The sum of all angles in a triangle is 180.
AngleA+AngleB+AngleC=180
20+40+AngleC=180
AngleC=120
Answer:
d. H0 : pˆ = .6, Ha: pˆ > .6
Step-by-step explanation:
Given that a minister claims that more than 60% of the adult population attends a religious service at least once a month.
Here the subject of interest about a proportion of adult population who attends a religious service at least once a month.
The claim is this proportion is greater than 60% and we want to check whether this claim is true.
Hence hypotheses would be for proportion only and not mean.
Since population proportion is to be checked we use p hat
Correct answer is
d. H0 : pˆ = .6, Ha: pˆ > .6
Answer:
The probability that a randomly selected boy in secondary school can run the mile in less than 302 seconds is 0.0107
Step-by-step explanation:
Consider the provided information.
It is given that mean is 440 seconds and standard deviation is 60 seconds.
z factor for less than 302 seconds would be: 
z = (302 - 440) / 60 = -2.3
The probability of getting a z factor of less than -2.3 = 0.0107 approximately.
looking up in the z-table for a z factor of -2.3.
The probability of a student running the mile in less then 302 seconds would be 0.0107.
Hence, the probability that a randomly selected boy in secondary school can run the mile in less than 302 seconds is 0.0107
Answer:
The equation that represents this situation is 2c² - 5c - 322 = 0
Step-by-step explanation:
∵ Kenan has c clients
∵ Jeff has five less than twice the number of clients that
Kenan has
- That means multiply c by 2 and then subtract 5 from the
product to find the number of Jeff's clients
∴ Jeff's clients = 2c - 5
∵ The product of the number of clients they have is 322
∴ c × (2c - 5) = 322
- Multiply c by the bracket (2c - 5)
∴ (c)(2c) + (c)(-5) = 322
∴ 2c² + (-5c) = 322
- Remember (+)(-) = (-)
∴ 2c² - 5c = 322
- Subtract 322 from both sides
∴ 2c² - 5c - 322 = 0
The equation that represents this situation is 2c² - 5c - 322 = 0
