28x + 20y should be it.
The slope of the line that passes through the points (6,9) and (11.2) is --
Answer:
\(m=\frac{-7}{5}\)
Step-by-step explanation:
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Simply plug in the 2 coordinates into the slope formula to find slope m:
\(m=\frac{2-9}{11-6}\)
\(m=\frac{-7}{5}\)
The perimeter of a rectangular farm is 1800 m and its length is 140 m longer than its breadth. Find the area of the farm.
Simultaneous equation
The area of the rectangular farm is 197,600 square meters.
Let's assume the breadth of the rectangular farm is x meters. According to the given information, the length of the farm is 140 meters longer than its breadth, so the length would be (x + 140) meters.
The perimeter of a rectangle is given by the formula P = 2(length + breadth). We can set up the equation as follows:
2(length + breadth) = 1800
Substituting the values, we get:
2((x + 140) + x) = 1800
Simplifying the equation:
2(2x + 140) = 1800
4x + 280 = 1800
4x = 1800 - 280
4x = 1520
x = 1520 / 4
x = 380
Therefore, the breadth of the farm is 380 meters.
Using this value, we can find the length:
Length = x + 140 = 380 + 140 = 520 meters.
The area of a rectangle is given by the formula A = length * breadth. Substituting the values, we have:
Area = 520 * 380 = 197,600 square meters.
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A cube has a side length of inch. It would take blocks with a side length of inch to fill the cube. It would take blocks with a side length of inch to fill the cube.
Complete question:
A cube has a side length of 1/3 inch.It would take _ blocks with a side length of 1/6 inch to fill the cube.
B)It would take _ blocks with a side length of 1/9 inch to fill the cube.
Answer:
a) 8 blocks
b) 27 blocks
Step-by-step explanation:
Here we need to find the volume of the cube and volume of the block.
To find volume of the cube, let's use the formula :
V = a³
Here a = \( \frac{1}{3}\)
Therefore,
V = \( (\frac{1}{3})^3\)
V = = \( \frac{1}{27}\)
Volume of the cube is \( \frac{1}{27}\)
To find volume of the block, let's use the formula:
V = a³
V = \( (\frac{1}{6})^3\)
V = \( \frac{1}{216} \)
To find the number of blocks, let's divide the volume of block from the volume of cube.
Therefore,
= \(\frac{\frac{1}{27}}{\frac{1}{216}}\)
\( = \frac{1}{27} * 216 \)
= 8
It would take 8 blocks with a side length of 1/6 inch to fill the cube.
B) Here we also need to find the volume of the cube and volume of the block.
To find volume of the cube, let's use the formula :
V = a³
Here a = \( \frac{1}{3}\)
Therefore,
V = \( (\frac{1}{3})^3\)
V = = \( \frac{1}{27}\)
Volume of the cube is \( \frac{1}{27}\)
To find volume of the block, let's use the formula:
V = a³
V = \((\frac{1}{9})^3\)
V = \( \frac{1}{729} \)
To find the number of blocks, let's divide the volume of block from the volume of cube.
Therefore,
= \( \frac{\frac{1}{27}}{\frac{1}{729}}\)
\( = \frac{1}{27} * 729 \)
= 27
It would take 27 blocks with a side length of 1/9 inch to fill the cube.
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
Which drive-thru is able to estimate their wait time more consistently, and why?
Fast Chicken, because it has a smaller IQR
Fast Chicken, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
Answer:
Fast Chicken, because it has a smaller IQR.
Step-by-step explanation:
Fast Chicken is able to estimate their wait time more consistently because it has a smaller interquartile range (IQR) compared to Super Fast Food. The IQR is a measure of the spread of the middle 50% of the data and is calculated as the difference between the third quartile (Q3) and the first quartile (Q1). The smaller the IQR, the more consistent the data is. In this case, the IQR for Fast Chicken is 4.5 (14.5-10) while the IQR for Super Fast Food is 7 (15.5-8.5). Therefore, Fast Chicken has a more consistent wait time estimate.
Range is a measure of the spread of the data, but it only considers the difference between the highest and lowest values in the data set. The range for Fast Chicken is 15 (20-5), and for Super Fast Food, it is 24 (27-3). Although Super Fast Food has a smaller range than Fast Chicken, it does not necessarily indicate that its wait time estimate is more consistent.
