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3 years ago

3x -4y = 5

Mathematics

1 answer:

kherson [118]3 years ago

5 0

Step-by-step explanation:

You would eliminate the terms with the y variables.
You would use addition because you are trying to eliminate y to find the value of x.

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There are 210210210 students in a twelfth grade high school class. 909090 of these students have at least one sister and 1051051

BlackZzzverrR [31]

Answer:

(1) The value of P (A) is 0.4286.

(2) The value of P (B) is 0.50.

(3) The value of P (A ∩ B) is 0.2143.

(4) The the value of P (B|A) is 0.50.

(5) The events A and B are independent.

Step-by-step explanation:

The events are defined as follows:

A = a student in the class has a sister

B = a student has a brother

The information provided is:

N = 210

n (A) = 90

n (B) = 105

n (A ∩ B) = 45

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

The conditional probability of an event X provided that another event Y has already occurred is:

$P(X|Y)=\frac{P(A\cap Y)}{P(Y)}$

If the events X and Y are independent then,

$P(X|Y)=P(X)$

(1)

Compute the probability of event A as follows:

$P(A)=\frac{n(A)}{N}\\\\=\frac{90}{210}\\\\=0.4286$

The value of P (A) is 0.4286.

(2)

Compute the probability of event B as follows:

$P(B)=\frac{n(B)}{N}\\\\=\frac{105}{210}\\\\=0.50$

The value of P (B) is 0.50.

(3)

Compute the probability of event A and B as follows:

$P(A\cap B)=\frac{n(A\cap B)}{N}\\\\=\frac{45}{210}\\\\=0.2143$

The value of P (A ∩ B) is 0.2143.

(4)

Compute the probability of B given A as follows:

$P(B|A)=\frac{P(A\cap B)}{P(A)}\\\\=\frac{0.2143}{0.4286}\\\\=0.50$

The the value of P (B|A) is 0.50.

(5)

The value of P (B|A) = 0.50 = P (B).

Thus, the events A and B are independent.

6 0

3 years ago

A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the pl

BaLLatris [955]

There is only two multiples of three on a six-sided die, the 3 side, and the 6 side.

3 x 20 = 60
6 x 20 = 120
120 + 60 = 180

$180.00 is your possible winnings total, but the question asks for your expected value on EACH roll, so you divide 180 by 6(sides on a die) to get your final answer

180/6 = 30

ANSWER: D. $30.00

5 0

2 years ago

Read 2 more answers

An 8 foot long piece of 2 by 4 wood is used to prop up a fence if the 2 by 4 makes 30 degree angle with the ground how high abov

dybincka [34]

Answer:

Step-by-step explanation:

H (height the 2x4 contact the fence)

sin 30° = H / 8

1 /2 = H / 8

H = 1/2 * 8 = 4