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liq [111]
2 years ago
6

Given a set of data sorted from smallest to largest, define the first, second, and third quartiles.

Mathematics
1 answer:
Nikolay [14]2 years ago
4 0

Answer:

Step-by-step explanation:

Given a set of data sorted from smallest to largest, i.e. arranged in ascending order we are to find out the median, I and III quartiles

We know that the median is the middle entry of data arranged in ascending order

Q1 is the entry below which 25% lie and Q3 is one above which 25% lie

Hence proper definition would be

d. The first quartile is the median of the lower half of the data below the overall median.

The second quartile is the overall median

The third quartile is the median of the upper half of the data above the overall median.

Option b is wrong becuase mean is not necessary here.  Option a is wrong because this has nothing to do with std deviation

Option c is wrong since minimum value cannot be q1

Option e is wrong because we have exactly 25% lie below Q1

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In the equation 16y=64-48. what is the next step in solving sequence?
vfiekz [6]

You substract 64 from 48 and then that would lead you to 16y=16. Divide 16 by 16 to get y=1


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2 years ago
A cyclist completes a journey of 500 meters in 22seconds part of the way at 10 meter per seconds and the remainder at 50 meter p
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Answer:

plz like and mark for me brainlist plz

Step-by-step explanation:

A cyclist completes a journey of 500m in 22 seconds, part of the of the way at 10m/s and the remainder at 50m/s. how far does she travel at each speed? ... Let x = distance traveled at 10m/s and y = distance traveled at 50m/s. ... x+y=500. 50x+10y=11000. 50x+50y=25000. 50x+10y=11000. 40y=14000.

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2 years ago
The amount of rhubarb in the original recipe is 3 1/2 cups. Using what you know of whole numbers and what you know of fractions,
Alexxx [7]
The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
7/2 · 3 = 21/2
now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2

You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
3/2 = 1 1/2
then add the numbers together
9 + 1 1/2 = 10 1/2
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8 0
2 years ago
The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 sq
lara [203]

Answer:

Part 1) The constant of variation is k=1/9

part 2) The equation is y=\frac{1}{9}x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Let

x -----> the number of square feet

y ----->  the number of square yards

Three square yards are equivalent to 27 square feet

so

we have the point (27,3)

Part 1) What is the constant of variation?

The constant of variation or proportionality is equal to

k=y/x

substitute the values

k=3/27

Simplify

k=1/9

Part 2) What is the equation representing the direct variation?

we know that

y=kx

substitute the value of k

y=\frac{1}{9}x

3 0
2 years ago
Read 2 more answers
Arc CD is One-fourth of the circumference of a circle. What is the radian measure of the central angle?
Alex

Answer:

\frac{\pi }{2}

Step-by-step explanation:

Since the arc is \frac{1}{4} of the circumference, then

central angle = \frac{1}{4} × 2π ← angle in whole circle

central angle = \frac{2\pi }{4} = \frac{\pi }{2}

8 0
2 years ago
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