After an office party, 4 1/3 pizzas are left. A day later, there are 1 5/6 pizzas left. How munch pizza was eaten during the day after the party
Answers
Answer:
15/6 pieces of pizza were eaten. Which is equivalent to 2.5. So 2.5 pizzas were eaten.
Step-by-step explanation:
Just did the math. Convert 4 1/3 to 0/6. So 1 times 2 is 2, and 3 times 2 is 6. Which would give you 4 2/6 which has the same denominator as 1 5/6.
Related Questions
if i roll standard -sided dice and multiply the number on the face of each die, what is the probability that the result is a composite number?
Answers
The probability that the result is a composite number is calculated as 0.99 using the given data.
What in mathematics is a probability?In everyday speech, the term "probability" refers to the likelihood that a specific event (or set of events) will take place, expressed as a number between 0 and 100% or as a linear scale from 0 (impossibility) to 1 (certainty).
Let,
A - the result is a composite number
A' - the result is not a composite number
Number of possible numbers appearing on dice = 6⁵ = 7776
A' = {11111, 21111, 12111, 11211, 11121, 11112}
Total number of results that are not composite numbers = 6
Total number of results that are composite numbers = 7776-6
= 7770
Probability that the result is a composite number = 7770/7776
= 0.99
Therefore, the probability that the result is a composite number is calculated as 0.99.
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Some values of the input to a system are u= [7.8 14.428.831.239 ]. With these input values, the values of the output of the same system are y=[3366138150189]. The best linear relationship between u and y is y=au+c. What is error sum of squares (or sum of squared ?errors)
Answers
Calculating the error sum of squares (or sum of squared errors) for the given linear relationship y = au + c, we need to compare the predicted values of y (denoted as ŷ) based on the linear relationship with the actual values of y.Let's start by calculating the predicted values of y (ŷ) using the linear equation:ŷ = au + c.
Given u = [7, 8, 14, 4, 8, 3, 1, 2, 3, 9] and y = [33, 661, 381, 501, 89], we can rewrite the equation as:
ŷ = a * u + c
Substituting the given values, we have:
ŷ = a * [7, 8, 14, 4, 8, 3, 1, 2, 3, 9] + c
Now, we need to find the values of a and c that minimize the sum of squared errors. To do that, we can use a technique called least squares regression. The formula to calculate the least squares solution is:
a = ((N * ∑(u * y)) - (∑u * ∑y)) / ((N * ∑(u^2)) - (∑u^2))
c = (1 / N) * (∑y - a * ∑u)
where N is the number of data points, ∑ denotes summation, * denotes element-wise multiplication, and ^2 denotes squaring.
Let's calculate the values of a and c:
N = 10 # Number of data points
∑(u * y) = sum(u * y) = 7 * 33 + 8 * 661 + 14 * 381 + 4 * 501 + 8 * 89 = 6636 + 5288 + 5334 + 2004 + 712 = 19974
∑u = sum(u) = 7 + 8 + 14 + 4 + 8 + 3 + 1 + 2 + 3 + 9 = 59
∑y = sum(y) = 33 + 661 + 381 + 501 + 89 = 1665
∑(u^2) = sum(u^2) = 7^2 + 8^2 + 14^2 + 4^2 + 8^2 + 3^2 + 1^2 + 2^2 + 3^2 + 9^2 = 49 + 64 + 196 + 16 + 64 + 9 + 1 + 4 + 9 + 81 = 493
(∑u)^2 = 59^2 = 3481
a = ((N * ∑(u * y)) - (∑u * ∑y)) / ((N * ∑(u^2)) - (∑u^2)) = (10 * 19974 - 59 * 1665) / (10 * 493 - 3481) = 14390 / 1450 = 9.928275862068966
c = (1 / N) * (∑y - a * ∑u) = (1 / 10) * (1665 - 9.928275862068966 * 59) = 166.5 - 587.5758620689655 = -421.0758620689655
Now, we can calculate the predicted values of y (ŷ) using the calculated values of a and c:
ŷ = 9.928275862068966 * u - 421.0758620689655
Next, we calculate the sum of squared errors (SSE) using the formula:
SSE = ∑((y - ŷ)^2)
Let's calculate the SSE:
SSE = (33 - (9.928275862068966 * 7 - 421.0758620689655))^2 + (661 - (9.928275862068966 * 8 - 421.0758620689655))^2 + (381 - (9.928275862068966 * 14 - 421.0758620689655))^2 + (501 - (9.928275862068966 * 4 - 421.0758620689655))^2 + (89 - (9.928275862068966 * 8 - 421.0758620689655))^2
Simplifying the above expression will give us the SSE.
Please note that the given values for u and y in your question are not consistent (u has 4 values, while y has only 1 value).
I assumed that there was a typo and used the corrected values for the calculations.
If the values provided in your question are correct, please provide the correct values for u and y.
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(50 points) if anyone sees this can they help me out?
Classify each statement about the function f(x)=2x3+3 as true or false.
A) The domain of the function is all real numbers.
B) The range of the function is (−∞, 2).
C) The function has two x-intercepts.
D) The center of symmetry is (0, 3).
The function f(x)=(x−2)3 is transformed to g(x)=(x+1)3−2.
What transformations are performed from function f to function g?
A) Function f is translated to the left 2 units.
B) Function f is translated to the left 3 units.
C) Function f is translated up 1 units.
D) Function f is translated down 2 units.
The function f(x)=x+4−−−−√3 is transformed to f(x)=x−1−−−−√3+3.
What transformations are performed from function f to function g?
A) Function f is translated to the right 3 units.
B) Function f is translated down 1 unit.
C) Function f is translated to the right 5 units.
D) Function f is translated up 3 units
Graph this polynomial function by using its intercepts.
f(x)=x3+3x2−4x−12
Plot the points that represent the x- intercepts and y-intercept on the graph
Answers
For the first part of the question, here is my classification of each statement:
A) True. The domain of the function is all real numbers.
B) False. The range of the function is all real numbers.
C) False. The function has no x-intercepts.
D) False. The center of symmetry is (0, 0).
For the second part, the transformations performed from function f to function g are:
A) Function f is translated to the left 3 units.
For the third part, the transformations performed from function f to function g are:
A) Function f is translated to the right 3 units.
B) Function f is translated up 3 units.
For the last part, you would need to find the x and y-intercepts of the polynomial function, and plot them on the graph. The x-intercepts can be found by setting x=0 in the equation and solving for y. The y-intercept can be found by setting y=0 and solving for x. Once the intercepts are found, you can plot them on the graph and connect them to form the graph of the polynomial function.
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
A is true because any real value of x will always produce a real value of yB is not true because it would contradict option A as explained previouslyC is not true because there is only one positive real root by Descartes' Rules of Signs, so there is only one real root and two imaginary rootsD is true because the function is odd, so it is held that f(-x) = -f(x) which is true for the given functionProblem 2
A is falseB is trueC is falseD is trueProblem 3
I cannot read your problem
Problem 4
\(f(x)=x^3+3x^2-4x-12\\0=x^3+3x^2-4x-12\\0=x^2(x+3)-4(x+3)\\0=(x^2-4)(x+3)\\0=(x-2)(x+2)(x+3)\\x_1=-3,\,x_2=-2,\,x_3=2\)
Hence, the graph of the function would have points at (-3,0) (-2,0) and (2,0).
I WILL MARK BRAINLYEST
3. Solve the equation:
3/4z-10=-3(1/4z+1/3)
-6
6
7 1/3
13.5
Answers
Answer:
The solution for your question is X=6
Find the volume of the solid obtained by revolving equilateral triangle of side length 2 around one of its sides. Sketch a diagram and indicate which method you are using: Washer Method Shell Method
Answers
The volume of the solid formed by revolving an equilateral triangle around any of its sides of length 2 is π /√3 units .
From the diagram we can see that the washer method will be used to calculate the are of the solid formed.
The solid formed is in the form of a cone.
Volume of a cone = 1/3 πr²h
Here the radius of the cone = diameter / 2 = 2/2 = 1 units.
Height of the cone is calculated using the Pythagoras theorem of a right angled triangle
radius² + height² = side ²
or, height² = 4 - 1
or, height = √3
Volume of the cone = 1/3 πr²h
Substituting the values we get:
V = 1/3 π 1²√3 = π /√3
Therefore the volume of the cone thus formed is π /√3 cubic units.
A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex.
The base may only be a circle, any closed one-dimensional figure, any one-dimensional quadratic form in the plane, or any combination of the above plus all the enclosed points, depending on the author.
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Steve weighs 18 more pounds than Ryan. If their weight totals 144 pounds, how much does Ryan weigh?
Answers
Answer:
A) Steve = Ryan +18
B) Steve + Ryan = 144
A) Steve -Ryan = 18 then adding B
B) Steve + Ryan = 162
2 Steve = 162
Steve weighs 81 pounds
Ryan weighs (81 -18) pounds 63 pounds
Step-by-step explanation:
X + 18 = Steve’s weight
144 = total weight for both
X + X + 18 = 144 ( equation)
2X = 144 -18 (group your equation)
2X/2 = 126/2 (divide both sides by 2)
X = 63 ( Ryan’s age)
X + 18 = 81 ( Steve’s age)
In a run chart, the variable being measured is typically placed on what axis?
(A) X axis
(B) Y axis
(C) Either axis
(D) Neither axis;
Answers
You walk 1/4 miles to a music store. Then you walk another 1/3 miles to a clothing store. How many miles have you walked in all?
Answers
Answer: The answer is 7/12
Step-by-step explanation:
First, multiply the denominators by each other (4*3) and you get 12. Then 12 is the main denomanator. Then multiply the numberators by the opposite numberator. (3*1 and 4*1). Then you will put (4/12+3/12) which you add the numberators together but keep the same denomerator and you will get (7/12)
Scientists studying dolphin echolocation simulate the projection of a bottlenose dolphin's clicking sounds using computer
models. The models originate the sounds at the focus of a parabolic reflector. The parabola in the graph shows the cross
section of the reflector with focal length of 1.3 inches and aperture width of 8 inches. Write an equation to represent the cross
section of the reflector. What is the depth of the reflector? Round your answer to the nearest hundredth.
The equation __ represents the cross section.
The depth is about __ inches.
Answers
Step-by-step explanation:
The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:
(y - k)^2 = 4 * f * (x - h)
In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:
y^2 = 4 * f * x
= 4 * (-1.3) * x
= -5.2x
The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.
which of the following statements is true about a rational function of the form where g and h are polynomial functions?
Answers
The true statement about the function is that (c) the domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.
How to determine the true statement of the function f(x)?The complete question is added at the end of this solution
From the complete question, we have the following equation
f(x) = g(x)/h(x)
The above equation means that
The function f(x) is the quotient of the functions g(x) and h(x)
For the function f(x) to have real values, the function h(x) must not equal 0
i.e. h(x) ≠ 0
This is so because
A number or an expression divided by 0 is not a real number
Hence, the true statement is that the domain of f(x) consists of all values of x where h(x) does not equal 0.
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Complete question
which of the following statements is true about a rational function of the form where g and h are polynomial functions?
A. If the rational function has a removable discontinuity, then it cannot have a vertical asymptote. g(x)
B. The rational function f(x) h(x) will have a removable discontinuity at x = a if g(a) = 0. g(x)
C. The domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.
D. If the rational function has a removable discontinuity, then it cannot have a horizontal asymptote.
Jamiel gets a loan for $2,000 from the bank with an annual interest of 7% compounded monthly. There is a $50 processing fee in order to receive the loan.
The APR for this loan is
7.12%
13.62%
9.73%
20.89%
Answers
The total cost of the loan is: $2,000 + $160.03 + $50 = $2,210.03 The APR (Annual Percentage Rate) represents the true cost of borrowing money over the course of a year, including all fees and charges.
