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3 years ago

13

You jog 2 kilometers in 12 minutes. At this rate, how long will it take you to complete a 5 kilometer race, when using ratios an

d rates.

2 answers:

natta225 [31]3 years ago

3 0

2km/12min = 5km/xmin

5 * 12 = 2 * x
60 = 2x
x = 30 min

QveST [7]3 years ago

3 0

30 minutes because 12+12=24 and the last kilometer will take 6 minutes because 6 is half of 12 so 24+6=30

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Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?

Savatey [412]

Answer: (2, 18)

Step-by-step explanation:

When x=2, $f(2)=2(3)^{2}=18$ .

So, it should pass through (2, 18).

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1 year ago

Hi can anybody tell me the answer please

Dmitriy789 [7]

Answer:

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3 years ago

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According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth wh

nirvana33 [79]

Answer:

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.

This means that $p = 0.267$

What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

10 individuals, so n = 10.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.267)^{0}.(0.733)^{10} = 0.0448$

$P(X = 1) = C_{10,1}.(0.267)^{1}.(0.733)^{9} = 0.1631$

$P(X = 2) = C_{10,2}.(0.267)^{2}.(0.733)^{8} = 0.2673$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0448 + 0.1631 + 0.2673 = 0.4752$

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

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3 years ago

How many pounds.are in 96 ounces

Kryger [21]

Because we know that there are 16 ounces in a pound, we can just divide the number of ounces (96) by 16 to find out the equivalent number of pounds. 96/16 = 6 Therefore, 96 ounces is equal to 6 pounds. Hope this helps! :)

7 0

3 years ago

Read 2 more answers

Misha Larkins [42]

Answer:

x= 44 cm

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3 years ago