Answer:
m =-7
Step-by-step explanation:
1/9 (2m - 16 ) = 1/3 (2m + 4)
Multiply each side by 9 to get rid of the fractions
9*1/9 (2m - 16 ) =9* 1/3 (2m + 4)
2m-16 = 3(2m+4)
Distribute
2m-16 = 6m +12
Subtract 2m from each side
2m-16 -2m = 6m-2m +12
-16 = 4m +12
Subtract 12 from each side
-16-12 = 4m+12-12
-28 = 4m
Divide each side by 4
-28/4 = 4m/4
-7 =m
Answer:3/25
Step-by-step explanation:
Since we multiplied 0.12 with 100 to get 12, it is important to divide 12 by 100 so that it will remain equivalent to 0.12. By doing so, we have a fraction as shown below: Notice that, we can simplify 12/100 by dividing the numerator and denominator with 4. Hence, we get 3/25.
Answer:
103.5
Step-by-step explanation:
The area is the height times width, and 4.5 times 23 is 103.5.
For x/2 to be greater than or equal to 10, you must try out a few numbers.
If x = 20...
x/2 greater than or equal to 10
= 20/2 greater than or equal to 10
= 10 greater than or equal to 10.
So the answer for x is:
x = 20 or more
Hope this helps!!!
The z score for a confidence level of 99% is 2.575.. You need to know this to complete this type of problem.. the other two commonly used confidence levels are 90% and 95% having z scores of 1.645 and 1.96 respectively. You need to memorize this!
To find the confidence interval, it will be defined as the sample mean plus/minus the margin of error.. Now to find the margin of error, divide the standard deviation of 12 by the square root of the number of elements in your sample(√250). Then take that result and multiply it by the Z score I mentioned above for a 99% confidence level.
In this case: the sample mean is 70 and the margin of error is approximately 1.95
So to calculate the confidence interval, do the following:
70 - 1.95 = 68.05 rounded to the nearest whole number is 68
70 + 1.95 = 71.95 rounded to the nearest whole number is 72
Looks like that would be the last choice. hope this helps.. it's been awhile since my work with statistics :-)
