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Ganezh [65]
3 years ago
7

I want to solve it, just walk me through it:). . Assume you are rolling two dice; the first one is red, and the second is green.

Use a systematic listing to determine the number of ways you can roll a total less than 12 on the two dice.. . In how many ways can you roll less than 12?
Mathematics
1 answer:
dem82 [27]3 years ago
6 0
By rolling two dices, you can have a result in 36 ways because every die has 6 sides. And if we are going to use a formula, it would be 6*6. But since the way which would have the result of 12 is an exemption, there would only now have 35 ways.
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Apply Gaussian quadrature with n = 4 to approximate integrate sin x^2dx from 1 to 5
maks197457 [2]
First, recall that Gaussian quadrature is based around integrating a function over the interval [-1,1], so transform the function argument accordingly to change the integral over [1,5] to an equivalent one over [-1,1].

x=2t+3\iff t=\dfrac x2-\dfrac32\implies2\mathrm dt=\mathrm dx
x=1\implies t=\dfrac{2-6}4=-1
x=5\implies t=\dfrac{10-6}4=1

So,

\displaystyle\int_{x=1}^{x=5}\sin x^2\,\mathrm dx=\displaystyle2\int_{t=-1}^{t=1}\sin(2t+3)^2\,\mathrm dt

Let f(t)=2\sin(2t+3)^2. With n=4, we're looking for coefficients c_i and nodes x_i, with 1\le i\le4, such that

\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx c_1f(x_1)+\cdots+c_4f(x_4)

You can either try solving for each with the help of a calculator, or look up the values of the weights and nodes (they're extensively tabulated, and I'll include a link to one such reference).

Using the quadrature, we then have

\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.3749f(-0.8611)+0.6521f(-0.3400)+0.6521f(0.3400)+0.3749f-0.8611)
\displaystyle\int_{-1}^1f(t)\,\mathrm dt\approx0.5790
4 0
3 years ago
Im giving out brainliest if you answer ;)
lawyer [7]

Answer:

its the second oneeeee byeeeeeeeee brainliest plssssssss

Step-by-step explanation:

4 0
3 years ago
Graph the solution of y ≥ 1/3x + 4. (points plz)​
Snowcat [4.5K]

Answer:

(0,4) (3,5) (6,6)

Step-by-step explanation:

solid line

shaded above

5 0
3 years ago
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x
Virty [35]

Answer:

A Is congruent to B and B Is congruent to C

Step-by-step explanation:

Let's look at the answer choices:

A: "A Is congruent to B and B Is congruent to C"

Well, clearly, if A ≅ B and B ≅ C, then by the transitive property, we can say that A ≅ C. So, A is very likely correct.

B: "A Is congruent to A, B Is congruent to B, C Is congruent to C"

Just because A is congruent to itself (and same with B and C) doesn't necessarily mean that they're congruent <em>to each other</em>. So, B is wrong.

C: "Each triangle is a right triangle."

Again, there are so many right triangles out there with different dimensions. For example, there are some with sides 3, 4, and 5, and others with sides 5, 12, and 13. They are <em>not</em> congruent, however. So, rule out C.

D: "Each triangle is an isosceles triangle."

This is just like choice C since there are so many variations of isosceles triangles. So D is wrong.

The answer is thus A.

5 0
4 years ago
Read 2 more answers
disributivity of multiplication over addition for rational numbers solve : -3/4 , 2/3 and -5/6 = 1/8 ? how ?​
Nezavi [6.7K]

The distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

<h3>Complete question</h3>

Which of the following is an example of distributive property of multiplication over addition for rational numbers

(a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

(b) -3/4 × {2/3 + (-5/6)} = [3/4 × 2/3] - (-5/6)

(c) -3/4 × {2/3 + (-5/6)} = 2/3 + (-3/4) × -5/6

(d) -3/4 × {2/3 + (-5/6)} = {2/3 + (-5/6)} - 3/4

<h3>How to determine the correct distributive property?</h3>

The distributive property of multiplication states that:

a * (b + c) = (a * b) + (a * c)

From the given question, we have:

-3/4 × {2/3 + (-5/6)}

This means that:

a = -3/4

b = 2/3

c = -5/6

Recall that a * (b + c) = (a * b) + (a * c)

So, we have:

-3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

Hence, the distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

Read more about distributive property at:

brainly.com/question/4077386

#SPJ1

5 0
2 years ago
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