<u><em>ANSWER</em></u>
I believe that the amount of the instant rebate is $30. X represents the price of the bike, and 0.09 is the sales tax.
So if the bike cost $100:
0.09(100) + (100-30) = 9 + 70 = $79
Although I think I would want them to tax the bike after the instant rebate and not on the original price.
If I'm wrong about the instant rebate then it would be 1.09x-30. Hope this helps.
Answer:
We can approximate to normal.
The parameters of the approximate normal distribution are:


It is not unusual to have 23 or more successes. The probabiltity of this event happening is 13.4%.
Step-by-step explanation:
To approximate the binomial distribution to a normal distribution, we can calculate n*p and n*q and if both are bigger than 5 we can do the approximation.

We can approximate to normal.
The parameters of the approximate normal distribution are:

The continuity correction factor is used because the binomial is a discrete function and the normal a continous function.
The probability of 23 successes must be expressed in the normal distribution as:

It is not unusual to have 23 or more successes. The probabiltity of this event happening is 13.4%.
Answer:
See below.
Step-by-step explanation:
The train leaves station A at 13:44 and arrives at station B at 15:12.
Which means the train took 1 hour and 28 minutes to arrive at station B.
The train travels at 300 km/h. It took at least one hour, so the answer > 300 km.
Now, the remaining 28 minutes. We divide them by 60, as there’s 60 minutes in one hour and multiply by 300, as that’s how fast the train travels per hour.
28/60*300 = 140.
300 + 140 = 440.
The distance between the stations is 440 km.
Answer:
2
Step-by-step explanation:
For every 1/3 cup of orange juice, she uses 2/3 cups
You are solving for 1 cup. To solve, multiply 3/1 to both fractions.
(1/3)(3/1) = 3/3 = 1
(2/3)(3/1) = 6/3 = 2
For every 1 cup of orange juice, 2 cups of pineapple juice is used.
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