Answer:
The functions that represent this situation are A and C.
Step-by-step explanation:
A geometric sequence goes from one term to the next by always multiplying or dividing by the same value.
In geometric sequences, the ratio between consecutive terms is always the same. We call that ratio the common ratio.
This is the explicit formula for the geometric sequence whose first term is k and common ratio is r
Answer: 8
Step-by-step explanation:
Let the number be represented by x.
Two less than three times a number is the same as six more than twice the number. This will be:
(3 × x) - 2 = (2 × x) + 6
3x - 2 = 2x + 6
Collect like terms.
3x - 2x = 6 + 2
x = 8.
The number is 8
To solve this problem, we make use of the Binomial
Probability equation which is mathematically expressed as:
P = [n! / r! (n – r)!] p^r * q^(n – r)
where,
n = the total number of gadgets = 4
r = number of samples = 1 and 2 (since not more than 2)
p = probability of success of getting a defective gadget
q = probability of failure = 1 – p
Calculating for p:
p = 5 / 15 = 0.33
So,
q = 1 – 0.33 = 0.67
Calculating for P when r = 1:
P (r = 1) = [4! / 1! 3!] 0.33^1 * 0.67^3
P (r = 1) = 0.3970
Calculating for P when r = 2:
P (r = 2) = [4! / 2! 2!] 0.33^2 * 0.67^2
P (r = 2) = 0.2933
Therefore the total probability of not getting more than
2 defective gadgets is:
P = 0.3970 + 0.2933
P = 0.6903
Hence there is a 0.6903 chance or 69.03% probability of
not getting more than 2 defective gadgets.
Answer exact: 8.74, rounding to the tenth: 8.7, rounding whole 9
Answer:
2 less than 3 times a number is 13
