Answer:
12.5
Step-by-step explanation:
square root of 10^2 - 8^2 = 6 gives us missing side
sin^-1(8/10) = 53.13 gives us half of the angle
90-53.13 = 36.869 gives us the angle of the triangle on the right
tan(36.869) x 6 = 4.5
4.5 + 8 = 12.5
Hope that helps,
Good Luck! x
1856x^2 - 6032x + 4176 hope it helps if you dont understand ask me anything!
There are three ways to create a sample space for a compound event.
1) Ordered List: The events can be written as a list.
2) Table: A table is a way to representing the sample space of a compound event and it does so very clearly.
3) Tree Diagram: A tree diagram shows the events of a sample space as the leaves of the tree diagram.
Answer:
Decision: Support the null hypothesis.
Sample mean: -12
Step-by-step explanation:
Hello!
When deciding with a Confidence interval you have to keep in mind that the following conditions are met:
- The hypothesis and the interval are made for the same parameter.
- The hypothesis should be two-tailed.
- The interval and the test have to have complementary confidence and signification levels. This means that if the interval is made with 1 - α= 0.95 the hypothesis test should be made with α= 0.05.
H₀: μ₁ - μ₂= 0
H₁: μ₁ - μ₂≠ 0
α: 0.05
If the interval contains the cero, it means that there is no difference between the means, so you support the null hypothesis.
If the interval doesn't contain the cero, there is a difference between the two means, so you reject the null hypothesis.
The intervals to estimate the population mean have the following structure:
Estimator ± Margin of error
This means that the sample mean (point estimate of the population mean) is in the middle of the calculated interval. To know it's the value you have to do a simple calculation:
sample mean: 
sample mean: 
sample mean: -12
I hope it helps!
Answer:
b = 4
Step-by-step explanation: