By what percent will a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%?
1 answer:
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One such polynomial might be
Another with the same roots would be
Another with the same roots would be
Answer:
We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 60
Sample mean, = 19.5
Sample size, n = 60
Alpha, α = 0.05
Population standard deviation, σ = 1.8
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.
the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.
<h3>What is the linear system?</h3>It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Condition for the parallel lines.
L1, ax + bx + c = 0
L2, dx + ey + f = 0
If then lines have infinitely many solutions.
y = –3x + 4 and 3y = –9x + 12
On comparing we have
a = -3 , b = 1, and c = 4
d = -9 , e = 3, and f = 12
Then their ratio will be
Hence y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.
Thus the option B is correct.
More about the linear system link is given below.