Complete the square to determine the maximum or minimum value of the function defined by the expression. x2 + 12x + 42
2 answers:
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Answer:
C. Probability is 0.90, which is inconsistent with the Empirical Rule.
Step-by-step explanation:
We have been given that on average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches.
First of all, we will find z-score corresponding to 87.5 and 107.5 respectively as:
Now, we need to find the probability .
Using property , we will get:
From normal distribution table, we will get:
Since the probability is 0.90, which is inconsistent with the Empirical Rule, therefore, option C is the correct choice.
Answer:
factorize form of the equation is , where
Step-by-step explanation:
Given Equation:
Adding the terms of 'x' and taking constants on the other side.
The sign of the constant will change on changing the side of it.
So, the value of 'x' is 1
The factorized form of the equation can be made by taking the common value from the equation i.e
Answer:
Step-by-step explanation:
Notice that angles <1 and <3 are opposed by the vertex, which makes them of equal measure, therefore, <1 = 47 degrees.
Notice as well that angles <1 and <2 combine into a straight line, therefore, they are supplementary angles whose addition gives 180 degrees then we can find the value of angle <2 via:
And finally, angle <4 is opposite through the vertex to angle <2, and therefore they must have the same measure. So, <4 = 133 degrees.