The correlation coefficient when there is a study of bone density on 5 random women is -0.909.
What is the correlation coefficient?It is the statistical measure of the strength of the linear relationship that's between two variables. The correlation coefficient is calculated by calculating the covariance of the variables and dividing that number by the product of the standard deviations of those variables.
The steps for calculating the correlation coefficient are as follows:
Choose your data sets.Determine the standardized value for your x variables.Determine the standardized value for your y variables.Find the sum by multiplying.Determine the correlation coefficient by dividing the total.The statistical software was used and the values include
Dependent variable = y
Independent variable = x
It should be noted that linear regression has an equation that is in the form of Y = a + bx. The equation is y = 451.674 - 2.051. This was gotten through the statistical software used.
Sample size = 5
Correlation coefficient = -9.09
In conclusion, the coefficient is -9.09.
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Jamar has invested $300 in an annuity each month, earning 5.5% interest for 30 years.
Beth has invested $600 in an annuity each month, earning 5.5% interest for 15 years.
Which of the following must be true?
Select the correct answer below:
Answer:
(d) Jamar's ending account balance is higher than Beth's ending balance.
Step-by-step explanation:
You want to know the best description of the relationship between final balances of two ordinary annuities:
300 per month for 30 years at 5.5%600 per month for 15 years at 5.5%Future valueThe attached calculator display shows the ending balance for Jamar's annuity and for Beth's annuity. We assume the final balance is the balance after the final payment. That is, Beth's balance will be known 15 years before Jamar's balance is known.
Jamar's balance: $274,083.57
Beth's balance: $167,247.33
The best description is ...
Jamar's ending account balance is higher than Beth's ending balance.
__
Additional comment
Jamar makes twice as many payments of half the amount each, so his total contribution is the same as Beth's. His early payments are earning interest for twice as long as Beth's, so his account earns more interest.
What is the mode for test scores 84,76,95,66,87,91,79,88,81,87?
Answer: mode is 94
Step-by-step explanation:
Please Help me its a hard ;--;
Answer: y intercept: (0, -1/7)
Step-by-step explanation:
First you start with y = 10x - 1/7
Since your finding the y-intercept, you turn the 10x into a 0
So you would have y = -1/7
So y = -1/7
is your answer!
I need help with this problem. Please and thank you.
After solving the given equation for r, the value of r is √T/4π.
What are equations?A mathematical equation is a formula that utilizes the equals sign to signify the equality of two expressions. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.So, the formula equation is:
T = 4πr²Now, solve for r as follows:
T = 4πr²r² = T/4πr = √T/4πTherefore, after solving the given equation for r, the value of r is √T/4π.
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ASAP PLS ANSWER ONLY THE SMARTEST CAN GET IT RIGHT
Red- 5 skittles
Purple- 8 skittles
Yellow- 1 skittle
Orange- 2 skittles
Green- 4 skittles
1. Tomas reaches in a bowl and pulls out a green skittle. Without replacing the green skittle, what is the probability he picks a yellow skittle.
A. 1/100
B. 1/80
C. 1/95
D. 1/76
2. What is the P(red, then red) without replacement.
A. 1/19
B. 1/16
C. 9/39
D. 9/20
Answer:
A
B
Step-by-step explanation:
that's it
15. Rachel Teeter has a monthly budget of $3000. She plans
to spend 34% for rent and utilities, 23% for food, 5% for
entertainment, 25% to pay off debt, and the remainder
will go into a savings account.
(a) What percent of the total budget will go into a savings
account?
Answer: 17%
Step-by-step explanation:
If you add up 34%, 23%, 5%, & 25% that would equal 83%, if you subtract the 83% from 100%, you would get 17%.The 17% is equivalent to 510. So Rachel Teeter will have $510 in her savings account.
(a)- domain and range of function
(b)- intercepts
(c)- horizontal asymptotes
(d)- vertical asymptotes
(e)- oblique asymptotes
Suppose we want to determine how long it takes on average for a typical adult to build four different styles of tables,
which are referred to as A, B, C, and D. To create four treatment groups, the researcher begins by writing the name
of each member of the population on a slip of paper. Next, the researcher puts all slips of paper into a hat and
shuffles them well. Finally, the researcher draws slips of paper from the hat to determine the participants in the
experiment. Identify the component missing from the researcher's process.
The researcher did not assign individuals to treatment groups.
* The researcher did not create the correct number of treatment groups
The researcher did not select the experimental units randomly.
