Scores on one variable plotted against scores on a second variable.
The correct answer is (b)
Now, According to the question:
Let's know:
A scatterplot shows:
A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis. Each individual in the data appears as a point on the graph.
Hence, The correct answer is (b) i.e.,
Scores on one variable plotted against scores on a second variable.
Given,
In the question:
A scatterplot shows:
a. the average value of groups of data.
b. scores on one variable plotted against scores on a second variable.
c. the frequency with which values appear in the data
d. the proportion of data falling into different categories.
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If 10400 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the
end of 5 years for the following compounding methods, to the nearest cent.
(a) Annual: $
(b) Semiannual: $
(c) Monthly: $
(d) Daily: $
The interest estimated by compounding methods are-
(a) Annual: n = 1; CI = $860
(b) Semiannual: n = 2; CI = $862.
(c) Monthly: n = 12; CI = $865
(d) Daily: n = 365; CI = $855
Explain the term compound interest?When you add the interest you have already earned back into the principal balance, you are earning compound interest, which increases your profits.The formula for computing the compound interest is -
CI = A - P
A = P(1 + r/100nt)∧rt
In which,
CI = compound interestP = principal ($10,400)n = number of times compoundedr = rate of interest (8%)t = time (5 year)(a) Annual: n = 1
A = 10,400(1 + 8/500)∧5
A = 10,400 x 1.08
A = 11,260
CI = 11,260 - 10,400
CI = $860
(b) Semiannual: n = 2
A = 10,400(1 + 8/1000)∧10
A = 10,400 x 1.089
A = 11,262
CI = $862.
(c) Monthly: n = 12
A = 10,400(1 + 8/6000)∧60
A = 10,400 x 1.083
A = 11,265
CI = $865
(d) Daily: n = 365
A = 10,400(1 + 8/182500)∧1825
A = 10,400 x 1.0832
A = 11,255
CI = $855
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region. y―cos x, y= ????x, x= π/2
A=[e to the power of π/2-2] when the height and breadth of a typical approximate rectangle that you have drawn. then locate the region's area. y=eˣ, x=π/2, y=cos x
Given that,
We have to draw the area that the provided curves surround. Choose x or y as the integration direction. Label the height and breadth of a typical approximate rectangle that you have drawn. then locate the region's area. y=eˣ, x=π/2, y=cos x
We know that,
y=eˣ, x=π/2, y=cos x
Now area of the shaded region is
A=[tex]\int\limits^\pi/2_ x=0 \int\limits^e^{2} _y=cosx {dy} \, dx[/tex]
A=[tex]\int\limits^\pi/2_0 {e^{x}-cosx } \, dx[/tex]
Now we integrate with respect to x.
A=[eˣ-sinx]₀π/2
A=[e to the power of π/2- sin(π/2)]-[e⁰-sin(0)]
A=[e to the power of π/2-1]-[1-0]
A=[e to the power of π/2-1-1]
A=[e to the power of π/2-2]
Therefore, A=[e to the power of π/2-2] when the height and breadth of a typical approximate rectangle that you have drawn. then locate the region's area. y=eˣ, x=π/2, y=cos x
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Add.
(7v–4)+(–4v3–v2–8v–5)
Answer:
-4v³ - v² - v - 9
Step-by-step explanation:
1. Subtract the numbers
7v - 4 - 4v³ - v² - 8v - 5
7v - 9 - 4v³ - v² - 8v
2. Combine like terms
7v - 9 - 4v³ - v² - 8v
-v - 9 - 4v³ - v²
3. Rearrange Terms
-v - 9 - 4v³ - v²
-4v³ - v² - v - 9
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you have been asked to assemble a two person team from among your five person team. how many different teams are there
If you have been asked to assemble a two person team from among your five person team, then there are 10 different teams
Total number of members for the team = 5
Number of members that we need to assemble = 2
Here we have to use the combination
The combination is defined as the number of ways of selecting samples from the collection and the order of the collection does not matter
The number of combination of 2 members from a 5 member team = [tex]5C_2[/tex]
= 5! / 2!(5-2)!
= 5! / 2! × 3!
= (5 × 4 × 3!) /(2! × 3!)
= (5 × 4) / 2
= 20 / 2
= 10
Therefore, there are 10 different teams
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The sum of the digits of a three-digit number is 13. The tens digit, t, is 1 more than the hundreds digit, h. The units digit, u, is 3 more than the sum of the tens and hundreds digits. Which system of equations can be used to find each digit?.
Using the system of equations we get the values of 3 digit number as:
238
Given:
The sum of the digits of a three-digit number is 13.
