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Zarrin [17]
3 years ago
13

in equivalent ratios,if the numerator of the first ratio is greater than the denominator of first ratio, is the numerator of the

second ratio greater than denominator?
Mathematics
1 answer:
fiasKO [112]3 years ago
3 0

Yes. The ratios should both have the numerator greater than the denominator.

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Suppose a NBA basketball player has 5% chance of picking up a foul every minute he plays. What is the probability that he will p
alukav5142 [94]

Answer:

He wont foul out with probability 0.9093

Step-by-step explanation:

The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.

Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus

P(X \leq 4) = P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4) \\= 0.95^{48}+48*0.95^{47}*0.05+{48 \choose 2}*0.95^{46}*0.05^2+\\{48 \choose 3}*0.95^{45}*0.05^3+{48 \choose 4}*0.95^{44}*0.05^4 \\= 0.085+0.215+0.266+0.215+0.127 = 0.9093

As a consecuence, he wont foul out with probability 0.9093.

8 0
3 years ago
Line d has a slope of 3/2. Line e has a slope of -2/3. Are line d and line e parallel or
Ksivusya [100]

Answer:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect

6 0
3 years ago
Given the circle with the equation (x - 3)2 + y2 = 49, determine the location of each point with respect to the graph of the cir
Svetllana [295]
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The city has a section of land that is 3,694.7 feet long. The city wants to partition this lengths to form 10 equal-sized garden
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Step-by-step explanation:

Each plot is 1/10 of the total length, so has length ...

  (3694.7 ft)/10 = 369.47 ft

5 0
3 years ago
Dean and his friends went to Aqua World Water Park, where they floated down the Lazy River for 1 2 of an hour. This was 1 4 of t
Kisachek [45]
1/2 of an hour is 30 minutes
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So, 30 minutes x 4 would be 120 minutes or 2 hours which means they spent 2 hours at the water park
3 0
2 years ago
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