<span>Pneumonoultramicroscopicsilicovolcanoconiosis has 45 letters.</span>
Answer:
∠ ABC = 22°
Step-by-step explanation:
OA = OB ( radii of circle )
Then Δ OAB is isosceles with base angles congruent , that is
∠ OBA = ∠ OAB = 17x
The sum of the 3 angles in the triangle sum to 180°
17x + 17x + 11x = 180
45x = 180 ( divide both sides by 45 )
x = 4
Then
∠ OBA = 17x = 17(4) = 68°
BC is a tangent so ∠ OBC = 90°
∠ ABC = 90° - ∠ OBA = 90° - 68° = 22°
Answer:
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.
Step-by-step explanation:
Given that:
Part A:
Original price of video game = $32.99
Discounted price = $26.39
Amount of discount = 32.99 - 26.39 = $6.60
Discount percent = 
Discount percent = 
Discount percent = 20%
Part B:
Sales tax = 8% of discounted price
Amount of sales tax = 
Amount of sales tax = $2.11
Total amount = $26.39 + $ 2.11 = $28.50
Hence,
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.
Answer:
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)
Step-by-step explanation:
Our sample size is 11.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level
and divide by 2. So:

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have 
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

Now, we multiply T and s
cm
For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is
cm
So
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).
<u>Answer:</u>
The correct answer option is B. c = 25 + 2m.
<u>Step-by-step explanation:</u>
We are given that a movie rental club charges a one time fee of $25 to join and $2 for every movie rented.
We are to determine whether which of the given equations in the answer options represent how much you would spend to join the club and rent movies for a year.
The correct answer option is B. c = 25 + 2m.
One time charges = 25 plus $2 multiplied by the number of movies rented.