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statuscvo [17]
2 years ago
15

If 1/3 of a bag of fertilizer will cover 1/9 of a lawn, how many bags of fertilizer are needed for the entire lawn?

Mathematics
1 answer:
TEA [102]2 years ago
8 0

Answer:

3 bags

Step-by-step explanation:

9*(1/3 bag) = 3 bags

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A random sample of 85 sixth-graders in a large city take a course designed to improve scores on a reading comprehension test. Ba
BartSMP [9]

Answer:

12.6 < \mu < 14.8

For this case we can find the margin of error like this:

ME= \frac{14.8-12.6}{2}= 1.1

Since we need to divide the width of the interval by 2.

And now with the margin of error we can find the sample mean with any of the two following ways:

12.6 +1.1=13.7

14.8-1.1=13.7

So for this case the correct answer would be:

A. Sample Mean = 13.7; Margin of Error = 1.1

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=85-1=84

We know that the confidence interval is given by:

12.6 < \mu < 14.8

For this case we can find the margin of error like this:

ME= \frac{14.8-12.6}{2}= 1.1

Since we need to divide the width of the interval by 2.

And now with the margin of error we can find the sample mean with any of the two following ways:

12.6 +1.1=13.7

14.8-1.1=13.7

So for this case the correct answer would be:

A. Sample Mean = 13.7; Margin of Error = 1.1

3 0
2 years ago
Recall that two angles are complementary if the sum of their measures is​ 90°. find the measures of two complementary angles if
maxonik [38]
If one angle is 8 times bigger than the other, the bigger angle's measure would be 8x and the smaller angle's measure would be x. 8x+x=90. This simplifies to 9x=90. To find x, you divide 9 from 90, making x=10. This means the smaller angle (Angle 2) is 10° and the bigger angle's (Angle 1) is 8 times 10, so it is 80°.
8 0
3 years ago
Which of the following is one branch or part of the government?
baherus [9]

Answer:

Congress

Step-by-step explanation:

6 0
3 years ago
Translations and transformations mastery test
Angelina_Jolie [31]

Answer:

so ....where is the question?

3 0
3 years ago
Read 2 more answers
3x + 4y = 12<br> x + 2y = 10
borishaifa [10]

Answer:

x=-8 and y=9

Step-by-step explanation:

rewrite the equations to x+2y=10,3x+4y=12

sub 2y from both sides x+2y-2y=10-2y

substitue x=10-2y in 3x +4y=12

3(-2y+10)+4y=12

distribute

add-30 to both sides

divide both sides by -2

y=9

sustitute 9 for y in -2y+10=x

x=-8

7 0
2 years ago
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