Answer: 208.
Step-by-step explanation:
The formula to find the minimum sample size is given by :-
(1)
, where z* = critical z-value (two tailed).
= Standard deviation ( from prior study ) and E = Margin of error.
As per given , we have
Margin of error : E= 0.29
Confidence level = 85%
Significance level =
Using z-table , the critical value (two -tailed)=
As per previous study , Variance =

Now, the required minimum sample size =
[Substitute the values in formula (1)]

[ Round to the next integer]
Hence, the minimum number of third graders that must be included in a sample = 208.
Answer:
50+(7d*13)+80+(9d*27)
Step-by-step explanation:
So, there are 13 food booths and each food booth is $50 plus $7 per day.
There are 27 game booths and each game booth is $80 plus $9 per day.
Lets make a short equation for each of the booths.
50+(7d*13)
80+(9d*27)
Lets combine both of the sentences.
50+(7d*13)+80+(9d*27)
So, my expression would be 50+(7d*13)+80+(9d*27).
Answer:
The coordinates of point k are (-2.8,-3)
Step-by-step explanation:
we shall use the internal division formula to find the coordinates of point k
Mathematically, the formula is as follows;
Let’s call the coordinates of point k (x,y)
(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)
From the question;
m = 1 , n = 4
x1 = 4, x2= -2
y1 = -7 , y2 = 13
Substituting these values in the equation, we have the following;
1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)
(-2+16)/5, (13 -28)/5
= -14/5, -15/5
= (-2.8, -3)
A. 70+1.25t
b. Plug in 650 for t
70+1.25(650)
70+812.5
882.5
Final answer: $882.50
34,600.
7 is higher than 4, so it rounds up.