot 3 + 9 \cdot \frac{31}{3} = 152$

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3 years ago

Question 8 If h (2) = 2x + 1. find the value of x if h(x) is 11. 5 23 -23 7

mel-nik [20]

I think the answer is 23

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4 years ago

A research student recorded the distance traveled by a car for every gallon of gasoline used. He recorded the results in the tab

raketka [301]

Answer:

Step-by-step explanation:

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3 years ago

8.51 is what percent of 18.5

Flura [38]

dive the two numbers:

8.51 / 18.5 = 0.46

0.46 = 46%

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3 years ago