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Orlov [11]
3 years ago
15

Which of the following (-1,8) and (5,-2) are the distance of the line segment

Mathematics
1 answer:
olganol [36]3 years ago
8 0

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (-1, 8) and (5, -2). Substitute:

d=\sqrt{(5-(-1))^2+(-2-8)^2}=\sqrt{6^2+(-10)^2}=\sqrt{36+100}=\sqrt{136}\\\\=\sqrt{4\cdot34}=\sqrt4\cdot\sqrt{34}=\boxed{2\sqrt{34}}

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Please help!!! This is one question with a couple parts I am extremely confused and it would be amazing if you could show steps!
Dovator [93]

Answer:

  a)  |n -11| = 5

  b)  n ∈ {6, 16}

Step-by-step explanation:

The wording of the question is ridiculous. We assume it is intended to read, "The distance between two numbers is 5. One of the numbers is 11. What are the possibilities for the other?"

a) The distance between a number (n) and 11 can be written as ...

  |n -11|

Since we want that distance to be 5, we can write the equation ...

  |n -11| = 5

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b) The equation resolves to two:

  • n -11 = 5
  • n -11 = -5

Adding 11 to both sides of both equations gives ...

  • n = 16
  • n = 6

The two solutions are n=6 and n=16.

_____

<em>Comment on the question statement</em>

Increasingly, we see curriculum materials written in Pidgin English or where the words have a meaning different from that understood by a native English speaker. It appears you are the lucky recipient of such materials, so must do occasional "interpretation". Here, it seems that "two time a number" is intended to mean "two numbers."

4 0
3 years ago
According to a survey, 40% of adults watch a particular television show. Six adults are selected at random. The binomial distrib
iren [92.7K]

Answer:

The distribution is  

b) skewed.

The sum of the probabilities is:

1

Step-by-step explanation:

In a binomial distribution, p represents the probability of success. Success in the sense that the event of interest happens. In the model presented, the probability of success p is 0.4 since we are informed that 40% of adults watch a particular television show.

The next quantity of significance in a binomial model is the number of independent trials, n. In our case there are 6 independent trials since we are told that 6 adults were selected at random. If we let the random variable K denote the number of adults out of the 6 who watch the television show, then K is a binomial random variable with parameters;

n = 6 and p = 0.4

A binomial distribution is only symmetric when either p is 0.5 or n is large. In the presented scenario none of this conditions is met since p is 0.4 while n is just 6 which is relatively small. Thus we conclude that the distribution is not symmetric but rather skewed.

The sum of the probabilities is any discrete probability distribution such as the bernoulli, binomial, negative binomial, poisson, or the geometric distribution is always equal to 1. That's a rule of thumb.

7 0
4 years ago
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QveST [7]
C, Leilani is the fastest.

4 0
3 years ago
6= 2(y+2). Helppppppppppppppp
Licemer1 [7]

Answer:

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Step-by-step explanation:

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Lynn is knitting a blanket for her cousin. She uses 2/7 of a roll of yarn each day. How much yarn will she use in four days.
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Step-by-step explanation:

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