Answer:
No table given, see below
Step-by-step explanation:
I don't see a table, but the first 5 terms are 11, 8, 5, 2, and -1
Answer:
x=1/3
Step-by-step explanation:
Answer:
y=a|x-h|+k (absolute value function)
a= 3/5 (a easier way to know is it is somehow basically the slope of the line but it must be positive.)
h= -3 (you are correct)
k= -1 (you are correct)
ANSWER
EXPLANATION
The quadratic equation is:
Group variable terms:
Add the square of half, the coefficient of y to both sides.
The LHS us now a perfect square trinomial:
Take square root:
The first choice is correct.
Answer:
12.3
Step-by-step explanation:
Step 1
We find the mean
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100
Mean = Sum of terms/Number of terms
Number of terms = 10
Mean = 61 + 67 + 81 + 83 + 87 + 88 + 89 + 90 + 98 + 100/10
Mean = 844/10
Mean = 84.4
Step 2
Standard deviation
The formula for sample standard deviation =
√(x - Mean)²/n - 1
= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1
=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1
= √1364.4/9
= √151.6
= 12.31259518
Approximately to the nearest tenth = 12.3
The standard deviation = 12.3
