Answer:
Step-by-step explanation:
point - slope formula: y - y1 = m(x-x1)
we need to find the slope ... or what is m ?
m = rise / run
m = y2 - y1 / x2 - x1
where the given points are (x1,y1) and (x2,y2)
m= 7-5 / 6-5
m = 2 / 1
m =2
now use either point and plug the slope and the point into the point-slope formula
y-5 =2(x-5) :)
Step-by-step explanation:
can't really use the Pythagorean because you don't know this is a right triangle.
use the fact that they are similar
so
3/6 = x/12 where x is FE
cross multiply
6x = 36 therefore FE = 6
then 6/12 = y/9 where y is FD
cross multiply
12y = 54 = 54/12 therefore FD = 4.5
Answer:
Step-by-step explanation:
The amount formula in compound interest is:
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $3000
t = 2
n = 365
Then,
Answer:
20
Step-by-step explanation:
The expected value of a toss is:
E(X) = (0.10) (3) + (0.30) (1) + (0.60) (0)
E(X) = 0.6
If she scores an average of 0.6 points per toss, then the expected number of tosses needed to get 12 points is:
12 / 0.6 = 20
Using a random number table, we can assign digit 0 as a 3-point hole, digits 1-3 as a 1-point hole, and digits 4-9 as no points. Read the digits and add the points until you get 12 points. The number of digits read is the number of beanbag tosses.
Sample response: The Smith family has 2 choices to make, color
and style. By the fundamental counting principle, the product of the
number of choices of color and style must equal 8. So, there could be 1
color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles,
or 8 colors and 1 style.
