Answer:
D. (142886, 196914).
Step-by-step explanation:
To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.
The formula for Confidence Interval =
C.I = Mean ± t score × standard deviation/√n
n = 5 samples
Degrees of freedom = n - 1 = 5 - 1 = 4
The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776
Hence,
Confidence Interval =
169,900 ± 2.776 × 21,756/√5
169,900 ± 2.776 × 9.7295789837
169, 900 ± 27009.311259
Confidence Interval
169,900 - 27009
= 142886
169, 900 + 27009.311259
= 196914
Hence, the confidence interval = (142886, 196914)
Option D is the correct answer
Answer:
OPTION C
Step-by-step explanation:
If SOLUTION A has 4 cups then SOLUTION B has 2. If SOLUTION A has 8 then SOLUTION B has 4.
Note that for every 2 cups of Solution A, we have 1 cup of Solution B.
So, OPTION A is incorrect.
If there are 4 cups of Solution A, then there are 4 + 2 cups in total.
That means the ratio of cups of SOLUTION A to the total number of cups is:
4 : 6 = 2 : 3
Similarly, 8 : 12 = 2 : 3
And, 12 : 18 = 2 : 3
And, 16 : 24 = 2 : 3
So, we see that the ratio is 2 : 3.
Therefore, OPTION C is the correct answer.
Answer: Linear 201.4
Example:
Answer:
y=-5/2x-1
Step-by-step explanation:
change the equation to slope intercept form
y=-5/2x+6
graph the point (-2, 4)
use the slope of the equation to find the y intercept
y intercept = -1
write equation of the parallel line using the same slope of the first line
-5/2x
and the y intercept of the new parallel line -1
y=-5/2x-1