Answer:
B
Step-by-step explanation:
Given
y = f(x), then
y = f(x ± a) is a horizontal translation of a units
• If f(x + a) then shift of a units left ←
• If f(x - a) then shift of a units right →
Answer:
The price was reduced by 25%
Step-by-step explanation:
Not sure how to go step by step on this, because it's kinda obvious once you think about it a bit. You need to find what percent of 40 that 10 equals (if that makes sense). So really it's just what percent of 40 equals 10? and since 10 is one fourth of forty, 1/4, then you convert that to percent: 25% (sorry if this made no sense, i'm not very good at explaining things)
Answer:
a) 48.408
b) 1.235
Step-by-step explanation:
a)
The average hardness value xbar can be computed as
xbar=sum of values/number of values
xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12
xbar=580.9/12
xbar=48.408 (rounded to 3 decimal places).
The average hardness value is 48.408.
b)
The standard deviation hardness value s can be computed as
x x-xbar (x-xbar)
²
46.5 -1.90833 3.64174
46.9 -1.50833 2.27507
49.4 0.99167 0.98340
50.3 1.89167 3.57840
49.8 1.39167 1.93674
48.8 0.39167 0.15340
47.0 -1.40833 1.98340
47.7 -0.70833 0.50174
48.3 -0.10833 0.01174
49.4 0.99167 0.98340
47.8 -0.60833 0.37007
49.0 0.59167 0.35007
Total 16.7692
s=1.235 (rounded to 3 decimal places)
The standard deviation hardness value is 1.235.
Answer:
70°
Step-by-step explanation:
The minor angle of AB forms a straight line with angle x. When summed up it equals 180°.
minor angle of AB + x° = 180°
110° + x° = 180°
x° = 180° - 110°
= 70°
Enjoy!!!
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
If Alex cut his wire 18 times, he ended up with 19 equal pieces. He kept 7, so has 7/19 of his 1/3 of the wire.
Bob cut his wire 20 times, so ended up with 21 pieces, of which he kept 9. So he has 9/21 = 3/7 of his 1/3 of the wire.
Claudia kept 1/13 of her 1/3 of the wire, so has the smallest piece.
Bob kept (3/7)·(1/3)·126 cm = 18 cm.
Alex kept (7/19)·(1/3)·126 cm ≈ 15.47 cm.
Bob kept the longest part of the original wire.
