The number of ducks to geese in Miller's Pond last year was 2:3. This year the ratio of ducks to geese is 5:9. The number of gee
1 answer:
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Answer:
a)
b)
Step-by-step explanation:
1) Data given and notation
n=900 represent the random sample taken
X=372 represent the students were pursuing liberal arts degrees
estimated proportion of students were pursuing liberal arts degrees
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
p= population proportion of students were pursuing liberal arts degrees
2) Solution to the problem
The confidence interval would be given by this formula
For the 99% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
The margin of error is given by:
If we replace we have:
And replacing into the confidence interval formula we got:
And the 99% confidence interval would be given (0.371;0.455).
We are confident (99%) that about 37.1% to 45.5% of students were pursuing liberal arts degrees.
Answer:
The required system of equations is,
.
Step-by-step explanation:
Let the number of hours spent by Lucy = x
It is given that,
Local zoo charges initial fee $25 and per hour fee $1.
So, the equation representing the cost if Lucy stays 'x' hours is,
in dollars.
Also, Local citcus charges initial fee $20 and per hour fee $2.
So, the equation representing the cost if Lucy stays 'x' hours is,
in dollars.
Since, the objective function for the situation is to 'minimize the cost'.
So, upon solving the equations, we will get the minimum value as,
25+x = 20+2x
i.e. x= 5
Thus,
implies
i.e. y= $30
implies
i.e.
i.e. y= $30
Thus, the minimum value is $30.
The required system of equations is,
.
Answer:
The correct option is;
Yes, the line should be perpendicular to one of the rectangular faces
Step-by-step explanation:
The given information are;
A triangular prism lying on a rectangular base and a line drawn along the slant height
A perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross section will be congruent to the triangular faces
Therefore Marco is correct and the correct option is yes, the line should be perpendicular to one of the rectangular faces (the face the prism is lying on).
