Answer:
P(A)=0.55
P(A and B)=P(A∩B)=0.1265
P(A or B)=P(A∪B)=0.7635
P(A|B)=0.3721
Step-by-step explanation:
P(A')=0.45
P(A)=1-0.45=0.55
P(B∩A)=?
P(B|A)=0.23
P(B|A)=(P(A∩B))/P(A)
0.23=(P(A∩B))/0.55
P(A∩B)=0.23×0.55=0.1265
P(A∪B)=P(A)+P(B)-P(A∩B)
=0.55+0.34-0.1265
=0.7635
P(A|B)=[P(A∩B)]/P(B)=0.1265/0.34 ≈0.3721
The algebraic representation of the expression ten minus one-third of number is 4 is 10 - 1/3x = 4
<h3>Algebra</h3>
ten minus one-third of number is 4
let
10 - 1/3x = 4
10 - 4 = 1/3x
6 = 1/3x
x = 6 ÷ 1/3
x = 6 × 3/1
x = 18
Therefore, the algebraic representation of the expression ten minus one-third of number is 4 is 10 - 1/3x = 4
Learn more about algebra:
brainly.com/question/723406
#SPJ1
Answer:
Shift 8 units up
Step-by-step explanation:
The given function is;
f(x)=x
and
g(x)=x+8
The function f(x) has its y-intercept at y=0.
The function g(x)=x+8 has its y-intercept at y=8
This implies that; the linear parent function f(x)=x is shifted up 8 units to obtain g(x)=x+8.
Answer:
If nobody walked on the moon, then Neil Armstrong didn't
Step-by-step explanation:
The contrapositive flips the sign of "Neil Armstrong" and the "moon," and also switches their position, so you will switch the hypothesis and conclusion as well
Answer:
9 green peppers and 3 red peppers
Step-by-step explanation:
Lupe's chili recipe makes 12 servings and uses green peppers = 12
Therefore, for 1 serving he uses = 
= 1 green pepper
He uses red peppers for 12 servings = 4
for 1 serving he uses = 
red pepper
∴ for 9 servings Lupe needs green pepper = 1 × 9 = 9 green peppers
and for 9 servings Lupe needs red pepper = × 9
= 
= 3 red peppers
Lupe needs 9 green peppers and 3 red peppers for 9 servings
