Answer:
a) 10
b) The $40+5 dollars for every ticket
c) See below
Step-by-step explanation:
a)
1. Let t=number of tickets
2. Writing an equation
Breaking even means that you earn the same amount of money for both.
40 +5t=70+2t
3. Solving the equation
40 +5t=70+2t
5t-2t=70-40
3t=30
t=10
So the answer to a) is 10.
b)
1. Using an equation
We already know that there are 2 equations for this problem. (40+5t, 70+2t)
So, we will substitute 20 for t.
40+5*20=40+100=140
70+2t=70+2*20=110
2. Comparing equations
140>110, so the first offer is better
C)
The owner lets you choose how you get paid because one option will be better for you, as some days you might not sell many tickets (so you will go with the $70+2 tickets), or some days you might sell many tickets (you will choose the $40+5 dollars/ticket).
Answer with Step-by-step explanation:
Since we have given
n = 16
a) Describe the sampling distribution for the sample mean.
The sampling distribution of the mean is the population's mean from where the items are sampled.
It would be 
b. What is the standard error?
c. For 90% confidence, what is the margin of error?
Degrees of freedom = v - 1= 16-1 = 15
Using t-table, 1.753 cuts 5% level of significance in each tail.
so, Margin of error would be
d. Based on the sample results, create the 90% confidence interval and interpret.
So, 90% confidence interval would be
(103.86,116.136)
By formula of surface area of cube
9514 1404 393
Answer:
3) y = √10
4) x = 5√2
Step-by-step explanation:
The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...
1 : 1 : √2
So, for some multiplier k, they can be made to match the sides in your triangles.
__
3) 1·k : 1·k : k√2 = √5 : √5 : y
Clearly, k = √5, so ...
y = (√5)(√2)
y = √10
__
4) k : k : k√2 = x : x : 10
k = 10/√2 = (5√2)/2
k = x = (5√2)/2
1. A and B are both solutions
2. B
3. C
I hope this helps!
