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algol13
3 years ago
5

Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.

Mathematics
2 answers:
Bad White [126]3 years ago
8 0
Let age of sarah is x then ralph is 3x
after 4 years sarah age is x+4 and ralph age is 3x+4
acc to stat 3x+4=2(x+4)
3x-2x=8-4
x=4
sarah age is 4 years and ralph age is 12 years
fiasKO [112]3 years ago
4 0
Ralph is 12. If Ralph is 12 that means Sara is 4 (12/4=3). In 4 years Sara will be 8 and Ralph would be 16 (16/8=2).
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3 years ago
Carl has a square table cloth with a total of 150 square feet. Which measurement is closest to the length of one side of the tab
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8 0
3 years ago
The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level
aleksandrvk [35]

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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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Yes it makes it a true statement because if my math is correct it will add up and the negative is not canceled. That’s only with multiplication
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3 years ago
Read 2 more answers
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