9514 1404 393
Answer:
F. x ≤ -5
Step-by-step explanation:
Translating the diagram to more conventional symbols, we have ...
4x +12 ≤ -8
4x ≤ -20 . . . . . . . subtract 12 from both sides
x ≤ -5 . . . . . . . . . divide both sides by 5
Solution:
3,500,000 - 2,030,000 = 1,470,000 square miles
Explanation:
Let's fully understand what this word problem is saying. Break it down.
The Sahara Desert is the largest desert in the world.
The Australian Desert is the second largest desert.
This means that the Australian Desert has an area that is less than the Sahara desert.
We are given the size of the Sahara, which is 3,500,000 square miles, but not the size of the Australian desert.The area of the Australian desert is less by 2,030,000 square miles.This is the amount we have to subtract from the area of the Sahara to find the size of the Australian desert:
3,500,000-2,030,000= 1,470,000 square miles. Hope this helps!
Answer: No, the data provided is not sufficient evidence to conclude that the mean height of women in the city differs from the national mean.
Step-by-step explanation:
Since we have given that

Mean height = 61.5 inches
Standard deviation = 4.4 inches
n = 100
So, test statistic value would be

At 10% level of significance, in two tail test ,
z = 1.28
Since 1.28 > -2.727
So, we will accept the null hypothesis.
Hence, No, the data provided is not sufficient evidence to conclude that the mean height of women in the city differs from the national mean.
Yes, math can be challenging sometimes (mostly due to the horrible way its taught by teachers but I wont go on a rant about that today).
The Slope of a parallel line is obviously going to have the same slope as the line it is parallel to, which you already know.
But for perpendicular, how would we figure that out?
First, you need to understand whats going on. Picture a linear line. Now, look at the (0,0) point. To make it perpendicular, it must form 90 degrees with the other line. Now, to get the answer for a perpendicular line, you need to remember two steps.
1.) Change the sign to the opposite sign (negative would go positive and positive would go negative)
2.) You take the reciprocal of the line (That is what times that number would make that number equal one. 2 * 1/2 would be 1. You can also look at this by switching the denominator and numerator.
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