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3 years ago

Please help me with this geometry question image attached

Mathematics

1 answer:

vodomira [7]3 years ago

4 0

15/17. The value (ratio) of cos A is 15/17.

The trigonometric ratios of an acute angle are, basically, the sine, the cosine and the tangent. They are defined from an acute angle, α, of a right triangle, whose elements are the hypotenuse, the leg contiguous to the angle, and the leg opposite the angle.

-The sine of the angle is the opposite leg divided by the hypotenuse.

-The cosine of the angle is the adjacent leg divided by the hypotenuse.

-The tangent of the angle is the opposite leg divided by the adjacent leg or, which is the same, the sine of the angle divided by the cosine of the angle.

cos A = adjacent leg/hypothenuse = BC/AC = 15/17

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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

I need this to be explained and have the answer thanks I AM BEGGING YOU!!!!!!!!!!!!

Firdavs [7]

Answer:

Store A has a better deal because $402.90 is less than $404.10.

Step-by-step explanation:

<u>Store A</u>

The $25 off coupon reduces the price to ...

$499 - 25 = $474

The discount from this amount is 15%, so is ...

$474 × 0.15 = $71.10

The final amount paid is then ...

$474.00 -71.10 = $402.90

(<em>Side note</em>: you can select the correct answer at this point, because only one answer shows this value.)

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<u>Store B</u>

After the $20 off coupon, the price is ...

$469 -20 = $449

The additional 10% discount amounts to ...

$449 × 0.10 = $44.90

So, the final price is ...

$449.00 -44.90 = $404.10

___

Now, you know that Store A offers the better price because $402.90 is less than $404.10.

6 0

3 years ago

YA'LL I REALLY NEED HELP !!!!!! Which ordered pair is a solution to the system of inequalities? y ≤ x and y ≤ –2

pochemuha

Answer: C. (2, -4)

Step-by-step explanation:

Take into consideration that y is less than or equal to -2. The only option in which the y value is less than or equal to -2 is option C., thus C would correctly solve the system of inequalities.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=5%5E%7B-3%7D" id="TexFormula1" title="5^{-3}" alt="5^{-3}" align="absmiddle" class="latex-form

AveGali [126]

Answer:

the equivalent equation of

$5^{-3}$ = $\frac{1}{5^{3}}=\frac{1}{125}$

5 0

3 years ago

Suppose one bag contains 500 cubic inches of confetti. How many bags will Student Government need to fill 100 containers? If the

Vanyuwa [196]

The number of bags that they will need if each bag contains 500 cubic inches of confetti is 20,000

<h3>How to find the total volume ?</h3>

One bag contains 500 cubic inches of confetti.

Therefore,

1 bag = 500 inches³

The student need to fill 100 containers with the bag.

Each container can accomodates 100,000 cubic inches.

Therefore,

1 bag = 500 inches³

100,000inches³ = 1 container = 200 bags

Therefore,

100 containers will contain 20, 000 bags of confetti.

learn more on volume here: brainly.com/question/10224096

5 0

2 years ago