Answer:
0.7 = 70%.
Step-by-step explanation:
There are 5 cans, and she will pick 2, so the number of possibilities that she can pick 2 cans is a combination of 5 choose 2:
C(5,2) = 5!(3!*2!) = 5*4/2 = 10
To find how many possibilities there are with at least 1 can of soup, we can find the number of groups that include no cans of soup, and then see how many possibilities complete the total 10:
There are 3 "no-soup" cans, so the number of possibilities is a combination of 3 choose 2:
C(3,2) = 3!/2! = 3
So, there are 3 possibilities that have no cans of soup, so the number of possibilities that have at least 1 can of soup is 10 - 3 = 7
Then, the probability is 7 / 10 = 0.7 = 70%.
Answer:
C. $824.74, $175.26
Step-by-step explanation:
1) Amount Credited
The formula to calculate the amount credited =
Amount paid ÷ ( 100% - Discount)
Discount is given in the question as 3/10
Where 3 = Discount rate
Amount paid = $800
Amount credited = 800/( 100% - 3%)
= 800/ 97%
= 800/ 0.97
= $824.74
b) Outstanding balance = Invoice - Amount credited
Invoice = $1000
Amount credited = $824.74
Outstanding balance = $1000 - $824.74
= $175.26
Answer:
A compass and straightedge allow for a more accurate rendition of a triangle, especially one needed to be specific measures
Step-by-step explanation:
Answer:
10.3 units
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = 69°
Side length Opposite to reference angle = x
Hypotenuse length = 11
Thus, apply the trigonometric ratio, SOH:
Sin 69 = Opp/Hyp
Substitute
Sin 69 = x/11
11 × Sin 69 = x
10.2693847 = x
x = 10.3 units (nearest tenth)