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Nata [24]
3 years ago
14

The coordinates of point T are (0,4). The midpoint of ST is (2, - 8). Find the coordinates of point S.

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

(4,-20)

Step-by-step explanation:

midpoint ((x1+x2)/2, (y1+y2)/2)

Let S be (x,y(

(0+x)/2=2, solve for x, x=4

(4+y)/2=-8, solve for y, y=-20

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45 degree angle

Step-by-step explanation:

180-55-80=x

180- 135=x

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3 years ago
Read 2 more answers
About 11% of adult Americans are left-handed. Suppose that two people are randomly selected from this
marshall27 [118]

Answer:

a) P(X=0)=(2C0)(0.11)^0 (1-0.11)^{2-0}=0.7921  

P(X=1)=(2C1)(0.11)^1 (1-0.11)^{2-1}=0.1958  

P(X=2)=(2C2)(0.11)^2 (1-0.11)^{2-2}=0.0121  

And then we have our probability distribution like this:

X     |       0    |      1     |     2    |

P(X) |  0.7921 | 0.1958 | 0.0121|

b) P(X \geq 1) = P(X=1)+P(X=2) = 0.1958+0.0121=0.2079

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=20, p=0.48)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Solution for the problem

Part a

On this case since we select a sample size of n =2 we have the following values for the number of left handed X=0,1,2. We can find the probabilities for each case since we know that p=0.11.

P(X=0)=(2C0)(0.11)^0 (1-0.11)^{2-0}=0.7921  

P(X=1)=(2C1)(0.11)^1 (1-0.11)^{2-1}=0.1958  

P(X=2)=(2C2)(0.11)^2 (1-0.11)^{2-2}=0.0121  

And then we have our probability distribution like this:

X     |       0    |      1     |     2    |

P(X) |  0.7921 | 0.1958 | 0.0121|

Part b

For this case we want this probability:

P(X \geq 1) = P(X=1)+P(X=2) = 0.1958+0.0121=0.2079

8 0
3 years ago
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Answer:

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