Answer:
0.1527
Step-by-step explanation:
Given that a researcher wishes to conduct a study of the color preferences of new car buyers.
Suppose that 50% of this population prefers the color red
15 buyers are randomly selected
Let X be the no of buyers who prefer red.
X has exactly two outcomes red or non red.
Also each buyer is independent of the other
Hence X is binomial with p = 0.5 and n = 15
Required prob =The probability that exactly three-fifths of the buyers would prefer red
= P(X=9)
= 
=
Answer:
35
Step-by-step explanation:
the pattern is +2 so the answer is 35
1 UK fl oz = 28,413 ml
2 UK fl oz = 56,826 ml
If 5ml contains 160mg
56,826fl oz contains X mg
________________________
56,826 X 160 = 9,092,160
9,092,160 / 5 = 1818,432mg acetaminophen needed
Let u = x.lnx, , w= x and t = lnx; w' =1 ; t' = 1/x
f(x) = e^(x.lnx) ; f(u) = e^(u); f'(u) = u'.e^(u)
let' find the derivative u' of u
u = w.t
u'= w't + t'w; u' = lnx + x/x = lnx+1
u' = x+1 and f'(u) = ln(x+1).e^(xlnx)
finally the derivative of f(x) =ln(x+1).e^(x.lnx) + 2x
In order to know what is the reasonable amount of tile for
Mandana to order, you have to divide the choices with the area of the floor and
deduct with 1 and multiply by 100. You have to assess if the answer you will
get will fall between 15% and 20% which is the goal of Mandana.
<span>a.
</span>131/116.9 = (1.1206 – 1) x 100 = 12.06%, this
does not fall between 15% and 20%
<span>b.
</span>138/116.9 = (1.1805 – 1) x 100 = 18.05%, this
fall between 15% and 20%
<span>c.
</span>133/116.9 = (1.1377 – 1) x 100 = 13.77%, this
does not fall between 15% and 20%
<span>d.
</span>141/116.9 = (1.2062 – 1) x 100 = 20.62%, this
does not fall between 15% and 20%
Therefore, the reasonable amount of tile for Madana to order
that is between 15% and 20% extra of the materials is 138 square feet.