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polet [3.4K]
3 years ago
6

Write an equation in point slope form of the line that passes through the point -4, 5 and has the slope of one.

Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

y - 5 = x + 4

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line

Plug in the given point and slope:

y - y1 = m(x - x1)

y - 5 = 1(x + 4)

Simplify:

y - 5 = x + 4

So, the point slope form of the line is y - 5 = x + 4

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I found it quicker than i thought i would! the positive x-intercept is (4,0). negative x intercept is (-\frac{1}{3},0)
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What number are 1.3 units from 0.4 on a number line
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Identify which statement about the mean of a discrete random variable is not true or state that they are all true.Choose the cor
pashok25 [27]

Answer:

A, C are true .  B is not true.

Step-by-step explanation:

Mean of a discrete random variable can be interpreted as the average outcome if the experiment is repeated many times. Expected value or average of the distribution is analogous to mean of the distribution.

The mean can be found using summation from nothing to nothing x times Upper P (x) , i.e ∑x•P(x).

Example : If two outcomes 100 & 50 occur with probabilities 0.5 each. Expected value (Average) (Mean) : ∑x•P(x) = (0.5)(100) + (0.5)(50) = 50 + 25 = 75

The mean may not be a possible value of the random variable.

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3 years ago
In this problem we will be dealing with the probability density function (pdf) associated with a continuous random variable, X.
konstantin123 [22]

Answer:

b)\ 0.568

Step-by-step explanation:

Given

f(x) = 6x(1- x);\ 0 \le x \le 1

Required

P(0.3 < x < 0.7)

From the question, we have:

P(a < x < b) = \int\limits^b_a {f(x)} \, dx

So, we have:

P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x(1 - x)} \, dx

Open bracket

P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x - 6x^2} \, dx

Integrate

P(0.3 < x < 0.7) =  \frac{6x^2}{2} - \frac{6x^3}{3}}|\limits^{0.7}_{0.3}

P(0.3 < x < 0.7) =  3x^2 - 2x^3|\limits^{0.7}_{0.3}

Substitute 0.7 and 0.3 for x

P(0.3 < x < 0.7) =  (3*0.7^2 - 2*0.7^3) - (3*0.3^2 - 2*0.3^3)

Using a calculator, we have:

P(0.3 < x < 0.7) =  (0.784) - (0.216)

Remove brackets

P(0.3 < x < 0.7) =  0.784 - 0.216

P(0.3 < x < 0.7) =  0.568

3 0
3 years ago
What are the six regions of the united states
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Answer:

New England.

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The South.

Mid-West.

The Southwest.

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Step-by-step explanation:

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