C) r^2 + 1 because any number squared (positive or negative) will be positive
3x = 9y
9y = 3x
y = 3x/9
y = 1/3x
<span>The slope is 1/3</span>
The equation of the function g(x) will be g(x) = - ln (x + 2).
<h3>What is a logarithm?</h3>
Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
Let the equation of the function f will be
f(x) = ln x
If the function is multiplied with negative sign, then the function gets flipped about the x-axis.
And if we add 2 in the variable of the function, then the function gets shifted towards left.
Then the equation of the function g(x) will be
g(x) = - ln (x + 2)
More about the logarithm link is given below.
brainly.com/question/7302008
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Answer: C. 31
Explanation:
Set A contains [50, 51, 52, … , 99, 100]. Set B contains [70, 71, 72, … , 136, 137]
Notice that Set B and Set A have an overlap from 70 to 100. So that is 31 elements in total. Hence the set A intersect B is [70, 71, 72, … , 99, 100] which is 31 elements.
Cheers.
Answer:
There is no enough evidence to reject the claim using a level of significance of 5%
Step-by-step explanation:
Let p be the true proportion of homeowners in Omaha who own a lawnmower. We want to test
vs 
(two-tailed alternative).
We have a large sample of size n = 500 and a point estimate for p is 
. The test statistic is given by
where 
is the standard error of 
when 
is true. The observed value is 
= 1.4064 which comes from a standard normal distribution. Because we want to use a level of significance of 5%, our rejection region is RR={z | z < -1.96 or z > 1.96} where -1.96 and 1.96 are the 2.5th and 97.5th quantiles respectively. Because 1.4064 does not belong to RR, we fail to reject the null hypothesis.
