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Mama L [17]
3 years ago
13

Brandi rolls a fair Six-sided Number cube flips a fair coin, and then rolls the number cube again. Which outcome is part of samp

le space?
Mathematics
1 answer:
Komok [63]3 years ago
7 0

Answer:

Options aren't given but explanation and answer is below:

Step-by-step explanation:

First action/trial  -  Rolling a fair dice (6-sided number cube)

Second action      -  Flipping a fair coin

Third action        -   Rolling a fair dice

In this experiment, all the equipment are fair. What this means is that there is no bias; <u>every face of each equipment has an equal chance of emerging tops.</u>

In your options, you should have three values per option.

The first would be the number resulting from the first throw of dice.

The second would be head or tail; which are the only two faces of a coin.

The third would be the number resulting from the second throw of dice.

So ONE of those options will be a part of the sample space, which is enlisted below:

Trial A:  {1, 2, 3, 4, 5, 6}

Trial B:   {Head, Tail}

Trial C:   {1, 2, 3, 4, 5, 6}

* If there's an option like {9, Tail, 2} it will be wrong, because it has an element "9" which does not fall within the prescribed sample space.

* Also, if we follow the order in which Brandi conducted this experiment, an option like {Head, 6, 5} will be wrong, since the elements are wrongly placed.

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Answer:

x=-2 and y=-3

Step-by-step explanation:

2x+4y=-16

-2(-2x+2y=-2)

2x+4y=-16

4x-4y=4

6x=-12

x=-2

2x+4y=-16

2(-2)+4y=-16

-4+4y=-16

+4        +4

4y=-12

y=-3

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If Jackson went to the movies and payed $7 initially for his ticket and then payed $2 for each box of candy that he buys, then the equation could look like this: y = 2x + 7, where y represents the total cost and x represents the number of boxes of candy Jackson buys.

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An equation and the first step in its solution are shown: Equation: x2 + 8x - 9 = 0
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3 years ago
If PQ=RS, which of the following must be true?
maw [93]

<u>Answer:</u>

If PQ=RS then PQ and RS have the same length. Hence option D is correct

<u>Solution:</u>

Given that, pq = rs  

And, we have to find which of the given options are true.

<u><em>a) pq and rs form a straight angle </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>b) pq and rs form a zero angle. </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>c) pq and rs are same segment. </em></u>

If two things equal then there is no condition that both represents a single item.

So this statement is false.

<u><em>d) pq and rs have the same length </em></u>

As given that pq = rs, we can say that they will have the same length  

Hence, option d is true.

4 0
3 years ago
What is the area of ruth's mural?
pentagon [3]

Answer:

Step-by-step explanation:

Comment

The shape consists of a rectangle on the bottom and a trapezoid on the top.

Rectangle

A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.

Area = L * w

L = 14

w = 3

Area = 14 * 3 =                            42 m^2

Trapezoid

The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to  the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5

Area = 1/2(b1 + b2)*h/2

b1 = 14

b2 = 10

h = 8 - 3 = 5

Area = 1/2 ( 14 + 10) * 5 / 2

Area = 1/2 (24)*5

Area = 12 * 5

Area =                                      <u>    60 m^2</u>

Total Area                                  102 m^2

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