Answer:
Step-by-step explanation:
Use proportions to solve.
Corresponding sides have same ratio.
<u>Question 1</u>
- (6x + 3)/17 = (8x - 1)/21
- 21(6x + 3) = 17(8x - 1)
- 126x + 63 = 136x - 17
- 10x = 80
- x = 8
<u>Question 2</u>
- (x + 8)/21 = 32/28
- x + 8 = 21*8/7
- x + 8 = 24
- x = 24 - 8
- x = 16
Answer:
E(Y) = $0.5
Var(Y) = 14.25
you should pay the same amount $0.5
Step-by-step explanation:
E(Y) = = Σ(YP)
P = probability of each outcomes.
Var(Y) = Σ
p − (μ x μ)
E(Y) = (2 x 0.25) +(6 x 0.25) + (0.5 x (-3)) = $0.5
Var(Y) = (
x 0.25) + (
x 0.25) +(
x 0.5) - (
)
= 14.5 - 0.25
Var(Y) = 14.25
for the difference between the payoff and cost of playing to have mean 0, you should pay the same amount $0.5
Answer:
quadratic functions have a vertex
150 * 8 = $1,200
150 / 2 = $75
$1,200 + $75 = 1275
Answer:
21/100
Step-by-step explanation:
Letters: ABCDEFGHIJ 10 letters
Vowels: AEI 3
P (vowel)= vowels/ total = 3/10
No replacement ( assume the letter taken was a
Letters: BCDEFGHIJ 9 letters
Consonants : BCDFGHJ 7 letters
P(constant) = 7/10
P(vowel, no replacement, consonant) =P (vowel)*P(constant)
=3/10*7/10
=21/100