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
Answer:
Hypotenuse≈
Step-by-step explanation:
≈
to calculate this you would need to find the square root of the first leg squared added to the second leg squared.
the hypotenuse is the longest side of the triangle
Answer:
20 m
Step-by-step explanation:
Given that :
Scale of 1 : 50 is used to make a model
If the model has a height of 40 cm ; the height of the house is:
Then, the actual height of the house is (40 * 50) = 2000 cm
Thus the height of the house in metre is :
100cm = 1 meter
2000 cm = 2000 / 100
2000 cm = 20 meter
Height of house in meter = 20 meter
Answer:
x = 6
Step-by-step explanation:
- Subtract 8 from both sides of the equation
- Simplify
- Subtract the numbers
- Divide both sides of the equation by the same term
- Simplify
- Cancel terms that are in both the numerator and denominator
- Divide the numbers
-4x/7 > 10
Multiply both sides by 7:
-4x > 70
Divide both sides by -4"
x > 70 / -4
Simplify the fraction:
70/-4 = 35 / -2
Because the fraction is negative you need to reverse the inequality sign:
x < -35/2
The answer is the first one: {x|x < -35/2}
