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Makovka662 [10]
2 years ago
10

What is the lateral area of the cone?

Mathematics
1 answer:
Agata [3.3K]2 years ago
5 0
Your answer would be ~ 305.83 !!
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Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z =
irina1246 [14]

Answer:

Sally's temperature is 97.27 °F.

Step-by-step explanation:

All the information given in the question tells us that the human body temperatures are normally distributed with a population's mean = 98.20°F and a standard deviation = 0.62°F.

The question gives us Sally's temperature in a <em>z-score</em>. We have to remember that the <em>standard normal distribution</em> is a particular case of a <em>normal distribution</em> where the mean = 0 and the standard deviation = 1.

Using <em>the standard normal distribution,</em> we can determine every probability associated with a normal distribution "transforming" the raw scores, coming from normally distributed data, into z-scores.

A z-score gives us the distance from the population's mean and is in standard deviation units. So, a z = 1.5 tells us that the value is 1.5 standard deviations <em>above the mean</em>. Conversely, a z = -1.5 tells us that the raw score is also 1.5 standard deviation from the mean, but in the opposite direction, that is, <em>below the mean</em>.

The formula for a z-score is as follows:

\\ z = \frac{x - \mu}{\sigma} (1)

Where

\\ x\;is\;the\;raw\;score.

\\ \mu\;is\;the\;population\;mean.

\\ \sigma\;is\;the\;population\;standard\;deviation.

Then to find <em>x </em>(or the raw score, that is, Sally's temperature), we need to solve the formula (1) for it to finally solve the question.

Then

\\ \mu = 98.20^\circF °F

\\ \sigma = 0.62^\circF °F

\\ z = -1.5

Thus (with no units)

\\ -1.5 = \frac{x - 98.20}{0.62}

\\ (-1.5*0.62) = x - 98.20

\\ (-1.5*0.62) + 98.20 = x

\\ x = (-1.5*0.62) + 98.20

\\ -0.93 + 98.20

\\ x = 97.27°F

Thus, Sally's temperature is \\ x = 97.27°F (rounding the answer to the nearest hundredth).

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3 years ago
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1. A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equa
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C.) 10c 1800+15c

Step-by-step explanation:

The cost of daily operation for the business is $1,800/day, and $10/cake made. To put this into an equation, put the expenses on one side and what you're trying to make a profit off of on the other. Then solve for c.  

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3 years ago
In the triangle below, what is the length of the side opposite the 60° angle?
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3SQRT(3).  It is equal to the short side time Square Root of 3.

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WILL MARK BRAINLIEST PLEASE HELP I NEED SOME SMART PEOPLE WILL MARK BRAINLIEST!!!
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Answer:

The answer is 6\frac{5}{8}

Step-by-step explanation:

-12 pounds + 5\frac{3}{8}

-12+5\frac{3}{8}

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=(-7)+\frac{3}{8\\}

=-6\frac{5}{8}

Mr.Yoo's weight dropped by 6\frac{5}{8}

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