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enot [183]
2 years ago
12

Pls help The surface area of a cone is given by the formula S= al +712. Solve the formula for 2.

Mathematics
1 answer:
Luda [366]2 years ago
7 0

Answer:

l = (S/pi)-r^2

Step-by-step explanation:

Just rearrange the equation.

S = pi*l + pi * r^2

S-pi*r^2 = pi*l

l = (S-pi*r^2)/pi

l = (S/pi)-r^2

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Seven plus five times a number is gteater than or equal to negative 9​
zubka84 [21]

Step-by-step explanation:

7+5(x) ( between here write the greater than or equal to sign) -9

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2 years ago
The Ohio Department of Agriculture tested 203 fuel samples across the state
Rus_ich [418]

Answer:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

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

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The proportion estimated would be:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

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

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

3 0
3 years ago
Read 2 more answers
35 birds to 45 birds?
olya-2409 [2.1K]
I'm not sure what your trying to ask is that the full question 

6 0
3 years ago
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Please click on the file and answer ASAP.
Annette [7]

Answer: Part a) 375 pounds, Part b) 8 words

Step-by-step explanation:

a)

<u />

Since n represents the number of words there are, we can plug in 20 for n into the equation to get:

C = 15*20 + 75 pounds

C = 300 + 75 pounds

C = 375 pounds

b)

Since C represents the cost of the advert, we can plug in 195 for C into the equation to get:

195 = 15n + 75

Subtract 75 from both sides:

120 = 15n

Divide both sides by 15:

n = 8 words

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2 years ago
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Answer:

A

Step-by-step explanation:

Im not sure if its correct tho dont quote me on it ;(

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3 years ago
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