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Alona [7]
4 years ago
10

When rolling a number cube numbered 1 to 6, how would you describe the chances of rolling a number greater than or equal to 3 ve

rsus rolling a number less than 3? A. more likely to roll a number greater than or equal to 3 B. more likely to roll a number less than 3 C. equally likely events D. none of the above
Mathematics
1 answer:
Andrew [12]4 years ago
3 0

Answer:

A. more likely to roll a number greater than or equal to 3

Step-by-step explanation:

Take a look at the probabilities for each:

Greater than or equal to 3:

You can roll a 3, 4, 5, or 6

Less than 3:

You can roll a 1 or a 2.

To find probability, divide how many ways there are to get what you want by the number of total ways to get something at all.

For freater than or equal to 3:

You can roll a 3, 4, 5, or 6 to fulfill this, so 4 things that you want.

You could roll a 1, 2, 3, 4, 5, or 6 on this number cube, so 6 possibilities.

Divide 4 by 6, and you get 2/3.

For less than 3:

You can roll a 1 or a 2 to fulfill this, so 2 things you want.

Divide by 6 (again) total possibilities, and you get 1/3.

2/3 is more than 1/3, so the first possibility is more likely than the second.

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What is the factorization of 729^15+1000​
Nesterboy [21]

\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) \\\\ a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 729=27^2\\ \qquad (3^3)^2\\ 1000=10^3 \end{cases}\implies 729^{15}+1000\implies ((3^3)^2)^{15}+10^3 \\\\\\ ((3^2)^{15})^3+10^3\implies (3^{30})^3+10^3\implies (3^{30}+10)~~[(3^{30})^2-(3^{30})(10)+10^2] \\\\\\ (3^{30})^3+10^3\implies (3^{30}+10)~~~~[(3^{60})-(3^{30})(10)+10^2]

now, we could expand them, but there's no need, since it's just factoring.

3 0
3 years ago
define a variable and write an inequality to model each situation. The school auditorium can seat at most 1200 people.
Savatey [412]
The picture is the answer

8 0
3 years ago
Linda has d dollars in an account that pays 1.4% interest, compounded weekly. She withdraws w dollars. Express her first week’s
Fittoniya [83]

Answer:

If the 1.4% rate of interest is the weekly rate of interest, Then, total first week interest = 1.4(d - w)/100 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate of interest compounded weekly, then her total first week interest = 7(d - w)/2600 = 0.00269 (d - w)

Step-by-step explanation:

The interest, I = PRT

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/week

T = time = 1 week

If the 1.4% rate of interest is the weekly rate of interest

I = PRT = (d - w) × 0.014 × 1 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate if interest compounded weekly,

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/year

T = time = 1 week = (1/52) years

I = PRT = (d - w) × 0.014 × (1/52) = 7(d - w)/2600 = 0.00269 (d - w)

Hope this Helps!!!

7 0
4 years ago
Read 2 more answers
Convert 4.2% to an<br> equivalent decimal.
hjlf

Answer:

4.2% = 0.042

Step-by-step explanation:

You need to divide the percentage by 100 to get its equivalent decimal:

100% = 1 because

100 ÷ 100 = 1

Therefore,

4.2% = 0.042 because

4.2 ÷ 100 = 0.042

Hope this helped :)

5 0
3 years ago
Use the graph to find the unit rate
Diano4ka-milaya [45]
<h3>Answer:</h3>

2.4 potatoes/pound

<h3>Explanation:</h3>

The unit rate is the slope of the line. The slope of the line is ...

... (change in y-value)/(change in x-value)

... = (36 potatoes - 12 potatoes)/(15 pounds - 5 pounds)

... = (24 potatoes)/(10 pounds)

... = 2.4 potatoes/pound

_____

The relationship here is proportional, so the line goes through the point (0, 0) and the unit rate can be figured from any point:

... (12 potates)/(5 pounds) = (24 potatoes)/(10 pounds) = (36 potatoes)/(15 pounds) = 2.4 potatoes/pound

4 0
3 years ago
Read 2 more answers
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