Answer:
59 meters
Step-by-step explanation:
A=L*W
165=L*22
L=165/22=7.5
7.5=L
P=L+L+W+W
7.5+7.5+22+22=59
Answer:
We conclude that the plant should shut down.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 60
Sample mean,
= 61.498
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 6
a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.
We use One-tailed(right) z test to perform this hypothesis.
b) Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.
Calculating the p-value from the z-table:
P-value = 0.0063
Since,
P-value < Significance level
We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.
The answer would be 8+14 because there are 4 sides not 2
Answer:
tanother way of writing this is the cube root of3x+5
Answer:
The highest point reached by the firework is approximately 30.6 meters
Step-by-step explanation:
The upward velocity of the fireworks is given as 24.5 m/s
The equation of projectile motion for an object fired vertically upwards can be written as follows;
v² = u² - 2·g·s
Where;
v = The final velocity of the motion = 0 m/s at maximum height
u = The final velocity of the motion = 24.5 m/s
g = Acceleration due to gravity = 9.81 m/s²
s = The height reached = (The highest point reached by the firework)
By substituting the values, we have;
(0 m/s)² = (24.5 m/s)² - 2 × 9.81 m/s² × s
Which gives;
2 × 9.81 m/s² × s = (24.5 m/s)² = 600.25 m²/s²
19.62 m/s² × s = 600.25 m²/s²
s = 600.25 m²/s²/(19.62 m/s²) = 30.594 m ≈ 30.6 meters
The highest point reached by the firework is approximately 30.6 meters