If 7 men can finish a work in 84 days , then 12 men can finish the same work in 96 days. True / False?
Answer:
false
Step-by-step explanation:
if there r more men working then it will take less time to finish the same work not more
a machine in a factory makes 2 1/4 pounds of nails in 1 1/2 hours. At what rate in pounds
per hour does the machine makes nails?
Answer:
a machine in a factory makes 2 1/4 pounds of nails in 1 1/2 hours. At what rate in pounds
per hour does the machine makes nails?
What is the least common denominator of the fractions in the sum 1/8 + 1/9?
This means that the lowest goal (LCD) is 72 and that the total of 1/8 and 1/9 stated with one common denominator = 72 is 17/72.
What or who is a denominator?The denominator of a fraction, which represents many spaced evenly out parts are utilized to split an object, is the smallest amount inside the fraction. The fraction is divided by it. The denominator in this situation is 4, suggesting there are four parts altogether.
The fractions mentioned have 8 and 9 as their denominators. Multiples of 8 include 8, 16, 24, 32, 40, 48, 56, 64, 72, and 80, while multiples of 9 include 9, 18, 27, 36, 45, 54, 63, 72, and 81.
It is evident that 72 will be the first common number of 8 and 9. Hence, for 1/8 and 1/9, its least common factor (LCD) is 72.
We must express every fraction with denominator 72 in order to sum the fraction with a common denominator:
1/8 Equals 9/72 (with multiplying both the numerator and the denominator by 9)
1/9 Equals 8/72 (with multiplying both the denominator and the numerator by 8)
We can now combine the fractions:
1/8 plus 1/9 = 9/72 plus 8/72
= 17/72
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True or False. A hypothesis is a speculation.
Justify your answer.
Solve for x. Round to the nearest tenth, if necessary
Answer: 1.0
Step-by-step explanation:
sohcahtoa means you use sine.
sin(37) = 0.6/x
xsin(37) = 0.6
x = 0.6/sin(37)
x = 0.996
x = 1.0
A grain silo has a cylindrical shape. Its radius is 8ft, and its height is 38ft. What is the volume of the silo?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
13487 ft³
Step-by-step explanation:
Volume of a Cylinder: 2πr²*h
π = 3.14
r = 9 ft
h = 53 ft
Volume = 2(3.14)(9)²*53 = 13486.86 ft³
Rounded to nearest whole number
Volume of the Cylindrical Water tank is 13487 ft³
What is the difference between the points (8, 10) and (8, 4) on coordinate plane
Answer:
6 units
Step-by-step explanation:
(8, 10 ) → (8, 4 )
since the x- coordinates of each point are the same, both 8
then this is a vertical straight line
the difference is then the absolute value of the difference in the y- coordinates, that is
| 10 - 4 | = | 6 | = 6
or
| 4 - 10 | = | - 6 | = | 6 | = 6
what equation can be used to represent the relation shown in the table ?
Find the surface area of the rectangular prism below:
3m
2m
2.4 m
- 2.4 m
3 m
The surface area of the rectangular prism is 72 square meters.
Describe Rectangular Prism?A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional figure that consists of six rectangular faces. It is a polyhedron with two identical and parallel bases, which are rectangles, and four rectangular lateral faces. The height of the prism is the perpendicular distance between the two bases. The volume of a rectangular prism is given by the formula V = l × w × h, where l, w, and h are the length, width, and height of the prism, respectively. The surface area of a rectangular prism is given by the formula SA = 2lw + 2lh + 2wh, where l, w, and h have the same meanings as in the volume formula. Rectangular prisms are commonly encountered in everyday life, such as in the shape of boxes, rooms, and buildings.
The surface area of a rectangular prism can be found by adding up the area of all its faces.
