Answer:

Step-by-step explanation:
Given



Required
Determine the measure of side XY
To do this, we make use of sine law. This is as follows:

In this case:

Cross Multiply


Make XY the subject



-- <em>approximated</em>
Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 90% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.645.
The sample size and the estimate are given by:

Hence, the bounds of the interval are given by:


The 90% confidence interval is given by: (0.6350, 0.6984).
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1
Then, he would take = $850/94 = 9.04
atleast 9.04 weeks for repaying that.......
Answer:
0.5* sin(x)
Step-by-step explanation:
As well known sin (2A)= 2sin(A)*cos(A)
As in our case A=x/2 => cos(x/2*sin(x/2)=1/2*sin(x)=0.5*sin(x)
<u>ANSWER</u>
The line that is parallel to
through
is
.
<u>EXPLANATION</u>
The equation that is parallel to the line
has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
,this line has slope
.
Hence the line parallel to this line also has slope
.
Let
be the equation of the line parallel to the line

We can substitute
to obtain;

If the line passes through the point
,then this point must satisfy its equation.
We substitute
and
to obtain;

We this equation for
.



We substitute this value of
in to
to get;
.
Hence the equation of the line that is parallel to
through
is
.