Answer:
no solution
Step-by-step explanation:
it is commonly believed that average body temperature for humans is 98.6 degrees f. a study was done in which a group of healthy adults had their temperature measured 1 to 4 times daily for 3 days. this resulted in 175 temperature measurements. the sample mean temperature was 98.2 degrees f, with a sample standard deviation of 0.7 degrees f. construct a 95% confidence interval for the mean body temperature of humans. show all work. round the margin of error and interval bounds to 2 decimal places.
The 95% confidence interval estimate of the population mean is 98.10< μ < 98.30.
Given that
sample mean = ~x = 95.2
sample standard deviation = s = 0.7
sample size = n = 175
Degrees of freedom = d.f = n - 1 = 175 - 1 = 174
αt /2,d.f = 1.974.
The explanation for step 1
At 95% confidence level
α= 1-0.95% =1-0.95 =0.05
α /2=0.05/ 2= 0.025
αt /2,d.f = t0.025,174 = 1.974
αt /2,d.f = 1.974
The explanation of Step 2
Margin of error = E = t/2,df x (s /Vn ) = 1.974 x ( 0.7/ V175) = 0.10
Margin of error = E = 0.10
The 95% confidence interval estimate of the population mean is,
~x- E < μ < ~x + E
98.2 - 0.10< μ < 98.2 + 0.10
98.10< μ < 98.30
Margin of error = E = 0.10
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the area of a square flowerbed is 1.21 square yards. what is the length of each side? write your answer as a decimal if necessary.
The length of each side of the given square is 3.306 yards.
What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles.
It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.
In geometry, a square is a flat shape with four equal sides and four right angles (90°).
A square is a unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).
So, we have the area of the square as:
1.21 yards²
Area formula of square: A = s²
Now, calculate to find the length of the square as follows:
A = s²
1.21 = s²
s = 4/1.21
s = 3.306
Therefore, the length of each side of the given square is 3.306 yards.
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evaluate the double integral y^2/(x^2 y^2) where is the region that lies between the circles and by changing to polar coordinates.
The value of the double integral ∫∫[tex]\frac{y^{2} }{x^{2} +y^{2} }[/tex] dA is 131.95.
We know that in polar coordinates, the circle become r = 4 and r = 16. These are the limits on the radius. Clearly the limits on the angle are
0 ≤ θ ≤ 2π.
Therefore we get,
∫∫ [tex]\frac{y^{2} }{x^{2} + y^{2} }[/tex] dA = ∫ ∫ r²sin²θ / r² dr dθ
= ∫ sin²θ dθ ∫ r dr
= [ [tex]\frac{1}{2}[/tex]θ - [tex]\frac{1}{4}[/tex]sin(2θ)]₀²ⁿ[ [tex]\frac{1}{2}[/tex] r²]₄¹⁰
= [tex]\frac{1}{4}[/tex] (2π)(10² - 4²)
= 42π
∫∫ [tex]\frac{y^{2} }{x^{2} + y^{2} }[/tex] dA = 131.95.
What is Polar coordinates?
When each point on a plane of a two-dimensional coordinate system is decided by a distance from a reference point and an angle is taken from a reference direction, it is known as the polar coordinate system.
Polar coordinates are useful in calculating the equations of motion from a lot of mechanical systems. Polar coordinate means the magnitude and direction of a vector.
Polar coordinate system of locating points in a plane with reference to a fixed point O and a ray from the origin usually chosen to be the positive x-axis.
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Given the figure below, find the values of x and z. (5x − 1) (7x+1)=
please help!!!
will give brainlest answer
Answer:
[tex]x = 15 $^{\circ}$ ; z = 74$^{\circ}$[/tex]
Step-by-step explanation:
First, combine all like terms. Like terms are terms that have the same amount of the same variables:
[tex]m$\angle$(5x - 1) + m$\angle$(7x + 1) = 180$^{\circ}$\\\\[/tex]
[tex]m$\angle$(5x + 7x) + (1 - 1) = 180$^{\circ}$[/tex]
[tex]12x + 0 = 180$^{\circ}$[/tex]
Next, isolate the variable, x. Divide 12 from both sides of the equation:
[tex]12x = 180\\\frac{12x}{12} = \frac{180}{12}\\ x = \frac{180}{12}\\ x = 15 $^{\circ}$[/tex]
Next, plug in 15 for x in one of the given expressions. If you choose the right one (7x + 1), you will solve using the straight angle theorem. If you choose the bottom one (5x - 1), you will solve using the vertical angle postulate. Both will give you the same answer for x.
