Answer:
13
Step-by-step explanation:
The distance formula is good for finding the distance between two points:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((1 -(-4))² +(-6 -6)²) = √(5² +(-12)²) = √169
d = 13
The distance between the given points is 13 units.
_____
<em>Alternate solution</em>
Once you have found the differences x2-x1 = 5 and y2-y1 = -12, you recognize the triangle as a 5-12-13 right triangle, so you know the answer without any further computation. (Knowledge of the first few Pythagorean triples is very useful. 3-4-5, 5-12-13, 7-24-25, 8-15-17)
Answer:
The 90% confidence interval = (83.9, 86.1)
Step-by-step explanation:
The formula for confidence interval =
Mean ± z × standard deviation/√n
From the question:
n = 38
Mean = 85 points
Standard deviation = 4 points
Z score for 90% confidence interval = 1.645
85 ± 1.645 × 4/√38
85 ± 1.067416951
Confidence Interval =
85 - 1.067416951
= 83.932583049
≈ 83.9
85 + 1.067416951
= 86.067416951
≈ 86.1
Therefore, the 90% confidence interval = (83.9, 86.1)
Answer:
yes
Step-by-step explanation:
Could not simplify further