complete the table of values when x+2y equals 7
Answer:
x=7-2y
Step-by-step explanation:
When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a
histogram
standard deviation distribution
percentile distribution
bar graph
scatter-plot or scatter-gram
When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a scatter-plot or scatter-gram.
What is scatter-plot or scatter-gram?Scatter-plot: A scatter-plot is a form of mathematical diagram or plot that employs Cartesian coordinates to illustrate distinct values associated to two variables for a specific set of data. It is also known as a scatter-gram, scatter-graph, scatter-chatter, or scatter-diagram.
It is being utilized to determine how one variable influences the other.
The supplied statement in the question above represents the scatter plot.
Here,
When you observe a graphed cluster of dots reflecting the values and relationship of two separate variables, you are looking at a scatter-plot or scatter-gram, which is a visual explanation of relatedness.
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Determine the critical value, zo. to test the claim about the population proportion p > 0.015 given n-150 and p A) 2.33 0.027. Used, 0.01. B) 1.645 C) 2.575 D) 1.96
The critical value (zo) for the given test is 2.33. So, option A) is correct.
A critical value is the value of the test statistic which defines the upper and lower bounds of a confidence interval or defines the threshold of statistical significance in a statistical test.
Critical value can be defined as a value that is useful in checking whether the null hypothesis can be rejected or not by comparing it with the test statistic.
Based on the information provided, we can use a one-tailed z-test with a level of significance (α) of 0.01.
The formula for the critical value (zo) is:
zo = zα
where zα is the z-score corresponding to the level of significance (α).
Using a standard normal distribution table or calculator, we can find that the z-score for α = 0.01 is 2.33.
Therefore, the critical value (zo) for this test is 2.33.
Thus, option A) is correct.
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Simplify the radical expression.
−4√160
A: -4√80
B: -4√16
C: -16√10
D: √10
Show your work
Answer:
c
Step-by-step explanation:
160 = 16 * 10 = 4 * 4 * 2 * 5 = 2 * 2 * 2 * 2 * 2 *5
\(-4\sqrt{160} = -4\sqrt{2*2*2*2*2*5}\\\\= -4*2*2\sqrt{2*5}\\\\= -16\sqrt{10}\)
Answer:
i just need points
Step-by-step explanation:
What is the measure of angle x? Enter your answer in the box.
x=
Answer:
x = 48°
Step-by-step explanation:
42 + 90 + x = 180 (we can tell because it is a straight line and straight lines are supplementary, ie = 180)
Rearrange the equation so that x is on one side:
x = 180 - 90 - 42
Simplify
x = 48°
Answer:
68°
Step-by-step explanation:
x+42+90=180
x+132=180
x=180-132
x=68°
Hope it helps you ......
Units of Measure Word Problems
A crate of onions is 192 ounces heavier than a crate of green peppers. The total weight of both crates
is 64 pounds
How many pounds heavier was the crate of onions than the crate of green
peppers?
(x A
(x
X
X
x
x
B
4x
C
D
How many pounds does the crate of green peppers weigh?
A
B
C
18 pounds
<< D
15 pounds
12 pounds
11 pounds
38 pounds
28 pounds
52 pounds
26 pounds
Answer:
Step-by-step explanation 3x=x or 192/64
To solve this word problem, we can set up a system of equations to represent the weight of the crates of onions and green peppers. By finding the weight of the green pepper crate and then subtracting it from the weight of the onion crate, we can determine how many pounds heavier the onion crate is. In this case, the onion crate is 12 pounds heavier than the green pepper crate.
To find out how many pounds heavier the crate of onions is than the crate of green peppers, we need to set up a system of equations. Let's say the weight of the crate of green peppers is x pounds. Then the weight of the crate of onions would be x + 192 ounces. Since 1 pound is equal to 16 ounces, we can convert the weight of the onion crate to pounds by dividing it by 16, giving us x + 12.
The total weight of both crates is 64 pounds, so we can write the equation as x + (x + 12) = 64. Solving this equation, we get 2x + 12 = 64. Subtracting 12 from both sides, we have 2x = 52. Dividing by 2, we find x = 26. Therefore, the crate of green peppers weighs 26 pounds.
To find out how many pounds heavier the crate of onions is than the crate of green peppers, we subtract the weights, which is 26 pounds subtracted from 26 + 12 pounds. This gives us 26 + 12 - 26 = 12 pounds. The crate of onions is 12 pounds heavier than the crate of green peppers.
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25% of what number is 8?
Answer:
32
Step-by-step explanation:
25% of 32 is 8. 100% of 32 is 32, therefore 25 percent of 32 equals 8.
