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3 years ago

Okmarks

Mathematics

1 answer:

joja [24]3 years ago

8 0

Answer:

x = - 1

y = -3

Step-by-step explanation:

4x - 5y = 11

-4x + y = 1 +

----------------------

-4y = 12

y = -3

Now, plug y = -3 back into any equation

-4x - 3 = 1

-4x = 4

x = - 1

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Find the slope passing through the points (-3,4) and (2,-1).

stellarik [79]

1)

Given two points: (x₁,y₁) and (x₂,y₂) the slope of the line passing through these points would be:
m=(y₂-y₁)/(x₂-x₁)

Data:
We have two points, (-3,4) and (2,-1), therefore, the slope of the line passing through these points will be:

m=(-1-4) /(2+3)=-5/5=-1

Answer: The slope would be -1.

2)
slope-intercept form of a line:
y=mx+b
m=slope
b=y-intercept

Therefore:
m=2
b=y-intercept=-4

The line would be: y=2x-4

answer: the equation of this line would be: y=2x-4

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3 years ago

Durant and Westbrook are playing a three-point challenge game to improve long distance shooting. Each time each of them makes a

muminat

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3 years ago

The amount of time workers spend commuting to their jobs each day in a large metropolitan city has a mean of 70 minutes and a st

Xelga [282]

Answer:

81.85% of the workers spend between 50 and 110 commuting to work

Step-by-step explanation:

We can assume that the distribution is Normal (or approximately Normal) because we know that it is symmetric and mound-shaped.

We call X the time spend from one worker; X has distribution N(μ = 70, σ = 20). In order to make computations, we take W, the standarization of X, whose distribution is N(0,1)

$W = \frac{X-μ}{σ} = \frac{X-70}{20}$

The values of the cummulative distribution function of the standard normal, which we denote $\phi$ , are tabulated. You can find those values in the attached file.

$P(50 < X < 110) = P(\frac{50-70}{20} < \frac{X-70}{20} < \frac{110-70}{20}) = P(-1 < W < 2) = \\\phi(2) - \phi(-1)$

Using the symmetry of the Normal density function, we have that $\phi(-1) = 1-\phi(1)$ . Hece,

$P(50 < X < 110) = \phi(2) - \phi(-1) = \phi(2) - (1-\phi(1)) = \phi(2) + \phi(1) - 1 = \\0.9772+0.8413-1 = 0.8185$

The probability for a worker to spend that time commuting is 0.8185. We conclude that 81.85% of the workers spend between 50 and 110 commuting to work.

Download pdf

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3 years ago

If 2x+7=12, find the value of 2x+10

Tju [1.3M]

Answer:

x = 5

Step-by-step explanation:

divide both sides by 2

4 0

4 years ago

Read 2 more answers