Answer:
![\frac{25}{102}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B102%7D)
Step-by-step explanation:
"AND" means Multiplication, and
"OR" means Addition (in probability)
We want Both cards to be black, that means 1st card black "AND" 2nd card black. So we find individual probabilities and MULTIPLY.
There are 26 black cards from 52 total cards in a normal deck.
P(1st card black) = 26/52 = 1/2
Now, since we HAVEN'T REPLACED, there are now 25 black cards out of 51 total cards. So
P(2nd card black) = 25/51
Now we multiply:
P(both black) = ![\frac{1}{2}*\frac{25}{51}=\frac{25}{102}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B25%7D%7B51%7D%3D%5Cfrac%7B25%7D%7B102%7D)
Answer:
D. Z.
Step-by-step explanation:
The graph will reise to the right because the coefficient of x is positive, and its slope is 2/3.
It also has a y-intercept of (0, 2) because of the + 2 in the equation.
Answer: The answer is ![0\leq p\leq 320.](https://tex.z-dn.net/?f=0%5Cleq%20p%5Cleq%20320.)
Step-by-step explanation: Given that in a small auditorium, 320 peoples can sit. The number of peoples who can sit in the auditorium is represented by 'p'.
Since no more that 320 people can sit in the auditorium, so the number of persons who can sit there lies between 0 and 360.
Therefore, the inequalities are
![p\geq 0~~~\textup{and}~~~p\leq 360.](https://tex.z-dn.net/?f=p%5Cgeq%200~~~%5Ctextup%7Band%7D~~~p%5Cleq%20360.)
Combining both of the above inequalities, we get
![0\leq p\leq 360.](https://tex.z-dn.net/?f=0%5Cleq%20p%5Cleq%20360.)
Thus, the required inequality is
.
23p + 1/4 - 1/4 (8p +1)
First you cross out +1/4 and -1/4 that it cancels each other out
Your then left with 23p (8p +1)
So now you do distributive property 23p*8p=184p^2 and 23p*1= 23p
Now your left with 184p^2 +23p, like you cannot combine anything else
your answer is: 184p^2 +23p
Answer:
28
Step-by-step explanation:
$25.50 + 15% = 29.325.
29.325 rounded to nearest cent = 29.32.
29.32 rounded to nearest number equals 28.
Therefore, the answer is A.
Hope this helps!