The degrees of freedom equals 7.
The test statistic will be 2.55
The critical value will be 1.89.
How to calculate the valueFrom the information, they randomly sample 20 individuals and administer a 30 item true or false psychological test designed to measure depression and the scores that are greater than 20 indicate significant levels of depression.
The degree of freedom will be:
= n - 1
= 8 - 1
= 7
The test statistic will be:
= 22.25 - 20 /2.49 ✓8
= 2.55
The critical value will be 1.89.
Based on the information, it should be noted that we will fail to reject the null hypothesis.
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he radius of a circle is tripled. Which of the following describes the effect of this change on the area? The area is multiplied by 1/9 . The area is multiplied by 9. The area is multiplied by 3. The area is multiplied by 1/3.
Tripling the radius of a circle results in a nine-fold increase in its area.
The radius of a circle is a critical component in determining its size. Tripling the radius of a circle means that the size of the circle has increased three times its original size.
The area of a circle can be calculated using the formula
=> A = πr²,
where A represents the area of the circle, π is Pi, and r is the radius. When the radius of a circle is tripled, the value of r becomes 3 times its original value, meaning the formula becomes
=> A = π(3r)² = π * 9r² = 9πr².
Therefore, the new area of the circle is nine times the original area of the circle.
Complete Question:
The radius of a circle is tripled. Which of the following describes the effect of this change on the area?
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Can someone please help with my last question it’s a few geometry questions some I already did I really need help and it’s urgent . I will give them more points and brainliest
Answer:
Do you still need help?
I can help with your geometry if it is not too late.
Three times the sum of a number and 3 is the same as 1 subtracted from the number. Find the number.
Answer:
-5
Step-by-step explanation:
Let x be the number we are trying to find.
According to the problem statement, we know that:
3(x + 3) = x - 1
Expanding and solving for x, we get:
3x + 9 = x - 1
2x = -10
x = -5
So the number we were trying to find is -5.
HELPP !
How many times does the graph of y=x2- 4 cross the x-axis?
Answer: 9
Step-by-step explanation:
Y=x2=9
EASY POINTS!
What is the total cost of groceries if the state sales tax of 6.4% added $9.60 to the original cost?
$9.60
$72.93
$159.60
$172.93
Answer: $72.93
Step-by-step explanation:
$72.93
which of the following conclusions is best supported by the evidence above? regression 1 is a better fit because there appears to be a linear relationship between x and y. regression 2 is a better fit because there appears to be a linear relationship between x and y. regression 1 is a better fit because there appears to be a nonlinear relationship between x and y. regression 2 is a better fit because there appears to be a nonlinear relationship between x and
The correct option is (b) Regression 2 is a better fit because there appears to be a nonlinear relationship between x and y.
According to the above evidence, it is concluded that Regression 2 is better fit as, in the regression 2, the graph represents to be nonlinear relationship between x and y.
Since all the other concluded ones are not best describe the residential plot of given evidence, Hence, based on the evidence Regression 2 is better than the Regression 1 as it includes the nonlinear relationship between x and y that is exactly shown in the above evidence.
Question:
Which of the following conclusions is best supported by the evidence above?
a) Regression 1 is a better fit because there appears to be a nonlinear relationship between x and y.
b) Regression 2 is a better fit because there appears to be a nonlinear relationship between x and y.
c) Regression 1 is a better fit because there appears to be a linear relationship between x and y.
d)Regression 2 is a better fit because there appears to be a linear relationship between x and y
e) There is a negative correlation between x and y.
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A country's census lists the population of the country as 244 million in 1990, 287 million in 2000, and 324 million in 2010. Fit a second-degree polynomial passing through these three points. (Let the year 2000 be x = 0 and let p(x) represent the population in millions.)
