Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.
The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.
The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):
Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.
Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.
To learn more about cost click here, brainly.com/question/14566816
#SPJ11
The function f(t)=9300(0.994)t represents the change in a quantity over t minutes. What does the constant 0.994 reveal about the rate of change of the quantity?
The function is ________exponentially at a rate of _______% every _______.
Please!!!! Help
Answer:
Step-by-step explanation:
NOSEEEEEE
Which best describes why these two figures are similar or not similar?
Answer:
first one top left
Step-by-step explanation:
Solve for f.
8 = 2f + 2
Answer:
f = 3
Step-by-step explanation:
8 = 2f + 2
-2 -2
6 = 2f
/2 /2
3 = f
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=17 degrees
Step-by-step explanation:
All 3 angles = 180 degrees
So 90 + 54 + (x+19) = 180
Combine like terms
163 + x = 180
Subtract 163 from both sides
x = 180-163
x = 17
when a person concludes that there is a difference between population means when she has actually observed an improbable difference between two sample means that come from identical populations, she has made
If the person concludes that there is a difference based on this rare occurrence, they are committing a Type I error. To avoid this error, it is important to set an appropriate level of significance.
When a person concludes that there is a difference between population means when she has actually observed an improbable difference between two sample means that come from identical populations, she has made a Type I error. A Type I error, also known as a false positive, occurs when a hypothesis test incorrectly rejects the null hypothesis.
In this case, the null hypothesis states that there is no difference between the population means. However, due to sampling variability, there may be a rare occurrence of an improbable difference between the sample means. If the person concludes that there is a difference based on this rare occurrence, they are committing a Type I error.
To avoid this error, it is important to set an appropriate level of significance (alpha) for the hypothesis test and carefully interpret the results based on the calculated p-value.
Learn more about error
https://brainly.com/question/32985221
#SPJ11
At the movie theatre, child admission is $6.50 and adult admission is $9.60. On Monday, 129 tickets were sold for a total sales of $1071.00. How many adult tickets were sold that day?
PROBLEM SOLVING Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades
Answer:
\(\frac{1}{16}\)
Step-by-step explanation:
We will start by calculating the probability of drawing a spade from one deck, and then square it since we need to get the chance of getting two spades. We know there are 13 spades in a deck, out of 52 cards, giving us:
\(\frac{13}{52}\)
Which can be simplified to :
\(\frac{1}{4}\)
Then, we will square this fraction since we need two spades in a row:
\(\frac{1}{4} * \frac{1}{4} = \frac{1}{16}\)
So the probability is \(\frac{1}{16}\).
Hope this helped!
What is the value of the expression shown below?.
-6 + (-9)
1. -15
2. -3
3. 3
4. 15
Answer:
-15, so option 1: -15
Step-by-step explanation:
We know that adding (-9) is the same as substracting 9.
So -6 + (-9) = -6 - 9 = -15
If -9x+8y=3and6x-6y=-3are true equations, what would be the value of -15x+14y?
The value of the expression -15x+14y as calculated from the given equations is 12.
The pair of simultaneous equations are given as
-9x+8y=3............................1
6x-6y=-3
Now we will solve these equation by elimination method.
6x-6y=-3
or, 2x-2y=-3.......................2
Now multiplying equation 2 by 4 and adding to equation 1 we get:
-9x+8y=3
8x - 8y = -12
or, -x = -9
or, x = 9
Now we use this value of x to find the value of y
-9x + 8y = 3
or , -81 -3 = -8y
or, y = 10.5
Hence the value of the expression -15x+14y is
=-15(9) + (14)(10.5)
=12
The theory of linear systems serves as the foundation for the field of linear algebra, which is used in most branches of modern mathematics. Computing techniques for obtaining the solutions, which are essential to the disciplines of engineering, physics, chemistry, computer science, and economics are included in numerical linear algebra.
It is useful to approximate a system of nonlinear equations by a linear system when developing a mathematical model or computer simulation of a relatively complex system.
To learn more about equation visit:
https://brainly.com/question/16763389
#SPJ1
What is the type of the triangle of sides AB= 3 cm, AC= 5 cm and BC=7 cm?
Answer:
It is a scalene triangle because it has unequal sides
Answer:
A scalene triangle
Step-by-step explanation:
I'm just a smart guy
Appliance World places a markup on a washer/dryer combination of $295.00, which is 35%based on cost. Find the cost, then the selling price. What is the selling price of the washer/dryer? $1,098.74 $1,137.86 $1,032.19 $1,059.43
The selling price of the washer/dryer is $1,137.86. Thus, the correct answer is option b.
To find the cost of the washer/dryer, we need to reverse the markup percentage. We can do this by dividing the markup by 100 and then multiplying by the selling price.