Firstly, if you want to solve using the straight angle theorem. The straight angle theorem is defined that all straight angles are 180 degrees. Solve using the straight angle theorem. Set both angle measurements equal to 180°:
[tex](z) + (7x + 1) = 180[/tex]
Plug in 15 for x and solve for the parenthesis:
[tex]z + 7(15) + 1 = 180 $^{\circ}$\\[/tex]
First, multiply 7 with 15:
[tex]z + (7 * 15) + 1 = 180 $^{\circ}$\\z +105 + 1 = 180$^{\circ}$\\[/tex]
Next, simplify by combining like terms:
[tex]z + (105 + 1) = 180 $^{\circ}$\\z + 106 = 180$^{\circ}$[/tex]
Next, isolate the variable, z, by subtracting 106 from both sides of the equation:
[tex]z + 106 = 180 $^{\circ}$\\z + 106 (-106) = 180 (-106)\\z = 180 - 106\\z = 74$^{\circ}$[/tex]
Your answer:
[tex]x = 15 $^{\circ}$ ; z = 74$^{\circ}$[/tex]
~
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According to the Central Limit Theorem, the mean of the sampling distribution of means - \mu_{\overline{X}}μX‾ - will equal...
- the mean of the original population divided the square root of n.
- Cannot be predicted without additional information.
- the mean of the original population.
- the mean of the original population divided by n-1.
According to the Central Limit Theorem, the mean of the sampling distribution of means will be equal to The mean of the Original Population.
Central Limit theorem:
The central limit theorem (CLT) is a statistical concept that states that the sample mean distribution of a random variable assumes an approximately normal or normal distribution when the sample size is large enough. Simply put, the theorem states that the mean sampling distribution approaches a normal distribution as the sample size increases, regardless of the shape of the original population distribution.
For example:
An investor wants to estimate the return on the ABC stock market index, which consists of 100,000 shares. Due to the large size of the index, the investor cannot analyze each stock individually and instead chooses to use a random his sample to obtain an estimate of the index's total his return. Investors select a sample of stocks. Each sample contains at least 30 strains. Samples should be random and previously selected samples should be replaced by subsequent samples to avoid bias.
If the average return of the first sample was 7.5%, the average return of the next sample could be 7.8%. Due to the nature of random sampling, each sample will produce different results. As you increase the sample size for each selected sample, the sample means begin to form their own distribution.
The distribution of the sample mean approaches a normal distribution as the value of n increases. The average return of the index example stocks estimates the return of the entire index of 100,000 shares, and the average returns follow a normal distribution.
According to the central limit theorem, if a large sample is chosen from an unknown population with mean μ and standard deviation σ, the sampling distribution of the sample mean follows a normal distribution.
The mean and standard deviation of this sampling distribution are:
μₐ = μ
σₐ = σ/√n
This standard deviation of the sampling distribution of the mean is called the standard error.
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“Let me give so much time to the improvement of myself that I shall have no time to criticize others.” what do you think about this one small paragraph please
Answer: I believe that this statement is very true. People shouldn’t be pushing others down when instead they could be pushing themselves up, improving them to be better.
Step-by-step explanation:
Answer:
THAT VERY RIGHT INSTEAD OF PEOPLE HELPING THEMSELVES THEY SPEND THEIR TIME CRITICIZING OTHERS KUDO TO U
In the United States, the common paper size is called letter size and measures 8. 5 by 11 inches. Let
V(x)= (8. 5-2x)(11-2x) (x) be the volume in cubic inches of a box made from a letter size paper
by cutting out squares of side length x in inches from each corner and then folding up the sides.
What is a reasonable domain for V in this context? Explain or show your reasoning.
PLs help
Answer:
0 < x < 4.5
Step-by-step explanation:
You want the reasonable domain of V(x) = (8.5 -2x)(11 -2x).
