Answer:
3200.00
Step-by-step explanation:
took the test
Anderson's monthly income is 3,200.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Anderson's car payment is 2/25 of his monthly income.
Anderson pays a total = $3,072 per year in car payments.
So, he pays for 12 month = 3072
then for 1 month he pays = 3072 / 12
= $256
let Anderson's income was = x
Then,
2/25 * x = 256
x= 256*25/2
x= 6400 / 2
x= 3200
Hence, the monthly income is 3200.
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Is the function f(x)
= -6x + 5 linear or nonlinear?
Answer:
This is a linear function.
Step-by-step explanation:
A linear function is a straight line. Once you graph the equation, you get a staright line, therefore, it's linear.
a cube with the number 1,2, 3, 4, 5 and 6; what is the probability of getting an even number?
Step-by-step explanation:
answer is one and half
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?
adult tickets
Answer:
1035.75
Step-by-step explanation:
Answer:
your answer is 168 adult tickets
Step-by-step explanation:
Just got 100 on edge
There are 12 girls and 24 boys in a class. What is the ratio of boys to total number of students in the class?
Answer: 1:2
24 is half of 48
Pls help
Me i have alot and this is due tomorrow
A research company wants to determine whether there is a difference in effectiveness of a brand-name ibuprofen and generic ibuprofen. What are the appropriate hypotheses for this testing scenario? Let equal the mean of the effectiveness of brand-name ibuprofen and equal the mean of the effectiveness of generic ibuprofen
The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.
What is null hypothesis?A null hypothesis is a type of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Sample data is used to assess the viability of theories. H0 represents what is referred to as "zero" on occasion. The researchers make the assumption that there may be a relationship between the factors. The null hypothesis, on the other hand, claims that no such relationship exists. Although it may not appear to be significant, the null hypothesis is an important part of research.
The following hypotheses would be appropriate for testing the difference in effectiveness between brand-name and generic ibuprofen:
The null hypothesis (H0) states that there is no difference in the mean effectiveness of brand-name and generic ibuprofen.
Alternative hypothesis (Ha): The mean effectiveness of brand-name ibuprofen and generic ibuprofen differs.
These hypotheses can be expressed symbolically as follows:
H0: _generic = _brand-name\\
Ha: _trademark _generic
Where _brand-name denotes the population mean efficacy of brand-name ibuprofen and _generic denotes the population mean efficacy of generic ibuprofen. The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.
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Answer:
H0: μ1 – μ2 = 0
Ha: μ1 – μ2 ≠ 0
Step-by-step explanation:
took the quiz :)
9x+6 = 3(3x + 2) distributive property
Answer:
Identity Solution
Step-by-step explanation:
9x+6 = 3(3x + 2)
9x + 6 = 9x + 6
0x = 0
Identity Solution: Infinite; solution set {all real numbers}
8y = 0.2(3x - 5) answer in slope intercept and y-intercept
The slope of the given equation is 0.075 and y-intercept is 0.125
What is slope of line ?
Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.
The point with coordinate having same slope as with given coordinates can be plotted on the same line.
First writing the given equation in standard slope intercept form :
y = mx + c.........(1)
In which:
• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
• c is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function
8y = 0.2(3x - 5)
8y = 0.6x - 1
y = 0.6/8x - 1/8
y = 0.075x - 0.125
Now, comparing it with equation (1) we get :
m = 0.075 and c = - 0.125
hence the slope of the given equation is 0.075 and y-intercept is 0.125
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Singer A and Singer B had the two top-grossing concert tours for a certain year, together generating $443 million in ticket sales. If Singer B took in $29 million less than Singer A, how much did each tour generate?
If Singer B took in $29 million less than Singer A, it means that Singer A generates $236 million and singer B generates $207 million in tickets sale
How much does singer A takes in ticket sales?
