Answer:
P=$254
Step-by-step explanation:
let Hot N' Spicy be x
and Mild Mannered be y
the objective function is
38x+35y=P
the constraints are
1. tomato sauce
2x+3y=18--------1
2. hot peppers
2x+y=10--------2
solving 1 and 2 we have
using substitution method
2x+y=10--------2
y=10-2x
put y=10-2x in eqn 1
2x+3(10-2x)=18
2x+30-6x=18
2x-6x=18-30
-4x=-12
x=12/4
x=3
put x=3 in eqn 2 we have
2(3)+y=10
6+y=10
y=10-6
y=4
He should make 3 gallons of Hot N' Spicy
and 4 gallons Mild Mannered
38(3)+35(4)=P
114+140=P
254=P
P=$254
Answer:
2x-10
Step-by-step explanation:
Answer:
The correlation coefficient 0.5 depicts that there is moderate positive correlation between y and x.
Step-by-step explanation:
The linear regression equation is
y= a+bx
The given linear equation is
y= 10x
Here, slope=b=10 and intercept=a=0.
From above equation,
ybar=10xbar
We are given that CVx=0.1 and CVy=0.2
where CV=(standard deviation/mean)*100
We know that
b=r(Sy/Sx)
Multiplying by xbar/ybar on both sides
(xbar/ybar)b=r(Sy/Sx)(xbar/ybar)
(xbar/ybar)b=r[(Sy/ybar)/(Sx/xbar))]
(xbar/ybar)b=r[CVy/CVx]
As CVy/CVx=(Sy/ybar)*100/(Sx/xbar)*100=(Sy/ybar)/(Sx/xbar).
By putting ybar=10xbar, b=10, CVx=0.1 and CVy=0.2.
(xbar/10xbar)10=r(0.2/0.1)
1=r(0.2/0.1)
1=r(2)
r=0.5
There is moderate positive correlation between y and x.
Answer: There are eight steps and two methods. I will be showing you one of them. If you're wondering, I am in 7th grade. I go to K12 online school.
Step-by-step Explanation: 1. Add together the lengths of the bases. The bases are the 2 sides of the trapezoid that are parallel with one another. If you aren’t given the values for the base lengths, then use a ruler to measure each one. Add the 2 lengths together so you have 1 value.[1]
For example, if you find that the top base (b1) is 8 cm and the bottom base (b2) is 13 cm, the total length of the bases is 21 (8 cm + 13 cm = 21 cm, which reflects the "b = b1 + b2" part of the equation).
2. Measure the height of the trapezoid. The height of the trapezoid is the distance between the parallel bases. Draw a line between the bases, and use a ruler or other measuring device to find the distance. Write the height down so you don’t forget it later in your calculation.[2]
The length of the angled sides, or the legs of the trapezoid, is not the same as the height. The leg length is only the same as the height of the leg is perpendicular to the bases.
3. Multiply the total base length and height together. Take the sum of the base lengths you found (b) and the height (h) and multiply them together. Write the product in the appropriate square units for your problem.[3]
In this example, 21 cm x 7 cm = 147 cm2 which reflects the "(b)h" part of the equation.
4. Multiply the product by ½ to find the area of the trapezoid. You can either multiply the product by ½ or divide the product by 2 to get the final area of the trapezoid since the result will be the same. Make sure you label your final answer in square units.[4]
For this example, 147 cm2 / 2 = 73.5 cm2, which is the area (A).
Assuming that is 2 right triangles sharing a side
height^2 = 20^2 -7^2
height^2 = 400 - 49
height^2 = 351
height =
<span>
<span>
<span>
18.7349939952
</span>
</span>
</span>
x^2 = 24^2 - <span>18.7349939952^2
x^2 = 576 -351
x^2 = 225
x = 15
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