Reasonable domainThe equation describes volume (V) and cut length (x), so both need to be positive. Volume will be positive when ...
8.5 -2x > 0
4.25 > x
The reasonable domain is 0 < x < 4.5.
It is due jan 30th pls help
Answer:
slope of original line; m = -3/-4
=3/4
slope of parallel line = 3/4
slope of perpendicular line = m1*m2=-1
=(3/4)*m2=-1
=-4/3
equation passes through point (4,-3) is : 3x + 4y = -12
1. What is the value of x?
2. Determine mzYJO.
(x-40)
(X-80)
Answer:
The value of x should be x = 40.
Step-by-step explanation:
if the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? justify your answer mathematically. (5 points) part b: if the school district wants to award the school with the highest average attendance, which school should it choose and why? justify your answer mathematically.
The best attendance is at School W, according to a The highest average attendance is at School W, according to b.
Explained step-by-stepAccording to a, the school with the least amount of volatility in its data will be the most reliable.
It's only the least inconsistent among its own data; consistent doesn't necessarily indicate the best. Because variance indicates how dispersed the data is, the school with the lowest variance is the most reliable.
For an explanation of how each school's deviations were determined, see photo 1.
Take each school's mean as b. Whichever is higher in value is the school with the highest average.
For the computations of the means for each school, see photo 1. (Since the mean is used to determine variance, we will start with this step.)
Why enroll at a secondary institution?These are the justifications for our secondary school selection. Our top consideration while selecting a secondary school is: A Journey Like when we looked at elementary schools, I want my kids to attend a secondary school that they can walk to. Due to this factor, we are left with only two institutions to choose from when ranking schools on the application form.
What motivates your desire to select a college or university?You might not have much work experience for interviewers to talk about as a recent graduate or candidate for an entry-level employment. Similar insights into your career aspirations and personal interests can be gained from selecting a college or university.
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Select all the statements that are true for the graph shown. Submarines descent graph of a diagonal line on a coordinate plane going down and to the right with Time in seconds on the x-axis and Height above Sea Level in feet on the y-axis. The line begins at the origin and passes through point 4 comma negative 12.
The relationship is proportional.
The rate of change is −32
The rate of change is −83
The relationship is linear.
The correct option for the graph shown are-
The relationship is proportional.The relationship is linear.Explain the term proportional relation?Relationships across two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, each variable is consistently equal to the other's constant value.The question's line traverses the origin and (4,-12).
The line's rate of change is;
m = -12 - 0 / 4 - 0
m = -3
The slope of the line or its rate of change is -3.
The line's equation is provided by;
y - 0 = -3(x - 0)
y = -3x
This relationship is linear as a result.
The relationship is proportionate if we take any value of x because there will only ever be one value of y.
Therefore, the following claims are accurate:
The relationship is proportional.The relationship is linear.To know more about the proportional relation, here
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Write an algebraic expression for: 9 less than the quotient of z and 8.
The algebraic expression for "9 less than the quotient of z and 8" exists 9 - z / 8.
What is meant by algebraic expression?Using variables, constants, and algebraic operations, an expression can be described as an algebraic expression in mathematics (addition, subtraction, etc.). Terms are used to construct expressions.
Similar to this, when we describe an algebraic expression in English and it has a variable, we are doing so (an expression with a variable).
A mathematical expression made composed of integer constants, variables, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).
Let the given expression be "9 less than the quotient of z and 8".
simplifying the expression, we get
= 9 - z / 8
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Please help, giving thanks and brainliest:) (Please give an explanation if possible and please dont give a fake answer)
Answer: h = 92
Step-by-step explanation:
148 - 180 = 32
32 + 56 = 88
88 - 180 = 92
Which of the following statements about listening is true? • a. Effective listening is vital to success in selling. b. Visual aids play no part in the listening process. c. People can talk approximately twice as fast as they can listen. d. You should listen closely to everything you hear. e. Listening refers to the process of trying to detect sounds.
All of the following statements are true:
a. Effective listening is vital to success in selling.
b. visual aids play a part in the listening process.
c. people can talk approximately twice as fast as they can listen.
d. you should listen closely to everything you hear.
e. listening refers to the process of trying to detect sounds.
