Answer:
0
Step-by-step explanation:
Simplifying
x2 + -4x + -12 = 0
Reorder the terms:
-12 + -4x + x2 = 0
Solving
-12 + -4x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-2 + -1x)(6 + -1x) = 0
Answer:
Variance = 1,227.27
Standard deviation = 35.03
Step-by-step explanation:
To calculate these, we use the following formulas:
Mean = (sum of the values) / n
Variance = ((Σ(x - mean)^2) / (n - 1)
Standard deviation = Variance^0.5
Where;
n = number of values = 20
x = each value
Therefore, we have:
Sum of the values = 29 + 32 + 36 + 40 + 58 + 67 + 68 + 69 + 76 + 86 + 87 + 95 + 96 + 96 + 99 + 106 + 112 + 127 + 145 + 150 = 1,674
Mean = 1,674 / 20 = 83.70
Variance = ((29-83.70)^2 + (32-83.70)^2 + (36-83.70)^2 + (40-83.70)^2 + (58-83.70)^2 + (67-83.70)^2 + (68-83.70)^2 + (69-83.70)^2 + (76-83.70)^2 + (86-83.70)^2 + (87-83.70)^2 + (95-83.70)^2 + (96-83.70)^2 + (96-83.70)^2 + (99-83.70)^2 + (106-83.70)^2 + (112-83.70)^2 + (127-83.70)^2 + (145-83.70)^2 + (150-83.70)^2) / (20 - 1) = 23,318.20 / 19 = 1,227.27
Standard deviation = 1,227.27^0.5 = 35.03
Answer:
JRQ = 56
Step-by-step explanation:
SRQ - SRJ = JRQ
166 - 110 = 56
Answer:
4
Step-by-step explanation:
center | (5, -3)
radius | 4
diameter | 8
area enclosed | 16 π≈50.2655
circumference | 8 π≈25.1327
40% off means you are paying 60% of the original price ( 100% - 40% = 60%
Multiply the price of the coat by 60%:
65.00 x 0.60 = 39.00 ( sale price)
Now multiply the sale price by 1.05 ( price of coat plus tax rate) to get the final cost:
39.00 x 1.05 = 40.95
The final price is $40.95
