Answer:
H0 : u = 8500
H1 : u > 8500
Step-by-step explanation:
Given:
sample size, n = 350
mean, u = 8500
Sample mean, x' = 8745
Standard deviation = 1,200
Level of significance = 0.05
In this case, the financial administrator believes that the average cost of tution, room and board at small liberal arts colleges is higher than the reported $8500. We can say this is the alternative hypoyhesis, since it is a claim.
The null hypothesis would be the opposite of the alternative hypothesis.
Therefore, the null and alternative hypotheses are:
H0 : u = 8500
H1 : u > 8500
Answer:
10
Step-by-step explanation:
Since it's a right angle, it's already 90 degrees. So, you add 48 + 32 which gives you 80. 80 minus 90 equals 10.
48 + 32 = 80
90 - 80 = 10
A. The base angles are congruent
Answer:
Step-by-step explanation:
We first need to find the slope of the given line. Putting that standard form of a line into slope intercept:
12y = -3x - 6 so

In this form we can easily determine that our slope is -1/4. That means that the perpendicular slope, the opposite reciprocal, is +4. We will write first the point slope of the new line using our given point, then solve it for y, putting it into slope-intercept form. y - (-7) = 4(x - (-1)) and
y + 7 = 4x + 4 so
y = 4x + 4 - 7 so
y = 4x - 3
Answer:
Volume: 8x1x12=96 inches^3
Surface area: 8x1x2=16
1x12x2=24
8x12x2=192
the total surface is: 16+24+192=232 inches^2