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
Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
Answer:
10,972yd²
Step-by-step explanation:
the area of a triangle formula is base×height ÷ 2
104×211÷2 = 10972
(r + 10)(r - 4)
To double check:
r * r is r^2
10 * r = 10r; -4 * r = -4r
Combine to get 6r.
-4 * 10 = -40
