<u>Answer:</u>
The line parallel to y – axis is x = 4. Thus option a is correct.
<u>Solution:</u>
Given, a set of options as linear equations.
We have to choose one which is parallel to the y – axis.
We know that, slope of y – axis is undefined.
As the required line is parallel to the y – axis, its slope should also be equal to slope of y – axis.
Now, let us check one by one option.
Now, a) x = 4

= undefined
Here slope of this line is undefined. Which means it is parallel to y – axis.
So, we got our required answer.
Hence, the line parallel to y – axis is x = 4 i.e. option a is correct.
The probability that the student gets between 1 and 6, exclusive, questions correct will be 0.7872...
<em><u>Explanation</u></em>
If the probability of success is
, then the probability of
successes in
trials will be......

Here, the quiz has total 12 questions and each question has 4 answer choices. So,
and 
The student gets between 1 and 6, exclusive, questions correct. It means <u>there can be 2 or 3 or 4 or 5 questions as correct</u>. So....
The probability of 2 or 3 or 4 or 5 questions correct will be:

Answer:
D. Only one cleaning product was asked about in the survey.
Any given company can use more than one cleaning product or even use a combination of different cleaning products. The question was not specific enough, since it should have probably asked which cleaning products are used and which ones are used more frequently.
Step-by-step explanation:
the other options are wrong because:
- A. Only 50 cleaning services were surveyed. ⇒ This actually would increase the validity of the claim because it satisfies the the condition for a valid confidence interval [np and n(1 - p) are larger than 10]-
- B. Cleaning services were selected at random. ⇒ This actually would increase the validity of the claim.
- C. A well-known company conducted the survey. ⇒ This actually would increase the validity of the claim.
Answer:
1. 70
2. 54
3. 54
4. 40
Step-by-step explanation: