The two points that lie on the line of the best fit are (3, 7) and (7, 4).
What is the line of best fit?A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
Given:
The data values of the scatterplot are given in the image below.
The line of the best fit and the calculation are given in the image below.
From the graph;
(3, 7) and (7, 4) are the two points that lie on the line of the best fit.
Therefore, (3, 7) and (7, 4) are the two points.
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Tom has to put 1000 bottles into crates. One crate will take 24 bottles
How many crates will Tom need?
Answer:
Step-by-step explanation:
To determine how many crates Tom needs to put 1000 bottles into, we can divide the number of bottles by the number of bottles that fit into one crate.
So,
number of crates = 1000 bottles / 24 bottles per crate = 1000 / 24 = 41.67 (approximately 42 crates)
Therefore, Tom needs 42 crates to put 1000 bottles into.
Angle AOC = 3x - 18 and Angle ABC = x + 10. Calculate the measure of angle
AOC.
a. 48⁰
b. 96°
C. 144°
d. 192°
The angle is 144°.
What is the angle?In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The English word "angle" derives from the Latin word "angulus," which means "corner." The vertex and the two rays are referred to as the sides of an angle, respectively, and are the shared termini of two rays. A shared terminal between two rays (half-lines) is joined to create an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.
Thus;
∠AOC + ∠COD + ∠BOD = 180°
Since AOB is a straight line:
⇒3x-10+50+x+20=180
⇒4x = 120°
⇒x = 30°
Thus, ∠AOC = 3x - 18
∠AOC = 3 × 30° - 18
∠AOC = 72°
2(72) = 144°
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My problem is I don't know how to write an equation into exponential growth, or exponential decay.
To further explain, here is the math problem:
Rewrite y = 2(1.06)^9t in the form y = a(1+r)^t or y = a(1-r)^t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.
I have a 2nd math problem that's just like this, but with a different equation. Can anyone help me and also teach me the way to find the answer? My notes does not cover this.
This is exponential growth
==========================================================
Explanation:
The exponential rule we need is: a^(b*c) = (a^b)^c
Apply that rule and do a bit of rearranging:
y = 2(1.06)^(9t)
y = 2( (1.06)^9 )^t
y = 2( 1.68948 )^t
y = 2( 1 + 0.68948 )^t
y = 2( 1 + 0.69 )^t
The last equation fits the format of y = a(1+r)^t which tells us that...
a = 2r = 0.69 approximatelySince r is positive, we have exponential growth. If r was negative, then we'd have exponential decay.
The length of the rectangle is (4x + 2) and width of the rectangle 6x. Find the
perimeter of the rectangle.
A.10x + 2
B.20x + 4
C.10x + 4
D.20x - 4
Answer:
B. 20x + 4
Step-by-step explanation:
Perimeter of a rectangle = 2 × (Length + Width)
= 2 × [(4x + 2) + 6x]
Expand the brackets and bring like terms together:
= 2 × [4x + 2 + 6x]
= 2 × [4x + 6x + 2]
= 2 × [10x + 2]
Expand the brackets by applying the Distributive Law:
= 20x + 4
Option B.
help due tonight!!!!!!!! 100 points + Brainliest
The missing numerator are 7, 3, 6, 6, and 2
What are numerators?The Numerator is the number the at top of a fraction.
From the question, the numerators are
21) 2/3 x 7/5 = 14/15
The missing numerator here is 7
22) 5/6 X 3/7 = 5/14
The missing numerator here is 3
23) 3/4 X 6/7 = 9/14
The missing numerator here is 6
24) 6/9 X 2/4 = 1/2
The missing numerator here is 6
25) 9/10 X 2/3 = 3/5
The missing numerator here is 2
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Answer:
21) 7; 22) 3, 23) 6; 24) 6; 25) 2.-------------------------
Substitute ? with x and solve each equation.
