Answer:
x = 3
y = 0
z = 8
Step-by-step explanation:
a) 3x + 3y - z = 1
b) z = 8
c) -x -3y + 2z = 13
a) 3x + 3y - 8 = 1 (substitution)
a) 3x + 3y = 9
c) - x - 3y + 2(8) = 13 (substitution)
c) -x - 3y + 16 = 13
c) -x - 3y = -3
(3x + 3y = 9) + (-x -3y = -3)
= 2x = 6
x = 3
a) 3(3) + 3y - 8 = 1
9 + 3y - 8 = 1
y = (1 -9 + 8)/3
y = 0
The probability is 1/462.
To find this, we will find the number of combinations of 5 country songs taken 5 at a time, 6 pop songs taken 0 at a time, and the total number of outcomes will be 11 songs taken 5 at a time:
Answer:
18/25
Step-by-step explanation:
Total number of students = 23+14+10+3 = 50.
14 out of 50 are playing sport and taking a foreign language.
So the answer is (50 - 14) / 50
= 36/50
= 18/25.
Answer:
Step-by-step explanation:
Given that an observation from a normally distributed population is considered "unusual" if it is more than 2 standard deviations away from the mean. There are several contaminants that can harm a city's water supply. Nitrate concentrations above 10 ppm (parts per million) are considered a health risk for infants less than six month of age.
We can say 1.59 and 2.52 if taken average would be the mean
Mean = 2.01
The deviations on either side = 2.52-2.01 = 0.41
This can be taken as 2 std dev
So std dev = 0.205
Hence we can take nitrate concentration is normal with mean = 2.01 and std deviation is 0.205
N(2.01, 0.205)
Replace the x values in the equation, then solve:
[(-2)^2+4]/[(-2)^2-2(-2)-48=
(4+4)/4+4-48=
8/8-48=
8/-40=
-1/5
