Answer: 67 percent of all students at Ridgemont High prefer pizza for lunch.
Step-by-step explanation:
Here is the complete question:
Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, “Do you prefer pizza or a veggie burger for lunch?” and 67%, percent answered “pizza.”
Based on this data, which of the following conclusions are valid?
a. 67, percent of all students at Ridgemont High prefer pizza for lunch.
b. 67, percent of the students in the sample prefer pizza for lunch, but we cannot conclude anything about the population.
c. About 67, percent of all teenagers prefer pizza for lunch.
From the question, we are informed that Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, which is "Do you prefer pizza or a veggie burger for lunch?" and then 67, percent answered "pizza.
Based on the scenario, this shows that 67% of the students at Ridgemont High School prefers pizza whenever they want to have lunch.
Answer:
A
Step-by-step explanation:
9. John and Colin have chocolate milk
in pyramid-shaped containers like
the ones shown.
John
-6 cm
8 cm
8 cm
Colin
10 cm
5 cm
Who has more chocolate milk?
How much more?
A Colin; 1 cm³ more
B They have the same amount.
C John; 2 cm³ more
D Colin; 2 cm³ more
Colin has more chocolate milk by 1 cm³ more.
The volume of a pyramid can be calculated using the formula:
Volume = (1/3) x base area x height
John's container:
Volume = (1/3) x (8 cm x 8 cm) x 6 cm
Volume = 256 cm³
Colin's container:
Volume = (1/3) x (10 cm x 5 cm) x 8 cm
Volume = 133.33 cm³ (rounded to two decimal places)
Comparing the volumes, we can see that John's container has 256 cm³ of chocolate milk, while Colin's container has 133.33 cm³ of chocolate milk.
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Jonczyk Company is considering two different, mutually exclusive capital expenditure proposals. Project A will cost $454,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $68,000. Project B will cost $300,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $47,000. A discount rate of 9% is appropriate for both projects. Click here to view PV table.
Calculate the net present value and profitability index of each project. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round present value answers to 0 decimal places, e.g. 125 and profitability index answers to 2 decimal places, e.g. 15.52. For calculation purposes, use 5 decimal places as displayed in the factor table provided, e.g. 1.25124.)
Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.
A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.
Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14
Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96
The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.
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What is -5/7 times (-1/6)
Answer:
5/42 or 0.1190
hope this helps :)
Need help ASAP please
Answer:
-6,6
Step-by-step explanation:
x^2=36
6*6=36
-6*-6=36
Using the graph to the right, write the ratio in simplest form. BD/AD
Answer:
\( \frac{BD}{AD} = \frac{5}{7} \)
Step-by-step explanation:
Coordinate of B = 1
Coordinate of D = 6
Coordinate of A = -1
BD = |1 - 6| = 5 units
AD = |-1 - 6| = |-7| = 7 units
\( \frac{BD}{AD} \)
Plug in the values
\( \frac{BD}{AD} = \frac{5}{7} \)
nick has to build a brick wall. Each row of the wall requires 6/2 bricks. There are 10 rows in the wall. How many bricks will nick require to build the wall?
Answer:
D. 10 x 6/2
Step-by-step explanation:
each row = 6/2
10 rows all together
so you do 10 x 6/2
what is ordered pair
Answer:
see explanation
Step-by-step explanation:
An ordered pair is a set of coordinates (x, y )
This can be o point on a graph or the solution to a system of equations or values from a table
Answer: It's a point on a graph (y,x)
Step-by-step explanation:
The graph below shows a company’s profit f(x) in dollars depending on the price of pens x, in dollars, sold by the company What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing and what do they represent about the sale and profit? What is an aproxímate average rate of change of the graph from x=3 to x=5 and what does this rate represent?
Solution:
Given:
\(\begin{gathered} f(x)=profits \\ x=price\text{ of pens} \end{gathered}\)From the graph, the x-intercept exists at (0,0) and (6,0).
The maximum value is (3,120).
The x-intercept represents the break-even points. The company was not in profit or loss when no pen was sold and when 6 pens were sold, the profit was $0 at these two points.
The maximum value of the graph represents the maximum profit made by the company. The company made a maximum profit of $120 when 3 pens were sold.
The interval where the function is increasing is from negative infinity to x = 3. This shows that the more pen sold, the higher the profit made.
The interval where the function is decreasing is from x = 3 to positive infinity. This shows that the less pen sold, the lower the profit made.
