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Elis [28]
4 years ago
12

What are the odds of rolling a sum of 10 using two number cubes?

Mathematics
1 answer:
Andrew [12]4 years ago
5 0
|\Omega|=6^2=36\\
|A|=3\\\\
P(A)=\dfrac{3}{36}=\dfrac{1}{12}
You might be interested in
The equation of a circle is given below.
Nataliya [291]

Answer:

(h,k) = (32,-4)

r = 32

Step-by-step explanation:

The general equation for a circle is given by:

(x-h)^2+(y-k)^2=r^2   (1)

where (h,k) is the center of the circle and r is the radius.

You have the following equation:

x^2+(y+4)^2=64x   (2)

You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:

2b = 64

b = 32

Then, you have to sum 32^2 and also subtract the same number in the expression (2):

x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32

Furthermore, the center of the circle is (h,k) = (32,-4)

5 0
4 years ago
Suppose the population of a town is 2,700 and is growing 4% each year. A. Write an equation to model the population growth. B. P
miss Akunina [59]

Answer:

Third option i.e. A. 2700(1.04)^x and B. About 4,323 people

Step-by-step explanation:

We are given that,

Initial population of the town = 2,700

The rate of growth = 4% = 0.04

Part A: Since, the equation for the growth is given by,

Population growth = P(1+r)^x, where P is the initial population, r is the rate of growth and x is the time period of growth.

We have, according to the question,

Population growth = 2700(1+0.04)^x

i.e. Population growth = 2700(1.04)^x

Thus, the equation for the population growth is 2700(1.04)^x.

Part B: Now, it is required to find the population after 12 years i.e. x= 12.

So, we have,

Population = 2700(1.04)^x

i.e. Population = 2700(1.04)^{12}

i.e. Population = 2700\times 1.601032

i.e. Population = 4,323

Hence, the population after 12 years is 4,323 people.

Thus, the third option is correct.

5 0
3 years ago
Read 2 more answers
Jason works at least 5 hours but not more than 10. He earns $15.00 per hour. The function f(x) = 15t represents the money he ear
frosja888 [35]

Answer:

Step-by-step explanation:

The amount of money that Jason earns is dependent on the amount of time, t in hours that he works

The function f(x) = 15t represents the money he earns for working t hours. Therefore, the dependent variable is f(x) and the independent variable is t

Jason works at least 5 hours but not more than 10. This means that The minimum amount that he can earn is 15×5 = $75

The maximum amount that he can earn is 15×10 = $150

The practical domain is all possible values for t. It becomes

5 lesser than or equal to t lesser than or equal to 10

The practical range is all possible values for f(x). It becomes

75 lesser than or equal to f(x) lesser than or equal to 150

7 0
3 years ago
Helppppp pleaseeeeeee:/
irga5000 [103]

Answer:

y=5x+1

Step-by-step explanation:

If you look closely at each side, you will see that the x increases by one and the y increases by five.

To get to zero (0) from one (1), you need to substract one.

Every time one is subtracted for x, 5 is subtracted from y.

6-5=1

<u>Hope this helps :-)</u>

7 0
3 years ago
Read 2 more answers
Suppose that a basketball player different from the
Volgvan

Answer:

a. Mean = 6

Variance = 2.4

Standard Deviation = 1.55

b. P(X=16) = 0.124

Step-by-step explanation:

Given

n = Total shots = 10

p = Probability of success = 60%

p = 60/100

p= 0.6

q = Probability of failure

q = 1-p

q = 1 - 0.6

q = 0.4

a.

Mean = np

Mean = 10 * 0.6

Mean = 6

Variance = npq

Variance = 10 * 0.6 * 0.4

Variance = 2.4

Standard Deviation = √Variance

Standard Deviation = √2.4

Standard Deviation = 1.549193338482966

Standard Deviation = 1.55 --------- approximated

b.

We have X = 16

x = 10

Assume that the events "success" on the various throws are independent.

The 10th success came on the 16th attempt

So, the player had exactly 10 successes and 6 failures on 16th trial

So Probability = nCr 0.6^10 * 0.4^6

Where n = 15 and r = 9 (number of attempts and success before the 16th trial)

15C9 * 0.6^10 * 0.4^6

= 5005 * 0.0060466176 * 0.004096

= 0.123958563176448

= 0.124 ------ Approximated

6 0
3 years ago
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