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LenKa [72]
2 years ago
5

Determine the value of x in the figure.

Mathematics
1 answer:
ASHA 777 [7]2 years ago
8 0

Answer:

x = 3

Step-by-step explanation:

x + 27 = 7x + 9

27 = 6x + 9

18 = 6x

x = 3

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Which of the pairs of events below is mutually exclusive?
Nady [450]

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

3 0
3 years ago
Can someone do this for me ahhhh
Aleksandr [31]
28:13 is the answer i’m pretty for sure
4 0
3 years ago
Y = −2 4x − 3y = 18 solved by substitution please show work so i can understand :)
ycow [4]

Answer:

Step-by-step explanation:

y = -2

4x - 3y = 18

4x - 3(-2) = 18

4x + 6 = 18

4x = 12

x = 3

(3, -2)

5 0
3 years ago
Read 2 more answers
The dot plot shown represents the number of students enrolled in each of the 16 courses at a community college. A new course has
suter [353]

Answer:

select a b and c

Step-by-step explanation:

they are all false

7 0
3 years ago
Read 2 more answers
Work out the following questions ​
Basile [38]

Answer: The first one is 2 2/3 and the second one is 10 1/2

Step-by-step explanation: So 2/3 divided by 1/4. First you would do keep, change, flip. Then that would give you 2/3 times 4/1. 2/3 times 4/1 would be 8/3 which can be simplified to 2 2/3. The second one 7 divided by 2/3. Again do keep, change, flip. 7 times 3/2. This would give you 21/2 when you simplify you get 10 1/2.

6 0
3 years ago
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