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miskamm [114]
3 years ago
6

Lucy rolls 2 fair dice and adds the results from each.

Mathematics
2 answers:
stellarik [79]3 years ago
7 0

Answer:

The probability is 7/36

Step-by-step explanation:

In this question, we are tasked with calculating the probability that when we roll two fair dice, the sum of two numbers on both dies equal to 5.

Before we go on answering the question, we need to know the number of elements in our sample space. What this means is that we need to know the number of results we can have. The total number of results we can have is 6 * 6 = 36

Now, the next thing to know is how many of our results would yield a multiple of 5 each. Now let’s look at the attachment for the tabular representation we have.

Now, looking at our table, we can see that we have 7 circled results where we have a possibility of a multiple of 5.

The probability is thus the number of these additions divided by the total number of outputs= 7/36

Dovator [93]3 years ago
4 0

Answer:

P(multiple of 5) = 7/36

Step-by-step explanation:

A dice typically has numbers from 1 to 6. Now, since 2 dices are rolled, the possible sums of both numbers would range from 1 + 1 to 6 + 6. This can be easily written as from 2 to 12.

So, the possible multiples of 5 within this 2 to 12 range are; 5 and 10

Thus, first of all,the possible numbers on the two dice that add up to 5 are; (1,4) ( 4,1) (2,3) (3,2)

So there are 4 possible outcomes that could add up to 5.

Secondly,the possible numbers on the two dice that add up to 10 are; (5,5) (4,6) (6,4)

So there are 3 possible outcomes that could add up to 10

Hence, we have (4 + 3) = 7 possible outcomes for a multiple of 5

Now, in a double dice like this, there are 36 possible outcomes in total.

Thus;

P(multiple of 5) = 7/36

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inysia [295]

Answer:

shortest side= x

longest side= x+8

other side= 3x

x+x+8+3x= 33

5x+8=33

5x= 25

x= 5

shortest side= x= 5

longest side= x+8= 5+8= 13

other side= 3x= 3(5)=15

Step-by-step explanation:

8 0
3 years ago
A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4
Alexandra [31]

Answer:

Original price of car = $20,000

Step-by-step explanation:

Let the original price of the car be 'x' dollars.

Given:

Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.

Worth of car after 8 years = $5000

Value after depreciation in 4 years = Half of original value = \frac{x}{2}

So, value of car after depreciation in another 4 years = Half of the value after 4 years = \frac{1}{2}(\frac{x}{2})=\frac{x}{4}

Therefore, final depreciated value after 8 years is \frac{x}{4}.

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\frac{x}{4}=5000\\x=5000\times 4\\x=20000

Therefore, the original price of the car was $20,000.

3 0
3 years ago
There is a vendor at a carnival selling bags of cotton candy. Each bag of cotton candy has the same cost. She starts each day wi
umka21 [38]

Answer:

The cost of each cotton candy bag is $4.

Step-by-step explanation:

Consider the provided information.

Let, the vendor has x dollar at the starting of each day.

Let, the cost of each cotton candy bag is y.

Now when she sells a total of 12 bags, she has $128.

x+12y=128  .....(1)

After she sells a total of 20 bags, she has $160.

x+20y=160  ....(2)

Subtract equation 1 from equation 2.

(x+20y)-(x+12y)=160-128

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Hence, the cost of each cotton candy bag is $4.

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kenny6666 [7]
-2x + 16 < = 10
-2x < = 10 - 16
-2x < = - 6
x > = -6/-2
x > = 3............so any number that is 3 or above is in the solution set
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