Answer:
A) 10, 013/6
Step-by-step explanation:
The given arithmetic sequence {an } = {5/6 n + 2/3}
We need to find the 62th term, so plug in n = 62 in the above sequence, we get
S62 = {
= {310/6 + 2/3}
= {155/3 + 2/3}
= (155 + 2)/3
S62 = 157/3
Now let's find the first term.
S1 = [5/6 (1) + 2/3]
S1 = [5/6 + 2/3]
S1 = (5 + 4)/6
S1 = 9/6
s1 = 3/2
The sum of the terms S62 = 62(3/2 + 157/3) divided by 2
= 31(9 + 314)/6
= 31(323)/6
= 10, 013/6
So the answer is A)10,013/6
Thank you.
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
- In the parallelogram, every two opposite sides are equal in lengths
In the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21
Answer: 31,536,000
Step-by-step explanation:
Answer:
hi can u help me on my acc? its with math. sorry that i cnt help
Step-by-step explanation:
assuming mean=0 and sd = 1; you want to find the z-score that corresponds to the first 20% of the graph.
The z-score is found in my "z-table" by subtracting 20% from 50% to obtain the distance away from the mean value.
When I look at the z-table in the back of the book, I want to find a number in the middle of the table that is closest to ".3000" (50% - 20% = 30%)
The closest value I find in the field is: .2995. I follow this out to the left (.8) and up to the top (.04) to get the numbers for the z-score: left+top. z-score = .84
This has to be evaluated for its placement. If the z-score is to the left of the mean; we negate it; if its to the right of the mean, we keep it a positive value.
20% is less than 50% so its to the left of our mean: z-score = -.84