Answer:
18a(2bc + 3d)
Step-by-step explanation:
36abc + 54ad
Step 1: Find the Highest Common Factor of each
36abc = 2×2×3×3×a×b×c = 18a × 2bc
54ad = 2×3×3×3×a×d = 18a × 3d
HCF = 2×3×3×a = 18a
Step 2: Factor out with HCF
18a(2bc + 3d)
Today 30 pounds would get you $36.57 dollars
Answer:
Step-by-step explanation:
We are given the following in the question:
The organizers estimate that the variation in distance flown by the athletes will be σ = 10 meters.
This will be stated by the null hypothesis.
It was claimed that the organizers are underestimating the variation and the variation in distance is greater than 10.
This will be stated by the alternate hypothesis.
The parameter for the given hypothesis is standard deviation, 
.
Find the unit rate:
-1.2 tons
------------- = -0.15 ton/day, or -3/20 ton/day
8 days
B. y = 3x - 2
Step-by-step explanation:
A linear regression line is in form of Y=A+Bx where B is the slope of the line and A is the intercept when x=0
Form a table as shown
x y xy x² y²
1 4 4 1 16
2 1 2 4 1
3 5 15 9 25
4 10 40 16 100
5 16 80 25 256
6 19 114 36 361
7 15 105 49 225
28 70 360 140 984 ------sum
From the table;
n=7 ---number of data points
∑x = 28
∑y=70
∑xy =360
∑x² =140
∑y² = 984
Applying equations for A and B
A=(∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²
A=(70)(140) - (28)(360) / 7(140)-(28²)
A=9800 - 10080 / 980-784
A= -280 /196
A= -1.43
B= n(∑xy)-(∑x)(∑y) / n(∑x²)-(∑x)²
B=7(360)-(28)(70) / 7(140) - (28²)
B=2520-1960 /980-784
B=560/196
B=2.86
The equation will be;
Y=A+Bx
Y=-1.43+2.86x
Y=2.86x-1.43
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Regression line : brainly.com/question/12280902
Keywords : equations, regression line, data, table
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