the picture in the attached figure
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
P=size of the event space/size of the sample space
step 1
find the probability that the person is over 40 years
size of the sample size=255
size of the event space=85
P=85/255------> P=1/3
step 2
find the probability that they drink root beer
size of the sample size=255
size of the event space=75
P=75/255------> P=5/17
step 3
find the probability that the person is over 40 years of age or that they drink root beer
so
P=(1/3)+(5/17)-----> P=(17*1+3*5)/51------> P=32/51-----> 0.6275----> 62.75%
therefore
the answer is
32/51 or 62.75%
Use the parenthesis and join it together to make an addition sign. Then plug 48 +12 into a calculator. ANSWER: 60
Answer:
D. 420
The area of a triangle is
half of(base× height)
10×16= 160
160÷2=80
That is the surface area of ONE triangle.
multiply 80 by 4 to get 320
then find the surface area of the square by doing length×width to get 100
Finally add them together
320+100=420
Answer: Choice B) (24,10)
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Work Shown:
2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10
If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24
Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B
As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
Answer:
(B) an update from the bank when an account balance is less than $50
Step-by-step explanation:
overdraft occurs when money is withdrawn in excess of what is on the current account. In this situation the account is said to be "overdrawn". This applies to debit cards and how much you have on your balance :)
