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3 years ago

Which number line shows the correct placement of 20%, 1/3, and 2/3?

Mathematics

1 answer:

BigorU [14]3 years ago

7 0

Answer with Step-by-step explanation:

We are given that

20%

When we change percent into fraction we will divide the percent by 100

$\frac{20}{100}=\frac{1}{5}$

$\frac{1}{3}$

$\frac{2}{3}$

We have to find the line which shows the correct placement of given numbers.

Lcm(3,5)=15

$\frac{1\times 3}{5\times 3}=\frac{3}{15}$

$\frac{1\times 5}{3\times 5}=\frac{5}{15}$

$\frac{2\times 5}{3\times 5}=\frac{10}{15}$

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A presidential candidate plans to begin her campaign by visiting the capitals in 44 of 4343 states. what is the probability that

QveST [7]

If the 4 states have to be in a specific order say ABCD, then the total number of different possible routes is:

43P4 = 2,961,840

So the probability is:

1 / 2,961,840 = 3.38 x 10^-7

But if the 4 states can be in any order such as DBAC, ACBD etc, then the total number of different possible routes is:

43C4 = 123,410

So the probability is:

1 / 123,410 = 8.1 x 10^-6

No I don’t think it is practical to list all the different possible routes to select the one that is best. We can simply use mathematical models to solve for that one.

4 0

3 years ago

Find the area of each parallelogram a equals base height 11 in 9 in

Paul [167]

Answer:

Area of the parallelogram is 99 inch²

Step-by-step explanation:

We are given that,

Base of the parallelogram = 11 inches

Height of the parallelogram = 9 inches

Since, we know,

Area of a parallelogram = Base × Height

So, we get,

Area of the parallelogram = 11 × 9 = 99 inch²

Hence, the area of the parallelogram is 99 inch².

8 0

3 years ago

Read 2 more answers

I need help with this....

trapecia [35]

Answer:

-512

Step-by-step explanation:

The laws of exponents state that multiplying two exponents together of the same base allows you to add the exponents. Raising an exponent to another power allows you to multiply the exponents. In this case. you have $(-2)^3*((-2^3))^2$ . First, you take the second term, or $((-2^3))^2$ and simplify it. Since you're raising an exponent to another exponent you have $(-2)^(3*2)$ , or $(-2)^6$ . Now, you multiply by $(-2)^3$ . Since they both have the same base, you can add the exponents to get $(-2)^9$ . Since $(-2)^9$ is raised to an odd exponent, you know you're answer is going to be negative. $2^9$ is 512, so that negative would be -512. If you're looking for an expression for this, you can write $(-2)^9$