answer.
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
qaws [65]
2 years ago
12

The price of a movie ticket in a given year can be modeled by the regression equation y = 6.94(1.02x), where y is the ticket pri

ce and x is the year. To the nearest cent, which is the best prediction of the price of a ticket in year 25? (Year 1 = 2007)
Mathematics
2 answers:
topjm [15]2 years ago
5 0

Answer:

11.38.

Step-by-step explanation:

Given :The price of a movie ticket in a given year can be modeled by the regression equation y = 6.94(1.02^x), where y is the ticket price and x is the year.

To Find: . To the nearest cent, which is the best prediction of the price of a ticket in year 25?

Solution:

y = 6.94(1.02^x)

Where y is the ticket price and x is the year.

Now we are supposed to find which is the best prediction of the price of a ticket in year 25

Substitute x = 25 in the given equation.

y = 6.94(1.02^{25})

y =11.38580

Thus the best prediction of the price of a ticket in year 25 is 11.38.

Whitepunk [10]2 years ago
4 0
I would say that the price would be 176.97.
You might be interested in
Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be wo
Katena32 [7]

Answer:

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

Step-by-step explanation:

Let

t ------> is the number of minutes he spends on each scale

Remember that the phrase "at least"  is equal to "greater than or equal"

so

The inequality that represent this scenario is

70-5t \geq 55

solve for t

-5t \geq 55-70

-5t \geq -15

Multiply by -1 both sides

5t \leq 15

Divide by 5 both sides

t \leq 3

Sven is incorrect

He should spend 3 minutes or less on each scale

Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal

5 0
2 years ago
A small city has three automobile dealerships: a GM dealer selling Chevrolets and Buicks; a Ford dealer selling Fords and Lincol
9966 [12]

Answer:

Event A = { Chevrolet , Buick }

Event B = { Ford , Lincoln }

Event C = { Toyota }

Step-by-step explanation:

- Mutually exclusive events are such that their probability of coming true simultaneously is zero. If we consider set notations we could say.

                             P (A & B) = P (B & C) = P (A & C) = 0

- In our case these events A,B, and C can be defined as:

Answer:

Event A = { Chevrolet , Buick }

Event B = { Ford , Lincoln }

Event C = { Toyota }

4 0
2 years ago
Suppose babies born in a large hospital have a mean weight of 3316 grams, and a standard deviation of 324 grams. If 83 babies ar
Anuta_ua [19.1K]

Answer: 0.129

Step-by-step explanation:

Let \overline{X} denotes a random variable that represents the mean weight of babies born.

Population mean : \mu= \text{3316 grams,}

Standard deviation: \text{324 grams}

Sample size = 83

Now, the probability that the mean weight of the sample babies would differ from the population mean by greater than 54 grams will be :

P(|\mu-\overline{X}|>54)=1-P(\dfrac{-54}{\dfrac{324}{\sqrt{83}}}

hence, the required probability =  0.129

5 0
2 years ago
G identify the solution of the recurrence relation an = 6an − 1 – 8an − 2 for n ≥ 2 together with the initial conditions a0 = 4,
maksim [4K]
Via the generating function method, let

G(x)=\displaystyle\sum_{n\ge0}a_nx^n

Then take the recurrence,

a_n=6a_{n-1}-8a_{n-2}

multiply everything by x^n and sum over all n\ge2:

\displaystyle\sum_{n\ge2}a_nx^n=6\sum_{n\ge2}a_{n-1}x^n-8\sum_{n\ge2}a_{n-2}x^n

Re-index the sums or add/remove terms as needed in order to be able to express them in terms of G(x):

\displaystyle\sum_{n\ge2}a_nx^n=\sum_{n\ge0}a_nx^n-(a_0-a_1x)=G(x)-4-10x

\displaystyle\sum_{n\ge2}a_{n-1}x^n=\sum_{n\ge1}a_nx^{n+1}=x\sum_{n\ge1}a_nx^n=x\left(G(x)-a_0\right)=x(G(x)-4)

\displaystyle\sum_{n\ge2}a_{n-2}x^n=\sum_{n\ge0}a_nx^{n+2}=x^2\sum_{n\ge0}a_nx^n=x^2G(x)

So the recurrence relation is transformed to

G(x)-4-10x=6x(G(x)-4)-8x^2G(x)
(1-6x+8x^2)G(x)=4-14x
G(x)=\dfrac{4-14x}{1-6x+8x^2}=\dfrac{4-14x}{(1-4x)(1-2x)}=\dfrac1{1-4x}+\dfrac3{1-2x}

For appropriate values of x, we can express the RHS in terms of geometric power series:

G(x)=\displaystyle\sum_{n\ge0}(4x)^n+3\sum_{n\ge0}(2x)^n=\sum_{n\ge0}\bigg(4^n+3\cdot2^n\bigg)x^n

which tells us that

a_n=4^n+3\cdot2^n
3 0
2 years ago
A dealer paid $10,000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction pri
pickupchik [31]
<span>Given situation:
=> A deadler paid $10 000 for a boat at an auction.
=> At the dealership, a sales person sold the boat for 30% more than the auction price
=> 10 000 dollars + 30%
=> Then the salesperson received a commission of 25% of the difference between the auction price and the dealership price
=> 10 000 + 25%
Let’s find the solution
=> 10 000 x .30 = 3000
=> 10 000 + 3 000 = 13 000, he sell it for this price
=> then he received a commission
=> 13 000 – 3 000 = 10 000
=> 10 000 x .25
=> 2500 , his commission </span>



7 0
2 years ago
Other questions:
  • Gym A charges $65 a month plus $7 per visit. The monthly cost at Gym B is represented by y = 7x + 55, where x is the number of v
    13·1 answer
  • Which polynomials are listed with their correct additive inverse? Check all that apply. x2 + 3x – 2; –x2 – 3x + 2 –y7 – 10; –y7
    13·2 answers
  • One column of numbers consists of 61, 24, and 47. When the digits of the numbers are added together, the result is 6 + 1 + 2 + 4
    12·2 answers
  • Whole numbers are written on cards and then placed in a bag. Pilar selects a single card, writes down the number, and then place
    15·2 answers
  • Use the double intercept approach to find the graph of –1 = –y + x. A. B. C. D.
    5·1 answer
  • A football quarterback enjoys practicing his long passes over 40 yards. He misses the first pass 40% of the time. When he misses
    12·2 answers
  • A batting cage charges a flat fee of $5 to practice and then $1.50 per bucket of balls.
    13·2 answers
  • Two roots of the polynomial function f(x) = x3 − 7x − 6 are −2 and 3. Use the fundamental theorem of algebra and the complex con
    13·2 answers
  • Find the equation of a line parallel to -3x-5y=4 that contains the point (4,3). Write the equation and slope intercept form
    5·1 answer
  • Simon has a quarter, dime, nickel, and penny in his pocket. He wants to buy a snack at the canteen that costs 40¢. If he pulls o
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!