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LUCKY_DIMON [66]
3 years ago
8

What is the property of -8+3 = 3+ (-8)

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0

Answer:

12

Step-by-step explanation:

its not 12 im just trying to make an account

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A gas station operates two pumps, each of which can pump up to 10,000 gallons of gas in a month. the total of gas pumped at the
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Given that a<span> gas station operates two pumps, each of which can pump up to 10,000 gallons of gas in a month and that the total of gas pumped at the station in a month is a random variable y (measured in 10,000 gallons) with a probability density function (p.d.f.) given by

f(y)=\begin{cases}&#10;      cy, & \text{if} \ \ 0\ \textless \ y\ \textless \ 1 \\&#10;      (2-y), & \text{if} \ \ 1\leq y\ \textless \ 2 \\&#10;      0, & \text{elsewhere}&#10;    \end{cases}

Part A:

The value of c that makes f(y) a pdf is obtained as follows:

F(\infty)= \int\limits^{\infty}_{-\infty} {f(y)} \, dy=1  \\  \\ \Rightarrow \int\limits^1_0 {cy} \, dy +\int\limits^2_1 {(2-y)} \, dy=1 \\  \\ \Rightarrow \left. \frac{cy^2}{2} \right]^1_0+\left[2y- \frac{y^2}{2} \right]^2_1=1 \\  \\ \Rightarrow  \frac{c}{2} +4-2-2+ \frac{1}{2} =1 \\  \\ \Rightarrow \frac{c}{2} = \frac{1}{2}  \\  \\ \Rightarrow \bold{c=1}



Part B:

We compute E(y) as follows:

E(y)=\int\limits^{\infty}_{-\infty} {yf(y)} \, dy \\  \\ =\int\limits^1_0 {y^2} \, dy +\int\limits^2_1 {(2y-y^2)} \, dy \\  \\ =\left. \frac{y^3}{3} \right]^1_0+\left[y^2- \frac{y^3}{3} \right]^2_1 \\  \\ = \frac{1}{3} +4- \frac{8}{3} -1+ \frac{1}{3}  \\  \\ =1

Therefore, E(y) = 1.
</span>
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3 years ago
Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool
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Answer:

19.82 units

Step-by-step explanation:

The number of units of tile simply refers to the perimeter.

So, we need to find all the sides of the rectangle.

Now, we have AB = 4.24 units and BD = 7.07 units.

So, we can find AD using pythagoras theorem.

So,

(AD)² + 4.24² = 7.07²

(AD)² + 17.978 = 49.985

(AD)² = 49.985 - 17.978

AD = √32.007

AD = 5.66 units

AD = BC = 5.66 units

Likewise, AB = DC = 4.24 units

Thus,

perimeter = 2(5.66) + 2(4.24) = 19.8 units

Closest answer among the options is approximately 19.82

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3 years ago
Liz has 72 stamps in her stamp collection. Risa, who just started her collection, has 9 stamps. Liz’s collection is how many tim
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The answer is: 9x = 72, x = 8

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Answer:

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Which of the following is a valid probability distribution? A 2-column table labeled Probability Distribution A has 4 rows. The
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