After buying tickets and drinks the total cost is 29.18 and using 5.00 off coupon, the cost of one drink is 11.59
As per the question statement, 2 tickets cost 11.00 and they bought 2 drinks and used a 5.00 off coupon. The total cost was 29.18. We are supposed to find out the cost of one drink.
Let the cost of one drink be "x"
Cost of 2 tickets = 11
Off coupon is of 5.00
Cost of two drinks = \(2x\)
Total money paid = 29.18
Hence, \(11+2x-5=29.18\\2x=29.18+5-11=23.18\\x=\frac{23.18}{2} \\x=11.59\)
Therefore the cost of one drink is \(x=11.59\)
This question was a classic example of how to form equations when all the given conditions are in statements.
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When all samples are drawn from a single population, the mean of the distribution of differences should approximate: a. 0 b. +1.0 c. - 1.0 d. the mean of the distribution of means
When all samples are drawn from a single population, the mean of the distribution of differences should approximate 0.
When samples are drawn from a single population, the differences between pairs of samples should reflect the inherent variability within that population. If the population has a well-defined mean, the differences between pairs of samples will tend to cancel out, resulting in an average difference close to zero.
This is because the positive differences will be balanced by the negative differences, leading to an overall mean difference of approximately zero.
Therefore, option a, "0," is the correct answer. The mean of the distribution of differences should approach zero when all samples are drawn from a single population.
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a small liberal arts college in the northeast has 350 freshmen. one hundred ten of the freshmen are education majors. suppose seventy freshmen are randomly selected (without replacement).step 1 of 2 : find the expected number of education majors in the sample. round your answer to two decimal places, if necessary.
The expected number of education majors in the sample can be found using the concept of expected value. In this scenario, there are 110 education majors out of a total of 350 freshmen in the population. We want to determine the expected number of education majors when a sample of 70 freshmen is randomly selected (without replacement).
Expected number of education majors = (Number of education majors in the population / Total number of students in the population) * Number of students in the sample Expected number of education majors = (110 / 350) * 70 , Expected number of education majors = 12.86.This means that we would expect to see 12.86 education majors in the sample of 70 freshmen. The expected number of education majors in the sample is less than the actual number of education majors in the population because the sample is drawn without replacement. This means that there is a chance that some of the education majors will be selected more than once, while others will not be selected at all.
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Can someone help me
Answer:
c=20
Step-by-step explanation:
Match each word or phrase with the definition hypothesis null alternative Drag each word into the appropriate place below in order to correctly complete each of the following sentences. A _____ is a statement regarding a characteristic of one or more populations. The _____ ______ is a statement of no change, no effect, or no difference. The _____ ______ is a statement we are trying to find evidence to support. Drag your answer(s) to the correct position
A hypothesis is a statement regarding a characteristic of one or more populations. The null hypothesis is a statement of no change, no effect, or no difference. The alternative hypothesis is a statement we are trying to find evidence to support.
Generally, the null hypothesis expresses that there is no change, no difference, no effect, and in another way, no relationship between the independent and dependent variables. Because we are hypothesizing that nothing is happening, then it is called the null hypothesis.
The null and alternative hypothesis are two conflicting claims which researchers weigh evidence for and against using a statistical test. Null hypothesis (H0) means there is no effect in the population. Meanwhile, alternative hypothesis (Ha or H1) means there is an effect in the population.
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has anyone done the grade 8 climate statistics project? my summer school ends in 2 weeks and i need to finish it but i’m stuck
Answer:
i dont know maybe go look for it on the textbook pages
For an experiment, Portia plans to roll a fair, ten-sided did and a fair, four-sided die, and then find s of the two dice
The probability that the sum of the two dice is 10 is 1/20 or 0.05.
What is the probability?The probability that the sum of the two dice is 10 is determined as follows:
Outcomes:
Ten-sided die outcomes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Four-sided die outcomes: 1, 2, 3, 4
The possible sums of 10:
(1, 9)
(2, 8)
(3, 7)
(4, 6)
(5, 5)
For the ten-sided die, there are 10 possible outcomes, so the probability of each outcome is 1/10.
For the four-sided die, there are 4 possible outcomes, so the probability of each outcome is 1/4.
