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3 years ago

What is the theoretical probability of rolling two consecutive numberswhen rolling two dice?

Mathematics

1 answer:

Art [367]3 years ago

4 0

Answer:

2.7%

Step-by-step explanation:

The probability of rolling the number once is $\frac{1}{6}$ , and the probability of it happening again is $\frac{1}{6}$ , so multiply and get $\frac{1}{36}$ , which is approximately 2.7%

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Can someone help me and walk me through it? Thank you:)

olya-2409 [2.1K]

First find the area of the triangle.

$\sf A=\dfrac{1}{2}bh$

$\sf A=\dfrac{1}{2}(6)(12)$

$\sf A=36cm^2$

ABCE is a parallelogram, this means that the area of triangle ABE is equal to the area of triangle EBC. The are of the entire trapezoid is 180 square centimeters, we already found the area of the triangle, so that leaves us with:

$\sf 180-36=144$

So the area of the entire parallelogram must be 144 square centimeters. So each half of the parallelogram must be equal to:

$\sf 144\div 2=\boxed{\sf 72cm^2}$

8 0

3 years ago

Out of 60 problems assigned last week for homework, Steve solved correctly 54 problems. What is his score for this homework?

dybincka [34]

90 percent because 54 divided by 60 = 90

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3 years ago

The Department of Education wishes to estimate the proportion of all college students who have a job off-campus. It surveyed 160

NeX [460]

Answer: 2. All college students

Step-by-step explanation:

A population is a large group of individuals that have some common feature by the researcher's point of interest.

Herero , the Department of Education wishes to estimate the proportion of all college students who have a job off-campus.

So , he need data of all students to compute the exact proportion.

But instead of that he surveyed 1600 randomly selected students which determine the sample.

Sample just gives the estimate of the parameter.

Hence, the population of interest to the Department of education is " All college students" .

7 0

3 years ago

Add (7х2 – 3x) + (5х – 6).

Masja [62]

Option C: The solution is $7x^{2} +2x-6$

Explanation:

The given expression is $(7x^{2} -3x)+(5x-6)$

We need to solution of the given expression.

The solution of the given expression can be determined by adding the two expressions.

Let us remove the parenthesis.

Thus, we have,

$7x^{2} -3x+5x-6$

Adding the like terms, we have,

$7x^{2} +2x-6$

Thus, the solution is $7x^{2} +2x-6$

Hence, Option C is the correct answer.

5 0

3 years ago

Which pair of expressions is equivalent using the Associative Property of Multiplication? 6(4a ⋅ 2) = 24a ⋅ 12 6(4a ⋅ 2) = (4a ⋅

galben [10]

<span>Associative Property of Multiplication : (ab)c = a(bc)
</span>so
answer is

6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2

4 0

3 years ago

What is the theoretical probability of rolling two consecutive numberswhen rolling two dice?​

What is the theoretical probability of rolling two consecutive numberswhen rolling two dice?