Please help guys!! This is my first time downloading this app :)
Answer:
\(u^{6}\)
Step-by-step explanation:
Using the rule of exponents
\(a^{m}\) × \(a^{n}\) ⇔ \(a^{(m+n)}\) , then
u³ × u³ = \(u^{(3+3)}\) = \(u^{6}\)
Answer: u^6
Step-by-step explaination:
u³×u³=u^6
-3 = k/12 help please
Answer:
-36 = k
Step-by-step explanation:
-3 = k/12
Multiply each side by 12
-3*12 = k/12 *12
-36 = k
Answer: k= -36
Step-by-step explanation:
\(-3=\frac{k}{12}\)
multiply both sides by 12
\(\frac{12k}{12}=12\left(-3\right)\)
12*(-3)=-36
\(\frac{12k}{12}=12\left(-3\right)\)
k=-36
Greg went for a bike ride. Starting at rest, Greg increased speed at a constant rate, then maintained a constant speed for a while before decreasing speed to climb a hill. Greg's speed increased riding down the hill. At the bottom of the hill, Greg rode at a constant speed for a while before slowing down and coming to a complete stop.
Which graph represents Greg's bike ride?
Answer: graph D
Step-by-step explanation:
starting at rest means speed is 0
constant acceleration is the part of the graph that slopes upward in a straight line
constant deceleration is the part of the graph that slopes downward in a straight line
constant speed is the part of the graph that is a straight horizontal line
The radius of a circle is 3 yards. What is the circle's area in terms of x?
A. 12 yards
B. 9x yards
C. 6x yards
D. 3x yards
Answer:
D is the answer 3x yards in terms of x
Determine whether the improper integral diverges or converges. Infinity integrate 0 e^-x cos(5x) dx Evaluate the integral if it converges.
The improper integral ∞∫\(0 e^{-x} cos(5x) dx\) converges.To evaluate the convergence of the integral, we need to use integration by parts. Let u = cos(5x) and \(dv = e^{-x} dx\), then du = -5sin(5x) dx and \(v = -e^{-x}\)
Using integration by parts, we get:
∫ \(e^{-x} cos(5x)dx\) = \(-e^{-x} cos(5x)/5+(1/5)\)∫\(e^{-x} sin(5x)dx\)
Using integration by parts again with u = sin(5x) and dv = e^-x dx, we get:
∫ \(-e^{-x} cos(5x)dx\) = \(-e^{-x} sin(5x) /5-(1/25)\)∫ \(e^{-x} cos(5x) dx\)
Substituting the above equation in the previous one, we get:
∫ \(e^{-x} cos(5x) dx\) = \(-e^{-x} cos(5x) /5-(1/25)e^{-x}sin(5x)-(1/25)\)∫ \(e^{-x} cos(5x) dx\)
Simplifying the equation, we get:
\((26/25)\)∫ \(e^{-x} cos(5x) dx\)=\(-e^{-x} cos(5x) /5-(1/25)e^{-x}sin(5x)\)
Therefore,
∫\(e^{-x} cos(5x) dx = 5/26\)\(e^{-x} cos(5x) - (1/26) e^{-x} sin(5x) + C\)
where C is the constant of integration.
To evaluate the convergence, we need to check the limit of the integral as x approaches infinity. Using the limit comparison test, we compare the integral with ∫\(e^{-x}\)dx, which is a convergent integral. Thus, the original integral also converges. Substituting the limits of integration, we get:
∞∫0\(e^{-x} cos(5x) dx\)= (-5/26)\(e^0\) cos(0) - (1/26)\(e^0\)sin(0) - (-5/26)e-∞ cos(5∞) - (1/26)e-∞ sin(5∞)
Simplifying the equation, we get: ∞∫0\(e^{-x} cos(5x) dx = 5/26\)
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Using money to systematically target those who may be vulnerable due to their low financial status can be considered coercion and it breaches which one of the following four ethical principles?
a. Beneficence b. Justice c. Respect for Autonomy d. Non-maleficence
Option B, Justice is one of four ethical concepts. The definition states that there must be fairness in all medical judgments.
Four ethical principles: autonomy, benevolence, harmlessness, and justice. Each of these principles serves a specific purpose, but all four work together to empower you as healthcare professionals and ensure that your patients receive high-quality, ethical care.
The literal concept of autonomy and the medical concept of autonomy diverge and intersect. Charity is an act of compassion or mercy. The activities of all healthcare workers should always be positive. Of the four principles of medical ethics, harmlessness is the most important.
