Based on the low correlation value of 0.05, Bob concludes that the number of bedrooms in a home is not a strong predictor of its selling price.
The statistical method called correlation to measure the strength of the relationship between these two variables.
A correlation value of 0.05 indicates that there is a weak relationship between the number of bedrooms in a home and its selling price. In statistical terms, this means that the number of bedrooms in a home only explains 5% of the variation in the selling price.
A correlation value can range from -1 to 1.
A value of -1 indicates a perfect negative correlation, meaning that as the number of bedrooms in a home increases, the selling price decreases.
A value of 1 indicates a perfect positive correlation, meaning that as the number of bedrooms in a home increases, the selling price also increases.
A value of 0 indicates no correlation, meaning that there is no relationship between the number of bedrooms in a home and its selling price.
Other factors, such as location, square footage, and the overall condition of the home, likely play a larger role in determining the selling price.
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The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
a) Determine the proportion of flanges that exceeds 1.01 millimeters.
b) What thickness is exceeded by 90% of the flanges?c) Determine the mean and variance of flange thickness.
Mean = (millimeters)
variance = (millimeters2)
With the thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
a) 40% of the flanges exceeds 1.01 millimeters.
b) 1.04 millimeters is the thickness that is exceeded by 90% of the flanges.
c) The mean of flange thickness is 1 millimeters and the variance of flange thickness is 0.01 millimeters^2.
a) To determine the proportion of flanges that exceeds 1.01 millimeters, we need to find the area under the probability density function (pdf) of the thickness that is greater than 1.01 millimeters.
Let's call the random variable X representing the thickness of the flange. The pdf of X is uniform, so it has constant value over the interval [0.95, 1.05]. Therefore, the proportion of flanges that exceeds 1.01 millimeters can be found as follows:
P(X > 1.01) = (1.05 - 1.01) / (1.05 - 0.95) = (1.05 - 1.01) / 0.1 = 0.04 / 0.1 = 0.4
So, 40% of the flanges exceed 1.01 millimeters.
b) To find the thickness that is exceeded by 90% of the flanges, we need to solve for X in the following equation:
P(X > X) = 0.9
Substituting the values for the pdf, we get:
(X - 0.95) / (1.05 - 0.95) = 0.9
Solving for X, we get:
X = 0.95 + 0.9 * (1.05 - 0.95) = 0.95 + 0.9 * 0.1 = 0.95 + 0.09 = 1.04
So, 1.04 millimeters is the thickness that is exceeded by 90% of the flanges.
c) The mean of X can be calculated as follows:
Mean = (0.95 + 1.05) / 2 = 1
The variance of X can be calculated as follows:
Variance = (1.05 - 0.95)^2 / 12 = 0.01
So, the mean and variance of flange thickness are:
Mean = 1 millimeters
Variance = 0.01 millimeters^2
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9th grade math i need help in
The value of f(1) will be 45.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given a function f(n) = 45.(4/5)ⁿ⁻¹
To calculate the value of f(1) we will substitute the value of the n by 1.
f(1) = 45.(4/5)¹⁻¹
f(1) = 45.(4/5)⁰
f(1) = 45
To calculate the value of f(n -1) we will substitute the value of the n by
n - 1.
f(n -1) = 45.(4/5)ⁿ⁻¹⁻¹
that can also be written as, from the rule of power
f(n -1) = (45.(4/5)ⁿ⁻¹)/4/5
f(n -1) = (45.(4/5)ⁿ⁻¹) * 5/4
f(n -1) = f(n) * 5/4
so,
f(n) = f(n-1) * 4/5
Therefore, the value of f(1) will be 45, and the value of f(n) = f(n-11)*4/5.
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In the Reflecting Ball Game, a ball can be launched from points 1, 2, 3, 4, 5 or 6 in the direction shown. When a ball hits a side of rectangle $ABCD$, it bounces at a $90^{\circ}$ angle back into the playing field. The path of the ball ends when it hits corner point $A$, $B$, $C$, or $D$. The path for starting point 5 is shown in the diagram. Each of the $15$ non-overlapping squares of the playing field has an area of $2$ square centimeters. What is the length of the longest possible path for a ball launched from a starting point?
The maximum is 12 diagonals or a length of 12 × 2√2 =24√2 centimeters.
