The correct graph is graph 4.
You can find this by looking for recognizable points. This is the easiest way to find composite graphs. In the graph f(x) =|x − 5| + |x − 4| both 5 and 4 yield the answer of 1. You can see that in the examples below:
<span>f(x) =|x − 5| + |x − 4|
</span><span>f(5) =|5 − 5| + |5 − 4|
</span><span>f(5) =|0| + |1|
f(5) = 0 + 1
f(5) = 1
</span><span>f(x) =|x − 5| + |x − 4|
</span><span>f(4) =|4 − 5| + |4 − 4|
</span><span>f(4) =|-1| + |0|
f(4) = 1 + 0
f(4) = 1
Now we can look for graphs that have those two reference points. The 4th graph is the only one that has those. </span>
Answer:
Simplifying
4p + -40 = 7(2p + 2)
Reorder the terms:
-40 + 4p = 7(2p + 2)
Reorder the terms:
-40 + 4p = 7(2 + 2p)
-40 + 4p = (2 * 7 + 2p * 7)
-40 + 4p = (14 + 14p)
Solving
-40 + 4p = 14 + 14p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-14p' to each side of the equation.
-40 + 4p + -14p = 14 + 14p + -14p
Combine like terms: 4p + -14p = -10p
-40 + -10p = 14 + 14p + -14p
Combine like terms: 14p + -14p = 0
-40 + -10p = 14 + 0
-40 + -10p = 14
Add '40' to each side of the equation.
-40 + 40 + -10p = 14 + 40
Combine like terms: -40 + 40 = 0
0 + -10p = 14 + 40
-10p = 14 + 40
Combine like terms: 14 + 40 = 54
-10p = 54
Divide each side by '-10'.
p = -5.4
Simplifying
p = -5.4
Step-by-step explanation:
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Solution :




= 178 x 0.48
= 85.44
≈ 85

= 427 x 0.38
= 162.26
≈ 162
a). Yes, the sample sizes are large enough to use the large sample confidence interval so as to estimate the difference in the population proportions.
Let 
Where the
the age
group and the 2 - subscript indicates the age
group.
Since 

are all at least 10, the sample sizes are large enough to use the large sample confidence interval.


= 0.409421


= 1 - 0.4094
= 0.5906
b). 90% confidence interval is







c). Zero is not included in the confidence interval. Answer is no. The difference in the two population proportion are different from each other.
Answer:
30
Step-by-step explanation:
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Answer:
The constant of proportionality is 3.50.
Step-by-step explanation:
We know that when y directly varies with x, such that

The number 'k' is called the constant of proportionality.
Given the equation

as

so
∵ 
Here the value of k = 3.50, which is the constant of proportionality.
Therefore, the constant of proportionality is 3.50.