Answer:66
Step-by-step explanation:
By the binomial theorem we know that

The probability that exactly 5 of 8 support the incumbent is the term

So at least five of eight support is the sum of this term and beyond,

No particularly easy way of calculating that except popping it into Wolfram Alpha which reports

Shouldn't half the terms work out to .6 ? Interestingly it's not exactly .6 but pretty close at .594.
Answer:

Step-by-step explanation:
For a hyperbolic mirror the two foci are 42 cm apart.
The distance between the foci = 2c.
Therefore:
The distance of the vertex from one focus = 6 cm
The distance of the vertex from the other focus = 36 cm
2a=36-6=30
Now:

If the transverse axis lies on the y-axis, and the hyperbola is centered at the origin. Then the hyperbola has an equation of the form:

Therefore, the equation of the hyperbola is:

Answer:
x = 75
Step-by-step explanation:
The parallel lines FS and DY divide their transversals into proportional segments. That is ...
... x/50 = 63/42
Multiplying by 50 gives x:
... 63/42·50 = x = 75