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Vilka [71]
3 years ago
15

The average waist size for teenage males is 29 inches with astandard deviation of 2 inches. If waist sizes are normallydistribut

ed, determine the z-score of a teenage male with a33 inch waist.
Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer:

The z-score of a teenage with waist size 33 inch is 2

Step-by-step explanation:

Mathematically, the z-score can be calculated using the formula;

z-score = (x- mean)/SD

where mean = 29 inches , SD = 2 inches and x = 33 inch

Plugging these values, we have

z-score = (33-29)/2 = 4/2 = 2

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Answer:

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Step-by-step explanation:

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7 0
2 years ago
Which system of linear inequalities Is represented by this graphed solution?
SashulF [63]

Answer:

y ≥ 3x - 1

y < -\frac{1}{2}x+2

Step-by-step explanation:

Let the equation of the solid line passing through (x', y') given in graph is,

y = mx + b

Here m = slope of the line

b = y-intercept

Slope of the solid line =

                                 m = \frac{3}{1}

                                 m = 3

y - intercept 'b' = -1

Therefore, equation of the line will be,

y = 3x - 1

Since, shaded (blue) area is above the line, inequality that will represent the solution area will be,

y ≥ 3x - 1

For the dotted line,

Slope of the line (m) = \frac{\text{Rise}}{\text{Run}}

                                  = \frac{-2}{4}

                                  = -\frac{1}{2}

y-intercept (b) = 2

Equation of the dotted line → y = -\frac{1}{2}x+2

Since, shaded (grey color) area is below the dotted line,

Inequality representing the solution area will be,

y < -\frac{1}{2}x+2

7 0
3 years ago
Factor each polynomial x^2-9x+10 <br> Show your work
jok3333 [9.3K]

Answer:

not factorable

Step-by-step explanation:

x^{2}  - 9x +10\\

The easiest way to factor is to find two numbers of the "a" value (the coefficient before x^{2}) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:

1          -10  --> 1(-10) gives you -10

1           -1    --> 1(-1) gives you -1

adding these together -10 + (-1) = -11 which does not equal -9.

You could stop here and conclude that this is not factorable by inspection.

Another method: using the quadratic formula to find its roots.

Roots: (\frac{9-\sqrt{41} }{2}, 0) and (\frac{9+\sqrt{41}}{2}, 0)

7 0
2 years ago
Jika 5log2 = x dan 5log6 = y, maka nilai 4log150 adalah​
icang [17]

Menjawab:

y + 2x

Penjelasan langkah demi langkah:

Menulis ulang pertanyaannya

4log5 = x

4log 6 = y

4 log 150 = 4log (2 * 3 * 5 * 5)

= 4log 6 + 4log 5 + 4log 5

Substrat

= y + x + x

= y + 2x

Oleh karena itu ekspresi yang dibutuhkan adalah y + 2x

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3 years ago
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