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qwelly [4]
3 years ago
8

Plz plz plz help me out!!

Mathematics
1 answer:
slava [35]3 years ago
6 0
Henry swims at 1.6 laps per minute, Larry swims at 1.8 laps per minute. Larry swims faster
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The shaded area is 299.59un^2.

8 0
3 years ago
About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil
Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0
3 years ago
Darryl earns $10 per hour tutoring students. if Darryl tutored for 25 hours this month, how much money did he earn this month​
Ksju [112]

Answer:

danny makes 250 per month

Step-by-step explanation:

8 0
3 years ago
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An ant crawls at a rate of 216 ft per minute. At this rate, how long does it take the ant to crawl a distance of 515 ft? Enter y
quester [9]
216 ft per minute or 3.6 ft per second 
515 divided by 216 is 2.38 
it takes 2.38 minutes for the specified ant to crawl 515 feet 

5 0
3 years ago
How can I solve for Y.<br> 5x+y=18
Korolek [52]
Y = -5x +18
x can be any number, y can be change due to x value

5 0
3 years ago
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