I'm not quite sure but the first one I'm pretty sure....
+3,+5,+7,+9 so then +11,+13,+15,+17,+19
24+11=35 => 6th term
35+13=48 => 7th term
48+15=63 => 8th term
63+17=80 => 9th term
80+19=99 => 10th term
14,34,54,74,94
Each increases by 20...
94+20= 114
114+20= 134
134+20= 154
154+20= 174
174+20= 194
37,46,55,64,73
Each increasing by 9,
73+9= 82
82+9= 91
91+9= 100
100+9= 109
109+9= 118
Step-by-step explanation:
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn .
Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.
Answer:
8 + k² - 6 > 8(k + 2) - 4k when k = 7
Step-by-step explanation:
8 + k² - 6 = 8 + 7² - 6 = 51
8(k + 2) - 4k = 8(7 + 2) - 4(7) = 8(9) - 28 = 44
8 + k² - 6 > 8(k + 2) - 4k when k = 7
Answer:
The number is students
Step-by-step explanation:
From the question we are told that
The population mean is
The standard deviation is
The sample size is n = 2000
percentage of the would you expect to have a score between 250 and 305 is mathematically represented as
Generally
So
From the z table the value of
and
The percentage is
The number of students that will get this score is