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Kaylis [27]
3 years ago
7

In the United States, the distribution of a female's height has a mean of 64 inches with a standard deviation of 3 inches. How m

any standard deviations from the mean is Sally, who is 69 inches tall?
Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

The standard deviations is \frac{-5}{3}  

Step-by-step explanation:"

Given mean female height = 64 inches and standard devaiton = 3 inches and 69 inches tall is Sally.

We know the distance of a data point from:

Z =\frac{64-69}{3} = \frac{-5}{3}

So the standard deviations is \frac{-5}{3}  

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The altitude of a triangle is 2 m longer than its base. What are the dimensions of the altitude and the base if thearea of the t
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area \: of \:  \triangle =  \frac{1}{2}  \times base \times altitude \\  \\ 40 =  \frac{1}{2}  \times x \times (x + 2) \\  \\ 80 =  {x }^{2} +2x \\  \\   {x}^{2}  + 2x - 80 = 0 \\  {x}^{2}  + 10x - 8x - 80 \\ x(x + 10) - 8(x + 10)  = 0\\ (x + 10)(x - 8) = 0 \\ x + 10 = 0 \:  \: or \:  \: x - 8 = 0 \\ x =  - 10 \:  \: or \:  \: x = 8 \\ base \: can \: not \: be \:  - ve \\ x \neq - 10 \\ x = 8 \\ x + 2 = 8 + 2 = 10 \\

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