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Natasha2012 [34]
3 years ago
7

Very easy math question

Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

Answer:

C. 179 ft²

Step-by-step explanation:

Area of circular path or walkway

= π × (R + r) × width

Where

R= Outer radius

r = Inner Radius

Diameter = 16 feet

Width = 3 feet

Inner Radius = Diameter/2

= 16 feet/2 = 8 feet

Outer Radius = 8 + 3 = 11 ft

Hence:

= π × (11 + 8) × 3

= π × 19 × 3

= 179.07078125 ft²

Approximately = 179 ft²

The area of the circular walkway = 179ft²

Option C is correct.

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Simplify 45/150 show work please:)
Jlenok [28]

Answer:

\frac{3}{10}

Step-by-step explanation:

\frac{45}{150}  15 can go into both 45 and 150 so you divide both into that

45/15 is 3

150/15=10

\frac{3}{10}

7 0
3 years ago
Hi if u could help me that'd be great
WINSTONCH [101]

Answer:

1 hour and 45 minutes

and 1 hour

Step-by-step explanation:

x= run

y= walk

5x+2.5y = distance

5x+2.5(1.5)=12.5

solve for x

5x=8.75

x=1.75

1.75 in hours is 1 hour and (60*.75)=45

1 hour and 45 minutes

" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"

We use the same equation

5x+2.5y=distance

we'll assume that they till walked 12.5 miles

which means that

5(2)+2.5y=12.5

solve for y

2.5=2.5y

y=1

1 hour

8 0
3 years ago
Read 2 more answers
A random sample of 50 recent college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.
Anna007 [38]

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean <em>μ, </em>when the population standard deviation is not known is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

The information provided is:

\bar x=4.58\\s=1.10\\\alpha =0.10

Compute the critical value of <em>t</em> for 90% confidence interval and (n - 1) degrees of freedom as follows:

t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671

*Use a <em>t</em>-table for the probability.

Compute the 90% confidence interval for population mean <em>μ</em> as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

     =4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

<em>Hₐ</em>:<em> </em>The mean time it takes to complete a bachelor’s degree is 4 years, i.e. <em>μ </em>= 4.

<em>Hₐ</em>:<em> </em>The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. <em>μ </em>≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. <em>μ </em>= 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

4 0
3 years ago
The maximum number of students in a classrom is 26 if there are 16 signed up for the art class
Aleks04 [339]

Answer:whats the question

Step-by-step explanation:question?

5 0
3 years ago
If the y is infinity and f(n/y)*1/y is 1/(x^2 + x), what is f(x)?
erastova [34]

Answer:

x"2^^1/y

I took this test and got question 4 correct

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4 0
1 year ago
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