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iVinArrow [24]
2 years ago
12

ASAP Can someone plz help me

Mathematics
2 answers:
Wewaii [24]2 years ago
5 0
The answer is B. I did the math and the student would use up 220 milliliters. Subtract that from 400 milliliters (0.4 liter) and you get 180 milliliters. Hope this helps in time.
Reil [10]2 years ago
3 0
B. I hope this helps!
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Write and simplify an expression for the volume of a rectangular prism with length ℓ m, width 5 m, and height 6.5 m. What is the
Dominik [7]

Step-by-step explanation:

V= 32.5ℓ (m^3)

when ℓ= 8.4 m , V= 273 m^2

4 0
1 year ago
Let X and Y be discrete random variables. Let E[X] and var[X] be the expected value and variance, respectively, of a random vari
Ulleksa [173]

Answer:

(a)E[X+Y]=E[X]+E[Y]

(b)Var(X+Y)=Var(X)+Var(Y)

Step-by-step explanation:

Let X and Y be discrete random variables and E(X) and Var(X) are the Expected Values and Variance of X respectively.

(a)We want to show that E[X + Y ] = E[X] + E[Y ].

When we have two random variables instead of one, we consider their joint distribution function.

For a function f(X,Y) of discrete variables X and Y, we can define

E[f(X,Y)]=\sum_{x,y}f(x,y)\cdot P(X=x, Y=y).

Since f(X,Y)=X+Y

E[X+Y]=\sum_{x,y}(x+y)P(X=x,Y=y)\\=\sum_{x,y}xP(X=x,Y=y)+\sum_{x,y}yP(X=x,Y=y).

Let us look at the first of these sums.

\sum_{x,y}xP(X=x,Y=y)\\=\sum_{x}x\sum_{y}P(X=x,Y=y)\\\text{Taking Marginal distribution of x}\\=\sum_{x}xP(X=x)=E[X].

Similarly,

\sum_{x,y}yP(X=x,Y=y)\\=\sum_{y}y\sum_{x}P(X=x,Y=y)\\\text{Taking Marginal distribution of y}\\=\sum_{y}yP(Y=y)=E[Y].

Combining these two gives the formula:

\sum_{x,y}xP(X=x,Y=y)+\sum_{x,y}yP(X=x,Y=y) =E(X)+E(Y)

Therefore:

E[X+Y]=E[X]+E[Y] \text{  as required.}

(b)We  want to show that if X and Y are independent random variables, then:

Var(X+Y)=Var(X)+Var(Y)

By definition of Variance, we have that:

Var(X+Y)=E(X+Y-E[X+Y]^2)

=E[(X-\mu_X  +Y- \mu_Y)^2]\\=E[(X-\mu_X)^2  +(Y- \mu_Y)^2+2(X-\mu_X)(Y- \mu_Y)]\\$Since we have shown that expectation is linear$\\=E(X-\mu_X)^2  +E(Y- \mu_Y)^2+2E(X-\mu_X)(Y- \mu_Y)]\\=E[(X-E(X)]^2  +E[Y- E(Y)]^2+2Cov (X,Y)

Since X and Y are independent, Cov(X,Y)=0

=Var(X)+Var(Y)

Therefore as required:

Var(X+Y)=Var(X)+Var(Y)

7 0
3 years ago
Please help me on this question! ​
Fofino [41]

Answer:

L = √(5² + 10² + 7²) = √174 in

Step-by-step explanation:

6 0
2 years ago
Q1. An airplane flies with a constant speed of 600 miles per hour. How far can it travel in 3 1/2 hours?
Dahasolnce [82]

Answer:

Q1. 1050 miles

Q2. 1h 30m

Step-by-step explanation:

Q1. 1h = 300 miles

3\frac{1}{2}h = 3.5 × 300 miles

     = 1050 miles

Q2. 68km = 1h

102km = \frac{102}{68} × 1h

           = 1.5h

           = 1h 30m

5 0
3 years ago
What is the domain of the graph ?
Lelechka [254]
The domain of the graph is [2≤x≤5] (answer choice B)
6 0
3 years ago
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