A second-degree polynomial can be used to fit the three data points by finding the coefficients of the polynomial that pass through the three given points. The general form of a second-degree polynomial is:
p(x) = ax^2 + bx + c
We can use the three data points to solve for the coefficients a, b, and c. Let's use the year 2000 as the reference point and set x = 0. Then, we have:
p(0) = c = 287 million (at x = 0, the population is 287 million)
Next, let's use the data point for 1990, which is 244 million. The year 1990 is 10 years before 2000, so x = -10. Substituting these values into the polynomial, we have:
p(-10) = a * (-10)^2 + b * (-10) + c = 244 million
Solving for a and b using the two equations above, we have:
a = (244 - 287 + 10b) / 100
c = 287
Substituting these values back into the polynomial, we have:
p(x) = (244 - 287 + 10b) / 100 * x^2 + bx + 287
Finally, let's use the data point for 2010, which is 324 million. The year 2010 is 10 years after 2000, so x = 10. Substituting these values into the polynomial, we have:
p(10) = (244 - 287 + 10b) / 100 * 10^2 + b * 10 + 287 = 324 million
Solving for b, we have:
b = (324 - 244 + 287) / 10 - (244 - 287) / 100 * 10^2 = 37
Therefore, the final form of the second-degree polynomial that passes through the three data points is:
p(x) = (244 - 287 + 10 * 37) / 100 * x^2 + 37x + 287 = 7x^2 + 37x + 287
This polynomial can be used to estimate the population of the country for any year close to 1990, 2000, or 2010.
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Suppose I want to find an inverse to the function |cos x|. I intend to restrict the domain of the function to an interval whose left endpoint is x = 0 On which of the following intervals is |cos x| one-to one? Select one [0, pi/4] [0, pi/2] [0, pi] [0, 2 pi]
In the interval [0, π/2], the function is one-to-one or injective.
The functions which have one-to-one behaviour are called injective functions. An injective function is a function in which every horizontal line in the plane intersects the graph of f at most one point or we can say if f(x) = f(y) then x = y.
First, we need to draw the graph of y = |cos x|. The graph of y = |cos x| is attached.
We can see from the graph that the value of the function is 1 when x = 0 and the value of the function decreases till it takes 0 at x = π/2 and then the value of the function increases again.
In the option [0, π] and [0, 2π] the behaviour of the function is not injective.
In [0, π/4], the function is injective but [0, π/2] is the correct answer as it represents the largest interval starting from 0 on which this function is one-to-one.
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use differences to find a pattern in the sequence
To find a pattern in a sequence using differences, we can calculate the difference between consecutive terms and look for a pattern in the differences.
What is pattern in the sequence by using differences?Consider the sequence: 1, 4, 9, 16, 25, ...Step 1: Calculate the first difference.3, 5, 7, 9, ...Step 2: Calculate the second difference.2, 2, 2, ...Step 3: Observe the pattern in the differences.The second difference is constant and equal to 2.So, the pattern in the sequence is that each term is the square of a consecutive integer, or t_n = n^2.Note: By calculating the differences repeatedly, you can identify patterns in sequences, such as linear sequences, quadratic sequences, and more. This is a useful technique in finding relationships between the terms of a sequence and can help you predict future terms.To learn more about sequences refer:
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Scale Factor: 2; Center: (-2, 1)
Answer:
Brhaaliarwoiagsajaidgsiuaaidywlx
EASY POINTS!
A promotor for a gaming company makes a 28% commission for every game she successfully sells. If each game costs $55, how much money will she make selling 20 games?
$225.25
$100.00
$308.00
$15.40
Answer:
C
Step-by-step explanation:
So 28% of commission of each $55 game (I wish that was the real world)
Finding 28% of 55:
(.28)(55) = $15.40
Assuming she sells 20 games, we multiply $15.40 by 20
(15.40)(20) = $308
Tanis has contracted for an oil delivery price of $3.95 per gallon. His tank holds 210 gallons. If Tanis has six fill-ups during the winter, what will be his total cost?
The total cost of the six fill-ups during winter is $4977.
Word problems in mathematics.Word problems are mathematical problems expressed with words that involve the interpretation of mathematical variables and the usage of the appropriate arithmetic operations to solve them.
From the given information;
If the price per gallon is $3.95 and a tank can hold 210 gallons. Then, the price for a single full tank is $3.95 × 210 = $829.5
In addition to that, if Tanis has six fill-ups tanks during the winter, his total cost would be:
= $829.5 × 6
= $4977
Therefore, we can conclude that the total cost of the six fill-ups during winter is $4977.
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May someone please help me on this question? Thank you so much <33
Answer:
3 hours
Step-by-step explanation:
[100 points] A force of 6 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W is done in stretching it from its natural length to 4 in. beyond its natural length?
W = ___________ ft-lb
Answer:
its 48 lb·in.
I'll give you an example and plug in the numbers:
Given:
6 lb is needed to stretch 4 inches beyond natural length.
Need work done to stretch same string from natural length to 8 inches.
Solution:
string stiffness, K
= Force / stretched distance
= 6 lb / 4 inches
= 1.5 lb/inch
Work done on a string of stiffness K
= (Kx^2)/2 lb-in
= 1.5 lb/in *(8 in)^2)/2
= 48 lb-in.
investigate whether the set of whole numbers, the set of integers, and the set of rational numbers are closed under each of the four basic operations. drag and drop yes or no into each box to show whether the set of polynomials in one variable is closed under the four basic operations. then complete the statement that explains whether polynomials are like whole numbers, integers, or rational numbers with respect to closure.
The set of whole numbers, the set of integers, and the set of rational numbers are closed under each of the four basic operations.
Whole numbers:
Addition: Yes
Subtraction: No (e.g. 5 - 7 = -2)
Multiplication: Yes
Division: No (e.g. 4 ÷ 2/3 is not a whole number)
Integers:
Addition: Yes
Subtraction: Yes
Multiplication: Yes
Division: No (e.g. 4 ÷ 1/2 is not an integer)
Rational numbers:
Addition: Yes
Subtraction: Yes
Multiplication: Yes
Division: Yes (provided the denominator is non-zero)
Polynomials:
Addition: Yes
Subtraction: Yes
Multiplication: Yes
Division: No (in general, polynomials cannot be divided by other polynomials)
Polynomials are like rational numbers with respect to closure under addition, subtraction, and multiplication.
However, they are not closed under division like rational numbers.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.
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For the rectangle solve for x.
(PLEASE ANSWERRRRR WILL MARK BRAINLEST I NEED AN ANSWER FAST!)
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
In the rectangle, WU = 2NU, where WU = 13x - 1 and NU = 6
Replacing for the values in the equation: WU = 2NU, it becomes: 13x - 1 = 2 × 6
Going further:
[tex]13x - 1 = 12[/tex]
[tex]13x = 12 + 1 \\ 13x = 13[/tex]
[tex]x = \frac{13}{13} = 1[/tex]
Therefore, x = 1
I hope this helpedhelp me please I really don't get this and I have sooo many questions about this stuff >_
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{(\dfrac{7}{8})^4}[/tex]
[tex]\mathsf{= \dfrac{7}{8}\times\dfrac{7}{8}\times\dfrac{7}{8}\times\dfrac{7}{8}}[/tex]
[tex]\mathsf{= \dfrac{7\times7\times7\times7}{8\times8\times8\times8}}[/tex]
[tex]\mathsf{= \dfrac{49\times49}{64\times64}}[/tex]
[tex]\mathsf{= \dfrac{2,401}{4,096}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{2,401}{4,096}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
C is equidistant to which of the following points
The point C is equidistant to (b) CL = CM = CN
How to determine the equidistant pointsFrom the question, we have the following parameters that can be used in our computation:
The triangle
From the triangle, we can see that the point C is the centroid of the triangle
As a general rule:
The centroid is the geometric centre of a triangle. It is equidistant from all the points present on the triangle.
This means that point C is equidistant from L, M and N
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Two cyclists leave towns 255 kilometers apart at the same time and travel toward each other. One cyclist travels 7 kmh slower than the other. If they meet in 5 hours, what is the rate of each cyclist?
