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frosja888 [35]
3 years ago
14

Which represents the percent of time the outcome is less than a given outcome occur?

Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0
Cumulative relative frequency
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Evaluate 4y when y = 5
Darina [25.2K]

Step-by-step explanation:

4y

4 (5)

4×5

20

y=20

Hope its helpfulllll

3 0
3 years ago
Simplify 8/-3 ÷ -4/9<br><br> A. -8<br> B. -6<br> C. 6<br> D. 8
geniusboy [140]

Answer:

C. 6

Step-by-step explanation:

to divide by a fraction multiply by the recirpocal of that fraction.

8/3 ÷ 9/4

reduce the numbers with GCF 4 which equals 2/3 x 9

reduce the numbers with GCF 3 which equals 2x3= 6

4 0
2 years ago
Given: PRST is a square
xxTIMURxx [149]

Answer:

(1-\sqrt{2})a^2

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

PS^2=PR^2+RS^2\\ \\PS^2=a^2+a^2\\ \\PS^2=2a^2\\ \\PS=\sqrt{2}a

Thus,

MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a

Consider isosceles triangle MSC. In this triangle

MS=MC=(\sqrt{2}-1)a.

The area of this triangle is

A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}

Consider right triangle PTS. The area of this triangle is

A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2

5 0
3 years ago
In the parallelogram, find y.
harkovskaia [24]

Answer:

y = 9

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8 0
2 years ago
Read 2 more answers
What value of x makes the equation true?<br> 3(4x-5)-4x+1=-6<br> Please show work
V125BC [204]

Answer:

x = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3(4x - 5) - 4x + 1 = -6

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 3:                    12x - 15 - 4x + 1 = -6
  2. Combine like terms:       8x - 14 = -6
  3. Isolate <em>x</em> term:                 8x = 8
  4. Isolate <em>x</em>:                          x = 1

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    3(4(1) - 5) - 4(1) + 1 = -6
  2. Multiply:                               3(4 - 5) - 4 + 1 = -6
  3. Subtract:                              3(-1) - 4 + 1 = -6
  4. Multiply:                               -3 - 4 + 1 = -6
  5. Subtract:                              -7 + 1 = -6
  6. Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = 1 is the solution to the equation.

3 0
2 years ago
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