Help with this algebra question
2 answers:
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Answer:
length is 21 cm
breadth is 7 cm
Answer:
B
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant.
Using the distance formula
= | y - 6 |
Squaring both sides
(x + 2)² + (y - 4)² = (y - 6)² ← distributing
x² + 4x + 4 + y² - 8y + 16 = y² - 12y + 36 ( subtract y² - 12y + 36 from both sides )
x² + 4x + 4 + 4y - 20 = 0 ( subtract x² + 4x + 4 from both sides )
4y - 20 = - x² - 4x - 4 ( add 20 to both sides )
4y = - x² - 4x + 16 ( divide through by 4 )
y = - x² - x + 4, that is
f(x) = - x² - x + 4 → B
Answer:
The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.
Step-by-step explanation:
We have these following rates of type II diabetes:
7% among Caucasians
10% among African-Americans
12% among Hispanics
5% among Asian-Americans.
The ethnic distribution of Houston is:
30% Caucasian
25% African-American
40% Hispanic
5% Asian-American
What is the overall probability of type II diabetes among 40- to 59-year-olds in Houston?
is the probability of finding a Caucasian with type II diabetes in Houston. So it is 7% of 30%.
is the probability of finding an African-American with type II diabetes in Houston. So it is 10% of 25%.
is the probability of finding a Hispanic with type II diabetes in Houston. So it is 12% of 40%.
is the probability of finding an Asian-American with type II diabetes in Houston. So it is 5% of 5%.
The overall probability of type II diabetes among 40- to 59-year-olds in Houston is 9.3%.