Answer:
11.8%
Step-by-step explanation:
Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.
Let p = probability of success = 30% = 30/100 = 0.3
q = probability of failure = 1-p = 1-0.3 = 0.7
Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.
That would be;
P(X = 0) = 6C0 p^0 q^6
6C0 is pronounced six combination zero
= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649
This is approximately 0.1176
If we convert this to percentage we have 11.76%
But we want our answer rounded to the nearest tenth of a percent and that is 11.8%
Checking if the sequence is an arithmetic sequence
7 - 1 = 6
13 – 7 = 6
Therefore the sequence is arithmetic, with a_0 = 1 and d = 6
a_n = a_0 + (n-1)d
a_30 = 1 + (29)(6)
= 175
Therefore the 30th term is 175.
The correct translation vector is (6,4) :)
There are two equation:
1) From Kim
2) From Daniel
Let:
x be the cost of rolls of plain wrapping paper
y be the cost of rolls of shiny wrapping paper
Kim:
7x + 8y = 140
Daniel:
14x + 7y = 154
<u>Using elimination method:</u>
(7x + 8y = 140) * -2 (Multiplying the equation by -2)
-14x - 16y = -280
-14x -16y = -280
14x + 7y = 154
------------------------------
0x - 9y = -126
9y = 126 (Negative sign cancels from both sides)
y = 126 /9
y = 14
The cost of each shiny wrapping paper is $14.
Now solve x, you pick any two equation to solve for x.
7x + 8y = 140
7x + 8(14) = 140 (You know from above y =14)
7x + 112 = 140
7x = 28
x = 28/7
x = 4
The cost of each plain wrapping paper is $4.
Solution: (4,14)
Half of 45 is 22.5 or 22 1/2!