The tens digit, t, is 1 more than the hundreds digit, h. The units digit, u, is 3 more than the sum of the tens and hundreds digits.
we are asked to determine each digit of the given number:
we frame the equation as:
tens digit (t) = 1+h
hundreds digit (h) = h
units digit (u) = 3+(t+h)
hence,
h + (1+h) + (3+(t+h)) = 13
open the brackets.
h+1+h+3+(t+h)=13
substitute t value from the above mentioned state.
h+1+h+3+((1+h)+h)=13
h+1+h+3+1+h+h=13
arrange the like terms and add.
4h + 5 = 13
4h = 13-5
4h=8
h = 8/4
h = 2
hence we get the hundreds digit as 2.
now substitute it to get t and u value.
t = 1+h
t = 1+2
t = 3
tens digit = 3
u = 3+(t+h)
u = 3+(3+2)
u = 3+5
u = 8
units digit = 8
Hence we get the number as 238 whose sum is 13 when added.
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Speedometer readings for a vehicle (in motion) at 7-second intervals are given in the table. t (sec) v (ft/s) 0 7 14 21 28 Estimate the distance traveled by the vehicle during this 35-second period using the velocities at the beginning of the time intervals. distance traveled feet Give another estimate using the velocities at the end of the time periods. distance traveled feet License Points possible: 1 This is attempt 1 of 1.
Another estimate is given as L6, R6, and M3 using the velocities at the conclusion of the time periods.
The table provides speedometer readings of velocity for a moving vehicle at 7-second intervals. t (sec) v (ft/s) 0 7 14 21 28 Using the speeds at the start of the time intervals, calculate the distance the car went during this 35-second span. travel distance in feet
Just figure out the rectangles' surface areas. Always draw the picture; it will be really helpful.
L6 = 10(0+9+31+56+71+68) \sR6 = 10(9+31+56+71+68+50) \sM3 = 20(9+56+68)
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Determine whether the pair of lines appear to be parallel or perpendicular.
1. The lines are perpendicular because they are always the same distance apart and never intersect.
2. The lines are parallel because they are always the same distance apart and never intersect.
3. The lines are parallel because they intersect at a right angle.
4. The lines are perpendicular because they intersect at a right angle.
Answer:
4
Step-by-step explanation:
The lines are perpendicular because they intersect at a right angle.
a food truck only sells two types of sandwiches ham and chicken.
the food trucks charges 350 for ham sandwiches and four for chicken sandwiches.
two nights ago the food truck sold $415 worth of sandwiches the food truck sold 110 sandwiches.
the system of equations written below represents the Food Truck Sale of sandwiches H + C equals 110 3.50 H + 4 C = 415.
how many chicken sandwiches did they sell ?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The number of chicken sandwiches is 60.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 - 6 is an equation.
We have,
Number of ham sandwiches = H
Number of chicken sandwiches = C
Cost of ham sandwiches = $3.50
Cost of chicken sandwiches = $4
Now,
The total number of sandwiches = 110
The total amount earned = $415
Now,
The two equations are:
H + C = 110 _____(1)
3.50H + 4C = 415 _____(2)
From (1) we get,
C = 110 - H _____(3)
Now,
Putting (3) in (2) we get,
3.50H + 4(110 - H) = 415
3.50H + 440 - 4H = 415
-0.5H = 415 - 440
-0.5H = -25
H = 25/0.5
H = 50
Now,
Putting H = 50 in (3) we get,
C = 110 - H
C = 110 - 50
C = 60
Thus,
The number of chicken sandwiches is 60.
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I need help with this please
Answer:
He spent 4&1/10 hours
Step-by-step explanation:
2&1/2+1&3/5
=5/2+8/5
=25/10+16/10
=41/10
4&1/10
Write the equation of the circle centered at (5,-2) with diameter 14.
Answer:
Step-by-step explanation:
P & P contractors was paid $562 by the Rogers family to build a fence. Six workers worked on the fence and each worker was to be paid the same. P & P Contractors took $148 dollars before any workers were paid. How many dollars did each worker make?
Answer: $69
Step-by-step explanation: 562-148=414 & 414/6=69
Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.
Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.
What are z-scores?How closely a value relates to the mean of a set of values is expressed by a Z-score.
The Z-score is created using standard deviations from the mean.
A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.
So, in order to determine how far the raw score deviates from the mean, the Z score is used.
The following steps are used to determine the Z score:
z = (x - μ)/σ
We know that: x > 550 and μ = 500, σ = 40
z = 550 - 500 / 40
z = 1.25
The graph of the normal distribution indicates:
P(z > 1.25) = 1 - P(z < 1.25)
P(z > 1.25) = 1 - 0.8944
P(z > 1.25) = 0.1056
Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.
