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fgiga [73]
2 years ago
8

Given a normally distributed data set with the mean = 88 and the standard deviation = 6, according to the empirical rule, what p

ercent of the data points are below 100?
Mathematics
1 answer:
kumpel [21]2 years ago
5 0

According to the empirical rule, the percent of the data points that are below 100 is; 95.44%

<h3>How to use Empirical Rule in Statistics?</h3>

We are given;

Mean; μ = 88

Standard deviation; σ = 6

Sample mean; x' = 100

Formula for z-score is;

z = (x' -  μ)/σ

z = (100 - 88)/6

z = 2

Now, from the empirical rule of normal distribution graph attached, we see that at z = 2, the percentage is 95.44%. However, we want to find the percentage that lie below 100. Thus, this is 95.44%

Read more about Statistics Empirical Rule at; brainly.com/question/10093236

#SPJ1

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Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e
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ANSWER

y = 2x -4

EXPLANATION

Part a)

Eliminating the parameter:

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We put it into the second equation.

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y =  { ({e}^{2(x - 5)}) }  + 5

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At x=5,

\frac{dy}{dx}  = 2 {e}^{2(5 - 5)}

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The slope of the tangent is 2.

The equation of the tangent through

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y-y_1=m(x-x_1)

y - 6 = 2(x - 5)

y = 2x - 10 + 6

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Without eliminating the parameter,

\frac{dy}{dx}  =  \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }

\frac{dy}{dx}  =  \frac{ 2t}{  \frac{1}{t} }

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At x=5,

5 = 5 +  ln(t)

ln(t)  = 0

t =  {e}^{0}  = 1

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\frac{dy}{dx}  =  2 {(1)}^{2}  = 2

The slope of the tangent is 2.

The equation of the tangent through

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y-y_1=m(x-x_1)

y - 6 = 2(x - 5) =

y = 2x -4

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4 years ago
A non-profit organization provides homeless children with backpacks filled with school supplies. For the last 5 years the organi
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Answer:

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