Answer:
a. z-score for the number of sags for this transformer is ≈ 1.57 . The number of sags found in this transformer is within the highest 6% of the number of sags found in the transformers.
b. z-score for the number of swells for this transformer is ≈ -3.36. The number of swells found in the transformer is extremely low and within the lowest 1%
Step-by-step explanation:
z score of sags and swells of a randomly selected transformer can be calculated using the equation
z= where
- X is the number of sags/swells found
- M is the mean number of sags/swells
- s is the standard deviation
z-score for the number of sags for this transformer is:
z= ≈ 1.57
the number of sags found in the transformer is within the highest 6% of the number of sags found in the transformers.
z-score for the number of swells for this transformer is:
z= ≈ -3.36
the number of swells found in the transformer is extremely low and within the lowest 1%
The answer is <span>B.The statement is true, but the inverse is false.
An acute angle is less than 90 degrees when talking about the terminal side. It inverse would be 360 - 43 = 317 degrees </span>
First, you would determine how much more this new weekly payment is. As we are getting a raise of .06 times our old payment, our new payment will be (old payment)+(.06*(old payment)), or more simply, 1.06 times the old payment. Multiplying this out gives us 1.06*250, or 265
Another way to do this, which is also two steps, is to multiply the old payment by .06 then add that to our old payment.
.06*250 = 15
250+15 = 265
I hope this helps!
The answer is B and that’s really all
To find how many times the quadratic function intersects the x-axis, set y = 0
y = x^2+10x+25
0 = x^2+10x+25
Factor the right hand side
0 = (x+5)(x+5)
x + 5 = 0
x = - 5
Therefore, the quadratic equation intersects the x-axis at one point (x = -5)