Answer:
21:A 22:D
Step-by-step explanation:
hope that helps
Answer:tanQ=
adjacent
opposite
=
24
7
≈0.2917≈0.29
Step-by-step explanation:
trust me bro
The ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]
<h3>System of equations</h3>
Given the following system of equations expressed as:
f(x) = x² - 2x + 3 and f(x) = -2x + 12
Since they are both function of x, hence;
x² - 2x + 3 = -2x + 12
x² - 2x + 3 + 2x - 12 = 0
x² - 9 = 0
x² = 9
x = ±√9
x = ±3
If x = 3
f(x) = -2(3) + 12
f(x) = 6
If x = -3
f(x) = -2(-3) + 12
f(x) =18
Hence the ordered pairs of the solution to the system of equation are [(3, 6), (-3, 18)]
Learn more on system of equation here: brainly.com/question/14323743
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Answer:
The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.7291
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have
. So



The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.
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