Area of blue rectangles:
= 2 x (length x width)
= 2 x (2.4m x 2m)
= 9.6m²
Area of green rectangles:
= 2 x (length x width)
= 2 x (2.4m x 3m)
= 14.4m²
Area of yellow rectangles:
= 2 x (length x width)
= 2 x (2m x 3m)
= 12m²
Total surface area = sum of all face areas
= (2 x blue rectangles) + (2 x green rectangles) + (2 x yellow rectangles)
= 2(9.6m²) + 2(14.4m²) + 2(12m²)
= 19.2m² + 28.8m² + 24m²
= 72m²
Therefore, the surface area of the rectangular prism is 72 square meters.
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(CO 3) A bottle of water is supposed to have 20 ounces. The bottling company has determined that 96% of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled?
Group of answer choices
a. n=0, p=36, x=98
b. n=20, p=0.98, x=36
c. n=36, p=0.96, x=36
d. n=36, p=0.98, x=1
The parameter to describes a binomial experiment that would determine the probability that a case of 36 bottles has all bottles properly filled is x = 36, p = 0.96 and n = 36. So, the right choice for answer is option (c).
A binomial experiment is an experiment using a fixed number of independent trials with only two outcomes. These experiments'outcomes are defined as either success or failure. The following requirements for experiment are :
Each fixed trial performed in the experiment had only two possible outcomes. One result will be marked as a success and the other as a failure.The probability of success in each trial must remain the same for each trial conducted. It is represented by p.Each trial in the experiment must be independent of the other trials.Water Quantity in a bottle = 20 ounces
According to bottling company, the percentage of bottle with correct amount = 96% = 0.96
so, probability of success, p = 0.96
Probability for 36 bottles has all bottles properly filled, that is x = 36. Now, looking the all choice, we conclude option(c) is correct choice.
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For each of the indefinite integrals below, choose which of the following substitutions would be most helpful in evaluating the integral. Enter the appropriate letter (A,B, or C) in each blank. DO NOT EVALUATE THE INTEGRALS.
The substitutions that would be most helpful in evaluating the integral are:
1. C (x = 8 secθ)
2. B (x = 8 sinθ)
3. A (x = 8 tanθ)
4. B (x = 8 sinθ)
5. A (x = 8 tanθ)
What are the substitutions that are most helpful?For problem 1, the substitution x = 8 secθ will be useful because it will transform the integral into a form that can be solved using the substitution u = tanθ.
For problem 2, the substitution x = 8 sinθ will be useful because it will transform the expression inside the integral into a trigonometric function that can be integrated using standard techniques.
For problem 3, the substitution x = 8 tanθ will be useful because it will transform the expression inside the integral into a form that can be solved using integration by parts.
For problem 4, the substitution x = 8 sinθ will be useful because it will transform the expression inside the integral into a form that can be solved using the substitution u = cosθ.
For problem 5, the substitution x = 8 tanθ will be useful because it will transform the expression inside the integral into a form that can be solved using the substitution u = secθ.
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Graham wants to take snowboarding lessons at a nearby ski resort that charges $40 per week. The resort also charges a one-time equipment-rental fee of $99 for uninterrupted enrollment in classes. The resort requires that learners pay for three weeks of classes at a time
Answer:
$40+99=136 For 1 week
For 3 weeks it would be $120
Evaluate the function when x = 3, x = 0, and x = -2.
10. g(x) = 3x
12. h(x) = 1.2x
13. f(x)=1.5x-2
14. h(x)=-4x+1/2
15. f(x)=1/3x + 2/3
Answer: The answer is -10 :)
Step-by-step explanation:
12)f(x)=2x-6
=》f(3)=2(3)-6
=》6-6=0
f(×)=2x-6
f(0)=-6
=》f(-2)=2(-2)-6
=》-4-6
=-10
13)h(3)=6(3)+2
=》18+2
=20
h(0)=0+2
h=2
(-2)=6(-2)+2
=》-12+2
=-10
Question Below.
Answers: 250|253|254|255|307|433|434|435|507|.
