Answer:
The answer to your question is Area = 39.15 in²
Step-by-step explanation:
Data
See the picture below
Process
1.- Calculate the area of rectangle 1
Area = base x height
Area = (8.8)(6.55 - 4.3)
Area = (8.8)(2.25)
Area = 19.8 in²
2.- Calculate the area of rectangle 2
Area = (4.3)(2.25)
Area = 9.675 in²
3.- Calculate the area of rectangle 3
Area = (4.3)(2.25)
Area = 9.675 in²
4.- Calculate the total area
Area = 19.8 + 9.675 + 9.675
Area = 39.15 in²
Second way
Area 1 = 2[6.55 x 2.25]
Area 1 = 29.475 in²
Area 2 = (8.8 - 2.25 - 2.25)(6.55 - 4.3)
Area 2 = 4.3 x 2.25
Area 2 = 9.675 in²
Total area = 29.475 + 9.675
= 39.15 in²
Third way
Area 1 = (8.8 - 2.25)(6.55 - 4.3)
= (6.55)(2.25)
= 14.7375 in²
Area 2 = (4.3)(2.25)
= 9.675 in²
Area 3 = (6.55)(2.25)
= 14.7375 in²
Total area = 14.7375 + 9.675 + 14.7375
= 39.15 in²
The 76th term is 86.
<h3>What is sequence?</h3>
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.
Given:
2, 3, 5, 6, 7, 10, …
The sequence consists of all natural numbers which are neither perfect squares nor perfect cubes.
We can as well sum the number of squares and cubes in the range with the number of the required term i.e
Number of squares = 8 ( 4,9,16,25,36,49,64,81)
Number of cubes = 2 (8 and 27; excluding 64 which is as well a square)
Required term = 75
So, 8+2+75 = 85.
Hence, the 85th term counting from 2 ( i.e 86) is the 75th term.
Learn more about sequence here:
brainly.com/question/16614966
#SPJ1
Answer:
3216
Step-by-step explanation:
if the number to the right is greater than 5, it gets rounded up.
Answer:
64
Step-by-step explanation:
1
2
3
4
1, 2
1, 3
1, 4
2, 1
2, 3
2, 4
3, 1
3, 2
3, 4
4, 1
4, 2
4, 3
1, 2, 3
1, 2, 4
1, 3, 2
1, 3, 4
1, 4, 2
1, 4, 3
2, 1, 3
2, 1, 4
2, 3, 1
2, 3, 4
2, 4, 1
2, 4, 3
3, 1, 2
3, 1, 4
3, 2, 1
3, 2, 4
3, 4, 1
3, 4, 2
4, 1, 2
4, 1, 3
4, 2, 1
4, 2, 3
4, 3, 1
4, 3, 2
1, 2, 3, 4
1, 2, 4, 3
1, 3, 2, 4
1, 3, 4, 2
1, 4, 2, 3
1, 4, 3, 2
2, 1, 3, 4
2, 1, 4, 3
2, 3, 1, 4
2, 3, 4, 1
2, 4, 1, 3
2, 4, 3, 1
3, 1, 2, 4
3, 1, 4, 2
3, 2, 1, 4
3, 2, 4, 1
3, 4, 1, 2
3, 4, 2, 1
4, 1, 2, 3
4, 1, 3, 2
4, 2, 1, 3
4, 2, 3, 1
4, 3, 1, 2
4, 3, 2, 1
Answer:
2,655 students
Step-by-step explanation:
The z-score for a 99% confidence interval is z = 2.576
The standard error for a proportion p is:
For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:
Rounding up to the next whole student, the sample size needed is 2,655 students.
