The diagonals of a rhombus measure 8cm and 6cm .what is the length of a side of the rhombud
All sides of the given rhombus measure 5 cm respectively.
What is a rhombus?A rhombus is a quadrilateral with four equal-length sides in planar Euclidean geometry.
The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.
Quadrilaterals having four congruent sides are called squares.
Squares are rhombuses by definition since they are quadrilaterals with four congruent sides.
So, consider the following values: AC = 8 cm, BD = 6 cm, OD = OB = 3 cm, and OA = OC = 4 cm.
Now,
OB² + OC² = BC²
3²+ 4² = BC²
9 + 16 = BC²
25 = BC²
5 = BC
A rhombus has an equal number of sides.
Therefore, all sides of the given rhombus measure 5 cm respectively.
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on the south side of the building, the first quartile is 43cm, the median is 46cm, and the third quartile is 48cm. if she goes to the south side and randomly selects three daffodils, what is the probability that none of them are between 46cm and 48cm?
Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.
What is probability?Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.
Since the median of the data is 46cm
the third quartile is 48cm,
this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.
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Annie's homemade chili recipe calls for 2 pounds of ground beef for every 5 cans of beans. How many pounds of ground beef does she need for 1 can of beans? *
Answer:
2/5 or 0.4 pound for 1 can
Step-by-step explanation:
Divide the number of pound by the number of cans to know how much pound per can 2/5 = 0.4
OR
5 cans ------------2 pounds
1 can------------------x
Cross multiplication
5x = 2
x= 2/5
Solve this system of equations by
using the elimination method.
4x - 6y=-20
-2x + 4y = 6
([?], [_])
Answer:
(- 11, - 4 )
Step-by-step explanation:
4x - 6y = - 20 → (1)
- 2x + 4y = 6 → (2)
multiplying (2) by 2 and adding to (1) will eliminate x
- 4x + 8y = 12 → (3)
add (1) and (3) term by term to eliminate x
0 + 2y = - 8
2y = - 8 ( divide both sides by 2 )
y = - 4
substitute y = - 4 into either of the 2 equations and solve for x
substituting into (1)
4x - 6(- 4) = - 20
4x + 24 = - 20 ( subtract 24 from both sides )
4x = - 44 ( divide both sides by 4 )
x = - 11
solution is (- 11, - 4 )
Use a graphing utility to graph fx)-2x5 on the interval -2.25 and approximate any local maxima and local minina (b) Dermine where f is increasing and where it is decreasing (a) Lising a graphing unity graph the function for 26x52 and 4sys10 Choose the corect graph, below The local masinum is y sandra it (Round to two decal places) 3
The function is increasing on the interval (-∞, ∞). Therefore, the correct graph is graph (c).The function f(x) = -2x^5 can be graphed using a graphing utility. On the interval -2 to 2.25, we can approximate any local maxima and local minima.
So, let's begin by graphing the function using an online graphing utility such as Desmos. The graph of the function is as follows:Graph of f(x) = -2x^5 on the interval -2 to 2.25We can see from the graph that there is only one local maximum at around x = -1.3 and y = 4.68. There are no local minima on the interval. Now, to determine where f is increasing and where it is decreasing, we need to look at the sign of the maxima derivative of f.
The derivative of f is f'(x) = -10x^4. The sign of f' tells us whether f is increasing or decreasing. f' is positive when x < 0 and negative when x > 0. Therefore, f is increasing on (-∞, 0) and decreasing on (0, ∞). Now, let's look at the second part of the question. For the function g(x) = 26x^5 + 2, we can also graph it using Desmos. The graph of the function is as follows:Graph of g(x) = 26x^5 + 2As we can see from the graph, there are no local maxima or minima. The function is increasing on the interval (-∞, ∞). Finally, for the function h(x) = 4sin(x/10), we can also graph it using Desmos. The graph of the function is as follows:Graph of h(x) = 4sin(x/10)As we can see from the graph, there are no local maxima or minima.
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For the function 4x³+10; it is increasing on the interval (-∞,∞).
The correct graph for 26x^5+2x^2 and 4x^3+10 is shown in option C.
Given function is: f(x) = -2x⁵
We need to find the local maxima and local minima using the given function using graphing utility.
We also need to determine where f is increasing and where it is decreasing and graph the function of
26x⁵+2x² and 4x³+10.
We will use an online graphing utility to graph the given functions.
Graphing of -2x⁵ function:
Using the above graph, we can see that there is a local maximum at x = -1.177 and local minimum at x = 1.177.
Local maximum at x = -1.177 ≈ -1.18
Local minimum at x = 1.177 ≈ 1.18
Graphing of 26x⁵+2x² function:
Graphing of 4x³+10 function:
Increasing and decreasing intervals:
For the function -2x⁵; it is decreasing on the interval (-∞,0) and increasing on the interval (0,∞).
For the function 26x⁵+2x²; it is increasing on the interval (-∞,∞).
For the function 4x³+10; it is increasing on the interval (-∞,∞).
Therefore, the correct graph for 26x⁵+2x² and 4x³+10 is shown in option C.
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A line passes through the points (−4, 50) and (5, −31). What is the equation of the line in slope-intercept form?
Answer:
y = - 9x + 14
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )
m = \(\frac{-31-50}{5-(-4)}\) = \(\frac{-81}{5+4}\) = \(\frac{-81}{9}\) = - 9 , then
y = - 9x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, - 31 )
- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )
14 = c
y = - 9x + 14 ← equation of line
Use proportional reasoning to solve for the missing value in each of the following scenarios. Enter a numerical answer only.
1.) If a business jet burns 300 gallons of gasoline per hour, it burns____gallons of gasoline in a three hour flight.
2.) On average, one gallon of gasoline weights approximately six pounds. Fifty gallons of gasoline weighs____pounds.
3.) For every one yard, there are thirty-six inches. 2,124 inches =_______ yards
4.) A person who weighs 240 pounds burns 180 calories per mile of running.A person who weighs_____ pounds, burns thirty-six calories while running one mile.
5.) A rice casserole recipe serves four people and requires two tablespoons of butter. A rice casserole that requires six (6) tablespoons of butter serves____ people.
Answer:
1.) 900
2.) 300
3.) 59
4.) 48
5.) 12
Step-by-step explanation:
1.) 300 x 3 = 900
2.) 50 x 6 = 300
3.) 2,124 / 36 = 59
4.) 180 / 36 = 5 | 240 / 5 = 48
5.) 6 / 2 = 3 | 4 x 3 = 12
Hope this helps.
If there is something wrong, please let me know.
Proportional reasoning refers to the ability to compare and analyze relationships between two or more quantities that change in a consistent way. It involves understanding the concept of proportionality and applying it to solve problems.
1.) If a business jet burns 300 gallons of gasoline per hour, it burns 900 gallons of gasoline in a three-hour flight. This can be calculated by multiplying the burn rate of 300 gallons per hour by the duration of the flight, which is three hours.
2.) On average, one gallon of gasoline weighs approximately six pounds. Therefore, fifty gallons of gasoline weighs 300 pounds. This can be calculated by multiplying the weight of one gallon (six pounds) by the quantity of fifty gallons.
3.) For every one yard, there are thirty-six inches. To find the number of yards in 2,124 inches, we divide 2,124 by 36. The result is 59 yards. This can be calculated by dividing the total number of inches by the conversion factor of thirty-six inches per yard.
4.) A person who weighs 240 pounds burns 180 calories per mile of running. A person who weighs 48 pounds, burns thirty-six calories while running one mile. To find the number of pounds for which the person burns thirty-six calories while running one mile, we can set up a proportion. If we let x represent the weight in pounds, the proportion would be: 240 pounds / 180 calories = x pounds / 36 calories. Solving for x gives us x = 48 pounds.
5.) A rice casserole recipe serves four people and requires two tablespoons of butter. If a rice casserole requires six tablespoons of butter, it serves twelve people. This can be determined by setting up a proportion: 4 people / 2 tablespoons = 12 people / 6 tablespoons. Solving for the unknown number of people gives us 12 people.
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in a survey of 2480 golfers, 15% said they were left-handed. the survey's margin of error was 3%. construct a confidence interval for the proportion of left-handed golfers.
The confidence interval for the proportion of left-handed golfers is of:
(0.12, 0.18).
How to obtain a confidence interval?A confidence interval is calculated as the sample mean plus/minus the margin of error, hence the bounds of the confidence interval are given as follows:
Lower bound: sample mean - margin of error.Upper bound: sample mean + margin of error.In the context of this problem, these parameters are given as follows:
Sample mean: 15% as a percentage, 0.15 as a proportion.Margin of error: 3% as a percentage, 0.03 as a proportion.Hence the lower bound of the confidence interval for the proportion of left-handed golfers is:
0.15 - 0.03 = 0.12.
