Step-by-step explanation:
using trig, tangent is equal to opposite over adjacent.
in this case, the angle is 45, opposite is 7, and adjacent is a.
thus tan 45° = 7/a
solve for a to get a = 7/tan 45° = 4.32
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Answer:
or
(they're the same)
Step-by-step explanation:
- Simplify:
- Find a common denominator. The LCM of 6 and 5 is 30, so multiply the numerator and the denominator by the same thing: 6 × 5 = 30, -9 × 5 = -45, 5 × 6 = 30, 3 × 6 = 18
- Write the new fractions:
- Subtract: -45/30 - 18/30 =
I hope this helps!
Answer:
The mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.
Step-by-step explanation:
We know the population mean and standard deviation, that has a bell-shaped distribution:

The sampling distribution, the distribution of the mean of samples of size n out of this population, will have the same mean as the population mean.

The standard deviation will be related to the population standard deviation and the sample size as:

Then, the mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.