Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
Answer:
-25
Step-by-step explanation:
This equation is in the form y = mx + b where m is the slope and b is the y-intercept. Knowing this, we see that -25 is in place of m, so that's our answer.
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.
D Is the answer hope it helps
