Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
Answer:
Vertical distance between the valley and the summit = 8062.5 ft
Step-by-step explanation:
Distances above the sea level are denoted by positive notations and below the sea level by negative notation.
Summit of a mountain pass = 8050 (above the sea level)
Valley below the sea level = 12 and half ft = (-12.5) ft
Distance between the summit and the valley = 8050 - (-12.5)
= 8050 + 12.5
= 8062.5 ft
Therefore, Vertical distance = 8062.5 ft will be the answer.
1.5(x+40)-3=4.5(x-2) X=22
4(x+3)+5=109 X=23
3(x-8)=63 X=29
Really hope this helps because it took a while
Answer:
d) n = -5 and n = -3
Step-by-step explanation:
n²+8n+15=0
Step 1: Factor left side of equation.
(n+3)(n+5)=0
Step 2: Set factors equal to 0.
n+3=0 or n+5=0
n=−3 or n=−5
You can change the form of the number to scientific notation before or after you do the addition. Here, we see the sum will be less than 100 million tons, so we can convert to scientific notation before we do the addition without requiring extra steps. The total waste is the sum of the amounts of waste in the two years.
... 3.75×10⁷ + 3.04×10⁷ = (3.75 +3.04)×10⁷ = 6.79×10⁷ . . . tons
