Answer:
Correct choice is B
Step-by-step explanation:
For the numbers -1 and 59, find the difference 59-(-1):
since 59-(-1)=60 and
(two arithmetic means tells you there will be three intervals), two arithmetic means will be
The only correct sequence is -1, 19, 39, 59.
Answer:
12 machines
Step-by-step explanation:
The production rate per machine is 1240/20 = 62
For 1,984 printers it would take 32 machines (1984/62 = 32)
32 needed minus the 20 they already have means they need 12 more machines.
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
The probability of senior citizens suffer from sleep disorders is
![P(A)=0.91](https://tex.z-dn.net/?f=P%28A%29%3D0.91)
The probability of senior citizens suffer from anxiety is,0.09.
![P(B)=0.09](https://tex.z-dn.net/?f=P%28B%29%3D0.09)
The probability of seniors suffer from both sleep disorders and anxiety is,
![P(A\cap B)=0.06](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%29%3D0.06)
a. The probability that a senior citizen suffers from anxiety, given that he or she has a
sleep disorder.
![P(A|B)=\frac{P(A\cap B)}{P(B)}](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28B%29%7D)
![P(A|B)=\frac{0.06}{0.09}](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cfrac%7B0.06%7D%7B0.09%7D)