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Tutorial Exercise Test the series for convergence or divergence. Σ(-1). 11n - 3 10n + 3 n1 Step 1 00 11n - 3 To decide whether (-1)" 11n - 3 converges, we must find lim 10n + 3 n10n + 3 n=1 The highest power of n in the fraction is Submit Skip you cannot come back
The limit is finite and non-zero, the series Σ((-1)^(11n - 3))/(10n + 3) is divergent by the nth term test.
To test the convergence or divergence of the series Σ((-1)^(11n - 3))/(10n + 3) from n = 1 to infinity, we need to find the limit of the expression (11n - 3)/(10n + 3) as n approaches infinity.
To determine the highest power of n in the fraction, we can observe the exponents of n in the numerator and denominator. In this case, the highest power of n is n^1.
Let's calculate the limit:
lim(n→∞) [(11n - 3)/(10n + 3)]
To find the limit, we can divide the numerator and denominator by n:
lim(n→∞) [(11 - 3/n)/(10 + 3/n)]
As n approaches infinity, the terms with 3/n become negligible, and we are left with:
lim(n→∞) [11/10]
The limit evaluates to 11/10, which is a finite value.
Since the limit is finite and non-zero, the series Σ((-1)^(11n - 3))/(10n + 3) is divergent by the nth term test.
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Scott is ordering 6 bags of cat food from canada. each bag has a mass of . to determine the shipping costs, scott needs to know the total weight in pounds. what is the weight of the cat food in pounds? use and do not round any computations.
The weight of the cat food in pounds is 99 lbs.
What is a pound?The pound, sometimes known as pound-mass, is a unit of mass that is used in both the British imperial and American customary measurement systems.
How do we convert kg to pounds?You multiply a weight by the conversion factor 2.2046 to change a mass measurement from kilograms (kg) to pounds (lbs).
Given that,
Mass of each bag = 7.5 Kg.
Number of bags bought = 6
Firstly, we need to find how much the cat food weighs:
Total weight of cat food = 6 × 7.5
Total weight of cat food = 45kg
Next, we will require to convert the kg into pounds:
1kg = 2.2lb
45 kg = 45* 2.2
45 kg = 99 lbs
Therefore, the weight of the cat food in pounds id 99lbs.
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Triangles LMN and RWN are similar right triangles. What is the length of WR?
Round your answer to the nearest tenth.
14.4
Step-by-step explanation:
6/10 = x/24
72 = 5x
x = 14.4
i got the answer -2p^7 q^7 i am not sure tho
Answer:
\(-\frac{p^5q^5}{2}\)
Step-by-step explanation:
\(-\frac{3}{2}p^2q^2\frac{1}{3}p^3q^3\)
\(=-\frac{3}{2}p^5q^2\frac{1}{3}q^3\)
\(=-\frac{3}{2}p^5q^5\frac{1}{3}\)
\(=-\frac{p^5q^5}{2}\)
A square floor has a side length of 7x^5y^6 units Square tile has a side length of x^2y units. how many tiles will it take to cover the floor
49x⁶y¹⁰ tiles are required to cover the floor;
Side length of the square floor = 7x⁵y⁶;
Side length of the square tile = x²y;
Area of the given floor is = (7x⁵y⁶)² sq units
= 7²x¹⁰y¹² sq units
= 49x¹⁰y¹² sq units.
Area of a tile is = (x²y)² sq units
= x⁴y² sq units.
Let no. of tiles required be 'n';
Area of square floor = (No. of square tiles) × (Area of 1 square tile);
49x¹⁰y¹² = n × x⁴y²;
n = 49x⁶y¹⁰;
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Fiona has a recipe for a pint of sweet iced tea that calls for 8 teaspoons of sugar and 2 teaspoons of lemon juice. The ratio of teaspoons of sugar to teaspoons of lemon juice is 8:2.What is the ratio of THREE pints of sweet iced tea?
Given:
The ratio of teaspoons of sugar to teaspoons of lemon juice of one pint of sweet iced tea is 8:2.
To find:
The ratio of THREE pints of sweet iced tea.
Solution:
For a pint of sweet iced tea that calls for 8 teaspoons of sugar and 2 teaspoons of lemon juice.
So, for three pints of sweeet iced tea,
Sugar = 3 × 8 = 24 teaspoons
Lemon juice = 3 × 2 = 6 teaspoons
Now,
\(Ratio=\dfrac{\text{Sugar}}{\text{Lemon juice}}\)
\(Ratio=\dfrac{24}{6}\)
Therefore, the ratio of teaspoons of sugar to teaspoons of lemon juice of three pint of sweet iced tea is 24:6.
