Number of ways the first 4 databases can be selected = 9C4 = 126
Probability that it is in 2 of the first 4 = 5C2 / 126 = 10/126
Probability that it is in 3 of the first 4 = 5C3 / 126 = 10/126
Probability that it is in 4 of the first 4 = 5C4 / 126 = 5/126
Probability that it is in at least 2 of the first 4 = 10/126 + 10/126 + 5/126 = 25/126
Answer:
Bottom Right Corner
Step-by-step explanation:
The top left corner represents the Commutative Property of Addition, which says that order doesn't matter when you're adding two things together. In this case, the two items are Pretzels (p) and Mustard (m): p + m = m + p.
The bottom left corner represents the Distributive Property, which says that if you are expanding out a parentheses, you must add the products of the outside number with each of the inside numbers. In this case, the outside number if Pretzel (p) and the inside numbers are Mustard (m) and -1:
p(m - 1) = pm - p
The top right corner represents the Zero Identity Rule, which states that anything multiplied by 0 equals 0. Here the "anything" is just Pretzels (p), Salt (s), and Mustard (m): (p + s + m) * 0 = 0.
The bottom right corner simply states that you can break up a fraction into the product of the numerator and 1 over the denominator. In this case, the numerator is Pretzels (p) and the denominator is Salt (s): . However, this is not a specific "rule" or "property". It is simply an equivalence. That's why it's the odd one out.
Thus, the bottom right corner is the one that doesn't belong.
Hope this helps!
Answer: 97 degrees
Step-by-step explanation:
I drew some letters on your attachment to make it easier for you to understand.
To find angle y you need to find angle x first, you do that by doing (180=A+B+C) and you solve for A which is x degrees (A=180-B-C)
When you use angle C you must combine the 26 degrees and 55 degrees because if you use only 55 let's say, that would be the angle for triangle CDB, and we need C for triangle ABC.
So: A=180-42-81 -> A=57 degrees
Now you know Angle A (57 degrees) and Angle ACD (26 degrees)
All you have to do to find Y is to do: y=180-x-26
So y would be: 97 degrees
Keep in mind this is one of two solution methods I can see, if you want me to show you the other one as well just tell me in the comments, you are welcome.
Answer:
$31.50
Step-by-step explanation:
In this problem we need to write an equation to represent the situation and then solve for the variable. We first need to define a variable that makes sense to the problem, the variable should represent what we are solving for.
x=cost of a single pair of jeans
3x=94.50
Now, we need to solve for x to find the cost of a single pair of jeans.
3x/3=94.50/3
x=31.50
The cost of a single pair of jeans is $31.50
Answer:
x = 21/2
y = -19/2
Step-by-step explanation:
5x - 17 = 4y + 7x
5x - 7x - 4y = 17
-2x - 4y = 17
6x + 8y = - 13
-2x - 4y = 17 | ×2 |
6x + 8y = - 13 | ×1 |
-4x - 8y = 34
6x + 8y = - 13
___________+
2x = 21
x = 21/2
-2x - 4y = 17
-2(21/2) - 4y = 17
-21 - 4y = 17
-4y = 17 + 21
-4y = 38
y = -38/4
y = -19/2