Therefore, the answer is Fast Chicken, because it has a smaller IQR.
Answer:
A
Step-by-step explanation:
because that’s what I got from doing my math because I was doing the math correctly and since I did it correctly I got the answer of .a so this is my absolutely amazing explanation.
a water sprinkler that sprays out 35 feet from the center operates long enough to cover a circular area of 1.4 gallons of water per square foot. how many total gallons of water were used?
The area is covered with 1.4 gallons of water per square foot, approximately 5388.9 gallons of water were used.
We use the formula for the area of a circle: A = πr².
The radius can be determined by dividing the diameter, which is 70 feet, by 2. Therefore, r = 35 feet.
To find the area of the circle, substitute the value of r into the formula for the area of a circle: A = πr².
A = πr²
A = π(35)²
A = 3.14 × 1225
A = 3842.5 square feet
We know that this area is covered with 1.4 gallons of water per square foot, so we can multiply the area of the circle by 1.4 to get the total gallons of water used:
Total gallons of water used = A * 1.4
1.4 × 3842.5 ⇒ 5,379.5 gallons.
Therefore, the total gallons of water used is 5,379.5 gallons.
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Two weeks ago, Ace's bus route was 62.5% full. How many riders did
he have two weeks ago?
i DESPERATELY need this question!!!!1 will give brainliest
(also provide an explanation pls!!)
Ace had 0.625 or 62.5 riders two weeks ago.
Now, We can start by setting up a proportion:
fullness = riders / capacity
where the fullness is 62.5% or 0.625,
And, the capacity is 100% or 1 (assuming the bus is completely full at 100%).
Now, We can solve for the number of riders:
0.625 = riders / 1
riders = 0.625 x 1
riders = 0.625
So, Ace had 0.625 or 62.5% riders two weeks ago. If we assume that riders must be a whole number, we can round up to 63 riders.
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I really need help I keep getting these wrong! Is this a rhombus?
can someone please help me
Answer:
its b
Step-by-step explanation:
your welcome
Answer:
\(y=-\frac{2}{3}x+2\)
Step-by-step explanation:
Using the points \((3,0)\) and \((-3,4)\),
\(m=\frac{4-0}{-3-3}=-\frac{2}{3} \\ \\ y=-\frac{2}{3}(x-3) \\ \\ y=-\frac{2}{3}x+2\)
Tina turners wrists are 2 inches wide and her arms are 4 inches wide but Tina turners thighs are triple the width of the wrists and arms how thick is Tina's thighs?
Answer:
Tina Turner's thighs are 18 inches wide.
please please help idek anything
Answer:10
Step-by-step explanation:
Each chicken egg is 5
so day 2 and 5 combined is 15
and day 3 is 25
so subtract 25-15 its 10
Answer:
I think pretty sure its 2
Step-by-step explanation:
If you add the eggs from pen 2 and 5 you get 3 eggs in total. Then you gather all the eggs from pen 3 and minus the eggs you got from pen 2 and 5 which would be 5-3 which would then equal 2 eggs in total. I hope this helped :).
Fifteen turkey hens were randomly assigned to three groups of five. One group was given diet A, the second group diet B, and the third group diet C. We wish to know if there is a difference in the weight of eggs produced by the birds on these diets, and if so, which diet results in the largest eggs. The data are the mean weights of ten eggs from each bird. Check the normality and homogeneity assumptions first to see if you can use ANOVA.
Diet A 124 118 120 127 115
Diet B 98 100 95 102 105
Diet C 116 97 100 89 98
Required:
a. Create a data frame called turkey where the first column is the Diet and the second column is the EggWeights.
b. Test the normality assumption by running the Shapiro-Wilk Normality Test
c. Is the normality assumption violated? Explain.
