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gogolik [260]
2 years ago
7

Find the circumference and area of a circle with diameter 22 ft.

Mathematics
2 answers:
Nat2105 [25]2 years ago
8 0
Jsjjduusu cjusuuahd ciusuux
Vlad [161]2 years ago
8 0

Answer:

C ≅ 69.08

a= 380.1 square inches

Step-by-step explanation:

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a box of chocolate contains 5 milk chocolate dark chocolate and 5 white chocolate you randomly selecting III chocolates the firs
nordsb [41]

Answer:

independent

Step-by-step explanation:

because each chocolate was a different flavor

5 0
3 years ago
What is the y-intercept of the line that passes
lara [203]

The slope is

\frac{-13-31}{1-(-10)}=-4

So, the equation is

y+13=-4(x-1)

The y-intercept is when x=0, so

y+13=-4(0-1) \\ \\ y+13=4 \\ \\ \boxed{y=-9}

5 0
1 year ago
Find the length of the indicated
Vladimir [108]

Answer:

25

Step-by-step explanation:

5 0
3 years ago
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
Write the equation of the line in slope-intercept form that has a slope of -5/2 and passes through the point (14,-39)
bonufazy [111]

Answer:

Step-by-step explanation:

The equation of the line in point-slope form;

y+39 = (-5/2)(x-14)

Rearrange to solve for y:

y+39 = (-5/2)x + 35

y = (-5/2)x + 4

4 0
3 years ago
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