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Cody has $1400 in a savings account that earns 4 % annually. How much will he have total after 3 years?
Answer: $4368
Step-by-step explanation:
Find 4% of 1400 by taking 1400 times 0.04 = $56
So a year he has 1456$
After 3 years just need to take 1456 times 3 = $4368
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I need help with this linear equation.
The linear equation of the relationship is L = -8t + 40.
The amount Austin paid back each week is: $8.
How to Write a Linear Equation?A linear equation is straight line graph, which can be expressed as y = mx + b, in slope-intercept form. In the slope-intercept form, we have:
The value of m as the slope of the linear equation.The value of b as the initial value or y-intercept.Slope = change in y / change in x.
Using two pairs of values from the table given, (1, 32) and (2, 24):
Slope (m) = (32 - 24) / (1 - 2)
m = 8/-1
m = -8.
Find the y-intercept (b) by substituting m = -8 and (x, y) = (1, 32) into y = mx + b:
32 = -8(1) + b
32 = -8 + b
32 + 8 = b
40 = b
b = 40
Substitute b = 40 and m = -8 into L = mt + b:
L = -8t + 40
Using the linear equation, the amount Austin paid back each week is: $8.
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the width of a rectangle is 6 centimeters less than the length. the perimeter is 148 centimeters. find the length and width.
The rectangle has a length of 40 cm and width of 34 cm.
Given,
The length of a rectangle = x cm
The width of the rectangle = x - 6 cm
The perimeter of the rectangle = 148 cm
We have to find the length and width of the rectangle;
Here,
Perimeter of rectangle = 2(length + width)
That is,
148 = 2(x + x - 6)
148/2 = 2x - 6
74 = 2x - 6
74 + 6 = 2x
x = 80/2
Length, x = 40 cm
Width, x - 6 = 40 - 6 = 34 cm
Therefore,
The length of the rectangle is 40 cm and the width of the rectangle is 34 cm
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all of the following increase the width of a confidence interval except a. decreased sample size b. increased sample size c. increased confidence level d. increased variation
The width of a confidence interval except increased sample size.
What is the Confidence Interval?
An area surrounding a measurement that indicates how accurate it is is called a confidence interval.
The following points clear the answer of given question:
The width of the confidence interval decreases as the sample size increases.The width increases as the standard deviation increases.The width increases as the confidence level increases. The width increases as the significance level decreases.Hence, The width of a confidence interval except increased sample size.
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A line with a slope of –12 passes through the points (–3,–6) and (r,–10). What is the value of r?
The value of r is r = -8/3, for a line that has slope -12, passes through points (-3, -6) and (r, -10)
What is slope ?Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.
Slope formula = (y₂-y₁)/(x₂-x₁)
Given that,
A line that has slope -12, passes through points (-3, -6) and (r, -10).
To find the slope of the line that passes through points (-3, -6) and (r, -10),
Use slope formula,
m = (y₂-y₁) / (x₂-x₁)
m = (-10 + 6) / r - (-3)
m = -4 / (r+3)
Since a line that has slope -12 passes through the points (-3, -6) and (r, -10),
Therefore, both will have the same slope,
-4 / (r+3) = -12
r + 3 = 1/3
r = 1/3 - 3
r = -8/3
The required value of r is -8/3.
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help pleaseee!!!! !!!
Answer:
x=2173
Step-by-step explanation:
if you could please help me that would be great.
7 times X equals 8 times X
Answer: X=0
Step-by-step explanation: X is equal to zero. This is the only way the equation can be true.
A bus leaves Deltaville at 11:32 it’s a travels at an average speed of 42 km/h if it arrives in eastwich at12:42 what is the distance between the two towns ?
Answer:
7.14 km
Step-by-step explanation:
the total time that the bus takes to travel from Deltaville to Eastwick 12:42 - 11:32 = 00:10
Convert to hours 00:10 / 60 minutes/hour = 0.17 hours.
distance = speed * time
distance = 42 km/h * 0.17 hours
distance = 7.14 km
measurements of variables must be sensitive to be able to measure differences between participants. however, if a measurement was not sensitive, and resulted in everyone scoring high, then this is called:
If a measurement was not sensitive, and resulted in everyone scoring high, then this is called a ceiling effect
Given,
Ceiling effect;-
When a large percentage of study participants get the highest scores on the observable variable, it is said that a ceiling effect has occurred. Discrimination between subjects at the top end of the scale is therefore impossible. For instance, a test could result in, say, 50% of the students receiving a perfect score.
