Answer:
H(n) = 234⁽ⁿ⁻¹⁾
Step-by-step explanation:
Hello,
The first thing to do when finding an explicit equation is to determine if the sequence is arithmetic or geometric.
In this question, the sequence is a geometric progression.
h(n) = h⁽ⁿ⁻¹⁾.(-9)
a = -26
r = common difference
a(n) =ar⁽ⁿ⁻¹⁾
h(n) = -26 × (-9)hⁿ⁻¹⁾
h(n) = 234⁽ⁿ⁻¹⁾
Answer:
28.6, that is, about 29 are expected to be defective
Step-by-step explanation:
For each battery, there are only two possible outcomes. Either it is defective, or it is not. The probability of a battery being defective is independent of other betteries. So the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The probability that a battery is defective is 1/14.
This means that 
400 batteries.
This means that 
How many are expected to be defective?

28.6, that is, about 29 are expected to be defective
Answer:

Step-by-step explanation:
We have to write an equation of a line which passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)
Now, equation (1) is in the slope-intercept form and the slope of the line is 3.
Let, m is the slope of the required line.
So, 3m = -1
{Since, the product of the slopes of two perpendicular straight lines is -1}
⇒
Therefore, the equation of the required line in slope intercept form is
{Where c is a constant}
Now, this above equation passes through the point (-9,2) point.
So,
⇒ 2 = 3 + c
⇒ c = - 1
Therefore, the equation of the required straight line is
(Answer)
.Answer:
The answer is below
Step-by-step explanation:
The patient loses 1 kg every week for 5 weeks.
1 kg = 2.2 lbs
Therefore the patient loses 2.2 lbs every week for 5 weeks.
a) The weight of the patient after 5 weeks = 245 lbs. - (5 weeks)(2.2 lbs per week)
The weight of the patient after 5 weeks = 245 lbs. - 11 lbs. = 234 lbs.
b) The weight of the patient after 5 weeks = 245 lbs. - 11 lbs. = 234 lbs.
1 kg = 2.2 lbs.
234 lbs. = 234 lbs. * 1 kg per 2.2 lbs. = 106.36 kg