The solution to the inequality in interval form is (-∞, -1/4)
<h3>Inequality expressions</h3>
Inequality are expressions not separates by an equal sign. Given the inequality below;
x+1<3/4
Subtract 1 from both sides to have;
x + 1 - 1 < 3/4 - 1
x < 3/4 - 1
x < (3-4)/4
x < -1/4
Hence the solution to the inequality in interval form is (-∞, -1/4)
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Answer:
16 : 28
Step-by-step explanation:
If 12 out of the 28 pupils are female, we can calculate the number of males by subtracting the number of females from the total number of pupils.
28 - 12 = 16
So, there are 16 males in the class. Now, we know that the ratio of males : total is 16 : 28.
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The answer to this question is 2
Using the z-distribution, it is found that:
- The 95% confidence interval is of -1.38 to 1.38.
- The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.
<h3>What is the z-distribution confidence interval?</h3>
The confidence interval is:
In which:
is the difference between the population means.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
The estimate and the standard error are given by:
Hence the bounds of the interval are given by:
1.74 is outside the interval, hence:
- The 95% confidence interval is of -1.38 to 1.38.
- The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.
More can be learned about the z-distribution at brainly.com/question/25890103
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an equation for a circle has formula
(x-m)² + (y-n)² = r²
where (m,n) is its center
and r is its radius
so, the equation has center (4,3) and radius 4
the equation is derived from the pythagorean theorem
