The LCD of 33 and 22 is 66
Answer:
r = 5y/8
Step-by-step explanation:
isolate the variable by dividing each side by factors that contain the variable.
Answer: D) 40%
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Work Shown:
Area of purple rectangle (ignore circular cutout for now) = base*height = 6*12 = 72
I'm assuming the center of the circle is located on the right edge of the purple rectangle. If so, then we can subtract off half the circle's area from the purple rectangle area
Semicircle Area = (pi*r^2)/2 = (pi*3^2)/2 = 14.1371669
Area of purple region = (Rectangle Area) - (Semicircle Area)
Area of purple region = 72-14.1371669
Area of purple region = 57.8628331
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Now divide this area by 144 as this is the total area of the entire largest square (12 by 12 square) to get 57.8628331/144 = 0.401825 which is approximate. This rounds to 0.40 and converts to 40% which explains how I got choice D as the answer
Answer:
Option D - Because the Z* was only a little bigger than the Zc, the test supports the null hypothesis and we conclude μ = 10
Step-by-step explanation:
In z-value problems, the normal practice is that If the calculated z-value is less than the critical z-value, we will reject the null hypothesis and accept the alternative hypothesis but if it's greater than the critical z-value, we will fail to reject the null hypothesis and say that the test was not statistically significant.
In this problem, the calculated z-value of -1.49 is greater than -1.645, so we will fail to reject the null hypothesis and say that the test was not statistically significant.
Thus, in this question, we fail to reject the null hypothesis because the calculated value of z was bigger the value of z_c.
Answer:
0.7842857142857143
Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me