Answer:
Area of the parallelogram is 99 inch²
Step-by-step explanation:
We are given that,
Base of the parallelogram = 11 inches
Height of the parallelogram = 9 inches
Since, we know,
Area of a parallelogram = Base × Height
So, we get,
Area of the parallelogram = 11 × 9 = 99 inch²
Hence, the area of the parallelogram is 99 inch².
Answer:
17) 750/9 and 18) 364
Step-by-step explanation:
17. Summation of 75*(0.1)^i from i=0 to infinity, that is equal to 75*(Summation of (0.1)^i). Summation of (0.1)^I is a geometric series with a sum of 1/(0.9)=10/9. Hence the series have a sum equal to 75*(10/9)=750/9
18) It's a series with sum=1+3+9+27+81+243=364
Answer: 0.2643
Step-by-step explanation:
Let p be the population proportion and
be the sample proportion .
As per given question , we have

z-score : 

The required probability ( using z-table ):-

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643
C 28 degrees that might be the answer
Answer:
Step-by-step explanation:
The first term of the given sequence is a(1) = 64. Each succeeding term is found by multiplying the present one by (-3/4), and so (-3/4) is the common ratio. Then the geometric sequence represented here is
a(n) = a(1)*(-3/4)^(n - 1), or, specifically,
a(n) = 64*(-3/4)^(n - 1)
Alternatively: a(n) = a(n - 1)*(-3/4). or a(n) = (-3/4)a(n - 1)