Answer:
Step-by-step explanation:
We are told that n = 3m + 6. Substitutte 3m + 6 for n in the second equation, obtaining:
(3m + 6) - 2m = 2, or 3m + 6 - 2m = 2.
Combining like terms yields
m = -4.
Knowing that m = -4 allows us to calculate n. Use the first equation, n = 3m + 6, for this purpose: n = 3(2) + 6 = 12.
Thus, the solution is (2, 12).
9. X=7. 7-8=-1
8. X=18. 18-7=11
P(-2.57 ≤ Z ≤ 1.27) = P(Z ≤ 1.27) - P(Z ≤ -2.57)
P(Z ≤ 1.27) = 0.8980
P(Z ≤ -2.57) = 1 - P(Z ≤ 2.57) = 1 - 0.99488 = 0.00512
P(-2.57 ≤ Z ≤ 1.27) = 0.8980 - 0.00512 = 0.89288
0.8929 (4 d.p.)
1. Two consecutive integers means that the values are whole numbers and they are located right after the other (eg. 2, 3).
Now, let us call the smaller value x. The consecutive value will be one greater than x, thus the larger value may be written as x + 1.
2. We know that the product of the two values is 420. Given that the smaller value is x and the larger value is x + 1, we can write this as:
x(x + 1) = 420
3. Now we can expand to get:
x^(2) + x = 420
4. Now subtract 420 from both sides to get:
x^(2) + x - 420 = 0
Therefor, the constant of the quadratic expression is -420.
Answer:
Rounded to the nearest hundredth, the answer is 10.67.
Step-by-step explanation:
To obtain this answer, you have to take the summation from n=1 to n=10 of 
by plugging in n=1 into the equation, then n=2, so on and so forth, all the way up to n=10, and adding those all together. Done by hand, this would look like:
