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Liono4ka [1.6K]
2 years ago
11

Given that slope = -1 and a point (3,-1), write an equation in slope-

Mathematics
1 answer:
stealth61 [152]2 years ago
4 0
Y=Mx+b

Slope/M= -1
X= 3
Y= -1

-1 = -1(3)+b

-1 = -3 + b

Add +3 to -3 and -1 to cancel -3 out to get (b)

-3+3 = 0 cancel it

-1 +3 = 2

So, b = 2

In an equation it will be written as

y= -1x + 2

In standard form it will be

1x + y = 2

But your official answer will be

B= 2
Y= -1x+2
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It is estimated that the population of the world is increasing at an average rate of 1.09%. The population was about 7,632,819,3
morpeh [17]

Answer:

The equation that represents the population after T years is

P_{t}  = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}

Step-by-step explanation:

Population in the year 2018 ( P )= 7,632,819,325

Rate of increase R = 1.09 %

The population after T years is given by the formula

P_{t}  = P [1 +\frac{R}{100} ]^{T} -------- (1)

Where P = population in 2018

R = rate of increase

T = time  period

Put the values of P & R in above equation we get

P_{t}  = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}

This is the equation that represents the population after T years.

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Which expressions are equivalent when m=1 and m=4? (picture attached)
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A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 6t, where t represents t
alukav5142 [94]
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he probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034
garri49 [273]

Answer:

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

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 combinations 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.

The probability that the San Jose Sharks will win any given game is 0.3694.

This means that p = 0.3694

An upcoming monthly schedule contains 12 games.

This means that n = 12

What is the probability that the San Jose Sharks win 9 games in the upcoming month?

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

P(X = 9) = C_{12,9}.(0.3694)^{9}.(0.6306)^{3} = 0.0071

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

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