First to answer this question the quickest is rewarded branliest + 100 points
Answer:
Minimum--> 250
Q1--> 255
Q2--> (Median): 307
Q3--> 433
Maximum-->507
Step-by-step explanation:
To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.
First, we need to sort the data set in ascending order:
{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }
Minimum: 250
Maximum: 507
To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.
Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.
Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.
Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.
Trey purchases 200 shares of Turner stock for per share. Trey pays in cash to complete the purchase. One year later, Trey sells the stock for per share. Part 2 Calculate the return that Trey earned on his investment of .
Answer: Formula
Step-by-step explanation:
Stocks x per share = return
Trey's return on investment, if the stock paid no dividends during the year, is 14.29%.
We have,
Purchase price per share: $50
Number of shares purchased: 200
Total purchase cost (excluding loan interest):
Purchase price per share * Number of shares purchased
= $50 * 200
= $10,000
Loan amount: $5,000
Loan interest rate: 10%
Interest paid on the loan:
Loan amount * Interest rate
= $5,000 * 10%
= $500
Total purchase cost (including loan interest):
Total purchase cost + Loan interest
= $10,000 + $500
= $10,500
Selling price per share: $60
Total revenue from selling the stock:
Selling price per share * Number of shares sold
= $60 * 200
= $12,000
Return on investment (ROI):
(Total revenue - Total purchase cost) / Total purchase cost
ROI = ($12,000 - $10,500) / $10,500
Simplifying the expression:
ROI = $1,500 / $10,500
ROI = 0.1429 (approximately)
To express the ROI as a percentage:
ROI as a percentage = 0.1429 * 100 = 14.29%
Therefore,
Trey's return on investment, if the stock paid no dividends during the year, is 14.29%.
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The complete question:
Trey purchases 200 shares of Turner stock for $50 per share.
Trey pays $5,000 in cash and borrows $5,000 from his broker at 10 percent interest to complete the purchase.
One year later, Trey sells the stock for $60 per share.
Trey's return, if the stock paid no dividends during the year, is?
a movie streaming service offers 12 children movies this is 15% of the total number of movies offerd
Answer: the movie streaming service offers 80 children's movies
Step-by-step explanation:
It was incorrect. A=80-B, C=70-B.
(80-b) +b+(70-b)=100. Therefore:
80-70-b=100
B= - 90. Negative number,
So, A=170
C=160. Correct answer
The values of A, B, and C are 30, 50, and 20, respectively.
What is the sum?
The sum is the result of adding two or more numbers together. The sum is found by performing the operation of addition, which involves combining the values of two or more quantities to find the total or the sum.
If A = 80 - B and C = 70 - B, and the sum of A, B, and C is 100, then we can write:
A + B + C = 100
Substituting A and C with their given values, we get:
(80 - B) + B + (70 - B) = 100
Simplifying and combining like terms, we get:
150 - B = 100
Subtracting 150 from both sides, we get:
-B = -50
Dividing both sides by -1, we get:
B = 50
Now that we know B = 50, we can substitute this value back into the equations for A and C:
A = 80 - B = 80 - 50 = 30
C = 70 - B = 70 - 50 = 20
Therefore, the values of A, B, and C are 30, 50, and 20, respectively.
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Ruby wants to find the height of the tallest building in her city. She stands 190 feet away from the building. There is a tree 31 feet in front of her, which she knows is 20 feet tall. How tall is the building? (Round to the nearest foot.)
To solve this problem, we can use similar triangles. Let's call the height of the building "h". Then, we have two similar triangles: one formed by Ruby, the tree, and the top of the tree; and the other formed by Ruby, the building, and the top of the building.
We know that the height of the tree is 20 feet, and the distance from the tree to Ruby is 31 feet. We also know that the distance from Ruby to the building is 190 feet.
