The polygon with the shortest perimeter for a given area is a regular polygon. The regular 4-sided polygon is the square.
The side length of the square with an area of 100 ft² is √(100 ft²) = 10 ft.
The rectangle with the minimum perimeter for an area of 100 ft² is 10 ft by 10 ft.
Answer:
A) 99.7% of people have an IQ between 64 and 136.
B) 5% of people have an IQ score less than 76 or greater than 124.
C) 16% of people have an IQ score greater than 112.
Step-by-step explanation:
The Empirical Rule tells us that, in a normal or 'bell-shaped' distribution, 68% of the data is one standard deviation from the mean, 95% of the data is two standard deviations from the mean, and 99.7% of the data is three standard deviations from the mean.
A) 64 and 136 are 3 standard deviations away from the mean, so 99.7% of people have an IQ between 64 and 136.
B) 76 and 124 are 2 standard devations away from the mean, but the answer is asking what percentage is not between them. 100% - 95% gives us 5%.
C) 112 is one standard deviation away from the mean. If we want to find the percentage greater, then we can do 100% - 50% (as 112 is to the left of the mean), then we can take half of 68 to get 34%, and after subtracting 50% and 34% from the 100%, we get 16%.
Answer:
x=-8 and y=9
Step-by-step explanation:
rewrite the equations to x+2y=10,3x+4y=12
sub 2y from both sides x+2y-2y=10-2y
substitue x=10-2y in 3x +4y=12
3(-2y+10)+4y=12
distribute
add-30 to both sides
divide both sides by -2
y=9
sustitute 9 for y in -2y+10=x
x=-8
Answer:
73/5
Step-by-step explanation:
Answer:
1.00 and 1.73
Step-by-step explanation:
1) Calculating the 1st and the 2nd leg using trigonometric function sine:
Once one leg is found there is another way to find the other leg, using Pythagorean Theorem too.
Sides
a hypotenuse: 2.00
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b leg: 1.73
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c leg: 1.00
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