Ava and her three friends went out for lunch. Their total bill was $96. If each person paid the same amount, how much would each person pay?

Answer:

Step-by-step explanation:

Let X be the RV we are talking about.

Expected value has different aliases, such as weighted average, mean, expectation, first moment and so on.

Okay, how do we calculate the average first, just sum all the values and divide by number of values. It comes from the basic assumption, which is choosing one of them is equally likely. What I mean by that is quite simple, above process what I talked about is just sum of the numbers times their probabilities. e.g. (a+b+c+d)/4 = a/4 + b/4 + c/4 + d/4. In the example, we assumed that probability of choosing any a, b, c and d is equally likely.

Then, why I use the term weighted average is the generalized situation of average, which is some of the numbers are repetitive. For instance, X can take the values a, b, c and d; however, X can take the value a 3 times more than d, X can take the value b 2 times more than d and c and d occurs with the same frequency at X, Therefore, if we take a sample, it is likely to be a, b, a, c, d, a, b or the permutation of this sample. Therefore the weighted average is 3 * a / 7 + 2 * b / 7 + c / 7 + d /7 or using normal average theorem (a + a + a + b + b + c +d) / 7. First, both of them are equal. Find the distribution and multiply the values with the probabilities of the distribution and sum them up or just add them and divide by number of sample. Second, if you check that, a has more weight, which means a can determine the direction of the average more. That is the logic behind the expected value.

Now, if X is a discrete RV (like in the above example), we know what we are going to do. What if X is a continuous RV ? X could take infinite values therefore if you divide a number with an infinite value, the probability of an individual value X could take is going to be 0. Therefore, we cannot calculate the expected value of chosen values individually; however, we can calculate the expected value of an interval by approximating with Riemann Sum or with a better choice, using integrals. Because, technically using Riemann Sum and quantizing the values and approximating the area of the curve is the same as we did above.

In conclusion, basically if X is a discrete RV and the values X could take is countably infinite,

If X is a discrete RV and the values X could take is finite,

if X is a continuous RV,

Answer:

Segment 4 cm is congruent

Answer:

0.34

Step-by-step explanation:

Considering the right-angled triangle XYW, an approximate ratio WY/WX is equal to 0.34. The correct option is A.

A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangle triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Considering the right-angled triangle XYW, we would apply the law of cosine to approximate the ratio WY/WX. Mathematically, the law of cosine is given by:

cos(θ) = Adj/Hyp

Where:

Adj is the adjacent side of a right-angled triangle.

Hyp is the hypotenuse of a right-angled triangle.

θ is the angle.

Substituting the given parameters into the formula, we have;

cos(θ) = WY/WX

cos(70) = 3.4/10

0.34 = 0.34.

Therefore, the correct option is A.

Read more on triangle ratio here:

brainly.com/question/26060091

#SPJ5

Answer:

The height is 11 in

Step-by-step explanation:

I think you mean triangle?

area of a triangle is A = 1/2 b h

fill in and solve for h

22 = 1/2 4 h

44 = 4h

11 = h

Answer:

f(x) = 1,024(0.50)x

Step-by-step explanation:

i just took the test :)

Answer:

Mean: 17,78

Step-by-step explanation

Add up all the numbers then divide by how many numbers there are

Basically divide by the count.

Answer:

74

Step-by-step explanation:

42+64=106

180-106=74

Answer:

100

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

Answer:

27,81, 243

Step-by-step explanation:

Answer:

59049

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Hillary is making a blanket for her mom.

Let the total blanket = 1

Three-fourths of the blanket is green and the rest is yellow.

The fraction for the rest(yellow portion) = 1 - 3/4

The Lowest Common Denominator is 4

Hence,

4 - 3 /4 = 1/4

Two-thirds of the yellow part has her name on it.

The fraction of the blanket that will have her name on it is calculated as

2/3 of 1 /4

= 2/3 × 1/4

= 1/6

Answer:

12

Step-by-step explanation:

1. Substitute each letter with the numbers given

3(14) + 3(10) / 6

42 + 30 = 72 / 6 = 12

Answer:

328 pies de largo

196.8 pies de ancho

Step-by-step explanation:

Ya que las medidas dadas estan en metros, podemos usar esas medidas para calcular la longitud y anchura en pies.

100 metros de largo.

60 metros de ancho.

Si sabemos que 1m es igual a 3,28 pies, simplemente tenemos que multiplicar las medidas en metros por 3.28 y nos va dar la medida del campo en pies.

100 * 3.28 = 328 pies de largo

60 * 3.28 = 196.8 pies de ancho

Answer:

Step-by-step explanation

+ \ x -

Answer:

hey so the angles in a triangle add up to 180°.

take your given angles away from that to find your 3rd angle

180-68-85-27°

angles on a straight line also add up to 180°

so you need to take 27 from 180 to find your answer

180-27=153°

Answer:

946 sq inches

Step-by-step explanation:

28*7=196

30*25=750

750+196=946 i think thats how you do it lol

(=^w^=)

Answer:

946

Hope this helps!!!!!! :)

Answer:

1,369 cm^2

Step-by-step explanation:

A square is a two-dimensional shape with four right angles and four equal sides.

This means each and every side is equal.

In this case, every side is 37 yards.

To find the area of a square, simply multiply a length of a side by itself.

Like this,

37⋅37 = 1,369.

Therefore, the area of the cornfield is 1,369 yards cm^2.

Answer:

3rd one

Step-by-step explanation:

It is the most reasonable answer

Answer:

D. 40 cups

Step-by-step explanation:

10÷2=5

5×8=40

She will use 40 cups of trail mix

Answer: The answer is A i think

Step-by-step explanation:

Answer:

m = -3/4

Step-by-step explanation:

Let's look at how much x and y change as we move from A to B:

x increases by 6, from -3 to 3, and y increases by 8, from 7 to 15.  Thus, the slope, m, is rise / run, or (change in y):  m = 8/6 = 4/3.

Now any line perpendicular to AB has a slope which is the negative reciprocal of this 4/3:  m = -3/4

Answer:

72 m

Step-by-step explanation:

The unit rate is

 16 m

----------- = 1.6 m/sec

 10 sec

and so, in 45 sec, Maria walks:

(1.6 m/sec)(45 sec) = 72 m

Hey there!

“Write 9 1/12 as a decimal”

9(12) + 1 / 12

9(12) = 108

108 + 1/ 12

108 + 1 = 109

109/12

109/12 = 9.083

Answer: 9.083

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Answer C: -5,0

Step-by-step explanation:

I'm probs way late, but there's your answer. Good luck to future exeminese!

(−4, 1)

I pretty sure its B so there you go

Answer:

Step-by-step explanation:

distance = [tex]\sqrt{(7-3)^2+(-2-2)^2[/tex] = [tex]\sqrt{16+16} = \sqrt{32}[/tex], which is approximately 5.65685

Answer:

5.7

Step-by-step explanation:

[tex] \sqrt{(2 + 2) {}^{2} + (3 - 7) {}^{2} } = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} = 4 \sqrt{2} = 5.7[/tex]

Answer:

220i

Step-by-step explanation:

v=length×width×height

Answer:

The peanut butter jar costs 1.60 cents

Step-by-step explanation:

Answer: 160=$1 and 60cents