How to solveNote that the ball moves only on the diagonals of the 15 non-overlapping squares. Thus we must find the path that traverses the most diagonals.
From point 1, the path traverses 6 diagonals before ending up at D.
From point 2, the path traverses 12 diagonals before ending up at A (incidentally, it passes through point 5 in the specified direction so we do not need to check point 5).
From point 3, the path traverses 3 diagonals before ending up at B.
From point 4, the path traverses 9 diagonals before ending up at C.
From point 6, the path traverses 10 diagonals before ending up at D.
Thus the maximum is 12 diagonals, or a length of 12 × 2√2 =24√2 centimeters.
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Write the function in vertex form for this parabola focus=(3, 2.5)
The equation of parabola in vertex form is [tex]$$\boxed{x^2 - 6x + 9 = 0}$$[/tex]
How to find the equation of parabola?To write the equation of a parabola in vertex form, we use the following formula:
[tex]$$(x-h)^2=4p(y-k)$$[/tex]
where (h,k) is the vertex and p is the distance between the focus and the vertex.
Given that the focus of the parabola is at (3, 2.5), we can determine that the vertex of the parabola is also at (3, 2.5). Let's substitute these values into the formula:
[tex]$$(x-3)^2=4p(y-2.5)$$[/tex]
To find the value of p, we need to use the fact that the distance between the focus and vertex is p. The distance formula is:
[tex]$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$[/tex]
Substituting the values we know:
[tex]$$\begin{aligned} d &= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \ &= \sqrt{(3 - 3)^2 + (2.5 - 2.5)^2} \ &= 0 \end{aligned}$$[/tex]
Since d = 0, we know that p = 0 and the equation simplifies to:
[tex]$$(x-3)^2=0$$[/tex]
Expanding the left side:
[tex]$$x^2 - 6x + 9 = 0$$[/tex]
So the equation of the parabola in vertex form is:
[tex]$$\boxed{(x-3)^2=4 \cdot 0 (y-2.5)}$$[/tex]
Or
[tex]$$\boxed{x^2 - 6x + 9 = 0}$$[/tex]
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steve is standing on a porch of a shore house in malibu. the elevatioin of the porch is about 138 feet steve's eye level is 5 feet above the porch floor. if steve can see a band of surfers on the water at an angle of depression approximately 29 degrees how far are the surfers from his eyes?
geometry trig unit.
The distance is 295 feet from the surfers from his eyes.
What is geometry?Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons),
According to the given question, we have attached a figure which represents the given situation.
Let the distance would be x from the surfers from his eyes
As per the figure, using the sine ratio to find x:
sin 29° = perpendicular/hypotenuse
Substitute the known values and solve for x:
sin 29° = 143/x
0.4848 = 143/x
x = 294.96
x ≈ 295 feet
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Gino records how much milk his family drinks each week in February. He graphs the volumes, to the nearest one fourth of a gallon, on the line plot below. What is the total volume of milk Gino's family drank on the 2 weeks where they drank the most milk?
The total volume of milk would be 1/2 gallons.
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given that,
Volume = 1/4 gallons
The number of weeks = 2
So, the total volume =
1/4 × 2 = 1/2 gallons
Hence, the total volume of milk would be 1/2 gallons
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If a < b, what can you say about the locations of a and b on the number line?
There is not enough information given.
a is to the right of b.
a is to the left of b.
a and b are the same distance away from 0.
If a < b, we can say that b is to the right of a on the number line. In other words, a is to the left of b.
What exactly is the number line?A number line is a horizontal line with evenly spaced number increments. The numbers on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, such as plotting a point.
If a b, then b is to the right of a on the number line. To put it another way, an is to the left of b.
This is because the number line depicts the order of real numbers, with smaller numbers to the left and larger numbers to the right. Because an is less than b, it is a smaller number and must be to the left of b on the number line.
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jacinda divides 19 cookies into 5 equal piles, using as many cookies as possible, but has some left over, how many are left?
Answer: Jacinda has 4 cookies left over.
