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3 years ago

Three numbers are in the ratio of 2:3:4 and their LCM are 240. Their HCF is?

Mathematics

1 answer:

Dmitrij [34]3 years ago

7 0

Answer:

20.

Step-by-step explanation:

Assign variables. The numbers acan be 2x, 3x and 4x. Then, LCM of 2x, 3x and 4x is 12x

12x = 240

(240/12) = x = 20

The HCF of 2x, 3x, and 4x is 20. (Because x is the highest common factor.)

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3 years ago

What is the average rate of change of the function f(x)=2(3)x from x = 2 to x = 4?

Umnica [9.8K]

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<u>SOLUTION: </u>

Given that, we have to find the average rate of change of the function f(x)=2(3)x from x = 2 to x = 4

Use the slope formula to find the average rate of change:

$\begin{array}{l}{m=\frac{y 2-y 1}{x 2-x 1}} \\\\ {m=\frac{f(4)-f(2)}{4-2}} \\\\ {m=\frac{f(4)-f(2)}{2}}\end{array}$

To simplify this, we need to find values of f ( 4 ) and f ( 2 ) :

$\begin{array}{l}{f(4)=2 x(3)^{4}=2(81)=162} \\\\ {f(2)=2(3)^{2}=2(9)=18} \\\\ {m=\frac{162-18}{2}} \\\\ {m=\frac{144}{2}} \\\\ {m=72}\end{array}$

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3 years ago

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Answer:

D. There is one outlier, indicating an abnormally large number of books were rented out on that day.

Step-by-step explanation:

We have been given a data set that shows the number of books checked out from a library during the first two weeks of the month.

Our given data set is: 99, 29, 30, 42, 35, 36, 30, 35, 38, 43, 39, 40, 28, 31.

Let us arrange our given data points in ascending order.

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We can see from our data set that it has one extreme large value outlier that is 99, which indicates that an abnormally large number of books were rented out on that day.

Therefore, option D is the correct choice.

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3 years ago

Three numbers are in the ratio of 2:3:4 and their LCM are 240. Their HCF is?​

Three numbers are in the ratio of 2:3:4 and their LCM are 240. Their HCF is?