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3 years ago

What is the probability that a randomly drawn marble from bag is green. Given that it is not red?

Mathematics

1 answer:

tatiyna3 years ago

6 0

Answer:

The probability is 0.2, or 20%.

Step-by-step explanation:

A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. If we know that the marble drawn is not red, the number of possible outcomes N is

N = (number of blue marbles) + (number of green marbles) = 25

and the number of relevant outcomes (marble being green) is n:

n = (number of green marbles) = 5

So, the probability is

P = n / N = 5 / 25 = 1 / 5 or 0.2, or 20%

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Use the Pythagorean theorem to find the unknown side of the right triangle.

Nesterboy [21]

The length of hypotenuse is 39.

Step-by-step explanation:

Given,

Vertical side = a = 15

Horizontal side = b = 36

Hypotenuse = c

Using pythagorean theorem

$a^2+b^2=c^2\\(15)^2+(36)^2=c^2\\225+1296=c^2\\1521=c^2\\c^2=1521$

Taking square root on both sides

$\sqrt{c^2}=\sqrt{1521}\\c=39$

The length of hypotenuse is 39.

Keywords: square root, addition

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3 years ago

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3 years ago

On Thursday the basketball coach ordered 12 pizzas for 36 players who came in for practice. How many pizzas does the coach need

Paraphin [41]

Answer:16

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2 years ago

Assume that women's heights are normally distributed with a mean given by mu equals 62.5 in, and a standard deviation given by

kirza4 [7]

Answer: a) The probability is approximately = 0.5793

b) The probability is approximately=0.8810

Step-by-step explanation:

Given : Mean : $\mu= 62.5\text{ in}$

Standard deviation : $\sigma = \text{2.5 in}$

a) The formula for z -score :

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

Sample size = 1

For x= 63 in. ,

$z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{1}}}=0.2$

The p-value = $P(z$

$0.5792597\approx0.5793$

Thus, the probability is approximately = 0.5793

b) Sample size = 35

For x= 63 ,

$z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{35}}}\approx1.18$

The p-value = $P(z$

$= 0.8809999\approx0.8810$

Thus , the probability is approximately=0.8810.

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3 years ago

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V125BC [204]

B it is horizontally stretched by a factor of of 3 and reflected over the y

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3 years ago

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