Answer:
The answer is below
Step-by-step explanation:
The mean (μ) = 3.7 m, standard deviation (σ) = 1.17 m, confidence (C) = 95% = 0.95, sample size (n) = 50
a) α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
The z score of α/2 is the same as the z score of 0.475 (0.5 - 0.025) which is 1.96. Hence:
The margin of error (E) = 
The confidence interval = μ ± E = 3.7 ± 0.32 = (3.38, 4.02)
b) This means that we are 95% sure that any distance between the taxi and the lead car is between 3.38 m and 4.02 m
25 coins because 50+20+5 = 75. Then divide 75 by 3 = 25. Each bag has 25 coins.
Hope that helps!!
From the function y=x^2-4x+7
to complete the square we proceed as follows:
The vertex form is given by:
y=(x-h)^2+k
where (h,k) is the vertex:
thus from the function we shall have:
y=x^2-4x+7
c=(b/2a)²
c=(4/2)²=4
thus adding an subtracting 4 in the expression:
y=x^2-4x+4-4+7
y=(x-2)^2+3
thus the vertex will be:
(2,3)
The answer is:
<span>D. Minimum at (2, 3)</span>
Since it is 25% all you would have to do is mutiply it by 4 to get 160. So in conclusion 160 is the answer.
You would now have to pay her $9.85
