Answer:
14
f(x) = 7
-7^2 + 9(7)= -49 + 63 = 14
Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3
The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.
So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4
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In summary, the answer is
a1=3; an=an-1+4
which is choice B
The question that is asked is pretty straight forward. Only thing that needs to be found is the number of 30 in the number 600. By dividing 600 by 30 we can arrive at the desired result.
Number of 30 in 600 = 600/30
= 60/3
= 20
So there are 20 number of 30s in the number 600. This method can be used to find answers to several other similar kind of questions like the number of 10s in 1000.Following the same procedure we get
Number of 10 in 1000 = 1000/10
= 100
Answer:
a) 2.5 shots
b) 59.4 shots
c) 4.87 shots
Step-by-step explanation:
Probability of making the shot = 0.6
Probability of missing the shot = 0.4
a) The expected number of shots until the player misses is given by:

The expected number of shots until the first miss is 2.5
b) The expected number of shots made in 99 attempts is:

He is expected to make 59.4 shots
c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:

The standard deviation is 4.87 shots.
Let number of Adult ticket be x
and number of Child ticket be y
so
$282 = $24x + $18y.
:)