X² - 8x = -10
to have a complete square, we must have this format:
a² + 2ab + b²
a² = x²
2ab = -8x ⇒ 2(x)(-4)
b² = -4² = 16
x² - 8x + 16 = -10 + 16
x² - 8x + 16 = +6
(x-4)² - 6 = 0
Both sides must have an additional value of 16.
The answer to these two problems are below
19) 9
21) 107
7.5 %
Step-by-step explanation:
We by finding how far from the mean the 999 volume caps are, using z score;
Z = (x – μ) / σ
Z = (999 – 998) / 7
Z = 0.143
We use the z-table to find the confidence levels;
= 85%
= 0.85
Since we are finding proportion of bottles have volumes greater than 999
mL;
1 – .85 = .15
0.15/2 = 0.075
= 7.5%
Answer:
0.69 miles per hour
Step-by-step explanation:
speed =distance/time
speed= 506/723
506/723=0.69
Answer:
The answer is 7 1/2 or 15/2 or 7.5 (all the same just in mixed fraction and decimal form)
Step-by-step explanation: