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kakasveta [241]
3 years ago
15

Martha brought all of her money with her to the mall. She spent $22.50 on a shirt, so

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0

Answer:

56.25

Step-by-step explanation:

divided 22.50 in half to get 1/5 then times that 1/5 by 5 to get the answer

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1. Today Amy’s bank account contains $116.85. Yesterday she made a deposit of $32.50. What was the bank account balance before A
V125BC [204]
Amy had $84.35 before the deposit.
$116.85 - $32.50 = $84.35
8 0
4 years ago
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What is the range of f(x) = x2 - 6x +6, when f () is defined on the domain Osx54?
aleksandrvk [35]

9514 1404 393

Answer:

  -3 ≤ f(x) ≤ 6

Step-by-step explanation:

The minimum value of the function on that range is -3; the maximum value is 6.

The range of f(x) on the given domain is [-3, 6].

4 0
3 years ago
Which statement describes this system of equations?<br> 9x – 6y = 15, <br> 3x – 2y = 5
enot [183]

This system of equation has an infinite number of solutions.

You can tell this because multiplying one equation by a constant gives you exactly the other equation. You can multiply the second equation by 3.

9x - 6y = 15

5(3x - 2y = 5) = 9x - 6y = 15

When this happens, you can assume that there are an infinite number of solutions.

7 0
4 years ago
Read 2 more answers
Suppose you have a 6-face unfair dice with numbers 1,2,3,4,5,6 on each of its faces. If the probability distribution of throwing
noname [10]

Answer:

Expectation is equal to 4.75

Variance is equal to 3.02

Step-by-step explanation:

Consider the attached image.

Let x_i denotes each of the outcome.

Expectation =E(X) = ∑x_if(x_i)

=1(\frac{1}{12}) +2(\frac{1}{12}) +3(\frac{1}{12}) +4(\frac{1}{12}) +5(\frac{1}{12}) +6(\frac{7}{12})

=\frac{1}{12}+\frac{2}{12}+\frac{3}{12}+\frac{4}{12}+\frac{5}{12}+\frac{42}{12}\\\\=\frac{57}{12}\\\\=4.75

E(X^2)= ∑ x_i^2f(x_i)

=1^2(\frac{1}{12}) +2^2(\frac{1}{12}) +3^2(\frac{1}{12}) +4^2(\frac{1}{12}) +5^2(\frac{1}{12}) +6^2(\frac{7}{12})

=(\frac{1}{12}) +4(\frac{1}{12}) +9(\frac{1}{12}) +16(\frac{1}{12}) +25(\frac{1}{12}) +36(\frac{7}{12})\\\\=\frac{307}{12}

Variance  =E(X^2)-[E(X)]^2

=(\frac{307}{12})-(\frac{57}{12})^2\\\\  =\frac{307}{12}-\frac{3249}{144}\\\\  =\frac{3684-3249}{144}\\\\ =\frac{435}{144}\\\\ =3.02

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3 0
3 years ago
The coordinates of A and B are (1,2) and (2,3). Find the coordinates of R so that AR/RB=4/3
Bogdan [553]

Let the coordinates of R (x,y)GivenA(1,2) B(2,3)and ARRB=43⇒(x,y)=(4(2)+3(1)4+3,4(3)+3(2)4+3)⇒(x,y)=(117,187)So,the coordintes of R(117,187)
7 0
3 years ago
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