Answer:
x= -2/5 and x= 3
Step-by-step explanation:
Given equation is,
5x^2 - 13x - 6 = 0
Or, 5x^2 - 15x + 2x - 6 = 0 ( using middle term method)
Or, 5x( x- 3) + 2 (x-3) = 0
Or, (x-3) (5x+2) = 0
Now, x will have 2 answers because it's degree is 2. Total number of values depends on the power of variable.
So, x= 3 or, 5x = -2
Or, x= -2/5
So, the answer is x= -2/5 and x= 3.
Answer:
Step-by-step explanation:
Weekly wages at a certain factory are
normally distributed. The formula for normal distribution is expressed as
z= (x - u)/s
Where
u = mean
s = standard deviation
x = weekly wages
From the given information,
u = 400
s = 50
The probability that a worker
selected at random makes between
$350 and $400 is expressed as
P(350 lesser than or equal to x lesser than or equal to 400)
For x = 350
z = (350 - 400)/50 = -50/50 = -1
z = -1
From the normal distribution table, the corresponding z score is 0.1587
For x = 400
z = (400 - 400)/50 = 0/50 = 0
z = 0
From the normal distribution table, the corresponding z score is 0.5
P(350 lesser than or equal to x lesser than or equal to 400)
= 0.5 - 0.1587 = 0.3413
Answer: 10:14, 15:21, 20:28
Step-by-step explanation: These are all multiples of 5 and 7.
5: 10, 15, 20
7: 14, 21, 28
So it is C. 10:14, 15:21, 20:28
