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Rus_ich [418]
3 years ago
10

A middle school football player, Bo, is just learning how to kick field goals. Currently, he only makes 1/3 of his kicks. A numb

er cube is being used to simulate the result of Bo’s kicks where the numbers 1 or 2 represent a made field goal and the numbers 3,4,5, or 6 represent a missed field goal. Use the following 20 trials of rolling a fair number cube to answer each question.
​ 2436 4251 6233 5316 5212

​ 6643 5326 5313 2152 4164

​ 3642 3554 6413 2563 4533

​ 2512 6634 4536 2112 5546

a. The estimate of the probability that Bo makes three or four field goals is .

​b. The estimate of the probability that Bo does not make any field goals is
Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Currently, he only makes 1/3 of his kicks. ... A number cube is being used to simulate the result of Bo's kicks where the numbers 11 or 22

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Fourteen hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot an
algol13

9514 1404 393

Answer:

  128 miles

Step-by-step explanation:

The convict has a head start of ...

  distance = speed × time

  distance = (8 mi/h) × (14 h) = 112 mi

That distance is being closed at a rate that is the difference between the speeds, so ...

  64 mi/h -8 mi/h = 56 mi/h

The time it takes the guards to catch the convict will be ...

  time = distance/speed

  time = (112 mi)/(56 mi/h) = 2 h

The guards and prisoner will be at a distance from the prison of ...

  distance = speed × time

  distance = (64 mi/h)(2 h) = 128 mi

The convict will be caught 128 miles from the prison.

__

<em>Check</em>

The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.

8 0
3 years ago
Suppose your friends have the following ice cream flavor preferences: 70% of your friends like Chocolate (C). The remaining do n
Marianna [84]

Answer:

  B.  0.18

Step-by-step explanation:

I find the question oddly worded. Apparently, 25% of 70% of your friends like Chocolate and also like Sprinkles. You need to find the product of these numbers to determine the proportion of friends who like Chocolate that also like Sprinkles. That product is ...

  0.25·0.70 = 0.175 ≈ 0.18 . . . . matches choice B

5 0
3 years ago
At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel
Alexeev081 [22]
Use Law of Cooling:
T(t) = (T_0 - T_A)e^{-kt} +T_A
T0 = initial temperature, TA = ambient or final temperature

First solve for k using given info, T(3) = 42
42 = (80-20)e^{-3k} +20 \\  \\ e^{-3k} = \frac{22}{60}=\frac{11}{30} \\  \\ k = -\frac{1}{3} ln (\frac{11}{30})

Substituting k back into cooling equation gives:
T(t) = 60(\frac{11}{30})^{t/3} + 20

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\  \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80
Solve for x:
x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80
Sub back into original cooling equation, x = T(t)
-9(\frac{11}{30})^{\frac{t-10}{3}} + 80 = 60 (\frac{11}{30})^{t/3} +20
Solve for t:
60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3}  = 60 \\  \\  (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\  \\  \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\  \\ \\  t = 4.959

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM
8 0
3 years ago
John's garden is 12ft long and 15ft wide. How<br> long is John's garden in yards?
kkurt [141]

Answer:

4 yards long

Step-by-step explanation:

John's garden is 12 ft long and 3 ft go into a yard. With this information you then divide 12 by 3 to see how many yards would go into the 12. 12/3=4

6 0
3 years ago
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<img src="https://tex.z-dn.net/?f=%20%5Chuge%20%5Cpink%7Bwhat%20%5C%3A%20is%20%5C%3A%20cranial%7D%20%5C%5C%20%5Chuge%20%5Cpink%7
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\huge\mathcal{\fcolorbox{aqua}{pink}{\blue{✿Answer ❖}}}

“Nerves that extend throughout the body on both sides emerging directly from brain and brain stem are called cranial nerves.”

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2 years ago
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