Answer:
θ = 30°
Angle of elevation is 30°
Step-by-step explanation:
Given;
Height of wall w = 10 ft
Length of ramp l = 20 ft
Angle of elevation = θ
Applying trigonometry;
Sinθ = opposite/hypothenuse
Where;
Height of wall w = opposite (it's opposite the angle of elevation)
Length of ramp l = hypothenuse
Sinθ = w/l
θ = arcsine (w/l)
Substituting the values;
θ = arcsine (10/20)
θ = arcsine (0.5)
θ = 30°
Angle of elevation is 30°
Answer:
32
Step-by-step explanation:
if he has 32 and brought 8 thats a total of 40 because 32+8=40, then if the fire burned half of the boxes 40/2 = 20
C would be the correct answer. You caanot multiply just one part of an equation, you must multiply the whole thing. All of the other steps follow this rule, so C is an incorrect step, and is therefore the correct choice.
Hope this helps!
Answer:
There is an 84% probability that your standard refrigerator will last between 12 and 20 years.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
A standard refrigerator's mean life expectancy is 18 years with a standard deviation of 2 years. This means that .
What is the probability that your standard refrigerator will last between 12 and 20 years?
This probability is the pvalue of Z when subtracted by the pvalue of Z when . So
X = 20
has a pvalue of 0.8413
X = 12
has a pvalue of 0.0014
This means that there is a 0.8413-0.0014 = 0.8399 = 0.84 = 84% probability that your standard refrigerator will last between 12 and 20 years.
The answer is −0.9880316241