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3 years ago

3. Look for a pattern to determine the next two numbers in the list. Show your work. (5 points)

Mathematics

1 answer:

EleoNora [17]3 years ago

3 0

Answer:

The sequence is subtracting 12 each time. The next two numbers would be 152, and 140

Step-by-step explanation:

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Consider the function c(x)=(x+3) (x-5)2 what are the zeros of c(x)

vekshin1

Answer:

The zeroes would be -3 and a double root at 5.

Step-by-step explanation:

We can find this by first expanding the function.

c(x) = (x + 3)(x - 5)^2

c(x) = (x + 3)(x - 5)(x - 5)

Then we can solve for the zeroes by setting each parenthesis equal to 0 and solving.

x + 3 = 0

x = -3

x - 5 = 0

x = 5

x - 5 = 0

x = 5

8 0

2 years ago

Why is it important to rename 4 1/4 if you subtract 3/4 from it

zavuch27 [327]

Because 3 2/4 would be the answer when you subtract it and most teachers and/or tests want you to simplify the answer which would be 1/2 because you would divide the numerator and denominator by 2.

4 0

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]

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

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2 years ago

Noah picked 3 kilograms of cherries. Mai picked half as many cherries as Noah. How many total kilograms of cherries die Mia and

Angelina_Jolie [31]

it would be 4.5 total

6 0

3 years ago

What is 67,234.63992 rounded to the nearest thousandth

GuDViN [60]

67,234.63992 to the nearest thousandth is 67,234.64.

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3 years ago

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