21)
2/3 × x/5 = 14/152x/15 = 14/152x = 14x = 722)
5/6 × x/7 = 5/145x / 42 = 5/14x/42 = 1/14x = 42/14x = 323)
3/4 × x/7 = 9/143x/28 = 9/14x/28 = 3/14x/2 = 3x = 624)
x/9 × 2/4 = 1/3x/9 × 1/2 = 1/3x/18 = 1/3x = 18/3x = 625)
9/10 × x/3 = 3/53x/10 = 3/5x/2 = 1x = 2PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer:!(I think)! the answer might be 0
Step-by-step explanation:
6( 2 - 6o) = -24
6 times (2 - 6o) = -24
Answer:
x=1
Step-by-step explanation:
6(2-6x)=-24open bracket
12-36x=-24
collect like terms-36x=-24-12
-36x=-36
divide both sides by -36
x=1
b) From the following data of rainfall and production of rice, find the most likely production corresponding to the rainfall of 40 mm Rainfall Production (mm). (quintals) Mean: 35. 50 s.d. 5. 8 Coefficient of correlation = 0.8
The most likely production for a rainfall of 40 mm is 56.4 quintals.
How to determine the production that correspond to the rainfallFrom the question, we have the following parameters that can be used in our computation:
Rainfall (mm) Production (quintals)
Mean 35 50
S.D 5 8
Coefficient of correlation = 0.8
First, we need to calculate the regression equation, which is:
y = a + bx
Where
y is the predicted value of production x is the rainfalla is the interceptb is the slope of the regression line.To calculate the intercept and slope, we use the following formulas:
b = r * (SDy / SDx)
a = Ymean - b * Xmean
Plugging in the given values, we get:
b = 0.8 * (8 / 5) = 1.28
a = 50 - 1.28 * 35 = 5.2
Therefore, the regression equation is:
Y = 5.2 + 1.28x
To find the most likely production for a rainfall of 40 mm, we plug in x = 40 into the regression equation:
Y = 5.2 + 1.28 * 40
Y = 56.4
Hence, the most likely production is 56.4 quintals.
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How many gallons of a 50% antifreeze solution must be mixed with 80 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
240 gallons of a 50% antifreeze solution must be mixed with 80 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
Let's call the amount of 50% antifreeze solution that we want to mix with the 80 gallons of 10% antifreeze "x".
The total volume of the mixture after mixing x gallons of 50% antifreeze solution with 80 gallons of 10% antifreeze solution is given by (x + 80) gallons.
The concentration of antifreeze in the mixture is given by the weighted average of the antifreeze concentrations in the two solutions, where the weight for each solution is proportional to its volume:
(0.5x) + (0.1 * 80) = (0.4 * (x + 80))
Expanding and solving for x, we get:
0.5x + 8 = 0.4x + 32
0.1x = 24
x = 240
Therefore, we need to mix 240 gallons of 50% antifreeze solution with 80 gallons of 10% antifreeze solution to get a mixture that is 40% antifreeze.
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Math Fractions MOST LIKELY EASY 20 POINTS
Libby drinks 2 7/8 liters of water. Jack drinks 1 1/8 liters of water. How many more liters
of water does Libby drink than Jack?
The fraction of water Libby drinks is 1 6/8 more liters of water than Jack.
What are fractions?In mathematics, a fraction is represented by a numerical value that designates a portion of an entire. A fraction is a piece or section of a whole, where the whole can be any number, a particular value, or an object. Let's use an example to better comprehend this idea. A pizza cut into 8 equal pieces is depicted in the following diagram. Now, to describe a single portion of the pizza, we may use the notation 1/8, which indicates that, out of 8 equally sized portions, we are speaking of one portion.
Given that, Libby drinks 2 7/8 liters of water.
Coverting the mixed fraction into improper fraction:
2 7/8 = 2(8) + 7/ 8 = 23/8
Jack drinks 1 1/8 liters of water.
