Two plane mirrors intersect at right angles. a laser beam strikes the first of them at a point 11.5 cm from their point of inter
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Answer:
a) P(x) = 0.67
b) P(y) = 0.67
c) P(x=4) = 0.3325
d) P( x = 0 ) = 0.0039
e) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent
Step-by-step explanation:
A) The probability that the stock market will rise next year = P(x) = 0.67
assuming next year to be X
B) Probability that the stock market will rise the year after next year
= P(y) = 0.67 and this is because the probability is independent of that of the previous years
C) Probability that the stock market will rise in four of the next five years
= P(x=4) = 0.3325
D) probability that the stock market will rise in none of the next five years
= P( x = 0 ) = 0.0039
E) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent
Answer:
It descends 3 km.
Step-by-step explanation:
The rate of change is the slope. The formula for slope is
Using the first two points, (0, 12) and (2, 10), we have
m = (10-12)/(2-0) = -2/2 = -1
This means the plane descends 1 km per minute. This means in 3 minutes' time, the plane descends 3 km.
Answer:
or
Step-by-step explanation:
This is factorable.
The leading coefficient is 1.
Since this is a quadratic all we have to do is find two numbers that multiply to be c and add up to be b to factor the expression that is to the left of the equal sign.
By the way a quadratic expression looks like .
So we want to find two numbers that multiply to be -6 and add up to be -1.
Those numbers are -3 and 2 since (-3)(2)=-6 and -3+2=-1.
So the factored form is:
.
Since we have a product is zero then at least one of the factors need to be zero in order for the equation to hold.
So this means we have the following two equations to solve:
or
First equation we will add 3 on both sides.
Second equation we will subtract 2 on both sides.
or