The fact that singer B generated $29 million less than singer A means that if singer A generates x million , singer B would generate (x-29) million in tickets sales
singers A's earnings=x
singer B's earnings=x-29
total earnings=x+x-29
total earnings=2x-29
total earnings=443
443=2x-29
443+29=2x
472=2x
x=472/2
x=236
singer B's earnings=236-29
singer B's earnings=207
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A science teacher is planning a field trip to either the aquarium or science center.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
The science center charges $3 per student and has a class lab fee of $40.
Write a system of two equations where each equation models the total cost y to take x students on each field trip enter one equation per answer box
\(\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}\)
Let the no. of students be x
total cost = y
Then the first equation will be
8x + 20 = y
And the second equation will be
3x + 40 = y
A system of two equations where each equation models the total cost y to take x students on each field trip is;
8x + 20 = y
3x + 40 = y
The total cost y is 48 to take x = 4 students on each field trip.
What is the system of equations?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables.
A science teacher is planning a field trip to either the aquarium or the science center.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
The science center charges $3 per student and has a class lab fee of $40.
Let the total cost y to take x students on each field trip.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
8x + 20 = y
The science center charges $3 per student and has a class lab fee of $40.
3x + 40 = y
On solving both the equation
Substitute the value of y in the equation 2
3x + 40 = y
3x + 40 = 8x+20
8x - 3x = 40-20
5x = 20
x = 20/5
x = 4
Substitute the value of x in the equation 1
3x + 40 = y
2(4) + 40 =y
8 + 40 = y
y = 48
Hence, the total cost y is 48 to take x = 4 students on each field trip.
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two hikers walk on the trans-canada trail for 5.0 h and cover 42km what is there average speed for the trip
Answer:
about 8 km per hour
Step-by-step explanation:
8 kilometers every hour for 5 hours is 40 km wich is very close to 42km. hope this helps
10th grade Geometry Question, I will give brainliest. NEED HELP ASAP!
Answer:
- 1 + 5 + 2 y is your answer I am the teacher
for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
Angles C and D are complementary. The measure of angle D is 25 degrees greater than the measure of angel C. What is the measure of each angel?
Answer:
x + x + 25 = 90
2x = 65
x = 32.5° (angle C)
x + 25 = 57.5° (angle D)
Angle C measures 32.5°, and angle D measures 57.5°.
Help please!!!! 8. 9. And 10.
Answer:
9 is 3rd -- 8 is last -- 10 is first --
Step-by-step explanation:
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The chart below represents the steps in the process of a bill becoming a law. Use the chart to answer the following question.
The image represents the process of a bill becoming a law. It shows a set of parallel lines that merge, then split into two, and then merge again. Moving left to right, the top line has boxes labeled: A, C, E, G, and H. The bottom line has boxes labeled: B, D, F, and I. Boxes A and B, C and D, E and F, H and I, are paired. G is the only box on the top line without a corresponding box on the bottom line. Continuing to move from left to right, the two lines merge into one and have one box labeled J. Then the lines separate into two parallel lines again. The top line is labeled with box K and the bottom line is labeled with box L. The two parallel lines continue to the right where they again merge into one line, with an arrow pointing to a final box labeled M.
© 2011 FLVS
Which section of this chart represents the point where a bill is first debated in subcommittees?
A and B
H and I
C and D
K and L
Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D
How to explain the informationIn the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.
Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.
In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.
