If I were solving this equation, I would put x^2-20x+(100)=(10). Since this is in standard form, you could change this into vertex form by making the equation y=(x-10)^2 -10.
The axis of symmety is the x value of the vertex
to find the x value of the vertex of ax^2+bx+c=0
x value=-b/2a
3x^2+bx+4=0
3/2=vertex
-b/2(3)=3/2
-b/6=3/2
times 6
-b=18/2
-b=9
times -1
b=-9
Answer: They would make 50 million dollars.
Step-by-step explanation: 10,000,000 x 5,000,000 = 50,000,000
Hope this helps! :)
Answer:
a) The Sample Standard deviation "measures the spread of a data distribution. It measures the typical distance between each data point and the mean"
b) 
Step-by-step explanation:
Previous concepts
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Let X the random variable who represents the scores. We know from the problem that the distribution for the random variable X is given by:

We take a sample of n=25 nails.
From the central limit theorem we know that the distribution for the sample mean
is given by:

Part a
The Sample Standard deviation "measures the spread of a data distribution. It measures the typical distance between each data point and the mean"
Part b
The standard error is given by:

And replacing we got:

Answers:
- x = 4
- angle CAB = 26 degrees
- angle ABC = 24 degrees
Depending on your teacher, you may or may not have to input the word "degrees" or the degree symbol.
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Explanation:
We use the remote interior angle theorem.
This says to add two interior angles, and the sum is equal to the exterior angle that is not adjacent to any of the interior ones. Hence the "remote".
(angle CAB) + (angle ABC) = exterior angle
(6x+2) + (9x-12) = 50
15x-10 = 50
15x = 50+10
15x = 60
x = 60/15
x = 4 is the first answer
We can then find the interior angles
angle CAB = 6x+2 = 6(4)+2 = 24+2 = 26 degrees is the second answer
angle ABC = 9x-12 = 9(4)-12 = 36-12 = 24 degrees is the third answer
Then notice how 26+24 = 50 to help confirm the answers.