The approximate average rate of change of the graph from x = 3 to x = 5 is;
\(\begin{gathered} ARC=\frac{f(x_2)-f(x_1)}{x_2-x_1} \\ where: \\ x_1=3 \\ x_2=5 \\ f(x_1)=120 \\ f(x_2)=60 \\ \\ Hence, \\ ARC=\frac{60-120}{5-3} \\ ARC=\frac{-60}{2} \\ ARC=-30 \end{gathered}\)The rate represents a decrease of $30 for every pen sold across the decreasing interval.
What is the surface area?
10 cm
8 cm
10 cm
12 cm
10 cm
square centimeters
Step-by-step explanation:
surface area = (2*0.5*12*8) + (2*10*10) + (12*10)
= 96 + 200 + 120
= 416 cm^2
I need help plsss help
Answer:
Triangle: True
Parallelogram: False, area is 63cm^2
Trapezoid: True
Step-by-step explanation:
Use area calculators on the internet to find the area of shapes.
Gabriella expects to earn $50 in tips during her shift as a waitress. In addition to tips she earns $8 and hour. If she wants to make ateast $114 today how many hours does she need to work
Solve for x in the two equations below using substitution
12x-6y=60
24x+6y=300
Answer:
x = 10
Step-by-step explanation:
Given the 2 equations
12x - 6y = 60
24x + 6y = 300
Adding the 2 equations term by term will eliminate the y- term, that is
36x + 0 = 360
36x = 360 ( divide both sides by 36 )
x = 10
given a closed box, where the length is twice the height, the width is 10 meters less than the length, and the surface area is 10 times the width times the height, what are the dimensions?
So the dimensions of the box are:
Length: 20m
Width: 10m
Height: 10m
We can use the information provided in the problem to set up a system of equations. Let H be the height, L be the length, and W be the width.
From the problem, we know:
L = 2H (the length is twice the height)
W = L - 10 (the width is 10 meters less than the length)
2HW + 2LW + 2LH = 10WH (the surface area is 10 times the width times the height)
We can substitute the first and second equations into the third one to obtain:
2H(2H-10) + 2(2H)(2H-10) + 2(2H)(2H) = 10H(2H-10)
Solving this equation we get H = 10m
With this value we can solve for the other dimensions:
L = 2H = 2 * 10 = 20m
W = L - 10 = 20 - 10 = 10m
So the dimensions of the box are:
Length: 20m
Width: 10m
Height: 10m
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So the dimensions of the box are:
Length: 20m
Width: 10m
Height: 10m
We can use the information provided in the problem to set up a system of equations. Let H be the height, L be the length, and W be the width.
From the problem, we know:
L = 2H (the length is twice the height)
W = L - 10 (the width is 10 meters less than the length)
2HW + 2LW + 2LH = 10WH (the surface area is 10 times the width times the height)
We can substitute the first and second equations into the third one to obtain:
2H(2H-10) + 2(2H)(2H-10) + 2(2H)(2H) = 10H(2H-10)
Solving this equation we get H = 10m
With this value we can solve for the other dimensions:
L = 2H = 2 * 10 = 20m
W = L - 10 = 20 - 10 = 10m
So the dimensions of the box are:
Length: 20m
Width: 10m
Height: 10m
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Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships and grants each year, and he will earn $1,900 each year through a work study program.
Including his financial aid, what is Jamal’s estimated cost per year? $
Jamal’s family will contribute $21,000 each year. How much will Jamal need to contribute? $
Jamal has one year to save enough for his first year’s contributions. Complete each statement to show how much Jamal will need to save each month based on his current savings.
If Jamal currently has $0 in savings, he will need to save $
each month.
If Jamal currently has $1,000 in savings, he will need to save $
each month.
If Jamal currently has $2,000 in savings, he will need to save $
each month
Based on the scholarships and grants that Jamal will receive, his estimated cost per year is $25,050.
If his family contributes $21,000, he will have to contribute $4,050.
If Jamal has $0 in savings, the amount to save each month is $337.50.
If Jamal has $1,000 in savings, the amount to save each month is $254.17.
If Jamal has $2,000 in savings, the amount to save each month is $170.83.
