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gavmur [86]
3 years ago
14

Determine the theoretical probability of rolling a number larger than 3 on a standard 6-sided cube. 1/2, 1/6, 1/4, 1/3

Mathematics
2 answers:
nirvana33 [79]3 years ago
7 0
|\Omega|=6\\
|A|=3\\
P(A)=\dfrac{3}{6}=\dfrac{1}{2}
exis [7]3 years ago
7 0

Answer:

Option A is correct.

Step-by-step explanation:

Given: A 6-sided cube is rolled.

To find: Probability of getting a number greater than 3.

Total number of outcome when a 6-sided cube is rolled = 6

Favorable outcome = { 4 , 5  6 }

Number of favorable outcome = 3

Theoretical Probability is a probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.

Probability=\frac{Number\:of\:favorable\:outcome}{Number\:of\:Total\:outcome}

Probability=\frac{3}{6}=\frac{1}{2}

Therefore, Option A is correct.

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Tell whether the equation has one, zero, or infinitely many solutions:<br>9(x - 4) +15=9x – 21​
Mama L [17]

Answer:

Infinite solutions

Step-by-step explanation:

Simplify both sides, subtract 9x, and add 21x to both sides and you will get 0 = 0 so there is infinite solutions.

8 0
3 years ago
After the booster club sold 40 hotdogs at a football game, it had 90$ in profit. After the next game, it had sold a total of 80
sergiy2304 [10]
Let's first establish what we already know for this problem.

x = total number of hotdogs sold
y = total profit from total sales of hotdogs

Let's also establish the other equations which we will require in order to solve this problem.

Equation No. 1 -
Profit for 40 hotdogs = $90 profit

Equation No. 2 -
Profit for 80 hotdogs = $210 profit

STEP-BY-STEP SOLUTION

From this, we can use the formula y = mx + b & substitute the values for x & y from one of the two previous equations into the formula in order to obtain the values of m & b for the final equation. Here is an example of the working out as displayed below:

Firstly, using the first or second equation, we make either m or b the subject. Here I have used the first equation and made m the subject:

Equation No. 1 -
y = mx + b
90 = m ( 40 ) + b
40m = 90 - b
m = ( 90 - b ) / 40

Now, make b the subject in the second equation as displayed below:

Equation No. 2 -
y = mx + b
210 = m ( 80 ) + b
210 = 80m + b
b = 210 - 80m

Then, substitute m from the first equation into the second equation.

Equation No. 2 -
b = 210 - 80m
b = 210 - 80 [ ( 90 - b ) / 40 ]
b = 210 - [ 80 ( 90 - b ) / 40 ]
b = 210 - 2 ( 90 - b )
b = 210 - 180 - 2b
b - 2b = 30
- b = 30
b = - 30

Now, substitute b from the second equation into the first equation.

Equation No. 1 -
m = ( 90 - b ) / 40
m = ( 90 - ( - 30 ) / 40
m = ( 90 + 30 ) / 40
m = 120 / 40
m = 3

Through this, we have established that:

m = 3
b = - 30

Therefore, the final equation to model the final profit, y, based on the number of hotdogs sold, x, is as follows:

y = mx + b
y = ( 3 )x + ( - 30 )

ANSWER:
y = 3x - 30
3 0
3 years ago
Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
stiks02 [169]

Answer:

your welcomeeeeee!!!

7 0
3 years ago
Read 2 more answers
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36 hrs and 21 mins hope that is ok
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The Xbox X is back in stock just in time for black Friday. Retailers are now offering the Xbox one S for 40% of the original pri
oksian1 [2.3K]

Answer:

230$ discount

Step-by-step explanation:

It costs 345$ now with a game pass

HOPE THIS HELPS

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