Theoretically, each letter should have the same probability of occurring since there are 15 of each. There are 5 letters that can be drawn, so there is a total of 75 balls, and each letter has a probability
of being drawn.
This means one would expect a theoretical frequency of
, i.e. any given letter should get drawn 250 times, which means the answer is D.
If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%
Answer:
The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.
Step-by-step explanation:
The proportion is the number of desired outcomes divided by the number of total outcomes.
The percentage is the proportion multiplied by 100.
In this question:
210 employees with 8 of more year.
Of those, 64 have the email as their preferred method of communication.
64/210 = 0.3048
0.3048*100 = 30.48%
The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.
Remember that an extraneous solution of an equation is a solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation.
First, we are going to solve our equation algebraically:
Step 1 simplify the equation:


Step 2 subtract 5 from both sides of the equation:


Step 3 square both sides of the equation:


Next, we are going to replace our solution in our original equation and check if it is a valid solution:




Since 9 is not equal to 1,
is not valid solution of the equation; therefor it is an extraneous solution.
We can conclude that the correct answer is: x = 16, solution is extraneous
Answer:
The answer is 24.
Step-by-step explanation: