It is reasonable because the ME is 5.9% and the population proportion of 78% falls in the sample interval of 73.3% ± 5.9%
or
Yes, it is reasonable because the ME is 5.9% and the population proportion of 73% falls within the sample interval of 78.0% ± 5.9%
either one will work
12 = x² - x
12 - 12 = x² - x - 12
0 = x² - x - 12
x² - x - 12 = 0
x = <u>-(-1) +/- √((-1)² - 4(1)(-12))</u>
2(1)
x = <u>1 +/- √(1 + 48)</u>
2
x = <u>1 +/- √(49)
</u> 2
x = <u>1 +/- 7</u>
2
x = 0.5 +/- 3.5
x = 0.5 + 3.5 x = 0.5 - 3.5
x = 4 x = -3
<u />
X - 2y = -29
x - y = -11
first solve for x in the first equation;
x = 2y - 29
now substitute it into the second equation;
x - y = -11
2y - 29 - y = -11
y - 29 = -11
solve for y;
y - 29 = -11
y = -11 + 29
y = 18
solve for x by substituting what y equals;
x = 2y - 29
x = 2(18) - 29
x = 7
so your answer is, (7, 18)
hope this helped!! blessings x
Answer:
11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet
Step-by-step explanation:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
Permutations of four letters from a set of 12 letters. So

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet
Answer:
(0, -2)
Step-by-step explanation:
The equation of y axis is x = 0. So, the y intercept is located at point (0, b). Therefore we can substitute 0 into x in the given equation to find b and hence the coordinates of the y intercept.
3x - 7y = 14
3*0 - 7y = 14
-7y = 14
y = -2