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KATRIN_1 [288]
3 years ago
15

A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled togethe

r, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray. S = {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66} Write the following event as a set. (Enter your answer in set-roster notation. Enter EMPTY or ∅ for the empty set.) The event that the numbers showing face up are the same. E =___________.
Mathematics
1 answer:
Nikitich [7]3 years ago
7 0

Answer:

E = {11, 22, 33, 44, 55, 66}

Step-by-step explanation:

There 36 total possible outcomes when rolling two dice together. Since there are six different numbers, in only six of those outcomes the numbers showing face up are the same. Therefore, the probability of the number showing face up being the same is 1/6. The set that represents this event is.

E = {11, 22, 33, 44, 55, 66}

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Jasmine was expected to get $150 for her bonus, but she only got $100. What was the percent error?
Slav-nsk [51]

Answer:

Jasmine expected to get $150 for her bonus, but she only got $100. What was the percent error?

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Amt of error:: $50

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% error:: 50/150 = 1/3 = 33 1/3%

7 0
2 years ago
AC = 6
lord [1]

Answer:

Dilate from center A by scale factor of 2, then reflect over line AC

Step-by-step explanation:

6 0
2 years ago
A sign language club made $627. 50 from selling popcorn at a festival. The popcorn cost the club $95. 0. Which expression repres
solmaris [256]

The expression representing the amount of money that was raised for each member of the club is \dfrac{627.50 - 95.0}{m} (in dollars)

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, a \div b = a divided in b equal parts.

Also, we can write: a \div b = a \times \dfrac{1}{b}

(it is since a = a \times 1 so a/b = 1 \times (a/b) = (1/b) \times a )

<h3>How to find the profit earned?</h3>

Profit earned is the extra money which we make after deducing the cost price of the process we're doing.

So, we get:

Profit earned = Total amount earned - Amount spent initially for preparation to earn

P = Selling price (S.P.) = Cost price (C.P.)

For the given case, we're given that:

  • Amount made by the sign language club by selling popcorn at a festival = $627.50
  • The cost price for the popcorn to the club = $95.0

The money raised = Amount made by selling popcorn - amount costed to the club for getting popcorn

Money raised = $627.50 - $95.0

If it is given that: m = number of members in the considered club, then:

Money each member of the considered club will get = Money raised divided in equal m parts = \dfrac{627.50 - 95.0}{m} (in dollars)

(we don't write symbols like of currency generally, and understand it from context.)

Thus, the expression representing the amount of money that was raised for each member of the club is \dfrac{627.50 - 95.0}{m} (in dollars)

Learn more about division here:

brainly.com/question/26411682

8 0
2 years ago
[ Please help! ] Choose the equation that represents the graph below.
Kitty [74]

The line crosses the x -axis at point (9,0) and the y-axis at point (0,6).

If the equation of the line is y=kx+b, then substitute the coordinates of the points into this equation:

1) 0=9k+b;

2) 6=b.

Substitute the second equation into the first:

9k+6=0,\\ \\k=-\dfrac{2}{3}.

The equation of the line is

y=-\dfrac{2}{3}x+6.

Answer: option C


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2 years ago
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