To calculate the APR for Jamiel's loan, we need to take into account both the interest rate and the processing fee.
The interest rate of Jamiel's loan is 7% per year, compounded monthly. This means that the bank will add 7/12 percent interest to the loan balance every month. To calculate the monthly interest rate, we divide the annual rate by 12:
7% / 12 = 0.5833%
Next, we need to calculate the total amount of interest that Jamiel will pay over the course of the year. Since the loan is compounded monthly, we can use the following formula:
FV = PV x (1 + r)n
Where FV is the future value of the loan, PV is the present value (in this case, $2,000), r is the monthly interest rate (0.5833%), and n is the number of months (12). Plugging in the values, we get:
FV = 2,000 x (1 + 0.005833){power}12 = $2,160.03
This means that Jamiel will pay $160.03 in interest over the course of the year.
Now, let's add in the processing fee of $50. The total cost of the loan is:
$2,000 + $160.03 + $50 = $2,210.03
Finally, we can calculate the APR by dividing the total cost of the loan by the initial loan amount is $2,210.03.
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A video game awards 4 points for defeating a monster and 9 additional points for getting to the end of a stage. Let m represent the number of monsters a player defeated in a stage and p represent the total number of points the player earned after finishing the stage. Complete the equation that represents the relationship between m and p. m p 3 21 4 25 5 29 6 33 p= m+
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Point awarded for defeating a monster = 4
Points awarded for getting to the end of a stage = 9
Number of monsters defeated = m
Total number of points earned after finishing a stage = p
Total point earned = (Point awarded for defeating a monster * number of monsters) + points awarded for getting to final stage
p = (4 * m) + 9
p = 4m + 9
You are working with the following selection of a spreadsheet: a b 1 customer address 2 sally stewart 9912 school st. North wales, pa 19454 3 lorenzo price 8621 glendale dr. Burlington, ma 01803 4 stella moss 372 w. Addison street brandon, fl 33510 5 paul casey 9069 e. Brickyard road chattanooga, tn 37421 in order to extract the five-digit postal code from brandon, fl, what is the correct function?
Answers
The correct function that gives the right syntax for the given data analysis is; =RIGHT(B3,5)
How to Interpret Data Cleaning Analysis?Data cleaning is defined as the process of fixing or removing data that are incorrect, incorrectly formatted, duplicate, corrupted, or even incomplete data that exists within a dataset.
Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.
Now, from the question, we can see the given data of the spreadsheet with customer names and address and as such, we can easily say that the correct syntax is =RIGHT(B3,5). This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.
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11,15,8,2,7,10,9,12,11,8,12,3,14,8,1,9 Which dot plot represents this data
Answers
Answer:
The only choice showing the correct distribution of frequencies is c.
Step-by-step explanation:
Data Plots
Considering the provided data:
{11,15,8,2,7,10,9,12,11,8,12,3,14,8,2,9}
To produce a data plot, it's convenient to sort the data:
{2,2,3,7,8,8,8,9,9,10,11,11,12,12,14,15}
It's easier now to see the frequency of each data:
# :f
-----
2 :2
3 :1
7 :1
8 :3
9 :2
10:1
11:2
12:2
14:1
15:1
The only choice showing the correct distribution of frequencies is c.
BRAINIEST ANSWER
:)) please help me out!
Answers
Answer:
1,296 cm³Step-by-step explanation:
Now the formula to find the volume of a pyramid is \(V=\frac{lwh}{3}\)
We know the length, width and height so let´s get started!
First let´s multiply to find the base. To do so, we will do length × width.
18 × 18 = 324
Now multiply by the height
324 × 12 = 3,888
After you multiply all length, width and height, we need to divide by three.
3,888 ÷ 3 = 1,296
Before we finish, we need to do the last two steps
First we need to add the measurement unit which is centimetres or cm.
We also need to add ³ since it is volume
1,296 cm³ is our final answer
- 2x + 5y = -15 How many solutions does the system have? V exactly one The solution to the system is 5x + 2y = -6 How could you solve this system using elimination? Check all that apply. * Multiply the first equation by 2 and the second equation by 5, then add. Multiply the first equation by 5 and the second equation by 2. Then add. Multiply the first equation by 2 and the second equation by 5, then subtract. Multiply the first equation by 5 and the second equation by 2, then subtract.
Answers
Answer:
Multiply the first equation by 5 and the second equation by 2. Then add.
Multiply the first equation by 2 and the second equation by 5, then subtract.
Step-by-step explanation:
Given
\(- 2x + 5y = -15\)
\(5x + 2y = -6\)
Required
Steps to solve using elimination method
From the list of given options, option 2 and 3 are correct
This is shown below
Option 2
Multiply the first equation by 5
\(5(- 2x + 5y = -15)\)
\(-10x + 25y = -75\)
Multiply the second equation by 2.
\(2(5x + 2y = -6)\)
\(10x + 4y = -12\)
Add
\((-10x + 25y = -75) + (10x + 4y = -12)\)
\(-10x + 10x + 25y +4y = -75 - 12\)
\(29y = -87\)
Notice that x has been eliminated
Option 3
Multiply the first equation by 2
\(2(- 2x + 5y = -15)\)
\(-4x + 10y = -30\)
Multiply the second equation by 5
\(5(5x + 2y = -6)\)
\(25x + 10y = -30\)
Subtract.
\((-4x + 10y = -30) - (25x + 10y = -30)\)
\(-4x + 25x + 10y - 10y= -30 +30\)
\(21x = 0\)
Notice that y has been eliminated
Answer:
How many solutions does the system have?
✔ exactly one
The solution to the system is
(
⇒ 0,
⇒ -3).
Step-by-step explanation:
the next two parts
The covariance of Security X's returns and Security Y’s returns is 10, and the variance of Security X's returns is 13% and the variance of Security Y's returns is 17%. The correlation coefficient of the security X and Y returns is closest to:
1 1.83
2 0.67
3 0.25
4 0.05
Answers
The correlation coefficient of the security X and Y returns is closest to 0.67, indicating a moderate positive correlation between the two securities.
The correlation coefficient of the security X and Y returns is closest to 0.67. This can be calculated by dividing the covariance of the returns by the square root of the product of the variances of X and Y.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1, with values close to 1 indicating a strong positive correlation, values close to -1 indicating a strong negative correlation, and values close to 0 indicating a weak or no correlation.
In this case, the given covariance is 10, the variance of Security X's returns is 13%, and the variance of Security Y's returns is 17%. To calculate the correlation coefficient, we use the formula:
Correlation coefficient = Covariance / (\(\sqrt{}\)(Variance_X) * \(\sqrt\)(Variance_Y))
Plugging in the values, we get:
Correlation coefficient = 10 / (\(\sqrt\)(13%) * \(\sqrt\)(17%)) ≈ 0.67
Therefore, the closest option is 0.67, indicating a moderately strong positive correlation between the returns of Security X and Security Y.
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Determine the probability of being dealt 4 Aces of cards, from a deck of 52 playing cards, with a replacement.
Answers
Before finding the probability of being dealt 4 Aces of cards, let's find the probability of being dealt an Ace card on each draw.
The probability of getting an specific card from a deck is given by the ratio between the amount of this specific card and the total amount of cards. We have 4 Aces in a deck, and 52 cards, therefore, the probability of getting an Ace is
\(\frac{4}{52}=\frac{1}{13}\)Since the cards are replaced, it is the same probability of getting an Ace on each draw.
Each draw is an independent event, the probability of them happening simultaneously is given by their product. The probability of being dealt 4 Aces of cards with a replacement is
\(\frac{1}{13}\times\frac{1}{13}\times\frac{1}{13}\times\frac{1}{13}=\frac{1}{13^4}=\frac{1}{28561}=0.00003501277\ldots\)use the law of sines to find the missing side of the triangle
Answers
Using the law of sine, the missing side of the triangle is approximately 4.01 units.
The law of sines states that for any triangle ABC with sides a, b, and c opposite to angles A, B, and C respectively
a / sin(A) = b/sin(B) = c / sin(C)
Using this law, we can find the missing side b as follows:
b/sin(B) = c/sin(C)
Since angle B and angle C are complementary, we can find angle C as:
C = 180 - A - B = 180 - 58 - 48 = 74 degrees
Now we have
b/sin(48) = 5/sin(74)
Solving for b, we get
b = (5 x sin(48))/sin(74) ≈ 4.01 units
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The given question is incomplete, the complete question is;
use the law of sines to find the missing side of the triangle
Help me please!
w-7(w-7)
Answers
Answer:
-6w+49
Step-by-step explanation:
w-7(w-7) <-- Distribute the -7
w-7w+49 <-- Combine like terms
-6w+49
In a bag of marbles. 4 are white, 5 are
blue, and 11 are red. What is the
probability of NOT drawing a blue
marbler
Answer
Answers
Answer:
15/20 simplified is 3/4
Step-by-step explanation:
So a 3/4 chance or a 75% chance of not drawing a blue marble.
Eric and Scott's ages are consecutive odd integers. In three years, the product of their future ages will be 10 more than twice the product of their current ages. What are the current ages of Eric and Scott?
Answers
Eric's age is 5.
Scott's age is 7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Eric's age = x
Scott's age = x + 2
In three years, the product of their future ages will be 10 more than twice the product of their current ages.
This means,
(x + 3) (x + 2 + 3) = 2 {x(x + 2)} + 10
Solve for x.
(x + 3) (x + 5) = 2(x² + 2x) + 10
x² + 5x + 3x + 15 = 2x² + 4x + 10
x² + 8x + 15 = 2x² + 4x + 10
2x² - x² + 4x - 8x + 10 - 15 = 0
x² - 4x - 5 = 0
Using middle-term factorization.
x² - (5 - 1)x - 5 = 0
x² - 5x + x - 5 = 0
x (x - 5) + 1(x - 5) = 0
(x - 5) (x + 1) = 0
x - 5 = 0 and x + 1 = 0
x = 5 and x = -1 (rejected)
Now,
Eric's age = 5
Scott's age = 5 + 2 = 7
Thus,
Eric's age = 5
Scott's age = 5 + 2 = 7
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Please help me asap
DO NOT USE LINKS
Answers
2. b = 7
3. c = -3
4. d = 6
5. e = 1
6. f = 2
MATH HELP!!! 100PTS plus BRAINLIEST!!!!
The formula C=59(F−32), where F≥−459.67 expresses the Celsius temperature C as a function of Fahrenheit temperature F.
1. Find the formula for the inverse function.
Answer: C^−1(F)=
9F/5+32 (I'm right about this one)
2. What is the domain of the inverse function C^−1 ?
Answer (in interval notation):(for some reason it keep telling me wrong :( )
Answers
Answer:
\(\textsf{1.} \quad C^{-1}(F)=\dfrac{9}{5}F+32\)
2. [-273.15, ∞)
Step-by-step explanation:
Given:
\(C=\dfrac{5}{9}(F-32), \quad \text{where }F \geq -459.67\)
To find the inverse of the given function, make F the subject:
\(\begin{aligned}C & =\dfrac{5}{9}(F-32)\\\implies \dfrac{9}{5}C & =F-32\\\implies F & = \dfrac{9}{5}C+32 \end{aligned}\)
\(\textsf{Replace the } F \textsf{ with }C^{-1}(F)\textsf{ and the }C \textsf{ with } F:\) :
\(\implies C^{-1}(F)=\dfrac{9}{5}F+32\)
Domain: set of all possible input values (x-values)
Range: set of all possible output values (y-values)
The given domain of the function C(F) is F ≥ -459.67
Therefore, the minimum value of the function is:
\(\implies C(-459.67)=\dffrac{5}{9}(-459.67-32)=-273.15\)
This means the range of the function C(F) is C(F) ≥ -273.15
The domain of the inverse function is the range of the function.
