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3 years ago

How complex fractions can be used to solve problems with ratios

1 answer:

4 0

When you have ratios and some unknowns,you can create complex fractions from them.Bring them to the same denominator and solve for X.

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If the volume of the cube was 27 (each side length is 3 units), what would the new volume be if each side length of the cube was

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Step-by-step explanation:

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2 years ago

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Is 63% a real number?

Elden [556K]

No I do not believe it is.

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3 years ago

Which of the following can be written as an equation

masha68 [24]

Answer:

Step-by-step explanation:

"Is the same as" means an = sign, necessary for an equation!

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3 years ago

If the radius of a circle is increased by 100%, then the area is increased by:

shtirl [24]

$A_1=\pi r^2\\\\R=2r\ then\ A_2=\pi R^2\to A_2=\pi(2r)^2=4\pi r^2\\\\A_2-A_1=4\pi r^2-\pi r^2=3\pi r^2=3A_1\\\\3=300\%\\\\Answer:(C).$

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3 years ago

If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

$P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}$ where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

$P(X=x) = p(1-p)^{x-1}\\$

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

$P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428$

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

7 0

3 years ago