Answer:
25%
Step-by-step explanation:
The 5 values of the given box plot are;
The minimum value = 20
The first quartile, the 25th percentile point, Q₁ = 25
The median or second quartile, the 50th percentile point, Q₂ = 30
The third quartile, the 75th percentile point, Q₃ = 40
The maximum value = 55
The range = The maximum value - The minimum value
∴ The range = 55 - 20 = 35
We note that Nicholas earned $25 or less from the minimum value up to first quartile, Q₁, which is the 25th percentile point, where we have 25 percent of the data points
Therefore, the percent of the time Nicholas earned $25 or less is 25 percent of the time.
Answer:
64
Step-by-step explanation:
24 times 2 is 48 then add 16 it is 64
Answer:
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Step-by-step explanation:
Example: If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Note: the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.
180 degrees is the correct answer.
All exercises involve the same concept, so I'll show you how to do the first, then you can apply the exact same logic to all the others.
The first thing you need to know is that, when a certain quantity multiplies a parenthesis, you can distribute that number to every element in the parenthesis. This means that
So, 
is multiplying the parenthesis involving 
and 
, and we distributed it: multiplies both and in the final result.
Secondly, you have to know how to recognize like terms, because they are the only terms you can sum. Two terms can be summed if they have the same literal expression. So, for example, you cannot sum 
, and neither 
exponents count.
But you can su, for example,
or
So, take for example exercise 9:
We distribute the 1.2 through the first parenthesis:
And you can distribute the negative sign through the second parenthesis (it counts as a -1 to distribute):
So, the expression becomes
Now sum like terms:
