Increases by 3 each time
aritmetic sequence, firsrt term is 34, 3=common differnce
an=a1+d(n-1) is da formlua
a1=first term
d=common differnce
an=34+3(n-1)
so 32n'd term is
a32=34+3(32-1)
a32=34+3(31)
a32=34+93
a32=127
the 32nd term is 127
4 times 1 = 4
and 7 times 8 = 56
so 4/56 is your answer. Your teacher prolly wants you to simplify that answer.
Answer:
d
Step-by-step explanation:
Answer:


Then we can find the probability of interest with this difference:
And using the normal standard distribution or excel we got:
So then the probability that the sample mean would differ from the true mean by less than 28 dollars from the sample of 55 is approximately 0.390
Step-by-step explanation:
We define the variable of interest as the per capita income and we know the following properties for this variable:
and
We want to find this probability:
We select a sample size of n=55 and we define the z score formula given by:

We can find the z score then for 20880 and 20936 and we got:


Then we can find the probability of interest with this difference:
And using the normal standard distribution or excel we got:
So then the probability that the sample mean would differ from the true mean by less than 28 dollars from the sample of 55 is approximately 0.390
Answer:
-2 - 24i
Step-by-step explanation:
a + bi + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i
a + bi + <u>7 + 5</u> - 3i + 9i + 13i = 10 - 5i
a + bi + 12 + 19i = 10 - 5i
a + bi = 10 - 5i - 12 - 9i
a + bi = 10 - 12 - 5i - 9i
a + bi = -2 - 24i