Listening is the act of paying attention to sounds that are happening around you. It involves both hearing the sounds and interpreting what they mean. Good listening skills are important for many reasons, including being able to communicate effectively with others and understand instructions. To listen effectively, you need to be able to focus on the speaker and try to understand their perspective, rather than just waiting for your turn to talk.
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Find the points on the graph of the function that are closest to the given point.
f(x) = x2, (0,9)
(x,y) smaller value
(x,y) larger value
The locations on the function's graph that are most near the specified point f(x) = x2, (0,9) are approximately 3 units to the right and left, respectively, or (sqr8.5, 8.5).
The initial estimate would be rough to the right and left by around 3 units, or (sqr8.5, 8.5), rounded to the nearest decimal place.
Visually, it is most likely just below y=9 and just below x=3. Additionally, roughly (-3, 9) slightly lower than 3 and 9
Connect the parabola's nearest point to the point at (0,9). Where the two intersect, its slope is the negative inverse of the parabola's slope. The derivative's slope is 2x for the equation f(x) = x2. -1/2x is its inverse negative. The line from (0,9) to the parabola's nearest point has a slope that is perpendicular to the tangent to the parabola at that location.
Get the equation of the line joining (0,9) and the nearest point (x,y) on the parabola using the point-slope formula: 8.5 or y=-1/2 + 9 = (-1/2x)(x)
The closest point's y coordinate is that. The square root of 8.5, including both positive and negative square roots, is the closest point's x coordinate (-sqr8.5, 8.5)
Sqr8.5 =[tex]\sqrt{8.5}[/tex], or approximately 2.91 or -2.91
The process entails finding the equation for the line connecting (0,9) with the parabola's nearest point and then setting the two equations equal. Set the line equation to y=(-1/2x), the parabola equation. The parabola equation is y=[tex]x^{2}[/tex] and the line equation is x + 9.
Equalize them, then find x using the square of the result. The closest point is at x,y. There are two places that are equally far from (0,9), both of which are as close as they can be to 3 at (3,9). (0,9). At the parabola point, that line is not perpendicular to the tangent line (3,9). The line must be perpendicular to the tangent line, which is the slope of the parabola, in order to be closest.
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A mathematical model was created and solved using linear programming. The optimal values were determined: x1 = 10 and x2 = 10. If one of the constraints is: 4x1 + 2x2 >= 55, you can conclude that:
A.this is a binding constraint, so there is no slack or surplus
B.there are 15 units of surplus
C.there are 15 units of slack
D.there are 5 units of slack
E.there are 5 units of surplus
In mathematics, linear programming is a technique for maximizing operations under certain restrictions.
Why does a mathematical model of a linear programming problem is important?Using the mathematical modeling technique of linear programming, a linear function is maximized or minimized depending on the restrictions it is subjected to. This method has proved helpful for directing quantitative judgments in business planning, industrial engineering, and—to a lesser extent—in the social and physical sciences.
In mathematics, linear programming is a technique for maximizing operations under certain restrictions. Maximizing or minimizing the numerical value is the primary goal of linear programming. It comprises of linear functions that are subject to restrictions in the form of inequalities or linear equations.
Therefore, the correct answer is option A. this is a binding constraint, so there is no slack or surplus.
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calculate a 99% confidence interval for the difference in the proportions of those older than 30 and those 30 or younger that believe alcoholic beverage commercials targeted teenagers and young adults. let the 30 or younger age group be population 1 and let the older than 30 age group be population 2. write your answer using interval notation and round the interval endpoints to three decimal places.
As per the given confidence interval, the interval notation is 2.576
Confidence interval:
Is statistics, an estimate of an interval in statistics that may contain a population parameter is known as confidence interval.
Given,
Here we have to calculate a 99% confidence interval for the difference in the proportions of those older than 30 and those 30 or younger that believe alcoholic beverage commercials targeted teenagers and young adults. let the 30 or younger age group be population 1 and let the older than 30 age group be population.
And we need to find the write your answer using interval notation and round the interval endpoints to three decimal places.
While we looking into the given question,
We have identified the following things,
Confidence interval = 99%
When we convert this into decimal, then we get the value as 0.99
Then the z score of the given data is calculated as
=> 2.576
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What are biconditional statements math?
