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4 years ago

Which exponential function has a growth factor of 1/2?

Mathematics

2 answers:

mario62 [17]4 years ago

4 0

Answer:

i got f(x) = 2(0.5x)

Step-by-step explanation:

lara [203]4 years ago

3 0

Where are the chooses?

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The diagrams show a quadrilateral ABCD. Is AB parallel to DC? you must give your reasoning.

Sati [7]

Answer:

yes AB is parallel to DC

Step-by-step explanation:

because AB and DC are lines which will never touch each other even if they go a long way they will not touch each other

6 0

3 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]

Y₁ and Y₂ 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(Y₁ > Y₂ | Y₁ < 2 Y₂) = P((Y₁ > Y₂) and (Y₁ < 2 Y₂)) / P(Y₁ < 2 Y₂)

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(Y₁ > Y₂ | Y₁ < 2 Y₂) = (1/6) / (2/3) = 1/4

5 0

3 years ago

Ken, the camp cook, makes 3 meals for every camper. The equation y= 3x shows the number of meals he makes, which depends on the

Natasha2012 [34]

Answer:

Step-by-step explanation:

I just took the quiz

4 0

3 years ago

Read 2 more answers

Evaluate composite functions

Vlada [557]

Answer:

Step-by-step explanation:

Step 1: Write out equation g(f(a))

1/√a

Step 2: Plug in 0.25 for a

1/√0.25

You answer should be 2

5 0

3 years ago

Two lengths are in ratio 7:8.if the first length is 273. What amount is the second length

Sergio [31]

Answer:

312

Step-by-step explanation:

Since the ratio is 7:8, mark it as 7x:8x.

Now, they said that the first length is 273. Solve the equation:

7x=273

x=39

Substitute it into 8x. 39*8=312. That's your answer.

PLS MARK BRANILIEST!!!

3 0

3 years ago