* The researcher did not allow each experimental unit the chance of being chosen
Intro
Final
According to the given statement the correct option is A.
The researcher did not assign individuals to treatment groups.
What Do Researchers Actually Do?Typically, researchers are employed by either university or commercial organizations. To support future research, enlarge the body of academic literature, and enhance decision-making, researchers collect data over the course of a project, evaluate the data, and publish the results.
What aspect of a researcher's job is most crucial?Researchers have an obligation to share their findings, collaborate with others when needed, and transmit and use information for the good of their employer, the economy, and society at large. In the process of their research, researchers have an obligation to conduct themselves honestly and ethically.
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19.)x+ tan (xy) = 0
The value of y is, [tex]y = \frac{tan^-^1(-x) + \pi n}{x}[/tex].
What is tangent function?
One of the primary six trigonometric functions, the tangent function is typically expressed as tan x. When considering the angle in a right-angled triangle, it is the ratio of the opposite side to the adjacent side.
Consider, the given function
x + tan(xy) = 0
Subtract x from both sides,
x + tan(xy) - x = -x
tan(xy) = -x
Apply tan inverse on both sides,
[tex]xy = tan^-^1(-x) + n\pi[/tex] (Tangent function is a periodic function)
Divide both sides by x,
[tex]y = \frac{tan^-^1(-x)}{x} + \frac{n\pi }{x}[/tex], x ≠ 0
Hence, the value of y is, y = [tex]y = \frac{tan^-^1(-x)}{x} + \frac{n\pi }{x}[/tex].
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Simplify
8(x + 3)^2/2(× + 3)
Answer:
[tex] = \frac{8(x + 3) {}^{2} }{2(x + 3)} = 4(x + 3) = 4x + 12[/tex]
Hopefully this will help u
d/dx(e^x)=e^x prove
⇒[tex]\frac{d}{dx} (e^{x} )= e^{x} *\frac{d}{dx} (x)\\\frac{d}{dx} (e^{x} )=e^{x}*1\\\frac{d}{dx} (e^{x} )=e^{x}[/tex]
⇒Note this is all applied due to chain rule.
It is 163 cm from your eyes to your toes. You're standing 220 cm in front of a tall mirror. How far is it from your eyes to the image of your toes?
The distance between the eyes and the distance to the image of the toes will be 273.80 cm.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that It is 163 cm from your eyes to your toes. You're standing 220 cm in front of a tall mirror.
The distance between the image of toes and eyes will be calculated as,
H² = P² + B²
H= √(P² + B²)
H = √(163² + 220²)
H = √(26569+48400)
H = √74969
H = 273.80 cm
Therefore, the distance between the eyes and the distance to the image of the toes will be 273.80 cm.
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To purchase $12,200 worth of restaurant equipment for her business, Linda made a down payment of $1600 and took out a business loan for the rest. After 3
years of paying monthly payments of $322.48, she finally paid off the loan.
(a) What was the total amount Linda ended up paying for the equipment
(including the down payment and monthly payments)?
$0
(b) How much interest did Linda pay on the loan?
$0
Step-by-step explanation:
To purchase $12,200 worth of restaurant equipment for her business, Linda made a down payment of $1600 and took out a business loan for the rest. After 3 years of paying monthly payments of $322.48, she finally paid off the loan.
(a) What was the total amount Linda ended up paying for the equipment
(including the down payment and monthly payments)?
How much on loan:
12,200 - 1,600 = $10,600 loan amount
How much paid on loan:
$322.48 * 3 years * 12 months = $11,608.28 amount paid on loan
Total paid:
= loan amount + amount paid on loan
$10,600 + $$11,608.28
= $22,208.28 paid overall
________________________________________
(b) How much interest did Linda pay on the loan?
= loan amount - amount paid on loan
= $11,608.28 - $10,600
= $1,009.28 paid in interest
If CE and FH are parallel lines and m/CDG =
are parallel lines and m/CDG = 128°, what is mZHGD?
A total of 600 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the
number of adult tickets sold. How many adult tickets were sold?
Answer:
150 adult tickets where sold
Step-by-step explanation:
If we multiply 150 times 3 that gives us 450, which acounts for all the students. And 150 is the number thats left of adults that adds up to 600.
A teacher bought markers at a cost of $3 per set. The teacher had a $2-off coupon to use
toward the total cost of the markers bought.
Which table shows the relationship between , the number of sets of markers bought by the
teacher, and y, the total cost of the markers?
