In order to determine this probability, we calculate using this difference:
To obtain these probabilities, it’s possible to utilize normal standard distribution tables, a calculator, or software like Excel. The accompanying figure displays the results achieved. Here’s a detailed breakdown of the steps: Relevant concepts include the normal distribution, which describes a probability distribution that is symmetric regarding the mean, demonstrating that occurrences close to the mean are more likely than those farther away. The Z-score represents a statistical measure illustrating how far a value is from the average of a set, expressed in standard deviations.
For our analysis, let X denote the random variable representing weights in a population, with its distribution characterized by:
We’re specifically interested in this probability. The most effective approach to address this issue is through the standard normal distribution and the Z-score calculation, expressed as:
Applying this formula to our probability provides the following:
This allows us to calculate this probability with the provided difference:
We use standard distribution tables, a calculator, or Excel for determining these probabilities. The graph illustrates the resulting outcome.
The function representing the cost per share, C, relative to the number of contributors, n, is C = 500 / n. For the contribution to be $20 each, Jane must gather 20 additional contributors, totaling 25. With just 5 currently, she needs 20 more to reach this goal.
The initial time was 15.7 minutes.
Explanation of steps:
Let x represent the initial time (in minutes).
The relay team is working on minimizing their relay race duration.
First, they cut down their time by 2.1 minutes.
Afterwards, they manage to reduce that time by 10 percent.
If the concluding time ends up being 3.96 minutes, then
x-t1-t2= 3.6
x= 3.6+ t1+ t2
x= 3.6+ 2.1+ 10
x= 15.7
Thus, their starting time was 15.7 minutes.
Answer:
10
Step-by-step explanation:
If there’s a direct correlation between variables x and y, it can be expressed as
y = kx,
where y is the dependent variable
x is the independent variable
k signifies the constant of variation
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For the first scenario
y = 400
x = r
using y = kx, we can derive the relation:
400 = kr
To find k here:
k = 400/r
For the second scenario
y = r
x = 4
again using y = kx, the relationship is given by:
r = 4k
Solving for k:
k = r/4
Since both conditions provide the same equation, k will have the same value in both cases.
Thus, we conclude:
400/r = r/4
=> 400*4 = r*r
=> 1600 = r^2
Hence, r is calculated to be 40.
Thus, k = r/4 = 40/4 = 10.
The constant of variation is confirmed to be 10, which is the correct answer.
Verification:
k = 400/r = 400/40 = 10
Answer:
$786
Step-by-step explanation:
50, 60, 72
calculate the variance between the earnings from the first and second hours to obtain 10.
determine the difference between the second and third hours, resulting in 12.
it becomes clear that these differences are consistently increasing in even numbers starting from 10, such as 10, 12, 14, 16, 18, 20, 22, 24, 26, 28....etc
to compute the total income over the 24 hours, continue adding the next even number until the 24th hour
the total will be $786.
