Answer:
The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.
Step-by-step explanation:
Normal variables
Normal variables have mean 
and standard deviation 
When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.
In this question:
Verbal: 
.
Math: 
Combined:
The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
Answer:
it is B i took the quiz
Step-by-step explanation:
hope it helps
Answer:18(3)
Step-by-step explanation:
Answer:
The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.
The graph of g is a <u>vertical</u><em> </em>translation of the graph of f <u>12</u> units <u>downward</u>.
Step-by-step explanation:
The equation y=f(x)+k represents that when k is negative, the graph moves downward.
