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monitta
3 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]3 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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$ 425 is what percent more than $125 ?
Komok [63]

Answer:

240%

Step-by-step explanation:

100 x (425 - 125) / 125

3 0
2 years ago
A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic
Rainbow [258]

angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

c^2 = a^2 + b^2 - 2ab (cosx)

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ c^2 = a^2 + b^2 - 2ab (cosx)

⇒ c^2 -a^2 - b^2 = -2ab (cosx)

⇒ (cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}

⇒ (cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}

⇒ (cosx) =0.18310

⇒ cos^{-1}(cosx) = cos^{-1}(0.18310)

⇒ x = 79.45

The Law of Sines (or Sine Rule) is very useful for solving triangles:

\frac{a}{sin A} = \frac{ b}{sin B} =  \frac{c}{sin C}

We can now find another angle using the sine rule:

⇒\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}

⇒sin Y = \frac{(7.5 (sin 79.45))}{  8.6}

⇒Y = 59.02 degrees

So, the third angle =180 - 79.45 - 59.02 = 41.53 degrees.

Therefore, angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

4 0
4 years ago
Help me please I need help with this problem
ryzh [129]
Time it by the number before hand and you get 8 then 16 then 32 . Think about it it works and it’s a consistent continental
3 0
3 years ago
What Is The Answer????​
olchik [2.2K]

Answer:

x + 3

Step-by-step explanation:

It cuts the y axis at 3 and continues to rise by one

Therefore ax + b gives us 1x + 3 = x + 3

4 0
3 years ago
Two years of local Internet service cost $685, including the installation fee of $85. What is the monthly fee?
AnnZ [28]
685-85=600
1 year =12 months 
12 multiply by 2 =24
600 divided by 24=25
answer=25

8 0
3 years ago
Read 2 more answers
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