We have that the probability of Janice rolling a 2 or 5 on her 7th toss of the dice is
![\frac{1}{3}^7.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5E7.)
From the question we are told that
Janice rolled either a 2 or a 5 on the last 6 rolls of the die
Janice rolling a 2 or 5 on her 7th toss of the dice
![P(2/ 5)=1/6+1/6\\\\P(2/ 5)=2/6\\\\P(2/ 5)=1/3.](https://tex.z-dn.net/?f=P%282%2F%205%29%3D1%2F6%2B1%2F6%5C%5C%5C%5CP%282%2F%205%29%3D2%2F6%5C%5C%5C%5CP%282%2F%205%29%3D1%2F3.)
Where
![P(2/5 ) =(1/3)^6.](https://tex.z-dn.net/?f=P%282%2F5%20%29%20%3D%281%2F3%29%5E6.)
Janice roll the standard die 7th time the probability of getting 2 or 5 is
![P(2/5 ) =\frac{1}{3}^7.](https://tex.z-dn.net/?f=P%282%2F5%20%29%20%3D%5Cfrac%7B1%7D%7B3%7D%5E7.)
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The measurement of the largest square tile is 4 ft. by 4 ft.
You would need 6 of these tiles to fill the room.
Answer:
The height of the hovercraft at the time of takeoff is 33 meters.
Step-by-step explanation:
Height of hovercraft x seconds after takeoff = h(x) = -(x - 11)(x + 3)
Height after takeoff is = h(0) = -(0 - 11)(0 + 3) = -(-11)(3) = 33
So the correct answer is 33 meters. The height of the hover craft at the time of the takeoff is 33 metres.
Answer: 33 meters.
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Answer: ![1.03*10^{-1}>3.1*10^{-2}>2.01*10^{-3}>2.32*10^{-4}>4.2*10^{-5}](https://tex.z-dn.net/?f=1.03%2A10%5E%7B-1%7D%3E3.1%2A10%5E%7B-2%7D%3E2.01%2A10%5E%7B-3%7D%3E2.32%2A10%5E%7B-4%7D%3E4.2%2A10%5E%7B-5%7D)
Step-by-step explanation:
1. A number written in scientific notation has the following form:
![a10^{b}](https://tex.z-dn.net/?f=a10%5E%7Bb%7D)
Where is
is a number between 1 and 10 but not including 10, and b is an integer.
2. The negative exponent indicates the number of places the decimal point must be moved to the left to obtain the number as a decimal number.
3. Keeping this on mind, you can know that: if the exponent of a number written in scientific notation indicates that the decimal point must be moved 5 places to the left and another number written in scientific notation indicates that the decimal point must be moved 2 places to the left, then the first number is smaller than the second one.
4. Therefore, you can arrange the numbers given in the problem as following:
![1.03*10^{-1}>3.1*10^{-2}>2.01*10^{-3}>2.32*10^{-4}>4.2*10^{-5}](https://tex.z-dn.net/?f=1.03%2A10%5E%7B-1%7D%3E3.1%2A10%5E%7B-2%7D%3E2.01%2A10%5E%7B-3%7D%3E2.32%2A10%5E%7B-4%7D%3E4.2%2A10%5E%7B-5%7D)
The answer is (-7.5, -7.5)