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BaLLatris [955]
3 years ago
7

A six-sided Fair number cubis rolled 100 times as part of an experiment. The frequency of the role of the number 3 is 20. W hich

statement about rolling a 3 is correct
Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

The Theoretical probability is 1/6.

The experimental probability is 1/5

Step-by-step explanation:

Given

Rolls: 100

Outcome of 3 : 20

Required

Which of the options is true (See attachment for options)

From the attachment, we understand that the question requires that we calculate the experimental and theoretical probability.

The experimental probability (E) is calculated as thus:

E = \frac{Outcomes}{Total\ Rolls}

E = \frac{20}{100}

E = \frac{1}{5}

The theoretical probability (T) is calculated as thus:

A cube has 6 faces, one of which is the face 3.

So, T is:

T = \frac{n(face\ 3)}{n(Total)}

T = \frac{1}{6}

Hence, C is true

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Line 1 passes through the points A(-15,-8) and B(-3,0). Line 2 has
Katyanochek1 [597]

Answer:

The equation of line 3 is;

y = \frac{2}{3} x + 6

Step-by-step explanation:

Line 1 passes through the points A(-15,-8) andn B(-3,0)

Line 2 has equation shown below;

5x - 3y + 18 = 0

Line 3 is parallel to line 1 and has the same y-intercept as line 2.

We are to determine the equation of line 3.

<u>Equation of line 1:</u>

<u />

Slope = change in y-axis ÷ change in x-axis

The slope of line 1 = \frac{0 - -8}{-3 - -15}  = \frac{8}{12} = \frac{2}{3}

Picking another point (x,y) on the line;

Slope = \frac{y - 0}{x - -3}  = \frac{2}{3}

y = \frac{2}{3} x + 2 (this is the equation of line 1)

<u>Equation of line 2:</u>

<u />

We put the equation given, of line 2, in the cartesian plane format;

3y = 5x + 18

y = \frac{5}{3} x + 6

Finally, the equation of line 2 is;

y = 1\frac{2}{3} x + 6

<u>Equation of line 3:</u>

<u />

Given: Line 3 is parallel to line 1

The slopes of two parallel lines are the same so line 3 has a slope of \frac{2}{3}

Given: Line 3 has the same y-intercept as line 2

The y-intecept of line 2 is 6 (y-intercept is the value of y when x = 0)

So the equation of line 3 is;

y = \frac{2}{3} x + 6

3 0
2 years ago
PLZZZZZZZ HELPPPPPP MEEEEEE THISSSS ISSSS DUEEEEEE IN 15 MINTUES
dimaraw [331]

Answer:

C, Linear

General Formulas and Concepts:

<u>Algebra I </u>

  • Linear - Proportional relationship y = mx + b
  • Nonlinear - Any graph that has a degree x higher than 1

Step-by-step explanation:

<u>Step 1: Define</u>

y = 7x + 14

<u>Step 2: Identify</u>

We see a linear equation (proportional relationship). Therefore, we have a linear equation.

3 0
2 years ago
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Which of the following is the correct expansion of (3x-y)2
GREYUIT [131]
6x-2y (I believe so)
4 0
2 years ago
total of 393 tickets were sold for the school play. They were elther adult tickets or student tickets. The number of student tic
Andrews [41]
Answer: adult ticket = 131 , student ticket = 262

Explanation:

Let x be the number of student ticket
Let y be the number of adult ticket

x + y = 393

x = 2y

Substitute x value:

2y + y = 393
3y = 393
y = 131

Substitute y value in one of the equation above:

x = 2(131)
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8 0
3 years ago
A=1/2b and 3b:4c, find a:c<br> Can anyone help?
Hitman42 [59]

Answer:

3a: 2c

Step-by-step explanation:

a= \frac{1}{2}b \\2a= b\\\\

6a = 3b\\3b : 4c \\6a :4c\\\\=\\3a : 2c

6 0
3 years ago
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