Hi there!
The roots of a function are when f(x) = 0, so:
0 = x² + 9x - 36
Find two numbers that multiply to -36 and add up to 9.
We get the numbers 12 and -3, so:
0 = (x + 12)(x - 3)
Set each equal to 0 to find the x value:
0 = x + 12
x = -12
0 = x - 3
x = 3
Answer:
1200
Step-by-step explanation:
The number who drink coffee is 3/4 of 8000, so ...
... (3/4)×8000 = 6000.
Of those, 1/5 add cream, so the number of coffee drinkers who add cream to their coffee is ...
... (1/5)×6000 = 1200.
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<em>Alternate solutions</em>
We have computed ...
... (1/5)×((3/4)×8000) = 1200
Since multiplication is associative, you can multiply the fractions first, if you wish:
... ((1/5)×(3/4))×8000 = (3/20)×8000
... = 24000/20 = 1200
or
... = 3×(8000/20) = 3×400 = 1200
Answer:
The histogram of the sample incomes will follow the normal curve.
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
In this case the researches wants to determine the monthly gross incomes of drivers for a ride sharing company.
He selects a sample of <em>n</em> = 200 drivers and ask them their monthly salary.
As the sample selected is quite large, i.e. <em>n</em> = 200 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.
Thus, the histogram of the sample incomes will follow the normal curve.
Answer:
Step-by-step explanation:
The slope is
The y-intercept is 0
Answer:
6 , 1
5 , 2
4 , 3
Step-by-step explanation:
Just swap the numbers.