The upper bound of the confidence interval for the proportion of left-handed golfers is:
0.15 + 0.03 = 0.18.
Then the interval is:
(0.12, 0.18).
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Which expression is a factor of 10x2 11x 3? x − 3 2x 1 5x − 3 10x 3
Among the options given 2x + 1 is the factor of the expression 10\(x^2\) + 11x + 3.
As per the data given the expression is:
10\(x^2\) + 11x + 3
Here we have to find one of the factors of the given quadratic equation.
To find the factors of the quadratic equation we have to factorize the given equation
10\(x^2\) +5x + 6x + 3
Taking the common terms from the first two terms and the last two terms.
A common term in the first two terms is 5x.
A common term in the last two terms is 3.
5x(2x + 1) + 3(2x + 1)
Group the expression in parentheses
(5x + 3)(2x + 1)
Hence the factor of the given expression is 2x + 1
Comparing the factors given in the options 2x + 1 option (b) is correct
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Which expression is a factor of 10\(x^2\) + 11x + 3?
(a) x − 3
(b) 2x + 1
(c) 5x − 3
(d) 10x + 3
Answer is : 2x + 1
Step-by-step explanation: Just did it
need help with this. its very hard and i dont know what to do and my work is due at 11:59 pm today .
Answer:
125°
Step-by-step explanation:
Sum of all the internal angles in a triangle is 180°
So, we have,
67°+58°+ Adjacent angle of 1 = 180°
125°+Adjacent angle of 1 = 180°
Adjacent angle of 1 = 180° - 125° = 55°
Angle 1 and its adjacent angle are supplementary
So, Angle 1 + Adjacent angle of 1 = 180°
Angle 1 + 55° = 180°
Angle 1 = 180° - 55° = 125°
In 1992, the moose population in a park was measured to be 3590. By 1999, the population was measured again to be 4500. If the population continues to change linearly
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t)= ____
B.) What does your model predict the moose population to be in 2006?
Answer:
A.) P(t) = 130t +3330
B.) P(16) = 5410
Step-by-step explanation:
Given the ordered pairs (t, P(t)) = (2, 3590) and (9, 4500), you want a linear model that describes the relation. You also want the value of P(16).
A.) Linear modelWe can write the formula for P(t) starting with the point-slope equation for P in terms of t. To do that, we need the slope:
m = (P2 -P1)/(t2 -t1)
m = (4500 -3590)/(9 -2) = 910/7 = 130
The point-slope equation will be ...
P -P1 = m(t -t1)
P -3590 = 130(t -2)
Solving for P, we find ...
P = 130t -260 +3590 . . . . . eliminate parentheses, add 3590
P(t) = 130t +3330
B.) PredictionThe value of P(16) will be ...
P(16) = 130(16) +3330 = 2080 +3330 = 5410
The moose population is predicted to be 5410 in 2006.
__
Additional comment
The value of t is years since 1990, so the relevant values are ...
1992: t = 1992 -1990 = 2
1999: t = 1999 -1990 = 9
2006: t = 2006 -1990 = 16
Values of moose population by linear model A.) P(t) = 130t +3330 B.) P(16) = 5410
What does the term "linear model" mean?
In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. A linear model is not just a straight line or its higher dimensional equivalent.Given the ordered pairs (t, P(t)) = (2, 3590) and (9, 4500), you want a linear model that describes the relation. You also want the value of P(16).
A.) Linear model
We can write the formula for P(t) starting with the point-slope equation for P in terms of t. To do that, we need the slope:
m = (P2 -P1)/(t2 -t1)
m = (4500 -3590)/(9 -2) = 910/7 = 130
The point-slope equation will be
P -P1 = m(t -t1)
P -3590 = 130(t -2)
Solving for P, we find
P = 130t -260 +3590 . . . . . eliminate parentheses, add 3590
P(t) = 130t +3330
B.) Prediction
The value of P(16) will be
P(16) = 130(16) +3330 = 2080 +3330 = 5410
The moose population is predicted to be 5410 in 2006.
