Final answer:
By applying the given linear equation, we can calculate the average cinema admission price for specific years, find out in which year the price was approximately $7.88, and predict when it might reach $10.04.
Explanation:
The question involves solving a linear equation to complete a table, find a specific year based on the ticket price, and predict when the ticket price will reach a certain amount. To complete these steps, we apply the equation y=0.28x+5.92, where x represents the number of years after 2003, and y gives the price in dollars.
For a, plug in the values of x (2, 5, 8) into the equation to find y.
For b, set y=7.88 and solve for x (years after 2003) by rearranging the equation.
For c, with a target price of $10.04, use the equation again to solve for x.
When x=2, y=6.48.
When x=5, y=7.32.
When x=8, y=8.16.
For a ticket price of $7.88, solve for x: x = (7.88 - 5.92) / 0.28 = 7 years after 2003, which is 2010.
To predict when the ticket price reaches $10.04, solve for x: x = (10.04 - 5.92) / 0.28 = 14.71, rounding to 15 years after 2003, which is 2018.
Where's the vertical asymptote?
A recipe for a vegetable dish contains a total of 924 calories. The dish serves 6 people. How many calories are in each serving?
This problem involves empirical probability. The table shows the breakdown of 97 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the Army.
The probability that a randomly selected single parent in the U.S. military is a woman in the Air Force is [tex]\( \frac{6}{97} \)[/tex], which is approximately 0.0619 or 6.19%.
To find the probability that a randomly selected single parent in the U.S. military is a woman in the Air Force, we need to divide the number of women in the Air Force by the total number of single parents in the military.
1. First, find the number of women in the Air Force from the table. This is given as 6 thousand.
2. Next, find the total number of single parents in the military. This is given as 97 thousand.
3. Finally, divide the number of women in the Air Force by the total number of single parents in the military and express the result as a fraction or decimal to represent the probability.
So, the probability P can be calculated as:
[tex]\[ P = \frac{{\text{Number of women in the Air Force}}}{{\text{Total number of single parents}}} \][/tex]
Substituting the values:
[tex]\[ P = \frac{6}{97} \][/tex]
[tex]\[ P ≈ 0.0619 \][/tex]
Therefore, the probability that a randomly selected single parent in the U.S. military is a woman in the Air Force is approximately 0.0619 or 6.19%.
Complete question:
This problem involves empirical probability. The table shows the breakdown of 97 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is a woman in the Air Force.
Army Navy Marine Corps Air Force Total
Male 27 26 4 14 71
Female 11 8 1 6 26
Total 38 34 5 20 97
The probability that a randomly selected single parent in the U.S. military is a woman in the Air Force is?
at the bake sale connie bought 4 chocolate cookies kevin bought 4 brownies and luis bought 6 sugar cookies in simplest form what fraction represents the number of cookies bought
write the equation of a line perpendicular to 9x+8y=3 that passes through the point (8,-7). Type an equation using slope- intercept form or using the given point in point- slope form. use integers or simplified fractions for any numbers in the equation.
2500 kilobytes in 5 minutes
A rectangle's length and width are in a ratio of 8:3. The area is 384 square millimeters. What are the length and width?
Please I really am desperate
here is another question 2/5 divided by 1/6
frieda has 12 red apples and 15 green apples she is going to share equally among8 people and keep any extra apples for herself.how many apples will frieda keep for herself
Frieda will keep 3 apples to herself after sharing
ProportionsFrom the given question, we are told that frieda has 12 red apples and 15 green apples. The total number of fruit is expressed as:
Total = 12 + 15Total = 27 fruitIf she is going to share equally among 8 people, then the remainder when 27 is divided by 8 will be the remaining fruit
Taking the ratio
Ratio = 27/8
Ratio = 3 remainder 3
Frieda will keep 3 apples to herself after sharing
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Xy=30
3x-y=-9
Solve by the substitution method
how to calculate z=1.15 and z = 2.37 bell shaped normal distribution
Claire picked some apples. She used 2/5 of the apples to make jam, She gave 1/3 of the remainder to her neighbor. What fraction of the apples did she give to her neighbor? Can someone please explain step by step please
From a standard desk of 52 card, 5 card are draw.What are the odds of each even occurring?
a) 5 aces
b) 5 face cards
A new tire that you need for your bike has a radius of 13 inches. What is the circumference of the tire? Use 3.14 to approximate pi. Round your answer to the nearest tenth.
Answer:
81.6
Step-by-step explanation:
this question is pretty old but I hope this helps people like me trying to find the actual answer unlike the first one.
3. Jones of New York sold a fax machine for $400 to Ron Stationery of Boston. Terms of the sale on July 29 are 2/10 EOM FOB New York. Jones agreed to prepay the freight of $25. Assume Ron pays on September 4. How much will it pay Jones?
A recent survey suggests that 85% of adults know what Twitter is. How many adults should you survey in order to be 90% confident that your estimate is within 5% of the true population proportion?
What is the compound interest if $410 is invested for 13 years at 8% compounded continuously?
the product of two consecutive even positive integers is 782 more than the sum of the two integers. Find the integers
To find the consecutive even positive integers, we set up an equation based on the given information and solve for the variables.
