(-8 + 0 / 2) (7 + 1 / 2)
(-8/2) (8/2)
(-4) (4)
Midpoint = (-4,4) [Answer]
You know from the given information, there are 20 people in total.
When asked 14 people stated that they liked chocolate. This leaves a group of people out of 20 who do not like chocolate.
20-14=6
You know from this that 6 people do not like chocolate while 14 of them do
Hope I helped :)
I belive this is the answer
x³ = 27/125; and
x = 3/5.
explanation:
Reducing the voltage 3 times would result in multiplying the unknown voltage, x, by itself 3 times; this gives us
x³.
The current voltage is 27/125; this gives us the equation
x³ = 27/125.
To solve this, take the cubed root of both sides:
∛(x³) = ∛(27/125)
x = (∛27)/(∛125)
x = (∛(3*3*3))/(∛(5*5*5))
x = 3/5
Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that 
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.
0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:
So
A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Assume that the length of the rectangle is "l" and that the width is "w".
We are given that:
(1) The length is one more than twice the base. This means that:
l = 2w + 1 .......> equation I
(2) The perimeter is 92 cm. This means that:
92 = 2(l+w) ...........> equation II
Substitute with equation I in equation II to get the width as follows:
92 = 2(l+w)
92 = 2(2w+1+w)
92/2 = 3w + 1
46 = 3w + 1
3w = 46-1 = 45
w = 45/3
w = 15
Substitute with w in equation I to get the length as follows:
l = 2w + 1
l = 2(15) + 1
l = 30 + 1 = 31
Based on the above calculations:
length of base = 31 cm
width of base = 15 cm