What is Jamal's estimated cost?= Cost per year of private university - Scholarships - Work study program
= (25,100 + 8,000 + 1,300 + 750) - 8,200 - 1,900
= 35,150 - 8,200 - 1,900
= $25,050
What amount will he contribute if his family contributes?= Estimated cost - family contribution
= 25,050 - 21,000
= $4,050
What amount should Jamal save?The amount that Jamal should save monthly can be found as:
= (Amount to contribute - Amount already saved ) / Number of months in year
If Jamal has $0, he should save:
= (4,050 - 0) / 12
= $337.50
If Jamal has $1,000:
= (4,050 - 1,000) / 12
= $254.17
If Jamal has $2,000:
= (4,050 - 2,000) / 12
= $170.83
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what's
\( \sqrt[10]{1024} \)
Answer:
2
Step-by-step explanation:
Root power of 10 of 1024
= 1024 ^ 1/10
= 2
I hope this helps
What is the vertex of the quadratic function f(x) = (x-8)(x - 2)?
Answer:
The vertex is at (5, -9)
Step-by-step explanation:
The vertex is halfway between the zeros
f(x) = (x-8)(x - 2)
0 = (x-8)(x - 2)
x=8 and x=2 are the two zeros
(8+2)/2 = 10/2 = 5
The x coordinate is at 5
The y coordinate is found by substituting the x coordinate into the function
f(5) = (5-8)(5 - 2) = -3 (3) = -9
The vertex is at (5, -9)
Help please. I need this in a few minutes
Answer:
Step-by-step explanation:
Please I need your help
Answer:
2) RC = OG
3) ‹Q
4) m‹A = 73°
5) m‹B = 65°
6) m‹C = 42°
7) AC = 3.5 cm
8) DE = 26 cm
A random number generator is used to create a list of 300 single-digit numbers. Of those 300 numbers, 146 are odd and 154 are even. The number 8 was generated 22 times. What is the experimental probability of an even number other than 8 being generated? Write your answer as a decimal to the nearest hundredths place. 0. 23 0. 35 0. 44 0. 52.
The experimental probability of an even number, excluding 8, being generated is approximately 0.35.
Out of the 300 single-digit numbers generated, 146 are odd and 154 are even. Additionally, the number 8 was generated 22 times. To find the experimental probability of an even number other than 8 being generated, we need to subtract the occurrences of 8 from the total number of even numbers and then divide it by the total number of numbers.
The total number of even numbers excluding 8 is 154 - 22 = 132. Dividing this by the total number of numbers generated (300), we get 132/300 ≈ 0.44.
Therefore, the experimental probability of an even number, excluding 8, being generated is approximately 0.44, which is closest to option c) 0.35 when rounded to the nearest hundredths place.
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Find the difference between points M(6, 16) and Z(-1, 14) to the nearest tenth.
The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:
d = √((x2 - x1)² + (y2 - y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:
d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1
Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
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DO NOT SEND ME PDFS!!!
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Part A: A homeowner wants to purchase new carpet for his rectangular living room, which is 8 feet wide and 12 feet long. What is the area of the carpet needed to completely cover the floor of the living room? Choose the correct answer.
A. 40 feet
B. 40 square feet
C. 96 square feet
D. 96 feet
Part B: Bianca wants to wrap a gift for her sister. The gift is in a box with a length of 10 inches, height of 2 inches, and depth of 3 inches. What is the minimum amount of wrapping paper Bianca needs to completely cover the box?
Part C: Greg had a rectangular vegetable garden that was 4 feet wide by 5 feet long. He increased the length of his garden by 2 feet and doubled the width. How many square feet larger is the area of his new garden compared to the area of his old garden? In a short paragraph, explain your answer in your own words.
A teacher has 4 packs of pencils to share equally between 12 students. What fraction of a pack of pencils will each student receive?
Answer:
1/3
Step-by-step explanation:
4 divided by 12 is 1/3
Kini and Duke are each working during the summer to earn money in addition to their weekly allowance, and they are saving all of their money. Kini earns $9 an hour at her job, and her allowance is $8 per week. Duke earns $7.50 an hour, and his allowance is $17 per week. How many hours do Kini and Duke need to work in order to save the same amount of money in one week?
Answer:
Step-by-step explanation:
9x + 8 = 7.5x + 17
1.5x = 9
x = 6 hours
Solve the system of equations using substitution. + 4y = -7
3x +2y = -21
A. (-7,0)
B. (-7, -1)
c. (6,1)
D. (0,7)
Reset Selection
The solution of the system of equations given using substitution is A. (-7, 0).
Given is a system of equations.
x + 4y = -7 [Equation 1]
3x + 2y = -21 [Equation 2]
From [Equation 1],
x = -7 - 4y
Substitute the value of x to [Equation 2].
