Find the ordered pair solution of y = (2/5)x + 2 corresponding to -5
1 answer:
The ordered pair solution of y = (2/5)x + 2 corresponding to -5 is (x, y) = (-5, 0)
<em><u>Solution:</u></em>
Given that we have to find the ordered pair solution of corresponding to -5
Let us find the ordered pair corresponding x = -5
Ordered pairs are often used to represent two variables
The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate
Substitute x = - 5 into the function and evaluate for y
Therefore the ordered pair is x = -5 and y = 0 which is (x, y) = (-5, 0)
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Answer:
The beam will bend by 50 mm with a mass of 100kg?
Step-by-step explanation:
The first step in solving the problem of direct variation is setting up the relation mathematically.
We can do this as follows:
The bending of the beam varies directly as its mass.
here is the symbol representing direct variation. To remove this and replace it with an equality sign, we have to introduce a constant of proportionality, k
k = 20 /40 = 0.5
We can now use this to find the distance the beam will bend with a mass of 100kg?
This will be
There fore, the beam will bend by 50 mm with a mass of 100kg?
Answer:
The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.
Step-by-step explanation:
Let the random variable <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.
The random variable <em>X</em> is exponentially distributed with mean 7 minutes.
Then the parameter of the distribution is,.
The probability density function of <em>X</em> is:
Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:
Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.