Answer:
The coordinates of the point on a circle with radius 4 at an angle of 
radians are x = -2 and y = 3.464.
Step-by-step explanation:
This problem ask us to determine the rectangular coordinates from polar coordinates. The polar coordinates of the point in rectangular form is expressed by the following expression:
Where 
and 
are the radius of the circle and the angle of inclination of the point with respect to horizontal, measured in radians. If 
and 
, the coordinates of the point are:
The coordinates of the point on a circle with radius 4 at an angle of radians are x = -2 and y = 3.464.
Answer:
x = - 80
Step-by-step explanation:
Given
- 6 = 
+ 4 ( subtract 4 from both sides )
- 10 = ( multiply both sides by 8 )
- 80 = x
Answer:
The critical value for this hypothesis test is 6.571.
Step-by-step explanation:
In this case the professor wants to determine whether the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes.
Then the variance will be, 
The hypothesis to determine whether the population variance is less than 25.0 minutes or not, is:
<em>H</em>₀: The population variance is not less than 25.0 minutes, i.e. <em>σ²</em> = 25.
<em>Hₐ</em>: The population variance is less than 25.0 minutes, i.e. <em>σ²</em> < 25.
The test statistics is:
The decision rule is:
If the calculated value of the test statistic is less than the critical value, 
then the null hypothesis will be rejected.
Compute the critical value as follows:
*Use a chi-square table.
Thus, the critical value for this hypothesis test is 6.571.
Answer:
<h2>
15%</h2><h2>
</h2>
Step-by-step explanation:
this week sold = $2,760
last week sold = $2,400
the difference from this week to last week = 2700-2400 = 360
that means it increased : 360 / 2400 = 0.15 (100%) = 15%
therefore, the increase of sale is 15%
