Mathematics, 16.10.2020 05:01 kingalbyss1230

University degree requirements typically are different for Bachelor of Science degrees and Bachelor of Arts degrees. Some students get a Bachelor of Arts and Science degree, which requires meeting graduation criteria for both degrees. A student advisor needs to know the probability a newly admitted student is interested in such a program, so that the student can be properly advised. A study of previous years finds that the probability a student gets a Bachelor of Science degree is P(Science)=0.3 and the probability a student gets a Bachelor of Arts degree is P(Arts)=0.6 . The study also shows that the probability a student gets no degree is P(no)=0.2 . A - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.3.
b) 0.6.
c) 0.1.
d) 0.2.
B - The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is:
a) 0.9.
b) 0.3.
c) 0.6.
d) 0.8.
C - The probability a student gets only a Bachelor of Arts degree is:
a) 0.1.
b) 0.5.
c) 0.3.
d) 0.6.
D - The probability a student gets a Bachelor of Arts and Science degree is:
a) 0.5.
b) 0.1.
c) 0.3.
d) 0.2.
E - If getting a Bachelor of Science degree is independent of getting a Bachelor of Arts degree, the probability of getting a Bachelor of Arts and Science degree is:
a) None of the answer options are correct.
b) 0.18.
c) 0.1.
d) 0.2.

Answers: 3

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Answers

Answer from: Pitts1971

(A) c) 0.1

(B) a) 0.9

(D) b) 0.1

(E) b) 0.18

Step-by-step explanation:

Given;

P(science) = 0.3

P(Arts) = 0.6

P(no degree) = 0.2

(A) The probability a student gets a Bachelor of Arts and Science degree;

= 1 - [P(science) + P(Arts)]

= 1 - (0.6 + 0.3)

= 1 - 0.9

= 0.1

(B) The probability a student gets a Bachelor of Arts degree or a Bachelor of Science degree is

= P(Science) + P(Arts)

= 0.3 + 0.6

= 0.9

= P(Arts ) - P(Science and Arts)

= 0.6 - 0.1

= 0.5

(D) The probability a student gets a Bachelor of Arts and Science degree is:

1 - [P(science) + P(Arts)]

= 1 - (0.6 + 0.3)

= 1 - 0.9

= 0.1

(E) Independent case

= P(Science) and P(Arts)

= 0.3 x 0.6

= 0.18

Answer from: Quest

step-by-step explanation:

these are your clues: 1. kim ran 18 races2. this was four fewer races than twice thenumber, notice it says twice the number, so you would do the equation 18x2-4; which equals the number 32.thus, 32 is your answer.

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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