Here,
To be able to measure participant differences, variables must be measured with sufficient sensitivity. However, if a test was insensitive and everyone received good scores, this is known as ceiling effect
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A chart which is intended to show the relative values of a set of variables in comparison to each other is a _____.
a. column chart
b. scatter plot
c. pie chart
d. line chart
Factor each polynomial
Answer: (2x + 5) (4x^2 -10 + 25)
Step-by-step explanation:
I use the equation a^3 + b^3 = (a+b) ( a^2 -ab + b^2)
You can factor the answer (2x + 5) (4x^2 -10 + 25) out to check and will get 8x^3 +125
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When 27 is subtracted from the square of a number, the result is 6 times the number. Find the negative solution, please! I need help-
Hence, the negative solution is [tex]x=-3[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
When [tex]27[/tex] is subtracted from the square of a number, the result is [tex]6[/tex] times the number.
So we can write the equation is
[tex]x^2-27=6x\\x^2-6x-27=0\\x^2-9x+3x-27=0\\x(x-9)+3(x-9)=0\\(x+3)(x-9)=0\\x=-3,9[/tex]
Hence, the negative solution is [tex]x=-3[/tex].
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BRAINLIEST !!! The data below are the heights of mothers (x values) and their corresponding
daughters (y values)
X Y
63 59
67 65
64 65
60 61
65 65
67 67
59 61
60 63
58 60
72 71
63 62
a. Calculate the correlation coefficient of the data.
b. Based on the correlation coefficient, is there a correlation between the heights of
daughters and mothers? Explain your answer.
Answer:
a. The correlation coefficient of the data is 0.817.
b. Yes, there is a correlation between the heights of daughters and mothers. The correlation coefficient of 0.817 indicates a strong positive correlation, meaning that as the height of the mother increases, the height of the daughter also increases.
simplify 4m square-5mn square+8m square -6n square m -m square.
question: 4m^2 - 5mn^2 + 8m^2 - 6n^2m - m^2
answer:
11m^2-11mn^2 (see pictures)
A line with a slope of –14 passes through the point (3,3). What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
The required equation of the line is given as y = -14x + 45.
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
Given that,
The slope of the line is -14.
And, the point it passes through is (3, 3).
The equation of the line for given data can be written as follows,
(y - 3)/(x - 3) = -14
=> y - 3 = -14(x - 3)
=> y = -14x + 42 + 3
=> y = -14x + 45
Hence, the equation of the line for the given point and slope can be written as y = -14x + 45.
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The required linear functions are A(t) = 50t + 100 and B(t) = 25t + 200 which are represented in the attached graph. Company A is cheaper if the time is less than 4 hours.
As per the given question, we can write the linear functions as:
A(t) = 50t + 100
B(t) = 25t + 200
We can determine time t when both companies charge the same rate by equating the two equations.
50t + 100 = 25t + 200
Subtract 25t from both sides and subtract 100 from both sides
25t = 100
Divide both sides by 25
t = 4
At 4 hours both companies charge the same rate. So Company A is cheaper if the time is less than 4 hours.
After 4 hours, company B is cheaper.
Since both functions are linear, we only need two points to plot each one onto a graph.
Thus, the required linear functions are A(t) = 50t + 100 and B(t) = 25t + 200 which are represented in the attached graph.
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The function below has at least one rational zero. Use this fact to find all zeros of the function h(x) = 7x4 - 9x3 - 41x2 + 13x + 6. If more than one zero, separate with commas. Write exact values, not decimal approximations.
Assuming that h(x) = 7x4 - 9x3 - 41x2 + 13x + 6 and h(-2) = 7, (-2) 4 - 9(-2) (-2) 3 - 41(-2) (-2) 2 + 13(-2) + 6 = 7(16) - 9(-8) (-8) - 41(4) + 13(-2) + 6 = 0;
This indicates that (x + 2) is a synthetic polynomial factor.
(7x4 - 9x3 - 41x2 + 13x + 6) ÷ (x + 2):
The balance is zero.
A polynomial of degree 3 makes up the quotient: g(x) = 7x3 - 23x2 + 5x + 3.
The Rational Zeros Theorem shows that p: 1, 3, which are factors of the constant term 3, and q: 1, 7, which are factors of the leading coefficient 7, respectively
All potential outcomes are p/q: 1, 3, 1/ 7, and 3/7 g(3) = 7. (3)
3 - 23(3) +(3)
By artificial division:
The balance is zero.
The polynomial quotient is quadratic.
7x2 - 2x - 1 = 0
Equation for quadratics = [-b (b2 - 4ac)]/2a
x = -(-2) ± √[(-2)2 - (4 × 7 × -1)]/ (2 × 7) = (2 ± √32)/14 = (1 ± 2√2)/7
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