Turn it into slope-intercept form.
2y = -x + 14
y = -x/2 + 7
The slope is -1/2.
Perpendicular lines have slopes that are opposite reciprocal, so the slope of the perpendicular line is 2.
Răspuns:
8052
Explicație pas cu pas:
Al treilea termen al unei progresii aritmetice:
T (n) = a + (n - 1) d
Unde ;
a = primul termen; d = diferență comună = 4; n = al treilea termen (numărul termenului)
Al treilea (3) termen:
T (3) = a + (3-1) 4
T (3) = 12
12 = a + 2 (4)
12 = a + 8
12 - 8 = a
4 = a
Prin urmare, primul termen = a
Al 2013-lea mandat;
T (2013) = a + (2013-1) d
T (2013) = 4 + (2012) 4
T (2013) = 4 + 8048
= 8052
Answer:
7 are boys
Step-by-step explanation:
Make a system of equations where g is for girls and b is for boys.
b+g=26
g=3b-2
Substitute "3b-2" in for "g" in the first equation.
b+(3b-2)=26
Rewrite without the parentheses because it's addition and not multiplication.
b+3b-2=26
Combine like terms.
4b-2=26
Add 2 to both sides.
4b=28
Divide by the coefficient of the variable to get it alone.
b=7
Answer:
The third option choice
Step-by-step explanation:
In the equation all your doing is halfing the x to get y
Or multiplying it by . 5
So half of what your x is is what your y is
Answer:
Step-by-step explanation:
Given that a researcher is trying to decide how many people to survey.
We have confidence intervals are intervals with middle value as the mean and on either side margin of error.
Confidence interval = Mean ± Margin of error
Thus confidence interval width depends on margin of error.
Margin of error = ![Critical value *\frac{\sigma}{\sqrt{n} }](https://tex.z-dn.net/?f=Critical%20value%20%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D)
Thus for the same confidence level and std deviation we find margin of error is inversely proportional to square root of sample size.
Hence for small n we get wide intervals.
So if sample size = 300, the researcher will get wider confidence interval