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3 years ago

15

The graphic compares two basketball shoes.

1 answer:

rewona [7]3 years ago

8 0

<span>2 the Air Slammers because they are the best price.
According to the information given to receive the best deal, he would choose the Air Slammers because the price is the cheapest, and even if the hyper dunks would last 2 seasons if the air slammers lasted 1 season each the total would be less than the Hyper Dunks.
</span>

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Hat value is needed to fill in the blank to make this trinomial a perfect square trinomial. 4x2 + __x + 81?

Doss [256]

36, because the square root of 4 is 2 and the square root of 81 is 9. You multiply those and then double it to get 36.

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2 years ago

Let Y1 and Y2 be independent exponentially distributed random variables, each with mean 7. Find P(Y1 > Y2 | Y1 < 2Y2). (En

ArbitrLikvidat [17]

<em>Y</em>₁ and <em>Y</em>₂ are independent, so their joint density is

$f_{Y_1,Y_2}(y_1,y_2)=f_{Y_1}(y_1)f_{Y_2}(y_2)=\begin{cases}\frac1{49}e^{-\frac{y_1+y_2}7}&\text{for }y_1\ge0,y_2\ge0\\0&\text{otherwise}\end{cases}$

By definition of conditional probability,

P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = P((<em>Y</em>₁ > <em>Y</em>₂) and (<em>Y</em>₁ < 2 <em>Y</em>₂)) / P(<em>Y</em>₁ < 2 <em>Y</em>₂)

Use the joint density to compute the component probabilities:

• numerator:

$P((Y_1>Y_2)\text{ and }(Y_1$

$=\displaystyle\frac1{49}\int_0^\infty\int_{\frac{y_1}2}^{y_1}e^{-\frac{y_1+y_2}7}\,\mathrm dy_2\,\mathrm dy_1$

$=\displaystyle-\frac17\int_0^\infty\int_{-\frac{3y_1}{14}}^{-\frac{2y_1}7}e^u\,\mathrm du\,\mathrm dy_1$

$=\displaystyle-\frac17\int_0^\infty\left(e^{-\frac{2y_1}7} - e^{-\frac{3y_1}{14}}\right)\,\mathrm dy_1$

$=\displaystyle-\frac17\left(-\frac72e^{-\frac{2y_1}7} + \frac{14}3 e^{-\frac{3y_1}{14}}\right)\bigg|_0^\infty$

$=\displaystyle-\frac17\left(\frac72 - \frac{14}3\right)=\frac16$

• denominator:

$P(Y_1$

(I leave the details of the second integral to you)

Then you should end up with

P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = (1/6) / (2/3) = 1/4

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2 years ago

What is the IQR of 0,1,1,3,3,3,4,5, and 7?

pentagon [3]

3.5 is the IQR of <span>0,1,1,3,3,3,4,5, and 7</span>

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2 years ago

Read 2 more answers

Help me!<br> what is the domain or range?

Lapatulllka [165]

Domain is [-10,∞)
2 is included , only at x=2 new function begins
Range is the values of y , so range is [-7]∪[-4,6
I think, it should be like this.

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3 years ago

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=41°, and SQ = 94 feet. Find the length of QR to the nearest tenth of a foot.

timama [110]

Answer:

124.6

Step-by-step explanation:

maths

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2 years ago