Answer:
The answer to your question is: 1 bag of apples cost $6.
Step-by-step explanation:
We need to write an equation:
1 bag of apples + 3 cartons of strawberries = $18
but 1 bag of apples = 1.5 cartons of strawberries
So
1.5 cartons of strawberries + 3 cartons of strawberries = $18
simplify 4.5 cartons of strawberries = 18
1 carton of strawberries = 18/ 4.5 = 4
finally 1 bag of apples = 1.5 (4) = 6
Answer:
The probability that the average score of the 49 golfers exceeded 76 is 0.0228
Step-by-step explanation:
To find the probability that the average score of the 49 golfers exceeded 76, we need to calculate z-score of the score 76.
Z-score can be calculated as follows:
z= where
- X=76
- M is the mean score of all golfers (75)
- s is the standard deviation of the scores (3.5)
- N is the sample size (49)
then z(76)= = 2
By looking at the z-table we find that the probability of z-values of scores smaller or equal to 2 is Pr(Z<2)=0.9772. Therefore
The probability that the average score of the 49 golfers exceeded 76 is 1-0.9772=0.0228
Answer:
The final balance is €4,260.1.
The total compound interest is €260.1.
Answer:
70
Step-by-step explanation:
The simplest way to find the number is work backwards. If you know the final answer is 10, start with 10 and make the number x. Then set up the original equation.
0.5x-25=10
Then start working backwards(isolate).
0.5x-25=10
+25 +25
in other words, 10+25=0.5x. (the 25 cancels out because -25+25=0)
10+25=35, so 35=0.5x.
Now, instead of dividing by 2, multiply by 2(opposite again).
35=0.5x
/0.5(aka *2) /0.5(cancels out)
now you are left with 70=x, so the number is 70.
6.5 hours is equal to:
60 mins x 6 + 30 mins = 390 mins
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42.25 / 390 = 13/120
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Now there are 60 minutes in an hour, so what we do is multiply 13/120 by 60 to find out how much you earn per hour...
13/120 x 60 = 6.5
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You earn $6.50 per hour.