For this case, the first thing we must do is define variables:
x: number of pillowcases
y: number of sheets
We now write the system of equations:
2x + 5y = 40
x = 2y
Solving the system we have:
x = 8.9
y = 4.4
Answer:
The maximum number of pillowcases she could have purchased is:
x = 8 (spent less than $ 40)
Cylinder (A):
-Surface area: adding all areas of all faces of the shape.
*10 x 6= 60m^3
*3.14 x 3^2 = 28.274 m^2. Then We times it by 2 since we have 2 circles. Which equals to 56.55m^2
Total surface area: 60 + 56.55 = 116.55m^2
-Volume: 3.14 x r^2 x h, then substitute.
*3.14 x 3^2 x 10 = 282.74m^3
(B):
-surface area:
*7 x 11= 77
*5 x 11 = 55
*11 x 11 = 121
*7 x 5 = 35/2 = 17.5 > then again we times it by 2 cuz we have 2 triangles. Which equals to 35.
Total surface area: 77 + 55 + 121 + 35 = 288 cm^2
-Volume:
*7 x 5 x 11 = 385 cm^3
Make sure to check the units!!!
Hope this helped :)
Step-by-step explanation:
Given that the graph shows the normal distribution of the length of similar components produced by a company with a mean of 5 centimeters and a standard deviation of 0.02 centimeters.
A component is chosen at random, the probability that the length of this component is between 4.98 centimeters and 5.02
=P(|z|<1) (since 1 std dev on either side of the mean)
=2(0.3418)
=0.6826
=68.26%
The probability that the length of this component is between 5.02 centimeters and 5.04 centimeters is
=P(1<z<2) (since between 1 and 2 std dev from the mean)
=0.475-0.3418
=0.3332
=33.32%
Subtract corresponding x and y components
- u - v = - <- 8, 4> - <2, 7> = <8, - 4> - <2, 7> = <8 - 2, - 4 - 7> = <6, - 11>
u - v = <- 8, 4> - <2, 7> = <- 8 - 2, 4 - 7> = <- 10, - 3>
v - u = <2, 7> - <- 8, 4> = <2 + 8, 7 - 4> = <10, 3>