3 (-7 - 4y) + 2y = -21
-21 - 12y + 2y = -21
-12y + 2y = -21 + 21
-10y = 0
y = 0
Substituting y = 0 in [Equation 1],
x = -7 - 0 = -7
So, (x, y) = (-7, 0)
Hence the solution is (-7, 0).
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Line k ha an equation of y=x 2 7. Line include the point (7, – 2) and i perpendicular to line k. What i the equation of line ?
The equation of Straight line, perpendicular to line [k]would be y = - x + 5
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of straight line also represents the directly proportional relation as -
y = mx + c
y = mx {c = 0}
m = y/x
or
m = Δy/Δx
where [m] is constant of proportionality.
We have a line [k] that has an equation of y = x - 7
We have the given equation of line -
y = x - 7
Slope of line will be 1.
Slope of the line perpendicular to line [k] will be -
m[p] = -1
Then, the general equation would become -
y = - x + c
For point (7, - 2), we can write -
- 2 = - 7 + c
c = - 2 + 7
c = 5
Therefore, the equation of Straight line, perpendicular to line [k]would be y = - x + 5
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To estimate the product 8.42 x 7.24, Marisa multiplied 9 x 8 to get 72. Complete the explanation for how
she can make a closer estimate.
Part 1 out of 2
8.42 is closer to
Check
15
and 7.24 is closer to
Next
The actual value is 8.42 x 7.24 = 59.6576.
as an estimate she has rounded the values up to the nearest whole number ;
i.e. 8.42 ≅ 9 and 7.24 ≅ 8
to obtain 9 x 8 to get 72.
What is rounded value?
Making a number simpler while maintaining a value that is close to what it was is known as rounding.
Although less accurate, the outcome is simpler to utilize.
For instance, 73 equals 70 when rounded to the closest 10, since 70 is closer to 73 than 80 is. However, 76 rises to 80.
What is whole number?
Complete numbers the range of numbers that includes zero and natural numbers. not a decimal or fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. a negative number, zero, or a counting number.
What is natural number?
Natural Numbers The numbers that we use when we are counting or ordering {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 …} Whole Numbers The numbers that include natural numbers and zero. Not a fraction or decimal.
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The rate of consumption of oil in the United States during the 1980s (in billions of barrels per year) is modeled by the function C(t) = 27.08e', where t is the number of years after January 1, 1980. Find the total consumption of oil in the United States from January 1, 1980 to January 1, 1990.
the total consumption of oil in the United States from January 1, 1980, to January 1, 1990 is approximately 596,533.7 billion barrels.
To find the total consumption of oil in the United States from January 1, 1980 to January 1, 1990, we need to integrate the given function\(C(t) = 27.08e^t\)with respect to time t, over the interval [0, 10], where t is measured in years.
The integral of the function is:
∫\((27.08e^t) dt\)
To solve this integral, we use the fact that the integral of\(e^t\) is \(e^t\)itself. Thus, we get:
27.08∫\(e^t dt = 27.08e^t\)
Now, we need to evaluate the definite integral over the interval [0, 10]:
\(27.08e^t\)| from 0 to 10 =\(27.08(e^{10} - e^0)\)
As e^0 = 1, the expression simplifies to:
\(27.08(e^{10} - 1)\)
Now, we can calculate the value of the expression:
\(27.08(e^{10} - 1) =27.08(22026.47 - 1) = 27.08 * 22025.47 =596533.7\)
Thus, the total consumption of oil in the United States from January 1, 1980, to January 1, 1990 is approximately 596,533.7 billion barrels.
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I need help with this paper called Giving Circumference a Whirl for math
Answer:
C = πd. where C is the circumference and d is the diameter of the circle. Using radius instead of diameter, the formula is: C = 2πr. where r is the radius of the circle.
Step-by-step explanation:
What is the least amount of cardboard in square centimetres needed to make this popcorn container 24 cm 12 cm 20 cm
Step-by-step explanation:
20 sc i don't no why but mybe it will be correct
What is the value of b?
0.4(3b+10)=19
Enter your answer in the box.
b =
Answer:
12.5
Step-by-step explanation:
:0.4 ( 3b + 10 ) = 19 Equation Step 2:1.2b + 4 = 19 Multiply Step 3:1.2b = 15 Subtract 4 on ... the number of hours of renting a lawn mower and the total amount spent to rent the lawn mower? ... What is the output got each input ⚠️⚠️ my last one help ⚠️⚠️.