17. What are the minimum, first quartile, median, third quartile, and maximum of the data set? 40, 7, 2, 35, 12, 23, 18, 28

1 answer:

6 0

First step! Arrange the numerals {40, 7, 2, 35, 12, 23, 18, 28} in ascending order: {2, 7, 12, 18, 23, 28, 35, 40}

Count these numerals: there are 8 (an even number)

To find the median of this set of numerals, take the middle 2 values {18, 23} and average them: median = (18+23)/2 = 41/2

Now, on the left of 41/2, we have the subset {2, 7 , 12, 18}. The median of this subset is found in the same way as was 41/2 (above):
(7+12)/2 = 19/2 (First quartile)

The median of the right subset {23, 28, 35, 40} is (28+35)/2, or 63/2. This is the 3rd quartile.

The max. is 40 (this is the largest numeral given).

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Carl bought 19 apples of 2 different varieties to make a pie.The total cost of the apple was $5.10.Granny Smith apples cost $0.2

disa [49]

For this case we propose a system of equations:

x: Let the variable representing the quantity of Granny Smith apples

y: Let the variable representing the number of Gala apples

According to the statement we have:

$x + y = 19\\0.25x + 0.30y = 5.10$

From the first equation we have to:

$x = 19-y$

replacing in the second equation:

$0.25 (19-y) + 0.30y = 5.10\\4.75-0.25y + 0.30y = 5.10\\4.75 + 0.05y = 5.10\\0.05y = 5.10-4.75\\0.05y = 0.35\\y = \frac {0.35} {0.05}\\y = 7$

So, Carl bought 7 Gala apples

On the other hand:

$x = 19-7 = 12$

So, Carl bought 12 Granny Smith apples

Answer:

Carl bought 7 Gala apples and 12 Granny Smith apples

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svet-max [94.6K]

Answer:

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Step-by-step explanation:

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Find a and k so that the given points lie on the parabola (An algebraic solution is required)

Aleks [24]

For the given points to lie on the parabola,

a = -3 and k = 10.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).

According to the question,

Equation of parabola : y = a $(x-2)^{2}$ + k