Answer:
The probability that the next color will be red is: 
Step-by-step explanation:
The probability of an event is defined as:
Probability=(Total number of favourable outcomes)/(Total number of outcomes )
Here we have to find the probability that the next colour is red is given by:
<em>The recordings are given as:</em>
B R Y R R R R Y R B R R
Number of outcomes that red will come up=8
Total number of outcomes=12
Hence the probability is given by:

Answer:
The probability that the customer is charged incorrectly on at most 2 items is 3.979 × 10⁻².
Step-by-step explanation:
To solve the question, we note that we proceed with the binomial distribution formula as follows
Number of times the customer is incorrectly charged out of ever 10 items = 4
Therefore, the probability that the customer is incorrectly charged is 4/10 = 0.4
That is p(incorrect) = 0.4
Then the probability that the customer is charged incorrectly on at most 2 items is
P(x≤2) = P(x=0) + P(x=1) + P(x=2)
= ₙC
×
×
=
P(x=0) = ₁₄C₀ ×0.4⁰× 0.6¹⁴ = 7.836 × 10⁻⁴
P(x=1) = ₁₄C₁ ×0.4¹× 0.6¹³ = 7.314 × 10⁻³
P(x=2) = ₁₄C₂ ×0.4²× 0.6¹² = 3.169 × 10⁻²
∴ P(x≤2) = 7.836 × 10⁻⁴ + 7.314 × 10⁻³ + 3.169 × 10⁻² = 3.979 × 10⁻²
P(x≤2) = 3.979 × 10⁻².
Answer:
3480
Step-by-step explanation:
Answer:
The solution set is (-3, 4).
Step-by-step explanation:
x2 + 4x - 9 = 5x + 3
x^2 + 4x - 5x - 9 - 3 = 0
x^2 -x - 12 = 0
(x - 4)(x + 3) = 0
x = -3, 4.
Answer:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence
Step-by-step explanation: