Answer:
$600 - $40 = $560
$560/ $25 = 22.4
this means he can have up to a total of 22 people at his party
Using confidence interval concepts, it is found that the interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.
<h3>What is a confidence interval?</h3>
It is given by the <u>sample proportion plus/minus the margin of error</u>, and a x% confidence interval means that we are x% sure the population proportion is in the interval.
134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate, hence:
p = 134/420 = 0.319
The margin of error for the statistic is 0.045, hence:
0.319 - 0.045 = 0.274
0.319 + 0.045 = 0.364
The interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.
More can be learned about confidence interval concepts at brainly.com/question/25890103
Answer:
<h2>The function is</h2><h2>
</h2>
Step-by-step explanation:
At t = 0 the difference is 100 degree celsius.
After one second the temperature difference will be =
After two second, the difference will be
Hence, it can be written that,
=
What are the questions ??
Based on the calculations, the solutions of this system of linear inequalities are equal to:
- y < 4x + 5
- y ≤ 2x + 3
<h3>What is an inequality?</h3>
An inequality simply refers to a mathematical relation that's used to compare two (2) or more integers (variables) in an equation based on any of the following:
- Greater than or equal to (≥).
- Less than or equal to (≤).
In order to determine the solutions of this system of linear inequalities, we would find the slope of each line.
For line A, we have:
Slope, m = (11 - 3)/(4 - 0) = 8/4
Slope, m = 2.
Mathematically, the standard equation of a line is given by y = mx + b.
y = 2x + 3
y ≤ 2x + 3.
For line B, the slope is equal to 4. Also, the y-intercept from the graph is equal to 5.
Therefore, the standard equation of a line is given by:
y = 4x + 5
y < 4x + 5
In conclusion, the solutions of this system of linear inequalities are equal to:
- y < 4x + 5
- y ≤ 2x + 3
Read more on linear inequalities here: brainly.com/question/21103162
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