Answer:
(3.75, 3.5)
Step-by-step explanation:
The weighting factors for the weighted average of the end points are the reverse of the length ratios.
For a 1 : 3 split, the first point is weighted by a factor of 3; the second point is weighted by a factor of 1. The weighted sum is divided by the total of the weights.
(3(3, 2) +1(6, 8))/(3+1) = (9+6, 6+8)/4 = (3.75, 3.5)
Answer:
x = 6
Step-by-step explanation:
Tangent - Secant Power Theorem: 18^2 = 12(21 + x)
324 = 252 + 12x
72 = 12x
x = 6
Answer:
(0.806, 0.839)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
Suppose we take a poll (random sample) of 3653 students classified as Juniors and find that 3005 of them believe that they will find a job immediately after graduation.
This means that 
99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The answer is (0.806, 0.839)
First use distributive property on -3(t+5), which would be -3t minus -15.
Then, add all like terms: -3t-15+4t+2 ---> -3t+4t+2-15 --> t-13.
t-13=8, add 13 to both sides. This cancels the -13 and makes 8 to 21.
Therefore, t=21
So from 1150 to 230 lbs of flour remaining...
The percentage decrease was by
percentage decrease = ((b-a)/b)*100
b is the original value
a is the other value
p= ((1150-230)/1150)*100
p = (920 /1150) * 100
p = (0.8) * 100
p = 80
The percentage decrease is 80% from 1150 to 230 lbs of flour.
Hope this helps :)