Answer:
Step-by-step explanation:
Units = 30
Thousands = 2,000
Hundreds of Thousands = 400,000
Tens = 60
Hundreds = 100
HTHHTU
400,000
2,000
100
60
<u> 30</u>
<u>402,190</u>
Correlation coefficient (r) = [nΣxy - (Σx)(Σy)] / [sqrt(nΣx^2 - (Σx)^2)sqrt(nΣy^2 - (Σy)^2)]
Σx = 21 => (Σx)^2 = 21^2 = 441
Σy = 671 => (Σy)^2 = 671^2 = 450,241
Σx^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
Σy^2 = 98^2 + 101^2 + 109^2 + 117^2 + 119^2 + 127^2 = 75,665
Σxy = 1(98) + 2(101) + 3(109) + 4(117) + 5(119) + 6(127) = 2,452
r = [6(2,452) - 21(671)] / [sqrt(6(91) - 441)sqrt(6(75,665) - 450,241)] = 621/sqrt(105)sqrt(3749) = 0.99
option b is the correct answer.
In order to get the total price, we can multiply the 4 dollars by .05 to find 5 percent of the object's cost and add it to the sales tax. So, .05 times 4 is 0.2, meaning there is a sales tax of 0.2 dollars. We add that to the four, so the total price is 4.20 dollars. Hope this helps.
Call the point of attachment at the top of the building point T. (Angle T = 25°) The angle N = 180° -32° -25° = 123°. The Law of Sines tells you the relationship ...
... TM/sin(N) = MN/sin(T)
... MN = TM·sin(T)/sin(N) = (200 ft)·sin(25°)/sin(123°)
... MN ≈ 100.8 ft
She made a mistake when she subtracted x1 from x2.
Step-by-step explanation:
Step 1 :
a)
The formula used by Lorena to calculate the slope between 2 points is correct
So the statement given in option 1 is not the reason for her mistake
Step 2:
b)
She has taken the fourth and fifth point and correctly used the x and y co ordinates to calculate the slope
Hence the statement in second option is not true
Step 3:
c)
While calculating the slope the denominator is -2 - (-4) . This gives 2 as the answer. But she has made a mistake in this subtraction giving -6 as the answer.
Hence she has made a mistake in subtracting x1 from x2 and this statement is true
Step 4:
d)
She has not made any mistake in subtracting y1 from y2. Hence this statement is not true
