Answer: x>_3.2 OR x<_ -0.75
Step-by-step explanation: first break down your compound inequality. 5x-4>_12
You first cancel out your constants by adding 4 to both sides. Now you’re left with 5x>_16 then to cancel five you have to divide on both sides by five which equals to 3.2. Then, x>_ 3.2.
Next you do your second part, 12x+5<_-4
So first cancel out the constant of 5 by subtracting 5 on both sides, making the equation 12x<_-9. Now, you divide by 12 on both sides, making it -9/12. Which effectively is -0.75. Therefor, the answer being x<_ -0.75. Add the two together x>_3.2 OR x<_0.75
Answer:
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
Multiply 8 by 2.
Multiply 16 by 4.
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
C
Step-by-step explanation:
So first, you find the area of a rectangle, which would be 15 * 30 = 450. Next, find the area of the semicircle by doing (you have to divide by 2 because it's only have a circle).
The radius is half of 15, so 15 / 2 = 7.5. This would be:
The last step is to add 450 + 88.3125 = about 538.3 m^2
Answer:
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.96.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 190 - 30 = 160 days
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.