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Alja [10]
3 years ago
6

There are 25 green marbles in a jar. The total number of red marbles and green marbles equals the number of blue marbles. For ev

ery 5 green marbles, there are 6 yellow marbles. For every 1 red marble, there are 2 yellow marbles. How many of each color are there?
i already know that green is 25
but i need blue, yellow and red
Mathematics
2 answers:
blondinia [14]3 years ago
6 0

Answer: Green Marbles: 25

Yellow Marbles: 30

Red Marbles: 15

Blue Marbles: 40

Step-by-step explanation:

We know that there are 25 marbles.

We also know that there are 5 green marbles to 6 yellow marbles.

Do this:

5/6 = 25/y

5 y/6 = 25 y/y

5 y = 6 * 25

5 y = 150

y = 30

So, there are 30 yellow marbles.

If there is 1 red marble for every 2 yellow marbles, then there must be 15 red marbles.

Lastly, if the total number of red marbles and green marbles is equal to the number of blue marbles, the number of blue marbles is 15 + 25 = 40

There is 25 green marbles, 30 yellow marbles, 15 red marbles, and 40 blue marbles.

I hope this helps you! :)

Anuta_ua [19.1K]3 years ago
5 0

Answer:

Green = 25 Yellow = 30 Red = 15 Blue = 40

If there are 25 there should be five groups so there are 5 groups and 6 yellow for each so 6 x 5 = 30 so 30 yellow

if there are 30 yellow and 1 read marble for each 2 there are 15 bcuz 30 divided by 2 = 15

now if you add the red and green you get 40.

Hopefully thats right!

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A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics e
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Answer:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

Step-by-step explanation:

Information given

n=15 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =16 represent the sample variance

\sigma^2_0 =25 represent the value that we want to  verify

System of hypothesis

We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 25

Alternative hypothesis: \sigma^2

The statistic is given by:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And replacing we got:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

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Answer:

-4, -3, -2, -1, 0

Step-by-step explanation:

Using the equation y = x -2, substitute the values for x into the equation and solve for y.

y = -2 -2

y = -4

y = -1 - 2

y= -3

y = 0 - 2

y = -2

y = 1 - 2

y = -1

y = 2 - 2

y = 0

You will have the coordinates when you plug the numbers into the table. (-2, -4), (-1, -3), (0, -2), (1, -1), (2, 0). Plot the points and connect with a line.

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Answer:

16,800 votes.

Step-by-step explanation:

In the singing competition 42,000 votes were counted.

The winner received 3/5 of the votes.

The part of the votes that the winner did not receive was 1 - 3/5 = 2/5

So the winner did not receive 2/5 of 42,000 votes which is equivalent to:

\frac{2(42,000)}{5} = 16,800 votes.


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