Check the picture below.
r = rate of the faster cyclist
r - 7 = rate of the slower cyclist
we know they both met 5 hours later, so the time each one has been cycling has been 5 hours for each.
let's say the faster cyclist on those 5 hours covered "k" kilometers, that means the slower one cover the slack, namely "255 - k" kilometers.
[tex]{\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{Km s}{distance}&\stackrel{km/h}{rate}&\stackrel{hour}{time}\\ \cline{2-4}&\\ \textit{faster cyclist}&k&r&5\\ \textit{slower cyclist}&255-k&r-7&5 \end{array}\hspace{5em} \begin{cases} k=(r)(5)\\\\ 255-k=(r-7)(5) \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{k=5r}\hspace{5em}\stackrel{\textit{substituting on the 2nd equation}}{255-(5r) = (r-7)(5)} \\\\\\ 255-5r=5r-35\implies 255=10r-35\implies 290=10r \\\\\\ \cfrac{290}{10}=r\implies 29=r\hspace{5em}\stackrel{\textit{faster cyclist}}{\text{\LARGE 29}~\frac{km}{h}}\hspace{5em}\stackrel{\textit{slower cyclist}}{\text{\LARGE 22}~\frac{km}{h}}[/tex]
Which decimal is greatest, .54, .504, or .45?
Answer:
The correct solution is .54
Step-by-step explanation:
Think about this like counting change.
0.54 is the largest amount. Next would be 0.504 (which in change would be close to 0.50 rounded down), lowest amount would be 0.45
Simplify the following ratio
a) 75m : 125cm
please help!
Choose the correct Set-builder form for the following set written in Roster form: { -4,− 3 , − 2 , − 1 , 0 , 1 }
The correct Set-builder form for the following set written in Roster form { -4,− 3 , − 2 , − 1 , 0 , 1 } is,
⇒ {x ∈ Z | - 4 ≤ x ≤ 1}
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The set is,
⇒ { -4,− 3 , − 2 , − 1 , 0 , 1 }
Now, The correct Set-builder form for the following set written in Roster form { -4,− 3 , − 2 , − 1 , 0 , 1 } is,
⇒ {x ∈ Z | - 4 ≤ x ≤ 1}
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Please help me with this question.
The value of the given indefinite integral is[tex]=\frac{1}{2}\ln \left|x^2+6x+45\right|-\frac{3}{2}\arctan \left(\frac{1}{6}\left(x+3\right)\right)+C[/tex]
What are indefinite integrals?An integral which is not having any upper and lower limit is known as an indefinite integral. Mathematically, if F(x) is any anti-derivative of f(x) then the most general antiderivative of f(x) is called an indefinite integral and denoted, ∫f(x) dx = F(x) + C.
Given is an indefinite integral, [tex]\int \frac{x-6}{\left(x+3\right)^2+36}dx[/tex]
Solving,
Applying u-subsituition,
[tex]=\int \frac{u-9}{u^2+36}du[/tex]
Expanding,
[tex]=\int \frac{u}{u^2+36}du-\int \frac{9}{u^2+36}du[/tex]
Since, [tex]\int \frac{u}{u^2+36}du = \frac{1}{2} ln|u^2+36|[/tex]
And,
[tex]\int \frac{9}{u^2+36}du = \frac{3}{2} tan^-^1(\frac{u}{6} )[/tex]
Therefore,
[tex]=\int \frac{u}{u^2+36}du-\int \frac{9}{u^2+36}du[/tex] [tex]=\frac{1}{2}\ln \left|u^2+36\right|-\frac{3}{2}\arctan \left(\frac{u}{6}\right)[/tex]
Substitute u = x+3
[tex]=\frac{1}{2}\ln \left|\left(x+3\right)^2+36\right|-\frac{3}{2}\arctan \left(\frac{x+3}{6}\right)[/tex]
[tex]=\frac{1}{2}\ln \left|x^2+6x+45\right|-\frac{3}{2}\arctan \left(\frac{1}{6}\left(x+3\right)\right)[/tex]
Add constant c,
[tex]=\frac{1}{2}\ln \left|x^2+6x+45\right|-\frac{3}{2}\arctan \left(\frac{1}{6}\left(x+3\right)\right)+C[/tex]
Hence, the value of the given indefinite integral is
[tex]=\frac{1}{2}\ln \left|x^2+6x+45\right|-\frac{3}{2}\arctan \left(\frac{1}{6}\left(x+3\right)\right)+C[/tex]
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8÷4×(6+2 of 4)+32-2
[tex]8 \div 4 \times (6 + 2 of4) + 32 - 2[/tex]
Answer:
=94
Step-by-step explanation:
Hope itvhelps you↑↑
Please help me I don't know
the answer be quick
Answer:
5:2 is the answer of that question.