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Find each value to 4 decimal places. Include Step by step
a) sin 36°
b) cos 14°
c) tan 86°
a) sin 36° ≈ 0.5878
b) cos 14° ≈ 0.9691
c) tan 86° ≈ -9.5144
To find the values of trigonometric functions, such as sine, cosine, and tangent, for specific angles, we can use a scientific calculator or trigonometric tables. However, I can provide you with step-by-step calculations to find the values of sin 36°, cos 14°, and tan 86°.
a) sin 36°:
Step 1: Convert 36° to radians:
36° * (π/180) ≈ 0.6283 radians
Step 2: Use a scientific calculator to find the sine of 0.6283 radians:
sin 0.6283 ≈ 0.5878
Therefore, sin 36° ≈ 0.5878
b) cos 14°:
Step 1: Convert 14° to radians:
14° * (π/180) ≈ 0.2443 radians
Step 2: Use a scientific calculator to find the cosine of 0.2443 radians:
cos 0.2443 ≈ 0.9691
Therefore, cos 14° ≈ 0.9691
c) tan 86°:
Step 1: Convert 86° to radians:
86° * (π/180) ≈ 1.5009 radians
Step 2: Use a scientific calculator to find the tangent of 1.5009 radians:
tan 1.5009 ≈ -9.5144
Therefore, tan 86° ≈ -9.5144
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Evaluate the given expression for x=5
x² + 3x - 2
(5)² + 3 × 5- 2
25 + 15 - 2
40 - 2
38...
What is a shorter way to write 10 divided by 5?
Answer:
see below
Step-by-step explanation:
10/5
(10 over five)
Which is 2
Answer:
\(\frac{10}{5}\)
In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of 25 pieces of carry-on luggage was collected and weighed.
The average weight was 18 pounds. Assume that we know the standard deviation of the population to be 7.5 pounds. If we wanted to establish the 95% confidence interval estimate, determine the margin of error to be used.
The average weight of carry-on luggage by passengers in airplanes is (15.7, 20.3) pounds.
The margin of error to be used is 2.3 pounds.
Confidence Interval Estimate CalculationThe margin of error can be calculated using the formula:Margin of Error = z * (standard deviation / sqrt(sample size))where z is the Z-score that corresponds to the desired confidence level (95% confidence corresponds to a Z-score of 1.96), standard deviation is the population standard deviation (7.5 pounds), and sample size is the number of items in the sample (25).
Plugging in the values, we get:Margin of Error = 1.96 * (7.5 / sqrt(25)) = 2.3 pounds
So, the 95% confidence interval estimate of the average weight of carry-on luggage would be:(average weight - margin of error, average weight + margin of error)
= (18 - 2.3, 18 + 2.3) = (15.7, 20.3) pounds.
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the graph of a line is shown on the grid. the coordinates of both point indicated on the graph of the line are integer
Answer:
-5/6
Step-by-step explanation:
By the application of Analytical geometry the rate of change of y with respect to x is -5/6.
what is Analytical geometry?
Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.
The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.
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Mat hits a home run once every ten times at bat, and gets exactly two times at bat in every game. He wants to know the probability that he will hit at least one home run in a single game. Mat can use one of the following simulations to complete this probability. Model A - Use a random number generator to generate 500 two-digit numbers from 00 to 99. Assign "success" to the number value of 1, and count up all the random two-digit numbers that contain a 1. Model B - Use a spinner with ten different colors of equal area. Assign "success" to one of the colors. For one trial, spin the spinner twice. If the spinner lands on the color considered "success", start over. Count the trial if the spinner lands on the color considered "success" or not at all. Repeat this process for 20 trials. Model C - Use a standard six-sided die. Assign "success" to the number 1. For one trial, roll the die twice. If the die lands on 1, start over. Count the trial if the die either lands on 1 or not at all. Repeat this process for 50 trials. is the best simulation for this situation. Using this simulation, the probability that Mat will hit at least one home run in a single game is about .
Answer:Model A and 19%
Step-by-step explanation:
I saw the explanation on study island
The correct model for the probability is given as follows:
Model B.
The probability that Mat will hit at least one home run in a single game is about 0.19 = 19%.
A probability is calculated by the division of the number of desired outcomes by the number of total outcomes.
Mat hits a home run once every ten times at bat, and gets exactly two times at bat in every game, hence the total number of outcomes is of:
10² = 100.
