Can you help me with three questions? -2x + 3 -x + 4 -x

The Venn diagram shows the results of two events resulting from rolling a number cube.

gulaghasi [49]

Answer: $P(A\cap B)=\frac{1}{3}$

$P(A)=\frac{1}{3}$

$P(B)=1$

$P(A|B)=\frac{1}{3}$

Step-by-step explanation:

From the given figure it can be seen that

Total number on cube= n(S)=6

Intersection of A and B = n(A ∩ B)= 2

Therefore,

$P(A\cap B)=\frac{n(A\cap B)}{n(s)}=\frac{2}{6}=\frac{1}{3}$

Also, The number of elements in A = 2

Therefore,

$P(A)=\frac{n(A)}{n(s)}=\frac{2}{6}=\frac{1}{3}$

Similarly, The number of elements in B= 6

Therefore,

$P(B)=\frac{n(B)}{n(s)}=\frac{6}{6}=1$

The formula to find the conditional probability is given by :-

$P(A|B)=\frac{P(A\cap B)}{P(B)}\\\\\Rightarrow P(A|B)=\frac{\frac{1}{3}}{1}=\frac{1}{3}$

4 0

3 years ago

Read 2 more answers

Given f(x) = 4x + 2, find f-1(3).

Alexxandr [17]

Answer:

1/4

Step-by-step explanation:

The inverse function tells you the input value that corresponds to the given output value of the function.

<h3>Application</h3>

You want f^-1(3), which is the value of x such that f(x) = 3.

f(x) = 3 = 4x +2

1 = 4x . . . . . . subtract 2

1/4 = x . . . . . divide by 4

The inverse function of 3 is 1/4:

$\boxed{f^{-1}(3)=\dfrac{1}{4}}$

4 0

1 year ago

What is the value of n? <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2n-7%7D%7B3%7D%20%3D15" id="TexFormula1" title=" \fra

kirill [66]

$\frac{2n-7}{3}$ = 15

2n - 7 × 1 = 15 × 3

2n - 7 = 45

2n = 45 + 7

2n = 52

n = 26

Have a nice days.........

5 0

2 years ago

Which expression equals 6x − 5y + 2 − 8x + 3( y + 5)? A) 3x − 2y + 17 B) −3x + 2y + 17 C) −2x − 2y + 17 D) −2x − 2y − 17

inysia [295]

Answer:

C) −2x − 2y + 17

Step-by-step explanation (PEMDAS):

First, we do 3 (y + 5) because of the parenthesis:

6x − 5y + 2 − 8x + 3y + 15

Since there are no exponents, multiplication ,or division, we will add and subtract. But we have to make sure we combine like terms. X with X's, Y with Y's and constants with constants. And ALWAYS go from left to right

6x − 5y + 2 − 8x + 3y + 15

−2x − 5y + 2 + 3y + 15

−2x − 2y + 2 + 15

−2x − 2y + 17.

8 0

3 years ago

You have 15 pennies in your pocket. Of those pennies, 4 are Canadian. Suppose you pick a penny out of your pocket at random. Fin

vlada-n [284]

Answer:

11/15

Step-by-step explanation:

If 4 out of 15 are Canadian, the ratio of the probability of picking a Canadian is 4/15. That means that the probability of NOT picking a Canadian is the complement of 4/15 which is 11/15. Therefore, the probability of not picking a Canadian is the same thing as the probability of picking an American penny which is 11/15.

6 0

2 years ago

Can you help me with three questions? -2x + 3 -x + 4 -x - 19