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Mars2501 [29]
3 years ago
6

How to find the area of the base of a cone ​

Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

Step-by-step explanation:

The base of a cone is simply a circle.

The formula for the area of a circle is A = πr^2.

Example:  What is the area of the base of a cone, if the radius of the base is 5 cm?

Answer:   A = π(5 cm)^2 = 25π cm^2

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The polygons in each pair are similar. Find the missing side length.
Taya2010 [7]

Answer:

12

Step-by-step explanation:

If you flip the polygon on the right so it looks like the polygon on the left, the scale factor for the small polygon to the big polygon is 32/40 or 4/5.

Now use that scale factor, 4/5, to find the missing length

4/5 = ?/15

5*3 = 15 so 4*3 = ?

? = 12

3 0
3 years ago
A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

\hat{p}=\dfrac{25}{123}\approx0.203252

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

Confidence interval for population :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}

0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0
4 years ago
Eric has 5 CDs that he is going to give away. He lets his best friend choose 3 of the 5 CDs. How many different groups of 3 CDs
Snowcat [4.5K]
Given a group of n object. We want to make a selection of k objects out of the n object. This can be done in 

C(n, k) many ways, where C(n, k)= \frac{n!}{k!(n-k)!},

where k!=1*2*3*...(k-1)*k


Thus, we can do the selection of 3 cd's out of 5, in C(5,3) many ways, 

where 

C(5, 3)= \frac{5!}{3!2!}= \frac{5*4*3*2*1}{3*2*1*2*1}= \frac{5*4}{2}=10

Answer: 10
5 0
3 years ago
What’s the measure of b?
barxatty [35]
It’s 79. Alternate exterior angles are equal.
5 0
4 years ago
Step 1 of 3: Each year a nationally recognized publication conducts its Survey of America’s Best Graduate and Professional Schoo
lukranit [14]

Answer:

Step-by-step explanation:

Hello!

Given the variables

Y: Starting salary of a graduate at a top business school

X: GMAT score of the business school

The sample used had a size n=20

The estimated regression equation was ^Y= -92040 + 228Xi

The correlation coefficients were r= 0.81

You need to know if r is statistically significant at a 0.05 level:

Assuming the hypotheses are:

H₀: There is a linear correlation between the variables of interest

H₁: There is no linear correlation between the variables of interest

α: 0.05

This test is two-tailed.

The p-value for a r=0.81 and n=20 is 0.000015

Using the p-value approach, the decision rule is:

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

In this case, the p-value is less than α, the decision is to reject the null hypothesis.

At a 5% level, you can conclude that the coefficient of correlation is statistically significant.

4 0
3 years ago
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