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Inga [223]
2 years ago
13

What are the coordinates of the point on the directed line segment from (-4,1) to (1,6) that partitions the segment into a ratio

of 4 to 1?
Mathematics
1 answer:
Aleksandr [31]2 years ago
3 0

Answer:

a segment is partitioned at a ratio of 1:3, then the point is one-fourth of the distance from (-4,-1) to (2,7).

To compute the x-coordinate of that point, you will need to compute one-fourth of the x-distance between 2 and -4 then add it to -4: (2--4)/4 = 1.5; 1.5 + -4 = -2.5.

To compute the y-coordinate of that point, you will need to compute one-fourth of the y-distance between 7 and -1 then add it to -1: (7--1)/4 = 2; 2 + -1 = 1.

The point is (-2.5,1)

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The Copy Shop has made 20 copies of a document for you. Since the defective rate is 0.1, you think there may be some defective c
Pepsi [2]

Answer:

Binomial

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

Step-by-step explanation:

For each copy of the document, there are only two possible outcomes. Either it is defective, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem

Of the 20 copies, 2 are defective, so p = \frac{2}{20} = 0.1.

What is the probability that you will encounter neither of the defective copies among the 10 you examine?

This is P(X = 0) when n = 10.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.3487

There is a 34.87% probability that you will encounter neither of the defective copies among the 10 you examine.

8 0
3 years ago
Identify the binomial A. 2x 2 + 3x −1 + y B. x 2 C. x 2 −4x + 2 D. x 2 − 4
Mariulka [41]
D because a binomial means the expression has two: x2 and -4
3 0
3 years ago
A magazine published a list consisting of the state tax on each gallon of gas. If we add the 50 state tax amounts and then divid
Sedaia [141]
Answer: No, it would not be the mean of the tax paid by all US drivers.

To find the mean, we divided by 50 because there are 50 states. However, the number of people in each state is not equal. Therefore, the 50 states should not be treated as they are equal. 

To find the mean correctly, we would have to find weight the value of each state according to the number of people in the state.
5 0
2 years ago
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Tju [1.3M]
5 squared is 25. 25+4. Answer is 29
5 0
3 years ago
Read 2 more answers
The median player salary for the Dallas Cowboys was $348,000 in 2004 and $555,000 in 2013.
Yakvenalex [24]

Answer:

Y =23,000X  -4,5744,000

in 2019 = $693,000

Step-by-step explanation:

x1 y1  x2 y2

2004 348000  2013 555000

   

(Y2-Y1) (555000)-(348000)=   207000  ΔY 207000

(X2-X1) (2013)-(2004)=    9  ΔX 9

   

slope= 23000          

B= -45744000          

   

Y =23000X  -45744000    

7 0
3 years ago
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