Answer:
Craig's collection increased by 20%.
Step-by-step explanation:
Original amount: 10
New amount: 12
To find the percent increase, we first need to find how much Craig's record collection increased by. To do this, subtract the old amount from the new amount:
12 - 10 = 2
The amount his collection increased by is 2. To find the per cent increase, divide 2 by the original amount of records:

Convert the decimal into a percentage:
0.20 * 100 = 20%
The percent increase of Craig's record collection is 20%.
What do we know about those two lines?
They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)
For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]
So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A
Answer:
The 95% confidence interval for the population proportion is (0.778, 0.884).
Step-by-step explanation:
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.831.
The standard error of the proportion is:

The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 95% confidence interval for the population proportion is (0.778, 0.884).
Answer: The most amount of cupcakes she can buy is 16.
Step-by-step explanation: 1.50 multiplied by 16 equals 24
Answer:
d. 60k
Step-by-step explanation:
The sample mean is the midpoint between the lower and the upper limit of the confidence interval, that is, the sum of the lower and the upper limit divided by 2.
In this problem, we have that:
Lower limit: 50k
Upper limit: 70k
(50k + 70k)/2 = 60k
So the correct answer is:
d. 60k