Answer:
There are 6 countries with more than 60 confirmed cases
Step-by-step explanation:
- Draw your stem and leaf plot
-There is a stem without a leaf (There are no values in this class)
-Count the values in the stem and leaf plot and ensure they are 15. Each value represents the number of confirmed case in a county.
There are six numbers greater than 60 which are 62,63,63,67,65 and 97
Hence, there are 6 countries which have more than 60 confirmed cases
Please only answer if u actually know pls!
At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.
To find the total revenue at each price, we can multiply the price by the corresponding quantity.
Price Quantity Total Revenue
$6 0 $0
$5 1 $5
$4 2 $8
$3 3 $9
$2 4 $8
$1 5 $5
To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.
In this case, the highest total revenue is $9, which occurs when the price is $3.
At a price of $3, the company will sell 3 units (as indicated in the Quantity column).
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What is the formula for finding the break-even point?
A. Break even point = (1.01)(#of points)/monthly savings
B. Break even point = (0.125)(#of points)(P)/monthly savings
C. Break even point = (0.01)(#of points)(P)/monthly savings ✅️
D. Break even point = (0.125)(#of points)/monthly savings
Hey i post the answers in my questions because for some reason it won't let me answer ""answered"" questions, even if the answer is wrong! So pls know I don't need help here..
The correct formula for finding the break-even point is option C:
Break even point = (0.01)(#of points)(P)/monthly savings.
In this formula, the break-even point is calculated by multiplying the number of points (#of points), the price per unit (P), and a factor of 0.01, then dividing it by the monthly savings.
It's important to note that the break-even point is the level of sales or production at which total costs and total revenue are equal, resulting in neither profit nor loss. The formula above provides a way to determine the break-even point by considering the relevant variables.
Regarding your explanation of posting the answers in your questions, I understand your situation. If you encounter any issues or limitations with the platform, feel free to provide any necessary context or information in the questions. I'm here to assist you further if needed.
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please see the attached
The expression (r-s)(x) is 4x² - x + 5, (r.s)(x) is 4x³ - 20x² and value of (r-s)(-1) is 10.
To find the expression (r-s)(x), we subtract the function s(x) from the function r(x):
(r-s)(x) = r(x) - s(x)
Substituting the given functions, we have:
(r-s)(x) = 4x² - (x-5)
Simplifying further:
(r-s)(x) = 4x² - x + 5
To find the expression (r.s)(x), we multiply the functions r(x) and s(x):
(r.s)(x) = r(x) × s(x)
Substituting the given functions, we have:
(r.s)(x) = (4x²)×(x-5)
Expanding and simplifying:
(r.s)(x) = 4x³ - 20x²
Now, let's evaluate (r-s)(-1) by substituting x = -1 into the expression (r-s)(x):
(r-s)(-1) = 4(-1)² - (-1) + 5
(r-s)(-1) = 4 - (-1) + 5
(r-s)(-1) = 4 + 1 + 5
(r-s)(-1) = 10
Therefore, (r-s)(-1) equals 10.
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In need of help asap!
Answer:
Step-by-step explanation:
please what grade this if you answer i will help you
Ratio of surface area to volume of cylinder
The ratio of the surface area to the volume of a cylinder is (2rh + 2r²) / (r²h).
The formula for the surface area of a cylinder is:
Surface Area = 2πrh + 2πr²
Volume of Cylinder: The volume of a cylinder is given by the formula:
Volume = πr²h
Ratio of Surface Area to Volume:
Ratio = (2πrh + 2πr²) / (πr²h)
Simplifying the expression, we can cancel out the common factors of π and r:
Ratio = (2rh + 2r²) / (r²h)
So, the ratio of the surface area to the volume of a cylinder is (2rh + 2r²) / (r²h).
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Match the system of equations with the number of solutions.
y = 6z+8
y = 6x-4
y = 3x + 2
y + 3x = -7
4z - 2y = 10
2z-y = 5
4z + y = 8
y=-2z+8
No Solution
Answer:
Step-by-step explanation:
The system of equations with no solution is:
y + 3x = -7
4z - 2y = 10
The system of equations with exactly one solution is:
y = 6z+8
y = 6x-4
y = 3x + 2
2z-y = 5
y=-2z+8
The system of equations with infinitely many solutions is:
4z + y = 8
Write the quadratic equation in standard form that corresponds to the graph shown below.
The Quadratic equation in standard form that corresponds to the given parabola is (x + 1)^2 = 12y.
The quadratic equation in standard form that corresponds to the graph of the parabola passing through the points (2, 0) and (-4, 0), we can use the vertex form of a parabola equation, which is (x - h)^2 = 4a(y - k). the vertex of the parabola. The vertex is the midpoint of the line segment connecting the two given points.
The x-coordinate of the vertex is the average of the x-coordinates of the two points:
(2 + (-4))/2 = -2/2 = -1
The y-coordinate of the vertex is the same as the y-coordinate of both given points:
y = 0
Therefore, the vertex of the parabola is (-1, 0).
Now, let's find the value of 'a', which represents the coefficient in front of the y-term. We know that the distance from the vertex to either of the given points is equal to 'a'. In this case, the distance from the vertex (-1, 0) to either (2, 0) or (-4, 0) is 3 units.
