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3 years ago

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Mathematics

1 answer:

emmasim [6.3K]3 years ago

4 0

Answer:

The greatest common factor of 42, 60 and 78 is 6.

Step-by-step explanation:

The given numbers are : 42, 60 and 78

On Prime Factorization of the given terms, we get:

42 = 2 x 3 x 7

60 = 2 x 2 x 3 x 5

78 = 2 x 3 x 13

The common factors to all these three terms is 2 x 3 = 6

Hence, the greatest common factor of 42, 60 and 78 is 6.

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What is the volume of a cube that measures 0.6 m on each edge?

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4 years ago

Read 2 more answers

A probability model includes P(red) = 27 2 7 and P(blue) = 314 3 14 . Which of the following probabilities could complete the mo

Ivahew [28]

Answer:

$(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}$

$(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}$

Step-by-step explanation:

Given

$P(Red) = \frac{2}{7}$

$P(Blue) = \frac{3}{14}$

Required

Which completes the model

Let the remaining probability be x.

Such that:

$P(Red) + P(Blue) + x = 1$

Make x the subject

$x = 1 - P(Red) - P(Blue)$

So, we have:

$x = 1 - \frac{2}{7} - \frac{3}{14}$

Solve

$x = \frac{14 - 4 - 3}{14}$

$x = \frac{7}{14}$

$x = \frac{1}{2}$

This mean that the remaining model must add up to 1/2

$(a)\ P(Green) = \frac{2}{7} ; P(Yellow) = \frac{2}{7}$

$P(Green) + P(Yellow)= \frac{2}{7} + \frac{2}{7}$

Take LCM

$P(Green) + P(Yellow)= \frac{2+2}{7}$

$P(Green) + P(Yellow)= \frac{4}{7}$

This is false because: $\frac{4}{7} \ne \frac{1}{2}$

$(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}$

$P(Green) + P(Yellow)= \frac{3}{8} + \frac{1}{8}$

Take LCM

$P(Green) + P(Yellow)= \frac{3+1}{8}$

$P(Green) + P(Yellow)= \frac{4}{8}$

$P(Green) + P(Yellow)= \frac{1}{2}$

This is true

$(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}$

$P(Green) + P(Yellow)= \frac{1}{4} + \frac{1}{4}$

Take LCM

$P(Green) + P(Yellow)= \frac{1+1}{4}$

$P(Green) + P(Yellow)= \frac{2}{4}$

$P(Green) + P(Yellow)= \frac{1}{2}$

This is true

Other options are also false

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3 years ago

Read 2 more answers