Answer:
robability formula is the ratio of number of favorable outcomes to the total number of possible outcomes. Measures the likelihood of an event in the following way: - If P(A) > P(B) then event A is more likely to occur than event B. - If P(A) = P(B) then events A and B are equally likely to occur.
Step-by-step explanation:
Answer:
On a coordinate plane, triangle A B C has points (4, 4), (7, 8), (10, 4). ... Hence, the scale factor is 2 and one-half( ).
Step-by-step explanation:
The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.
Answer: 18
Step-by-step explanation:
The least common denominator of 
and 
is going to be a multiple of 9 and 6. Let us list them out:
9: 9, <u>18</u>, 27, 36, 45, 54, 63, 72, 81, 90
6: 6, 12, <u>18</u>, 24, 30, 36, 42, 28, 54, 60
You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).
Answer:
2u + v - 4w = <40 , -4>
6u - 8v = <-78 , 58>
4v - 7w = <101 , -36>
11u + 3w = <-88 , 89>
Step-by-step explanation:
* Lets find the value of each operation to find its resultant vector
# 2u + v - 4w
∵ u = <-5 , 7>
∴ 2u = <-10 , 14>
∵ v = <6 , -2>
∵ w = <-11 , 4>
∴ 4w = <-44 , 16>
∴ 2u + v - 4w = <-10 + 6 - -44 , 14 + -2 - 16>
∴ 2u + v - 4w = <40 , -4>
# 6u - 8v
∵ u = <-5 , 7>
∴ 6u = <-30 , 42>
∵ v = <6 , -2>
∵8v = <48 , -16>
∴ 6u - 8v = <-30 - 48 , 42 - -16>
∴ 6u - 8v = <-78 , 58>
# 4v - 7w
∵ v = <6 , -2>
∴ 4v = <24 , -8>
∵ w = <-11 , 4>
∴ 7w = <-77 , 28>
∴ 4v - 7w = <24 - -77 , -8 - 28>
∴ 4v - 7w = <101 , -36>
# 11u + 3w
∵ u = <-5 , 7>
∴ 11u = <-55 , 77>
∵ w = <-11 , 4>
∴ 3w = <-33 , 12>
∴ 11u + 3w = <-55 + -33 , 77 + 12>
∴ 11u + 3w = <-88 , 89>
Answer:
B. y > 14
y which is students age is greater than 14
