Answer:
The required hypothesis to test is
and
.
Step-by-step explanation:
Consider the provided information.
It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.
She would now like to determine whether or not the mean age of her customers is over 30.
Null hypotheses is represents as
. Thus the null hypotheses is shown as:

The alternative hypotheses is represents as
. Thus the alternative hypotheses is shown as:

Hence, the required hypothesis to test is
and
.
There are 15 articles of clothing
5 are blue and 10 are red
5/15 will give you a percent which is your answer
Answer 0.333333333
Answer:
D) The variable is discrete because it is countable.
Step-by-step explanation:
Both discrete and continuous falls under the numeric category.
Discrete variables are the variable that are countable and cannot be expressed in decimal form.
Example: Tosses of a coin, Number of rooms in an house.
Continuous variables on the other hand cannot be counted, they are countable and can be expressed in the form of decimals. Its value can be expressed in the form of interval.
Example: Time, Length.
Now, number of students in a class is a discrete variable since students are countable and they cannot be expressed in decimal form.
So the correct option is D) The variable is discrete because it is countable.
Answer:
One number, let's call it x, is 6 more than twice the other number, let's say this number is y.
x= 2y+6
x+y=21
We're left with a system of equations.
If we substitute the first equation in the second we find the value of y.
(2y+6)+y=21
3y+6=21
3y=15
<u><em>y=5</em></u>
Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.
x+ (5)=21
<u><em>x=16</em></u>
<u><em>Now to check if our answers are correct, we plug in both values into any equation and see if they equate.</em></u>
x+y=21
(16)+(5)=21
21=21
Our solution is correct!