<span>Probability of missing the first one is 0.3
Probability of missing the second is 0.1
Multiply the two probabilities to find your answer</span>
Answer:
Option 1
Step-by-step explanation:
Counter-intuitively, the correct answer is option 1. Option 2 is obviously a cross section, since it is the shape of the base of the triangle. Option 3 is also obviously a cross section, since the figure is a triangular prism. Option 4 is a cross section because, if you slice diagonally, you may create a cross section with a wider base on the bottom and larger on top. However, it is impossible to create a cross section of a rectangle from this square pyramid. Hope this helps!
After 3.2 or 3 hours and 12 minutes, the total cost of services is equal.
Explanation:
First, set up equations for total cost for both Happy Paws and Woof Watchers.
x= number of hours
y= total cost
Happy Paws
y= 1.5x + 19
Woof Watchers
y= 2.75x + 15
Because you have to find when the total cost is equal, then the y's of both equations are equal to each other. That means you can substitute the Woof Watchers' 2.75x + 15 into the y of Happy Paws.
2.75x + 15 = 1.5x + 19
Rearrange the equation so the variable, x, is on one side and the numbers on the other and solve.
1.25x = 4
x= 3.2
You can check the answer by plugging 3.2 into x in the two equations and see if they yield the same total cost.
Happy Paws: 1.5(3.2) + 19 = 23.8
Woof Watchers: 2.75(3.2) + 15 = 23.8
Answer:
Circumcenter = (4,0)
Circumcircle = √5
Step-by-step explanation:
The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. The vertices of the triangle are equidistant to the circumcentre.
Let us assume the coordinate of the circumcentre is at O(x, y). Therefore the distance between the cirmcumcenter and the vertices are:
AO = BO, therefore
√(x² + y²-4x-2y+5) = √(x² + y² - 10x - 4y + 29)
x² + y²-4x-2y+5 = x² + y² - 10x - 4y + 29
6x + 2y = 24 (1)
BO = CO
√(x² + y² - 10x - 4y + 29) = √(x² + y² - 9x - 8y + 25)
x² + y² - 10x - 4y + 29 = x² + y² - 9x - 8y + 25
-x + 4y = -4 (2)
Multiply equation 2 by 6 and add to equation 1:
26y = 0
y=0
Put y = 0 in -x + 4y = -4
-x + 4(0) = -4
x = 4
The cicumcenter is at (4, 0)
The radius of the circumcircle = AO = BO = CO. Therefore:
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Bag a:
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10 ounces = $1.10
1 ounce = $1.10 ÷ 10 = $0.11
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Bag b:
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12 ounces = $1.38
1 ounce = $1.38 ÷ 12 = $0.115
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Bag c:
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6 ounces = $0.84
1 ounce = $0.84 ÷ 6 = $0.14
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Answer: Bag A is the best buy.
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