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3 years ago

Explain how you can mentally determine whether there is a remainder when 18,450 is divided by 6

1 answer:

6 0

For a number to be divisible by 6, it must also be divisible by 2 and 3. Therefore, we need to check if a number is even and then check if the sum of the digits is divisible by 3.

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Multiply 16.852 × 0.86

Leni [432]

Answer:

14.49272 or 14.5 (when rounded)

Step-by-step explanation:

5 0

3 years ago

Use the given similar triangles to find the value of x I need the answer fast please!!

Yuki888 [10]

Answer:

I believe the answer is x=7

Step-by-step explanation:

3x and 4x-1 are corresponding sides and so are 14 and 18.

You cross multiply with the smaller triangle lengths at the top.

3x/(4x-1)= 14/18

Cross multiply to get

18(3x)= 14(4x-1)

54x=56x-14

Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)

you get 14=2x and divide 14 by 2 to get x=7

8 0

3 years ago

There are 9 red marbles and 5 blue marbles in a bag. What is the ratio of blue marbles to all marbles

LenKa [72]

Answer:

9:5

Step-by-step explanation:

I think it's 9:5 sorry if I'm wrong.

4 0

2 years ago

The times required for a delivery firm to transport a package from one business address to another in the same metropolitan area

gladu [14]

Answer:

Step-by-step explanation:

Since; the density function diagrams were not included in the question; we will be unable to determine the best which depicts this problem.

However;

Let use X to represent the time required for the delivery.

Then X~N(3.8 ,0.8)

i.e

E(x) = 3.8

s.d(x) = 0.8

NOW; P(x>4) = P(X-3.8/0.8 > 4-3.8/0.8)

= P(Z > 0.25)

= 1-P(Z < 0.25)

=1 - Φ (0.25)

= 1 - 0.5987 ( from Normal table Φ (0.25) = 0.5987 )

= 0.4013

Thus; the probability a single delivery would take more than 4 hours is 0.4013

What is the z value corresponding to the interval boundary?

The z value is calculated as:

$z = \dfrac{X- \mu}{\sigma}$

$z = \dfrac{4- 3.8}{0.8}$

z = 0.25

3 0

3 years ago

Two fair dice are tossed.

poizon [28]

there are 6 possibilities on each dice. Therefore 6 x 6 = 36 possible outcomes.

What is the probability that the sum of the number of dots shown on the upper faces is equal to 7?

1,6 2,5 3,4 4,3 5,2 6,1 there are 6 possible ways to get 7

6/36 = 1/6 = .1666...

What is the probability that the sum of the number of dots shown on the upper faces is equal to 11?

5,6 6,5 there are 2 possible ways to get 11

2/36 = 1/18 = .0555...

What is the probability that you roll "doubles" that is, both dice have the same number on the upper face?

1,1 2,2 3,3 4,4 5,5 6,6 there are 6 possible ways to get doubles

6/36 = 1/6 = .1666...

What is the probability that both dice show an odd number?

1,1 1,3 1,5 3,1 3,3 3,5 5,1 5,3 5,5 there are 9 possible ways that both dice show an odd number

9/36 = 1/4 = .25

5 0

3 years ago