will is making a scale drawing of an airplane . the air plane has a 100 foot wingspan and is 50 feet long. his drawing if the ai
1 answer:
Answer: 5 inches.
Step-by-step explanation:
Let be "x" the length of the airplane (in inches) in Will's drawing.
The first step to solve this exercise is to find the scale factor.
Since the airplane has a 100 foot wingspan and in his drawing the airplane has a wingspan of 10 inches, you get that the scale factor is:
Finally, knowing the scale factor and knowing that the airplane is 50 feet long, you can multiply this lenght by the scale factor in order to find the length of the airplane (in inches) in Will's drawing.
This is:
Its lenght in Will's drawing is 5 inches.
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Answer:
a)0.6192
b)0.7422
c)0.8904
d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
Step-by-step explanation:
Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then
z(p)= where
- Me is the margin of error from the mean
- s is the standard deviation of the population
- N is the sample size
a.
z(p)= ≈ 0.8764
by looking z-table corresponding p value is 1-0.3808=0.6192
b.
z(p)= ≈ 1.1314
by looking z-table corresponding p value is 1-0.2578=0.7422
c.
z(p)= ≈ 1.6
by looking z-table corresponding p value is 1-0.1096=0.8904
d.
Minimum required sample size for 0.95 probability is
N≥ where
- N is the sample size
- z is the corresponding z-score in 95% probability (1.96)
- s is the standard deviation (50)
- ME is the margin of error (8)
then N≥ ≈150.6
Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.
Step-by-step explanation:
the equation is y=8
check the image above
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