Markup = (Markup Percentage) x (Cost)
So, if we rearrange this equation and solve for cost:
Cost = (Markup) / (Markup Percentage)
Plugging in the given information:
Cost = $295.00 / 0.35
Cost = $842.86
To find the selling price, we add the markup to the cost:
Selling Price = Cost + Markup
Selling Price = $842.86 + $295.00
Selling Price = $1,137.86
The selling price of the washer/dryer is $1,137.86.
To learn more about Cost,
https://brainly.com/question/13820610
The complete question- Appliance World places a markup on a washer/dryer combination of $295.00, which is 35%based on cost. Find the cost, then the selling price. What is the selling price of the washer/dryer? a)$1,098.74. b) $1,137.86 c)$1,032.19. d)$1,059.43
for continuous random variables, the probability of any specific value of the random variable is one. true or false
The given statement "for continuous random variables, the probability of any specific value of the random variable is one." is false because the random variable taking on any specific value is then given by the area under the PDF curve at that value, which is zero.
In fact, for continuous random variables, the probability of any specific value is zero. This may seem counterintuitive at first, but it is a fundamental property of continuous random variables.
The PDF is a function that describes the relative likelihood of the random variable taking on a particular value within its range. The probability of the random variable taking on a specific value is then given by the area under the PDF curve at that value.
Since the PDF is a continuous function, the probability of the random variable taking on any specific value is zero. This is because the area under a continuous curve at any single point is zero.
To know more about probability here
https://brainly.com/question/11234923
#SPJ4
m + cn = d for c what is the answer
Answer:
c = (d/n)-m
Step-by-step explanation:
divide n from c to get m+c=(d/n)
subtract m from m to get c=(d/n)-m
dont forget to put d over n
22
2. Which is the same as 3y-9x+6= 0
Answer:
y = 3x − 2
Step-by-step explanation:
Hope This Helps!
The function f is given by f(x) = 4x3 â€" x4. On what intervals is the graph of f concave up? (A) (-0,0) and (2,0) (B) (-0,3) (C) (0, 2) only (D) (0, 3) only
f''(x) is positive on the interval (0, 2) only, so the graph of f(x) is concave up on that interval. The correct option is (C) (0, 2) only.
To determine the intervals on which the graph of f(x) = 4x^3 - x^4 is concave up, we need to find the second derivative f''(x) and check its sign.
f(x) = 4x^3 - x^4
f'(x) = 12x^2 - 4x^3
f''(x) = 24x - 12x^2
For the graph to be concave up, f''(x) > 0.
Setting f''(x) = 0, we get
24x - 12x^2 = 0
12x(2 - x) = 0
x = 0 or x = 2.
Now we can create a sign chart for f''(x) as follows:
Intervals: (-∞, 0), (0, 2), (2, ∞)
Test value: -1 1 3
f''(x): - + -
From the sign chart, we see that f''(x) is positive on the interval (0, 2) only, so the graph of f(x) is concave up on that interval.
Therefore, the correct answer is (C) (0, 2) only.
To know more about intervals refer here :
https://brainly.com/question/29126055#
#SPJ11
Find the quotient.
2⁴.6/8
The quotient of \(2⁴.6\)divided by 8 is 12.
To find the quotient, we need to perform the division operation using the given numbers. Let's break down the steps to understand the process:
Step 1: Evaluate the exponent
In the expression 2⁴, the exponent 4 indicates that we multiply 2 by itself four times: 2 × 2 × 2 × 2 = 16.
Step 2: Multiply
Next, we multiply the result of the exponent (16) by 6: 16 × 6 = 96.
Step 3: Divide
Finally, we divide the product (96) by 8 to obtain the quotient: 96 ÷ 8 = 12.
Therefore, the quotient of 2⁴.6 divided by 8 is 12.
Learn more about
brainly.com/question/27796160
#SPJ11
without using symmetry, determine a definite integral that represents the area of the region enclosed by r = 1 sin θ .
The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ
To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.
In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.
The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.
By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.
To know more about area click here
brainly.com/question/13194650
#SPJ11
Please Help! For the table to the right, represent the relationship using words and an equation. X: 0123 Y: -3159 Write a equation.
The equation represented by the table in the right is y = 4x - 3
How to solve an equationAn equation is used to show the relationship between two or more numbers and variables.
The equation of a linear is given as:
y = mx + b
Where m is the rate of change and b is the initial value
The table have the pairs (0, -3), (1, 1), (2, 5) and (3, 9).
Using the point (0, -3) and (1, 1):
y - (-3) = [(1 - (-3))/(1 - 0)](x - 0)
y + 3 = 4x
y = 4x - 3
The equation is y = 4x - 3
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Which of the following is most likely the next step in the series?
