90The information that you'd need in determining sample size when the standard deviation is unknown is:
z-value for the given level of confidence ⇒ The level of confidence is 90% and the z-value by convention is 1.645
The margin error (E) = 4%
The proportion of the population that you'd expect to vote for Yi. If this information isn't provided, use 50%. We call this value, p, the probability of success.
The probability of not success is q = 1 - 0.5 = 0.5
STEP 1:
Half the margin error = 0.04 ÷ 2 = 0.02
STEP 2:
Multiply the probability of success by the probability of fail = 0.5 × 0.5 = 0.25
STEP 3:
Divide z-score by half of E = 1.645 ÷ 0.02 = 82.25
Then square the answer = 82.25² = 6765 rounded to the nearest integer)
STEP 4:
Multiply the answer from STEP 2 by the answer from STEP 4
0.25 × 6765 = 1691 (rounded to the nearest integer)
Answer: Minimum Sample Size is 1691
Answer:
The greatest value is "e"
Step-by-step explanation:
We have the following equations:
a. 1.31 a = f
b. 1.12b=f
c. 1.01c=f
d. 0.98d=f
e. 0.31e =f
Then solving for "a", "b", "c", "d" and "e" we have:
a. a = f /1.31
b. b=f/1.12
c. c=f /1.01
d. d=f / 0.98
e. e=f / 0.31
Now, given that in all the equations "f" represents the same number, the gratest value it's going to be the option in which "f" is divided by the smaller number.
The option in which f is divided by the less number is option e because, in this case, f is divided by 0.31.
Answer:
One-sixth d + one-eighth d = 1
Step-by-step explanation:
When they work together, their rates of completion add. They want to build one shed, so the number of sheds being built is ...
(Kaitlyn's sheds per day)×(days Kaitlyn works) +(Mark's sheds per day)×(days Mark works) = 1 shed
(1/6)d + (1/8)d = 1 . . . . matches the last choice
You have the separable differential equation
y' = 2y
with the boundary condition
y(0) = 2
It can be solved by integrating
∫(dy/y) = ∫(2dx)
ln(y) = 2x +c
The boundary condition tells you
ln(2) = 2·0 +c
so the constant is
c = ln(2)
and the equation is
ln(y) = 2x + ln(2)
Taking antilogs, we have
y = 2·e^(2x)
Answer:
AQ = 20 units
Step-by-step explanation:
I tried figuring in the pic below..
Similar triangles are triangles whose corresponding measures are proportional. All of their corresponding angles are also congruent. There are theorems and postulates that prove triangle similarity. Usually they requrie at least three parts of each triangle. The symbol for similarity is ~.
We have two triangles in the figure. ΔAQR and ΔABC. We will prove first that they are similar.
