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Natasha2012 [34]
2 years ago
10

Allie rode her bike up a hill at an average speed of 12 feet/second. She then rode back down the hill at an average speed of 60

feet/second. The entire trip took her 2 minutes. What is the total distance she traveled. [Hint: use t = time traveling down the hill]
Mathematics
1 answer:
Volgvan2 years ago
7 0

Answer:

The total distance Allie traveled was 0.81 miles.

Step-by-step explanation:

Since Allie rode her bike up a hill at an average speed of 12 feet / second, and she then rode back down the hill at an average speed of 60 feet / second, and the entire trip took her 2 minutes, to determine what is the total distance she traveled, the following calculation must be performed:

12 + 60 = 72

72 x 60 = 4320

1000 feet = 0.189394 miles

4320 feet = 0.8181818 miles

Therefore, the total distance Allie traveled was 0.81 miles.

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A rational number is a number that can be written as a fraction, is a whole number, is a decimal that stops like 3.35, or is a repeating decimal


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Andre hit a golf ball from the ground and its movement follows the equation hbracket(t)=-16sup(t,2)+44t, where t is the time in
Natasha2012 [34]

Answer: the golf ball with hit the ground again after 2.75 seconds

Step-by-step explanation:

The movement of the golf ball from the ground follows the equation h(t)=-16t^2+44t,

where t is the time in seconds, and h(t) is the height of the ball at a given time t

By the time the golf ball hit the ground, the height from the ground would be zero. This means that we would equate the quadratic equation to zero. It becomes

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Dividing both sides by t

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2 years ago
The First Chicago Bank is reviewing its service charges and interest-paying policies on checking accounts. The daily balance of
mrs_skeptik [129]

Answer:

The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.

The minimum daily balance on which it should be willing to pay interest is $1,198.

Step-by-step explanation:

We have a normal distribution with mean = $800 and standard deviation = $150.

a) We can calculate this value with the standard normal distribution, calculating the z-value for $700 and $1,000.

z_1=\frac{x-\mu}{\sigma} =\frac{700-800}{150}= \frac{-100}{150} =-0.67\\\\\\z_2=\frac{1,000-800}{150}=\frac{200}{150}=1.33\\\\\\P(700

The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.

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P(z>x)=0.06

This happens for a z-value of z=2.652.

This corresponds to a amount of $1,198.

x=\mu+z*\sigma=800+2.652*150=800+398=1,198

The minimum daily balance on which it should be willing to pay interest is $1,198.

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