Let R be the region bounded by the following curves. Find the volume of the solid generated by revolving the shaded region shown to the right about the x-axis. y=6 -3x, y = 0, and x = 0 AY Y6-3x The volume of the solid is cubic units. (Type an exact answer.)
Therefore, the volume of the solid generated by revolving the shaded region about the x-axis is (20π/3) cubic units.
To find the volume of the solid generated by revolving the shaded region about the x-axis, we can use the method of cylindrical shells.
The region bounded by the curves y = 6 - 3x, y = 0, and x = 0 forms a triangular region in the first quadrant. Let's find the limits of integration for x.
The line y = 0 intersects with the curve y = 6 - 3x at x = 2. Therefore, the limits of integration for x will be from x = 0 to x = 2.
Now, let's consider a vertical strip at a specific x-value within this region. The height of this strip is given by the difference between the curves y = 6 - 3x and y = 0, which is (6 - 3x) - 0 = 6 - 3x.
The width of the strip is dx.
The circumference of the shell is the distance traveled by revolving the strip around the x-axis, which is given by 2πx.
The volume of the shell is then given by the product of the circumference and the height, which is (2πx) * (6 - 3x) * dx.
Integrating this expression from x = 0 to x = 2 will give us the total volume of the solid:
V = ∫[0 to 2] (2πx) * (6 - 3x) dx.
Simplifying and evaluating the integral, we get:
V = 2π ∫[0 to 2] \((6x - 3x^2) dx.\)
V = 2π \([3x^2/2 - x^3/3]\) evaluated from 0 to 2.
V = 2π \([(3(2)^2/2 - (2)^3/3) - (3(0)^2/2 - (0)^3/3)]\)
V = 2π [(3(4)/2 - (8)/3) - 0].
V = 2π [(6 - 8/3)].
V = 2π [(18/3 - 8/3)].
V = 2π (10/3).
V = (20π/3) cubic units
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joe worked 8days for a total of 58.4hours. If he worked the same number of hours each day, how many hours did he work in a day?
Answer:
7.3 hours per day.
Step-by-step explanation:
Just do 58.4 divided by 8 and you get 7.3.
*Hope this helps*
the following data set represents the ages of all six grandchildren in a family. find the variance for this data set of ages: 6, 3, 14, 11, 14, 6 round the final answer to one decimal place.
this is a answer, thanks
The variance for this data set of ages is 18.0 (rounded to one decimal place). The variance for this data set can be found using the formula: Variance = (Σ(x - μ)²) / n
Where Σ represents the sum of, x represents the individual ages in the data set, μ represents the mean of the data set, and n represents the total number of ages.
To find the mean (μ), we first need to add up all the ages and divide by the total number of ages:
(6 + 3 + 14 + 11 + 14 + 6) / 6 = 54 / 6 = 9
So the mean age of the grandchildren is 9.
Next, we need to calculate the sum of each age minus the mean, squared:
(6 - 9)² + (3 - 9)² + (14 - 9)² + (11 - 9)² + (14 - 9)² + (6 - 9)² = 9 + 36 + 25 + 4 + 25 + 9 = 108
Finally, we divide this sum by the total number of ages (6) to get the variance:
Variance = 108 / 6 = 18
Rounding to one decimal place, the variance for this data set is 18.0.
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A fixed ratio schedule provides reinforcement for a response only if a fixed time period has elapsed. true or false?
False. A fixed ratio schedule provides reinforcement for a response after a fixed number of responses, not based on a fixed time period.
A fixed ratio schedule provides reinforcement for a response only after a fixed number of responses have been made, not after a fixed time period has elapsed. In contrast, a fixed interval schedule provides reinforcement for a response after a fixed time period has elapsed.
Planning examples include support after certain responses have been submitted. The term flat rate is calculated using a fixed response. For example, if the rabbit were to get stronger when the force was pulled exactly five times, it would get stronger in time FR 5.
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Select the correct answer.
If and , find .
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
f(x) - g(x)
= \(\sqrt{x}\) - x - (2x³ - \(\sqrt{x}\) - x) ← distribute parenthesis by - 1
= \(\sqrt{x}\) - x - 2x³ + \(\sqrt{x}\) + x ← collect like terms
= - 2x³ + 2\(\sqrt{x}\)
6
The endpoints of AB are -16 and -4. Find the coordinate of the point P that partitions the segment in
the ratio 2 : 1.
The coordinate of point P is
The coordinate of point P is -8.