The first table A shows the relationship between the number of sets of markers bought by the teacher and the total cost of the markers.
From given question, the cost per set of markers = $3
The teacher had a $2-off coupon to use toward the total cost of the markers bought.
It is given that the number of sets of markers bought by the teacher is x, and y is the total cost of the markers.
so, we get a linear equation as:
3x - 2 = y
From table A we can see that the data satisfied the given equation,
3x - 2 = y
when x = 3, y = 3(3) - 2 = $7
when x = 9, y = 3(9) - 2 = $25
when x = 12, y = 3(12) - 2 = $34
when x = 24, y = 3(24) - 2 = $70
Therefore, the first table A shows the relationship between the number of sets of markers bought by the teacher and the total cost of the markers.
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To go to the theater you would pay $8.00 for each ticket you purchase. Which answer choice correctly represents the algebraic expression for the cost of t tickets?
A. 8t
B. 8 + t
C. 8 – t
D.
Answer:
Step-by-step explanation:
a
1) Use the scale factor to
determine the new area of each
scale drawing.
Scale factor = 3
2 meters
4.5 meters
Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The equations that can be used are y(y - 5) = 750, y² - 5y = 750, and (y + 25)(y – 30) = 0.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Length = y
Width = y - 5
Area = 750
The area of a rectangle is written as,
Length x Width = Area
y x (y - 5) = 750
y² - 5y = 750
y² - 5y - 750 = 0
(y + 25)(y – 30) = 0
The equations that can be used are y(y - 5) = 750, y² - 5y = 750, and (y + 25)(y – 30) = 0.
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5. Given the following measurements in
parallelogram ABCD, find the PERIMETER of
CED.
AC 34 in. AB = 26 in. BD = 28 in.
P=
The Perimeter of triangle CED is 57 in.
What is a parallelogram?
A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.
Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.
Two parallel pairs of sides make up a parallelogram, a quadrilateral. Four right angles form a parallelogram called a rectangle.
Rhombus: An equal-length parallelogram with four sides.
The diagonals of a parallelogram bisect each other AC = 2 CE
Substitute AC= 34 into AC = 2CE =34 = 2CE
Calculate 34 = 2 CE=> CE = 17
The diagonals of a parallelogram bisect each other BD = 2DE
Substitute BD= 28 into BD = 2DE => 28 = 2DE
Calculate 28 = 2DE => DE = 14
Opposite sides of parallelogram are congruent AB = CD
Substitute AB = 26 into AB = CD => CD = 26
Perimeter of a triangle PΔCDE = CE + CD + DE
Substitute CE = 17, DE = 14, CD = 26.
PΔCDE = CE + CD + DE
PΔCDE = 17+ 26 + 14
PΔCDE = 57 in
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I need help with this assignment.
Answer: over budget by $64
Step-by-step explanation:
$99 coat
$75 Shoes
$240 tv
Total=414
total-budget=
Budget =$350
414-350
= 64
Cp when Sp is 5625 and profit is 25%
4500 is the Cost price.
What do you mean by price at cost?
Cost price is the total sum of money that it costs a manufacturer to make a particular good or offer a particular service.The cost price of an item is the price at which it is produced or the price at which it is purchased. C.P. stands for "cost price." Selling Price: A product's selling price is the cost at which it is sold.SP = 5625
Profit = 25%
CP = ?
CP = 5625/125 * 100
= 45 * 100
= 4500
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A test consists of 10 true/false questions. To pass the test a student must answer at least 7 questions correctly. If a student guesses each question, what is the probability that the student will pass the test?
The probability that the student will pass the test, using the binomial distribution, is of:
0.172 = 17.2%.
What is the binomial distribution formula?The formula that gives the probability of x successes is presented as follows:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters of the formula are listed as follows:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.In the context of this problem, the values of these parameters are given as follows:
n = 10, as there are 10 questions.p = 0.5, as each question has two outcomes, and the student will guess the answer at random.The probability of passing is given by:
P(X ≥ 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.5)^{7}.(0.5)^{3} = 0.1172[/tex]
[tex]P(X = 8) = C_{10,8}.(0.5)^{8}.(0.5)^{2} = 0.0440[/tex]
[tex]P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098[/tex]
[tex]P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.0010[/tex]
Then:
P(X ≥ 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.1172 + 0.0440 + 0.0098 + 0.0010 = 0.172 = 17.2%.
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Subtract.
Your answer should be a polynomial in standard form.
