Supplementary means that the angles have to add up to 180, so you have your equation.
180=5x+17x-18
198=22x
x=9
Then to find the measures of the angles, you plug x back in.
m∠ABD=5(9)=45 degrees
m∠BDE=17(9)-18=153-18=135 degrees
Answer: 5/6 inch/minute
Whenever you are working with a question of rate where two different quantities are being compared, the required units will indicate which quantity is to be divided by which.
In this case you want to know inches per minute.Therefore:
5
8
inches
÷
3
4
minute
5
8
÷
3
4
=
5
8
×
4
3
←
multiply by the reciprocal
=
5
8
2
×
4
3
=
5
6
Answer:
Option (B) a 95% confidence interval does not include the hypothesized value of the parameter
Step-by-step explanation:
Alpha, α = 0.05
We conduct a hypothesis test at 5% significance level.
The null hypothesis will be rejected when
Option (B) a 95% confidence interval does not include the hypothesized value of the parameter
- When a 95% confidence interval is constructed,it contains all the possible values for the parameter being estimated.
- If the value of the parameter stated in the null hypothesis is contained in the 95% confidence interval, then we fail to reject the null hypothesis 0.05 level and accept it.
- If the value stated in the null hypothesis is not in the interval, then we fail to accept the null hypothesis and reject the null hypothesis at the 0.05 level.
X=-2 I’m pretty sure that’s the answer! :)