27 subtract 72 = 45 15 subtract 45 = 30
your answer would be 30
You ansewer will be x= -8
Answer:
in steps
Step-by-step explanation:
The question did not state if alpha>beta or alpha<beta, so the answer will have 2 answers for each questions
3x²-9x+2=0
x = (-(-9) ± √(-9)²-4*(3)*(2)) / (2*3)
x = (9 + √57) / 6 or x = (9 - √57) / 6 (alpha and beta) or (beta and alpha)
(I) alpha (a) ×beta (b) + alpha² × beta = ab (1+a)
= ((9 + √57) / 6) ((9 - √57) / 6) (1 + (9 ± √57))
= ((9² - (√57)²)/36) (10 ± √57)
= (24/36) (10 ± √57)
= 2/3 (10 ± √57) or (11.7 or 1.63)
(ii) alpha²-alpha×beta+beta² = a² -2ab + b² +ab = (a - b)² + ab
if a is alpha
= ((9 + √57) / 6) - ((9 - √57) / 6)) + ((9 + √57) / 6) ((9 - √57) / 6))
= √57/3 + 2/3
= (√57 + 2) / 3
if a is beta
((9 - √57) / 6) - ((9 + √57) / 6)) + ((9 - √57) / 6) ((9 + √57) / 6))
= - √57/3 + 2/3
= - (√57 + 2) / 3
Answer:
a. There is more variability in the prices of kid socks because they have a greater range.
Step-by-step explanation:
A measure of variability is a summary statistic that represents the amount of dispersion in a dataset. Common examples are range, interquartile range (IQR), variance, and standard deviation.
From the histogram
Highest Number of Packs of Adult Socks = 7
Lowest Number of Packs of Adult Socks = 5
Range = 7 - 5 =2
Highest Number of Packs of Kid Socks = 7
Lowest Number of Packs of Kid Socks = 4
Range = 7-4 = 3
We conclude that there is more variability in the prices of kid socks because they have a greater range.
The correct option is A.
Answer:
35
Step-by-step explanation:
A quadratic sequence is a form. of mathematical progression of numbers in which the subsequent differences between each consecutive term differ by the exact amount. This is known as the common second difference.
Hence in this case,
we have
S= 3+8+15+24+…..+Tn - 1.
S=. 3+8+15+……………..Tn-1 + Tn
Deducting 2nd series from the first
We have 0=3+5+7+…….Tn
Hence, we have Tn= n (n+2)
= 24 (9+2)
= 24 + 11
= 35
