A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. You randomly select a marble from the bag, record the color, and then put that marble back in the bag. If you were to do this 200 times, how many times would you expect to pull out a blue marble?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.

This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.

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The equation of a line is y = 3x + 8 what is the gradient of the line

Answers

Answer: 3

Step-by-step explanation:

We can find the gradient, or slope, of the line by looking at the equation. This equation is given in slope-intercept form equation which is y = mx + b, where m is the gradient/slope.

y = 3x + 8

y = 3x + 8 ➜ the gradient is 3

The gradient of the line is 3.

How to find the gradient

The equation of line given is y = 3x + 8.

To find the gradient of the line, compare it with the standard slope-intercept form y = mx + b, where m is the gradient (slope).

Comparing the equations:

m (gradient) = 3

Hence, the gradient of the line is 3.

Answers

The rule of exponential multiplication is (a^x)*(a^y)=a^(x+y)
using this with your expression, we can do
(10^1)*(10^3)*(10^2)=10^(1+3+2)=10^6
Final answer:
10^6 or 1 million
Hope I helped :)

Write the equation for the horizontal line that contains point G(3, 4).Choose one answer.
a. y = 3
b. x = 3
c. y = 4
d. x = 4

Answers

the answer to your question is c. y=4

The answer is b because the 3 is in the x value spot. (x,y)

On Saturday, 32,736 more movie tickets were sold than onSunday. On Sunday, only 17,295 tickets were sold.
How many people bought movie tickets over the weekend?

Answers

50,031 people bought movie tickets over the weekend (32,736 on Saturday and 17,295 on Sunday).

To find out how many people bought movie tickets over the weekend, you need to add the number of tickets sold on Saturday and the number of tickets sold on Sunday.

Let's denote:

S as the number of tickets sold on Saturday

S - 32,736 as the number of tickets sold on Sunday (since there were 32,736 more tickets sold on Saturday than on Sunday)

Given that on Sunday 17,295 tickets were sold, we have the equation:

S - 32,736 = 17,295

Now, solve for S:

S = 17,295 + 32,736

S = 50,031

So, 50,031 people bought movie tickets over the weekend (32,736 on Saturday and 17,295 on Sunday).

To know more about bought click here :

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17,296 is the answer hope

A standard number cube was rolled multiple times, and the results were recorded in the table above. What can be said about the experimental probability of rolling a four versus the theoretical probability of rolling a four?

Answers

They should ideally be the same. However, the difference is that the theoretical probability is what is expected to happen while the experimental probability is what happens in the actual scenario. The computation for both would be the same, and they should ideally be the same, unless other factors in an experiment would confound it.

V=1/3πr^2h solve for h. Please show work.

Answers

The equation V = (1/3) πr²h is solved for h is h = (3V) / (πr²).

Given that:

Equation, V = (1/3) πr²h

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

Multiply both sides of the equation by 3 to eliminate the fraction:

3V = πr²h

Divide both sides of the equation by (πr^2) to isolate h:

(3V) / (πr²) = h

More about the solution of the equation link is given below.

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V=1/3*pi*(r^2)*h
first multiply both sides by 3
3V=pi*(r^2)*h
divide by pi
3V/pi=(r^2)*h
divide by r^2
h=3V/(pi*(r^2))

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