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3 years ago

Find the 92nd term of the arithmetic sequence 11, 19, 27, ...

Mathematics

1 answer:

arlik [135]3 years ago

6 0

Answer:

The 92nd term of the arithmetic sequence is 731 because the common difference between them is 8 and then I added 8 with every single number that I got and I continued adding until I get my 92nd term which is 731.

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Which mathematical property is demonstrated?

Arlecino [84]

Answer:

I am pretty sure that the answer to this question is A: comunative property of addition

Step-by-step explanation:

I'm 99% sure

I'm sorry if it turns out to be wrong

cause I have not yet finished the test

8 0

3 years ago

You drive 132 miles in 3 hours. At<br> that speed, how many miles could you drive in 4 hours?

sasho [114]

Answer:

You would divide 132 by 3 to get the unit rate of 44 mph. Then multiply by 4 to get 176 miles in 4 hours

Step-by-step explanation:

8 0

3 years ago

Determine the area of the following circle

sleet_krkn [62]

Answer:

31.6 sq.in i got by using 2pier formula

3 0

3 years ago

Read 2 more answers

I really need help with this.

aniked [119]

9514 1404 393

Answer:

a. (1.4, 2.6)

b. (3, 2)

Step-by-step explanation:

a. The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle.

For points X(a, b) and Y(c, d), the perpendicular bisector of XY can be written as ...

(c -a)(x -(c+a)/2) +(d -b)(y -(d+b)/2) = 0

Then the equation of the perpendicular bisector of MN is ...

(-2-4)(x -(-2+4)/2) +(4-0)(y -(4+0)/2) = 0

-6(x -1) +4(y -2) = 0

3x -2y = -1 . . . . divide by -2 and put in standard form

Similarly, the perpendicular bisector of NO is ...

(0-(-2))(x -(0-2)/2) +(6 -4)(y -(6+4)/2) = 0

2(x +1) +2(y -5) = 0

x + y = 4 . . . . divide by 2 and put in standard form

So, the point of intersection is ...

(3x -2y) +2(x +y) = (-1) +2(4) . . . . . add twice the 2nd equation to the 1st

5x = 7 . . . . . . simplify

x = 1.4 . . . . . . divide by 5

y = 4-1.4 = 2.6 . . . . . find y from the second equation

The coordinates of the circumcenter are (1.4, 2.6).

b. The centroid is the average of the vertex coordinates.

centroid = (A +B +C)/3 = ((1, 2) +(3, 4) +(5, 0))/3 = (1+3+5, 2+4+0)/3 = (9, 6)/3

centroid = (3, 2)

3 0

3 years ago

The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 27% are R

Ilia_Sergeevich [38]

Answer:

The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

Step-by-step explanation:

Let us suppose that,

R = Republicans

D = Democrats

I = Independents.

X = a member favors some type of corporate tax reform.

The information provided is:

P (R) = 0.27

P (D) = 0.56

P (I) = 0.17

P (X|R) = 0.34

P (X|D) = 0.41

P (X|I) = 0.25.

Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:

$P(X)=P(X|R)P(R)+P(X|D)P(D)+P(X|I)P(I)\\= (0.34\times0.27)+(0.41\times0.56)+(0.25\times0.17)\\=0.3639$

The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.

Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:

$P(D|X)=\frac{P(X|D)P(D)}{P(X)} =\frac{0.41\times0.56}{0.3639}=0.6309$

Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

5 0

3 years ago