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2 years ago

What is the five-number summary for this data set?

Mathematics

1 answer:

Free_Kalibri [48]2 years ago

7 0

Answer:

Step-by-step explanation:

min and max are correctly the same for all 4 answers.

we have 10 data points, so, the median is the mean value between the 2 middle numbers, 19 and 22 : 20.5.

ah, it can be only C or D.

Q1 is the median of the lower half of data points (13 out of 11, 12, 13, 17, 19). and Q3 is the median of the upper half of data points (29 out of 22, 24, 29, 33, 38).

so, C is correct.

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George wants to triple the area of his backyard shed. If the original shed is 4 feet by 3 feet, which of the following dimension

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3 years ago

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3 years ago

Suppose you want to build a small walkway around your garden so that there is someplace to walk around and work on your vegetabl

wolverine [178]

Answer:

Approximately 3.5 feet - Option B

Step-by-step explanation:

Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.

( 30 + 2x ) $*$ ( 20 + 2x ) = 1000 - Expand "( 30 + 2x ) $*$ ( 20 + 2x )"

600 + 100x + 4 $x^2$ = 1000 - Subtract 1000 on either side, making on side = 0

4 $x^2$ + 100x - 400 = 0 - Take the "quadratic equation formula"

( Quadratic Equation is as follows ) - $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ,

$x=\frac{-100+\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad \frac{5\left(\sqrt{41}-5\right)}{2}$ ,

$x=\frac{-100-\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad -\frac{5\left(5+\sqrt{41}\right)}{2}$

There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) $\frac{5\left(\sqrt{41}-5\right)}{2}$ . The approximated value however is 3.5081...or approximately 3.5 feet.

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3 years ago