8 hrs a day for 5 days a week = (8 * 5) = 40 hrs per week
in 6 weeks.....40 * 6 = 240 hrs <==
0.01x + 0.07y = 0.22
0.03x -0.05y = 0.14
x + 7y = 22
3x - 5y = 14
x = 22 -7y
3*(22-7y) -5y =14
66 - 21y -5y =14
-26y = - 52
y =2
x + 14 = 22
x= 8
Answer
test statistic
P-value 
Step-by-step explanation:
From the question we are told that
The first sample size is 
The first sample mean is 
The first standard is 
The second is 
The second sample mean is 
The second standard deviation is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=> 
=>
Generally degree of freedom is mathematically represented as

=> 
=> 
From the student t distribution table the probability value to the left that corresponds to
at a degree of freedom of
is

Answer:
y = 0, 3
Step-by-step explanation:
1) Add 1 to both sides.
4 ∣ 2y −3 ∣ = 11 + 1
2) Simplify 11+1 to 12.
4 ∣ 2y − 3∣ = 12
3) Divide both sides by 4.
∣ 2y − 3∣ = 12 / 4
4) Simplify 12/4 to 3.
∣ 2y − 3 ∣ = 3
5) Break down the problem into these 2 equations.
2y − 3 = 3
-(2y - 3 ) - 3
6) Solve the 1st equation: 2y − 3 = 3
y = 3
7) Solve the 2nd equation: -(2y - 3 ) - 3
y = 0
8) Collect all solutions.
y = 0, 3
Answer:
a) 0.913
b) 0.397
c) 0.087
Step-by-step explanation:
We are given the following information:
We treat wearing tie too tight as a success.
P(Tight tie) = 15% = 0.15
Then the number of businessmen follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 15
We have to evaluate:
a) at least one tie is too tight

b) more than two ties are too tight

c) no tie is too tight

d) at least 18 ties are not too tight
This probability cannot be evaluated as the number of success or the failures exceeds the number of trials given which is 15.
The probability is asked for 18 failures which cannot be evaluated.