You are absolutely right.
Answer:
Step-by-step explanation:
Here are the steps to follow when solving absolute value inequalities:
Isolate the absolute value expression on the left side of the inequality.
If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.
If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:
(quantity inside absolute value) < -(number on other side)
OR
(quantity inside absolute value) > (number on other side)
The same setup is used for a ³ sign.
If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:
-(number on other side) < (quantity inside absolute value) < (number on other side)
The same setup is used for a £ sign
Answer:
Yes
Step-by-step explanation:
Many students gets confused with these exponential problems, they often get misguided but understand that there is nothing to be confused of.
When you have a negative number, you just take the reciprocal of the whole exponent number.
What is a reciprocal?
Let's take an integer for example, let's take the number 3.
The reciprocal for 3 is (1/3)
Let's take an other number, let's take 2/3
The reciprocal for 2/3 is (3/2)
In conclusion, we just reverse the denominator and the numerator or just switch it.
We take 3 as (3/1) and that is the reason, the reciprocal would be (1/3)
Now, coming to the negative integers. Taking an example:
(2)⁻¹
This would be become (1/2¹) = (1/2)
Hence, the result of a negative integer is positive but would be a fraction.
Hope I helped!
Answer:
We are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.
Step-by-step explanation:
95 % confidence means that we are 95 % confident that the the proportion of American voters who favor congressional term limits is 64 percent.
95 % confidence means that of all the sample about 95 % values are within in the given range.
And only 5% sample are not included in the given parameter.
Margin of error is the amount of miscalculation or difference in change of circumstances from the obtained data.
3% margin of error usually occurs when the data size is small.
As the data size increases the margin of error decreases.
So this statement tells us that we are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.
Margin of error= z *σ/√n→
This indicates that as the sample size decreases the margin of error increases and vice versa.
Answer:
r = 1/3
= 1
Step-by-step explanation:
1 + 1/3 + 1/9 + 1/27 + 1/ 81
In this series a is the first term = 1
r is the common ratio = 2nd term/1st term = 3rd term/ 2nd term
r = 1/3 ÷ 1 = 1/9 ÷ 1/3
r = 1/3
I hope this was helpful, please mark as brainliest
