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N76 [4]
3 years ago
7

A die is rolled twice. what is the probability of getting either a multiple of 3 on the first roll or a total of 7 for both roll

s?
Mathematics
1 answer:
const2013 [10]3 years ago
8 0
There would be a 44.4% chance of either of these happening. 

In order to find this we have to find out how many total possibilities there are. Because we have two die each with 6 sides, we have 36 total options. 

Of those options, 12 of them start with either a 3 or 6, which are multiples of 3. So we can add 12 to our lists of successes. 

Of those options, there are 4 more that don't start with those numbers, but do equal 7.  (1 and 6, 2 and 5, 4 and 3, 5 and 2). So we can add 4 to our list of successes. 

Knowing we have 12 and 4 successes, we can add them together to get 16. We can then divide that by the total options (36) to find the percentage above. 
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Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea
lbvjy [14]

Answer:

(0, 33)   : Yes

(4.8,  30.5)  : Yes


Step-by-step explanation:

height of at least 24 ft :  y >= 24

horizontal distance of no more than 10 ft. : 0 <= x <= 10

The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:

y >=  3x and y <= 33

So Constraints:

24 <= y <= 33

y >= 3x

0 <= x <= 10

Now check to see if those coordinate points meet all the constraints

(0, 33)   : Yes

(4.8, 30.5)  : Yes

(9, 26)  : No (because 26 is less than (3 * 9) = 27)

(4, 36) : No (because 36 > 33,  must be 24 <= y <= 33)

(2, 22): No (because 22 <24,  must be 24 <= y <= 33)

5 0
3 years ago
Find the distance between the points.<br><br> (9.7, -2.1), (-3.2, 8.1)
seropon [69]
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4 0
3 years ago
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Answer:

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5 0
3 years ago
X+y=3 x=6-4y using substitution
kenny6666 [7]

Givens

x + y = 3

x =6 - 4y

Solution

Use the top equation to substitute for x in the second equation.

x = 3 - y

Put this result into the second given equation and solve for y

3 - y = 6 - 4y        Add 4y to both sides.

3 - y + 4y = 6       Combine on the left

3 + 3y = 6            Subtract 3 from both sides

3 - 3 + 3y = 6 - 3  Combine

3y = 3                   Divide by 3

3y/3 = 3/3             Combine

y = 1                      

=========================

x + y = 3               but y = 1

x + 1 = 3                Subtract 1 from both sides.

x + 1 - 1 =3 - 1

x = 2

Answer

x = 2

y = 1

4 0
3 years ago
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