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lapo4ka [179]
3 years ago
14

The equation of line s is y=1/3x-3. The equation of line t is y=-x+5. the equations of line s and t form a system of equations.

The solution to the system of equations is located at point P. What would the graph look like?

Mathematics
1 answer:
BigorU [14]3 years ago
6 0
Y=-x+5

-x+5=1/3x-3
-x+8=1/3x
8=4/3x
6=x

y=-6+5
y=-1

C.
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Answer:

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(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with  

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the normal probability density function is given by  

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(a) P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx = 0.5899

   (in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking P(\bar{X} < 63) where n = 37. \bar{X} is normally distributed with mean 62.5 in and standard deviation 2.2/\sqrt{37}. So, the probability density function is given by

g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}, and

P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

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