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4 years ago

12

How do you find the surface area of a cylinder with 580.9 cubic units?

1 answer:

Andreas93 [3]4 years ago

6 0

Since we don't know the dimensions of the shape, I can only help you with the procedure.

To find the surface area, you will need to know the height and radius of the cylinder.

Then, the formula is: $SA = 2 \pi rh+2 \pi r^2$

If you have those measurements, go ahead and use them. If you don't have them already, you will have to work backwards from the volume to find them.

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Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates for a sample

adelina 88 [10]

Answer:

$\sigma = 12.5$ ---- sample standard deviation

$\sigma^2 = 157.2$ ---- sample variance

Step-by-step explanation:

Solving (a): The sample variance

First, we calculate the midpoint of each class (this is the average of the limits)

So, we have:

$x_1 = \frac{56 + 64}{2} = 60$

$x_2 = \frac{65 + 73}{2} = 69$

And so on

So, the table becomes:

$\begin{array}{cc}{x} & {f} & {60} & {11} & {69} & {15} & {78} & {14} & {87} & {4} & {96} & 11 \ \end{array}$

Calculate the mean

$\bar x = \frac{\sum fx}{\sum f}$

$\bar x = \frac{60*11+69*15+78*14+87*4+96*11}{11+15+14+4+11}$

$\bar x = \frac{4191}{55}$

$\bar x = 76.2$

The variance is:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}$

So, we have:

$\sigma^2 = \frac{(60 - 76.2)^2*11+(69 - 76.2)^2*15+(78 - 76.2)^2 *14+(87 - 76.2)^2*4+(96 - 76.2)^2*11}{11+15+14+4+11-1}$

$\sigma^2 = \frac{8488.8}{54}$

$\sigma^2 = 157.2$

The sample standard deviation is:

$\sigma = \sqrt{\sigma^2$

$\sigma = \sqrt{157.2$

$\sigma = 12.5$

Solving (b): The sample variance

In (a), we calculate the sample variance to be:

$\sigma^2 = 157.2$

6 0

3 years ago

What is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12)in slope-intercept form?

Darya [45]

Answer:

y=1/2x+3/4

Step-by-step explanation:

7 0

3 years ago

Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (the answer is NOT 61

Anika [276]

Answer:

x=61.71428 or 61 5/7

Step-by-step explanation:

We can use a ratio to solve

7 pieces 12 pieces

----------------- = ---------------

36 seconds x seconds

Using cross products

7x = 36*12

7x = 432

Divide by 7

7x/7 = 432/7

61 5/7

x=61.71428

3 0

3 years ago

Read 2 more answers

Which of the following can be used to show that these triangles are congruent?

Illusion [34]

A
The hidden information is that angleACB is equal to angle DCE
Brainliest pls!

8 0

2 years ago

PLEASE HELP!!! I will give Brainliest

Yuki888 [10]

Answer:

B. 2 right, 4 up

Step-by-step explanation:

When translating the signs act opposite to what you expect:

+ -

x left right

y down up

6 0

3 years ago