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juin [17]
3 years ago
14

What is the five number summary of the following data set? Write the numbers separated by commas. 45, 8, 51, 47, 31, 45, 12, 55,

48
Mathematics
1 answer:
Advocard [28]3 years ago
8 0
First order the numbers from least to greatest.
8,12,31, 45, 45,47, 48, 51,55
Min: 8
Q1: 21.5
Q2: 45
Q3: 49.5
Max: 55

To find Q1 find the average of the lower half. (12 + 31)/2
43/2 = 21.5
To find Q3 find the average of the upper half.
(48+51)/2= 49.5
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In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of t
Zepler [3.9K]

Answer:

<em>Approximate length of the side adjacent to ∠C is </em><em>7.66 inches.</em>

Step-by-step explanation:

*The appropriate triangle is attached below.

From the diagram, the right triangle ABC has

  1. Hypotenuse = \overline{AC}=10\ inch
  2. m\angle C=40^{\circ}

The side adjacent to angle C is BC. We can get the length of BC by applying trigonometric operations.

We know that,

\cos \theta =\dfrac{b}{h}

Putting the values,

\Rightarrow \cos 40 =\dfrac{BC}{10}

\Rightarrow BC=\cos 40 \times {10}

\Rightarrow BC=7.66\ in

6 0
3 years ago
What is the solution to the system of equations graphed below?
pentagon [3]

Answer:

C. (3,-2)

Step-by-step explanation:

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Use the pH standards below to answer the following questions:
Kazeer [188]
A is poor
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Solve the system by substitution <br><br> Y= -7x + 6 <br> Y = - 10x<br><br><br> Plz help
snow_tiger [21]

Answer:

(-2, 20)

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<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = -7x + 6

y = -10x

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

<em>Substitution</em>

  1. Substitute in <em>y</em> [1st Equation]:                                                                           -10x = -7x + 6
  2. [Addition Property of Equality] Add 7x on both sides:                                   -3x = 6
  3. [Division Property of Equality] Divide -3 on both sides:                                x = -2

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x </em>[2nd Equation]:                                                                         y = -10(-2)
  2. Multiply:                                                                                                             y = 20
7 0
3 years ago
Read 2 more answers
F(x) = -4x2 + 5x<br> Find f (6)
mina [271]
You would plug in 6 where the x is so it would be -4 times 2 plus 5(6)
7 0
3 years ago
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