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Vinvika [58]
3 years ago
11

Which equation represents the line that passes through the points (4, 6) and (-2, -1)?

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:

y = 7/6x + 4/3

Step-by-step explanation:

find slope first

change in y over the change in x

-1-6/-2-4 = -7/-6 = 7/6

to be extra sure use this formula to find the y-intercept or b

y - 6 = 7/6 (x -4)

you can plug in either point

solve for y and you have the equation in slope intercept form or y=mx+b

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Step-by-step explanation:

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3 years ago
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At what rate of simple interest will ₹4400 amount to ₹5610 in 5 years 6 months​
Ilia_Sergeevich [38]

Answer:

0.05 or 5%

Step-by-step explanation:

The formula for simple interest is as follows:

A = P(1+rt), with A representing the final amount, P representing the initial amount, r being the rate, and t being time. Plugging our values in, we have

5610 = 4400(1+5.5r). We know that 5 years and 6 months is 5.5 because 6 months = 0.5 years

5610 = 4400(1+5.5r)

expand

5610 = 4400 + 24200r

subtract 4400 from both sides to isolate the variable and its coefficient

1210 = 24200r

divide both sides by 24200 to isolate the variable

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4 0
3 years ago
The probability that a car will have a flat tire while driving through a certain tunnel is 0.00005. Use the Poisson distribution
timama [110]

Answer: D. 0.1217

Step-by-step explanation:

Given : The probability that a car will have a flat tire while driving through a certain tunnel :p=0.00005.

n= 14000

Then, the mean number of cars will have a flat tire while driving through a certain tunnel = np

=14000\times0.00005=0.7

Poisson Distribution Formula : P(x)=\dfrac{e^{-\lambda} \lambda^x}{x!}

For x= 2

P(2)=\dfrac{e^{-0.7} (0.7)^2}{2!}=0.121663399429\approx0.1217

Hence, the required probability = 0.1217

5 0
4 years ago
one eighth of the brass instruments are tubas. if there are 240 instruments in the band, how many are tubas?
Andrej [43]
Just do 240 times 1/8 which is the same thing as 240/8, which is 30
6 0
3 years ago
1. All of the letters in the alphabet are randomly
Alex
The probability of selecting a vowel from the English alphabet is 5/26 (≈19.2%) if you include only A, E, I, O, and U as vowels
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3 years ago
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