The doctor orders 1000 mL D5RL to run at 100 ml/hr. How long will this IV infusion run?
This IV infusion will run for ____ hours.
(Round your answer to the nearest whole number.)
Answer: The IV infusion will run for 10 hours.
To find out, you divide the total volume of fluid (1000 mL) by the rate of infusion (100 mL/hr):
1000 mL / 100 mL/hr = 10 hours.
Rounding to the nearest whole number, the IV infusion will run for 10 hours.
Step-by-step explanation:
Answer:
The doctor orders 1000 mL of fluid to run at a rate of 100 mL per hour. To find out how long this IV infusion will run, divide the total volume of fluid by the flow rate:
1000 mL / 100 mL/hr = 10 hours
So, the IV infusion will run for 10 hours.
A B C Total
Male 5 15 20 40
Female 2 14 16 32
Total 7 29 36 72
If one student is chosen at random from those who took the test,
Find the probability that the student was female GIVEN they got a 'B'.
Round answer 4 places after the decimal if needed.
The probability that the student was female GIVEN they got a 'B' is 0.194.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
A B C Total
Male 5 15 20 40
Female 2 14 16 32
Total 7 29 36 72
We have to find the probability that the student was female GIVEN they got a 'B'
P(Female ∩ B) = 14/72 = 0.1944
Hence, the probability that the student was female GIVEN they got a 'B' is 0.194.
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phil bikes a distance of x miles at a rate of 15 miles per hour. how many hours did the trip take?
Answer:
Below
Step-by-step explanation:
The equation you need to remember is:
rate X time = distance re-arrange to
time = distance / rate sub in the numbers given to get
time = x / 15 hours
Please help me with this question.
The distance between the two points is 13 units.
How to calculate the distance between two points?
Distance between two points is the length of the line segment that connects the two points in a plane.
The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²)
point 1 (1, 4): x1 = 1 , y1 = 4
point 2 (6, 16): x2 = 6 , y2 = 16
Using the formula with the given values:
d=√((x2 – x1)² + (y2 – y1)²
d=√((6 – 1)² + (16 – 4)²)
d=√(5² + 12²)
d = √169
d = 13 units
Therefore, the distance is 13 units.
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The graph of f(x) =8° is shown below in blue. This graph in red is a transformation of f(x). Write a function that describes the transformed function, g(x).
Function F(X) is shifted 1 unit left and 1 unit up.
How do you graph a function using transformations?Identify The Parent Function.
Reflect Over X-Axis or Y-Axis.
Shift (Translate) Vertically or Horizontally.
Vertical and Horizontal Stretches/Compressions.
Plug in a couple of your coordinates into the parent function to double check your work.
Transformation of functions means that the curve representing the graph either "moves to left/right/up/down" or "it expands or compresses" or "it reflects". For example, the graph of the function f(x) = x2 + 3 is obtained by just moving the graph of g(x) = x2 by 3 units up.
There are different formulas for different rules of transformation. For vertically transformation the function f(x) is transformed to f(x) + a or f(x) - a. For horizontal transformation the function f(x) is transformed to f(x + a) or f(x - a). Further for stretched or compressed transformation is it f(cx) or cf(x).
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