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jek_recluse [69]
2 years ago
7

What is the probability of getting a total of 6 or 8 on a roll of a pair of dice?

Mathematics
2 answers:
il63 [147K]2 years ago
6 0

Answer:

5/36

Step-by-step explanation:

Tema [17]2 years ago
5 0
The probability is 15/36
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Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x' (t) is its velocity, and x'
vodka [1.7K]

Answer:

a) v(t) =x'(t) = \frac{dx}{dt} = 3t^2 -12t +9

a(t) = x''(t) = v'(t) =6t-12

b)  0

c) a(t) = x''(t) = v'(t) =6t-12

When the acceleration is 0 we have:

6t-12=0, t =2

And if we replace t=2 in the velocity function we got:

v(t) = 3(2)^2 -12(2) +9=-3

Step-by-step explanation:

For this case we have defined the following function for the position of the particle:

x(t) = t^3 -6t^2 +9t -5 , 0\leq t\leq 10

Part a

From definition we know that the velocity is the first derivate of the position respect to time and the accelerations is the second derivate of the position respect the time so we have this:

v(t) =x'(t) = \frac{dx}{dt} = 3t^2 -12t +9

a(t) = x''(t) = v'(t) =6t-12

Part b

For this case we need to analyze the velocity function and where is increasing. The velocity function is given by:

v(t) = 3t^2 -12t +9

We can factorize this function as v(t)= 3 (t^2- 4t +3)=3(t-3)(t-1)

So from this we can see that we have two values where the function is equal to 0, t=3 and t=1, since our original interval is 0\leq t\leq 10 we need to analyze the following intervals:

0< t

For this case if we select two values let's say 0.25 and 0.5 we see that

v(0.25) =6.1875, v(0.5)=3.75

And we see that for a=0.5 >0.25=b we have that f(b)>f(a) so then the function is decreasing on this case.  

1

We have a minimum at t=2 since at this value w ehave the vertex of the parabola :

v_x =-\frac{b}{2a}= -\frac{-12}{2*3}= -2

And at t=-2 v(2) = -3 that represent the minimum for this function, we see that if we select two values let's say 1.5 and 1.75

v(1.75) =-2.8125< -2.25= v(1.5) so then the function sis decreasing on the interval 1<t<2

2

We see that the function would be increasing.

3

For this interval we will see that for any two points a,b with a>b we have f(a)>f(b) for example let's say a=3 and b =4

f(a=3) =0 , f(b=4) =9 , f(b)>f(a)

The particle is moving to the right then the velocity is positive so then the answer for this case is: 0

Part c

a(t) = x''(t) = v'(t) =6t-12

When the acceleration is 0 we have:

6t-12=0, t =2

And if we replace t=2 in the velocity function we got:

v(t) = 3(2)^2 -12(2) +9=-3

5 0
3 years ago
Volume of cylinder 12 and 17​
Zarrin [17]

Please be more specific and what are the measurements as in height and radius or diameter.

4 0
3 years ago
Four-fifths of a spinach casserole is leftover after Sam has lunch. Jackie and Alicia each take 1/2 of the left over casserole.
valentina_108 [34]

Answer:

1/4

Step-by-step explanation:

Casserole received by Jackie and Alicie = 1/2 x 3/4 = 3/8 of the whole

Portion eaten by Jackie = 2/3 x 3/8 = 1/4 of the whole

6 0
2 years ago
michael made 9/12 of his free throws at practice.what is 9/12 in simplest form i really don't get simplest form
ruslelena [56]
To get simplest form you make it the smallest fraction you can make it by dividing both sides by the same number until it's not possible anymore Hope that helped!
4 0
3 years ago
Read 2 more answers
A newspaper prints that the average square footage of a house in Cleveland is significantly less than 2,379 square feet.
tatyana61 [14]

Answer: i’m confused on what the question is

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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