Answer:
b=-0.0019a + 215
at 2500 ft, b=210.25 degrees F
Step-by-step explanation:
First find the slope. a=altitude, b = temperature
slope is b2-b1 / a2-a1
points are (8200, 199.42) and (4700, 206.07)
(206.07 - 199.42) / (4700-8200)
= 6.65/ -3500
= - 0.0019
we have b = -0.0019a + intercept
plug in a point to find intercept
199.42 = -0.0019*8200 + intercept
intercept = 199.42 + 15.58 = 215
b=-0.0019a + 215
at a=2500 ft, substitute into equation
b= -0.0019*2500 + 215
= -4.75 + 215
= 210.25 degrees F
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Answer:
if the net where to be folded into a cube number 6 will be opposite number 1.
Step-by-step explanation:
If the net where folded into a cube the number that will be opposite to number 1 will be 6 . The best way to know this is by simply cutting a paper similar to the shape of the net above and numbering them as required . Folding the paper to form a cube, you will discover that the number 6 is opposite the number 1 value.
Or from the picture you will notice when you close the number 5, the number 4 will be on top of number 1 and the 6 can then be bend down which makes it opposite the number 1.
Answer:
The closest to the maximum profit is ![x = \$ 83682](https://tex.z-dn.net/?f=x%20%3D%20%5C%24%2083682)
Step-by-step explanation:
From the question we are told that
The mean is ![\mu = \$66,000](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20%5C%2466%2C000)
The standard deviation is ![\sigma = \$ 21000](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%5C%24%2021000)
The percentage of profit is 20%
Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated as follows
![P(X > x ) = 0.20](https://tex.z-dn.net/?f=P%28X%20%3E%20%20x%20%29%20%3D%20%200.20)
=> ![P(X > x ) = P(\frac{X -x}{\sigma } > \frac{x -66000}{21000} ) = 0.20](https://tex.z-dn.net/?f=P%28X%20%3E%20%20x%20%29%20%3D%20P%28%5Cfrac%7BX%20-x%7D%7B%5Csigma%20%7D%20%20%3E%20%20%5Cfrac%7Bx%20-66000%7D%7B21000%7D%20%29%20%3D%20%200.20)
From the z-table the z-score for 0.20 is
![z-score = 0.842](https://tex.z-dn.net/?f=z-score%20%3D%20%200.842)
So
![\frac{x -66000}{21000} = 0.842](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20-66000%7D%7B21000%7D%20%20%3D%200.842)
=> ![x = \$ 83682](https://tex.z-dn.net/?f=x%20%3D%20%5C%24%2083682)
Answer:
303
Step-by-step explanation:
xₙ = x₁ + 9 * (n-1)
x₃₄ = 6 + 9 * (34-1) = 6 + 9 * 33 = 303
Answer:
(6,10)
Step-by-step explanation:
Used a calculator