Answer:
2.5
Step-by-step explanation:
I used the process of elimination :
For A and B, you can't have a negative number since it is a positive correlation
For C, 1 as a slope isn't reasonable
Given:
Sample mean = 65.4
Standard deviation = 1.2
Sample size = 45
Confidence level = 99%
To find:
The confidence interval.
Solution:
The formula for confidence interval is

where,
is sample mean, z* is confidence value, s is standard deviation and n is sample size.
Confidence value or z-value at 99% = 2.58
Putting the given in the above formula, we get




Therefore, the correct option is D.
Answer:
2% gain
Step-by-step explanation:
We assume the shopkeeper bought the appliances at the indicated prices, and that gain is computed on the basis of that cost price.
Since the base cost is the same for each appliance, the percentages can be added directly to find the percentage gain on 8000. However, the shopkeeper's total outlay was 16000, not 8000, so the final gain percentage is half of that total.
gain percent = (-4% + 8%)/2 = 2%
_____
If you want to see the actual numbers:
Loss on VCR = 4% × 8000 = 320.
Gain on TV = 8% × 8000 = 640.
Total gain on 16000 is -320 +640 = 320. As a percentage, that is ...
320/16000 × 100% = 2%
Given the center
and the radius
of a circle, its equation is

In your case, the center is (-4,0), and the radius is 2. Plug these values into the generic formula and you'll get the equation.
Answer:
12
Step-by-step explanation:
For this question, simply plug in -2 for x:

Hope this helps!!