Answer: D
Step-by-step explanation:
Answer:
0.85
Step-by-step explanation:
The given standard deviation of a population (σ) = 7.8
sample size (N) = 85
We have to find standard error of the mean.
The formula to find standard error of the mean
= (standard deviation of the distribution) / (square root of sample size)
= (σ) / (√N)
= 7.8 / (√85)
= 7.8 / 9.219544457
= 0.8460
= 0.85 (approximately taken to two decimal places)
We have got the required answer.
The standard error of the mean is 0.85.
Answer:
D. The graph of g (x) is the graph of f (x) translated 4 units down.
Explanation:
To show a translation left or right, we add or subtract a value to x before the function is applied. That is not what has happened to this function, therefore this was not a horizontal translation.
To show a translation up or down, we add or subtract a value at the end of a function. The function g(x) = f(x) - 4 subtracts 4 from the end of the function f(x); this means that the function has been translated down 4 units.
Answer:
x=37
Step-by-step explanation:
Since this is a right triangle, we can use Pythagorean theorem
a^2 +b^2 =c^2
12^2 +35^2 = x^2
144+1225= x^2
1369 = x^2
Take the square root
sqrt(1369) = sqrt(x^2)
37 = x