Answer:
in all they will take 330 hours to make 11 tables
Step-by-step explanation:
multiple 5 x 6 x 11=330
An=a1(r)^(n-1)
an=5(-3)^(n-1)
so then each term is multiplied by -3
so
f(n)=-3(f(n-1))
and
f(n)=5
Answer:
Step-by-step explanation:
Given that each of 165 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be free of scratches), yielding the following data
x freq x*f x^2*f
0 25 0 0
1 34 34 34
2 37 74 148
3 29 87 261
4 19 76 304
5 8 40 200
6 8 48 288
7 5 35 245
165 394 1480
Mean 2.387878788 8.96969697
Variance 3.267731864
We get E(x) = 2.388 and hence unbiased estimator of mu is 2.388
b) Variance = 3.268
9514 1404 393
Answer:
Step-by-step explanation:
The conjugate is found by changing the sign of the square root term.‡ (For this purpose, i = √-1.)
a) the sign of 3i is changed: 2 + 3i
b) the sign of sqrt(-5) is changed: 8 -sqrt(-5) = 8 -i√5
c) the sign of 2i is changed: 7 +2i
d) the sign of sqrt(7) is changed: 4 +√7
_____
‡ Actually, the conjugate of a binomial is formed by changing the sign <em>between</em> terms. The purpose is to allow the product of the binomial and its conjugate to be the difference of squares.
Conventionally, the conjugate of a complex number is the value with the sign of the imaginary part reversed. That is why (-2i+7)* = 7+2i.
Answer:
D
Step-by-step explanation:
Given the quadratic
d = - 16t² + 12t ← subtract d from both sides
- 16t² + 12t - d = 0 ← in standard form
with a = - 16, b = 12, c = - d
Use the quadratic formula to solve for t
t = ( - 12 ± 
) / - 32
= ( - 12 ± 
) / - 32
= ( - 12 ± 
) / - 32
= ( - 12 ± 4
) / - 32
= 
± 
= 
± 
= ± 
→ D
