Answer: a. 0.04
Step-by-step explanation:
Given : Number of multiple choice questions = 2
Choices given in each question = 5
Since only one choice is correct out of 5.
So, the probability of selecting the correct answer = 
Also, both questions are independent of each other.
It means , The probability of answering the two multiple choice questions correctly if random guesses are made
=( Probability of selecting the correct answer in question 1 ) x ( Probability of selecting the correct answer in question 2 )
= 
Hence, the required probability =0.04
Let's let x = the number of workers making $75 per day
Then that would mean (60 - x) would be the number of workers who make $100 per day.
Now the average salary, which needs to be 80, can be found by adding all the salaries of the 60 workers and dividing by 60. The following equation can model this problem:
[75x + 100(60 - x)]/60 = 80 simplify the left side of the equation
(-25x + 6000)/60 = 80 multiply both sides by 60
-25x + 6000 = 4800 subtract 6000 from both sides
-25x = -1200 divide both sides by -25
x = 48 recall we set 'x' to equal the number of workers making $75 per day
And there you have it! Hope this helps..
Step 1: Calculate the 0.035 that you already know how to do.
Step 2: Calculate 1-0.035 = 0.965
Step 3: Look at the Z table and find 0.965 (or as close to this value as possible)
<span>Step 4: Look at the far left of the row containing 0.965 </span><span> 1.8</span>
<span>Step 5: Look at the top of the column containing 0.965 </span><span> 0.01</span>
<span>Step 6: Add these two values </span><span> 1.81</span>
<span>Step 6 is your z value that corresponds to that level of confidence.</span>
Step-by-step explanation:
X =(-5-√97)/6=-2.475 or x =(-5+√97<span>)/6= 0.808</span>
