Answer:
20 ft
Step-by-step explanation:
Since we assume the triangles are similar, therefore, the ratio of their corresponding sides will be the same.
Height of the bigger triangle corresponds to height of the person
Distance of the person from street light + shadow of the person corresponds to the length of the shadow of the person
Therefore, the ratio of the corresponding sides of the triangles would be:
Height of bigger triangle : height of the person = Distance of the person from street light + shadow of the person : length of the shadow of the person
Thus:
h : 6 = 28 + 12 : 12
h : 6 = 40 : 12
h/6 = 40/12
Cross multiply
12h = 40*6
12h = 240
Divide both sides by 12
12h/12 = 240/12
h = 20
Height of the street light = 20 ft
the probability that the sample mean will be smaller than m = 22 is 0.02275.
For the given question,
A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.
Here sample size, n = 4
mean, μ = 30
standard deviation, σ = 8
The probability that the sample mean will be smaller than m = 22 is
z = 
⇒ z =
⇒ z = 
⇒ z = 
⇒ z = -2
Refer the Z table for p value,
Thus for P(z < -2) is 0.02275.
Hence we can conclude that the probability that the sample mean will be smaller than m = 22 is 0.02275.
Learn more about probability of the sample mean here
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Answer:
150 minutes
Step-by-step explanation:
60 minutes in an hour. 120 minutes in two hours. 30 minutes in a half hour
The width and length of this rectangle are 3 7/12cm and 4 1/12cm respectively.
Hope this helped! ^v^
Answer:
n!/(s-a)^(n+1)
Step-by-step explanation:
The answer can be resolved using the process in the attached approach.
And assuming s>2