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harkovskaia [24]
3 years ago
10

There are 19 green marbles in a box. The number of green marbles in the box is 6 more than half the number of red marbles in the

box. Write an algebraic equation to represent r, the number of red marbles in the box.
Mathematics
2 answers:
Lapatulllka [165]3 years ago
7 0

Answer Answer R= 2(G-6)

:G=19

G=.5R+6

19=.5R+6

-6=.5R-6

13.=.5R

Divide by 5

R= 26

Step-by-step explanation:

vfiekz [6]3 years ago
4 0

Answer:

r = 2(19-6)

Step-by-step explanation:

19 is the number of green. 19 also is equal to (r/2 + 6)

so 19 = r/2 + 6   rearrange for R = 2( 19-6)

subtract 6 from both sides, then multiply by 2 to cancel the denominator.

19 -6 = r/2     13 = r/2

2(13) = r

r =26

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An environmental scientist wants to use a 95% confidence interval to estimate the mean number of hours per day her solar panel r
MissTica

Answer:

a) The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 47 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0117

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In which s is the standard deviation of the sample.

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The upper end of the interval is the sample mean added to M. So it is 7.1 + 4.6 = 11.7 hours of sunlight per day

a) Compute the 95% confidence interval for the mean.

The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) Explain your confidence interval from part (a) in context.

The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

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