In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of
2 answers:
You might be interested in
Explanation:
Step-by-step clarification:
Referring to step 6
(b² — 4ac) / 4a² = (x + b/2a)²
The mistake in the question is that it should be (x + b/2a)²
According to step 7
±√(b² —4ac) /2a = x + b/2a
The error in the question is that it should be divided by 2a, not 1a.
1. The transition from step 6 to step 7 involves taking the square roots of both sides
(b² — 4ac) / 4a² = (x + b/2a)²
Taking the square of both sides
√(b²—4ac) / √4a² = √(x + b/2a)²
√(b²—4ac) / 2a = x + b/2a
This forms step 7 correctly.
Next, subtracting b/2a from both sides
√(b²—4ac) / 2a - b/2a= x + b/2a -b/2a
√(b²—4ac) / 2a — b/2a = x
(√(b²—4ac) — b)/2a = x
x = [—b ± √(b²—4ac)] / 2a
This gives the desired formula.
The discriminant is D = b²—4ac.
Answer:
Hello! Your question appears to be missing details; here is the complete version
Ix = 0 Ux =
Iz = 0 Uz =
Iy = 5 Uy = 10
Step-by-step explanation:
Ix = 0 Ux =
Iz = 0 Uz =
Iy = 5 Uy = 10
This provides a comprehensive solution below
Answer:
a)
The probability can be determined using the complement rule, with the standard normal distribution, an excel sheet, or a calculator.
b)
This probability can also be calculated using the normal standard distribution, an excel sheet, or a calculator.
c)
For this one, the probability can likewise be derived from the standard normal distribution, excel, or a calculator, with specific adjustments:
Step-by-step explanation:
Previous concepts
Normal distribution refers to a symmetric probability distribution centered around the mean, indicating that occurrences near the mean are more common than those far from it.
The Z-score is a statistic that represents a value's relationship to the average of a set of values, expressed in terms of how many standard deviations it is away from the mean.
Part a
Let X denote the random variable representing the lengths within a population, and for our case, the distribution for X is as follows:
Where and
We seek the probability:
The most effective way to solve this is by leveraging the normal distribution and the corresponding Z-score:
By applying this formula, we can find the probability:
Again, this probability can be obtained either using the complement rule, the standard normal distribution, or a calculator.
Part b
This probability can also be computed using either the normal standard distribution, an excel sheet, or a calculator.
Part c
In this case, the probability can similarly be acquired with the help of the standard normal distribution, an excel sheet, or a calculator, with particular adjustments: