Sam sharpens pencils for his after school job. He can sharpen 26 pencils in 6 minutes. If he keeps this rate, how many pencils c
1 answer:
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Answer:
0.0359
Step-by-step explanation:
Data provided:
mean values of three independent times are 15, 30, and 20 minutes
the standard deviations are 2, 1, and 1.6 minutes
Now,
New Mean = 15 + 30 + 25 = 65
Variance = ( standard deviation )²
or
Variance = 2² + 1² + 1.6² = 7.56
therefore,
Standard deviation = √variance
or
Standard deviation = 2.75
Thus,
Z-value =
or
Z-value = - 1.81
from the Z-table
the Probability of Z ≤ -1.81 = 0.0359
Answer:
10.14 feet per year.
Step-by-step explanation:
Given:
Over the next 3 1/2 years, a tree grew to a final height of 35 1/2 feet.
Question asked:
During those 3 1/2 years, what was the average yearly growth rate of the height of the tree?
Solution:
We can find the average yearly growth rate by using average formula, taking
final height of the tree as sum of observation and time span taken to growth as number of observation:-
As we know:
Thus, during , the average yearly growth rate of the height of the tree was 10.14 feet per year
Answer:
B. 30
Step-by-step explanation:
y ∝ x or y = k ⋅ x or k = ; k is constant of variation.
y = 24 ; x = 8 ∴ k = = 3 ∴ y = 3 x. So When x = 10 ; y = 3 ⋅ 10 = 30
y = 30