I’m not positive but I’m thinking you are supposed to draw the door and window or color them in and each small square counts as a foot so like 7 of the squares is 7 feet so after you color in the door and window it will show what part needs to be painted
The probability that a randomly selected x-value from the distribution will be in the interval:
- P(35 < x < 45) = 0.6827 and,
- P(30 < x < 40) = 0.47725
<h3>What is the probability of a normal distribution?</h3>
The probability of a normal distribution can be determined from the symmetrical curve between 1 to 100%.
From the information given:
- Mean = 40
- Standard deviation = 5
To determine the probability that a randomly selected x-value is in the given interval:
![\mathbf{P(35 < x < 45) = P[Z\le 1] -P[Z\le -1]}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%2835%20%3C%20x%20%3C%2045%29%20%3D%20P%5BZ%5Cle%201%5D%20-P%5BZ%5Cle%20-1%5D%7D)
Using normal distribution table:
P(35 < x < 45) = 0.8414 - 0.1587
P(35 < x < 45) = 0.6827
![\mathbf{P(30 < x < 40) = P[Z\le0]-P[Z\le -2]}](https://tex.z-dn.net/?f=%5Cmathbf%7BP%2830%20%3C%20x%20%3C%2040%29%20%3D%20P%5BZ%5Cle0%5D-P%5BZ%5Cle%20-2%5D%7D)
Using normal distribution table:
P(30 < x < 40) = 0.5 - 0.02275
P(30 < x < 40) = 0.47725
Learn more about the probability of a normal distribution here:
brainly.com/question/4079902
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Answer:
I think its 86
Step-by-step explanation:
I used a calculator.
Let x represent the larger number.
.. x -(46 -x) = 14 . .the difference is 14
.. 2x = 60 . . . . . . simplify
.. x = 30 . . . . . . . divide by 2
The larger number is 30; the smaller is 16.
Answer:
177.3 feet
This is a classic find the vertex of a parabola question.
if this was a calculus class the solution would be to take the derivative and set it equal to zero... -32t+ 105 = 0
BUT i assume that you are not in a calculus class..
so we try plan "B" the highest (or lowest) point of parabola is it's vertex
the vertex formula is [-b/2a,f(-b/2a)]
in your problem a = -16, b=105, c= 5
so the "X" (TIME) is located at -(105)/(2*-16) = 3.28
plug in 3.28 into -16(3.28)^2 + 105(3.28) + 5 = 177.27
and you will get
Step-by-step explanation:
