A ramp is being used to unload the back of a truck. The bottom of the ramp is 12 feet from the truck and the top of the ramp is
lying on the back of the truck. If the back of the truck is 5 feet high, which of the following equations can be used to find the length of the ramp? 52 + b2 = 122 , 122 + b2 = 52, 52 + 122 = c2
2 answers:
Answer:
The correct option is 3. The required equation is .
Step-by-step explanation:
It is given that the bottom of the ramp is 12 feet from the truck and the back of the truck is 5 feet high.
Let the length of the ramp be c feet.
The given information forms a right angled triangle. Where bottom of the ramp from the truck is base, height of the back of the truck is perpendicular and length of ramp is hypotenuses.
Base = 12 feet
Perpendicular = 5 feet
Hypotenuses = c feet
Using Pythagoras theorem,
The required equation is .
Therefore option 3 is correct.
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Solution :
Given :
Sample mean,
Sample size, n = 129
Sample standard deviation, s = 8.2
a. Since the population standard deviation is unknown, therefore, we use the t-distribution.
b. Now for 95% confidence level,
α = 0.05, α/2 = 0.025
From the t tables, T.INV.2T(α, degree of freedom), we find the t value as
t =T.INV.2T(0.05, 128) = 2.34
Taking the positive value of t, we get
Confidence interval is ,
(32.52, 35.8)
95% confidence interval is (32.52, 35.8)
So with confidence of the population of the mean number of the pounds per person per week is between 32.52 pounds and 35.8 pounds.
c. About of confidence intervals which contains the true population of mean number of the pounds of the trash that is generated per person per week and about
that doe not contain the true population of mean number of the pounds of trashes generated by per person per week.