Answer:
0.375
Step-by-step explanation:
The probability of having at least one girl out of 3 children can be calculated as;
P(1 girl, 2 boys) or P(2 girls, 1 boy) or P(3 girls)
Since the P(b) = P(g) = 1/2
Then the probability at any point in time is 1/2 * 1/2 * 1/2 = 1/8
So we have ;
1/8 + 1/8 + 1/8 = 3/8 = 0.375
A function is a special type of relation for which there is a rule that pairs each input with exactly one output.
Answer:
d. 21.5
Step-by-step explanation:
To find the missing side length of each triangle, use the pythagorean theorem. The theorem is 
where a, b, and c are all side lengths of the triangle. a is the smallest lef and b is the other leg while c is always the hypotenuse or longest side.
In d, you'll use it twice to find the missing measure. First use it when a = 12 and b = 20. So you'll have:
Repeat the same process using a = 9 and c = 23.32. Then solve for the b value.
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
9514 1404 393
Answer:
(c) Yes, because angle 3 and angle 6 are congruent
Step-by-step explanation:
Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.
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We expect angles 5 and 6 to be supplementary because they are a linear pair. That fact says nothing about the relationship of line d to line c.
