Luke bikes for 2.58 miles and takes a car for 6.93 miles each morning to reach his school. How long is Luke's journey to school?

The goalie on the Iceblades hockey team saves (blocks) 73% of the opponent's shots. With 10 minutes to go, the Iceblades are ahe

guapka [62]

1. The paired digits 00 to 99 represent 100 shots.

blocked

Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.

Write your answer in the space below.

The answer is 73 to 99

2. Each group represents the 5 shots taken by the other team. To win the game, the Ice blades cannot let the other team score any goals.

For a group to be a success, how many of the 5 shots does the goalie need to save?

Write your answer in the space below.

The answer to the question Is all 5.

3. Group 1 is a success. Explain why.

Write your answer in the space below.

Group 1 is a success because none of the numbers 73 and 99 show up.

4. In this simulation, which groups are successes? How many successes are there in the 10 groups?

Write your answer in the space below.

1,3,10

There are 3.

5. Estimate the probability the Ice blades will win the game. Give your answer as a percent.

Write your answer in the space below.

3/10=30%

4 0

3 years ago

I really need help please answer

belka [17]

Answer: Choice B) between 6:48 AM and 5:12 PM

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Explanation:

I've seen this problem before, and the first part states that if the temperature is above 25 degrees C, then the air conditioner turns on to start cooling the castle.

We want to find values of t that satisfy f(t) > 25

This is the same as trying to solve f(t) - 25 > 0

So we have,

$f(t) = 24 - 5\cos\left(\frac{\pi}{12}t\right)\\\\ f(t)-25 = 24 - 5\cos\left(\frac{\pi}{12}t\right)-25\\\\ f(t)-25 = -1 - 5\cos\left(\frac{\pi}{12}t\right)\\\\ f(t)-25 > 0\\\\ -1 - 5\cos\left(\frac{\pi}{12}t\right) > 0\\\\$

To solve this inequality, we can graph using Desmos as I've done so below. See the attached image.

Note how I used x in place of t. This is because the graphing calculator graphs (x,y) coordinates.

Furthermore, note how I marked the two points (6.769, 0) and (17.231, 0)

Between these two points is when the curve is above the x axis, when f(t) > 25 is true. This is when the temperature is above 25 degrees C, and when the air conditioner is working.

When t = 6.769, this means that roughly 6.769 hours have passed since midnight which means we're somewhere between 6 am and 7 am. The only value that works from the answer choices is 6:48 AM.

Note how 0.769*60 = 46.14 is fairly close to 48. This error is likely due to how things are rounded.

Then focusing on the point (17.231, 0) means that t = 17.231. So 17.231 hours have elapsed since midnight and we're now at roughly 1700 hours

1700 hours in military time = 17-12 = 5 pm

The time value t = 17.231 is between 5 pm and 6 pm. The only thing that works is 5:12 pm.

We can then note how 0.231*60 = 13.86 which is also probably due to rounding error (it's fairly close to 12 though).

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In short, we found the function for f(t)-25 and graphed it as shown below. The two points (6.769, 0) and (17.231, 0) help us see when the AC is turned on, which is roughly between 6:48 AM and 5:12 PM. This seems like a reasonable time for the AC to be operational. Something like between 5:12 PM and 6:48 AM seems like a bad idea because the AC would be working mostly at night, instead of during the day.

Anything beyond t = 24 represents the next day, which is when the cycle starts all over again. So we only need to focus on the window from t = 0 to t = 24. Specifically, the portion of the f(t)-25 curve that is above the x axis.