The result will provide the test statistic and the p-value. If the p-value is less than 0.05, we would conclude that the normality assumption is violated.
a. To create a data frame called "turkey" with the first column as "Diet" and the second column as "EggWeights," you can use the following code in R:
R
Copy code
Diet <- c(rep("A", 5), rep("B", 5), rep("C", 5))
EggWeights <- c(124, 118, 120, 127, 115, 98, 100, 95, 102, 105, 116, 97, 100, 89, 98)
turkey <- data.frame(Diet, EggWeights)
b. To test the normality assumption using the Shapiro-Wilk test, you can use the following code:
R
Copy code
shapiro.test(turkey$EggWeights)
c. The normality assumption is violated if the p-value from the Shapiro-Wilk test is less than the significance level (typically 0.05). If the p-value is greater than 0.05, we fail to reject the null hypothesis of normality.
Based on the provided data, the Shapiro-Wilk test can be performed in R:
R
Copy code
shapiro.test(turkey$EggWeights)
The result will provide the test statistic and the p-value. If the p-value is less than 0.05, we would conclude that the normality assumption is violated. If the p-value is greater than 0.05, we would fail to reject the null hypothesis and conclude that the data are consistent with normality.
Note: Since the provided data is relatively small, the Shapiro-Wilk test may not have high power to detect departures from normality. However, it can still provide some insight into the normality assumption.
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Please do it with step by step explanation it will help me so much thanks!
Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $30. Now the cost is $39.
a. What is the percent increase?
b. What would be the percent increase if the ticket agent charges an additional $4.50 fee with the new ticket price?
Answer:
A) The percent increase is by 30%.
B) for the original price = 15%.
B2.0) for the existing price (39) = approximately 11.54%.
Step-by-step explanation:
A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.
B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).
Data is collected from a sample of 100 randomly selected students at the City University of New York that showed that the mean number of college credits earned per year is 25.6 with a standard deviation of 2.1
. Are these numbers statistics or parameters? Explain. The numbers are parameters because the numbers were calculated for a sample of City University of New York students and are estimates. The numbers are statistics because the numbers were calculated for a sample of City University of New York students and are estimates. The numbers are statistics because the numbers were calculated for all City University of New York students. The numbers are parameters because they numbers were calculated for all City University of New York students.
The correct answer is the numbers are statistics because the numbers were calculated from a sample of city University of New York students and are estimates.
The study of statistics focuses on gathering, organising, analysing, interpreting, and presenting data. It is customary to initiate with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
Populations which can refer to a variety of groupings of individuals or things, such as "every individual living in a nation" or "each atom making up a crystal."
Every facet of data which includes the planning of data collecting in terms of the layout of surveys and experiments, is covered by statistics.
When census data cannot be gathered, statisticians devise specialised experiment designs and survey samples to get data. A representative sample ensures that generalisations and inferences from the sample to the entire population are reasonable.
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Why are isotopes with long half-lives not useful for dating fossils or rocks that span the last glacial-interglacial cycle, approximately between 12,000 and 125,000 years old
Isotopes with long half-lives are not useful for dating fossils or rocks that span the last glacial-interglacial cycle (approximately between 12,000 and 125,000 years old) because their decay rates are too slow to provide accurate age determinations within that time range.
Isotopes with long half-lives, such as uranium-238 (with a half-life of about 4.5 billion years) and potassium-40 (with a half-life of about 1.3 billion years), are commonly used for dating much older geological events. These isotopes undergo radioactive decay at a slow rate, which makes them suitable for dating processes spanning millions or billions of years.
However, when it comes to dating fossils or rocks that fall within the last glacial-interglacial cycle (12,000 to 125,000 years old), the long half-lives of these isotopes pose a problem. The time scale of this cycle is relatively short compared to the decay rates of isotopes with long half-lives. As a result, the remaining isotopic ratios or concentrations after such a short time period may not provide precise age estimates, making them less reliable for dating within this specific range.
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solve by completing the square t² - 6t = 7
Answer:
t = 7 or t = -1
Step-by-step explanation:
You can use a calculator or:
t² - 6t = 7
-> t² - 6t -7 = 0
-> t² - 7t + t - 7 = 0
-> t(t-7) + (t-7) = 0
-> (t-7) . (t+1) = 0
-> t = 7 or t = -1
Answer:
T = 7
Step-by-step explanation:
How you find T is by multiplying different numbers and squaring them by subtracting until you get to the number that equals to 7
Jamie lost 65 pounds in 5 months. How much did she lose per month?
