Answer:
The probability is 
, in which p is the probability of a success on a single trial.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The trial is repeated 30 times:
This means that 
Find the probability of 5 successes given the probability p of success on a single trial
This is 
. So
The probability is , in which p is the probability of a success on a single trial.
Answer:5) 58*
6) 87*
7) 72*
Step-by-step explanation:
5) right angle is 90* minus 32* so X= 58*
6) half is 180* minuses 61* then take another 32* from that which gives you 87*
7) another half so 180* minus 108* so p is 72*
70.17543859649122 percent change , rounded would be 70%, it is a 70% increase, as it goes to 57,000 to 97,000
Answer:
x^2\ 16 - y^2/9 = 1
step-by-step explanation:
soooo the equation for a hyperbola that is horizontal is x^2/a^2 - y^2/b^2 = 1
a hyperbola should always equal one so dont forget that when writing your equation becuase it is easy to forget.
it helps to graph this so you can see it better
to find a it is the distance from the center to the vertices which is 4 so in the equation you will write 16 becuase it is a^2
then you need to find b. to get b you have to figure out that c is the distance from the center to the foci which is 5 and it is all related to the plythagorm theorum becuase it forms a right triangle. so you do c^2 - a^2 = b^2
you get 9 for b^2 because 25-16=9 and so you put that in the equation
