Phil has 18 shirts, 24 pairs, of pants, and 16 pairs of shoes in his closet, but one of the shirts is his favoritw. How many com
2 answers:
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Answer:
4.
Step-by-step explanation:
Step 1: <u>Formula.</u>
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Step 2: <u>Explain/define.</u>
- The interquartile range is the difference between quartile 3 and quartile 1.
- Quartile 1 is the median of the upper half of a data set.
- Quartile 3 is the median of the lower half of a data set.
- The median is the 'middle value.'
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Step 3: <u>Order/arrange.</u>
In order to find the median, you must first put the numbers in numerical order.
19, 21, 18, 17, 18, 22, 46
↓
17, 18, 18, 19, 21, 22, 46
The lower half of the data set, not including the median of the whole data set, is 17, 18, and 18.
The upper half of the data set is 21, 22, and 46.
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Step 4: <u>Solve.</u>
- 17, 18, 18
- 21, 22, 36
Next, we find the medians of both sets.
The median of the lower half is 18 (Q1).
The median of the upper half is 22 (Q3).
Lastly, we subtract Q3 from Q1.
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Step 5: <u>Conclude.</u>
I, therefore, believe the interquartile range of this data set is 4.
Answer:
1) (2x - 3)(x + 5)
2) 1.5, -5
3) Open upwards from both ends
4) Minimum
Step-by-step explanation:
Step 1:
The given polynomial is:
Taking out commons, we get:
This is the factorized form of the polynomial.
Step 2:
The zeros of the functions occur when the function is equal to zero.
i.e.
This means, the zeros of the polynomial are 1.5 and -5
Step 3:
The end behavior of a graph depends on its degree and the sign of leading coefficient. Since the degree is even and the coefficient is positive the graph of the polynomial will opens upwards from left and right side.
Step 4:
The given polynomial is a quadratic function with positive leading coefficient. Since it open vertically upwards, its vertex will be the lowest most point. So, the vertex will be the minimum of the function.