(B) The value of t is years since 1990, so the relevant values are
1992: t = 1992 -1990 = 2
1999: t = 1999 -1990 = 9
2006: t = 2006 -1990 = 16
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Find the area of the circle with the following dimension
Diameter:14cm
The area is ___ cm^2
(Round your answer to the nearest tenth as needed)
Step-by-step explanation:
Area of circle = 2πr²
diameter = 14 cm
so,
after inserting values in the formula we got,
2 × 22/7 × 14
→ 2 × 22 × 2 = 44 × 2 = 88 cm²
hence, area of the circle is 88cm²
hope this answer helps you dear
Shawn earned $2.77 per day for three days as interest on his $1,000.00 investment. What percent interest did he earn in total?
find the surface area of each rectangular prism
What is the slope of the line that passes through
(−2, 3) and (5, −6)
a.-1/2
b.−1
c.-9/7
d. I don't know.
Start with the slope formula.
m = y₂ - y₁ / x₂ - x₁
m = -6 - 3 / 5 - -2
m = -9 / 7
So the slope is -9/7.
AC method factoring requires the polynomial to be
Mindy
James
Jane
Michael
Harry
George
Sally
(Desktop/Laptop, Cost)
(Laptop, 1700)
(Laptop, 1400)
(Desktop, 1200)
(Laptop, 800)
(Desktop, 800)
(Desktop, 700)
(Laptop, 1000)
Consider the above ordered pair chart.
less than $1000.
_______ person(s) have desktops costing
Sally has a desktop costing less than $1000.
Based on the given ordered pair chart, the individuals who have desktops are:
Michael: (Desktop, 1200)
Harry: (Desktop, 800)
George: (Desktop, 800)
Sally: (Desktop, 700)
Out of these four individuals, only Sally has a desktop costing less than $1000 (specifically $700).
Therefore, one person (Sally) has a desktop costing less than $1000.
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What is 3 1/4 x 2/5 x1/2
Answer: 0.65
Step-by-step explanation:
Answer:
\(\frac{13}{20}\)
Explanation:
\(3 \frac{1}{4}\) × \(\frac{2}{5}\) × \(\frac{1}{2}\)
First, you want to remove any coefficient in front of the fraction.
\(3\frac{1}{4} = \frac{13}{4}\)
To change \(3\frac{1}{4}\), first you multiply the coefficient 3 to 4, which equals 12. Then add 12 to 1, which equals 13.
Now multiply:
\(\frac{13}{4}\) × \(\frac{2}{5}\) × \(\frac{1}{2}\)
\(13\) × \(2\) × \(1\) = \(26\)
\(4\) × \(5\) × \(2\) = \(40\)
\(\frac{13}{4}\) × \(\frac{2}{5}\) × \(\frac{1}{2}\) = \(\frac{26}{40}\)
Simplify:
\(\frac{26}{40}\) = \(\frac{13}{20}\)
Evaluate the expression?????
1-2x+3y for x=-2 and y=-5
Answer:
-10
Step-by-step explanation:
I used an app that helps me answer questions and yes its -10 the person that answered before me is correct :D
The value of the linear expression 1 - 2x + 3y at x = -2 and y = -5 will be negative 10.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The linear expression is given below.
⇒ 1 - 2x + 3y
The value of the linear expression 1 - 2x + 3y at x = -2 and y = -5 will be
⇒ 1 - 2x + 3y
⇒ 1 - 2(-2) + 3(-5)
⇒ 1 + 4 - 15
⇒ 5 - 15
⇒ -10
The value of the linear expression 1 - 2x + 3y at x = -2 and y = -5 will be negative 10.
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Over the first 20 games of the season, the distribution of a basketball teams scores is bell shaped with
a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94, 110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?
Answer
Option A is correct.
The new mean is greater than the previous mean.
Explanation
The team's average number of points per game is the mean number of points
In the first 20 games, the mean or average points per game is given as 94 points per game.
So, we need to calculate the new mean know the answer
The mean is the average of the distribution. It is obtained mathematically as the sum of variables divided by the number of variables.
Mean = (Σx)/N
x = each variable
Σx = Sum of the variables
N = number of variables
Σx = 94 + 110 + 102 + 93 + 98 + 99 + 121 + 96 + 94 + 108 = 1015
N = 10
Mean = (Σx)/N = (1015/10) = 101.5 points per game
We can easily see that the mean increases.
Hope this Helps!!!
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or the formula y2=y1(x)∫e−∫P(x)dxy12(x)dx, as instructed, to find a second solution y2(x). y" + 2y' + y = 0 ; y1=xe−x
A) y2 =e^{-4x}
B) y2 =e^x
C) y2 =e^{-2x}
D) y2 =e^{-x}
To find a second solution, y2(x), for the given differential equation y" + 2y' + y = 0 using the reduction of order or the formula y2 = y1(x)∫e^(-∫P(x)dx)y1^2(x)dx, we will substitute the given solution y1(x) = xe^(-x) into the formula.
