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Ostrovityanka [42]

3 years ago

9

Hayleigh took a long multiple-choice, end-of-year math test. The ratio of the number of problems Hayleigh got incorrect to the n

umber of problems she got correct is 2:9. If Hayleigh missed 8 questions, how many did she get correct?

1 answer:

timurjin [86]3 years ago

8 0

Answer:

36

Step-by-step explanation:

If sh missed 8, then 8/2 is 4, 4x9 is 36

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Wendy needs to purchase 36 vases witch cost $3 each

Radda [10]

Answer:

12

Step-by-step explanation:

36 divided by three

6 0

3 years ago

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A fair number cube marked 1, 2, 3, 4, 5, and 6 is rolled. What is the chance that an even number will be rolled?

olchik [2.2K]

Answer:

50% or 1/2

Step-by-step explanation:

Chance is like probability, so the chance of rolling a even number out of 1, 2, 3, 4, 5, and 6 is half of them, they are 2, 4, and 6. In fraction form it is 1/2, and in percent form it is %0%. Hope this helps.

6 0

3 years ago

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A system has one each of two different types of components in joint operation. Let X and Y denote the random lengths of the live

RSB [31]

Answer:

The value of E(Y/X) is 2.

Step-by-step explanation:

As the complete question is not given, thus the complete question is found online and is attached herewith.

So the joint density function is given as

$f(x,y)=\left \{ {{\dfrac{x}{8}e^{-\dfrac{x+y}{2}} \,\,\,\,0 \leq x,0\leq y \atop {0}} \right.$

So the marginal function for X is given as

$f_x=\int\limits^{\infty}_0 {f(x,y)} \, dy\\f_x=\int\limits^{\infty}_0 \dfrac{x}{8}e^{-\frac{x+y}{2} }dy\\f_x=\int\limits^{\infty}_0 \dfrac{x}{8}e^{-\frac{x}{2}}e^{-\frac{y}{2} }dy\\f_x= \dfrac{x}{8}e^{-\frac{x}{2}}\int\limits^{\infty}_0e^{-\frac{y}{2} }dy\\f_x= \dfrac{x}{4}e^{-\frac{x}{2}}$

Now

$f(Y/X)=\dfrac{f(X,Y)}{f(X)}\\f(Y/X)=\dfrac{\dfrac{x}{8}e^{-\frac{x+y}{2} }}{\dfrac{x}{4}e^{-\frac{x}{2}}}\\f(Y/X)=\dfrac{1}{2}e^{-\frac{y}{2} }$

Now the value of E(Y/X) is given as

$E(Y/X)=\int\limits^{\infty}_0 {yf_{Y/X}} \, dy \\E(Y/X)=\int\limits^{\infty}_0 {y\dfrac{1}{2}e^{-\frac{y}{2} } }\, dy\\E(Y/X)=\dfrac{1}{2}\dfrac{\sqrt{2}}{(\dfrac{1}{2})^2}=2$

So the value of E(Y/X) is 2.

3 0

3 years ago

Find the third quartile. {2, 5 ,6, 7, 15, 16, 17}

marysya [2.9K]

Series = <span>{2, 5 ,6, 7, 15, 16, 17}

Here, Median = 7

Then Q3 = </span><span>{15, 16, 17}
Median of Q3 = 16

In short, Your Answer would be: 16

Hope this helps!</span>

7 0

3 years ago

Rewrite the function f(x)=2x^2-16x-15 in vertex form

Dmitry_Shevchenko [17]

Answer: y=2 (x-4)^2 -47

and the vertex is (4,-47)

Step-by-step explanation:

your welcome :)

8 0

3 years ago