2 I don’t think that’s something you should be asking help on
Answer:
The p value for this case would be given by:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG
Step-by-step explanation:
Information given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, the statistic is given by
(1)
Replacing we got:
The p value for this case would be given by:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG
Answer:
23.92°, 78.503°, and 77.577°
Step-by-step explanation:
The coordinates of the vertices of the triangle are;
X(-3, -5), Y(2, 6), Z(6, 3)
The vectors are;
z = =
y = =
x = =
Therefore, we get;
α = arccos(0.91490) ≈ 23.92°
γ = The angle between -y and x
-y =
We get;
Therefore;
γ = arccos(0.199309) ≈ 78.503°
γ ≈ 78.503°
By angle sum property, β = 180° - (α + β)
β ≈ 180° - (23.92° + 78.503°) = 77.577°
β ≈ 77.577°
The interior angles are;
23.92°, 78.503°, and 77.577°
Answer: Plotting this equation will result in a straight line.
This is because x and y are without exponents, and it doesn't matter in what for the equation is. It can be in standard for, slope-intercept form, or point slope form. This is in standard form.
To make this easier, you can plot this equation into a graphing calculator, like desmos (online), and write down this equation in the bar just to see the result
(x+-0.5) (x+-0.5) = -41.75 so therefore, x = -41.75