Therefore, the domain of the inverse function in interval notation is: [-273.15, ∞)
Answer: -273.15
Step-by-step explanation:
The 99 confidence interval for a population proportion is [0.24, 0.86]. what is the sample mean proportion?
Answers
The sample mean proportion is 0.55.
The question is asking for the sample mean proportion. To find the sample mean proportion, we need to take the average of the lower and upper bounds of the confidence interval.
In this case, the lower bound of the confidence interval is 0.24 and the upper bound is 0.86. To find the sample mean proportion, we add these two values together and divide by 2:
(0.24 + 0.86) / 2 = 1.1 / 2 = 0.55
Therefore, the sample mean proportion is 0.55.
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Deborah has 104 baseball cards. She gave 16 baseball cards to her brother Corey. Then she put the remaining baseball cards in an album with 9 baseball cards on each page. How many pages of the album did Deborah use to store all of the baseball cards? Explain your thinking.
Answers
Answer:
She used 9-10 pages in total.
Step-by-step explanation: Once she gave away 16 cards, she was left with 88. If each page fills up with 9 cards it would take her around 9 pages to put 81 cards, so she would have a remainder of 7 cards so she would end up needing 1 more page that will have 7 cards and not 9.
How can you apply it triangle congruence to real life situation?
Answers
Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.
The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.
Congruence :
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.
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A seventh grade student chooses a random sample of 50 out of 400 students. He finds that 7 students have traveled outside the United States. The students claim that over 50 of the 400 students have likely traveled outside the United States. Is the student correct? Explain.
Answers
Answer:
Yes.
Step-by-step explanation:
Since he only sampled 50/400, 50 of 400 is 1/8.
7x8=56.
One day 1 2 tried to make a pie. Unfortunately, she only had 3, and no sugar, so she decided to use 4 to sweeten it. The pie bubbled over in the oven and looked a mess. Not one to be discouraged, she decided to remedy the situation by covering the pie with 5 . When her 6 came over, and saw what she'd done, they 7 because 8 her pie ended up 9 but the 10 still needs to be cleaned
Answers
Answer:
even though there's no options or context,most likely answers are 1.little
2.Suzzy
3. flour
4.molases
5.foil
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Amazon Math Flow Questions • You have 30 associates who all work an 8 hour day, 5 days a week. 2 need to be indirect-they are not on the floor producing. Your direct rate is 150 units per hour but you have two 15 minute breaks during the day. How many units can your department produce in a 40 hour week? . If you need to produce an extra 10,000 units in a given week how many extra people will it require? Question: Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a... Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a total of 60 sandwiches. The deli wants an efficient way to increase the sandwich output using the same five workers and 10 hour shift (Don't Factor Break in) to produce 75 because of the 25% increase due to the expansion of the deli. What would you do to make the the process more efficient? Where each sandwich would take 8 minutes to make instead of 10 minutes. Please answer the question throughly.
Answers
Extra people required is 50.
Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Question 1 :
Number of associates = 30
Number of direct workers = 30 - 2 = 28
You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.
Direct rate = 150 units per hour
Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week
= 37.5 hours per week
Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units
28 people produce 5625 units in a week
Let x people produce 10,000 + 5625 = 15,625 units in a week
Using proportion,
28 : 5625 = x : 15,625
28 / 5625 = x / 15,625
x = (28 × 15,625) / 5625 = 77.78 ≈ 78
Extra people required = 78 - 28 = 50
Question 2 :
Number of sandwiches made in 10 minutes = 1
Number of sandwiches made in 10 hours = 60
5 workers are there. one worker makes 60/5 = 12 sandwiches
But Deli want number of sandwiches in 10 hours = 75
One worker should make 75/5 = 15 sandwiches instead of 12.
Number of sandwiches made in 8 minutes should be 1.
So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.
Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.
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