Coverting the mixed fraction into improper fraction:
1 1/8 = 8 + 1/8 = 9/8
The difference between is:
D = 23/8 - 9/8 = 14/8
14/8 = 1 6/8
Hence, Libby drinks 1 6/8 more liters of water than Jack.
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Graph the solution set of the following system of inequalities in the coordinate plane below:
See picture below:
The graph of the inequality is added as an attachment
How to determine the graphFrom the question, we have the following parameters that can be used in our computation:
y < -1/2x + 4 1/2
3x - 4y ≥ 12
The above expressions are linear inequality
Next, we plot the graph
See attachment for the graph of the inequality
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A farmer needs to fence a rectangular plot of land with the area of 3000 square yards. He considers several possible length of the plot: 50 yards, 40 yards, 48 yards, and 36 yards. What will be the width of the plot in each case? Do the length and the width of the rectangular plot vary directly or inversely when the same area is needed?
For length of 50 yards , the width is 60 yards, for length of 40 yards , the width is 75 yards, for length of 48 yards, the width is 62.5 yards , for length of 36 yards, the width is 83.33 yards, they are inversely proportional.
The formula for the area of a rectangle is: Area = Length * Width.
So, for the given case, we have:
Area = 3000 square yards
Length = 50 yards, 40 yards, 48 yards, or 36 yards
Therefore, the width of the plot in each case can be calculated as:
For Length = 50 yards,
Width = Area / Length
= 3000 / 50
= 60 yards
For Length = 40 yards,
Width = Area / Length
= 3000 / 40
= 75 yards
For Length = 48 yards,
Width = Area / Length
= 3000 / 48
= 62.5 yards
For Length = 36 yards,
Width = Area / Length
= 3000 / 36
= 83.33 yards
Therefore, the width of the plot depends on the length chosen and they are inversely proportional. When the length increases, the width decreases, and when the length decreases, the width increases.
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What is the formula of arc length of a curve?
Answer:
Arc Length=∫ba√1+[f′(x)]2dx. Note that we are integrating an expression involving f′(x), so we need to be sure f′(x) is integrable. This is why we require f(x) to be smooth.
Step-by-step explanation:
have a nice day
justin goes to a store to buy jeans and t shirts the jeans cost $40 each and the t shirts cost $20 each if justin spends $100 on 4 items how many pairs of jeans and how many t shirts did he buy
The required number Justin could have bought 1 pair of jeans and 3 t-shirts.
What is equation of two variable?If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.
According to question:Let's assume Justin bought x pairs of jeans and y t-shirts.
We know that the cost of each pair of jeans is $40 and the cost of each t-shirt is $20.
So, the total cost of Justin's purchase can be represented as:
Total cost = 40x + 20y
We also know that Justin bought a total of 4 items. So:
x + y = 4
Now we can use these two equations to solve for x and y:
40x + 20y = 100 (divide both sides by 20)
2x + y = 5 (subtract x from both sides)
Now we have two equations with two variables. We can solve for y in the second equation:
y = 5 - 2x
And substitute this into the first equation:
40x + 20(5-2x) = 100
Simplifying, we get:
40x + 100 - 40x = 100
100 = 100
This equation is true for any value of x and y that satisfy the condition x + y = 4.
So, Justin could have bought 1 pair of jeans and 3 t-shirts.
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What size is 4 cm in inches?
Answer:
1.5748 in
Step-by-step explanation:
Answer:
1 inch = 2.54 cm
4 / 2.54 = 1.5748031496 inches
Step-by-step explanation:
Need help ASAP! Write the inequality to represent the graph.
(didnt mean to put it at highschool, whoops!)
The inequality that represents the graph is given as follows:
x < 4.
What are the inequality symbols?The four inequality symbols, along with their meaning, are presented as follows:
> x: greater than x.< x: less than x.≥ x: at least x.≤ at most x.The numbers to the right of 4 that are shaded on the number line are the numbers that are less than 4, with an open interval, due to the open circle at x = 4, hence the inequality is given as follows:
x < 4.
