ANSWER — 350 : 2000 or 7 : 40 (simplified version)
Solving: 100+250=350 (the loan part).
The income is given, it the amount Natalie makes per month (2000).
Simplifying: 350/50=7, 2000/50=40
Answer:
30 first-class tickets were sold and 260 coach tickets were sold.
Step-by-step explanation:
Let a first-class ticket be represented by f and let a coach ticket be represented by c.
On a particular flight, a jumbo jet was carrying 290 passengers. So, the sum of the first-class tickets and coach tickets must sum to 290:
The total income was $95,280. Therefore:
We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:
From the first equation, we can subtract f from both sides:
Substitute:
Distribute:
Simplify:
So:
From the previous equation:
Substitute:
30 first-class tickets were sold and 260 coach tickets were sold.
Answer: it will take 9 days
Step-by-step explanation:
The water level was initially at 34feet it was receding at the rate of a foot per day. The rate at which it was receding is linear, thus, it is in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as
Tn = a+(n-1)d
Where
a is the first term if the sequence
d is the common difference
n is the number of terms.
From the information given,
a = 34 feet because it is the initial height
n is the number of days it will take to get to 26 ft
d = -1 because it is decreasing by 1 foot per day.
Tn = T26 = 26 feet. Therefore, the equation will be
Tn = 34 -1(n-1)
To find for T26,
26= 34 + (n - 1)-1
26 - 34 = -n + 1
n - 1 = 8
n = 8 + 1 = 9
The probability of a baby being a boy is 0.514.
Nine baby births are selected and we have to find the probability that at last one of them is a girl.
P(At least one out of 9 is baby girl) = 1 - P(No baby girl)
= 1 - P(All 9 are baby boy)
= 1 - (0.514)^9
= 1 - 0.0025
= 0.9975
The probability that at least one out of 9 selected births is baby girl is 0.9975
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