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2 years ago

What is the first quartile of this data set?

Mathematics

2 answers:

ch4aika [34]2 years ago

8 0

Answer:

first quartile of this data set is 13

Step-by-step explanation:

11, 12, 13, 15, 17, 19, 22, 24, 29, 33, 38

First we find the median for the given set of numbers

Median is the middle number

11, 12, 13, 15, 17, 19, 22, 24, 29, 33, 38

19 is the median of the set of numbers

First quartile is the median of the set of numbers below 19

third quartile is the median of the set of number above 19

11, 12, 13, 15, 17

Median of 11, 12, 13, 15, 17 is 13

So first quartile of this data set is 13

Mamont248 [21]2 years ago

5 0

The median is 19 and the lower quartile is the middle number of the 5 numbers before 19
So its 13

B

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A parabola can be drawn given a focus of

Volgvan

Answer:

$y=-\frac{1}{4}(x-2)^{2}+9$

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at $(2,8)$ .

Directrix of the parabola is $y=10$ .

Let $(x,y)$ be any point on the parabola. Then, from the definition of a parabola,

Distance of $(x,y)$ from focus = Distance of $(x,y)$ from directrix.

Therefore,

$\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|$

Squaring both sides, we get

$(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9$

Hence, the equation of the parabola is $y=-\frac{1}{4}(x-2)^{2}+9$ .

4 0

3 years ago

The greatest common factor of 60w^5y^3 and 78wy^2 is

SIZIF [17.4K]

The answer would be 6w^5y^3

4 0

3 years ago

Technical improvement of a factory enabled it to produce 165 parts more in February than in January. In the two-month period, th

Romashka-Z-Leto [24]

X + x + 165 = 1315
2x + 165 = 1315
subtract 165 from both sides
2x = 1150
divide both sides by 2
x = 575
January 575
February 575 + 165 = 740

7 0

3 years ago

Explain how to solve an inequality by finding equivalent inequalities

Free_Kalibri [48]

Answer:

cheat off somebody who has the answer

Step-by-step explanation:

3 0

3 years ago

Solve the system of equations.

morpeh [17]

Answer:

y=3,x=1.3,z=6.2 :)

Step-by-step explanation:

y=3,x=1.3,z=6.2 :)

So, we have:

: x+y+z=10 [equation 1]

: 5x+3y=14 [equation 2]

: x−2y+z=2.5 [equation3]

(I'm going to assume that you know how to solve equations with 2 variables)

1. eliminate a variable to get 2 variables

Let's reverse equation 2:

-x+2y-z= -2.5

and take equation 1, to try to eliminate "z"

x+y+z=10

add up the 2 equations to get:

3y=7.5

and solve to get

y=2.5

2. substitute what we already solved into another equation

Luckily, equation 2 only has 2 variables, and one is y, so we can sub it in.

5x+3y=14 --> 3x+3(7.5)=14

solve to get

x=1.3

3. Substitute both of our variables in to get the final variable: z

Let's take the first equation.

x+y+z=10 --> 1.3+2.5+z=10

solve to get

z=6.2

I hope this helps you!

3 0

3 years ago