Answer:

Step-by-step explanation:


Used PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
First Power, next Addition
When it doesn’t look like a U anymore and is upside down
Looking at an equation than when x is negative
Answer:

Step-by-step explanation:
Given that alpha and beta be conjugate complex numbers
such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}.
Let

since they are conjugates


Imaginary part of the above =0
i.e. 
So the value of alpha = 
Answer:
We conclude that the Pennsylvania school district have an IQ higher than the average of 101.5
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 101.5
Sample mean,
= 106.4
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 15
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis.
Thus, we conclude that the Pennsylvania school district have an IQ higher than the average of 101.5
76 cm,
(4•10=40)+((10-4)•6)= 76 units