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Anika [276]
3 years ago
7

LaTonda rolls two number cubes that are each numbered 1 through 6. What is the probability that the sum of the numbers on the to

p of both cubes will be a multiple of 4?
Select one:

1/4


1/12


1/6


1/2
Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0

Answer:

1/4

Step-by-step explanation:

The maximum sum of the two cubes is 6 + 6 = 12

The multiples of 4 until 12 are: 4, 8 and 12.

each cube has 6 possible values, so two cubes have a total of 6 * 6 = 36 possible results

We can have a sum of 4 with the pairs (1,3), (2,2), (3,1).

We can have a sum of 8 with the pairs (2,6), (3,5), (4,4), (5,3), (6,2)

We can have a sum of 12 with the pair (6,6)

So we have a total of 9 pairs that satisfy our condition over a total of 36 possibilities, so the probability is 9 / 36 = 1/4

You might be interested in
2. In what ratio does the point (5, 4) divide the given line joining the points (2,1) and (7,6)​
Darya [45]

Answer:

3/2

Step-by-step explanation:

Let it be

C (5;4) , A (2;1) ; B(7;6)

Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)

Use the formula xc=(m*xb+n*xa)/ (m+n)

5=(m*7+2n)/(m+n)

5m+5n= 7m+2n

2m=3n

m/n=3/2

5 0
3 years ago
Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school.
Maksim231197 [3]

26% of all the employees attend night school

Step-by-step explanation:

The given is:

  • Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school
  • 40 percent of all employees are male

We need to find what percent of all the employees attend night school

Assume that the number of all employees is x

∵ The company has x employees

∵ 40 percent of all employees are male

- Find 40% of x

∵ 40% × x = \frac{40}{100} × x = 0.4 x

∴ The number of the male employees is 0.4 x

- Subtract 0.4 x from x to find the number of the female employees

∵ The number of female employees = x - 0.4 x = 0.6 x

∴ The number of the female employees is 0.6 x

∵ 20 percent of the male employees attend night school

- Multiply 20% by 0.4 x to find the number of male employees

   who attend night school

∴ The number of male who attend night school = 20% × 0.4 x

∴ The number of male who attend night school = \frac{20}{100} × 0.4 x

∴ The number of male who attend night school = 0.08 x

∵ 30 percent of the female employees attend night school

- Multiply 30% by 0.6 x to find the number of female employees

   who attend night school

∴ The number of female who attend night school = 30% × 0.6 x

∴ The number of male who attend night school = \frac{30}{100} × 0.6 x

∴ The number of male who attend night school = 0.18 x

Add the number of male and female who attend night school

∵ 0.08 x + 0.18 x = 0.26 x

∴ The number of male and female who attend night school is 0.26 x

- Find the percentage of 0.26 x of x

∵ \frac{0.26x}{x} × 100% = 26%

∴ 26% of all the employees attend night school

26% of all the employees attend night school

Learn more:

You can learn more about the percentage in brainly.com/question/6871421

#LearnwithBrainly

5 0
3 years ago
Arc length for xy I’ve been stuck on this for a while
Contact [7]

Answer:

12.22

Step-by-step explanation:

There are 360° in a full circle

The circumference of a circle is c = 2πr

----------------------------------

The lenght of the arc will be the portion of the circumferece included in the angle

l = (∅/360) * 2πr

plug in the knowns

l = (70/360) * 2π(10)

l ≈ 12.22

7 0
3 years ago
Banana trees yield 32 pounds of fruit per acre and strawberry plants yield 84 pounds of fruit per acre. Suppose Erica's farm has
Usimov [2.4K]

32b + 84s = 1,200 hope this helps

6 0
3 years ago
Read 2 more answers
Factor the trinomial below
OverLord2011 [107]

Answer:

A: x+5

B: 4x-1

Step-by-step explanation:

4x^2+19x-5

(4x     )  ( x     )

We know that 1 will be positive and 1 will be negative.

Our choices for the numbers are 5 and 1

4*5 -1 = 19

(4 x - 1) (x + 5)

7 0
3 years ago
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