(6a³ + 7a²) - (5a³ + 9a² + a) =
Step-by-step explanation:
=6a^3+7a^2-5a^3-9a^2-a
=a^3-2a^2-a this is the final answer.
math help, will mark brainliest
Answer: 1 question Solve for x
x=
3
−y−2z−10
Solve for y
y=−3x−2z−10
Step-by-step explanation: Steps for Solving Linear Equation
3x+y+2z=−10
Subtract y from both sides.
3x+2z=−10−y
Subtract 2z from both sides.
3x=−10−y−2z
The equation is in standard form.
3x=−y−2z−10
Divide both sides by 3.
3
3x
=
3
−y−2z−10
Dividing by 3 undoes the multiplication by 3.
x=
3
−y−2z−10
What are the zeros of the parabola in #1? (that is, at what points does the graph cross the x-axis?)
Picture is number one
The zeroes of the parabola is -1, -5.
What is parabola and zeroes of parabola?
A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
The equation of parabola can be expressed in two different ways, such as the standard form and the vertex form. The standard form of parabola equation is expressed as follows:
f(x) = y= ax2 + bx + c
To find zeroes of parabola
x = -b ±[tex]\sqrt{b^{2}-4ac } /2[/tex]
Given equation is
f(x) = [tex]x^{2} +6x+5[/tex]
a = 1, b = 6, c = 5
x = -6 ±[tex]\sqrt{36-4(5)}[/tex]/2
x = -6 ±[tex]\sqrt{16} /2[/tex]
x = -6 ± 4 /2
hence,
x = -6-4/2 and x = -6 +4/2
x = -5 or x = -1
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12) m/GOP = 80°, m/ROP
and m/ROG= 32x + 4. Find x.
R
Q
= 3 +59x,
G
The angular value of x is 3° as per the given the given information in the question.
What is meant by an angle?An angle in Euclidean geometry is the figure produced by two rays, called the sides of the angle, that have a common termination, called the vertex of the angle. Angles formed by two rays lie in the plane containing the rays. Angles are also generated by the intersection of two planes. These are referred to as dihedral angles. Two intersecting curves can also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.
Given,
m ∠GQP=80
m ∠RQP=3+59x
m ∠RQG=32x+4
From the figure,
m ∠RQG+ m ∠GQP= m ∠RQP
32x+4+80°=3+59x
27x=81°
x=3°
Therefore, the value of x=3°
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The amount $3.80 of 4% of what price?
Write the word sentence as an equation. Then solve. The sum of a number y and −3 is −8. Equation: Solution: y=
Considering the definition of an equation and the way to solve it, the equation is y +(-3)=-8 and the solution is -5.
Definition of equationAn equation is an algebraic equality in which letters appear with unknown value.
In an equation appears:
The members, which are each of the expressions that appear on both sides of the equal sign The terms, which are the addends that form the members of an equation.The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Equation and solution in this caseBeing "y" a number, and knowing that sum of a number and -3 is -8, the equation in this case is:
y + (-3)= -8
Solving:
y -3= -8
y= -8 +3
y= -5
Finally, the number "y" is -5.
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Minimizing Costs A pencil cup with a capacity of 20 in.3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 12¢/in.2 and the material for the base costs 60¢/in.2, what should the dimensions of the cup be to minimize the construction cost?
The dimensions of the cup that minimize the construction cost are 2 x 2 x 5 in
How to determine the dimensions of the cup that minimize the construction cost?
Given: Capacity = 20 in³, cost of material for the side = 12¢/in² and cost of material for the base = 60¢/in²
In order to calculate the dimension of the cup
Let h and x represent the height and square base respectively
Thus, the capacity (volume) of the pencil cup is can be represented as:
V = x²h (where V = 20)
20 = x²h
h = 20/x²
At minimum cost, we have:
C(x) = 60x² + 12(4xh)
C(x) = 60x² + 48xh (put h = 20/x²)
C(x) = 60x² + 48x(20/x²)
C(x) = 60x² + 960/x
Differentiating with respect to x, we have:
C(x) = 120x - 960/x² (multiply through by x²)
120x³-960 = 0
120x³ = 960
x³ = 960/120
x³ = 8
x = ∛8 = 2 in
For the height:
h = 20/x²
h = 20/2²
h = 20/4 = 5 in
dimensions = 2 x 2 x 5 in
Therefore, the dimensions of the cup that minimize the construction cost are a 2 x 2 square base and height of 5 in
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