Answer:
The two numbers following 1,-2,3,-4,5... are -6 and 7.
Step-by-step explanation:
index: 1 2 3 4 5 ....
value: 1 -2 3 -4 5
Let the index be n. Then the first term is a(1), the secon is a(2), and so on.
a(2) = 2*(-1)^(2-1) = 2*(-1) = -2 (correct)
a(3) = 3*(-1)^(3-1) = 3*(-1)^2 = 3 (correct)
a(4) = 4*(-1)^(4-1) = 4*(-1)^3 = -4 (correct)
So the general formula for a(n) is: a(n)=n(-1)^(n-1)
Thus,
a(5) = 5(-1)^4 = 5
a(6) = 6(-1)^5 = -6
a(7) = 7(-1)^6 = 7
The "next two numbers in the pattern" are -6 and 7. The first 7 numbers are
1,-2,3,-4,5, -6, 7
Answer:
<u>The correct answer is A. -1.69</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Mean of the popping time of the kernels in a brand of microwave popcorn = 150 seconds
Standard deviation of the popping time of the kernels in a brand of microwave popcorn = 13 seconds
Time that first kernel pops = 128 seconds
2. What is the z-score of this kernel? Round your answer to two decimal places.
z-score = (Time that first kernel pops - Mean of the popping time)/Standard deviation of the popping time
Replacing with the real values, we have:
z-score = (128 - 150)/13
z-score = -22/13
<u>z-score = - 1.69</u>
<u>The correct answer is A. -1.69</u>
Answer:
should be alphabet (a)
Step-by-step explanation:
A Turning Point where a local maximum or local minimum happens.
The given function is ⇒⇒⇒ <span>y = x³ – 3x + 3
</span>
The graph of the given function is as shown in the attached figure.
So, The turning
points of function are (–1, 5) and (1, 1)
Answer: 352496
Step-by-step explanation:
First, to find 20% of 440,620, you can multiply:
0.2 x 440,620 = 88,124
Then, to find the new weight of the ship, you can subtract the 20% that was just found (88,124) from the ship's original weight (440,620) to get:
440,620 - 88,124 = 352,496
Therefore, the ship's weight is now 352496.
I hope this helps!