Answer:
51,111%
Step-by-step explanation:
We know that 45% have a dog but no cat. While 23% have both a dog and a cat.
Then Pr(X has cat|X has dog) = Pr(X has dog and cat)/Pr(X has dog)
= Pr(X has dog and cat)/Pr(X has dog) = 0.23/0.45 = 0.51 ≈ 51,111%
The probability that a student’s family owns a cat if the family owns a dog is 51,111%
Answer:
(b) 
(a) 
Step-by-step explanation:
Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], whereas Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [SLOPES].
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Answer:
C on edge 2021
Step-by-step explanation:
Answer:
y = 50x+25
f(x) = 50x+25
Step-by-step explanation:
Using the slope intercept form of the equation, y = mx+b
where x is the amount per day and b is the flat fee
2 days
125 = 2x+b
5 days
275 = 5x+b
Subtract
275 = 4x+b
125 = 2x+b
---------------------
150 = 3x
Divide by 3
150/3 = 3x/3
50 =x
The cost per day is 50 dollars
y = 50x +b
Using the data for 2 days
125 = 50*2 +b
125 = 100 +b
125-100 = b
b = 25
The equation is y = 50x+25
f(x) = 50x+25
To graph, The x axis is number of days and the y axis is total cost
The number of days starts with 0, which is the y intercept
Let x = 0, y =25
Using the slope, we go 50 up and 1 to the right ( 50 dollars per day)
The next point plotted ins ( 1,50)
Draw a straight line
The area of the deck is :
A ( deck ) = 8 * 27.63 = 221.04 ft²
The area of the sheet of wood:
A ( sheet ) = 4 * 8 = 32 ft²
221.04 : 32 = 6.9 ≈ 7 ( we need a whole number )
Answer: He should buy 7 sheets of wood to cover the surface of the deck.