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Mathematics

2 answers:

Alexxandr [17]3 years ago

8 0

Answer:

The answer is 4/10

Step-by-step explanation:

If you add all marbles in both bags it equals 40. There are 10 pink marbles in both so 40 / 10 is 4 and the denominator would be 10. 4/10

Elden [556K]3 years ago

3 0

Answer:

The odds of getting a pink marble from the 1st bag are 7/21, .333 repeating, or approximately 33%.

The odds of getting a pink marble from the 2nd bag are 3/19, .158, or approximately 16%

Step-by-step explanation:

There are a total of 21 marbles in the first bag, and only 7 pink marbles. This means that when you reach into the bag, your odds are 7 out of 21 to select a pink marble. When divided, this can be changed to a percent or decimal.

There are a total of 19 marbles in the second bag, and only 3 pink marbles. When you reach into this bag, your odds are 3 out of 19 to select a pink marble. You can also divide this to become a percent or decimal.

Probability is often calculated in fraction or decimal form. If I flip a coin the odds of getting tails are 50% percent because there are only two possible outcomes, and tails is one of them. This gives you the fraction 1/2 (one-half), which is 50% when reduced.

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OleMash [197]

Answer:

a) The CDF of X/Y is calculated as:

$F_{z} (\zeta) = \frac{\zeta}{\zeta + 2}$ for $0 < \zeta < \infty$

$F_{z} (\zeta) = 0$ for $\zeta \leq 0$

Note: Z = X/Y

b) Probability that A finishes before B = 1/3

Step-by-step explanation:

For clarity and easiness of expression, this solution is handwritten and attached as a file. Check the complete solution in the attached file.

7 0

4 years ago

Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFractio

gtnhenbr [62]

9514 1404 393

Answer:

it is application of the multiplication property of equality

Step-by-step explanation:

You can use "cross products" to solve any proportion. What looks like a "cross product" is just application of the multiplication property of equality. That property says the variable value is unchanged if both sides of the equation are multiplied by the same value.

For your fraction, the "cross product" is what you get when you multiply both sides of the equation by 500.

$\dfrac{18}{5}=\dfrac{x}{100}\qquad\text{given}\\\\\dfrac{18\cdot5\cdot100}{5}=\dfrac{x\cdot5\cdot100}{100}\qquad\text{multiply by $5\cdot100$}\\\\18\cdot100=5\cdot x\qquad\text{cancel common factors; looks like cross product}$