Answer:
, x>=0
Step-by-step explanation:
To find the inverse function , replace f(x) by y
Replace x with y and y with x
Solve the equation for y
take square root on both sides
Now subtract 6 from both sides
replace y with g(x)
Answer:
dr. potter provides 54 vaccinations TOTAL (including both measles and polio).
p+m=54
since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.
4p+2m=142
p+m=54
4p+2m=142
^^system of equation
p+m=54
4p+2m=142
p=54-m
4p+2m=142
(substitute 54-m to the equation)
4(54-m)+2m=142
m=37
(collect like terms, then substitute the value of m into the first equation)
p=54-37
p=17
(m, p)=(37, 17)
Step-by-step explanation:
i hope this helps, sorry for the wait
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
Answer:
The sampling distribution of x is N(118, 2.5).
Step-by-step explanation:
We have that:
The mean of the population is 
The standard deviation of the population is 
.
(a) Choose an SRS of 100 men from this population. What is the sampling distribution of x? (Use the units of mg/dL.)
The mean of the sampling distribution is the same as the mean of the population.
The standard deviation of the sampling distribution is the standard deviation of the population divided by the square root of the sample size. So
This means that the sampling distribution of x is N(118, 2.5).
