We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:
We can use the relationship given in the problem, that is, its length being five less two times its width, that is:
Replacing in the formula for the area we get:
Now we use the distributive law:
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%.
Answer:
{ 4,8}
Step-by-step explanation:
The intersection is what the sets have in common
{1, 4, 8, 12}∩ {2, 4, 6, 8}
{ 4,8}
Answer:
Question 1) To find discount, tax or tip (or the percent of a number) you must take the original number and multiply it by...
The percent with the % sign
The percent written as a decimal
The decimal moved 5 spaces to the right
(Question 2)Michael goes to the jewelry store to buy his mom a necklace. The necklace is normally $119 but the store is having a 25% off sale. How much will Michael
pay for the necklace?
$29.75
$94.00
$89.25
$99.75
(Question 3)Sue’s mom ordered pizzas and snacks for her family. She ordered three pizzas, 1 dozen donuts, and 1 dozen cookies. Each pizza cost $12.99, donuts are $3.99 per dozen, and the cookies are $4.50 per dozen. (All prices include sales tax.) If she paid with a $50 bill, how much change did she receive?
$28.52
$47.46
$2.54
$3.54
Step-by-step explanation:
Answer:
13 and 8
Step-by-step explanation:
a-b = 5
==> a = b+5
a^2 + b^2 = 233
plug in a = b+5: (b+5)^2 + b^2 = 233
b^ + 10b + 25 + b^2 = 233
2b^2 + 10b -208 = 0
use the quadratic formula:
b = 8 or -13 (-13 doesn't work cuz it asks for positive numbers)
so if b = 8, then a = 5+b = 5+8 = 13
