<span>Given that one
hundred students are asked a survey question as they walk through the
front gate at their middle school.
This a representative sample of
the schools population because the sampling is random and is not biased.</span>
Answer:
4, 15/5 , 0.5, -1/5, -1.2 , -49
Step-by-step explanation:
4
15/5=3
0.5
-1/5=-0.2
-1.2
-49
Answer:
a) y = 3x+12
b) y-6 = 3(x+2)
Step-by-step explanation:
The equation of a line in slope-intercept form is expressed as y = mx+c
m is the slope or gradient
c is the intercept
We need to calculate the value of slope and intercept.
We will get the slope from the equation of line x+3y = 7
Rewriting the equation
3y = 7-x
y = 7/3 -x/3
M = -1/3
Since the equation if the unknown line is perpendicular to this line then Mm = -1 where m is the slope of the unknown line
m = -1/M
m = -1/(-1/3)
m = 3
To get c, we will substite the point given (-2,6) and the slope into the equation y = mx+c
6 = 3(-2)+c
6 = -6+c
c = 12
Substituting m= 3 and c = 12 into the standard form of the equation we have;
y = 3x+12 (This gives the required equation in its slope intercept form)
b) The standard form of a line is expressed as y-y1 = m(x-x1) where (x1,y1) are the points and m is the slope. On substituting the point {-2,6) and slope of 3 into this equation we will have:
y - 6 = 3(x-(-2))
y-6 = 3(x+2)
This gives the equation of the line in its standard form
Answer:
$27,014.85
Step-by-step explanation:
We're gonna use the compound interest formula: P = A(1 + r/n)^nt
P = final amount
A = starting amount (10,000)
r = rate (0.05)
n = times applied (4 since it's quarterly)
t = years (20)
P = 10,000(1 + 0.05/4)^4*20
P = 10,000(1.0125)^80
P = 27,014.84940753337
Round it to just 27,014.85
Answer:
Step-by-step explanation:
The rules of exponents say ...
![\displaystyle\sqrt[a]{b^c}=b^{\frac{c}{a}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5Ba%5D%7Bb%5Ec%7D%3Db%5E%7B%5Cfrac%7Bc%7D%7Ba%7D%7D)
Here, you have a=3, b=8, c=x, so the alternate form is ...
