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monitta
2 years ago
10

Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible c

ombinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 4 if she rolls the two number cubes 216 ​times?
Mathematics
1 answer:
Georgia [21]2 years ago
3 0

Answer:

18 times

Step-by-step explanation:

Sample space ; roll of 2 number cubes = 6^2 = 36

Sum of 4 in 2 cube rolls = 3

Probability = required outcome / Total possible outcomes

P(sum of 4) = 3 / 36 = 1 / 12

If number cube is rolled 216 times :

Probability on 1 roll * Number of rolls

(1 / 12) * 216

0.0833333 * 216

= 18

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How much sugar syrup would you get by making 30% sugar syrup using 75g sugar?
Elena-2011 [213]

Answer:

250gr

Step-by-step explanation:

The amount of sugar syrup that I would get by making 30% sugar syrup using 75g sugar is going to be given by the weight of the sugar added to the weight of water. Therefore, we have the following equation:

\frac{75}{75+x} = 0.30

Now, we need to find x:

75 + x = 250

x = 250 - 75

x = 175

The amount of sugar syrp is 175gr + 75 grm = 250gr.

7 0
3 years ago
(2x+3y+4z)(4x^2+9y^2+16z^2-6xy-12yz-8zx)
erma4kov [3.2K]
1.1 Factoring: 4x2+9y2+16z2-6xy-12yz-8xz

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -6xy-12yz
Group 2: 16z2-8xz
Group 3: 4x2+9y2

Pull out from each group separately :

Group 1: (x+2z) • (-6y)
Group 2: (x-2z) • (-8z)
Group 3: (4x2+9y2) • (1)


Looking for common sub-expressions :

Group 1: (x+2z) • (-6y)
Group 3: (4x2+9y2) • (1)
Group 2: (x-2z) • (-8z)
6 0
2 years ago
What is the slope of the line through (6,9) and (7,1)
pychu [463]

Answer:

-8

Step-by-step explanation:

m= y₂- y₁/ x₂-x₁

m= 1-9/7-6

m= -8/1

m= -8

8 0
3 years ago
Read 2 more answers
10. Look at the diagram. Which of the following is a pair of vertical angles?
MArishka [77]

Answer:

1 option is correct

Step-by-step explanation:

Angle AOB and DOC is vertically opposite angle

7 0
3 years ago
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)) A farmer placed an order for 16 2/3 tons of fertilizer. He calculates that the corn fields
miskamm [114]

Answer:

7 5/6

Step-by-step explanation:

16 2/3 - 8 5/6

16 4/6- 8 5/6

7 5/6

6 0
3 years ago
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