Answer:
a: 0.9544 9 within 8 units)
b: 0.9940
Step-by-step explanation:
We have µ = 300 and σ = 40. The sample size, n = 100.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.9544
Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find
P(289 < x < 311)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(289 < x < 311) = 0.9940
Answer:$9.75
Step-by-step explanation:
When multiplying fractions, multiply straight across:
(-3/7) (6/5) =
(-3 * 6) / (7*5)=
-18/35
The answer is B.
Given -
Two Similar Prism with
H1 = 35 mm
H2 = 30 mm
To Find -
The ratio of volume of Prism =?
Step-by-Step Explanation -
We know the formula for the volume of Prism = B × H
Where
B = Base Area pf Prism
H = Height of the prism
Since we have given two similar prisms that means their base area are same.
So,
The ratio of volume of Prism = B×H1/B×H2
= H1/H2
= 35/30
= 7/6
Final Answer -
The ratio of volume of Prism = 7/6
Blank 1 = 7
Blank 2 = 6