Answer:
The probability hat the North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ is P=0.65.
Step-by-step explanation:
To solve this problem we define a new variable X which is equal to the difference between the North Catalina State University students IQ random variable and the Chapel Mountain University students IQ random variable.
X will be a random variable too, approximated by a normal distribution with these parameters:
The probability hat the North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ is equivalent to the <em>probability that X>5</em>.
Both the side are 21 units.
⇒ It is an isosceles triangle.
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Property of the angles in a triangle:
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Sum of all angles in a triangle = 180°
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Find x:
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x + x + 38 = 180
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Combine like terms:
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2x + 38 = 180
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Take away 38 from both sides:
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2x = 142
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Divide by 2 on both sides:
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x = 71
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Answer: x = 71°
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Answer:
The answer is 10%
Step-by-step explanation:
Let the length of the rectangle is x
Let the width of the rectangle is y
∵ They will increase by 10% each
∴ The new length = x × 110/100 = 1.1x
∴ The new width = y × 110/100 = 1.1y
∵ The old perimeter = 2(x + y) = (2x + 2y)
∴ The new perimeter = 2(1.1x + 1.1y) = 1.1(2x +2y)
∴ The new perimeter is greater than the old perimeter by 1.1 - 1 = 0.1
∴ The percentage of increasing in the perimeter = 0.1 × 100 = 10%
Step-by-step explanation:
are u sure there is no more context
Answer:
Step-by-step explanation:
There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)
When choosing a dog from random, you can either choose:
Brown/M
Brown/F
Black/M
Black/F
Yellow/M
Yellow/F
(This list is called the Sample Space, a list of all possible outcomes)
Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.
When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.
