Answer:
3
Step-by-step explanation:
first term a= 2
last term tn= 32
common ratio r= -2
number of terms
= tn=ar^n-1
32 = 2*(-2)^n-1
divide both sides by 2
32/2 = 2*(-2)^n-1/2
16 = (-2)^n-1
Then...use 16 in the power of 2
(-2)^4 = (-2)^n-1
The bases (-2), cancels out
so we have: 4 = n-1
collect like terms
4-1 = n
3 = n
n= 3
Answer:
the answer I got is a=-the sign and but 2b under it +7
Answer:
Company B
Step-by-step explanation:
We would use z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8
let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4
z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897 = -2.76
z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765 = 2.35
Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a z score of 2.35 compared to company A with a z score of -2.76.
So, either x or y axis is the same for that intersect point
Answer: 3p² + q² - 5pq - 10 < 0
<u>Step-by-step explanation:</u>
p² - q² + 2pq < -2p² - 2q² + 7pq + 10
since you didn't specify what to solve for, move everything from the right side to the left side of the inequality symbol using inverse operations.
(p² + 2p²) + (- q² + 2q²) + (2pq - 7pq) + (- 10) < 0
3p² + q² + -5pq + -10 < 0
3p² + q² - 5pq - 10 < 0
