Answer:
Step-by-step explanation:
slant height = l = 15 mm
radius = r = 7 mm
Surface area of cone = πr (l + r) square units
= 3.14 * 7 *(15 + 7)
= 3.14 * 7 * 22
= 483.56 square mm
Answer:
-3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
I am pretty sure you are trying to ask this but don't mind if it's not. If it's not just ignore it.
-3 is the smallest, so you go see the integers above it that are equal or less than 3.
Integers are numbers that can be negative or positive, but cannot be a decimal, square root, X and more.
So then the answer should be
-3, -2, -1, 0, 1, 2, 3
If
is a random variable representing your winnings from playing the game, then it has support
![W=\begin{cases}43&\text{if you draw something with value at most 3}\\-11&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=W%3D%5Cbegin%7Bcases%7D43%26%5Ctext%7Bif%20you%20draw%20something%20with%20value%20at%20most%203%7D%5C%5C-11%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
There are 52 cards in the deck. Only the 1s, 2s, and 3s fulfill the first condition, so there are 12 ways in which you can win $43. So
has PMF
![P(W=w)=\begin{cases}\frac{12}{52}=\frac3{13}&\text{for }w=43\\1-\frac{12}{52}=\frac{10}{13}&\text{for }w=-11\\0&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=P%28W%3Dw%29%3D%5Cbegin%7Bcases%7D%5Cfrac%7B12%7D%7B52%7D%3D%5Cfrac3%7B13%7D%26%5Ctext%7Bfor%20%7Dw%3D43%5C%5C1-%5Cfrac%7B12%7D%7B52%7D%3D%5Cfrac%7B10%7D%7B13%7D%26%5Ctext%7Bfor%20%7Dw%3D-11%5C%5C0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
You can expect to win
![E[W]=\displaystyle\sum_ww\,P(W=w)=\frac{43\cdot3}{13}-\frac{11\cdot10}{13}=\boxed{\frac{19}{13}}](https://tex.z-dn.net/?f=E%5BW%5D%3D%5Cdisplaystyle%5Csum_ww%5C%2CP%28W%3Dw%29%3D%5Cfrac%7B43%5Ccdot3%7D%7B13%7D-%5Cfrac%7B11%5Ccdot10%7D%7B13%7D%3D%5Cboxed%7B%5Cfrac%7B19%7D%7B13%7D%7D)
or about $1.46 per game.
Answer:
a) Rs. 2425.55, Rs. 2626.36 (2 d.p.)
b) Rs. 1320
Step-by-step explanation:
Please see the attached pictures for the full solution.
4 x 5 x 8 = 160
width x base x height = volume :)