Answer:
Step-by-step explanation:
8(1 + 2i) - (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)
= 8 + 16i -7 + 3i
= 8 - 7 + 16i + 3i
= 1 + 19i
Daniel forgot to multiply 2i by 8
Answer: 4
Step-by-step explanation:
For given Population standard deviation , the formula to sample size is given by :-
, where z* = Two-tailed critical value.
E = Margin of error.
Given : years
We know that , Critical value for 90% confidence interval : z* = 1.645
Margin of error : E=1.3 years
Then, the minimum sample size required to construct a 90% confidence interval for the population mean will be :-
[Rounded to the nearest whole number.]
Hence, the minimum sample size required = 4
Answer:
The true average weight of geese is less than or equal to 40 pounds
Step-by-step explanation:
The null hypothesis and the alternative hypothesis are two <u>mutually exclusive</u> statements or hypotheses that are made about a population. The purpose is to find out if, through a study of the data, sufficient evidence is obtained to reject one and accept another
The null hypothesis is denoted as and the alternative hypothesis as
As they are two mutually exclusive statements then if
: The true average weight of the geese is greater than 40 pounds
the alternative hypothesis must be the opposite of the null hypothesis
: The true average weight of geese is less than or equal to 40 pounds
The answer would be -5 because then you can do the opposite, 0+5 which would equal 5
Possible derivation:
d/da(4 - 8 a)
Differentiate the sum term by term and factor out constants:
= d/da(4) - 8 (d/da(a))
The derivative of 4 is zero:
= -8 (d/da(a)) + 0
Simplify the expression:
= -8 (d/da(a))
The derivative of a is 1:
= -8 1
Simplify the expression:
Answer: = -8