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Maurinko [17]
3 years ago
10

At a school, 43% of students attend the homecoming football game. Only 23% of students go to the game and the homecoming dance.

What is the probability that a student who attends the football game also attends the dance?
Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

0.535

Step-by-step explanation:

Let students that attend homecoming = H

Let students that attend football game = F

Pr(H) = 43% = 0.43

Pr (H and F) = 23% = 0.23

For conditional probability,

Pr(H and F) = Pr(H) * Pr(H|F)

Pr(H|F) = Pr(H and F) / Pr(H)

=0.23/0.43

Pr(H|F) = 0.535

The probability that a student attends football game and also attends dance = 0.535

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lisov135 [29]

Answer: multiply (1/3√x-3/2√y)^2

Step-by-step explanation: Answer: 1/2 of 1/2 is 1/4.

8 0
1 year ago
For a button to fit through its button-hole the hole needs to be the size of the buttons diameter what size buttonhole is needed
Lena [83]

Answer:the size of the button hole is 2.35 cm

Step-by-step explanation:

For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.

The formula for determining the circumference of a circle is expressed as

Circumference = πd or 2πr

Where

d represents the diameter of the circle

π is a constant given as 3.14

From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be

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3 0
3 years ago
Find the solution of the system by graphing
zvonat [6]

Answer:

x = -2

y = -1

(-2, -1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

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

y = x + 1

3x + 3y = -9

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                              3x + 3(x + 1) = -9
  2. Distribute 3:                                   3x + 3x + 3 = -9
  3. Combine like terms:                     6x + 3 = -9
  4. Isolate <em>x</em> term:                               6x = -12
  5. Isolate <em>x</em>:                                        x = -2

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

  1. Define original equation:                    y = x + 1
  2. Substitute in <em>x</em>:                                     y = -2 + 1
  3. Add:                                                      y = -1

<u>Step 4: Graph systems</u>

<em>Check the solution set.</em>

6 0
3 years ago
Pls help i will give brainliest
Novosadov [1.4K]
<h3>Answer:   -a > -b</h3>

Explanation:

Let's go over an example.

We'll have a = 1 and b = 7 which makes a < b true. Feel free to pick your own favorite pair of numbers such that b is larger than 'a'.

The corresponding opposites are:  -a = -1 and -b = -7

The relationship flips because the opposites of each number are flipped. So instead of saying -a < -b, we have -a > -b

Sure enough, -1 > -7 is a true statement. Use a number line to see this. I recommend a vertical number line.

In short, going from a < b to -a > -b means we flip the signs of each term, and we flip the inequality sign as well.

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2 years ago
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Masja [62]

Answer:

See below.

Step-by-step explanation:

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\sec(\theta)=-2/\sqrt{3}

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Therefore, the possible values for theta is

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and

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6 0
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