Answer:
Step-by-step explanation:
The probability that you make one shot is 70%, or 0.7.
The probability that you make 10 shots is the probability that you make 10 shots in a row. This means that you have to make the first shot AND the second shot AND the third shot and so on. The probability of two independent events both happening is P(A) * P(B), and we can apply that here. Each shot has a 0.7 chance of success, so we multiply that 10 times to get (0.7)¹⁰=0.0282475249
The probability that you make 9 shots can be represented by the following combinations, with M representing a miss and S representing a make.
MSSSSSSSSS
SMSSSSSSSS
SSMSSSSSSS
and so on. There are 10 possible combinations as there are 10 possible places where you can miss but still make 9. The probability of one of these combinations happening is
(0.3) for the miss multiplied by the probability of all the rest making it, or (0.7)⁹ = 0.3 * 0.7⁹ = 0.0121060821
Then, we multiply by 10 because there are 10 possible combinations, resulting in 0.121060821. Add this to the probability of making all 10 to get
0.0282475249 + 0.121060821 = 0.1493083459
Answer:
3/2
Step-by-step explanation:
The composition of transformations has you dilate the line by a factor of 1/2, then by a factor of 3. Then the line is rotated about the origin.
The scale factor of the result will be the product of the dilation factors:
(3)(1/2) = 3/2
The scale factor of the transformation is 3/2.
The formula is
I=prt
I interest earned?
P principle 70
R interest rate 0.3
T time 2.5 years
I=70×0.3×2.5
I=52.5
