Answer: (141.1, 156.48)
Step-by-step explanation:
Given sample statistics : 
a) We know that the best point estimate of the population mean is the sample mean.
Therefore, the best point estimate of the mean weight of all women = 
b) The confidence interval for the population mean is given by :-
, where E is the margin of error.
Formula for Margin of error :-
Given : Significance level : 
Critical value : 
Margin of error : 
Now, the 90% confidence interval for the population mean will be :-
Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)
The measure of the angle created by the car's turning is 105°
Step-by-step explanation:
Given : a car is traveling east on 4th Street and turns onto King Avenue heading northeast.
We have to calculate the measure of the angle created by the car's turning.
Since, car is travelling in east direction on 4th street that is from A to D as shown below in image by arrow.
Then at point B, the car turns toward King Avenue heading northeast. that is B to C as shown below in image
Since, we need to calculate the measure of the angle created by the car's turning that is measure of ∠ABC.
AD is a straight line, thus measure of any angle at line segment AD is 180° as angles on one side of a straight line always add to 180 degrees
Therefore, at B,
∠ABC + ∠CBD = 180°
Aldo given , ∠CBD = 75°
Thus, the measure of ∠ABC is ,
⇒ ∠ABC = 180° -∠CBD
⇒ ∠ABC = 180° - 75°
⇒ ∠ABC = 105°
Thus, the measure of the angle created by the car's turning is 105°
1/9 • 5/4 = 1/9 • 1 1/4 = 11/36. Hoped I helped!
16.79+28.49=45.28
50-45.28=4.72
Kelly would get $4.75 back
Answer:
Step-by-step explanation:
The focus of the parabola is (0,9)
and the directrix is y=-9.
The equation of this parabola is given by:
The vertex of this parabola is at the origin.
The value of p is the distance from the vertex to the focus.
p=9-0=9
The equation of the parabola is
Or