The probability of each pair
(1/10) * (1/10) = 1/100
(1/10) * (1/10) = 1/100
(1/10) * (1/10) = 1/100
(1/10) * (1/10) = 1/100
(1/10) * (1/10) = 1/100
The probability of the sum of 10 will be:
(1/100) + (1/100) + (1/100) + (1/100) + (1/100) = 5/100
The probability of the sum of 10 = 1/20
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Chioe stops for lunch in a town that
has no meal tax. She has $20 and tips
15%. Select all the prices of meals she
could buy.
(A) $18.50
(B) $16.25
(C) $15.75
(D) $17.45
(E) $15.95
Simplify the expression. Write the answer using scientific notation.
(2 x 10^13)^-2
Answer:
2.5 x 10^-27
Step-by-step explanation:
(2 x 10^13)^-2
= (2^-2) x (10^13) ^-2
= 0.25 x 10^-26
= 2.5 x 10^-27
Answered by Gauthmath
Mr. Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 80 bags of dog food, and the dog food weighs 37 1/2 pounds per bag. What is the total weight, in tons, of the dog food Mr. Lopez delivers to the animal shelter?
Answer:
3 tons
Step-by-step explanation:
What is the order on a number line left to right of 1.25, -1.25, 2 2/5, -2.1, 1/3
a baseball team plays in a stadium that holds 68000 spectators. with the ticket price at $8 the average attendance has been 29000. when the price dropped to $7, the average attendance rose to 34000. assume that attendance is linearly related to ticket price. what ticket price would maximize revenue? $
To find the ticket price that would maximize revenue, we would need to find the ticket price that results in the highest attendance and multiply that by the attendance rate.
To maximize revenue, the ticket price should be set where the attendance rate is highest. If attendance is linearly related to ticket price, we can use the two points of ($8, 29000) and ($7, 34000) to find the slope of the line and use it to find the price that would result in the maximum attendance. To find the slope, we can use the formula:
Slope = (y2 - y1) / (x2 - x1)
where y1 is the attendance at $8 and y2 is the attendance at $7. x1 is the ticket price of $8 and x2 is the ticket price of $7. Plugging in the values, we get:
Slope = (34000 - 29000) / (7 - 8) = 5000 / -1 = -5000
This means that for every $1 decrease in ticket price, attendance will increase by 5000. Using this slope, we can write the equation of the line as:
Attendance = -5000 * (Ticket Price) + 34000
where Ticket Price is the price of the ticket. To find the maximum revenue, we need to find the ticket price that results in the highest attendance. To do this, we can use the equation to calculate attendance for different ticket prices and choose the one that results in the highest attendance. The revenue is equal to the product of the ticket price and the attendance. To maximize the revenue, we want to maximize the product of these two values.
Therefore, to find the ticket price that would maximize revenue, we would need to find the ticket price that results in the highest attendance and multiply that by the attendance rate.
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Are 12,16,20 pythagorean triplets. Explain why.
Answer:Yes,these are pythagorean triplets because you can divide all three by the same number which is 4.
Step-by-step explanation:12 divided by 4 is 3. 16 divided by 4 is 4. And 20 divided by 4 is 5.
Answer:
Yes
Step-by-step explanation:
They all have a scale factor of 4 and 3,4,5 are also Pythagorean triplets
E campsite shop also sells boxes of Pick-Me-Up teabags. The base of each box is a 120 mm square. The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle. Work out the maximum number of boxes that will fit on the shelf.
Answer:
The maximum number of boxes that will fit on the shelf = 189 boxes
Step-by-step explanation:
First, to harmonize the units of the dimensions given, let us convert the unit of the Pick-Me-Up teabags to cm.
1 cm = 10mm
1mm = 0.1cm
∴ 120mm = 0.1 × 120 = 12cm
Therefore, the base of each box is 12cm²
Next, let us calculate the area of the shelf.
Dimension of shelf = 65cm × 35cm
∴ Area of shelf = 65 × 35 = 2275cm²
Therefore, to calculate how many boxes will fit into the shelf, we will divide the area of the shelf by the area of the boxes of Pick-Me-Up teabag. This is shown below.
Area of shelf = 2275cm²
Area of boxes = 12cm²
Number of boxes that will fit on the shelf = Area of shelf ÷ Area of boxes
= 2275 ÷ 12 = 189.58 boxes
since there are no fractional boxes, we will round down to the nearest whole number of boxes.
