So the question is the original price was $791 and they bought it at the marked down price at $474.60? then they saved $316.40 but i’m not really sure if that’s the question lol
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Answer: B) 47%</h3>
Work Shown:
A = event that the person has math degree
B = event that the person has a computer science degree
P(A) = 0.23, since 23% of the people have a math degree
P(B) = 0.31, similar reasoning as above, just different number
P(A and B) = 0.07
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.23 + 0.31 - 0.07
P(A or B) = 0.47
The decimal value 0.47 then converts to 47% after moving the decimal 2 spots to the right.
There's a 47% chance that we pick someone who has a math degree or a computer science degree (or both).
It might help to set up a venn diagram to see why that formula above works.
Answer:

Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

So rewriting both equations using the tangents values, we have that:


From the first equation, we have that:

Using this value of x in the second equation, we have that:





Answer:
1) 506.85 minutes
2) 17.33 minutes
3) 23.25 hours
Step-by-step explanation:
1) 16 minutes and 21 seconds

16 minutes and 21 seconds=16.35 minutes
Multiply by 31

2) 537 minutes 20 seconds

537 minutes 20 seconds=537.33 minutes
Divide by 31

3) 999 hours 45 minutes

999 hours 45 minutes=999.75 hours
