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777dan777 [17]
3 years ago
5

Find the probability of rolling a three first and then a ten when a pair of dice is rolled twice

Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

1/216

Step-by-step explanation:

When a pair of dice is rolled, there are 36 possible different outcomes.

Of those 36 different outcomes, a sum of 3 is obtained in 2 different ways: 1, 2 and 2, 1.

Of those 36 different outcomes, a sum of 10 is possible in 3 different ways: 6, 4; 5, 5; 4, 6.

p(3 followed by 10) = p(3) * p(10) = 2/36 * 3/36 = 1/18 * 1/12 = 1/216

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In the rhombus, angle 1=9x, angle 2=y+x, and angle 3=15z. Find the value of each variable. The diagram is not to scale.
notka56 [123]
From the diagram, all three angles are 90° (Diagonals of a Rhombus)

Angle 1 = 9x = 90
⇒ 9x = 90
x = 90/9
x = 10


Angle 2 = y + x = 90
⇒ y + x = 90
since x = 10,
y + 10 = 90
y = 90 - 10
y = 80


Angle 3 = 15 z = 90
⇒ 15z = 90
z = 90/15
z = 6

Answer is Option C
<span>C. x = 10, y = 80, z = 6</span>
3 0
3 years ago
Help me answer this question
Elden [556K]
Ok, so basically, the amount of orange pics is 3/5.
I think better w/ visuals, so i drew 5 circles, and colored 3 orange
Since the 3 circles represent 12 picks (because there are 12 picks total and 3/5 of the picks are orange) you nee to find out how many picks 1 circle represents.
In order to find this, do 12/4=3
One circle equals 3 picks
multiply 3 by 5, and you get 15
Hope this helps because this is a better explanation for visual learners!
7 0
3 years ago
195% is equivalent to what fraction in reduced terms?
miss Akunina [59]

Answer:  Reduce (simplify) 195/100

Step-by-step explanation:

7 0
3 years ago
Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down w
Furkat [3]

Answer:

Sam's time was 1 hour and 6.66 minutes (or 1 and 1/9 hours)

Liam's time was was 1 hour

So in conclusion, Liam was faster

Step-by-step explanation:

We got Sam's time by 1/1 because Sam was walking 1 mph and the length to reach the top of the hill is 1 mile. So it would take Sam 1 hour to walk 1 mile. Walking down the hill Sam's speed was 9 mph. So the equation would be 1/9. So you would get 1/9. 1/9 of 60 is 6.66 repeating.

For Liam it is pretty simple. Since he is going up the hill at 2 mph and the length of the bottom of the hill to the top is 1 mile, it would be 30 minutes. Repeat this for the top to the bottom and in total it would be 1 hour.

Hope this helps

3 0
3 years ago
the length of a rectangle is 3 cm more than twice its width. Find the largest possible width if the perimeter is at most 66cm
Vanyuwa [196]
If you let the width be x, then the length will be 2x + 3. The perimeter P is twice the width plus twice the length, i.e., P = 2*x + 2*(2x + 3) = 2x + 4x + 6 = 6x + 6. So if the perimeter is 66 cm then 66 = 6x + 6 ---> 6x = 60 ---> x = 10 cm., and so if the perimeter is at most 66 cm., the width can be at most 10 cm..
6 0
3 years ago
Read 2 more answers
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