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STatiana [176]
2 years ago
5

Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and st

andard deviation 1. A ze-0.822-121 The area of the shaded region is (Round to four decimal places as needed.)
Mathematics
1 answer:
kirill115 [55]2 years ago
8 0

The area of the shaded region is 0.1271 (12.71%).

<h3>What is the z score?</h3>

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given:

Mean 0 and standard deviation 1. Hence, for z=-1.14:

P(z < -1.14) = 0.1271

The area of the shaded region is 0.1271 (12.71%).

Find out more on z score at: brainly.com/question/25638875

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Use the definition mtan=lim
Leokris [45]

(a) mtan refers to the slope of the tangent line. Given <em>f(x)</em> = 9 + 7<em>x</em> ², compute the difference quotient:

\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h

Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that

m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x

and so the slope of the line at <em>P</em> (0, 9), for which we take <em>x</em> = 0, is 0.

(b) The equation of the tangent line is then <em>y</em> = 9.

4 0
2 years ago
There where x cookies to the beginning of party.By the end of party 16 of then had been eaten.Using x write an expression for th
guajiro [1.7K]

Answer:

x-16= # of cookies left.

Step-by-step explanation:

8 0
3 years ago
7/20X5/5 equals? Any help<br> ?
Elza [17]
7/20. 5/5 =1 explanation
4 0
2 years ago
X2 - 12x -6=0<br> Complete the square
ValentinkaMS [17]

Answer:

(x - 6)^2 = 42

Step-by-step explanation:

Using " ^ " to indicate exponentiation, we have:

x^2 - 12x -6=0

Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.

Start by taking HALF of the coefficient of x, that is, HALF of -12.  We get -6.

Next, square this result:  (-6)^2 = 36.

Finally, add this 36 to both sides, obtaining:

x^2 - 12x + 36 - 6 = 36

Rewriting the first three terms, we get:

(x - 6)^2 - 6 = 36, or

(x - 6)^2 = 42   This is the end result to "completing the square."

If you want to go further and actually solve for x, then see below:

Taking the square root of both sides, we get

x - 6 = ±√42

Then x = 6 ± √42, or

x = 6 + √42 and

x = 6 - √42

8 0
3 years ago
Р -9/3=2<br>(this is algebra 1)​
julsineya [31]

Answer:

3 because 3-9=6 and 6/3=2

8 0
2 years ago
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