Answer:
Step-by-step explanation:
Given
Required
Determine the value of k
First, we need to determine the equation of g(x)
Start by calculating the slope (m)
Where x and y are two corresponding values:
The slope (m) is:
The equation is calculated using:
Where
and
Make y the subject of formula
So:
Next, we determine the equation of f(x)
Start by calculating the slope (m)
Where x and y are two corresponding values:
The slope (m) is:
The equation is calculated using:
Where
and
Make y the subject of formula
So:
Recall that
Make k the subject
Substitute values for g(x) and f(x)
Answer:
93
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Answer:
He has:
20 quarters : 0.25x20= 5.00
16 dimes: 0.10x 16 = 1.60
20+ 16= 36 coins
5.00 + 1.60 = $6.60
Answer:
and we can find this probability using the complement rule and we got:
So then we can conclude that approximately 8.38% of the men are taller than women
Step-by-step explanation:
Let X the random variable who represent the heights of women aged 20 to 29 and the distribution is given by:
And let Y the heights of men aged 20 to 29 and the distribution for Y is given by:
And for this case we want to find the following probability:
The distribution for Y-X is given by:
We can define the random variable Z= Y-X and the we can use the z score formula given by:
And using the z score formula we got:
and we can find this probability using the complement rule and we got:
So then we can conclude that approximately 8.38% of the men are taller than women