Answer:
13
Step-by-step explanation:
Divide 65 by 5
Answer:
13
Step-by-step explanation:
Wayne's bill for lunch at a restaurant was $15. He left a 15% tip. What was the tota lcost of his lunch ,including tip?
HELP MEEE!!!!!
Answer:
17.25
Step-by-step explanation:
15+2.25=17.25
2.25 is 15 percent of 15
What are the next 2 numbers in the sequence? *
8, 16, 24, ...
28, 32
30,36
32, 40
48,96
Answer:
5
Step-by-step explanation:
GUYS I NEED YOUR HELP THIS IS SUPER HARD PLZ SOMEONE HELP ME I BEEN WORKING ON THIS QUESTION FOR A WEEK AND I STILL DONT KNOW THE ANSWER
Answer:
1
Step-by-step explanation:
I need help solving for x
800 students attend Ridgewood Junior High School. 25% of students bring their
lunch to school everyday. How many students brought their lunch to school on
Thursday?
200 number of students brought their lunch to school on Thursday.
What do you mean by Percentage?A Percentage is a number or ratio that can be expressed as a fraction of 100.
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.
Percentage formula = (Value/Total Value) × 100
P% of Number = X
where X is the required percentage.
If we remove the % sign, we need to express the above formula
P/100 × Number = X
Given:
Total number of students in school = 800
25% students bring their lunch every day.
25% of 800
= \(\frac{25}{100} \times 800\)
= 25 × 8
= 200
200 students bring their lunch to school on Thursday.
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7. (1) Find the coordinates of the endpoints of each midsegment of AABC.
(2) Use slope and the distance formula to verify that the midsegment theorem is true for
DF
A(0,2)
B(5,-2)
C(10,6)
The coordinates of D are (2.5, 0).
The coordinates of E are (7.5, 2).
The coordinates of F are (5, 4).
The calculated slope and distance of DF match half the slope of AC (1/5) and half the length of AC (2.36), respectively
To find the coordinates of the endpoints of each midsegment of triangle ABC, we need to calculate the midpoints of the three sides.
Given the coordinates of the vertices:
A(0, 2)
B(5, -2)
C(10, 6)
Let's calculate the coordinates of the midpoints and label them as D, E, and F.
Midpoint of AB (D):
To find the midpoint of AB, we average the x-coordinates and the y-coordinates separately.
x-coordinate of D = (x-coordinate of A + x-coordinate of B) / 2 = (0 + 5) / 2 = 5/2 = 2.5
y-coordinate of D = (y-coordinate of A + y-coordinate of B) / 2 = (2 + (-2)) / 2 = 0 / 2 = 0
So, the coordinates of D are (2.5, 0).
Midpoint of BC (E):
x-coordinate of E = (x-coordinate of B + x-coordinate of C) / 2 = (5 + 10) / 2 = 15 / 2 = 7.5
y-coordinate of E = (y-coordinate of B + y-coordinate of C) / 2 = (-2 + 6) / 2 = 4 / 2 = 2
So, the coordinates of E are (7.5, 2).
Midpoint of AC (F):
x-coordinate of F = (x-coordinate of A + x-coordinate of C) / 2 = (0 + 10) / 2 = 10 / 2 = 5
y-coordinate of F = (y-coordinate of A + y-coordinate of C) / 2 = (2 + 6) / 2 = 8 / 2 = 4
So, the coordinates of F are (5, 4).
Now, let's use the slope and distance formula to verify the midsegment theorem for segment DF.
Slope of DF:
slope = (y-coordinate of F - y-coordinate of D) / (x-coordinate of F - x-coordinate of D)
= (4 - 0) / (5 - 2.5)
= 4 / 2.5
= 8 / 5
Distance of DF:
distance = sqrt((x-coordinate of F - x-coordinate of D)^2 + (y-coordinate of F - y-coordinate of D)^2)
= sqrt((5 - 2.5)^2 + (4 - 0)^2)
= sqrt(2.5^2 + 4^2)
= sqrt(6.25 + 16)
= sqrt(22.25)
≈ 4.71
According to the midsegment theorem, the midsegment DF should have half the slope of AC and half the length of AC.
