Answer:
1. A matched-pairs t-test is valid, despite the sample being a small representation of the population, because the sample is a simple random sample and has a distribution with a single peak.
Step-by-step explanation:
The matched-pairs test is valid, for the reasons given in choice 1. Here's why:
- We do have matched pairs, not a 2-sample t-test, because each two are paired by the house they live in. Husband and wife live together: it's safe to pair them. (This rules out option 5.)
- Check conditions: The sample is large enough (fulfilling the <u>sample size condition)</u>. The sample data is fairly normal, although we don't know the population data, and the sample size is over 40, so we consider it a fairly large sample (fulfilling the <u>nearly normal condition)</u>. We don't know about outliers, but we'll have to assume Ted doesn't have any, because they aren't mentioned.
Answer:
Step-by-step explanation:
The number of students in each bus = s.
It is given that,
6 students traveled by car and the rest traveled in 11 buses.
So, the total number of students traveled = 11s + 6.
Since, the least number of students traveled is 450.
Thus, we get the inequality representing the situation is,
Answer:
A is correct
Step-by-step explanation:
What we need to do here is to multiply all the roots together
The roots are;
3, √5 and -√5
Let’s have them in form of a sum
if x = 3, then the root is x-3
If x = √5, then the root is x-√5
If x = -√5, then the root is x+ √5
Now we need to multiply all these together to arrive at the original polynomial
Let’s start by using the roots
(x-√5)(x+ √5)
we can use the difference of 2 squares here and we arrive at (x^2 -5)
So finally, the polynomial would be;
(x^2-5)(x-3)
= x(x^2-5) -3(x^2-5)
= x^3-5x-3x^2+15
By rearranging, we have;
x^3-3x^2-5x+15
Answer: 0.17%
Step-by-step explanation:
0.166% × 100 =
(0.166 ÷ 100) × 100 =
(0.166 × 100) ÷ 100 =
16.6 ÷ 100 =
0.166 ≈
0.17
Number of pitches = 135
Number of strikes = 45
Rate =
Rate =
The greatest common factor of 135 and 45 is 45
Rate =
Rate =
Rate = 3