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fredd [130]
3 years ago
10

(0,5) (-5,1) write an equation for the line that passes through the given points.

Mathematics
1 answer:
solniwko [45]3 years ago
4 0
We know the y-intercept is (0,5).
So we can say from the linear formula y = mx+b
b is 5.
we also have (-5,1) which can be subbed in the formula.
Thus, we will have an equation solving for m.
1 = m(-5)+5
-4 = m(-5)
4/5 = m
Therefore, y = 4/5x + 5
To check sub -5 into the x and see if up you get a 1. If you do it’s correct.

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Using the uniform distribution, it is found that the mathematical expression for the probability density function of battery recharging time for this scenario is given by:

f(x) = \frac{1}{40}, 70 \leq x \leq 110

f(x) = 0, elsewhere.

<h3>What is the uniform probability distribution?</h3>

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability density function is:

f(x) = \frac{1}{b - a}, a \leq x \leq b

f(x) = 0, elsewhere.

In this problem, the actual recharging time required is uniformly distributed between 70 and 110 minutes, hence a = 70, b = 110, and the density function is:

f(x) = \frac{1}{40}, 70 \leq x \leq 110

f(x) = 0, elsewhere.

More can be learned about the uniform distribution at brainly.com/question/13889040

6 0
2 years ago
The highest score on an algebra test was 42 points more than the lowest. When added together, the lowest and highest score was 1
dlinn [17]

Let us assume lowest score is = x.

We are given "The highest score on an algebra test was 42 points more than the lowest."

We took x for lowest score.

So, we need to write an expression for highest score in terms of x.

Therefore, the expression for highest score is = 42 more than x = x+42.

Is is also given that sum of both scores is 154.

We can setup and equation by using above statement.

Lowest score + Highest score = Total scrore.

x + x + 42 = 154.

Adding x and x we get 2x.

Therefore,

2x + 42 =154.

Subtracting 42 from both sides, we get

2x + 42-42 =154-42

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Dividing both sides by 2, we get

2x/2 = 112/2

x = 56.

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The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

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The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
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