Answer:
Step-by-step explanation:
To find the distance, we first do B - A, where B is (-6, 7) and A is (-1, 1):
(-6, 7) - (-1, 1) = (-6+1, 7-1) = (-5, 6)
Imagine it as a triangle, where the hypotenuse is the distance, and -5 and 6 are the lengths of the sides.
To find the hypotenuse (Pythagorean Theorem): 
The answer is the square root of 61.
Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2: Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3: Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4: Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5: Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
Answer:
The probability that the dart lands inside the triangle is 0.25
Step-by-step explanation:
* Lets explain how to find the probability of an event
- The probability of an Event = Number of favorable outcomes ÷ Total
number of possible outcomes
- P(A) = n(E) ÷ n(S) , where
# P(A) means finding the probability of an event A
# n(E) means the number of favorable outcomes of an event
# n(S) means set of all possible outcomes of an event
- P(A) < 1
* Lets solve the problem
- A rectangular dartboard has an area of 648 cm²
- The triangular part of the dartboard has an area of 162 cm²
- A dart is randomly thrown at the dartboard
- The dart lands in the rectangle
∴ The area of the rectangle is the set of all possible outcomes n(S)
- The probability P(A) that the dart lands inside the triangle
∴ The area of the triangle is set of favorable outcomes of an
event n(E)
∵ P(A) = n(E) ÷ n(S)
∴ P(T) = area of the triangle ÷ area of the rectangle
∵ Area of the rectangle is 648 cm²
∴ n(S) = 648
∵ The area of the triangle is 162 cm²
∴ n(E) = 162
∴ P(T) = 162 ÷ 648 = 1/4 = 0.25
* The probability that the dart lands inside the triangle is 0.25
Step-by-step explanation:
f(x) = 9 * 81^x
When x = -1/2,
f(-1/2) = 9 * 81^(-1/2) = 9 * (1/9) = 1.
The statement that is true would be later on as he crosses Stover Lake, he drives 30 minutes at the same average speed. Hope this helps