Explanation:Let's assume the first even positive integer is x. Therefore, the next consecutive even positive integer will be x + 2. According to the problem, the product of these two integers is 782 more than their sum. We can set up the equation as x(x + 2) = x + x + 2 + 782.
Simplifying the equation, we get x^2 + 2x = 2x + 784.
By solving this quadratic equation, we find that the value of x is 26. Therefore, the consecutive even positive integers are 26 and 28.
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3-3x6+2=what is correct answer
This is how I did it:
3 - 1(3x6)+2=
-1x3= -3
-1x6= -6
-3x-6= +18
3+18+2= 23
Is it correct 2 add parentheses around 3x6 and then add an "invisible" 1 in front of the parentheses?
The expression 3 - 3×6 + 2, following the order of operations, results in -13. There is no need to add unnecessary parentheses or introduce an "invisible" 1; multiplication inherently takes precedence.
Explanation:The expression should be evaluated according to the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's solve the expression step by step:
3 - 3×6 + 2
Step 1: Perform multiplication first, since it precedes addition and subtraction in the order of operations.
3 - (3×6) + 2 = 3 - 18 + 2
Step 2: Proceed with addition and subtraction from left to right.
3 - 18 results in -15, and then adding 2 gives us -15 + 2 = -13.
Therefore, the correct answer to the expression is -13.
There's no need to introduce an "invisible" 1 or to add parentheses around the multiplication, as the multiplication already has precedence over addition and subtraction.
The interest on 6000 at 6% compounded semiannually for eight years is?
find the radian measure of an angle at the center of a circle with radius 67.0 cm that intercepts an arc length of 118 cm
slope=-1 and y-intercept (0,10).
graph the line.
Mountain Ski Corp. was set up to take large risks and is willing to take the greatest risk possible. Lakeway Train Co. is more typical of the average corporation and is risk-averse.
Projects Returns:
Expected Value Standard
Deviation
A $ 527,000 $ 834,000
B 682,000 306,000
C 74,000 135,000
D 140,000 89,000
a-1. Compute the coefficients of variation. (Round your answers to 3 decimal places.)
Coefficient of
Variation
Project A
Project B
Project C
Project D
a-2. Which of the following four projects should Mountain Ski Corp. choose?
Project A
Project B
Project C
Project D
b.
Which one of the four projects should Lakeway Train Co. choose based on the same criteria of using the coefficient of variation?
Project A
Project B
Project C
Project D
A rectangle has a length of 32 yards less than 3 times its width. If the area of the rectangle is 748 square yards, find the length of the rectangle.
The length of the rectangle will be 34 yards.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The two-dimensional space occupied by the rectangle is called the area of the rectangle.
Given that A rectangle has a length of 32 yards less than 3 times its width. If the area of the rectangle is 748 square yards. The length and the width will be calculated by forming an expression.
Area = L x W
Area = W ( 3W - 32 )
748 = 3W² - 32W
3W² -32W -748 = 0
W = 22 and W = -11
The width will be 22 yards put W in the expression of L to get L.
L= ( 3W - 32 )
L = ( 3 x 22 - 32 ) = 34 yards
Therefore, the length of the rectangle will be 34 yards.
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A theater can seat 144 people. The number of rows is 7 less than the number of seats in each row. How many rows of seats are there?
To determine the number of rows in the theater, we use the given information to create the equation x * (x - 7) = 144 where x is the number of seats per row. Factoring out, we find 16 and 9 as a suitable pair, leading to the conclusion that there are 9 rows of seats in the theater.
Explanation:The student's question involves finding the number of rows of seats in a theater given certain constraints. To solve this problem, let's designate x as the number of seats in each row. According to the question, the number of rows of seats is 7 less than the number of seats in a row, which can be written as x - 7. Since we know the theater can seat 144 people in total, we can create the following equation to represent the total number of seats:
x imes (x - 7) = 144
Solving this quadratic equation by factoring will give us the value of x, which will then allow us to calculate x - 7 for the number of rows. By factoring 144, we find that 16 and 9 are factors that satisfy the equation (16 imes 9 = 144) and also meet the condition that one factor is 7 less than the other (16 - 7 = 9). Therefore, the number of seats in each row is 16, and the number of rows is 16 - 7 which gives us 9 rows in the theater.
What is greater 7/12 0.75 or 5/6
what's the answer to this
What value of b will cause the system to have an infinite number of solutions?
Answer:
Step-by-step explanation:
b=6
Find The last two digit of 36^2015
Answer:
76
Step-by-step explanation:
The last two digits of powers of 36 repeat in a pattern of length 5:
36^1 mod 100 = 36
36^2 mod 100 = 96
36^3 mod 100 = 56
36^4 mod 100 = 16
36^5 mod 100 = 76
36^6 mod 100 = 36
The last two digits of the power 2015 are the same as those of the 5th power: 76.
A car rental cost $80 per day, for the first 250 miles, plus $0.20 for each additional mile. If Sonya's rental cost was $124 for one-day rental, how many miles did she drive?