Answer: B
Step-by-step explanation:
68 divided by 204 gives you 0.33 so round to nearest tenth and and go to 0.31 and then convert to percent and you have 31%
Answer:
We know that n = 50 and p =0.78.
We need to check the conditions in order to use the normal approximation.
Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

With the following parameters:


Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
We know that n = 50 and p =0.78.
We need to check the conditions in order to use the normal approximation.
Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

With the following parameters:


Answer:
-50
Step-by-step explanation:
Luckily for us this one is very simple.
(-5)(10) can also be written as
or with any other multiplicative operator (a symbol that represents multiplication). So this becomes very simple multiplication.
We know that when we multiply a positive number by a negative, the result will be negative - and we also know that 5 times 10 is 50. So our result will be: 
What two numbers add up to -1 and multiply to -72?
-9 and 8
Rewrite the expression above
<u>(x - 9)(x + 8)</u>
Answer:
Step-by-step explanation:
The solution to a system of equations by graphing is found by graphing both equations on a coordinate plane. The solution is the point at which the lines intersect.
<u>First, put both equations in slope-intercept form:</u>
y = x + 4 Already in slope-intercept form
x - y = 1 Isolate y.
-y = -x + 1 Multiply both sides by -1.
y = x - 1
<u>Next, graph both lines:</u>
(See attachment)
In this situation, the lines don't intersect, meaning there is no solution to this system.