Answer:
Step-by-step explanation:
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
The probability in favor of the regulation based on the recent survey is:

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:
Answer:
Step-by-step explanation:
<u>The equation to reflect the monthly plans:</u>
- Plan A f(x) = 0.16x + 12
- Plan B g(x) = 0.12x + 29
<u>We need to find the value of x when f(x) = g(x):</u>
- 0.16x + 12 = 0.12x + 29
- 0.16x - 0.12x = 29 - 12
- 0.04x = 17
- x = 17/0.04
- x = 425 minutes
<u>The cost is:</u>
<span>4 mins ago - Which situation can be represented by the inequality? x<3 The movie is longer than 3 h. The ceiling is lower than 3 m. The backpack is heavier than 3 kg. The child is 3 years old. teamlargemouthox7s6p · Answer · Mathematics; 5 points; 42 seconds ago. Is table F a Portional relationship or is table G?</span><span>
</span>
Answer:
9) 4
10) p¹⁵/q⁹
Step-by-step explanation:
9)
As per the law of indices, (xᵃ)ᵇ=xᵃᵇ.
So divide 8 by 2 to get 4
10)
p(p⁻⁷q³)⁻²q⁻³
p(p¹⁴q⁻⁶)q⁻³ <em>(because (xᵃ)ᵇ=xᵃᵇ)</em>
pq⁻³(p¹⁴q⁻⁶)
p¹⁵q⁻⁹
p¹⁵/q⁹ <em>(because x⁻ᵃ =1 /xᵃ)</em>