Answer= 36.75
3.75x 8 = 30
2.25x3= 6.75
6.75+30=36.75
Hi there!

Use the following equation to solve:

Solve for the y-values of the equation at the given x values:
f(1) = 1² - 4(1) + 10 = 7
f(5) = 5² - 4(5) + 10 = 15
Plug the solved values into the equation:

Simplify:

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.
Answer: 25
Assuming the dotted line touches the middle of the base of the triangle,
Using Pythagoras Theorem,
(30/2)^2 + (20)^2 = x^2
x^2 = (15)^2 + 400
x^2 = 625
x = √625 or -(√625)
x = 25 or -25
But since x needs to be a positive value,
x = 25
Answer:
All of them are polynomials except c.
Step-by-step explanation:
Polynomials are in the form:

You can see here there are no extra symbols like square root, cube root, absolute value, and so on on the variable x...
We also don't have division by a variable. All the exponents are whole numbers.
a) While it has a square root, it is not on a variable so a is a polynomial. The exponents on the variables are whole numbers.
b) b is a polynomial also because all the exponents are whole numbers.
c) This is not a polynomial because there is a square root on a variable.
d) This is a polynomial. All the exponents are whole numbers.