It should open up because the a which is 4 is positive
Answer:
C.
Step-by-step explanation:
The coefficients of the expansion of (a + b)^2 are 1 2 1, which is the third row of Pascal's triangle.
For (a + b)^3 they are 1 3 3 1 which is in the 4th row, and so on
So those for the (a + b)^n are in the (n + 1)th row.
Answer:
The number of movies purchased is 5
Step-by-step explanation:
40.00 + 3.50 = 43.50
43.50 + 3.50 = 47.00
47.00 + 3.50 = 50.50
50.50 + 3.50 = 54.00
54.00 + 3.50 = 57.50
so if you add 3.50 to 40, 5 times you'll get 57.50
Hope it helped
Answer:
95%
Step-by-step explanation:
The empirical rule states that if data follows normal distribution then the percentage of observations falls within one, two and three standard deviation around the mean are
i) 68% falls within one standard deviation
ii) 95% falls within two standard deviation
iii) 99.7% falls within three standard deviation.
Hence 95% of the observations will fall within two standard deviations around the mean if the data follows normal distribution.
So this is what's known as a combination. a combination is a group where the order does not matter. to solve a combination, you use this equation:
n! / (r! *(n-r)!)
n is the total number of objects being sorted (8)
r is the group you need to sort them into (4)
(i know it's 2 groups of 4 but if you solve this for 1 group, the other group is automatically made of the remaining kids)
definition of !:
a number with a ! means 1*2*3...*that number (so that number multiplied by every number smaller than it all the way to one)
so we put 8 and 4 in this equation:
8! / (4! *(8-4)!)
simplify:
8! / *(4! 4!)
multiply out:
(8*7*6*5*4*3*2*1) / (4*3*2*1 * 4*3*2*1)
and put that in your calculator
you will get 70
your answer is 70
