Answer:
Step-by-step explanation:
Read the coordinates of the points:
A(-1, 0) → A'(-1, 0)
B(0, 2) → B'(0, -2)
C(3, 2) → C'(3, -2)
D(4, 0) → D'(4, 0)
(x, y) → (x, -y)
Check:
A → A': (-1, 0) → (-1, -0) = (-1, 0) CORRECT
B → B': (0, 2) → (0, -2) CORRECT
C → C': (3, 2) → (3, -2) CORRECT
D → D': (4, 0) → (4, -0) = (4, 0) CORRECT
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Laura worked 32 hours and Gabriel worked 12
The length of other leg is 60 units.
Step-by-step explanation:
Given,
Length of one leg = a = 45 units
Length of other leg = b
Length of hypotenuse = c = 75 units
Using pythagoras theorem
Taking square root on both sides
The length of other leg is 60 units.
Keywords: Pythagorean theorem, square root
Learn more about square root at:
#LearnwithBrainly
Answer:
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Explanation:
<u>1. Determine the percent of people who developed dementia from the entire population. </u>
a)<u> From the percent of people who had depression</u>:
b) <u>From the number of people who did not have depression</u>:
c) <u>Total percent:</u>
- 2.2% + 15.3% 17.5% of all people developed dementia.
<u>2. Probability that the person suffered from depression earlier in life, if a person has developed dementia:</u>
- percent of people who developed dementia and had depression / percent of people who developed dementia = 2.2% / 17.5% = 0.126
Note, that this can be calculated using the formula for conditional probability:
Where:
- A is having suffered depression
- B is having developed dementia
- A∩B is having both suffered depression and developed dementia
- P(A∩B) = 22% ₓ 10% = 2.2% = 0.022
- P(B) = 22% × 10% + 17% × 90% = 17.5% = 0.175
- P(A/B) = P(A∩B) / P(B) = 0.022 / 0.175 = 0.126
