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cestrela7 [59]
2 years ago
11

Marcus asked 10 people at a juggling festival what age they were when they started to juggle

Mathematics
1 answer:
Scrat [10]2 years ago
6 0

Question

Marcus asked 10 people at a juggling festival what age they were when they started to juggle. Which interval contains the median age?

Answer:

See Explanation

Step-by-step explanation:

Given

n = 10

Required

The median interval

The question is incomplete, as the required data is not given.

To solve this question, I will use the following assumed dataset.

Age:17\ 17\ 18\ 20\ 21\ 22\ 22\ 24\ 28\ 28

First, calculate the median position.

Median = \frac{n+1}{2}\ th

Median = \frac{10+1}{2}\ th

Median = 5.5\ th

This implies that the median is the mean of the 5th and 6th data

So, we have the interval to be.

Median = [5th, 6th]

Median=[21,22]

<em>Generally, the median of 10 data set is located at interval 5 to 6</em>

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Step-by-step explanation:

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3 years ago
To simplify the following expression, which operation would you complete second?
Bingel [31]
Divide, the first operation is the parentheses and then division
3 0
2 years ago
Can someone help me understand Inverses for algerbra???
Anna007 [38]

Answer:

An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x.

Step-by-step explanation:

The inverse function returns the original value for which a function gave the output. ... A function that consists of its inverse fetches the original value.

Example : f(x) = 2x + 5 = y. Then, g(y) = (y-5)/2 = x is the inverse of f(x).

8 0
2 years ago
BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time. A test is conducted by randomly selectin
Strike441 [17]

Answer:

0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either they arrive late, or they do not. The probability of a flight arriving late is independent of any other flight. This means that the binomial probability distribution is used 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.

BlueSky Air has the best on-time arrival rate with 80% of its flights arriving on time.

This means that 100 - 80 = 20% are late, which means that p = 0.2

Randomly selecting 16 BlueSky Air flights

This means that n = 16

What is the probability that 2 flights of BlueSky Air arrive late?

This is P(X = 2).

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

P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.211

0.211 = 21.1% probability that 2 flights of BlueSky Air arrive late

6 0
3 years ago
For a Cosine function with amplitude =0.75 and period =10 , what is y(4) ?
frez [133]

We need to find a cosine function:


y(x)=acos(bx) \\ \\ where: \\ \\ \left|a\right|=Amplitude \\ \\ Period=\frac{2\pi}{b}


The amplitude represents half the distance  between the maximum and minimum values of the function and the period goes from the x-value of one peak to the x-value of the next one. Therefore:


a=0.75 \\ \\ b=\frac{2\pi}{10}=\frac{\pi}{5}


Finally:


\boxed{y(x)=0.75cos(\frac{\pi}{5}x)}


And y(4) is:


y(4)=0.75cos(\frac{\pi}{5}\times 4) \\ \\ \therefore \boxed{y(4)=-0.60}

4 0
3 years ago
Read 2 more answers
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