Which of the following is a location, but has no dimension? Circle Point Ray Vertex

Someone please help me on this I’ll make you brainlist

mamaluj [8]

Answer:

M = (1,-2)

Step-by-step explanation:

The coordinates of the midpoint is the "average" of the x points and y points of the two coordinates given.

Given:

S = (-1,1)

T = (3,-5)

To find x coordinate of Midpoint M, we take average of both x coordinates of points S and T:

(-1+3)/2 = 1

To find y coordinate of Midpoint M, we take average of both y coordinates of points S and T:

(1-5)/2 = -2

So, the Midpoint M is:

M = (1,-2)

8 0

3 years ago

A computer chess game and a human chess champion are evenly matched. They play ten games. Find probabilities for the following e

AleksAgata [21]

Answer:

(a) The probability that each of them win five games is 0.2461.

(b) The probability that the computer wins seven games is 0.1172.

(c) The probability that the human wins at least 7 games is 0.1711.

Step-by-step explanation:

Let the random variable X = the human wins a chess game.

The probability that the human wins a game is, P (X) = p = 0.50.

The number of games played by the computer and the human is, n = 10.

The random variable $X\sim Bin(n = 10,p=0.50)$

The probability distribution of the Binomial random variable X is:

$P (X=x)={n\choose x}p^{x}(1-p)^{n-x}={10\choose x}(0.50)^{x}(1-0.50)^{10-x}$

(a)

If both the computer and the human wins five games each then the probability of the human winning 5 games is:

$P (X=5)={10\choose 5}(0.50)^{5}(1-0.50)^{10-5}\\=252\times 0.03125\times0.03125\\=0.246094\\\approx 0.2461$

Thus, the probability that each of them win five games is 0.2461.

(b)

If the computer wins 7 games then the number of games won by the human is, 10 - 7 = 3.

P (Computer winning 7 games) = P (Human winning 3 games)

The probability that the human wins 3 games is:

$P (X=3)={10\choose 3}(0.50)^{3}(1-0.50)^{10-3}\\=120\times 0.125\times0.0078125\\=0.1171875\\\approx 0.1172$

Thus, the probability that the computer wins seven games is 0.1172.

(c)

Compute the probability that the human wins at least 7 games as follows:

$P(X\geq 7)=P(X=7)+P(X=8)+P(X=9)+P(X=10)\\={10\choose 7}(0.50)^{7}(1-0.50)^{10-7}+{10\choose 8}(0.50)^{8}(1-0.50)^{10-8}\\+{10\choose 9}(0.50)^{9}(1-0.50)^{10-9}+{10\choose 10}(0.50)^{10}(1-0.50)^{10-10}\\=0.1172+0.044+0.009+0.0009\\=0.1711$

Thus, the probability that the human wins at least 7 games is 0.1711.

5 0

4 years ago

What’s the place value of the 4 in 7.724

Aliun [14]

It’s the thousandths place

4 0

3 years ago

Explain the difference between a vertical angle, the vertical angle theorem and the proof for vertical angle theorem

Pepsi [2]

Vertical angles are angles that are across each other

Vertical angle theorem is that all vertical angles are congruent.

You can do basic angle chasing, naming the angles x and the others y. 180-x=y and 360=2x+2y. Then x=x, proving they are vertical angles.

3 0

3 years ago

Solve. Then, rewrite the complete number sentence in decimal form

MissTica

Step-by-step explanation:

a)

6.9+1.1= 8

b)

9.9+2.45=12.35

$12 \frac{35}{100}$

c)

2.4+8.9=11.3

$11 \frac{3}{10}$

d)

6.37+7.7=14.07

$14 \frac{7}{100}$

6 0

3 years ago