Answer:
its either A, or B
Step-by-step explanation:
hehehhe
Answer:
B
Step-by-step explanation:
The numbers in each of the circle halves are all in the blue side therefore all numbers on the red side would be eliminated. Leaving you with the options of B or C.
Now the Blue side for every pair is facing each other. So C would be eliminated because the red side is facing the start of the second pair ( A.K.A the third circle)
Leaving us with B.
I apologies if this is wrong! But I hope I helped a little bit
The distribution of retirement age for NFL players is normally distributed with a mean of 33 years old and a standard deviation of about 2 years. What is the percentage of players whose age is less than 31? a 30.85% b 15.87% c 71.2% d 69.15%
The correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.
To find the percentage of players whose age is less than 31, we can use the standard normal distribution and z-scores.
First, we need to calculate the z-score for the value 31 using the formula:
z = (x - μ) / σ
where x is the value we want to find the percentage for, μ is the mean, and σ is the standard deviation.
In this case, x = 31, μ = 33, and σ = 2. Plugging these values into the formula, we get:
z = (31 - 33) / 2 = -1
Next, we can look up the cumulative probability associated with the z-score -1 in the standard normal distribution table. The cumulative probability represents the percentage of values that are less than the given z-score.
From the standard normal distribution table, the cumulative probability for z = -1 is approximately 0.1587, which corresponds to 15.87%.
Therefore, the correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.
Know more about Retirement here :
https://brainly.com/question/31284848
#SPJ11
at a lunch stand, each hamburger has 50 5050 more calories than each order of fries. if 2 22 hamburgers and 3 33 orders of fries have a total of 1700 17001700 calories, how many calories does a hamburger have?
A hamburger has 350 calories. So an order of fries has 320 calories, and a hamburger has 50 + 320 = 370 calories.
To solve the problem, you can use algebraic equations. Let x be the number of calories in an order of fries. Then, the number of calories in a hamburger is 50 + x. The problem tells us that 2 hamburgers and 3 orders of fries have a total of 1700 calories. This can be written as:
2(50 + x) + 3x = 1700
Simplifying and solving for x, we get:
100 + 2x + 3x = 1700
5x = 1600
x = 320
So an order of fries has 320 calories, and a hamburger has 50 + 320 = 370 calories.
Explanation:
To solve the problem, we need to set up an equation that relates the number of hamburgers and fries to the total number of calories. We can use algebraic variables to represent the unknown quantities. Let x be the number of calories in an order of fries, and let y be the number of calories in a hamburger.
The problem tells us that each hamburger has 50 + x more calories than each order of fries. This means that the number of calories in a hamburger is equal to the number of calories in an order of fries plus 50:
y = x + 50
We also know that 2 hamburgers and 3 orders of fries have a total of 1700 calories. This can be written as:
2y + 3x = 1700
Now we can substitute the first equation into the second equation to eliminate y:
2(x + 50) + 3x = 1700
Simplifying and solving for x, we get:
2x + 100 + 3x = 1700
5x = 1600
x = 320
So an order of fries has 320 calories. We can substitute this value back into the first equation to find the number of calories in a hamburger:
y = x + 50
y = 320 + 50
y = 370
Therefore, a hamburger has 370 calories.
Learn more about calories here: brainly.com/question/19240191
#SPJ11
On thanksgiving, you visit N shops and in the i-th shop spend X; amount of money. Let Y = X1 + X2 +...+Xy be the total amount of money you spend. Assume N is a positive integer random variable with a given PMF, and X; are random variables with the same mean p and variance o?. Assume that N and all the X, are independent. Show that E[Y] =uE[N] Var(Y) = a^2E[N] + u^2 Var[N].
We have derived the desired expressions: E[Y] = μE[N], Var(Y) = σ²E[N] + μ²Var[N]
To answer your question, let's start by defining the given terms:
N = number of shops visited (positive integer random variable)
Xi = amount of money spent in the i-th shop
Y = X1 + X2 + ... + XN (total amount of money spent)
μ = mean of the Xi's
σ² = variance of the Xi's
We are given that N and all Xi are independent, and we want to show that:
E[Y] = μE[N]
Var(Y) = σ²E[N] + μ²Var[N]
First, let's find E[Y]:
E[Y] = E[X1 + X2 + ... + XN]
By linearity of expectation:
E[Y] = E[X1] + E[X2] + ... + E[XN]
Since all Xi's have the same mean (μ), we can rewrite this as:
E[Y] = Nμ
Since N is a random variable, we take the expectation of N:
E[Y] = μE[N]
Next, let's find Var(Y):
Var(Y) = Var(X1 + X2 + ... + XN)
As N and all Xi are independent, we can say:
Var(Y) = Var(X1) + Var(X2) + ... + Var(XN)
Since all Xi's have the same variance (σ²), we can rewrite this as:
Var(Y) = Nσ²
Now, we need to find the variance of N:
Var(Y) = σ²E[N] + μ²Var[N]
To learn more about mean visit;
brainly.com/question/31101410
#SPJ11
A number decreased by 14 is -46. Find the number.
