Answer:
b) (156.7, 167.3).
Step-by-step explanation:
Sample size (n) = 16 restaurants
Mean coffee temperature (X) = 162 degrees
Standard deviation (s) = 10 degrees
degrees of freedom (n-1) = 15
t-score for a 95% confidence interval (t) = 2.131415
Assuming a normal distribution, the confidence interval is given by:

The lower (L) and upper (U) bounds of the confidence interval are:

The confidence interval is b) (156.7, 167.3).
To work out the simplest form follow these steps.
1) Divide the smallest number by the largest.
1.04 divided 0.26 = 4
2) So the simplified form would be
4:1
Nut A does not fit on Bolt A.
Bolt A is the exact same as Bolt B.
So it follows that Nut A will not fit Bolt B.
Answer:
Cost of Television = $294
Step-by-step explanation:
7% discount means 7/100 = 0.07 LESS
So we need to multiply by 1 - 0.07 = 0.93
Also, 10% MORE, or extra, means 10/100 = 0.10 MORE
So we need to multiply by 1 + 0.10 = 1.1
Let cost of television be "c", so we can say:
- 7% discount would mean cost to be c(0.93) = 0.93c
- 10% with interest would mean cost to be c(1.10) = 1.10c
The difference is 49.98. So we subtract lower value (0.93c) from larger value (1.10c) and equate to 49.98 and solve for c:

Cost of Television = $294