A biconditional statement is a statement that may be stated in the form “p if and only if q.” This implies “if p, then q” and “if q, then p.”
What are biconditional statements?
A biconditional statement is one that can be expressed as "p if and only if q," which implies "if p, then q" and "if q, then p."
For example, "If the polygon is a square, then it has four equal sides and four right angles," and "If a polygon has four equal sides and four right angles, then it is a square," are two examples of biconditional statements.
A biconditional statement is a combination of a conditional statement and its converse written in the if and only if form.
Two line segments are congruent if and only if they are of the same length.
Therefore, the biconditional statement is a statement that may be stated in the form “p if and only if q.” This implies “if p, then q” and “if q, then p.”
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A 16 foot long ladder is placed against a 12 foot high wall reaching the top exactly How far away from the base of the wall is the bottom of the ladder?
From the base of the wall, the bottom of the ladder is 10.6 feet away
How to find the the distance of the ladderinformation given in the question
hypotenuse = 16 foot long ladder
opposite = 12 foot high wall
adjacent = How far away from the base of the wall is the bottom of the ladder = ?
The problem is solved using the Pythagoras theorem is applicable to right angle triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
16² = 12² + x²
256 = 144 + x²
256 - 144 = x²
x² = 112
x = √112
x = 10.583
the ladder is 10.6 feet away from the base of the wall
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Challenge in the first week of July, a record 1,120 people went to the local swimming pool. In the second week, 100 fewer people went to the pool than in the first week. In the third week, 130 more
people went to the pool than in the second week. In the fourth week, 254 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool
over these four weeks?
The percent decrease of people who went to the pool is%
C
Answer:
20%
Step-by-step explanation:
You want to know the percentage change from 1120 to a final number that is 100 less, 130 more, and 254 less.
Percentage changeThe percentage change is given by ...
percent change = change/(original amount) × 100%
Here, the total amount of change is the sum of the given changes:
-100 +130 -254 = -224
Then the percentage change is ...
-224/1120 × 100% = -20%
The percent decrease is 20%.
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Graph the image of the given triangle after the transformation with the rule (x, y)→(−x, y).
Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
Polygon with coordinates: (3, 4), (4, 7), (8, 2), (3, 4).
The given triangle is been reflected according to rule (x, y)→(−x, y) and the new coordinates are (-8, 2), (-3, 4), (-2, 7).
What is reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image).
We can picture what would happen if you turned the form across the line to graph a reflection.
So, we have a triangle with coordinates:
(8, 2), (3, 4), (2, 7)
Now, we will reflect it according to the rule:
(x, y)→(−x, y)
Then, the coordinates will be:
(-8, 2), (-3, 4), (-2, 7)
(Refer to the graph attached below)
Therefore, the given triangle is been reflected according to rule (x, y)→(−x, y) and the new coordinates are (-8, 2), (-3, 4), (-2, 7).
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suppose that from previous evidence, anthropologists had believed that for each 1 mm increase in chord length, cranial capacity would be expected to increase by 20 cm3. do the data given here strongly contradict prior belief? use a 0.05 level of significance.
The data does contradict with the prior evidence
To determine whether the data presented here are significantly inconsistent with previous assumptions, a statistical test was performed to verify that the observed relationship between tendon length and cranial volume was significantly greater than the expected relationship. You have to decide if they are different.
To do this, fit a line to the data using linear regression analysis and test the hypothesis that the slope of the line is equal to 20 cm3/mm. If the p-value for this hypothesis test is less than 0.05, you can conclude that the data are inconsistent with previous assumptions at the 0.05 significance level.
It is crucial to realize that this analysis assumes that the relationship between tendon length and cranial volume is linear.
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The figure shows two lines cut by a transversal. What value of x shows that the lines are parallel? Show your work.
Answer:
5x + 10× - 30= 180 degree
15x =150
x= 10
Katherine is working two summer jobs, lifeguarding and walking dogs. She can work
no more than 14 hours altogether between both jobs in a given week. Write an
inequality that would represent the possible values for the number of hours
lifeguarding, I, and the number of hours walking dogs, d, that Katherine can work in
a given week.