Answer:
-60
Step-by-step explanation:
-46-14=-60
Answer:
-46-14=-60
Step-by-step explanation:
Nina buys a new rug that matches three colors in her bedroom. The rug is a rectangle. There are eight squares on the rug. Four-eighths of the squares are green. One-fourth of the squares are purple. Are there more green squares or purple squares on the rug? The rest of the squares are blue. How many blue squares are on the rug? Use numbers and symbols to show your mathematical thinking
PLEASE HELP I HAVE 3 MINUTES
100 POINTS
Answer: More green squares. Also 3 blue squares on the rug.
Step-by-step explanation:
The question said the rug is a rectangle. There are also 8 squares on the rug. 4 squares are already taken by green squares. Proof of this is in the fraction itself: 4/8. so out of 8 squares, green occupies 4. We now have 4 squares left.
Purple occupies 1/4. That means we now have 3 squares left. Therefore, the remaining 3 squares are blue.
Answer: 3 blue squares.
In fraction terms, blue occupies 3/8ths of the rectangular rug.
Please help this is for math....
Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3
The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).
To solve the given differential equation
2xy(dy/dx) = y²
We will use separation of variables and integrate to find the solution.
Start with the given equation
2xy(dy/dx) = y²
Divide both sides by y²:
(2x/y) dy = dx
Integrate both sides:
∫(2x/y) dy = ∫dx
Integrating the left side requires a substitution. Let u = y², then du = 2y dy:
∫(2x/u) du = ∫dx
2∫(x/u) du = ∫dx
2 ln|u| = x + C
Replacing u with y²:
2 ln|y²| = x + C
Using the properties of logarithms:
ln|y⁴| = x + C
Exponentiating both sides:
|y⁴| = \(e^{x + C}\)
Since the absolute value is taken, we can remove it and incorporate the constant of integration
y⁴ = \(e^{x + C}\)
Simplifying, let A = \(e^C:\)
y^4 = A * eˣ
Taking the fourth root of both sides:
y = (A * eˣ\()^{1/4}\)
Now we can incorporate the initial condition y(2) = 3
3 = (A * e²\()^{1/4}\)
Cubing both sides:
27 = A * e²
Solving for A:
A = 27 / e²
Finally, substituting A back into the solution
y = ((27 / e²) * eˣ\()^{1/4}\)
Simplifying further
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
To know more about differential equation:
https://brainly.com/question/2273154
#SPJ4
A newborn weights 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces
The infant's weight is 7 pounds and 10 ounces using weight conversion.
To convert the weight of the newborn from grams to pounds, we need to divide the weight by the number of grams in one pound, which is 453.59. So, 3,459 grams divided by 453.59 grams per pound is equal to 7.628 pounds.
To find the weight in ounces, we need to multiply the decimal part of the pounds by 16 (since there are 16 ounces in one pound). So, 0.628 x 16 = 10.048 ounces.
Therefore, the infant's weight is 7 pounds and 10 ounces.
It is important to note that weight conversion is often used in the medical field to monitor the health and growth of newborns. By tracking their weight in pounds and ounces, doctors can ensure that they are gaining weight at a healthy rate and are meeting their developmental milestones.
This information can also be used to make adjustments to their feeding or treatment plans if necessary. It is crucial for healthcare professionals to accurately convert weight measurements to ensure the best possible care for their patients.
To learn more about weight conversion, refer here:
https://brainly.com/question/11429990#
#SPJ11
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. (2,3) and (2,5).
ok
P1 = (2, 3)
P2 = (2, 5)
1.- Find the slope
slope = m = (y2 - y1) / (x2 - x1)
-Substitution
m = (5 - 3) / (2 - 2)
m = 2/0
The slope is a horizontal line because does not exist.
2.- Find the equation of the line
y - y1 = m(x - x1)
y - 3 = 0
y = 3 This is the standard form of your question.
alice ran 8 miles over the weekend . how many kilometers did she run? 1 mile = 1.6 kilometers
Which of the following expressions are equivalent to 8 3/2?
Answer:
The answer is c and e :D Step-by-step explanation:
Answer: C, E
Step-by-step explanation: