Answer:
$41.21
Step-by-step explanation:
1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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oh god please help I have no idea what this is
Answer:
1. 10/7, 2/1, 1,5
2. 5/8 * 3/2
Step-by-step explanation:
(:
Answer:
Which part exactly.. Or which number exactly
A six-sided number cube has one number, from 1 through 6, on each face. Number cubes are often used when playing board games 6 o CL
Answer:
what is the question? there is no question to answer
Step-by-step explanation:
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class. Write an equation that represents the total cost of the membership.
The equation that represents the total cost of the membership will be y = 5x + 265.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A local rec center offers a yearly membership for $265. The center offers aerobics classes for an additional $5 per class.
Let 'x' be the number of aerobics classes and 'y' be the total cost. Then the equation is given as,
y = 5x + 265
The equation that represents the total cost of the membership will be y = 5x + 265.
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The following five values are a sample: 11, 6, 10, 6, and 7. Required: a. Compute the sample variance. (Round your answer to 1 decimal place.) b. Determine the sample standard deviation.
The standard deviation of a sample is the square root of the variance
The variance is 5.5The standard deviation is 2.35How to determine the varianceThe sample is given as: 11, 6, 10, 6, and 7
Start by calculating the mean
\(\bar x = \frac{\sum x}{n}\)
So, we have:
\(\bar x = \frac{11+ 6+ 10+ 6+ 7}{5}\)
\(\bar x = 8\)
The variance is then calculated as:
\(\sigma^2 = \frac{\sum(x - \bar x)^2}{n -1}\)
This gives
\(\sigma^2 = \frac{(11 - 8)^2 + (6 - 8)^2 + (10 - 8)^2 + (6 - 8)^2+(7 - 8)^2}{5 -1}\)
\(\sigma^2 = 5.5\)
Hence, the variance is 5.5
How to calculate the standard deviationIn (a), we have:
\(\sigma^2 = 5.5\)
Take the square roots of both sides
\(\sqrt{\sigma^2} = \sqrt{5.5\)
\(\sigma = 2.35\)
Hence, the standard deviation is 2.35
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Round the fraction to 0, 1/2, or 1.
9/10
Answer:
round to 1
Step-by-step explanation:
it is closest to 1 so it wouldnt make sense to round to a number farther away
−3z−z :Give answer, please
Answer:
-4z
Step-by-step explanation:
Simply add the z, which is a variable together.
Answer:
-4z
Step-by-step explanation:
No entiendo como convertir a las fracciones a números decimales
Respuesta:
Dividir, fracción es una división.
Paso a Paso:
Para convertir fracciones a numeros decimales, simplemente tienes que dividir los terminos. Una fracción es una división.
En este caso, 10 dividido en 2 es igual a 5. Como -1 dividido en 2 es igual a 0.5.
A rack has a volume of 10 cm3 and a mass of 25g. What is the density?
Answer:
Step-by-step explanation:
density is mass divided by volume, so 25g divided by 10 cm = 2.5 g
what is the distance between (3,-4) and (6,9)
Answer: 5,922 km
Step-by-step explanation: multiply the value in kilometers by the conversion factor '0.62137119223742'.
So, 5922 kilometers = 5922 × 0.62137119223742 = 3679.76020043 miles.
help me with my work pls
Answer:
-75/4
Step-by-step explanation:
75 x 100 = 7500
4 x 100 = 400
in a bag there are 6 red marbles, 4 blue marbles and 8 green marbles what is the probability that you will draw a green marble
Answer:
4/9 or 44.4444%
Step-by-step explanation:
There are a total of 18 marbles in the bag, 8 of them being green, the probability you draw a green one is 8/18 which simplifies to 4/9
Find the missing value in the ratio table
Here are the completed tables:
Coffee (ounces) 4 8 12 16
Cream (ounces) 3/8 3/32 1 1/8 1 1/2
Yards 4 8.7 13.6 25
Seconds 6.4 10 15.6 40
What are the missing values?Ratio is a concept that is used in mathematics to compare two or more numbers together. It shows the relationship between two or more numbers. Increase in the value of numbers that ratios to each other increase at a proportional rate.
The first step is to determine the amount of cream that is needed for 1 coffee = 3/8 ÷ 4
= 3/8 x 1/4 = 3/32
Amount of cream needed for 8 coffees = 3/32 x 8 = 3/4
Amount of cream needed for 16 coffees = 3/32 x 16 = 1 1/2
Now determine how much coffee is needed for 1 ounces of cream
4 ÷ 3/8
= 4 x 8/3 = 10 2/3
Amount of coffee needed for 1 1/8 ounces of cream = 10 2/3 x 1 1/8
32 / 3 x 9/8 = 12
Determine how many seconds is in 1 yard : 6.4 / 4 = 1.6
Seconds in 25 yards = 1.6 x 25 = 40
Determine how many yard is in 1 second : 4 / 4.6
Yards in 10 seconds = 4/4.6 x 10 = 8.7
Yards in 15.6 seconds = 4 / 4.6 x 15.6 = 13.6
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mitos com a 15 A landscape designer is designing a garden in the shape of a right triangle. Which of the following could NOT be the lengths of the sides of the triangle? A 16 m, 30 m, 34 m B 10 yd, 14 yd, 17 yd 10 yd, 10.5 yd, 14.5 yd 18 ft, 24 ft, 30 ft C D
Answer:
B. 10 yd., 14 yd., 17 yd.
Step-by-step explanation:
In a right triangle, the squares of the sums of the two shorter sides must equal the square of the longer side(which is the hypotenuse)
From the combinations given only the set 10 yd, 14 yd. and 17 yd does not obey this rule
10² + 14² = 296
17² = 298
So this does not match
Please help this is due tomorrow!!!
