Answer:
The volume is decreasing at the rate of 1.396 cubic inches per minute
Step-by-step explanation:
Given
Shape: Cone
--- rate of the radius
--- rate of the height


Required
Determine the rate of change of the cone volume
The volume of a cone is:

Differentiate with respect to time (t)

Substitute values for the known variables









The volume is decreasing at the rate of 1.396 cubic inches per minute
Hey there!
The opposite of the square root of 25 is -5, and this is an <u>integer and a rational number and a real number.</u>
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Hope it helps and have a great day!
Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

Therefore, the inequalities in the system of linear inequalities are
and
.
Answer:
1) p1=0.83
2) p2=0.81
3) Option B
4) p=0.82
5) s=0.03
6) z=0.67
7) P=0.50
8) Do not reject H0
Step-by-step explanation:
1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

4) The pooled estimate of a proportion is the average of both proportions:

5) The standard error can be calculated as:

6) The z-statistic can be calculated as:

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.
There is not enough evidence to say that both proportions are different.
A. Do not reject H0