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Harrizon [31]
3 years ago
9

Help completing the square please?

Mathematics
2 answers:
Mandarinka [93]3 years ago
8 0
X^2 - 20x = 10
x^2 - 20x + 100 = 10 + 100
(x - 10)^2 = 110

Answer:
First box : 100
Second box: 110

Hope it helps
igomit [66]3 years ago
4 0
X^2 - 20x + 100 = 110
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The percentage of cotton in material used to manufacture men's shirts follows.
velikii [3]

Answer:

Median = 34.55

Quartiles:

Q1 = 33.1

Q2 = 34.55

Q3 = 35.6

Inter Quartile range = 2.5

Step-by-step explanation:

Step 1

We arrange the given the following data from lowest to the highest

32.0, 32.1, 32.1, 32.2, 32.4, 32.5, 32.5, 32.5, 32.8, 32.8, 32.8, 32.8, 32.9, 32.9, 33.0, 33.0, 33.2, 33.2, 33.2, 33.2, 33.5, 33.6, 33.8, 33.8, 33.9, 34.0, 34.0, 34.1, 34.1, 34.3, 34.4, 34.5, 34.6, 34.6, 34.6, 34.7, 34.7, 35.0, 35.0, 35.1, 35.1, 35.2, 35.4, 35.5, 35.5, 35.5, 35.5, 35.6, 35.6, 36.1, 36.3, 36.4, 36.4, 36.4, 36.5, 36.6, 36.7, 36.7, 37.0, 37.1, 37.4, 37.4, 37.6, 37.8

a. Construct a stem-and-leaf display for the data.

Stem and leaf Display

Stem | Leaf

32 | 0,1,1,2,4,5,5,5,8,8,8,8,9,9

33 | 0,0,2,2,2,2,5,6,8,8,9

34 | 0,0,1,1,3,4,5,6,6,6,7,7

35 | 0,0,1,1,2,4,5,5,5,5,6,6,

36 | 1,3,4,4,4,5,6,7,7,

37 | 0,1,4,4,6,8

b. Calculate the median and quartiles of these data.

Number of terms = 64

1) Median = 1/2(n + 1)th value

n = 64

= 1/2(64 + 1)th

= 1/2(65)th

= 32.5 th value

This means it is between the 32nd and 33rd value

32nd = 34.5

33rd = 34.6

= 34.5 + 34.6/2

= 69.1/2

= 34.55

2) First Quartile

1/4(n + 1)th value

n = 64

= 1/4(64 + 1)th

= 1/4(65)th

= 16.5th value

This means it is between the 16th and 17th value

16th value = 33.0

17tj value = 33.2

= 33.0 + 33.2/2

= 66.2/2

= 34.55

Q1 --> 33.1

3)Second Quartile = Median

1/2(n + 1)th value

n = 64

= 1/2(64 + 1)th

= 1/2(65)th

= 32.5 th value

This means it is between the 32nd and 33rd value

32nd = 34.5

33rd = 34.6

= 34.5 + 34.6/2

= 69.1/2

= 34.55

Q2 --> 34.55

Third Quartile

3/4(n + 1)th value

n = 64

= 3/4(64 + 1)th

= 3/4(65)th

= 48.75 th value

This means it is towards the 49th value

32nd = 34.5

Hence,

Q3 --> 35.6

Inter Quartile range

Q3 - Q1

= 35.6 - 33.1

= 2.5

8 0
3 years ago
List a time when it might be useful to know the unit rate.
Andrej [43]

Answer:

a good time is when u are in math class and a teacher assigns u a homework of unit rate.

Step-by-step explanation:

3 0
3 years ago
What is the multiplicative inverse of 2 1/2?<br><br> A) 2/3<br> B) 2/5<br> C)2
zheka24 [161]
If you get rid of the whole number in that fraction, you will have 3/2.
So the opposite of that would be 2/3.
I believe the answer is 2/3.
5 0
3 years ago
Read 2 more answers
given f(x)=4x-1, find the domain value if the range value is -5 given f(x)=4x-1, find the domain value if the range value is -5
olga55 [171]

the domain is -1. Let 4x-1=-5 then solve

6 0
3 years ago
Karrine hit 4 more home runs than half the number of home runs Lu hit. Together they hit 10 home runs. Let x represent the numbe
Andreas93 [3]

Answer:

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

Step-by-step explanation:

Let

x ----> represent the number of home runs Lu hit

y ---> represent the number of home runs Karrine hit

we know that

Together they hit 10 home runs

so

x+y=10 ----> equation A

Karrine hit 4 more home runs than half the number of home runs Lu hit

so

y=\frac{1}{2}x+4 ---> equation B

substitute equation B in equation A

x+\frac{1}{2}x+4=10

solve for x

\frac{3}{2}x=10-4

\frac{3}{2}x=6\\x=4

Find the value of y

y=\frac{1}{2}(4)+4=6

therefore

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

5 0
2 years ago
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