Help plz I need help

A student must choose exactly two out of three electives: art, French, and mathematics. He chooses art with probability 5/8, Fre

miskamm [114]

Answer:

The probability of choosing mathematics =P(M)= $\frac{3}{4}$

The probability that he chooses either art or French=1

Step-by-step explanation:

We are given that a student must choose exactly two out of three elective subjects : art ,french and mathematics.

The probability of choosing art= $\frac{5}{8}$

The probability of choosing french = $\frac{5}{8}$

The probability of choosing French and art= $\frac{1}{4}$

Let A ,F and M denotes the students of art,french and mathematics.

$P(A)=P(A\cap M)+P(A\cap F)$

$P(A\cap F)+P(A\cap M)=\frac{5}{8}$

$P(F\cap M)+P(F\cap A)=P(F)=\frac{5}{8}$

Probability of choosing mathematics only=0

Probability of choosing French only =0

Probability of choosing art only =0

Probability of choosing all three subjects =0

$P(M)=P(M\cap A)+P(M\cap F)$

$P(A\cap F)=\frac{1}{4}$

Substitute the value then we get

$P(A\cap M)=\frac{5}{8}-\frac{1}{4}==\frac{3}{8}$

$P(F\cap M)=\frac{5}{8}-\frac{1}{4}=\frac{3}{8}$

Therefore, $P(M)=P(A\cap M)+P(F\cap M)=\frac{3}{8}+\frac{3}{8}=\frac{6}{8}=\frac{3}{4}$

Hence, the probability of choosing mathematics =P(M)= $\frac{3}{4}$

$P(A\cup F)=P(A)+P(F)-P(A\cap F)$

$P(A\cup F)=\frac{5}{8}+\frac{5}{8}-\frac{1}{4}$

$P(A\cup F)=\frac{5+5-2}{8}=1$

Hence, the probability that he chooses either art or French=1

5 0

2 years ago

james recently installed a new pool in his backyard the pool is 20 ft long 15 feet wide and 5 ft deep, what is the volume

mixer [17]

20 x 15 x 5 = 1500 ft³

8 0

3 years ago

A survey was sent to GCA students asking the question "Who is your favorite teacher?" (Just FYI - Mrs. Parker received the most

elena-s [515]

1. Qualitative

2. Quantitative

3. Quantitative, continuous data

4. Quantitative, discrete data

5. Quantitative, continuous data

5 0

3 years ago

-0.75-(-2/5)+0.4+(-3/4)

RSB [31]

-0.75-(-2/5)+0.4+(-3/4) = -0.7 simplified, how I got this answer can be found below in 16 steps.

1 - First thing we want to do is remove the parentheses.

-0.75 - (-2/5) + 0.4 - 3/4

2 - Then we simplify, multiply -1 by -1.

-0.75 + 1 (2/5) + 0.4 - 3/4

3 - Then multiply 2/5 by 1.

-0.75 + 2/5 + 0.4 - 3/4

4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.

-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4

5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.

-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4

6 - Then we multiply 5 by 1.

-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4

7 - Then we combine the numerators over the common denominator.

-0.75*5+2/5+0.4-3/4

8 - We multiply -0.75 by 5.

-3.75 + 2/5 + 0.4 - 3/4

9 - Then we add -3.75 and 2.

-1.75/5+0.4-3/4

10 - And then we divide -1.75 by 5.

-0.35 + 0.4 - 3/4

11 - Then add -0.35 and 0.4.

0.05 - 3/4

12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.

0.05/1 * 4/4 - 3/4

13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.

0.05 * 4/4 - 3/4

14 - We combine the numerators over the common denominator.

0.05 * 4 - 3 / 4

15 - We simplify.

-2.8 / 4

16 - Then we divide -2.8 / 4

The final answer is -0.7

6 0

2 years ago

HELP PLS

aleksandrvk [35]

So this is a lot of work but ghe answers are (fix)

4 0

2 years ago

Read 2 more answers