Step-by-step explanation:
If Jacinda divides 19 cookies into 5 equal piles using as many cookies as possible, but has some left over, we can use integer division to determine how many cookies are in each pile. Integer division divides two numbers and rounds down to the nearest integer. In this case, the number of cookies in each pile is:
19 cookies ÷ 5 piles = 3 with a remainder of 4
Answer: 4
Step-by-step explanation:
Based on the given conditions, formulate: 19-5
Calculate the sum or difference: 14
Convert 2 pints into milliliters. Round your answer to the nearest whole number.
Answer:
To convert 2 pints into milliliters, we need to use the conversion rate that 1 pint equals 473.176 milliliters.
Therefore, we can calculate that 2 pints is equal to 946.352 milliliters. Rounded to the nearest whole number, this would be 946 milliliters.
What is the y-intercept of y=-3-7xy=−3−7xy, equals, minus, 3, minus, 7, x?
Answer:
-3
Step-by-step explanation:
Suppose each of the apples weighs about 5 ounces. Can you buy 24 apples for $9? Explain
Yes You can buy 24 apples for $0.125 per pound. This price will not available except in festival or discounts sale.
what are ounces ?
An ounce is a unit of weight or mass commonly used in the United States and other countries. It is usually abbreviated as oz. One ounce is equal to 1/16th of a pound or approximately 28.35 grams. Ounces are often used to measure small quantities of food or ingredients in recipes, as well as for measuring the weight of small objects.
According to the question:
To determine whether you can buy 24 apples for $9, we need to find the cost per apple.
If 24 apples cost $9, then the cost per apple is:
$9 / 24 apples = $0.375 per apple
Since each apple weighs about 5 ounces, there are about 3 apples per pound:
16 ounces / 5 ounces per apple ≈ 3.2 apples per pound
Therefore, the cost per pound of apples is:
$0.375 per apple / 3 apples per pound = $0.125 per pound
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In a class of class of 50 students, the number of students who offer accounting is twice as the number who offer Economics 10 students offer neither of the two subjects and 5 students offer both subjects (1) How many offer Accounting and Economics. :.) How many offer only
one subject
The Venn diagram shows that the number of students who offer accounting is 30 and offer Accounting and Economics are only 5.
How to explain the Venn diagram?It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.
We are given that class of 50 students, the number of students who offer accounting is twice as the number who offer Economics 10 students offer neither of the two subjects and 5 students offer both subjects
The number of students who offer Economics are;
= 10 + 5
= 15
Since accounting is twice as the number who offer Economics.
The number of students who offer accounting are;
= 25 + 5
= 30
The number of students who offer only one subject will be as follows;
= 25 + 10
= 35
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Jeanne has a piece of fabric in the shape of a square. She wants to cut the fabric in the shape of a circle.
The approximate area of the remaining part of the fabric is given as 17.415 square feet
How to solve for the area of the remaining fabricTo get the solution, we have to solve for the area of the square shape and the area of the circle
The area of a square is given as A = a²
The area of a circle is given as πr²
We would have area of remaining fabric as
a² - πr²
The square has its sides as a = 9 cm
the circle has π = 3.14
we are to find the radius. But first we have to determine the diameter
The circle runs from one end of the square to the other end. This should be the diameter, because it is the length of the square as well
Diameter = 9 cm
radius = diameter / 2
= 9 / 2
= 4.5
When we put the values in the formula a² - πr² we would have
9² - 3.14 * 4.5²
81 - 3.14 * 20.25
81 - 63.585
= 17.415
The area of the remaining part after the circle is cut is 17.415 square feet
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Determine the intercepts of the line.
Do not round your answers.
3x + 2y = 5
Y=0
X=0
Answer:
Step-by-step explanation:
X axis intercept (y=0)
3x+2(0)=5
3x=5
x=5/3
Y axis intercept (x=0)
3(0)+2y=5
2y=5
y=5/2
so, the interception points are: (5/3,0) and (5/2,0)
Determine the slope and y-intercept of the line that passes through the points (14, -2) and (5,13)
Answer:
m = -5/3
Y-intercept: (0, 64/3)
Step-by-step explanation:
Slope = rise/run or (y2 - y1) / (x2 - x1)
Points (14, -2) and (5,13)
We see the y increase by 15 and the x decrease by 9, so the slope is
m = -15/9 = -5/3
The y-intercept is located at ( 0, 64/3)
Barbara buys a chandelier online for $612. If shipping and handling are an additional 28% of the price, how much shipping and handling will Barbara pay?
