1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
taurus [48]
3 years ago
13

Part A ) A concert was recently held at the civic auditorium. All 5000 tickets were sold.

Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0
  1. Total amount earned from the sale of 45$ reserved seats=  56,250$
  2. Total amount accruing from the sale of 35$ seats= 26,250$
  3. Total seats sold as general = 3000 seats
  4. Total amount accruing from sale of general admission seats= 60,000$
  5. Total amount garnered from sale of all the tickets= 1,42,500$

Step-by-step explanation:

Total number of seats available at the auditorium- 5000

A. 25% tickets= reserved seats

Total number of seats= 25*5000/100=1250 tickets

Cost of each seat- 45$

Total amount earned from the sale of reserved seats=  56,250$

B. 15% of the seat reserved at 35$ each

Total number of such seats reserved= 15*5000/100=750 seats

Total amount accruing from the sale of such seats= 26,250$

C. The remainder of the seats were sold as general seats

Total seats sold as general= 5000-(1250+750) = 3000 seats

D. Cost of each general admission= 20$

Total amount accruing from sale of general admission seats= Total seats*price of each

= 3000*20$= 60,000$

E. Total amount garnered from sale of all the tickets= 60,000$ + 56,250$ + 26250$

=1,42,500$

You might be interested in
Which expression is equivalent to 12X + 4X +20?
BabaBlast [244]

Answer:

12x + 4x + 20

4(3x + x + 5)

4(4x+5)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 6 meters 6 meters​? Us
alisha [4.7K]
To find the volume of a cone, you use the formula \pi  r^{2}  \frac{h}{3}.
Radius squared would be 36 in our case and 36 times 3.14 is 113.04. 6 thirds is  also two, so multiply that by two and you would get 113.04 x 2 = 226.08. So, your answer would be 226.08 cubic meters of dirt.
7 0
3 years ago
Not sure on how to solve anymore.<br> A)43.92<br> B)41.45<br> C)68.87<br> D)33.1
Alenkasestr [34]
Sin (37°) = opposite side/Hypotenuse

sin (37°) =CV/55 →CV = 55.si  (37°)

CV = 55 x (0.601815)
CV= 33
3 0
3 years ago
Again ... Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S.
VladimirAG [237]

Answer:

We conclude that the mean commute time in the U.S. is less than half an hour.

Step-by-step explanation:

We are given that a random sample of 500 people from the 2000 U.S. Census is selected who reported a non-zero commute time.

In this sample the mean commute time is 27.6 minutes with a standard deviation of 19.6 minutes.

Let \mu = <u><em>mean commute time in the U.S..</em></u>

So, Null Hypothesis, H_0 : \mu \geq 30 minutes      {means that the mean commute time in the U.S. is more than or equal to half an hour}

Alternate Hypothesis, H_A : \mu < 30 minutes     {means that the mean commute time in the U.S. is less than half an hour}

The test statistics that would be used here <u>One-sample t-test statistics</u> as we don't know about population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean commute time = 27.6 minutes

            s = sample standard deviation = 19.6 minutes

            n = sample of people from the 2000 U.S. Census = 500

So, <u><em>the test statistics</em></u>  =  \frac{27.6 -30}{\frac{19.6}{\sqrt{500} } }  ~ t_4_9_9

                                       =  -2.738

The value of t test statistic is -2.738.

Since, in the question we are not given with the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical values of -1.645 at 499 degree of freedom for left-tailed test.</u>

Since our test statistic is less than the critical value of t as -2.378 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis.</u>

Therefore, we conclude that the mean commute time in the U.S. is less than half an hour.

4 0
3 years ago
Which of the following is the measure of
Nikitich [7]

39 degrees . .........

3 0
3 years ago
Other questions:
  • Is 5 feet greater than 60 inches
    13·2 answers
  • CAN SOMEONE PLEASE HELP
    15·1 answer
  • Jenny wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the int
    5·1 answer
  • What’s the volume of
    15·2 answers
  • the radius of a circular garden is 6 ft. if one foot of fencing cost 2.75 dollars, how much would you spend to completely surrou
    10·1 answer
  • If cos A = 1/2, then what is the positive value of cos 1/2 A, in simplest radical form with a rational denominator?
    10·1 answer
  • The circumference of the base of this cylinder is 6πcm. Find the volume of the cylinder.
    7·1 answer
  • Free pts! What is your favorite food?​
    14·1 answer
  • ellie is learning to play dungeons and dragons. She wants to purchase dice and gaming books. Gaming books cost 40$ each and sets
    14·1 answer
  • A math teacher has a large box of colored pencils for her students to use during class. Two-sevenths of pencils in the box are r
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!