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
weqwewe [10]
2 years ago
13

A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $11 the average attendence has been 290

00. When the price dropped to $9, the average attendence rose to 34000. Assume that attendence is linearly related to ticket price.
Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
3 0

Answer:

y=-2500x+56500

Step-by-step explanation:

We need to write expression of the attendance in terms of the price of the tickets.  We can determine the percentage increase of the attendance by decreasing the tickets price. We can have two points:

(11,29000) and (9,34000)

We have calculate the slope:

m=(34000-29000)/(9-11)=-2500

Substitute point into:

y=mx+c

29000=-2500(11)+c

c=56500

The equation is:

y=-2500x+56500

where x is the ticket price and y is the attendance.

You might be interested in
The summer monsoon brings 80% of India's rainfall and is essential for the country's agriculture.
Natasha_Volkova [10]

Answer:

Step 1. Between 688 and 1016mm. Step 2. Less than 688mm.

Step-by-step explanation:

The <em>68-95-99.7 rule </em>roughly states that in a <em>normal distribution</em> 68%, 95% and 99.7% of the values lie within one, two and three standard deviation(s) around the mean. The z-scores <em>represent values from the mean</em> in a <em>standard normal distribution</em>, and they are transformed values from which we can obtain any probability for any normal distribution. This transformation is as follows:

\\ z = \frac{x - \mu}{\sigma} (1)

\\ \mu\;is\;the\;population\;mean

\\ \sigma\;is\;the\;population\;standard\;deviation

And <em>x</em> is any value which can be transformed to a z-value.

Then, z = 1 and z = -1 represent values for <em>one standard deviation</em> above and below the mean, respectively; values of z = 2 and z =-2, represent values for two standard deviations above and below the mean, respectively and so on.

Because of the 68-95-99.7 rule, we know that approximately 95% of the values for a normal distribution lie between z = -2 and z = 2, that is, two standard deviations below and above the mean as remarked before.

<h3>Step 1: Between what values do the monsoon rains fall in 95% of all years?</h3>

Having all this information above and using equation (1):

\\ z = \frac{x - \mu}{\sigma}  

For z = -2:

\\ -2 = \frac{x - 852}{82}

\\ -2*82 + 852 = x

\\ x_{below} = 688mm

For z = 2:

\\ 2 = \frac{x - 852}{82}

\\ 2*82 = x - 852

\\ 2*82 + 852 = x

\\ x_{above} = 1016mm

Thus, the values for the monsoon rains fall between 688mm and 1016mm for approximately 95% of all years.

<h3>Step 2: How small are the monsoon rains in the driest 2.5% of all years?</h3>

The <em>driest of all years</em> means those with small monsoon rains compare to those with high values for precipitations. The smallest values are below the mean and at the left part of the normal distribution.

As you can see, in the previous question we found that about 95% of the values are between 688mm and 1016mm. The rest of the values represent 5% of the total area of the normal distribution. But, since the normal distribution is <em>symmetrical</em>, one half of the 5% (2.5%) of the remaining values are below the mean, and the other half of the 5% (2.5%) of the remaining values are above the mean. Those represent the smallest 2.5% and the greatest 2.5% values for the normally distributed data corresponding to the monsoon rains.

As a consequence, the value <em>x </em>for the smallest 2.5% of the data is precisely the same at z = -2 (a distance of two standard deviations from the mean), since the symmetry of the normal distribution permits that from the remaining 5%, half of them lie below the mean and the other half above the mean (as we explained in the previous paragraph). We already know that this value is <em>x</em> = 688mm and the smallest monsoons rains of all year are <em>less than this value of x = </em><em>688mm</em>, representing the smallest 2.5% of values of the normally distributed data.

The graph below shows these values. The shaded area are 95% of the values, and below 688mm lie the 2.5% of the smallest values.

3 0
3 years ago
Simplify these expressions
Xelga [282]
\frac{10a}{2} \\ \\ 5a \\ \\

The answer is: 5a

-----------

\frac{36b}{6b} \\ \\  \frac{36}{6} \\ \\ 6 \\ \\

The answer is: 6

------------

\frac{16c^2}{8c} \\ \\ 2c^{2-1} \\ \\ 2c^1 \\ \\ 2c \\ \\

The answer is: 2c

------------

\frac{18ab^2}{2b} \\ \\ 9ab^{2-1} \\ \\ 9ab^1 \\ \\ 9ab \\ \\

The answer is: 9ab

------------

\frac{40b^2c^2}{5bc} \\ \\ 8b^{2-1} c^{2-1} \\ \\ 8b^1c^1 \\ \\ 8bc^1 \\ \\ 8bc \\ \\

The answer is: 8bc

-----------

\frac{63ab^2c^3}{7b^2c^2} \\ \\  \frac{63ac^3}{7c^2} \\ \\ 9ac^{3-2} \\ \\ 9ac^1 \\ \\ 9ac \\ \\

The answer is: 9ac
6 0
3 years ago
4(x−2+y)<br> It's for khan academy
inessss [21]
The answer is 4x-8+4y i think?
4 0
2 years ago
HELP PLEASE!!!!!!!!!!!!
Serggg [28]
C = total cents
C = 30 + n
I think that's it. Hope it helps you.
8 0
2 years ago
What is the integer closest to the square root of 17
Alex Ar [27]

Answer:

4

Step-by-step explanation:

\sqrt{16} = 4

7 0
3 years ago
Read 2 more answers
Other questions:
  • Someone help me with this lol
    10·2 answers
  • What is the nth term of the quadratic sequence 7 , 14 , 23 , 34 , 47 , 62 , 79?
    13·2 answers
  • 9. Jady got a job at Yogurt land. She makes $17 per hour as a store manager. On Friday she worked 6 hours, on Sunday
    9·1 answer
  • PLEASE HURRY! ILL GIVE BRAINLEIST!
    7·1 answer
  • Does dose anyone know how to solve this?
    15·1 answer
  • Need to find shaded area of figure please help!
    11·1 answer
  • A rowing team rowed 120 kilometers while going with the current in the same amount of time as it took to row 20 kilometers going
    8·2 answers
  • Need help Urgent !!!!<br> Answer the question on the image.
    6·1 answer
  • A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted o
    15·1 answer
  • Which decimal is equivalent to {26}{9}
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!