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Joel and Rhonda were comparing their classroom economy bank accounts. The sum of their bank account balances was $160. The ratio of Joel’s account balance to Rhonda’s account balance was 4:1. How much more money does each student have in their account?
Answer:
Rhonda's: 32$ Joel's: 128$ Joel has 96 more dollars than Rhonda.
Step-by-step explanation:
4+1=5
5x=160
x=32
Rhonda's: 32$
Joel's: 128$
Joel has 96 more dollars than Rhonda.
The data set is this NOT the one in the IMAGE
THIS RIGHT HERE:{11,6,32,7,18,4,9,1,15,9,5,27}
Median would be a better measure of central tendency to use in the employees perspective, the mean of data set is 12.5 and median is 10, and
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Let us find the mean and median of the given data set {11,6,32,7,18,4,9,1,15,9,5,27}.
To find mean, we add up all the numbers and divide by the total number of numbers:
(11 + 6 + 32 + 7 + 18 + 4 + 9 + 1 + 15 + 9 + 5 + 27) / 12 = 12.5
So the mean number of years of employment is 12.5.
To find the median, we first need to put the numbers in order:
1, 4, 5, 6, 7, 9, 9, 11, 15, 18, 27, 32
Since there are 12 numbers, the median is the average of the middle two numbers, which are 9 and 11.
So the median is (9 + 11) / 2 = 10.
The median would be a better measure of central tendency to use, because it is less sensitive to extreme values than the mean
Hence, the mean of data set is 12.5 and median is 10, and median would be a better measure of central tendency to use in the employees perspective.
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will scale factor =12 enlarge, reduce or preserve
For {K} = 12, the image will remain preserved.
What is image dilation?An enlargement or reduction of a figure that preserves shape but not size.All dilations are similar to the original figure.Dilations have a center and a scale factor.Given is the scale factor of {K} = 12.
We can write the scale factor as -
reduction {for K < 1}
enlargement {for K > 1}
preserved {for K = 1}
For {K} = 12, the image will remain preserved.
Therefore, for {K} = 12, the image will remain preserved.
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Find the area of the rhombus below.
Since it's a rhombus, the the diagonal intersection point is the middle point, so the diagonal should be
d1=5x2=10cm
d2=2x2=4cm
area=(d1xd2)/2=(10x4)/2=20cm^2
(Easy!) The box plot shown displays the data on the response times of one hundred mice to see a flash of light.
What percent of mice responded in 0.8 seconds or more?
A. 25%
B. 50%
C. 75%
D. 100%
The percent of mice whose response time was 0.8 seconds or more is; Choice B; 50%.
How many mice responded in 0.8 seconds or more?As evident on the box plot; The response time, 0.8 seconds corresponds to the median of the plot.
Since the median represents the 2nd quartile of a distribution or otherwise termed , the 50th percentile;
It can be inferred that the percent of mice who responded in 0.8 seconds or more is; Choice B; 50%.
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What is independent variable dependent variable and constant?
how is the bell shaped histogram?
A bell-shaped histogram is a type of graph that displays a normal distribution, which is a probability distribution that is symmetrical and has a characteristic bell shape.
The bell-shaped histogram is created by plotting the data on a horizontal axis and the frequency or probability on a vertical axis. The data points are grouped into intervals called bins, and the number of data points that fall into each bin is plotted as a bar. The bars are typically drawn adjacent to one another and connected with lines to create a continuous curve that represents the normal distribution.
The resulting histogram will have a characteristic bell shape, with a high point at the mean, and decreasing frequency or probability as the values move away from the mean in either direction. The width of the curve is determined by the standard deviation of the data, with wider curves indicating greater variation in the data.