We are given that the endpoints of AB are -16 and -4.
This means that A is at -16 and B is at -4
Therefore, the total length of the line AB will be-
-16 - (-4) = -12 units
But since length cannot be negative, we take only the absolute value, the length of AB comes out to be 12 units.
Now, point P divides AB in the ratio 2:1
The length of these two parts will be
12 × 2/3 and 12 x 1/3
= 8 units and 4 units
This means that AP = 8 units and PB = 4 units
Hence the coordinate of P will be (-16 + 8) or (-4 - 4)
Thus, the coordinate of point P is -8.
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What is the solution to this system of equations?
{x+y=6x=y+4
(1, 5)
begin ordered pair 1 comma 5 end ordered pair
(212, 112)
begin ordered pair 21 halves comma 11 halves end ordered pair
(5, 1)
begin ordered pair 5 comma 1 end ordered pair
(112, 12)
The solution to the given system of linear equations is x = 4, y = 20
System of linear equationsFrom the question, we are to determine solution to the given system of equations
The given system of equations is
x+y=6x=y+4
Thus, we can write that
x + y = 6x ----------- (1)
and
6x = y + 4 ------------(2)
Solve the two equations simultaneously
From equation (1)
x + y = 6x
y = 6x - x
y = 5x --------- (3)
Substitute into equation (2)
6x = y + 4
6x = 5x + 4
6x - 5x = 4
x = 4
Substitute the value of x into equation (3)
y = 5x
y = 5(4)
y = 20
Hence, the solution to the given system of linear equations is x = 4, y = 20
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Use the bisection method to find solutions accurate to within 10−2 for x 4 − 2x 3 − 4x 2 4x 4 = 0 on each interval.
(a) [−2, −1].
(b) [0, 2].
(c) [2, 3].
(d) [−1, 0].
The solution accurate to equation within \(10^{-2}\) for \(x^{4}-2x^{3} -4x^{2} +4x+4=0\) lies in [0,2].
Given the equation \(x^{4}-2x^{3} -4x^{2} +4x+4=0\) and range is \(10^{-2}\).
We are required to find the interval in which the solution lies.
The attached table shows the iterations. At each step, the interval containing the root is bisected and the function value at the mid point of the interval is found. The sign of its relative to the signs of the function values at the ends of the interval tell which half interval contains the root. The process is repeated until the interval width is less than \(10^{-2}\).
Interval:[0,2], signs [+,-],mid point:1, sign at midpoint +.
[1,2] 3/2
[1,3/2] 5/4
The rest is in the attachment. The listed table values are the successive interval mid points.
The final midpoint is 181/128=1.411406.
This solution is within 0.0002 of the actual root.
Hence the solution accurate to equation within \(10^{-2}\) for \(x^{4}-2x^{3} -4x^{2} +4x+4=0\) lies in [0,2].
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if the mean of 6 7 13 and 10 is 8 find the range
Answer:
hope this hlo u
Step-by-step explanation:
range =highest observation-lowest observation
range=10-6
=4
2x times -6x in multiplying polynomials
Answer:
- 1x2x3xX
Step-by-step explanation:
- 6x
One of the factors is - 1
If the coefficient is negative, one of its factors is - 1
⬇️
- 1x6x
Factor the monomial by writing the coefficient 6 as a product of prime numbers
⬇️
Solution
- 1x2x3xx
the procedure for revising probabilities based upon additional information is referred to as
The procedure for revising probabilities based on additional information is referred to as Bayesian updating
The procedure for revising probabilities based on additional information is referred to as Bayesian updating. Bayesian updating is a fundamental concept in Bayesian statistics, which allows for the incorporation of new evidence or data to update and refine prior beliefs or probabilities.
In Bayesian updating, the process begins with an initial prior probability, which represents the initial belief or knowledge about an event or hypothesis before any evidence is observed. As new evidence or data becomes available, it is used to update the prior probability and generate a posterior probability. The posterior probability represents the revised belief or probability after incorporating the new information.
Bayesian updating follows the principles of Bayes' theorem, which mathematically describes the relationship between prior probabilities, likelihoods, and posterior probabilities. It involves combining the prior probability with the likelihood of observing the data given the hypothesis and then normalizing the result to obtain the posterior probability.
The beauty of Bayesian updating is that it allows for a flexible and iterative process of continuously updating beliefs and probabilities as new information emerges. It provides a framework for incorporating both subjective prior beliefs and objective data to make more informed decisions and predictions. Bayesian updating has applications in various fields, including machine learning, decision-making, and scientific research.
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