The second solution is y2(x) = e^(-2x) (Option C).
To explain the solution, let's start by substituting y1(x) = xe^(-x) into the formula for y2(x):
y2(x) = xe^(-x) ∫e^(-∫(2x)dx)(xe^(-x))^2dx
Simplifying the expression, we have:
y2(x) = xe^(-x) ∫e^(-2x)(x^2e^(-2x))dx
Integrating the expression inside the integral, we get:
y2(x) = xe^(-x) ∫(x^2e^(-4x))dx
Integrating this expression, we find:
y2(x) = xe^(-x) (-1/4) * (x^2e^(-4x) - 2∫xe^(-4x)dx)
Simplifying further, we have:
y2(x) = xe^(-x) (-1/4) * (x^2e^(-4x) - 2(-1/4)e^(-4x))
Finally, simplifying the expression, we obtain:
y2(x) = xe^(-x) (1/4) * (x^2e^(-4x) + (1/2)e^(-4x))
This can be further simplified as:
y2(x) = (1/4) * x^3e^(-5x) + (1/8) * xe^(-5x)
Therefore, the second solution is y2(x) = e^(-2x) (Option C).
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what does it mean when the second derivative equals zero
When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.
Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.
Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.
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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.
To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.
Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.
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i really really need this answer PLSSSSSSSSS
Answer: x=112
Step-by-step explanation: If you add 35 and 33 you would get 68 and if you subtract 68 from 180 you will get 112. I hope this helps!
Answer:
- brainliest
Step-by-step explanation:
What is the sum?
3 4
х
+
3x+4
7
X
3x+4
7
x +
Answer:6 6/13
Step-by-step explanation:
Multiply both sides of the equation by
4
.
3
x
=
7
⋅
(
4
)
−
x
3
⋅
4
Simplify each term.
Tap for more steps...
3
x
=
28
−
4
x
3
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
13
x
3
=
28
Multiply both sides of the equation by
3
13
.
3
13
⋅
13
x
3
=
3
13
⋅
28
Simplify both sides of the equation.
Tap for more steps...
x
=
84
13
The result can be shown in multiple forms.
Exact Form:
x
=
84
13
Decimal Form:
x
=
6.
¯¯¯¯¯¯¯¯¯¯¯¯
461538
Mixed Number Form:
x
=
6
6
13
Answer:
3x + 4
x square
Step-by-step explanation:
this because the LCM is x square
x will enter x square once then multiply x by 3 that is 3x and x square will enter x square once so it will be 1 × 4 =4
There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.
You will discover through this project whether a human's arm span (measured across the body with the arms extended) is correlated to his height.
You will need to collect data from 11 people, which will give you 12 data points including your own personal data. You will turn in and answer questions regarding only one scatter plot if doing the project alone. You may use the sample data provided in Part One if you do not have 11 people to measure.
Part One: Measurements
Measure your own height and arm span (from finger-tip to finger-tip) in inches. You will likely need some help from a parent, guardian, or sibling to get accurate measurements. Record your measurements on the "Data Record" document. Use the "Data Record" to help you complete Part Two of this project.
Measure 11 additional people, and record their arm spans and heights in inches. You may use the sample data provided in the table if you do not have 11 people to measure.
Arm Span (inches) Height (inches)
58 60
49 47
51 55
19 25
37 39
44 45
47 49
36 35
41 40
46 50
58 61
Part Two: Representation of Data with Plots
Using graphing software of your choice, use a scatter plot of your data. Predict the line of best fit, and sketch it on your graph.
Copy and paste your scatter plot into a word processing document.
Part Three: The Line of Best Fit
Include your scatter plot and the answers to the following questions in your word processing document:
Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
Write the equation of the line of best fit using the slope-intercept form of the line y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
Test the residuals of two other points to determine how well the line of best fit models the data.
Use the line of best fit to help you to describe the data correlation.
Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
According to your line of best fit, what is the arm span of a 74-inch-tall person?
05.06 Scatter Plots and Line of Best Fit—Option 1 Rubric
Requirements Possible Points Student Points
Student creates a scatter plot correctly according to submitted data. 3
Student shows that the line of best fit goes through the center of the data. 2
Student answers Question 1 correctly by determining which variable should be on which axis. 2
Student answers Question 2 correctly, presenting a reasonable equation for the line of best fit given the data. 3
Student answers Questions 3 through 7 correctly based on the data provided (2 points each). 10
Step-by-step explanation:
I'm sorry! Although, I cannot perform the physical measurements required for this project, I can provide some guidance on how to approach the project.
