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3 years ago

Please help me on this question! Thank You!

Mathematics

2 answers:

GaryK [48]3 years ago

5 0

Answer:

the first one should be 23 but I don't know about the other one sorry

Zolol [24]3 years ago

4 0

Y=6.75 inches and X=2.25 inches

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Warm-up

fenix001 [56]

Answer:

10=(5x0.75)+6

Step-by-step explanation:

you'll still have 25¢ however

4 0

3 years ago

Four times the product of x and y decreased by 2xy

son4ous [18]

You just need to put words into an equation.
4xy-2xy
Then simplify it to get 2xy

5 0

3 years ago

Let X and Y be random variables with the following joint moment generating function: M_{X,Y}(s,t)=0.1+0.2e^s+0.3e^t+0.4e^{s+t}

MA_775_DIABLO [31]

We obtain the joint PMF directly from the joint MGF:

$M_{X,Y}(s,t)=0.1+0.2e^s+0.3e^t+0.4e^{s+t}$

$\implies\mathrm{Pr}[X=x,Y=y]=\begin{cases}0.1&\text{for }x=y=0\\0.2&\text{for }x=1,y=0\\0.3&\text{for }x=0,y=1\\0.4&\text{for }x=y=1\\0&\text{otherwise}\end{cases}$

Then

$\mathrm{Pr}[X=Y]=\mathrm{Pr}[X=Y=0]+\mathrm{Pr}[X=Y=1]=0.1+0.4=\boxed{0.5}$

8 0

3 years ago

A company has 200 machines. Each machine has 12% probability of not working.

Eduardwww [97]

1) This probability is given by

... C(40,5)·0.12⁵·0.88³⁵ ≈ 0.18665 . . . . . where C(n, k) = n!/(k!(n-k)!)

2) This probability is given by

... 0.88⁴⁰ ≈ 0.00602

3) This is the complement of the probability that all have failed.

... 1 - 0.12⁴⁰ ≈ 1.0000

4 0

3 years ago

One of the sides of an equilateral triangle is 32. What is the height of the triangle? Round to 2 decimal places.

Ilya [14]

So because it's an equilateral triangle, you can cut the triangle in half and make a right triangle with a hypotenuse of 32. The bottom of the triangle would be half of 32, which is 16, because you cut the triangle in half. Now you can use the pythagorean theorem to solve for the height.

$16^{2} +b^{2} =32^{2}$

The answer is whatever b is:

b = $\sqrt{ 32^{2} - 16^{2}$

So your answer is 27.713.

7 0

3 years ago