Barbara will therefore shell out $171.36 for the cost of shipping and handling.
Price is what word?The amount of money, or its equivalent, for which anything being offered for sale, purchased, or otherwise transacted. A price on someone's head is a sum provided for their capture, whether they are alive or dead.
We must calculate 28% of the chandelier's original purchase price in order to calculate the value Sarah will charge for shipping and handling.
Step 1
Calculate 28% of $612
We can multiply a value by 0.28 to get 28% of it, or reduce it by 100 & then multiply the result by 28. So:
28% of $612 = 0.28 x $612 = $171.36
Step 2
Add the cost of shipping and handling to the purchase price.
Simply include the shipping & handling fee to the original price to get the chandelier's total cost with shipping and handling included:
Total cost = $612 + $171.36 = $783.36
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The sum of a number times 2 and 29 is at least −25
Answer:
Step-by-step explanation:
Let's start by translating the given sentence into an equation:
2x + 29 ≥ -25
To solve for x, we can isolate x on one side of the inequality:
2x ≥ -25 - 29
2x ≥ -54
x ≥ -27
Therefore, the solution to the inequality is x ≥ -27.
What sorting algorithms are not comparison based?
The sorting algorithms that are not comparison based are counting sort, bucket sort, and radix sort.
Counting sort works by counting the number of occurrences of each element in an array and then using this information to determine the position of each element in the sorted array.
Bucket sort works by dividing the array into a number of smaller arrays, called buckets, and then sorting each of these smaller arrays separately.
Radix sort works by sorting the elements of an array based on the individual digits of each element, starting with the least significant digit and working up to the most significant digit.
These algorithms do not rely on comparisons between elements, which is why they are not considered comparison based.
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You have a sample of 35.2g of MgSO4. How many moles of MgSO4 are in the sample? Show all your work
Answer:
Step-by-step explanation:
The answer is 120.3676. i assume you are converting between grams MgSO4 and mole. You can view more details on each measurement unit: molecular weight of MgSO4
Easy Question
A researcher found that students who spent more time exercising each week also had higher average test scores. Describe the correlation, if any, between time spent exercising and test scores.
The correct answer is a) No you cannot, because the lower boundary of the confidence interval is .131, which is less than .30, and so the true correlation could be less than .30.
What is the correlation analysis?Correlation analysis allows us to examine the strength, direction, and nature of the relationship between two variables, and to determine whether or not there is a statistically significant association between them.
Based on the information given, there appears to be a positive correlation between time spent exercising and test scores. This means that as the time spent exercising increases, the test scores also tend to increase. However, we cannot determine the strength or causality of this correlation without additional information or analysis. It is possible that other factors could be influencing both variables or that there could be confounding variables affecting the relationship.
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Correct question:
Assume a researcher found that the correlation between a test she had developed and exam performance was .5 in a study of 25 students. She had previously been informed that correlations under .30 are considered unacceptable. The 95% confidence interval was [0.131, 0.747]. Can you be confident that the true correlation is at least 0.30?
No you cannot, because the lower boundary of the confidence interval is .131, which is less than .30, and so the true correlation could be less than .30.Yes you can, because the correlation coefficient is .5 (which is above .30) and falls within the boundaries of the confidence interval.No you cannot, because the sample size was too small. Yes you can, because the upper boundary of the confidence interval is above .30 we can be 95% confident that the true correlation will be above .30How to solve for r
100 000= 8000(1+ r/12000)^72
without using GDC
I don't understand how GDC works :(
I know the answer is 3.72% but I need to show how I got it
The solution for r in the equation is 428.43
How to determine the solution for rFrom the question, we have the following parameters that can be used in our computation:
100000 = 8000(1+ r/12000)^72
Divide through by 8000
So, we have
12.5 = (1+ r/12000)^72
Take the 72th root of both sides
So, we have
1 + r/12000 = 1.03570211065
Subtract 1
r/12000 = 0.03570211065
So, we have
r = 428.4253278
Hence, the value of r is 428.43
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I need help, been struggling for a while.
