Answer:
1/6
1/6
1/36
Events A and B are independent
Step-by-step explanation:
Suppose:
A = event that first die lands on 2
B = event that second die lands on 2
Sample space:
Die 1 = 1,2,3,4,5,6
Die 2 = 1,2,3,4,5,6
Sample space of both die combined is attached below
Probability = (total number of required outcomes / total number of possible outcomes)
Probability that first die lands on 2:
P(A) = 1/6
Probability that second die lands on 2:
P(B) = 1/6
Probability of A and B:
P(A and B) = 1/6 × 1/6 = 1/36
Evebts A and B are independent because, the outcome of one event does not affect the occurrence of the other event.
We are given the functions:
<span>P (d) = 0.75 d --->
1</span>
<span>C (P) = 1.14 P --->
2</span>
The problem asks us to find for the final price after
discount and taxes applied; therefore we have to find the composite function of
the two given functions 1 and 2. To solve for composite function of the final
price of the dishwasher with the discount and taxes applied, all we have to do
is to plug in the value of P (d) with variable d into the equation of C (P).
That is:
C (P) = 1.14 (0.75 d)
C (P) = 0.855 d
or
<span>C [P (d)] = 0.855 d</span>
Answer: 7/8
Step-by-step explanation: This is a substitution problem, from the expression x + ³/₄, where x = ¹/₈, we now replace or substitute for x and then solve the expression fractionally, the expression now becomes
¹/₈ + ³/₄
Now , find the l. c. m. of the denominator 8 and 4
1 + 6
= _____
8
= 7/8
NOTE: To get 1 and 6, you find out how many times 8 can go in the l. c. m. and later multiplied the number of times by the numerator which = 1.
And the number of times 4 can go in the l. c. m. (8) which is 2 times then multiplied by the numerator (3) = 6.
Adding 1 and 6 together gives 7/8.
