The correct option that shows the population of the research carried out by Matthew is;
<u><em>Option D; all the students attending the college</em></u>
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- We are told that Matthew wants to estimate the mean height of students attending his college.
- Now, let us say the total number of students in his college is x. If he decides to select 100 students randomly to record their height, it means this 100 students is a sample out of the total number of students which is x that is the population.
In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.
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Answer:
(x−2)^3=x^3−6x^2+12x-8
Step-by-step explanation:
if you are talking about the binomial (x−2)^3 you must expand then simplify. (x-2)3 you would just remove the parenthesizes and multiply -2 with 3 to get x-6 but I think you meant (x-2)^3
Answer:
Option D
Step-by-step explanation:
From the spinner we see there are 5 colours in there.
These are;
Green, Yellow, Red, Purple, Blue.
This means that when it is spinned, there's possibility of getting only one colour per spin.
Since she tosses a coin as well for each spin, there's a possibility of getting either a tail or head per spin.
This means, all possible outcomes will be 5 × 2 = 10 outcomes.
With each colour possibly showing up with either tail or head.
Correct answer is Option D as it has 10 possible outcomes in the correct order.
Answer:
x = - 2
Step-by-step explanation:
- 8 = - 2x - 12
- 8 + 12 = - 2x - 12 + 12
- 2x = 4
- 2x ÷ - 2 = 4 ÷ - 2
x = - 2
Answer:
since -3.73 is less than 1.645, we reject H₀.
Therefore this indicate that the proposed warranty should be modified
Step-by-step explanation:
Given that the data in the question;
p" = 13/20 = 0.65
Now the test hypothesis;
H₀ : p = 0.9
Hₐ : p < 0.9
Now lets determine the test statistic;
Z = (p" - p ) / √[p×(1-p)/n]
= (0.65 - 0.9) /√[0.9 × (1 - 0.9) / 20]
= -0.25 / √[0.9 × 0.1 / 20 ]
= -0.25 / √0.0045
= -0.25 / 0.067
= - 3.73
Now given that a = 0.05,
the critical value is Z(0.05) = 1.645 (form standard normal table)
Now since -3.73 is less than 1.645, we reject H₀.
Therefore this indicate that the proposed warranty should be modified
