Let
a1=27
a2=40
a3=53
a4=66
a5=79
we know that
a2-a1=40-27=13-----> a2=a1+13
a3-a2=53-40=13-----> a3=a2+13
a4-a3=66-53=13-----> a4=a3+13
a5-a4=79-66=13----> a5=a4+13
therefore
the rule that can be used to find the next term in the sequence is
an=a(n-1)+13
the answer is the option
<span>an = an–1 + 13</span>
Answer:
5, 10, 15, 20, 25
Step-by-step explanation:
If you begin the pattern with 5 the first number will be 5. Adding 5 after this each time will you get you 10, 15, 20, and 25.
You mean, what is this number?
we can rephrase it like this: the sum of a number x and 8 is 15
which is:
x+8=15
we subtract 8 from both sides and we get
x=7
so the answer is 7.
Answer: the probability it will come up heads 25 or fewer times is 0.019
Step-by-step explanation:
Given that;
n = 50
p = 0.65
so, q = 1 - p = 0.35
np = 50 × 0.65 = 32.5 ≥ 10
nq = 50 × 0.35 = 17.5 ≥ 10
so, we need to use Normal Approximation for the Binomial Distribution
μ = np = 50 × 0.65 = 32.5
σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726
now, the probability that it will come up heads 25 or few times will be;
⇒ P( x≤25)
{using continuity correction}
⇒ P[ z < (25.5 - 32.5)/3.3726 ]
⇒ P[ z < -2.0755 ]
using z-table
= 0.01923 ≈ 0.019 { 3 decimal places}
Therefore the probability it will come up heads 25 or fewer times is 0.019