Answer:
The probability that a customer pays late each month is P(B) = 0.27
Step-by-step explanation:
Let P( A ) be the probability that the customer pays on time and the value is 0.55
Let P( B ) be the probability that a customer pays late each month
So
The probability that a customer pays late or on-time each month is P(A u B) and the value is 0.82
The probability that a customer pays on-time and late each month is P(A n B) and the value is zero ( 0 ) given that it is impossible
Now The probability that a customer pays late or on-time each month is mathematically represented as
P(A u B) = P(A) + P(B) - P(A n B)
=> 0.82 = 0.55 + P( B ) - 0
=> P(B) = 0.27
Answer:
Bobby around 131 minutes and Billy around 111 minutes
Step-by-step explanation:
To solve the problem it is important to raise equations regarding what happens.
They tell us that Billy (Bi) and Bobby (Bo) can mow the lawn in 60 minutes. That is to say that what they prune in a minute is giving as follows:
1 / Bo + 1 / Bi = 1/60 (1)
They say Billy could mow the lawn only in 20 minutes less than it would take Bobby, therefore
1 / Bi = 1 / (Bo-20) (2)
Replacing (2) in (1) we have:
1 / Bo + 1 / (Bo-20) = 1/60
Resolving
(Bo - 20 + B0) / (Bo * (Bo-20) = 1/60
120 * Bo - 1200 = Bo ^ 2 - 20Bo
Rearranging:
Bo ^ 2 - 140Bo -1200 = 0
Now applying the general equation
Bo = 130.82 or Bo = 9.17, <em>this last value cannot be because Billy took 20 minutes less and neither can he prune faster than the two together</em>, therefore Bobby only takes around 131 minutes and Billy around 111 minutes
Checking with equation 1:
1/131 +1/111 = ~ 1/60
This is a ratio.
12 km : 3 h
simplify to-
4km : 1 h
which means the hiker traveled 4 km per 1 hour.
Answer:
105 text messages
Step-by-step explanation:
7.70 divied by 154 = 0.05
0.05 per text massage
5.25 divided by 0.05 = 105
to check work:
105 times 0.05 = 5.25
Answer:
if 1cm is for 1km there are 12km
Step-by-step explanation:
it can depend on the size of the map but if there is a scale which shows how many km per cm then multiply by 12
