2. When x is -1.5 , what value of y makes the equation true
1 answer:
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Answer:
x =
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x =
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x =
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
| + 4 | = |
| =
right side = - 5 =
left side = right side , thus x = is a solution
check second solution
| + 4 | = |
| =
right side = - 5 = -
right side ≠ left sides, hence not a solution
For some value of z, the value of the cumulative standardized normal distribution is 0.8340. the value of z is
Answer: We are required to find the value of z corresponding to probability 0.8340.
i.e.,
We can find the value of z using the standard normal table.
Using the standard normal table, we have:
Therefore, for the value of z = 0.97, cumulative standardized normal distribution is 0.8340
Attached here standard normal table for your reference.
