Answer:
11 units
Step-by-step explanation:
<em>hey there,</em>
<em />
< A square has 4 sides that are all always equal to each other. The perimeter is all the sides summed up together. That means (for example), if one side of the square is 2 cm, then we know that the perimeter is 8 cm, because 2 + 2 + 2 + 2 = 8 (or 2×4=8).
Here we are given that one side is equal to "x-5". Pretend that is a number and solve as I did just right above:
(x-5)×4 = 4x -20
Now we know that the perimeter is (4x-20) units (when you don't know what the units are then just put "units").
We also know that the perimeter can be a number which is 24. That means these two values are equal to each other.
4x-20 = 24
Now solve! Bring x to one side, and all the numbers to the other side.
4x = 44
x = 11
We now know that the value of one side of the square (x) is equal to 11 units. >
<u>Hope this helped! Feel free to ask anything else.</u>
Answer:
z = 1.960
Step-by-step explanation:
The sample proportion is:
p = 715 / 2684 = 0.2664
The standard error is:
σ = √(pq/n)
σ = √(0.266 × 0.734 / 2684)
σ = 0.0085
For α = 0.05, the confidence level is 95%. The z-statistic at 95% confidence is 1.960.
The margin of error is 1.960 × 0.0085 = 0.0167.
The confidence interval is 0.2664 ± 0.0167 = (0.2497, 0.2831).
The upper limit is 28.3%, so the journal can conclude with 95% confidence that the true percentage is less than 29%.
To solve this you simply multiply 0.1 by 3.7
0.1×3.7= 0.37
