Answer:
21x − 24
Step-by-step explanation:
Multiply using the distributive property.
Answer:
0.003
Step-by-step explanation:
By formula we know that:
z (x) = (x - m) / [sd / sqrt (n)]
where x is the value we want to know (60,000), m is the mean (63500), sd is the standard deviation (6100) and n is the sample size (35).
Replacing we have:
z (60000) = (60000 - 63500) / [6100 / sqrt (35)]
z = -3.39
If we look in the normal distribution table (attached), we have that the probability is 0.0003.
X^2 = 9x + 6
x^2 - 9x - 6 = 0
use quadratic formula : (-b (+-) sqrt b^2 - 4ac) / (2a)
a = 1, b = -9, c = -6
now we sub
x = (-(-9) (+-) sqrt -9^2 - 4(1)(-6)) / 2(1)
x = 9 (+-) sqrt 81 + 24)/2
x = 9 (+-) sqrt 105) / 2
x = 9/2 + 1/2 sqrt 105 or x = 9/2 - 1/2 sqrt 105
Answer:
(5,7)
Step-by-step explanation:
The given system of equations are :
6x-2y = 16
or
3x-y = 8 ....(1)
3x = 15
or
x = 5 ...(2)
Put the value of x in equation (1).
3(5)-y = 8
15-y=8
15-8 = y
y = 7
Put the value of y in equation (1).
3x-7 = 8
3x = 15
x = 5
So, the solution of the given system of equations are x = 5 and y = 7. i.e. (5,7).
