Answer:
The 95% confidence interval is (29.54 - 53.46}
Step-by-step explanation:
given data:

Se = 6.1
n = 755
a) best estimate 
b) at 95% confidence interval



at 95% confidence interval for [/tex]\mu[/tex]



The 95% confidence interval is (29.54 - 53.46}
The commutative property of multiplication.
Answer:∠1 and ∠5
Step-by-step explanation:
(A) ∠3 and ∠6 forms the interior angles on the same side of the transversal. Thus, this option is incorrect.
(B) ∠1 and ∠4 forms the linear pair on the straight line a, thus this option is incorrect.
(C) ∠1 and ∠5 forms the corresponding angle pair, thus this option is correct.
(D) ∠6 and ∠7 forms the linear pair on the straight line a, thus this option is incorrect.
Answer:
43-7i
Step-by-step explanation:
We are given the expression:

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.
![\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)} \\ \displaystyle \large{[18i + 21 - 24 {i}^{2} - 28i]- (2 - 3i)}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%5B%283%20%5Ccdot%206i%29%20%2B%20%283%20%5Ccdot%207%29%20%2B%20%28%20-%204i%20%5Ccdot%206i%29%20%2B%20%28%20-%204i%20%5Ccdot%207%29%5D-%20%282%20-%203i%29%7D%20%20%5C%5C%20%20%5Cdisplaystyle%20%5Clarge%7B%5B18i%20%2B%2021%20%20-%2024%20%7Bi%7D%5E%7B2%7D%20%20-%2028i%5D-%20%282%20-%203i%29%7D%20)
Now combine like terms.
![\displaystyle \large{[ - 10i+ 21 - 24 {i}^{2} ]- (2 - 3i)}](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2021%20%20-%2024%20%7Bi%7D%5E%7B2%7D%20%5D-%20%282%20-%203i%29%7D%20)
<u>I</u><u>m</u><u>a</u><u>g</u><u>i</u><u>n</u><u>a</u><u>r</u><u>y</u><u> </u><u>U</u><u>n</u><u>i</u><u>t</u>

Therefore:-
![\displaystyle \large{[ - 10i+ 21 - 24 ( - 1) ]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 21 + 24]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2021%20%20-%2024%20%20%28%20-%201%29%20%5D-%20%282%20-%203i%29%7D%20%20%5C%5C%20%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2021%20%20%20%2B%2024%5D-%20%282%20-%203i%29%7D%20%20%5C%5C%20%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2045%5D-%20%282%20-%203i%29%7D%20)
Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.

Combine like terms.
