Answer:
y = 1/3x + 7
Step-by-step explanation:
Perpendicular slope is opposite reciprocal so it will be 1/3
Use the slope and point given and plug into y = mx + b
4 = 1/3 (-9) + b
4 = -3 + b
7 = b
write new equation with new b and m
y = 1/3x + 7
The function is given as,
In order to determine the inverse of the function, first, we need to switch the variables 'x' and 'y' in the given equation. And then transform the equation to obtain the form y=f(x).
After switching the variables, the equation becomes,
Now, convert the equation in the form y=f(x) by transposing the terms.
Add 8 on both sides,
Multiply the equation by 4/3 as follows,
Cross multiply the terms,
Now that the function is converted into the desired form, it can be concluded that the inverse is obtained.
Therefore, the required inverse function is obtained as,
Answer:
Probability that in a random sample of six cities, the sample mean would be more than 40 is 0.3372.
Step-by-step explanation:
We are given that the percent of births to mothers with less than a college education in all of the most populated cities in the U.S. has an average of 39.3 with a standard deviation of 4.1.
Assuming the data follows distribution. Also, a random sample of six cities is selected.
<em>Firstly, Let </em><em> = sample mean of six cities</em>
The z score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = average percent of births = 39.3
= standard deviation = 4.1
n = sample of cities = 6
Probability that in a random sample of six cities, the sample mean would be more than 40 is given by = P( > 40)
P( > 40) = P( > ) = P(Z > 0.42) = 1 - P(Z 0.42)
= 1 - 0.66276 = 0.3372
Therefore, probability that the sample mean would be more than 40 is 0.3372.