Using these values, we can set up a proportion:
h / (190 + 31) = 20 / 31
Simplifying the proportion, we get:
h / 221 = 20 / 31
Multiplying both sides by 221, we get:
h = (20 / 31) * 221
h ≈ 143.23
Therefore, the height of the building is approximately 143 feet. Rounded to the nearest foot, the height of the building is 143 feet.
1. bmi calculator: design a program in raptor that prompts user to enter a person's weight in number of pounds and height in number of inches, then calculate that person's body mass index (bmi) using the formula below, and finally display the person's weight, height, and bmi. bmi
The program uses the conversion factors of 2.205 pounds per kilogram and 39.37 inches per meter to convert the input values to the correct units for the formula.
To design a program in Raptor that prompts the user to enter a person's weight in pounds and height in inches, and then calculates and displays their body mass index (BMI), we can follow these steps:
Start by opening Raptor and creating a new program.
Add three input symbols to prompt the user for their weight, height, and a constant value for BMI. Label each input symbol accordingly.
Add three assignment statements to assign the input values to variables. We can use the labels we assigned to the input symbols as variable names to make the code more readable.
Add two calculation statements to calculate the person's BMI using the formula [tex]BMI = (weight in pounds * 703) / (height in inches)^2.[/tex]Assign the result to the BMI variable.
Add three output symbols to display the person's weight, height, and BMI. We can concatenate strings with the variable values to make the output more informative.
Finally, save the program and run it to test it with different input values.
Here's what the program would look like:
Start
// Prompt the user for weight, height, and BMI
Input "Enter weight in pounds:", weight
Input "Enter height in inches:", height
Input "BMI:", bmi_constant
// Calculate BMI
Set weight_in_kg = weight / 2.205 // Convert weight to kilograms
Set height_in_m = height / 39.37 // Convert height to meters
[tex]Set bmi = weight_in_kg / (height_in_m ^ 2)[/tex] // Calculate BMI
// Display results
Output "Weight: " + weight + " lbs"
Output "Height: " + height + " in"
Output "BMI: " + bmi
Stop
When the program is run, it will prompt the user to enter their weight, height, and a constant value for BMI. It will then calculate the person's BMI using the formula, convert the weight to kilograms and the height to meters, and display the results along with the original weight and height values. The program uses the conversion factors of 2.205 pounds per kilogram and 39.37 inches per meter to convert the input values to the correct units for the formula.
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PLEASE GUYS HELP!!
Solve 2(x + 3) = 18
Answer:
[tex]\mathrm{x=6}[/tex]Step-by-step explanation:
[tex]\mathrm{2\left(x+3\right)=18}[/tex]
Divide both sides by 2:-
[tex]\mathrm{\cfrac{2\left(x+3\right)}{2}=\cfrac{18}{2}}[/tex]
Simplify:-
[tex]\mathrm{x+3=\cfrac{18}{2} }[/tex]
[tex]\mathrm{x+3=9}[/tex]
Subtract 3 from both sides:-
[tex]\mathrm{x+3-3=9-3}[/tex]
[tex]\mathrm{x=6}[/tex]
_____________________
Hope this helps!
The quadratic regression corresponding to the number of birds f(x) in a park relative to the number of people x in the same park is given by f(x) = -0.1536x² + 3.3915x +88.738. Use the quadratic regression to estimate the number of people in the park when there are 80 birds. Round your answer to the nearest whole number. en is Provide your answer below: people An
The quadratic regression function f(x) = -0.1536x² + 3.3915x + 88.738, then estimate value for the number of people in the park when there are 80 birds is equals to the 24.
