The solution would be like
this for this specific problem:
A = (l + 20) · (w + 10)
The area of the pool is 1800 square feet and can be computed
also like l · w. Then l · w = 1800, and therefore l = 1800 w.
We plug in the values:
A = (1800 / w + 20) · (w + 10) = 1800 + 18000 / w + 20w +
200 = 18000 / w + 20w + 2000
dA /dw = − 18000 / w2 + 20
w = 30
l = 60
Since A = (l + 20) · (w + 10):
A = (60 + 20) · (30+ 10)
A = 3,200
<span>A(x) = 1800 + 2*10(x+10)+ 2*5(1800/x) </span><span>
<span>= 1800 + 20x + 200 + 18000/x </span>
<span>= 2000 + 20 x + 18000/x </span></span>
<span>20 - 18000/x^2 = 0 </span><span>
<span>x = sqrt (900) = 30 </span>
<span>Pool length dimension = 1800/x = 60 </span>
Lot dimensions: 80 x 40</span>
I am hoping that these answers
have satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
Answer:
The simplification for the expression is given as =( 7 + 2(a-3))/(a-3)
Step-by-step explanation:
To simplify the expression we will first convert the words to values in numbers and alphabets.
StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction
= 5/(a-3) -4/2 + 2/(a-3)
Having done that, let's move on and simplify the expression.
5/(a-3) -4/2 + 2/(a-3)
= 5/(a-3) -2+ 2/(a-3)
= 5/(a-3) + 2/(a-3) -2
= 7/(a-3) -2
=( 7 + 2(a-3))/(a-3)
Solution: Since, it’s a standard cone opening up on the positive x- axis
Therefore, x=√y2+z2
Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.
10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.
From above
So
The mean is
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Answer:
y = (-3/2)x - 3
Step-by-step explanation:
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given two points, we can calculate the slope by dividing the change in y (or the difference in the y-coordinates) by the change in x (or the difference in the x-coordinates). Our two points are (-4, 3) and (2, -6):
m = (3 - (-6)) / (-4 - 2) = 9 / (-6) = -3/2
So, we can update our equation:
y = (-3/2)x + b
The y-intercept is where the graph crosses the y-axis, or the y-value where x = 0. Let's plug in 3 for y and -4 for x:
3 = (-3/2) * (-4) + b
3 = 6 + b
b = -3
So, our y-intercept is -3.
Our slope-intercept form is thus:
y = (-3/2)x - 3
<em>~ an aesthetics lover</em>
