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Vitek1552 [10]
2 years ago
14

Here is the histogram of a data distribution. All class widths are 1.

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
6 0
It’s C. Since that’s the middle based on the diagram
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Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
In the diagram, lines and intersect at E. If m∠AED = 3x + 11 and m∠CEB = 125, find x. A. 19 B. 38 C. 42 D. 55
Lady_Fox [76]

3X+11=125

3X=125-11

3X=114

X=114/3

X=38

So the answeris B 38

7 0
3 years ago
Hi please help I’m rlly behind in school!!!
Butoxors [25]

Answer:

17 pounds

Step-by-step explanation:

Median:

Weights of the dogs are:

3 , 8 , 10 , 11 , 14 , 17 , 22 , 24, 25 , 35 , 40

Number of data = 11

So, median will the middle term which is the 6the term.

Median = 17

4 0
2 years ago
Hey guys help my please !!Q 4,6,7
padilas [110]
Q4, 4y²=60
y=√15 ( i am not sure)
q6, (5+y) ²=81
5+y=9
y=4
q7 (x+4) (x) =77
x²+4x-77=0
(x+11) (x-7) =0
x=-11(rej) or x=7
therefore ,length= 7+4=11cm
breadth=7cm
6 0
3 years ago
Find x and y, given that line WS and line VT are parallel. Show all work!
bulgar [2K]

In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.

\frac{VT}{WS} =\frac{VU}{WU}=\frac{TU}{SU}..........(Equation 1)

Checking the diagram given, we see that:

VT=y, WS=22, VU=8, ST=x-2

WU=WV+VU=12+8=20

TU=5

SU=ST+TU=(x-2)+5=x+3

Thus, substituting the required values in (Equation 1) we get:

\frac{y}{22}=\frac{8}{20}=\frac{5}{x+3}

Now, as can be clearly seen, to find y we will use the first two ratios as:

\frac{y}{22}=\frac{8}{20}

y=\frac{8\times 22}{20}=8.8

In a similar manner, to find the value of x we can use the last two ratios:

\frac{8}{20}=\frac{5}{x+3}

After cross multiplication we get:

5\times 20=8(x+3)

Which can be simplified as:

x+3=\frac{100}{8} =12.5

Thus, x=12.5-3=9.5

Therefore, the required answer is:

x=9.5 and y=8.8



7 0
3 years ago
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