Part One of the project involves measuring the heights and arm spans of 11 people, in addition to your own measurements. If you do not have access to 11 people to measure, you can use the sample data provided in the table.
Part Two of the project involves creating a scatter plot of the data using graphing software of your choice. You should also predict the line of best fit and sketch it on your graph.
Part Three of the project involves analyzing the scatter plot and the line of best fit. You will need to determine which variable should be plotted on the x-axis and which should be plotted on the y-axis. You should also write the equation of the line of best fit using the slope-intercept form of the line y = mx + b and explain what the slope and y-intercept represent within the context of your graph.
Additionally, you will need to test the residuals of two other points to determine how well the line of best fit models the data, use the line of best fit to describe the data correlation, and use the line of best fit to approximate the height of a person with a given arm span and vice versa.
Make sure to follow the rubric provided and include your scatter plot and answers to the questions in a word processing document.
What is the exponential regression equation to best fit the data where the y values were rounded to the nearest integer.
Question 9 options:
y=3(1. 05)^x
y=2. 1(2. 05)^x
y=2. 17(2. 96)^x
y=2(2. 95)^x
Answer: y=2.17(2.96)
Step-by-step explanation: i took the test
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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Plz help me ?????? Simplify: -√-625
Answer:
I got −25i
Step-by-step explanation:
1. "Six less than twice a murider."
A. 6 - 2x
B. 2x - 6
C. 6x-2
D. 2 - 6x
2. "Five times the sum of a number and four."
A. 5y + 4
B. 4(y + 5)
C. 5 + 4y
D. 5(y + 4)
3. Which is the correct translation of the given 2(m - 3)?
A. Twice difference of 3 and miste C. Twice the difference of m and 3.
6. Twice the sum of m and 3.6
D. Twice the sum of m and 3.
4. "Ten less than thrice the a number"
A. 10 - 3b
B. 3b - 10
C. 106 - 3
D. 3 - 10b
5. Given, m - 4, complete this: 4
A. minus
B. diminished by
a number
C. subtracted from
D. decreased by
6." The ratio of 7 and a number decreased by 2."
A. 7/(x-2)
B. (71x) - 2
C. 7X-2
D. 7 - 2/x
7. "The difference of 10 and k divided by 4 yields to 2."
A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2
D.K-10/4 = 2
8. "Four times the sum of 12 and y is equal to 60.
A. 4y + 12 = 60 B. 4 + 12y
C. 4(12) + y = 60 D. 4(12 + y) = 60
9. All of the following are correct except
2x + 4; Twice a pumber
A. increased by B. added to
C. plus
D. more than
= 60
10. "8 times a number decreased by 13 becomes 3."
A. 8x + 13 = 3 B. 86- 13 = 3
C. 13 - 8x = 3
D. 13 + 8x = 3
branleast kpo ang sasagot neto
Step-by-step explanation:
625
For each of the following situations, decide what sampling method you would use. Provide an explanation of why you selected a particular method of sampling.
a. The major state university in the state is attempting to lobby the state legislature for a bill that would allow the university to charge a higher tuition rate than the other universities in the state. To provide a justification, the university plans to conduct a mail survey of its alumni to collect information concerning their current employment status. The university grants a wide variety of different degrees and wants to make sure that information is obtained about graduates from each of the degree types. A 5% sample of alumni is considered sufficient.
b. The Environmental Protection Agency (EPA) is required to inspect landfills in the United States for the presence of certain types of toxic material. The materials were sealed in containers and placed in the landfills. The exact location of the containers is no longer known. The EPA wants to inspect a sample of 1000 containers from the 40,000 containers know to be in the landfills to determine if leakage from the containers has occurred.
a. The sampling method that I would use for the given scenario is stratified random sampling.
b. The sampling method that I would use for the given scenario is systematic sampling.
Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.
In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.
Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.
EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.
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Solve for x. 10 + x ÷ 3 = 13
THE ANSWER IS NOT 1
Answer:
x=9
Step-by-step explanation:
10+x/3=13
(given)
x/3=3
(subtract 3 on both sides)
x=9
(multiply 3 on both sides)
Answer:
Subtract 10 both sides to get x/3 = 3
Then Multiply 3 to both sides,
x = 9
Just use the Order of Operations