Answer :
<h3>
<u>
=1048576 ways </u>
a student can answer the questions on the test if the student answers every question.</h3>
Step-by-step explanation:
Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.
∴ Answers=4 options for each question.
<h3>
To find how many ways a student can answer the given questions on the test if the student answers every question :</h3>
Solving this by product rule
Product rule :
<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>
From the given the event of choosing the answer of each question having 4 options is given by
The 1st event of picking the answer of the 1st question=4 ,
2nd event of picking the answer of the 2nd question=4 ,
3rd event of picking the answer of the 3rd question=4
,....,
10th event of picking the answer of the 10th question=4.
It can be written as by using the product rule
<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
Answer:
4 and 6?
im not sure if you meant numbers
Step-by-step explanation:
Answer:
At the rate expected, 125 of the 10,000 cars from said manufacturer will contain a defect.
Step-by-step explanation:
Given a sample size of 400, this will be a representation of the total of all cars from this manufacturer.
If 5 of these cars have been found to have a defect, then the rate of defects within the company's cars is expected to be
5/400
Using this proportion to expand to a sample size of 10,000 cars then, we can create the expression
5/400 = x/10,000 Multiply both sides by 10,000 to isolate x
50,000/400 = x Reduce the fraction
125 = x
Therefore, within a sample of 10,000 cars from said manufacturer, it can be expected that 125 of these vehicles will have a defect.
The given inequality :
Simplify :
<em>Multiply both side by (-1) and reverse the inequality :</em>
<em />
<em>Divide the inequality by 3:</em>
<em />
<em>i.e. x is less than or equal to (-3) </em>
Solution : x ≤ (-3)
<em>so, </em>
<em>x is lies in the half open interval of - infinity to (-3)</em>
<em />
Interval Notation : (-infinity, -3]
Answer:
Solution : x ≤ (-3)
Interval Notation : (-infinity, -3]
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