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faust18 [17]
3 years ago
10

What is the sample mean of the data set? Round to the

Mathematics
1 answer:
frez [133]3 years ago
6 0

Answer:

38.11 and 3.66

Step-by-step explanation:

You might be interested in
The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions
mr_godi [17]

Answer:

Width = 2

Length = 5

Step-by-step explanation:

let A be the area of the rectangle

   L be the length of the rectangle

   w be the width of the rectangle

<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0  

<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 =  0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

then √Δ = 7

\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2

  or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5

-5 is not valid ,because w represents the width

which must be a positive number

Then  w = 2

<u><em>Conclusion</em></u>:

Width = 2

Length = 2 + 3 = 5

6 0
2 years ago
If the function f(x) = (2x - 3)2 is transformed to g(x) = (-2x - 3), which type of transformation occurred?
san4es73 [151]

Answer:

A. horizontal reflection

Step-by-step explanation:

Given:

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

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

To identify the type of transformation.

Solution:

On close observation of the functions we find the that sign of x has changed in g(x) with other terms being constant.

<em>Thus, the transformation statement can be given as:</em>

f(x)\rightarrow f(-x)

As:

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

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

The transformation f(x)\rightarrow f(-x) describes horizontal reflection of function across the y-axis.

Thus, f(x)  is horizontally reflected across y-axis to get g(x).

8 0
4 years ago
__.(__+__)
Mademuasel [1]
Greatest is number 8 and least is -11.
6 0
3 years ago
How do you simplify <br> -5(a-6) + 2a
Vilka [71]
Easy, take your problem,

-5(a-6)+2a

Multiply the 5.

-5a+30+2a

Then just add apples and oranges.

-5a+2a= -3a.

Making your equation -3a+30.
4 0
3 years ago
Read 2 more answers
Apply the distributive property to the expression 7(2x - 8y - 6) to produce an equivalent expression.
MaRussiya [10]

Answer:

14x-56y-42

Step-by-step explanation:

Given data

We have the expression

7(2x - 8y - 6)

Open the bracket we have

14x-56y-42

Hence the equivalent expression is

14x-56y-42

4 0
3 years ago
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