ANSWER
m < -2
EXPLANATION
We want to find the solution set for m in:

First, collect like terms:

Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:

This means that all values of m must be less than -2.
<em>None of the options contains the correct solution set.</em>
Answer:
The answer to your question is below
Step-by-step explanation:
1) The triangles are similar by the AA postulate so use proportions to find x.
x/207 = 170/90
solve for x
x = 207(170/90)
x = 207(1.89)
x = 391 ft
2) These triangles are similar so use proportions to solve it
x/138 = (x + 60)/207
207x = 138(x + 60)
207x = 138x + 8280
207x - 138x = 8280
69x = 8280
x = 8280/69
x = 120
Answer:
144
Step-by-step explanation:
The confidence interval for the mean usage of water is (18.7,20.5).
Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.
We have to find the confidence interval for the mean usage of water.
To find out the confidence interval we have to first find margin of error.
μ=19.5
σ=2.4
α=0.98
α/2=0.49
We have to find the z value for the p value 0.49 which is z=2.33
Margin of error=z*μ/
=2.33*19.5/
=0.82
lower level=mean -m
=19.5-0.82
=18.68
after rounding upto 1 decimal
=18.7
upper mean = mean+m
=19.5+0.82
=20.52
Hence the confidence interval for the usage of water is (18.7,20.52).
Learn more about margin of error at brainly.com/question/10218601
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The domain and range of the new function compare to the domain and range of the original function is domain and range of the function will be same after the modification.
<h3>What is domain and range of the function?</h3>
The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
Given function:
f(x)= a
As, the value increased by 2.
Now, the value of the given function f(x) is modified such that the value of b remains same but the value of a is increased by 2.
Here, The domain and range of the function will be same after the modification.
Learn more about this concept here:
brainly.com/question/12278642
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