The formula for the volume of a cone is V= πr² (h/3).
V= 3.14 (12²) (8/3)
V= 3.14 (144) (2.6...)
V= 1205.76
V≈ 1206
So the answer is A.
Question
During one waiters shift he delivered 13 appetizers, 17 entrées, and 10 desserts what percentage of the dishes he delivered were: A. Desserts B. Appetizers C. entrees
Answer:
A)Desserts = 25 %
B)Appetizers = 32.5 %
C)Entrées = 32.5 %
Step-by-step explanation:
<u>Given:</u>
Number of appetisers = 13
Number of entrees = 17
Number of desserts = 10
<em><u>A. percentage of the dishes he delivered were Desserts</u></em>
Percentage of Desserts = ![\frac{\text{ Number of dessert}}{\text{ total number of dishes}} \times 100](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B%20Number%20of%20dessert%7D%7D%7B%5Ctext%7B%20total%20number%20of%20dishes%7D%7D%20%5Ctimes%20100)
Total number of dishes = 13 + 17 + 10 = 40
Percentage of Desserts = ![\frac{10}{40} \times 100](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B40%7D%20%5Ctimes%20100)
Percentage of Desserts = ![0.25 \times 100](https://tex.z-dn.net/?f=0.25%20%5Ctimes%20100)
Percentage of Desserts = 25 %
<em><u>B. percentage of the dishes he delivered were Appetizers </u></em>
Percentage of Desserts = ![\frac{\text{ Number of Appetizers }}{\text{ total number of dishes}} \times 100](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B%20Number%20of%20Appetizers%20%20%7D%7D%7B%5Ctext%7B%20total%20number%20of%20dishes%7D%7D%20%5Ctimes%20100)
Percentage of Desserts = ![\frac{13}{40} \times 100](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B40%7D%20%5Ctimes%20100)
Percentage of Desserts = ![0.325 \times 100](https://tex.z-dn.net/?f=0.325%20%5Ctimes%20100)
Percentage of Desserts = 32.5 %
<em><u>C. percentage of the dishes he delivered were Entrées </u></em>
Percentage of Desserts = ![\frac{\text{ Number of Entrees }}{\text{ total number of dishes}} \times 100](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B%20Number%20of%20Entrees%20%7D%7D%7B%5Ctext%7B%20total%20number%20of%20dishes%7D%7D%20%5Ctimes%20100)
Percentage of Desserts = ![\frac{17}{40} \times 100](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B40%7D%20%5Ctimes%20100)
Percentage of Desserts = ![0.425 \times 100](https://tex.z-dn.net/?f=0.425%20%5Ctimes%20100)
Percentage of Desserts = 42.5 %
Can u take a better picture
Answer:
1st=1 real # solution
2nd=1 real # solution
3rd=1 real number solution
Step-by-step explanation:
b^2-4ac=0 has 1 real number solution
For a fair coin,
Probability of a head, P(H) = 1/2 = 0.5
Probability of a tail , P(T) = 1/2 = 0.5
The number of possible outcomes is small enough to simply list the outcome:
The possible outcomes of flipping a coin 7 times and getting heads 6 times are these 7 possibilities:
THHHHHH
HTHHHHH
HHTHHHH
HHHTHHH
HHHHTHH
HHHHHTH
HHHHHHT
The probability of EACH of the above outcomes is
= (0.5)(0.5)(0.5)(0.5)(0.5)(0.5)(0.5)
= (0.5)⁷
Since there are 7 possibilities and since the probabilities of every outcome is identical, the probability of rolling the 7 outcomes is,
= 7 x probability of each outcome
= 7 x (0.5)⁷
= 0.5468
= 5.468%
= 5.5% (nearest tenth)