<span>Based on hint and given formula, we can complete the problem. The question asks for square feet of grass so we know that we are solving for the area, A. It also tells us the height (looking downward) of the field is 75 ft,h, while the two bases are 125 ft and 81 ft (b1 and b2). So we can solve the equation.
A = 75((125+81)/2)
A = 75(206/2)
A = 75(103)
A = 7725
The area of the field is 7725 square feet.</span>
Answer:
let the polynomial be
f(x)=x³+2kx+2
is divided by
g(x)=x+2
hence
(x+2) is a factor of f(x)
so comparing with x-a we get a=-2
so
f(a)=0
f(-2)=(-2)³+2*-2*k+2
0=-8-4K+2
4k=-6
K=-6/4
k=-3/2
again
when divided by x+1
g(x)=x+1
hence
x+1 is a factor
so a=-1
f(-1)=-(1)³+2*-1*k+2
0=-1-2k+2
0=1-2k
k=1/2
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<u>and</u>
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Answer:
Step-by-step explanation:
I sample :
Sample size n1 = 60
Sample average = x bar = 5.2 minutes
STd deviation sample = s1 = 3.1 minutes
II sample:
n2 = 72
y bar = 6.1
s2 = 2.8 minutes
Mean difference = -0.9
Std error for difference =
t statistic = mean diff/se = -1.735
p value = 0.0848
Since p >0.05 we accept null hypothesis that there is no difference between the two averages
Conclusion:
a) We cannot conclude that the mean checkout time is less for people who use the self-service lane
b) NO, we cannot conclude that if everyone used the self-service lane, that the mean checkout time would decrease
Gradient of AB = y1-y2/x1-x2
= -3-0/1-1
= -3/0
gradient of AB = gradient of CD (as AB is parallel to CD)
therefore D = 3+y3/0+x3
= -3+2/0+4
= -1/4
since y/x of D = -1/4,
the coordinates of D is (4,-1) [option B]
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hope this helps! :)))