Answer:
You taught for 4 hours
Step-by-step explanation:
Let this number of hours be x. Then:
Total earned = $20 + ($8/hr)x
Equate this to $52 and then solve the resulting equation for x:
20 + 8x = 52
Then 8x = 32, and x = 4. You taught for 4 hours.
Answer:
(-6,3) and (-4,-5) are the solutions to the system
Step-by-step explanation:
The solution to a system of equations are the point(s) where the graphes intersect. On the graph is a linear function and an exponential. Because of the curve in the exponential, the graph has two solutions at (-6,3) and (-4,-5).
Answer:
The probability that more than half of the sample would vote for him is P=0.7549.
Step-by-step explanation:
With a sample size of n=300, we can approximate this to the normal distribution.
The parameters will be

We have to calculate the probability that half or more of the sample vote for him. This is P(x>150).
To calculate this probability, first we calculate the z-value:

Then

The probability that more than half of the sample would vote for him is P=0.7549.
Answer:
2√(3) or -2√(3) or 2i or -2i
Step-by-step explanation:
All the steps are in the photo I attached
(I forgot about negative side, sorry)
Answer:
45
Step-by-step explanation:
Let's call the missing side x
This is a right triangle and in right triangles the square length of hypotenuse is equal to sum of square length of base and side lengths
53^2 = 28^2 + x^2
x = 45