The bell-shaped histogram is commonly used in statistical analysis to represent normally distributed data, such as the heights or weights of a population, test scores, or other measurements that tend to cluster around a central value with a predictable range of variation.
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=-72[tex]x^{2}[/tex]
On solving for (x), we get -
x = ±i√(a/72).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is the equation as -
- 72x² = a
The given equation is -
- 72x² = a
x² = -a/72
x = ±i√(a/72)
Therefore, on solving for (x), we get -
x = ±i√(a/72).
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The brass section of a middle school jazz band has 4 trumpets and 3 trombones. What is the ratio of trombones to all the brass section members?
7/3
, 7:3, or 7 to 3
4/7
, 4:7, or 4 to 7
4/3
, 4:3, or 4 to 3
3/7
, 3:7, or 3 to 7
The required ratio of trombones to all the brass section members is 3 : 7.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The total number of members in the brass section of the jazz band is:
4 trumpets + 3 trombones = 7 members
The ratio of trombones to all the brass section members can be expressed as,
= 3 trombones / 7 brass section members
This ratio cannot be simplified further because the numbers are relatively prime.
Therefore, the ratio of trombones to all the brass section members is 3 : 7.
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Which of the following does not describe GE
The option that does not describe the Line GE is; B: Centroid
How to identify the properties of a triangle?A triangle has three sides, three angles, and three vertices.
The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
The sum of the length of any two sides of a triangle is greater than the length of the third side.
The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.
In this case, we see that the line GE divides DF into two equal parts and as such we can call this the median, perpendicular bisector or even angular bisector because it divides angle e into 2 equal angles for specific values of y.
Thus, this line cannot be the centroid
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When a data set has an outlier, which measure of central tendency would be the best measure of the middle to use?
If a data set has an outlier, the median would be the best measure of central tendency to use as it is less sensitive to extreme values compared to the mean.
The presence of an outlier can heavily skew the mean in the direction of the outlier, causing it to become an inaccurate representation of the center of the data. On the other side, the median is less sensitive to extreme values and represents the middle value of the dataset. It is calculated by finding the middle value in a dataset after arranging it in numerical order.
Therefore using the median as the measure of central tendency in a dataset with an outlier can provide a better indication of the typical value compared to the mean.
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how to write 1/400 as a percent
Answer:
0.25%
Step-by-step explanation:
Answer:
0.25%
Step-by-step explanation: you`re welcome :)
evaluate 9.3p + 8.9r when p=7 and r=8
The value of the expression for the given p and r value is 136.3.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 9.3p + 8.9.
Here, p=7 and r=8
Substitute p=7 and r=8 in 9.3p + 8.9r, we get
9.3×7+8.9×8
= 136.3
Therefore, the value of the expression is 136.3.
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‼️WILL MARK BRAINLIEST‼️
find:
30% of 45
5% of 70
35% of 340
♡please help
Answer: 13.5, 3.5, and 119
Step-by-step explanation:
To find these percentages, we can use the formula:percentage = (percentage value / 100) x (original value)Using this formula, we can calculate:30% of 45:
percentage = (30 / 100) x 45
percentage = 0.3 x 45
percentage = 13.5
5% of 70:
percentage = (5 / 100) x 70
percentage = 0.05 x 70
percentage = 3.5
35% of 340:
percentage = (35 / 100) x 340
percentage = 0.35 x 340
percentage = 119
Answer:
Answers below :D
Step-by-step explanation:
1. 30% of 45:
Write 30% as 30/100
Since, finding the fraction of a number is same as multiplying the fraction with the number-
30/100 of 45 = 30/100 × 45
Therefore, the answer is 13.5.
2. 5% of 70:
Write 5% as 5100
Use same reason above to multiply-
5/100 of 70 = 5/100 × 70
Therefore, the answer is 3.5.
3. 35% of 340:
Write 35% as 35/100
Multiply-
35/100 of 340 = 35/100 × 340
Therefore, the answer is 119.