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sergeinik [125]
3 years ago
15

Jacob walked three and two-eighths of a mile and Benjamin walked two and five-eighths of a mile. How much further did Jacob walk

than Benjamin?
Show work
Mathematics
2 answers:
creativ13 [48]3 years ago
4 0
Well 2/8 is .25 and 5/8 is .625 so 3.25-2.63=0.62
Ray Of Light [21]3 years ago
3 0
3 2/8 - 2 5/8 = 5/8 because 3 2/8 have to become an improper fraction (10/8) to subtract 2 5/8
You might be interested in
3 x 10^8/3.4 x 10^2 solved
storchak [24]

Answer: See explanation

Step-by-step explanation:

3 × 10⁸ ÷ 3.4 × 10²

(3 × 100000000) ÷ (3.4 × 100)

300000000 ÷ 340

882352.94117

Round to the nearest hundredth

882352.94117 ≈ 882352.94

Round to the nearest tenth

882352.94117 ≈ 882352.9

Round to the nearest whole number

882352.94117 ≈ 882353

Hope I helped!

6 0
3 years ago
we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to
Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

42% of freshmen do not visit their counselors regularly.

This means that \pi = 0.42

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}

\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2

n = 1076.8

Rounding up:

A sample of 1077 is required.

3 0
3 years ago
Write the result of subtracting the second equation from the first?
aksik [14]

Answer:

Could you please put a link to the question???

Step-by-step explanation:

We can only solve the question if you give us more info about the question.

8 0
3 years ago
What are the answers for 4 and 6?
gizmo_the_mogwai [7]
You don't really have a picture wot anything to go by so i don't know
7 0
3 years ago
Which of the following pairs of functions are inverses of each other?
AnnyKZ [126]

Answer:

Step-by-step explanation:

Rearrange each function to solve for x.

Switch x and y,

The resulting equation is the inverse function.

A:

f(x) = y = 5+x

x = y-5

y = x-5

f⁻¹(x) = x-5

g(x) = 5-x ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

:::::

B:

f(x) = y = 2x-9

x = (y+9)/2

y = (x+9)/2

f⁻¹(x) = (x+9)/2

g(x) = (x+9)/2 = f⁻¹(x)

g(x) is the inverse of f(x).

:::::

C:

f(x) = y = 2/x - 6

x = 2/(y+6)

y = 2/(x+6)

f⁻¹(x) = 2/(x+6)

g(x) = (x+6)/2 ≠ f⁻¹(x)

:::::

D:

f(x) = y = x/3 + 4

x = 3y - 12

y = 3x - 12

f⁻¹(x) = 3x - 12

g(x) = 3x - 4 ≠ f⁻¹(x)

g(x) is not the inverse of f(x).

4 0
2 years ago
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