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Bingel [31]
3 years ago
7

Empirical rule (statistics)Help please!!!

Mathematics
1 answer:
emmasim [6.3K]3 years ago
8 0

The empirical rule you're referring to is the 68-95-99.7 rule, which asserts that for a normal (bell-shaped) distribution, approximately 68% of the distribution lies within 1 standard deviation of the mean; 95% lies within 2 standard deviations of the mean; and 99.7% lies within 3 standard deviations of the mean.

Let X be the random variable denoting vehicle speeds along this highway. We want to find P(61. To use the rule, we need to rephrase this probability in terms of the mean and standard deviation.

Notice that 61=70-9=70-3\cdot3, and 79=70+9=70+3\cdot3. In other words, 61 and 79 both lie exactly 3 standard deviations away from the mean, so P(61.

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the answer to your question is -12





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jacob bought a place mat. The place mat has four sides and only one pair of parallel sides. Which could be the shape of Jacob's
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A rectangle is the answer 
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Integrate the following:<br><img src="https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Cint%20%5C%3A%20%20%5Ctan%28x%29%20%20%20%5
Korvikt [17]

Answer:

\huge \boxed{\red{ \boxed{  -  \cos(x)  + C}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • integration
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<h3>tips and formulas:</h3>
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  • \sf \displaystyle \int  \sin(x)   \: dx =    - \cos(x)  +   C
<h3>let's solve:</h3>
  1. \sf \: rewrite \:  \tan( \theta)  \:  as \:   \dfrac{ \sin( \theta) }{ \cos( \theta) }  :  \\   =  \displaystyle  \int \:  \frac{ \sin(x) }{ \cos(x) }  \cos(x)  \: dx \\   = \displaystyle \int \:  \frac{ \sin(x) }{ \cancel{\cos(x) }}   \: \cancel{ \cos(x)}  \: dx \\     = \displaystyle \int \:  \sin(x)   \: dx
  2. \sf \: use \: the \: formula : \\   \sf \displaystyle     - \cos(x)
  3. \sf add \: constant :  \\   -  \cos(x)  + C

\text{And we are done!}

6 0
2 years ago
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What are the coordinates of the hole in the graph of the function?
MakcuM [25]

Answer:

The hole is at (5,7)

Step-by-step explanation:

x^2 − 3x − 10

-------------------

x−5

Factor the numerator

(x-5)(x+2)

-------------------

x−5

There is a hole at x=5 since it will cancel in the numerator and the denominator

f(x) = x+2  and letting x = 5

f(5) = 5+2

The hole is at (5,7)

4 0
3 years ago
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), c
77julia77 [94]

The graphed function, F(x), has a value greater than 0 over the intervals (-0.7, 0.76) and (0.76,  ∞) . F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞) is the correct statement [Fourth choice].

About a Graphed Function

The function graph of an object F stands for the set of all points in the plane that are (x, f(x)). The graph of f is also known as the graph of y = f. (x). The graph of an equation is thus a specific example of the graph of a function. A graphed function is a function that has been drawn out on a graph.

It is evident from the attached graph that the supplied function exceeds 0 for the following range:

-0.7 < F(x) < 0.76

And, 0.76 < F(x) < ∞

As a result, the intervals for which the given graphed function, F(x) is greater than 0 are as follows,

(-0.7, 0.76) and (0.76, ∞)

Learn more about a graphed function here:

brainly.com/question/27757761

#SPJ1

3 0
1 year ago
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