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Fed [463]
2 years ago
7

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an

d Helena claims that point-slope form will find the equation. Who is correct?
Mathematics
1 answer:
Nikitich [7]2 years ago
8 0

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

y - y'= \frac{y''-y'}{x''-x'}\times (x-x')

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

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2 years ago
On a Sunday night, there are four people on a bus. The bus has five stops left before it end sits route. Suppose each person wil
allochka39001 [22]

There are two possible outcomes of this experiment either success p or failure q. It has a given number of trials and all trials are independent therefore it is<u><em> binomial probability distribution.</em></u>

1-  5 ways

2- 5/16

3- 1/16

4- 1/16

In the question given above n= 5 p =1/2 q= 1/2  r is the given point.

  1. <u>Part 1:</u>

The number of ways in which different people get off the bus can be calculated using combinations since the order is not essential. Therefore

nCr= 5C4= 5 ways

<u>2. Part 2:</u>

The probability that all four people get off the bus on the first stop is given by :

P (x= 1)= 5C1 (1/2)^0(1/2)^4= 5(1/2)^4= 5/16

<u>3. Part 3:-</u> The probability that all four people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^0(1/2)^4= 1(1/2)^4= 1/16

<u>4. Part 4-</u> The probability that <u><em>exactly three of the four</em></u> people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^3(1/2)^1= 1(1/2)^4= 1/16

For binomial distribution click

brainly.com/question/15246027

brainly.com/question/13542338

3 0
2 years ago
An angle measures 38° more than the measure of its complementary angle. What is the measure of each angle?
seropon [69]
Answer: 38° and 52°

Steps:
x + 38° = 90°
x = 90° - 38°
x = 52°

90° - 52° = 38°
6 0
3 years ago
The CONIC SECTIONS get this name from the fact that they are formed by the intersection of a cone and a A) plane. B) sphere. C)
Tema [17]
It is a cylinder.........
3 0
3 years ago
Read 2 more answers
Permutations of the word "Congratulations"​
Mice21 [21]

Answer:

There are 15 letters, but if the two A's must always be together, that's the same as if they're just one letter, so our "base count" is  14! ; note that this way of counting means that we also don't need to worry about compensating for "double counting" identical permutations due to transposition of those A's, because we don't "count" both transpositions. However, that counting does "double count" equivalent permutations due to having two O's, two N's, and two T's, so we do need to compensate for that. Therefore the final answer is  14!/(23)=10,897,286,400

5 0
2 years ago
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