This is why Model B is the correct model, as it has two trials of 10 outcomes, and each trial has a 0.1 probability of success.
The probability that he hits no home runs is of:
0.9² = 0.81.
Hence the probability of hitting at least one home run is of:
1 - 0.81 = 0.19 = 19%.
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. In a fort, there were provisions for 400 men for 23 weeks. 60 more men joined them. How long will the provisions
last?
The additional 60 men, the provisions will last for approximately 20 weeks.
To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.
Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.
Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.
To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:
Provisions last = Total person-weeks / Number of men
= 9200 / 460
≈ 20 weeks (rounded to the nearest whole number)
The additional 60 men will extend the supply's shelf life to around 20 weeks.
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I need help with the picture shown above I will mark brainliest
The division is not correct. The quotient after divided 6.4 by 0.0 is 320.
What is the quotient?
A quotient is the amount that results from dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.
The divisor is 0.02 and dividend is 6.4.
The number of digits after decimal point of divisor is 2.
The number of digits after decimal point of dividend is 1.
Thus multiply dividend by 100 and multiply divisor by 100.
The new divisor is 2 and dividend is 640.
The quotient is 320.
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Line___is a transversal.
Answer:
C
Step-by-step explanation:
Line A is Parallel to Line B
Line C intersects Line A and B
Answer:
line C
Step-by-step explanation:
Find two positive numbers whose sum is 110 and whose product is a maximum.
The two positive numbers are 55, and 55.
Given that,
Two positive numbers whose product is a maximum and whose sum is 110.
To Find : Two positive real numbers with a maximum product whose sum is 110.
x + y = 110
x = 110-y
Area = xy = (110-y)y
A = 110y-y^2
Maximum A occurs when y = -b/(2a) = -110/(2*-1) = 55
x + y = 110
x + 55 = 110
x = 55
and y is also 55.
Therefore, the two positive numbers are 55, and 55.
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The variables y and x have a proportional relationship, and y = 12 when x = 5.
What is the value of y when x = 8?
Answer:
y = 19.2
Step-by-step explanation:
We know there is relationship between y and x, so according to the formula \(y = kx\)
k = 12/5
we get one function y = 2.4x
when x = 8, input it into the function,
y = 2.4×8 = 19.2
a motorboat travels 456 km in 8 hours going upstream and 783 km in 9 hours going downstream. what is the rate of the boat in still water and what is the rate of current?
the distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?
Based on the calculations, the value which closest to the mean of the distribution is equal to: B. 18 inches.
What is a z-value?A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:
Z = (x - μ)/δ
Where:
x represents the sample mean or observed data.μ represents the mean.δ represents the standard deviation.If 15 percent of the rainbow trout are longer than 15 inches, then we have:
P(x > 15) = 0.15
From the z-table, the z-value which corresponds to a mean of 0.15 is given by:
z-value = -1.036
Substituting the given parameters into the formula, we have;
Z = (x - μ)/δ
-1.036 = (15 - μ)/2.4
-1.036 × 2.4 = 15 - μ
-2.4864 = 15 - μ
μ = 15 + 2.4864
Mean, μ = 17.4864
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Complete Question:
The distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?
A. 26 inches
B. 18 inches
C. 30 inches
D. 33 inches
E. 34 inches
Problem 3
Draw the pictures to compute 1 ÷ 11 in a base ten system, and show the answer is 0.09.
The result of 1/11 in the base 10 system is given as is 0.09.
How to solveTo visualize the long division of 1 ÷ 11 in a base ten system:
Set up the long division: 11 outside and 1.00 inside the division bracket.
Place the decimal point in the quotient above the dividend's decimal point.
Bring down the first digit (0) and divide 11 into 10; it goes 0 times.
Subtract the product (0) from 10, leaving 10.
Bring down the next digit (0) and divide 11 into 100; it goes 9 times.
Subtract 99 from 100, leaving a remainder of 1.
The result is 0.09.
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