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Y =1/3x - 1 so slope = 1/3
if <span>perpendicular, slope = -3
passing thru (4,-2) then
y = mx +b
-2=-3(-2) + b
-2=6+b
-2-6 = b
so b = -8
equation:
y = -3x - 8</span>
The difference (faculty-student) in the sample proportions of those who believe that five minutes is not enough time for students to change classes typically varies about 0.096 from the true difference in proportions. Option D is correct.
<h3>What is the standard deviation?</h3>
It is a measurement of statistical data dispersion. The degree to which the value varies is known as standard deviation.
The standard deviation of the sampling distribution is found as;
The difference in the sample proportions of those who think five minutes is not enough time for students to switch classrooms generally differs by roughly 0.096 from the actual difference in proportions.
Hence option D is correct.
To learn more about the standard deviation, refer to: brainly.com/question/16555520.
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Answer:
5.83 = CD
Step-by-step explanation:
We can use the pythagorean theorem to solve
The legs are the x and y distances
x = (1- -4) = 5 units and y = 3 units
a^2+ b^2 = c^2
5^2 + 3^2 = c^2
25+9 = c^2
34 = c^2
Taking the square root of each side
sqrt(34) = c which is the distance from C to D
5.830951895 = CD
5.83 = CD
<span>The <u>correct answer</u> is:
B) 3log</span>₅<span>(x-4).
Explanation<span>:
To stretch a function by a factor of 3, we multiply the function by 3. This eliminates A and D.
To translate a function 4 units right, we add -4 to the variable before anything else is applied to it; this eliminates C.
In choice B, the log function is multiplied by 3, which gives us our vertical stretch; and the x is subtracted by 4 before anything else is applied to it, so it is translated 4 units right.</span></span>
