Answer: We should use the correct formula for tan α (which is opposite
leg over adjacent leg) tan α = 5/b
Step-by-step explanation:
See attached file
We must use the for equation of tan α = BC/AC
tan α = BC/ b tan α = 5/b tan 30⁰ = 1/√3
b = 5/√3 ⇒ b = 5/1.7320
b = 2.8868 cm
Answer:
At the 5% level, BAOI can infer that the average time to complete does not exceeds 60 hours.
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is 
The standard deviation is 
The null hypothesis is 
The alternative 
Here we would assume the level of significance of this test to be

Next we will obtain the critical value of the level of significance from the normal distribution table, the value is 
Generally the test statistics is mathematically represented as

substituting values


Looking at the value of t and
we see that
hence we fail to reject the null hypothesis
This means that there no sufficient evidence to conclude that it takes more than 60 hours to complete the course
So
At the 5% level, BAOI can infer that the average time to complete does not exceeds 60 hours.
If every 5 mins, A makes 1 yo-yo every 10 mins, B makes 1 yo-yo then every 10 mins, both machines produce 3 yo-yos every 10 mins (2 from machine A and 1 from machine B) Therefore, for 20 yo-yos, both machines would take 70 minutes( 1 hour and 10 mins). After 70 minutes, 21 yo-yos would be produced.