Hence, the maximum number of boxes that will fit on the shelf = 189 boxes
Let f be a differentiable function such that f (2) = 4 and f (2) = − 1/2 . What is the approximation for f (2.1) found by using the line tangent to the graph of f at x = 2 ?
Using line tangent, the approximation for f(2.1) is 3.95
Given,
The point (a, f(a)) is on the line tangent to the graph of y = f(x) at x = a, which has a slope of f'(a).
The equation be like;
y - f(a) / (x - a) = f'(a)
y = f'(a) (x - a) + f(a)
Using the provided data and a = 2, we can determine that the tangent line to the graph of y = f(x) at x = 2 has equation
y = f'(2) (x - 2) + f(2)
y = -1/2 (x - 2) + 4
To compute a "approximation of f(2.1) using the line tangent to the graph of f at x = 2," one must substitute x = 2.1 for f in the equation for the tangent line (2.1). You get 2.1 when you plug this in.
y = -1/2 (x - 2) + 4
y = -1/2 (2.1 - 2) + 4
y = -1/2 x 0.1 + 4
y = 3.95
That is,
The approximation for f(2.1) using line tangent is 3.95
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A marathon is approximately 26 miles. If a marathon runner has run 13 miles so far, what percent of the
marathon has she completed? I
Answer:
They have completed 50% of the race
Step-by-step explanation:
13 is half of 26. So when putting it in fraction form 13/26 can be equal to 50/100/
Now we can see that our fraction is 50/100, which means that 13/26 as a percentage is 50%.
Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or
The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.
How to calculate the selling price of each scarf?To calculate the amount of money that Maura spends on each scarf the following is carried out.
The amount of money that she spends on the scarf material = $5.50
The percentage selling price of each scarf = 600% of $5.50
That is ;
= 600/100 × 5.50/1
= 3300/100
= $33.
Therefore, each price that is sold by Maura would probably cost a total of $33.
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35 points!!!!
i need an answer
Answer:
pretty sure it's A
Step-by-step explanation:
scalene is no equal sides and obtuse is an angle greater than 90°
Drag the tiles to the correct boxes to complete the pairs. Match each point of intersection with the system of equations whose solution is at that point.
To determine which point is a solution to which equation system, you have to identfy which line corresponds to which equation and the coordinates of each point.
Points
W (≈-7/3,≈4/3)
X (-1,3)
Y (1,1)
Z (≈-1/2,-2)
The symbol ≈ indicates that is an approximate value.
Brown line
Has y-intercept at (0,-3)
And slope
Using points (0,-3) and (-1,-1)
\(m=\frac{-3--1}{0--1}=-\frac{2}{1}=-2\)Its equation is y=-2x-3
Blue line
Has y-intercept (0,2)
And slope
Using points (0,2) and (-1,-3)
\(m=\frac{2-3}{0--1}=-1\)Its equation is y=-x+2
Red line
Has y-intercept (0,4)
And slope
Using points (0,4) and (-1,-3)
\(m=\frac{4-3}{0--1}=1\)Its equation is y=x+4
Black line
Has y-intercept (0,-1)
And slope
Using points (0,-1) and (1,1)
\(m=\frac{1-(-1)}{1-0}=2\)The equation for this line is y=2x-1
The first equation system is
y=-2x-3
y=2x-1
Corresponds to the intersection between the brown and black lines. The point that is a solution for this system is Z
The second equation system is
y=x+4
y=-x+2
Corresponds to the intersection between the blue and red lines. The point that is a solution for this system is X
The third equation system is
y=-2x-3
y=x+4
Corresponds to the intersection between the brown and red lines. The point that is a solution for this system is W
The fourth equation system is
y=2x-1
y=-x+2
Corresponds to the intersection between the black and blue lines. The point that is a solution for this system is Y
Another way for solving this exercise is by calculating the solution of each system and placing the results in the grid. For example for the first system:
y=-2x-3
y=2x-1
\(-2x-3=2x-1\)solve for x
\(\begin{gathered} -2x-2x-3=2x-2x-1 \\ -4x-3+3=-1+3 \\ -4x=2 \\ -\frac{4x}{-4}=\frac{2}{-4} \\ x=-\frac{1}{2} \end{gathered}\)And now replace this value in one of the equations
\(\begin{gathered} y=-2(-\frac{1}{2})-3 \\ y=-2 \end{gathered}\)The solution for this system is (-1/2,-2) → If you look at the coordinates determined above, you'll see that these correspond to point Z
Both ways are equally valid to determine which point corresponds to each system.
