The answer is the point that does not have y equal to 7.
Note: (x, y) = (7, -1)
The point (7, -1) shows an x-value of 7 and a y-value of -1.
Answer: (7, -1).
13 spades, 52 cards total
probability of drawing a single spade = 13/52 = 1/4
If we replace that card, then the probability of drawing of drawing a spade is still 1/4 as nothing has changed
Overall, the probability of getting two spades in a row is (1/4)*(1/4) = 1/16
note: the two events are independent because of the replacement happening
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The answer as a fraction is 1/16
As a decimal, that would be 0.0625 which converts to 6.25%
Answer:
Please explain your question better.
Step-by-step explanation:
60 - 720 = 660
660 divided by 12 = 55
In order to get the amount of water we would like to have in cubic feet, we must first subtract 0.25 ft (the distance from the top the waterline must be) from the height
1.5-0.25=1.25
Next we multiply the length, width, and new height in order to find the volume
2*1*1.25=2.5ft^3
We divide this by the volume of water the bucket can hold
2.5/1.25=2
Thus, we need 2 buckets of water in order to fill the tank
Answer:
x = -5/2 x=1 x = -1
Step-by-step explanation:
p(x) = 2x^3 + 5x^2 – 2x – 5
Use factor by grouping
p(x) = 2x^3 + 5x^2 – 2x – 5
Factor x^2 from the first group and -1 from the second group
x^2(2x +5) -1( 2x+5)
Then factor out 2x+5
p(x) = (2x+5) (x^2-1)
Factor x^2 -1 as the difference of squares
p(x) = (2x+5)(x-1)(x+1)
Set to zero to find the x intercepts
0 = (2x+5)(x-1)(x+1)
Using the zero product property
2x+5 =0 x-1 =0 x+1 =0
2x = -5 x=1 x=-1
x = -5/2 x=1 x = -1