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blondinia [14]
2 years ago
5

Identify the slope and y-intercept of the graph

Mathematics
2 answers:
olchik [2.2K]2 years ago
6 0
The answer to your question is just use Desmos
Anna11 [10]2 years ago
5 0
Answer: y = 5/4x - 1 , Slope = 5/4 , y-intercept = -1


STEPS:

Use y1-y2/x1-x2 to find the slope

-1-4/0-4

= -5/-4

= 5/4 because negative divided by negative is positive


Next, use y-y1=m(x-x1) to find y-intercept


y-4=5/4(x-4)

y-4=5/4x-5

y=5/4x-1

So the y-intercept is -1
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Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93
Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

M = \frac{a + b}{2}

The standard deviation of the uniform distribution is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution between 2.93 and 3.1 volts

This means that a = 2.93, b = 3.1. So

Mean:

M = \frac{2.93 + 3.1}{2} = 3.015

Standard deviation:

S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049

What is the probability that a battery has a voltage less than 2.98?

P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

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