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..............
Answer:
2 11/12 mixed number
Step-by-step explanation:
4 + s = 9
9 - s = 4
These should be the two ways to solve.
Well since the whole (1 pint) is 16 fluid ounces (fl oz) and we only have 7 fl oz, the fraction is 7 over 16; 7/16. This fraction can't be simplified, so 7/16 is in simplest form.
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Answer:
hope this help good luck
Step-by-step explanation:
a. H0: μ = 26.6
b. Ha: μ > 26.6
c. Let x = the mean age for online students at De Anza College.
d. Student’s t-distribution
e. 9.98
f. p-value = 0.0000
g. Check student’s solution.
h. i. Alpha: 0.01
ii. Decision: Reject the null hypothesis.
iii. Reason for decision: The p-value is less than 0.01.
iv. There is sufficient evidence to conclude that the mean age of online students at De Anza College is greater than 26.6 years.i. (28.8, 30.0)
