Answer:
c= -18
Step-by-step explanation:
c+4c= -90
combine like terms
5c= -90
Divide by 5 on both sides
c= -18
Answer:
95% Confidence interval: (96.06,103.94)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 85
Sample mean,
= 100
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 11
95% Confidence interval:
Putting the values, we get,
(96.06,103.94) is the 95% confidence interval for the population mean test score.
The volume of the triangular prism is 66 cubic inches.
In order for us to know the volume of the triangular pyramid, first we need to know the ratio of the volume of triangular prism and the volume of the triangular pyramid.
Volume of the pyramid = 1/3 * volume of the prism.
Volume of the pyramid = 1 / 3 * 66
<span>Volume of the pyramid = 22 cubic inches.
</span>
So the volume of the triangular pyramid is 22 cubic inches.
Answer:
k=45
Step-by-step explanation:
Since the sum of the measures are 180 and the measures are 45 degrees, k degrees, and 2k degrees, we can conclude that
. 2k and k are like terms, so you can add 2k and k to get 3k.Then, you would have
. Since you are finding k, you want to isolate k as best you can. To do this, you subtract 45 on both sides
as shown by the equation, 180-45 is 135. Then, you divide 3 on both sides to get k=45.