Answer:
Step-by-step explanation:
A scalar is a constant value that is multiplied throughout a matrix.
e.g.
In number 1 the set up would look like this
3 * ![\left[\begin{array}{ccc}3&-1&5\\2&1&-4\\-6&3&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-1%265%5C%5C2%261%26-4%5C%5C-6%263%262%5Cend%7Barray%7D%5Cright%5D)
To solve this, you must distribute the 3 to each value within the matrix
The solution to #1 would be
M = ![\left[\begin{array}{ccc}9&-3&15\\6&3&-12\\-18&9&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%26-3%2615%5C%5C6%263%26-12%5C%5C-18%269%266%5Cend%7Barray%7D%5Cright%5D)
Answer:
18
Step-by-step explanation:
The expected value is the probability times the frequency.
3 = 1/6 × n
n = 18
Note: the use of the word "odds" is very misleading here. Odds are the ratio of number of successes to number of failures:
S / F
Probability is the ratio of number of successes to number of all outcomes:
S / (S + F)
So the probability of rolling a 5 is 1/6. The odds of rolling a 5 is 1/5.
Furthermore, the word "must" is also incorrect. The player didn't <em>have</em> to roll 18 times. They could have rolled three times and gotten a 5 each time. Or they could have rolled 100 times. 18 is simply the most <em>likely </em>number of rolls needed to get three 5's.
Answer:
12, 4, 24, 30, and 14 are the answers
Answer:
36
Step-by-step explanation:
8x-20=5x+1
-5 -5
3x=-20+1
+20 +20
3x=21
3 3
x=7
8(7)-20
FED=36
F(x) = 2x - 1
subtitute x = 0 to the equation:
f(0) = 2· 0 -1 = 0 - 1 = -1
f(0) = -1
