Answer:
0.5613
Step-by-step explanation:
Here mean strain of bacteria x = sum of all numbers/ total numbers = 0.5514 %
Standard deviation s = 0.0040 %
Test statistic
G = (x_{max} -x)/s = (0.5613 - 0.5514)/ 0.0040 = 2.475
95% confidence value for outlier for n = 8 and alpha = 0.05
G_{critical} = 2.1266
so here we see that G > G_critical , so we reject that the there is no outlier . the value of 0.5613 is and outlier.
Answer:
x = -2 + 2 i or x = -2 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 4 x + 8 = 0
Subtract 8 from both sides:
x^2 + 4 x = -8
Add 4 to both sides:
x^2 + 4 x + 4 = -4
Write the left hand side as a square:
(x + 2)^2 = -4
Take the square root of both sides:
x + 2 = 2 i or x + 2 = -2 i
Subtract 2 from both sides:
x = -2 + 2 i or x + 2 = -2 i
Subtract 2 from both sides:
Answer: x = -2 + 2 i or x = -2 - 2 i
Answer:
6x +15
Step-by-step explanation:
Answer:
Car 1 : 40 miles per gallon
Car 2: 25 miles per gallon
Step-by-step explanation:
family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week
Given that :
Fuel efficiency , car 1 = x
Fuel efficiency , car 2 = y
x + y = 65 - - (1)
15x + 35y = 1475 - - - (2)
x = 65 - y
15(65-y) + 35y
975 - 15y + 35y = 1475
20y = 14875 - 975
20y = 500
y = 25
Put y = 25 in (1)
x + y = 65
x + 25 = 65
x = 65 - 25
x = 40
For every pair of slacks Arlo can choose 4 dresses so the number of ways is
6 * 4 = 24 answer
