<span>One spinner has three equally sized sectors numbered 1, 2, and 3. A second spinner has two equally sized sectors labeled Top (T) and Bottom (B).
Both spinners are spun once, therefore, using the probability tree, the sample space of the possible number of outcomes will be:
1, 2, 3 from the first spinner.
Top and Bottom from the second spinner.
Altogether they will form:
1T, 1B, 2T, 2B, 3T, 3B
Hence,
The best Answer choice would be;
</span><span>{B1, B2, B3, T1, T2, T3}</span>
Answer: 78 paperback books.
Step-by-step explanation:
1. Since 2/3 of the books are hardcover books, then 1/3 of the books are paperback books.
2. 234/3 = 78 books.
Answer:
D
Step-by-step explanation:
since it is asking from least to greatest:
-2.45*10^2=-245,
6.987,
sqrt93=about 9.64
Answer:
-2
-3.1
-2 1/2
Step-by-step explanation:
All are negative and a diver diving into a pool means lower so it is all of the negative ones
Answer:2 in.
Step-by-step explanation:
Given
Dimension of photo frame is ![20\ in.\times 24\ in.](https://tex.z-dn.net/?f=20%5C%20in.%5Ctimes%2024%5C%20in.)
If the photo cover an area of ![320\ in.^2](https://tex.z-dn.net/?f=320%5C%20in.%5E2)
Suppose x be the width of border
Therefore dimension of frame without border is
![A'=(20-2x)(24-2x)](https://tex.z-dn.net/?f=A%27%3D%2820-2x%29%2824-2x%29)
And
must be equal to ![320\ in.^2](https://tex.z-dn.net/?f=320%5C%20in.%5E2)
So,
![\Rightarrow (20-2x)(24-2x)=320](https://tex.z-dn.net/?f=%5CRightarrow%20%2820-2x%29%2824-2x%29%3D320)
![\Rightarrow (10-x)(12-x)=80](https://tex.z-dn.net/?f=%5CRightarrow%20%2810-x%29%2812-x%29%3D80)
![\Rightarrow 120-10x-12x+x^2=80](https://tex.z-dn.net/?f=%5CRightarrow%20120-10x-12x%2Bx%5E2%3D80)
![\Rightarrow x^2-22x+40=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2-22x%2B40%3D0)
![\Rightarrow x^2-20x-2x+40=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2-20x-2x%2B40%3D0)
![\Rightarrow (x-2)(x-20)=0](https://tex.z-dn.net/?f=%5CRightarrow%20%28x-2%29%28x-20%29%3D0)
Thus there are two values of x out of which
is not valid because it is not feasible
thus width of border is ![x=2\ in.](https://tex.z-dn.net/?f=x%3D2%5C%20in.)