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3 years ago

8

A bowl contains 10 quarters, 20 dimes, 15 nickels, and 5 pennies. a coin is selected at random and kept and then a second coin i

s selected at random. which combination would have a probability of 6/49?

1 answer:

DENIUS [597]3 years ago

5 0

In this question, there are a few kinds of the coin with a different value. To answer this question, we need to know the total coin first. The total coin count should be: 10 +20 + 15 +5= 50 coin

In this case, the coin is taken twice, that means the denominator should be 50*49. But in this question, the probablity value is 6/49, so you need to convert it into 50*49 by multiplying the numerator with 50. The value should be:
6/49 *50/50= 300/49*50
The number 300 is multiplication of 20 and 15, that mean the answer should be: 1 dimes and 1 nickles

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Solve by elimination <br><br> { -3x - 10y = -4<br> { x - 5y = 18

mylen [45]

{-3x - 10y = -4} Answer: x = − 10/3y + 4/3

{x - 5y = 18} Answer: x = 5y + 18

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3 years ago

There are four movies showing at the theater, 2/5 of the people bought tickets for the comedy, 1/4 bought tickets for the horror

RUDIKE [14]

Given:

Number of people bought tickets for comedy = $\frac{2}{5}$

Number of people bought tickets for horror = $\frac{1}{4}$

Number of people bought tickets for kids movie = $\frac{3}{10}$

To find the number of people who bought tickets for the action movie.

Let us take,

Total number of tickets = 1

Now,

Total number of tickets for comedy, horror and kids movie are = $(\frac{2}{5} +\frac{1}{4} +\frac{3}{10} )$

So,

$(\frac{2}{5} +\frac{1}{4} +\frac{3}{10} )$

LCM of 5,4,10 = 20

= $\frac{8+5+6}{20}$

= $\frac{19}{20}$

Rest are action movie's tickets.

Therefore,

Number of action movie tickets = $1-\frac{19}{20}$

= $\frac{20-19}{20}$

= $\frac{1}{20}$

Hence,

The number of people who bought the tickets for action movie is $\frac{1}{20}$ .

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3 years ago

6x-2x=-4x+2 who is correct spencer or jeremiah

katrin2010 [14]

Answer:

Jeremiah

Step-by-step explanation:

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3 years ago

For the following function y = f(x) = 4x^3 - 5

goblinko [34]

The answer for each of the differentiation are; f'(-6) = 432; f⁻¹(y) = ∛((y + 5)/4); df⁻¹/dy = 1/432

<h3>How to differentiate functions?</h3>

1) f(x) = 4x³ - 5

We will differentiate it to get;

f'(x) = df/dx = 12x²

f'(-6) = 12(-6)²

f'(-6) = 432

2) We are given the formula;

x = f⁻¹(y)

Thus;

y = 4x³ - 5

4x³ = y + 5

x³ = (y + 5)/4

x = ∛((y + 5)/4)

f⁻¹(y) = ∛((y + 5)/4)

c) f⁻¹(y) = ∛((y + 5)/4)

df⁻¹/dy = -1/12y²

At f(-6), we have;

df⁻¹/dy = 1/432

Read more about Differentiation at; brainly.com/question/5313449

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1 year ago

#2: Solve the linear system below using the elimination method. Type your

MariettaO [177]

The given linear system is:

$\displaystyle \left \{ {{5x+7y=33} \atop {11x+7y=39}} \right.$

The question is asking to solve using elimination. When eliminating, you can either eliminate x or y. In this system, y is much easier to eliminate. The y variable in both equations are 7y. To eliminate, one of them has to be negative, so multiply one of the equations by -1.

I will be multiplying the second equation by -1.

$\displaystyle (11x + 7y = 39) \times -1 = -11x-7y=-39$

Rewrite the system:

$\displaystyle \left \{ {{5x+7y=33} \atop {-11x-7y=-39}} \right.$

Subtract:

$5x+7y=33\\-11x-7y=-39$

$5x-11x=33-39\\-6x=-6$

Lastly, you need to leave the variable x alone. The variable is currently -6x or -6 times x. To remove it, you need to do the opposite of it, which is dividing by -6.

$\displaystyle \frac{-6x}{-6} =\frac{-6}{-6}$

$\displaystyle x=1$

Now that you have the value of x, substitute it into one of the equations to find y. I will be substituting it into the first equation.

$5x+7y=33 \rightarrow 5(1)+7y=33$

Open the parentheses and multiply:

$5+7y=33$

Move 5 to the other side to leave the variable alone:

$5+7y-5=33-5$

You will be subtracting since you're "removing" it by doing the opposite of it.

$7y=28$

Lastly, divide both sides by 7 to leave y alone.

$\displaystyle \frac{7y}{7} =\frac{28}{7}$

$y=4$

$\displaystyle (x,y) \rightarrow (1, 4)$

The answer is (1, 4).

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2 years ago

Read 2 more answers