A quadratic regression is the process of finding the equation of the parabola that best fits a set of data. An equation of the form, y = ax² + bx + c where a≠0. We have a quadratic regression function is defined by f(x) = -0.1536x² + 3.3915x +88.738 --(1), where, f(x) = the number of birds in a park relative to the number of people x in the same park. We have to determine quadratic regression to estimate the number of people in the park when there are 80 birds. Now, f(x) = 80, substitute the known value in equation (1),
=> 80 = -0.1536x² + 3.3915x +88.738
=>0.1536x²- 3.3915x -88.738 + 80 = 0
=> 0.1536x²- 3.3915x - 8.738 = 0
=> x² - 22.08x - 56.88 = 0 --(2)
Using the quadratic formula for solution of (2), x = (-b ±√b² - 4ac)/2a, for ax² + bx + c = 0. So, [tex]x =\frac{ -(-22.08) ± \sqrt{(22.08)² + 4× 56.88}}{2}[/tex]
=> x = 24.41 or - 2.3331
but number of people can't be negative hence, the required value is 24.41 ~ 24.
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Calculate
√4.7² +2.55
Give your answer to 1 significant figure
Answer: 3.53
Step-by-step
4 feet 4 inch into inch.
Answer:
52 inches
Step-by-step explanation:
1 foot=12 inches
4(12)=48 inches
Then you add the other 4 inches.
48+4=52
52 inches
please help me i need it
Answer:
75 degrees
Step-by-step explanation:
Since angle ABD = angle ABC + angle CBD, and we know each of those, we can add them to get the answer.
30+45=75 degrees.
Decompose the composite figure to find its total area.
Answer: 36 m^2
Step-by-step explanation: I got it correct trust btw can i get brsainliest
A kettle is sold at a profit equal to one-fourth of its cost price. Find the profit percentage.
Answer:
25%
Step-by-step explanation:
If the cost price could be 100
Then there's A/Q
One-fourth is always 100/4 = 25%
At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.
a circle graph titled 2022 Winter Olympic Medals, with three sections labeled gold 20 percent, silver 30 percent, and bronze 50 percent
How many gold and bronze medals were won?
50
70
105
120
Answer:
70 gold and bronze
Step-by-step explanation:
Add gold at 20 percent and bronze at 50 percent to get 70 percent gold and bronze.
A survey of eighty students at a certain college reveals that
36 takes english
32 take history
32 take political science
16 takes political science and history
16 takes history and English
14 takes political science and English
6 takes all three
How many students offer only English
By set theοry the number οf students whο οffer οnly English is 12.
What is Set theοry?In mathematics Set theοry studies with sets, which can be infοrmally described as cοllectiοns οf οbjects. Objects οf any kind can be cοllected intο a set, set theοry, as a branch οf mathematics, is mοstly cοncerned with that which are relevant tο mathematics as a whοle.
Given that,
A survey οf eighty students at a certain cοllege reveals that
36 takes English
32 take histοry
32 take pοlitical science
16 takes pοlitical science and histοry
16 takes histοry and English
14 takes pοlitical science and English
6 takes all three
Sο n(s)=80 [ Since the number οf students is 80]
The number οf students whο takes English is denοted by n(E)=36
The number οf students whο takes Histοry is denοted by n(H)=32
The number οf students whο takes Pοlitical Science is denοted by n(P)=32
By set theοry
The number οf students whο takes Pοlitical Science and Histοry is denοted by n(P∩H)=16
The number οf students whο takes English and Histοry is denοted by n(E∩H)=16
The number οf students whο takes Pοlitical Science and English is denοted by n(P∩E)=14
The number οf students whο takes Pοlitical Science, English and Histοry is denοted by n(P∩E∩H)=6
Frοm set theοry ,
n(P∪E∪H) = n(E)+n(H)+n(P)- n(P∩H)-n(H∩E)-n(P∩E)+n(P∩E∩H)
= 36+32+32-16-16-14+6
= 60
Sο the number οf students whο take nοne οf the subjects is (80-60)=20
Hence the number οf students whο οffer οnly English is 12.
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Can someone help me with this please,thanksss
Answer:
gradient= rise \ run
and cuz line is coming downward
it will be negative
so your answer is
- 5\6
Can someone pls help me its delta really annoying
The cost per boxed lunch is $9.46.