Answer:
Use the Pythagorean therm
Step-by-step explanation:
A squared(one leg) + B square(one leg) = C(aka the hypotenuse)
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The Language Arts department conducts a study to see if the number of books a student reads per month affects the score on the SAT Verbal Test. Here is the data that the Language Arts department collected for 8 students. Create the scatter plot for this data set. What is the equation of the line of best fit?
A scatter plot visually represents the relationship between two variables. It shows a positive correlation between the number of books read per month and SAT Verbal Test scores, with the equation y = 6.4828x + 520.6962.
A scatter plot is a graphical representation of a set of data that allows the observer to observe the relationship between two variables. It is used to graphically display how one variable is affected by the other. It is a chart of data points plotted on a two-dimensional graph with one variable represented on the X-axis and the other variable on the Y-axis.
Scatter Plot of the Data: From the data provided by the Language Arts department, we can create the scatter plot as shown below:
Equation of the line of best fit: The line of best fit is a straight line that is used to model the relationship between the two variables. It is determined by minimizing the sum of the squares of the differences between the observed values and the predicted values.
From the scatter plot, we can see that there is a positive correlation between the number of books read per month and the score on the SAT Verbal Test. This suggests that the more books a student reads per month, the higher their score on the SAT Verbal Test.
The equation of the line of best fit for the given data set is y = 6.4828x + 520.6962. Here, y represents the score on the SAT Verbal Test and x represents the number of books read per month.
To find the equation of the line of best fit, we can use a regression analysis tool such as Excel. The regression analysis will give us the values of the slope and intercept of the line of best fit, which we can use to write the equation of the line.
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Jeremy wants to give a 20% gratuity to his cab driver. His fare is $35.50. What is the total amount he will pay the driver?
Answer:
$42.60.
Step-by-step explanation:
You multiply 35.50 by .20 (that's decimal version of 20%) which equals 7.10. Then you add 35.50+7.10=42.60
Find the area.
A. 1100 m2
B. 533 m2
C. 1066 m2
D. 338 m2
Answer:
533m
Step-by-step explanation:
41x26 divide by 2
A triangle is a three-edged polygon with three vertices. The area of the ΔDNE is 533 meters². The correct option is B.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the triangle is half the product of its base and its height.
Area of triangle = (1/2) × base × height
Given the base of the triangle is 41 meters, while the height of the triangle is 26 meters.
Now, the area of the triangle DNE is,
Area of triangle = (1/2) × base × height
Area of ΔDNE = (1/2) × 41 meters × 26 meters
= 533 meters²
Hence, the area of the ΔDNE is 533 meters².
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What are the factors of 42 to find it’s prime numbers and how do I put it in a factor tree
Answer:
See below
Step-by-step explanation:
Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.
Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.
The owners of a house want to knock down the wall between the kitchen and the family room.
The area of the family room is x² + 10 + 24 and the area of the kitchen is x² + 7x + 12. Write an
expression that represents the area of the new combined space.
Answer:
\(2x^2+7x+46\)
Step-by-step explanation:
\((x^2+10+24)+(x^2+7x+12) \\ \\ =x^2+34+x^2+7x+12 \\ \\ =2x^2+7x+46\)
-6 + (-3) - (-2) =
A. 11
B. 7
C. -7
D. -11
Answer:
C. -7
Step-by-step explanation:
Robert can mow a 600 square lawn in 1 hour and 20 minutes. How many lawns in the same size's can he mow in 8 hours?
Ben's Barbershop has a rectangular logo for their business that measures 7(1)/(5) feet long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo.
An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M
Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:
A = L x W
where A is the area of the logo, L is the length of the logo, and W is the width of the logo.
Substituting the given values, we get:
A = (7(1)/(5)) x M
or
A = (36/5) x M
Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:
A = X
Combining both equations, we get:
X = (36/5) x M
This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.
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Which formula gives the trade discount when the list price and single discount rate are given?
Question content area bottom
Part 1
A.
list price times single discount rate
B.
net price times single discount rate
C.
base equals portion times rate
D.
trade discount times single discount rate
Answer:
I believe it's
Step-by-step explanation:
A
however I could be wrong
Helppppp please!!!!!
Answer:
the pattern is they all end at the same length
Step-by-step explanation:
Madison bought 58 invitations for $87. If each invitation is the same price,
how much would it cost her to buy 70 invitations?
Show your work.
Answer:
We can use proportion to solve this problem.
Let x be the cost of one invitation.
We can set up a proportion:
58/x = 87/1
To solve for x, we can cross-multiply:
58 * 1 = 87 * x
58 = 87x
x = 58/87
x = 0.67
So one invitation costs $0.67.
To find the cost of 70 invitations, we can multiply the cost of one invitation by 70:
70 * $0.67 = $46.90
Therefore, it would cost Madison $46.90 to buy 70 invitations.
Please hurry I need this fast
Answer:
C
Step-by-step explanation:
Answer:a
Step-by-step explanation: a
select an expression that is equivalent to 2^4/8
Answer:
The answer is C
Step-by-step explanation:
c. 8√(2^4 )
given 2^(4/8) can be written as 2^(4×1/8)
eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4
further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2
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Solve this please. 3(-2)(5)(-1)(0)
Answer:
0.
Step-by-step explanation:
Multiplying 3, -2, 5, -1, and 0, we get:
3 x -2 x 5 x -1 x 0 = 0
So, 3(-2)(5)(-1)(0) = 0.
Answer:
Step-by-step explanation:
5x-2=-10x-1=10x3=30x0=0
0 is the very last answer