It is a geometric sequence because it has a ratio 12/4=3, 36/12=3
Lamborghini=
fraction = 2/32
Decimal = 0.0625
Percentage= 6.25%
Corvette=
Fraction= 4/32
Decimal=0.125
Percentage=12.5%
Explanation:
Since the problem says “lamborghini OR corvette” you need to add the probability amount of both cars together. There are 2 lamborghinis and 4 corvettes, so 2+4=6. Now, put this number over the total amount of all cars. 6+2+4+8+12=32. So, the probability will be 6/32 which simplifies to 3/16. In decimal form this is .1875, and in percent form this is 18.75% (move the decimal 2 places to the right)
Answer:
The equation of the line is y -24 = -5(x + 6)
Step-by-step explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-31 - 24)/(5 - -6)
m = (-31 - 24)/(5 + 6)
m = -55/11
m = -5
Now that we have the slope, we can use it and either point in point-slope form.
y - y1 = m(x - x1)
y - 24 = -5(x - -6)
y - 24 = -5(x + 6)
Answer: 5.5 seconds
Since the penny is dropped and not thrown, the initial velocity is 0 and the initial height is given as 150m. Plugging these into the given equation result in
. To find how long it will take for the penny to hit the ground we set the equation equal to zero and solve for t. Since this doesn't factor, you'll need to use the quadratic formula:
. Since time cannot be negative, the answer will be the positive 5.5 seconds.