Could you show the circle so we can solve this? we can’t solve it if you don’t show the area of the circle.
Answer:
a. m/6
b. k-9 (don't get confused with k less than nine)
c. 2x
d. 2x+4
e. n/7
f. (a+b)/4
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Answer:
The hypotenuse of a right triangle is 4m longer than the shorter leg and 2m longer than the longer leg. What are the lengths of the sides?
Just for variety, consider the hypotenuse = h, the short leg h-4 and the long leg h-2.
c^2 = a^2 + b^2; so h^2 = (h-4)^2 + (h-2)^2; h^2 = h^2 - 8h + 16 +h^2 -4h +4;
h^2 -12h +20 = 0 factors to (h - 10)(h - 2) = 0 so h = 2 or h = 10
Since (h - 2) = (2 - 2) = 0 and a triangle cannot have a side of zero length, 10 is the length of the hypotenuse.
h^2 = (h-4)^2 + (h-2); 10^2 = (10-4)^2 + (10-2); (10)^2 = (6)^2 + (8)
The hypotenuse is 10 cm, short leg 6 cm and long leg 8 cm.
The approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds is 0.4880 ⇒ A
Step-by-step explanation:
To find the probability of a random variable X which has a normal distribution do that
- If X < b, find the z-score using the formula z = (b - μ)/σ, where μ is the mean and σ is the standard deviation
- Use the normal distribution table of z to find the corresponding area to the left of z-score
∵ The 200 meter race times at a state track meet are normally
distributed with mean of 13.56 seconds and a standard deviation
of 2.24 seconds
∴ μ = 13.56
∵ σ = 2.24
- We need to find the probability that a runner chosen at random
will have a 200 meter time less than 13.5 seconds
∵ X < 13.5
∴ b = 13.5
- Find z-score
∵ 
- Use the normal distribution table to find the area corresponding to z
∵ The corresponding area of z ≅ -0.03 is 0.4880
∴ P(x < 13.5) = 0.4880
The approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds is 0.4880
Learn more:
You can learn more about the probability in brainly.com/question/4625002
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