Answer:
b = 30
Step-by-step explanation:
The sum of the 2 angles above the line will equal the angle below the line
3b + b - 15 = 2b + 45
4b - 15 = 2b + 45 ( subtract 2b from both sides )
2b - 15 = 45 ( add 15 to both sides )
2b = 60 ( divide both sides by 2 )
b = 30
Answer:
10 buses are needed.
9 buses will only be able to take 468 people.
Explanation:
There are 461 + 20 = 481 people altogether needing transport. Each bus can take at most 52 people. The number of buses needed =
482 ÷ 52.
482 ÷ 52 = 9.25 buses. You might be tempted to round down to 9 buses (because of the 2 that follows the decimal) However, if there are 9 buses,
9 × 52 = 468 people can be taken There will still be
13 people to be transported. This is an example of where you need to round UP to the next whole number.
10 buses are needed. In reality it means that not all the buses will be full, but 10 buses are needed to ensure that everyone gets a ride to the museum.
Answer: P12* = 0.0164 or 1.64%
Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%
Step-by-step explanation:
Given;
The quarterback's pass accuracy P= 29% = 0.29
The probability of not completing a particular pass P*
= 1 - 0.29 = 0.71
the probability that it takes more than 12 attempts before he completes a pass implies that the quarterback will not complete his first 12 pass attempts.
The probability that he will not complete the first 12 pass
P12* = (P*)^12
P12* = (0.71) ^12
P12* = 0.0164 or 1.64%
Therefore, the probability that it takes more than 12 attempts before he completes a pass is 0.0164 or 1.64%