Shay keeps her toothbrush in a cylindrical toothbrush holder. To the
nearest whole number, what is the approximate volume of the
toothbrush holder? (Answer with whole number only, no units)
9.25 cm
6.5 cm
Answer: To find the volume of a cylinder, we use the formula:
V = πr^2h
where r is the radius of the base, h is the height, and π is approximately 3.14.
However, we are not given the dimensions of the toothbrush holder. Therefore, we cannot find the exact volume. We need more information, such as the radius or height of the holder.
Therefore, we cannot calculate the approximate volume of the toothbrush holder with the given information. Neither option (A) nor option (B) is correct.
According to exponent rules, when we multiply the same base we _____ the exponents
Answer:
Add
Step-by-step explanation:
When MULTIPLY exponents with same base, you Keep the base and + ADD the exponents.
\( \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}\)
\( \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: add \: }}}}}}\)
According to exponent rules, when we multiply the same base we Add the exponents.solve the following using BEDMAS
5X4 -(3+1)2÷2
the value of the expression is 12.
To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.
The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.
It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.
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algebra question
3-x=5-3x
Answer:
x=1. Hope this helps!!!
How do you find the value of x while working with adjacent and vertical angles? The angle is adjacent btw if that helps... I am in 7th grade and need help with this topic
Answer:
The angles are adjacent because they have a common side and vertex. Basically, they are both right next to each other.
x = 28
Step-by-step explanation:
When (x + 6)° and 56° are added together, they need to equal 90° since they are both parts of a right angle.
(x + 6) + 56 = 90
x + 62 = 90
x = 28
Give simple working out
The missing angle of the diagram is expressed as; x = 70°
How to find the sum of angles at a point?An angle is usually measured with reference to a circle with its center at the common endpoint of the rays. Hence, the sum of angles at a point is always 360 degrees
Now, we are given a point with three angles where one is unknown and the other two are known. Thus, by the sum of angles about a point, they will sum up to 360 degrees.
Thus;
x + 160 + 130 = 360
x + 290 = 360
x = 360 - 290
x = 70°
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what is the reference angle for 300 degrees
Answer:
60 degrees
Step-by-step explanation:
360 minus 300 = 60.
Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with
multiplicity 2?
Of(x) = 2(x + 7)(x + 5)(x - 2)
Of(x) = 2(x-7)(x - 5)(x + 2)
Of(x) = (x + 7)(x + 5)(x + 5)(x - 2)
of(x) = (x-7)(x-5)(x - 5)(x + 2)
Mark this and return
Save and Exit
Next
Sb
Answer:
of(x) = (x-7)(x-5)(x - 5)(x + 2)
Step-by-step explanation:
Is this correct? What do I have to switch up? (Only if you know)
even if the research hypothesis is true, an experiment may not produce significant results because:
The main answer to this question is that there could be several reasons why an experiment may not produce significant results even if the research hypothesis is true.
One possible explanation could be that the sample size used in the experiment was too small, which could have resulted in insufficient statistical power to detect the true effect of the independent variable on the dependent variable. Another explanation could be that there were extraneous variables that were not controlled for in the experiment, which could have influenced the results and made it difficult to detect the true effect of the independent variable.
it is important to consider all possible factors that may affect the results of an experiment and to take steps to minimize their impact. This includes ensuring that the sample size is appropriate, controlling for extraneous variables, and using appropriate statistical tests to analyze the data. By doing so, researchers can increase the likelihood of obtaining significant results that accurately reflect the effects of the independent variable on the dependent variable.
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Order the values from least to greatest.
Answer:
In order of least to greatest- 99%, -9.9, sqaure root of 80, 1/9, sqaure root of 9, 19%
Step-by-step explanation:
Find the surface area of a square pyramid with side length 1 in and slant height 2 in.
Answer:
5 in²
Step-by-step explanation:
You want the surface area of a square pyramid with side length 1 in and slant height 2 in.
Surface areaThe area of one triangular face is ...
A = 1/2bh
A = 1/2(1 in)(2 in) = 1 in²
The area of the square base is ...
A = s²
A = (1 in)² = 1 in²
TotalThe total surface area is ...
total area = base area + 4 × area of one face
total area = 1 in² + 4 × 1 in²
total area = 5 in²
The surface area of the square pyramid is 5 square inches.
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