Answer:
Here's what I got. First of all, did you meant y=mx+b+mx+mxy+mx=b, because that's undefined, or did you meant y=mx+b+mx+mx, which is b=−3mx+y.
Answer:
x = 6 and the +4x is wrong
Step-by-step explanation:
2x + 4x + 4 = 4(x + 4)
6x + 4 = 4x + 16
+4x +4x <--( <u>This part is wrong</u> )
10x + 4 = 16
-4 -4
10x = 12
10 10
x = 1.2
Correct steps
2x + 4x + 4 = 4(x + 4)
6x + 4 = 4x + 16
-4x -4x
2x + 4 = 16
-4 -4
2x = 12
2 2
x = 6
Answer:
<h2>
11.2≤
12.8 </h2>
Step-by-step explanation:
Confidence interval for the population mean is expressed by the formula;
CI = xbar ± Z(S/√n) where;
xbar is the sample mean = 12.5
Z is the z score at 99% confidence = 2.576
S is the standard deviation = √variance
S = √2.4 = 1.5492
n is the sample size = 25
Substituting the given values into the formula given above,
CI = 12.5 ± 2.576(1.5492/√25)
CI = 12.5 ± 2.576(0.30984)
CI = 12.5 ± 0.7981
CI = (12.5-0.7981, 12.5+0.7981)
CI = (11.2019, 12.7981)
Hence the 99% confidence interval for the population mean is 11.2≤12.8 (to 1 decimal place)
Answer:
The total surface area of the cube, including the bottom is
22 m squared.
Step-by-step explanation:
a) Data and Calculations:
Side length = 3 m
Side height = 2 m
Side width = 1 m
The total surface area of the cube, including the bottom is given by the formula, 2lw+2lh+2hw), where l = length, w = width, and h = height.
This can also be rewritten as:
2(l*w + l*h + h*w)
= 2 (3*1 + 3*2 + 2*1)
= 2 (3 + 6 + 2)
= 2 (11)
= 22
b) Ernst should know that the surface area of a cube is the sum of the areas of all faces (or surfaces) because it is a 3D shape. Since the cuboid has 6 rectangular faces, Ernest can determine the surface area by adding the areas of all 6 faces or surfaces. Similarly, he can label the length as (l), width as (w), and height as (h) and use the formula, SA=2lw+2lh+2hw, to find the surface area. This formula can also be rewritten as 2(l*w + l*h + h*w).