Slope of AC:
slope_AC = (y-coordinate of C - y-coordinate of A) / (x-coordinate of C - x-coordinate of A)
= (6 - 2) / (10 - 0)
= 4 / 10
= 2 / 5
Half the slope of AC:
slope_AC/2 = (2/5) / 2
= 2/5 * 1/2
= 1/5
Half the length of AC:
length_AC/2 ≈ 4.71 / 2
≈ 2.36
The calculated slope and distance of DF match half the slope of AC (1/5) and half the length of AC (2.36), respectively
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Michael bought a stereo on sale for 20% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo?
Answer:
the correct answer should be 144
Answer:
144
Step-by-step explanation:
180*20% is 36 so 180-36 is 144
To answer this question, type your answer in the box.
Sarah's grandmother has a square blanket that covers an area of 25 square feet. Sarah wants to put a string of pearls around the sides of the blanket. How many feet long will the string of pearls have to be for Sarah to complete the job?
answer for free brainly
Answer:
20 feet
Step-by-step explanation:
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7. 50 and each adult ticket sells for $10. The auditorium can hold no more than 108 people. The drama club must make at least $920 from ticket sales to cover the show's costs. If 37 adult tickets were sold, determine all possible values for the number of student tickets that the drama club must sell in order to meet the show's expenses
The drama club must sell at least 74 student tickets in order to meet the show's expenses.
Let's denote the number of student tickets sold as "S".
We know that each student ticket sells for $7.50, so the total revenue from student ticket sales is 7.50S dollars.
We are also given that each adult ticket sells for $10, and 37 adult tickets were sold. Therefore, the revenue from adult ticket sales is 10 * 37 dollars.
The total revenue from ticket sales must be at least $920 to cover the show's costs. Therefore, we can set up the equation:
7.50S + 10 * 37 ≥ 920
Now, we can solve this equation to find the range of possible values for S:
7.50S + 370 ≥ 920
7.50S ≥ 920 - 370
7.50S ≥ 550
S ≥ 550 / 7.50
S ≥ 73.33
Since the number of student tickets must be a whole number, the smallest possible value for S is 74. Therefore, the drama club must sell at least 74 student tickets in order to meet the show's expenses.
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i’ll give brainliest for this one question to be explained throughly.
brad made a graph showing how many students were absent from school every day last week.
use the graph to answer the questions.
4. Is the relation represented by the graph a function? Why or why not?
Answer:
The relation represented by the graph is not a function
Step-by-step explanation:
A function by definition is "a relation from a set of inputs to a set of outputs". For this graph there's no constant rate of change, you can't form a line with the points, and you can't write an equation or inequality from the points. There's no sort of relationship between the number of days and the number of students who are absent, so it's not a function.
Answer:
1. 1,7 2,10 3,5 4,7 5,9
2. 5
3. 2 10 Students were absent on day 2.
4.The graph is a function because each x-value is paired with a single y-value.
A greengrocer buys 20 cases of oranges at a cost of $15 per case. Each case contains 10 kg of oranges. If he sells the oranges at $4/kg, how many kilograms must he sell before he makes a profit? If he sells all the oranges what will be his profit?
Answer:greengrocer should Dell 17 kg before profit. 500$ profit
Step-by-step explanation:
Which of the following is an irrational number?
Answer:
52/68
Step-by-step explanation:
idr why
Answer: π
Step-by-step explanation:
An irrational number is a number that cannot be shown as a fraction. Based on this, π is an irrational number, since it goes on forever, and can never be written as a perfect fraction.
Solve the literal equation cy−7=5d+3y for y.
y=
Answer: y = 5d + 7 / c - 3
Step-by-step explanation:
Step 1: Add -3y to both sides
cy - 7 + -3y = 5d + 3y + -3y
= cy - 3y - 7 = 5d
Step 2: Now, add 7 on both sides
cy - 3y - 7 +7 = 5d +7
= cy - 3y = 5d +7
Step 3: Factor out y
y(c - 3) = 5d + 7
Step 4: Divide both sides by c-3
y(c - 3) / c - 3 = 5d+7 / c-3
Your answer for this should be
y = 5d + 7 / c - 3
Hope this helped!
Find the volume of the pyramid below.
4 cm
3 cm
3 cm
Answer:
Step-by-step explanation:
4x3x3=36