Answer:
45.712
Step-by-step explanation:
We need to find the Zscore of the area of 15 percent of the distribution ; using a Z table or calculator ;
Zscore of 15% of the distribution is : - 1.036
Using the Zscore formula :
Zscore = (x - mean) / standard deviation
Where, x = score
-1.036 = (x - 54) / 8
Cross multiply
-1.036 * 8 = x - 54
-1.288 = x - 54
x = - 8.288 + 54
x = 45.712
Answer:
VW=18
Step-by-step explanation:
UV+VW=UW
10+4x=6x+1
2x=9
x=9/2
VW=4x
VW=4*9/2
VW=18
9514 1404 393
Answer:
(a) 1.2b
(b) 1.4h
(c) A = 1.68bh
(d) 68%
Step-by-step explanation:
(a) If 20% of b is added to b, you have ...
b + 0.20b = 1.2b
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(b) Similarly, if 40% of h is added to h, you have ...
1.4h
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(c) The area of the new rectangle is the product of the new dimensions:
A = (1.2b)(1.4h)
A = 1.68bh
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(d) The original rectangle area is A = bh, so the percentage change can be computed as ...
(A'/A -1)×100% = ((1.68bh)/(bh) -1)×100% = (1.68 -1)×100% = 68%
The given increases in base and height increase the area by 68%.
Answer:
The constant in your equation is 3