Answer:
The 90% confidence interval for the population standard deviation waiting time for an oil change is (3.9, 6.3).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population standard deviation is:

The information provided is:
<em>n</em> = 26
<em>s</em> = 4.8 minutes
Confidence level = 90%
Compute the critical values of Chi-square as follows:


*Use a Chi-square table.
Compute the 90% confidence interval for the population standard deviation waiting time for an oil change as follows:


Thus, the 90% confidence interval for the population standard deviation waiting time for an oil change is (3.9, 6.3).
Answer:
A cos C = 12/13
Step-by-step explanation:
cos theta = adjacent side/ hypotenuse
cos C = BC/AC
But we don't know BC, but we can find it using the Pythagorean theorem
a^2 +b^2 = c^2
5^2 +BC^2 = 13^2
25 + BC ^2 =169
Subtract 25 from each side
BC^2 = 169-25
BC ^2 = 144
Taking the square root of each side
BC =12
cos C = 12/13
Answer:
Therefore Marcus is incorrect.
Step-by-step explanation:
Total ticket that Marcus bought= 100%.
Marcus used 50% of ticket on rides.
and he used
of the tickets on the video games.
The percentage form of any number x is

The percentage form of
is

=25%
Therefore rest tickets are
=Total ticket-( ticket used in rides + ticket used in video games)
=100% - (50%+25%)
=100% - 75%
=25%
Therefore he used 25% of tickets in batting cage.
But he said that Marcus said that he used 24% of ticket in batting cage.
Therefore Marcus is incorrect.
Answer:
1/16
Step-by-step explanation:
-1/4*-1/4
= -*- = +
= 1/4*1/4
=1/16
Answer:
28 units^2
Step-by-step explanation:
1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).
2. Next, we should know the area formulas of the square and trapezoid.
- Square:
, where s = side
, where a and b = top and bottom and h = height
3. Solving Area of Square and Trapezoid
. Area of square is 16
. Area of trapezoid is 12.- 16 + 12 = 28
Therefore, the area of the figure is 28 units^2.