Answer: l +d ≤ 14
Step-by-step explanation:
Jeff is shooting a basketball during team practice. He made 15 shots, which is 25% of the total number of shots he took. How many total shots did Jeff take?
Answer:
60?
Step-by-step explanation:
15/0.25
Answer:
Jeff took 60 total shots.
6/9 = t/1.5
HELP PLS!!!!
Answer: T = 1
Step-by-step explanation:
As 6/9 is equivalent to 2/3, then 1/1.5 is similar to 10/15, which is also 2/3
Answer:
t = 1
Step-by-step explanation:
Given equation,
→ (6/9) = (t/1.5)
Now the value of t will be,
→ (6/9) = (t/1.5)
→ (t/1.5) = (6/9)
→ t = (6/9) × 1.5
→ t = (6 × 1.5)/9
→ t = 9/9
→ [ t = 1 ]
Hence, the value of t is 1.
I need help in this question!!
Step-by-step explanation:
Bro it is just 180- 41 - 93
you do the calculation
1. Find the equation of the straight line that passes through the points (0, -1) and (-1,0).
2. For this problem, please use the point-gradient form of the equation that passes through
the points (2, -4) and has gradient/slope 3.
3. Find the equation of the straight line that is parallel to the line y = x-2 and goes through
the point (0,1). Use Desmos Graphing Calculator to check your answer.
1. The equation of the straight line is y = -x -1.
2. The equation of the point-gradient form is 3x -y - 10.
3. The equation of the straight line that is parallel to the line y = x-2 and goes through the point (0,1) is y = x + 1.
What is a straight line?
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. In daily language, a line segment with two points designating its endpoints is also referred to as a "line."
Here, we have
1. The slope-intercept form of the equation of a line is:
y = mx + b
We are fortunate to be given the y-intercept, the point(0,-1) therefore, the value, b, in the slope-intercept form is -1:
y = mx - 1
Substitute the other point(-1,0) into the equation and then solve for the value of m:
0 = -m - 1
m = -1
y = -x -1
Hence, the equation of the straight line is y = -x -1.
2. We know that the equation of a line passing through the point (x₀, y₀ ) whose slope is m is (y - y₀) = m(x -x₀)
The equation of a line passing through the point(2,-4) and the slope is 3.
(y+4) = 3(x-2)
y + 4 = 3x - 6
3x -y - 10
Hence, the equation of the point-gradient form is 3x -y - 10.
3. Consider the given equation: y = x-2
Since, the line is parallel to given line. so slope will be same.
slope = 1
We know that the second line will also have a slope of 1, and we are given the point (0,1). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.
y = mx + b
1 = b
Now, we put the value of b in the equation and we get
y = x + 1
Hence, the equation of the straight line that is parallel to the line y = x-2 and goes through the point (0,1) is y = x + 1.
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5x-3(x-2)-x show your work
Answer: x+6
Step-by-step explanation:
5x-3(x-2)-x .......................... Question
5x-3x+6-x ........................... Distribute
1x+6 ..................................... Combine like terms
x+6 ...................................... Multiply by 1
Answer: x+6
Step-by-step explanation:
5x-3(x-2)-x
5x -3x +6 -x
x + 6
suppose that the population mean waist size is 85 cm and that the population standard deviation is 15 cm. how likely is it that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm? (round your answers to four decimal places.)
A random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm is 0.0749.
In the given question,
18-year-old American males stated that the sample mean waist circumference was 86.3 cm.
The populations mean waist size is 85 cm.
The population standard deviation is 15 cm.
We have to find, a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm.
H(0): μ = 85
H(A): μ > 85
Sample mean(X) = 86.3
Standard deviation(σ) = 15
Standard error of mean =σ/√n
Standard error of mean (SE) = 15/√277
SE = 15/16.6433
SE = 0.9013
z = (X- μ)/SE
z=(86.3-85)/0.9013
z = 1.4424
P(z > 1.4424) = 0.0749
To learn more about z test statistic link is here
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The right question is;
The National Health Statistics Reports dated Oct. 22, 2008 stated that for a sample size of 277. 18-year-old American males stated that the sample mean waist circumference was 86.3 cm.
Suppose that the population mean waist size is 85 cm and that the population standard deviation is 15 cm. how likely is it that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm? (Round your answers to four decimal places.)