Answer: less than 25%
Step-by-step explanation:
The box plot can be read as follows:
The first black dot is the minimum value.
The first half of the rectangle is the lower quartile.
The line that separates the two rectangles is the median.
The second half of the rectangle is the upper quartile
The final point is the maximum.
Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.
Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.
And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.
So we can only conclude that more than the 75% of the collection costs more than $45.
Now we want to know the percentage of the baseball cards valued at less than $45.
So if more than 75% is valued at more than $45.
Then less than 25% is valued at less than $25.
Answer:
slope is 1/8
Step-by-step explanation:
you have to substitute the values of x and y into the equation below:
after simplifying your answer would be 1/8
Answer:
1. 
2. 
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
- f(x) = 0.05x
- g(x) = x - 3000


2. The composition of the function
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:

3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one:


1. Geometric Sequence
2. 
3. 
Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here

(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:

In case of given sequence,

So to find the 5th term

(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:

Putting the values of a_1 and r

Hence,
1. Geometric Sequence
2. 
3. 
Keywords: Geometric sequence, common ratio
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