G (x) = x + 1 (fog) (x) = x 2 + 3x + 1 ⇒ (fog) (x) = x 2 + 3x + 1 ⇒ f (g (x)) = x 2 + 3x + 1 ⇒ f (x + 1) = x 2 + 3x + 1 Eg x + 1 = p, then x = p - 1. ⇒ f (p) = (p - 1) 2 + 3 ( p - 1) + 1 ⇒ f (p) = p 2 - 2p + 1 + 3p - 3 + 1 ⇒ f (p) = p 2 + p - 1 So f (x) = x 2 + x - 1 - ->
ANSWER IS : x 2 + x - 1
Answer:
Yes, result is significant ; PVALUE < α
Step-by-step explanation:
Given :
x = 536
n = sample size = 1012
Phat = x / n = 536 / 1012 = 0.5296 = 0.53
H0 : P0 = 0.5
H1 : P0 > 0.5
Test statistic :
(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]
1-P0 = 1 - 0.5 = 0.5
(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]
0.03 ÷ 0.0157173
= 1.9087
Pvalue :
Using the Pvalue from test statistic :
Pvalue = 0.02815
To test if result is significant :
α = 0.05
0.02815 < 0.05
Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.
Answer:
x<25
Step-by-step explanation:
Let's solve your inequality step-by-step.
2.4x−9<1.8x+6
Step 1: Subtract 1.8x from both sides.
2.4x−9−1.8x<1.8x+6−1.8x
0.6x−9<6
Step 2: Add 9 to both sides.
0.6x−9+9<6+9
0.6x<15
Step 3: Divide both sides by 0.6
0.6x/0.6 < 15/0.6
x<25
Answer:
8 hours
Step-by-step explanation:
1. Subtract value of tips she got that day
87.05 - 50.25 = 36.8
36.8 is the actual payment for her job that day
2. Divide 36.8 with paid/hour (4.6)
36.8 ÷ 4.6 = 8 hours
