Bill has a ladder that is 8 1/2 feet tall. The ladder has 6 equal spaces between the rungs. How large is each space ?

Mathematics

1 answer:

Nina [5.8K]3 years ago

3 0

Answer:

17/12 feet for each space

Step-by-step explanation:

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Pls solve this proportion<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D" id="TexFormula1" title="\frac{5}{6}"

Nostrana [21]

Answer:

c = 15/2

Step-by-step explanation:

Multiply both sides of the equation by 9, then reduce the fraction.

9(5/6) = c

15/2 = c

_____

<em>Alternate methods</em>

You are usually told to "cross-multiply" which means you multiply the expression by the product of the denominators. this would give you ...

9(5) = 6(c)

Then you would divide by the coefficient of c to get ...

(9·5)/6 = c = 15/2

Since c is multiplied by 1/9, you can solve this by multiplying by the inverse of that coefficient, 9. That is what is done in the first section above. Usually, this does in one step what the "cross-multiply" method does in 2 steps.

The "cross multiply" step can also be done by multiplying by the least common multiple of the denominators, 18. Then you have ...

18(5/6) = 18(c/9)

15 = 2c

Now, dividing by the coefficient of c gives ...

15/2 = c

6 0

4 years ago

Samantha reports that 60% of the first year students at her university think they should be able to bring a car to campus. She a

Nostrana [21]

Answer:

D) the standard error for her sample is 15

Step-by-step explanation:

Samantha is 95% certain that between 50% and 70% of the first year students agree that they should be able to bring a car to campus.

Here

95% is the confidence level.
The range between 50% and 70% indicates 95% confidence interval.
60% is the average proportion of the first year students at her university think they should be able to bring a car to campus.
10% (0.1) is the margin of error from the mean

Since standard error can be obtained by dividing margin of error by the z-statistic of the confidence level which is 1.96. The standard error for her sample $\frac{0.1}{1.96}$ does not equal to 15.