Hi!
To solve this, we must make an equation in y = mx + b form, where m is the slope and b is the y-intercept.
Since we are looking at a graph with points, it saves us a TON of work, and all we have to do is simply look at the graph. We only need to find m and b, that's it!
M is the slope, and the slope can be represented by the change between points on a line, also known as <em>rise/run. </em>
If we start at point (-4, -1), and go to point (-2, 0), we can see that it goes up 1 and right 2, which would be represented as 1/2.
B is the y-intercept, and that is simply the point that is on the y-axis, which is the point (0, 1), so our number would be 1.
Therefore, plugging these numbers into the equation, our equation is y = <em>1/2</em>x + <em>1</em>
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Hope this helps! :D
Answer:

Step-by-step explanation:
(This exercise is presented in Spanish and for that reason explanation will be held in such language)
El lado restante se determina por la Ley del Coseno:



Finalmente, el angulo C se halla por medio de la misma ley:




4x+y=5 or b is the correct answer:) Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Answer:
−
2
√
3
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer: a. P (x<30) = 0.5276
b. P (30<x<35) = 0.0555
Step-by-step explanation: An <u>exponential</u> <u>distribution</u> is a distribution of time in which events happens at a constant average rate.
The rate is calculated as

with μ as the mean.
The probability density distribution for this type of distribution is

And probability is calculated as

For tuning of an engine, the rate is

λ = 0.025
a. Probability of less than 30 minutes:


P (X < 30) = 0.5276
<u>Probability of tuning in 30 minutes or less is </u><u>52.76%</u><u>.</u>
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b. Probability of between 30 and 35 can be described as



P (X < 35) = 0.5831
P (X < 30) = 0.5276
Then:

P (30 < X < 35) = 0.0555
<u>Probability of tuning an engine between 30 and 35 minutes is </u><u>5.55%.</u>
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