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pashok25 [27]
3 years ago
8

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
yan [13]3 years ago
7 0

Answer:

  138.16 in²

Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

  SA = B + LA

  = πr² + (1/2)(2πrh) . . . . where h is the slant height

  = (πr)(r +h)

Filling in the numbers, you have ...

  SA = (3.14)(4 in)(4 in + 7 in) = 3.14×(44 in²) = 138.16 in²

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I think the answer is C. "He made a place value error when dividing. If he would have divided 1.09 by 8, he would have found the price of each individual pen.

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The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level
aleksandrvk [35]

Answer:

a) mean = 0.2

variance = 0.0391

standard deviation = 0.198

b) The average hurricane is aprox. category 2.*  (B)

Step-by-step explanation:

In order to find the mean, variance, and standard deviation, let us for a table for the data:

level            x

1             0.411

2            0.278

3            0.221

4            0.080

5            0.010

Calculating the mean (\bar{x})

\bar{x} = \frac{x_1+x_2+x_3+x_4 + x_5}{n}\\\\\bar{x} = \frac{0.411 + 0.278 + 0.221 + 0.080 + 0.010}{5}\\\bar{x} = \frac{1}{5}\\ \bar{x}  = 0.2

∴Mean = 0.2

level            x         x- \bar{x}         (x - \bar{x})^2  

1             0.411         0.211         0.0445  

2            0.278       0.078        0.0608

3            0.221        0.021         0.000441    

4            0.080        -0.12         0.0144

5            0.010         -0.19         0.0361

                                              \sum(x - \bar{x})^2 = 0.1562

variance = \frac{\sum(x - \bar{x})^2}{n-1} \\variance = \frac{0.1562}{4} \\variance = 0.0391

standard deviation = √(variance)

Standard deviation = √(0.0391)

Standard deviation = 0.198

b) the average hurricane is aprox.  category 2 (B)

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3 years ago
Kori bought 56 boxes of tiles from the home improvement store, which was es 4/7 of the total number of boxes that they had. How
dimaraw [331]

Answer:

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Step-by-step explanation:

If 56 is  \frac{4}{7} of the total, we can set up an equation like this:

56=\frac{4}{7}*T

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Solving for T gives us the answer:

56=\frac{4}{7}T\\T=\frac{56}{\frac{4}{7}}\\T=56*\frac{7}{4}\\T=98

There were 98 boxes in total.

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3 years ago
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