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Arada [10]
2 years ago
11

There are 12 cans of soup in a carton. Each can has a

Mathematics
1 answer:
pickupchik [31]2 years ago
7 0

Answer:

The required amount of paper is 2715.23 cm^{2}.

Step-by-step explanation:

The cans of soup has a shape of a cylinder, so that;

The surface area around a cylinder = 2\pirh

Where: r is the radius of the can, and h is its height.

From the given question, diameter = 8 cm, then;

radius = \frac{diameter}{2}

          = \frac{8}{2}

r  = 4 cm

Surface area around one of the cans = 2 x \frac{22}{7} x 4 x 9

                                                = 226.2857

Surface area around one of the cans = 226.28 cm^{2}

So that, the total amount of paper required to make labels around each of the 12 cans can be determined by:

12 x 226.2857 = 2715.4284

The required amount of paper is 2715.23 cm^{2}.

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the diameters of Douglas firs grown at a Christmas tree farm are normally distributed with a mean of 4 inches and a standard dev
aksik [14]

Answer:

Proportion of the trees will have diameters between 2 and 6 inches = 0.8164

Step-by-step explanation:

Given -

Mean (\nu )  = 4

Standard deviation (\sigma  ) = 1.5

Let X be the diameter of tree

proportion of the trees will have diameters between 2 and 6 inches =

P(2<  X<  6)   =  P(\frac{2 - 4 }{1.5}< \frac{X - \nu }{\sigma}<  \frac{6 - 4 }{1.5})

                         = P(\frac{-2 }{1.5}< Z<  \frac{2 }{1.5})     Put  [Z = \frac{X - \nu }{\sigma}]

                         =  P(-1.33< Z<  1.33)

                          = (Z<  1.33) - (Z<  -1.33)

                          = .9082 - .0918

                           = 0.8164

6 0
3 years ago
Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.
Zarrin [17]

Answer:

The answer is 7/36.

Step-by-step explanation:

First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.

6 0
3 years ago
What is 3/8 x 16/7? i don't know. it is for my math homework?
liberstina [14]
Multiply the top and bottom.

3/8 * 16/7 = 48/56

Simplified: 5/7
6 0
3 years ago
The mean of a population being sampled is 64, and the standard deviation is 6. If the sample size is 50, the standard error of t
Serjik [45]
Given:
mean = 64
standard deviation = 6
sample size = 50

Standard error of the sample mean = standard deviation / √sample size

Standard error = 6 / √50 = 6/7.07 =<span> 0.85</span>
8 0
3 years ago
Read 2 more answers
Find the slope \mathrm{m}m of the line in the graph below. ​ ​ \mathrm{m} =m=
yulyashka [42]

Answer:

m=4 or m=\frac{4}{1}

Step-by-step explanation:

To find slope we use the slope formula

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }

Two points on the line we can classify are (3,4) and (4,8)

5 0
2 years ago
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