<span>Given the two end of the diameter of the circle, we are able to compute the center of the circle as 0.5*[(-1,3)+(7,-7)]=(3,-2). The radius of the circle is 0.5*sqrt[(-1-7)^2+(3+7)^2]=sqrt(41). Therefore the equation of the circle is (x-3)^2+(y+2)^2=41.</span>
The horizontal distance between light house and boat is 1588.78 feet approximately.
The figure is given by,
Here, AB = height of the lighthouse bacon light above the water = 139 feet
Now angle ACB = 5 degree
Let the horizontal distance of light house from the boat = BC = x feet
So by trigonometric function we get,
tan 5 = AB/BC
tan 5 = 139/x
x = 139/tan 5 = 1588.78 (approximately)
Hence the horizontal distance between light house and boat is 1588.78 feet approximately.
To know more about Trigonometric Function refer to:
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Altho' I can easily guess what you're supposed to do here, I must point out that you haven't included the instructions for this problem.
I'll help you by example. Let's look at the first problem:
"Evaluate 6(z-1) at z-4."
Due to "order of operations" rules, we must do the work inside the parentheses FIRST. Replace the z inside (z-1) with "-4". We obtain
6(-4-1) = 6(-5) = -30 (answer.)
Your turn. Try the next one. If it's unclear, as questions.
Answer:
8
Step-by-step explanation:
2^3 is the same as 2 x 2 x 2
2 x 2 is 4 and 4 x 2 is 8
so 2^3 is 8
Answer:
Z=11.0
Step-by-step explanation:
Let Caucasian individuals be the population 1 and African American be the population 2. So, we are given that
n=150
n1=75
mean1=xbar1=6.1.
standard deviation1=S.D1=σ1=1.1.
Variance1=V(x1)=σ1²=1.1²=1.21.
n2=75.
mean2=xbar2=4.3.
standard deviation2=S.D2=σ2=0.9.
Variance2=V(x2)=σ2²=0.9²=0.81.
The z-statistic is





Z=10.97
Z=11.0
So, the z value obtained while calculating the test statistic is approximately 11.0.