Answer:
(-1,10)
Step-by-step explanation:
At the point when the paths cross, the respective x and y values of each equation will be equal.
Your path is y=2x+12, and your friends path is 4x+y=6. Sub 2x+12 in for y (from your path's equation) into your friends equation to find the value of x:
4x+2x+12=6
6x=-6
x=-1
y=2x+12
y=2(-1)+12=10
So you will cross paths at (-1,10)
Answer: See explanation
Step-by-step explanation:
Let the cost for insuring the applicant = a.
Let the cost for insuring the spouse = b
Let the cost for insuring the first child= c
Let the cost for insuring the second child = d
A 35-year-old health insurance plan and that of his or her spouse costs $301 per month. This means that:
a + b = $301.
That rate increased to $430 per month if a child were included. This means the cost of a child will be:
= $430 - $301
= $129
The rate increased to $538 per month if two children were included. This means the cost for the second child will be:
= $538 - $430
= $108
The rate dropped to $269 per month for just the applicant and one child. His will be the cost of the applicant and a single child. This can be written as:
a + $129 = $269
a = $269 - $129
a = $140
Since a + b = $301
$140 + b = $301
b = $301 - $140
b = $161
Applicant = $140
The spouse = $161
The first child = $129
The second child = $108
Basically solve for y
minus 5x fromboth sides
-15y=-5x-60
divide both sides by -15
y=1/3x+4
Answer:
The probability is 0.31
Step-by-step explanation:
In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.
Firstly, we calculate the standard score of $86 using the mean and the standard deviation.
Mathematically;
z-score = (x-mean)/SD
where x = 86, mean = 84 and SD = 4
z-score = (86-84)/4 = 2/4 = 0.5
Hence, we want to calculate P(z ≥ 0.5)
Using standard table
P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854
To the nearest hundredth = 0.31
Wouldn't the ratio from length to width be 8?
