Answer:
x = 17
Step-by-step explanation:
These are same side interior so they equal different measures. You would write the equation like this.
8x - 9 + 53 = 180 (collect like terms)
8x + 44 = 180 (minus 44 on both sides)
8x = 136 (divide by 8 on both sides)
x = 17
Hope this helps!!
Answer:
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.95}{2} = 0.025](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.95%7D%7B2%7D%20%3D%200.025)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.96](https://tex.z-dn.net/?f=z%20%3D%201.96)
Now, find M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
![M = 1.96*\frac{58.6}{\sqrt{267}} = 7.03](https://tex.z-dn.net/?f=M%20%3D%201.96%2A%5Cfrac%7B58.6%7D%7B%5Csqrt%7B267%7D%7D%20%3D%207.03)
The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.
The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
Answer:
Step-by-step explanation:
4-(3+1)^2-6/2+4
4-4^2-3+4
4-16-3+4
-12-3+4
-15+4
-11
-------------------------
7x^3+2x-5x^2+6+x+9+3x^3+12x^2
10x^3-5x^2+12x^2+2x+x+6+9
10x^3+7x^2+3x+15
-------------------------------
3x^2(4x^3-2x^2+7x-4)
12x^5-6x^4+21x^3-12x^2
--------------------------------------
6x^2+9x-7 when x=2
6(2)^2+9(2)-7
6(4)+18-7
24+18-7
42-7
35
------------------------------
3(x-y)^2+4y-6x+2
3(-1-3)^2+4(3)-6(-1)+2
3(-4)^2+12+6+2
3(16)+12+8
48+12+8
68
------------------------------
7x-5=23
7x=23+5
7x=28
x=28/7
x=4
---------------
7y-4+3y+6=9y+8
10y-4+6=9y+8
10y-9y+2=8
y+2=8
y=8-2=6
y=6
--------------------------
5(w-2)+6=3w-14
5w-10+6=3w-14
5w-4=3w-14
5w-3w-4=-14
2w-4=-14
2w=-14+4
2w=-10
w=-10/2
w=-5
----------------------
-4x+2<2x-6
-4x-2x+2<-6
-6x+2<-6
-6x<-6-2
-6x<-8
6x<8
x<8/6
x<4/3
x>4/3
A+B = 2X -2
A-B = 4X -8
Add the equations,
2A = 6X - 10
A = 3X - 5
Now, 3X - 5 + B = 2X - 2
B = 2X-3X - 2 + 5
B = 3 - X
Hope this helps!
(10 + a / 2, 2 + b / 2) = (8, 1)
10 + a / 2 = 8
10 + a = 16
a = 6
2 + b / 2 = 1
2 + b = 2
b = 0
so V(6, 0)