Answer:
y-4=-7(x-1) OR y-(-10)=-7(x-3)
Step-by-step explanation: The point-slope form is
-
=
(
-
)
In slope-intercept form, the equation would be y = -7x + 11
You could find the slope by using the slope equation,
.
Using that, you would get -7. Thus by inserting one of the points and the slope in the point-slope equation, you will get your answer.
Using a system of equations, it is found that the three consecutive even integers are -8, -6 and -4.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the three consecutive even integers are represented by:
n, n + 2, n + 4
The first integer is two times the third, hence:
n = 2(n + 4)
2n + 8 = n
n = -8
Thus:
n = -8
n + 2 = -8 + 2 = -6
n + 4 = -8 + 4 = -4
The integers are -8, -6 and -4.
To learn more about system of equations, you can take a look at brainly.com/question/26650649
Answer:
The parameters of this exponential distribution is
=
.
Step-by-step explanation:
We are given that the random variable X is known to be exponentially distributed and let X be the time it takes for a person to choose a birthday gift, where X has an average value of 27 minutes.
<u><em>So, X = time it takes for a person to choose a birthday gift</em></u>
The probability distribution function of exponential distribution is given by;
where,
= parameter of distribution.
Now, the mean of exponential distribution is =
which is given to us as average value of 27 minutes that means
.
So, X ~ Exp(
) .
Therefore, the parameter of this exponential distribution is
.