Answer:
-2
Step-by-step explanation:
5x/2 = -5
5 x/2=2 (-5)
5x= 2 (-5)
5x= -10
5x/5=-10/5
x=-10/5
x=-2
y = x -2
Slope
Intercept where is m= and b=
Answer:
Slope: 1
Y-Intercept: -2
y=x-2
Graph it by plotting a point at (0,-2) and then by going up one to the right. One up and then one to the right and repeat twice. Now you can graph this easily. Hope this helped!!
Step-by-step explanation:
Andrea needs to line the interior sides of a gift box in the shape of a regular octagonal prism with decorative paper. If the box is 2.5
Inches deep, what is the amount of decorative paper she needs to use?
20 in²
100 in ²
12.5 in2
40 in²
5 in
Answer:
12.5 in²
Step-by-step explanation:
what is the distance between the points -3,-8 and 6,-8
The distance between the points -3,-8, and 6,-8 is 3 units.
What is the distance between two points?The length of the line segment bridging two points on a plane is known as the distance between the points.
Look at the provided points.
Calculate the distance between the points using the given formula.
Given points are -3,-8 and 6,-8
Given two points lies the parallel to X-axis
The distance between the two points is
A (-3,-8) and B(6,-8) = X₂ - X₁
6 - 3 = 3 units.
Therefore, the distance between two points -3,-8 and 6,-8 is 3 units.
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Someone please help me with these.
The equations in the slope-intercept form are
p = 3b + 2 and p = (5/2)b + 15/2.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
From the table and scatter plot;
(a). The line for 'Build it' passes through (1, 10) and (3, 15),
then the equation of the line is,
p = (5/2)b + 15/2
Similarly, the equation of the line-'All things home' is,
p = 3b + 2.
(b) the graphs of the lines are given in the attached image.
(c) The equation in the slope-intercept form;
p = 3b + 2 and p = (5/2)b + 15/2.
(d) When b = 65,
then p = 3(65) + 2 and p = (5/2)(65) + 15/2.
So, p = 197 and p = 170
Therefore, all the required values are given above.
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what fraction is .1667
To convert 0.1667 to a fraction, we write it as 1667/10000, and simplify it to 1/6. Hence, the fraction of .1667 is 1/6.
To convert the decimal number 0.1667 to a fraction, we can write it as 1667/10000. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common factor, which is 167.
1667 ÷ 167 = 10
10000 ÷ 167 = 60 + 40/167
So, the fraction equivalent to 0.1667 is 1667/10000, which can be simplified to 10/60 + 40/167.
10/60 can be simplified to 1/6, so the final simplified fraction is:
0.1667 = 1/6 + 40/167
Therefore, the fraction equivalent to 0.1667 is 1/6.
Converting a decimal to a fraction involves expressing a decimal number as a ratio of two integers. To convert a decimal to a fraction, the decimal is written in the form of a fraction, with the decimal value as the numerator and a power of 10 as the denominator. The resulting fraction can be simplified by finding the greatest common factor between the numerator and denominator, and then dividing both by that factor. For example, to convert 0.1667 to a fraction, we write it as 1667/10000, and simplify it to 1/6.
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what is how do you find DAC
The value of DAC in the figure would be 47 degrees.
How to find the measure of DAC?From the question, we have the following parameters that can be used in our computation:
The angles EAD, DAC and CAB are all on a straight line which means they add up to 180 degrees.
Angle CAB is in a triangle which means all the angles add up to 180 degrees and the value of this angle is:
= 180 - 80 - 57 = 43 degrees
The value of DAC would then be;
= 180 - EAD - CAB
Substitute the known values in the above equation, so, we have the following representation
= 180 - 90 - 43
= 90 - 43 = 47 degrees
Hence, the angle is 47 degrees
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Jimmy has a piggy bank and which she saves all of her R5,R2 and R1 coins. the coins are in a ratio of 2:5:7 respectively. if she has twelve R5 coins saved in her piggy bank. How much she saved
The total amount that Jimmy has saved is $420.
How much has she saved?
Ratio shows the relationship between two or more numbers. It is the number of times that one value is contained within other value.
Total amount saved = (sum of ratios x total value of R5 saved) / ratio that represents R5 saved
Sum of ratios = 2 + 5 + 7 = 14
Total value of R5 saved = 12 x 5 = R60
= (14 x 60) / 2 = $420
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Use the Associative Property of Addition to write an expression equivalent to (W+4)+2
Answer:W+6
Step-by-step explanation: