Answer:
This decision is not statistically significant .
Step-by-step explanation:
Hypothesis testing is set up so that you can prove a null hypothesis. Therefore, when you do not find evidence against the null hypothesis, you fail to reject the null hypothesis or the result is not statistically significant.
So we can start with the full of possibilities and eliminate them one by one.
The full set is {0,1,2,3,4,5,6,7,8,9}.
Now we know that any prime greater than 2 is odd as otherwise it would have 2 as a factor, so we can eliminate all of these digits that would be an even number, leaving:
{1,3,5,7,9}
We also know that any prime greater than 5 cannot be a multiple of 5 and that all numbers with 5 in the digits are a multiple of 5, so we can eliminate 5.
{1,3,7,9}
We know that 11,13,17 and 19 are all primes, so we cannot eliminate any more of these, leaving the set:
{1,3,7,9} as our answer.
Answer: Consistent and independent.
Step-by-step explanation:
We have the system of equations:
y = 4x - 4
y = -4x + 4.
Now, first let's define the terms used in the question.
consistent and independent: we have only one solution.
consistent and dependent: we have infinite solutions.
inconsistent: we do not have solutions.
Now, let's look at the system:
y = 4x - 4
y = -4x + 4.
Let's take the quotient between both the equations:
(y/y) = (4x - 4)/(-4x + 4)
1 = (4x - 4)/(-4x + 4)
let's see if we can solve this for x.
1*(-4x + 4) = 4x - 4
-4*x + 4 = 4x - 4
-4x - 4x = -4 - 4
-8*x = -8
x = -8/-8 = 1.
and to find the value of y, we can input this value of x in one of the equations:
y = 4*1 - 4 = 0.
Then we have only one solution, (1, 0).
(and will be the same if you input x in the other equation, as the right side is minus the right side of the first equation)
Then the system is consistent and independent.
Answer:
Each package of pen costs 2.5
Each package of marker costs 5
Step-by-step explanation:
Please refer to the attached image for explanations
The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:
B. 20%.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
The percentage of airlines with an average age of 14 years is:
The percentage of airlines with an average age of 11 years is:
The difference is:
33.33% - 13.33% = 20%.
Hence option B is correct.
More can be learned about percentages at brainly.com/question/10491646
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