Answer:
200
Step-by-step explanation:
Let's call the number x :
12.5% of x = 25
Changing 12.5% into decimal would be 0.125
Now we have the equation :
0.125x = 25
Divide both sides by 0.125 to make x the subject :
x = 25 ÷ 0.125
x = 200
To check we can substitute this value into the question :
12.5% of 200 = 25
Hope this helped and have a good day
Answer:
<em><u></u></em>
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
(4b+3) (2b−5)
(4b+3) (2b+−5)
(4b) (2b) + (4b) (−5) +(3) (2b) +(3) (−5)
8b²−20b+6b−15.
= 8b²−14b−15.
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, 0) , thus
y = a(x - 1)² + 0
To find a substitute the coordinates of the y- intercept (0, 1) into the equation
1 = a(- 1)² = a , thus
a = 1
y = (x - 1)² → A
