Answer:
0.75
Step-by-step explanation:
Given,
P(A) = 0.6, P(B) = 0.4, P(C) = 0.2,
P(A ∩ B) = 0.3, P(A ∩ C) = 0.12, P(B ∩ C) = 0.1 and P(A ∩ B ∩ C) = 0.07,
Where,
A = event that the selected student has a Visa card,
B = event that the selected student has a MasterCard,
C = event that the selected student has an American Express card,
We know that,
P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)
= 0.6 + 0.4 + 0.2 - 0.3 - 0.12 - 0.1 + 0.07
= 0.75
Hence, the probability that the selected student has at least one of the three types of cards is 0.75.
6y = - x + 8
y = - 1/6x + 4/3
y intercept = 4/3
I hope this helps you
x^2-4x-12
x -6
x +4
(x-6)(x+4)
Answer:
Option D is correct.
Explanation:
Commutative Property of Multiplication define that two numbers can be multiplied in any order.
i.e
Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.
Given:
A = 
B = 
C = 
then;

Using Commutative property of Multiplication we can write
then we have;

Using Distributive property of multiplication;

by using associative property of multiplication ,

Therefore, the reasons for A , B and C in this proof are;
A.commutative property of multiplication
B. distributive property
C. associative property of multiplication
Answer:
1/2
Step-by-step explanation:
A sample space is a collection or a set of possible outcomes of a random experiment.
I have created the sample space for these data and attached it. As you can see there are 16 possible outcomes.
To find the probability that the total showing is greater than 9, simply identify the number of values in the sample space that are greater than 9.
(I have highlighted these in yellow).
Therefore, P(X>9) = 8/16 = 1/2