Answer:
There are 220 ways by which the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal
Step-by-step explanation:
From the question, we have;
The number of gymnast in the Olympic women's competition = 15
The number of the gymnast who are Americans = 4
The number of medals awarded = 3 medals
The number of ways hat the medals can be awarded to the three of the gymnast if exactly one of the Americans wins a medal is given as follows;
The number of ways one of the medals can be won by one of the four Americans = ₄C₁ = 4 ways
The number of ways the other two medals can be won by the remaining 11 gymnast = ₁₁C₂ = 55 ways
Therefore, the total number of ways, 'N', the medals can be awarded to three of the 15 gymnast, if exactly one of the Americans wins a medal is given as follows;
N = ₄C₁ × ₁₁C₂
∴ N = 4 × 55 = 220
Cindy is 72 inches long. Imagine it like a right triangle. Her shadow is the base, she is the side, and the distance between her head and the end of the shadow is the diagonal line connecting the two. Use the Pythagorean theorem to find how tall cindy is.
a²+b²=c² a=21, the length of the shadow
b= ? cindy's height
c= 75, the distance from her head to the edge of the shadow
21²+ b²=75²
441 +b² = 5625
-441 -441
------ -------
0 5184
b² = 5184
√b² =√5184
b= 72
hope it helps
Answer:
The number of Bactria after 5.8 hours is 12242.
Step-by-step explanation:
The number of bacteria in a refrigerated food product is given by
where, T is the temperature of the food.
When the food is removed from the refrigerator, then the temperature is given by
We need to find the composite function N(T(t)).
where N(T(t)) is the number of bacteria after t hours.
Substitute t=5.8 in the above function.
Therefore, the number of Bactria after 5.8 hours is 12242.
Answer:
3rd choice
Step-by-step explanation:
Add 6 to both sides to get 5x >= 15, or x >=3. This is the 3rd choice.
