The first equation given 
We have to add 1 and 5 to the right side first. We will get,
To get rid of 6 from the right side we have to subtract 6 from both sides.
To find n we have to move -2 to the other side by dividing both side by -2.
So we have got the required answer for the first question.
The solution is n = 0.
The second equation given,
First we have to move 7x to the left side by subtracting it from both sides.
Now we have to move -2 to the right side by adding 2 to both sides.
We have got the required answer for the second question.
The solution is x = -7.
The third equation given,
We have to get rid of that negative sign from both sides. As we have negative sign to both sides we can cancel it out. We will get,
Now we have to move 4 to left side by subtracting it from both sides.
So we have got the required answer .
The solution is x = 4.
There are three friends and 4 cups. Each friend can have a whole cup each and need to split the last cup 3 ways (1/3)
Each friend would get 1 cup and 1/3 of a cup
(I hope I’m right~)
Answer:
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
Step-by-step explanation:
<u>Numbers:</u>
<u>Let's see which option is correct:</u>
-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.
- 4.5 in not an integer, it is incorrect
-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.
- 4.5 is not a whole number, this is incorrect
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.
- -1.1 is not and integer, 4.5 is not a whole number, this is incorrect
Answer:
n = 400
Step-by-step explanation:
The formula for the error in our estimate is given by:
Standard Error : √ ( p(1-p)/ n)
Error = SE = Zα/2 √ ( p(1-p)/ n) where
Zα/2= critical value for 95% confidence level = 1.96
and we know our error is 3.5 %
But we do not the sample proportion p. Then what we can do is give an estimate of p in the absence of any other information.
In this case we will use p= 0.5 which is the value that maximizes the expression for the standard error :
if p = 0.8 then SE= 0.040
p = 0.3 then SE =0.036
p = 0.1 then SE = 0.030
p = 0.5 then SE = 0.050
Substituting
3.5/100 = 1.96 x √ (( 0.5 x 0.5 ) /n )
3.5/ (100 x 1.96 x 0.5 ) = 1/ √n
0.0357 = 1 /√n
n = 20²
n = 400
