Answer: b=14.7
Step-by-step explanation:
Answer:
The standard deviation for the sample mean distribution=0.603
Step-by-step explanation:
We are given that
Mean,
Standard deviation,
n=44
We have to find the standard deviation for the sample mean distribution using Central Limit Theorem for Means.
Standard deviation for the sample mean distribution
Using the formula
Hence, the standard deviation for the sample mean distribution=0.603
You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:
5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625
so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625
x = log₅ 5⁻⁴
log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:
x = -4 is your answer
if the exponent dropping down doesn't make sense to you, you can think of it in another way:
x = log₅ 5⁻⁴
expand the expression so that the exponent moves in front of the log function:
x = (-4) log₅ 5
then, still, log base 5 of 5 simplifies to 1, so you're left with:
x = (-4)1 or x = -4
Answer:
c
Step-by-step explanation:
The answer would be 42 degrees because the total of a triangle is 180 degrees. So you would subtract 180 and 42 (180-42) and that gives you 138 and since the two angles that are touching are the same