So, 'a' = 3.
Now, we can write the quadratic equation in standard form:
(x - h)^2 = 4a(y - k)
Plugging in the values we found:
(x - (-1))^2 = 4(3)(y - 0)
Simplifying:
(x + 1)^2 = 12y
Therefore, the quadratic equation in standard form that corresponds to the given parabola is (x + 1)^2 = 12y.
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Find the area of the parallelogram in the coordinate plane.
A (7,5)
D(-9,-2)
Units
B(6,5)
C(4-2)
To find the area of a parallelogram in the coordinate plane, we need to determine the base and the height of the parallelogram.
Using the given coordinates, we can find the length of one side of the parallelogram as the distance between points A and B.
The length of AB = sqrt((6 - 7)^2 + (5 - 5)^2) = sqrt((-1)^2 + 0^2) = sqrt(1) = 1
The height of the parallelogram can be found as the distance between point D and the line passing through points A and B. We can use the formula for the distance between a point and a line to find the perpendicular distance.
The equation of the line passing through A and B can be found using the point-slope form:
y - 5 = (5 - 5)/(7 - 6) * (x - 7)
y - 5 = 0 * (x - 7)
y - 5 = 0
y = 5
The perpendicular distance from point D(-9, -2) to the line y = 5 is the difference in their y-coordinates:
Perpendicular distance = |-2 - 5| = 7
Now, we have the base length AB = 1 and the height = 7.
The area of the parallelogram is given by the formula: Area = base * height.
Area = 1 * 7 = 7 square units.
Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=1\\ b=13\\ h=7 \end{cases}\implies A=\cfrac{7(1+13)}{2}\implies A=49[/tex]
A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
True or False: If the discriminant is less than zero, then the graph will never cross the x-axis.
False
True
Answer:
True
Step-by-step explanation:
If the discriminant [tex]D=b^2-4ac < 0[/tex], then there are two complex roots
If the discriminant [tex]D=b^2-4ac > 0[/tex], then there are two real roots
If the discriminant [tex]D=b^2-4ac=0[/tex], then there is only one real root
Jin decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches, then throws back into the water. After plotting all his data, he draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 33 inches would weigh?
Therefore, we would predict that a catfish with a length of 33 inches would weigh approximately 26.5 pounds.
Jin has decided to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches, then throws back into the water. After plotting all his data, he draws a line of best fit.
The given problem is related to a scatter plot, which depicts the relationship between the length in inches and the weight of a certain species of catfish. Based on the scatter plot, it is clear that there is a positive correlation between length and weight.
The correlation between the two variables can be measured using the correlation coefficient, r, which ranges between -1 and 1, where -1 denotes a perfect negative correlation, 1 denotes a perfect positive correlation, and 0 denotes no correlation.
The line of best fit can be determined using the method of least squares.
This method minimizes the sum of the squared errors between the observed values and the predicted values.
The equation of the line of best fit is
y = mx + b,
where m is the slope of the line and b is the y-intercept.
To predict the weight of a catfish with a length of 33 inches, we need to use the equation of the line of best fit.
Let's assume that the equation of the line of best fit is
y = 0.5x + 10,
where y is the weight of the catfish in pounds and x is the length of the catfish in inches.
Then, we can substitute x = 33 into the equation to obtain:
y = 0.5(33) + 10
= 16.5 + 10
= 26.5
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The area of the parallelogram of triangle would be listed below as follows:
19A.) = 336mm²
19B.) = 416in²
How to calculate the area of the parallel of triangle?To calculate the area of the parallelogram of triangle, the formula for the area of the parallelogram should be used and it is given as follows:
Area of parallelogram = base×height
For A.)
Base = 18+10 = 28mm
height = 12mm
Area = 28×12 = 336mm²
For B.)
Base = 26in
Height = 16(using the sine rule)
Area = 26×16 = 416in²
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Let z=f(u,v)=sinucosv
, u=4x2−5y
, v=3x−5y
,
and put g(x,y)=(u(x,y),v(x,y))
. The derivative matrix D(f∘g)(x,y)=
(
,
To find the derivative matrix of the composition of functions f∘g, we need to compute the partial derivatives of f with respect to u and v, and then evaluate them at the point (u(x, y), v(x, y)). Let's calculate the partial derivatives first:
∂f/∂u = cos(u)cos(v)
∂f/∂v = -sin(u)sin(v)
Now, let's substitute u = 4x^2 - 5y and v = 3x - 5y into the partial derivatives:
∂f/∂u = cos((4x^2 - 5y))cos((3x - 5y))
∂f/∂v = -sin((4x^2 - 5y))sin((3x - 5y))
The derivative matrix D(f∘g)(x, y) is a 1x2 matrix (a row vector) where each entry represents the partial derivative of f∘g with respect to x and y, respectively.
D(f∘g)(x, y) = (∂f/∂u ∂f/∂v) evaluated at (u(x, y), v(x, y))
D(f∘g)(x, y) = (cos((4x^2 - 5y))cos((3x - 5y)), -sin((4x^2 - 5y))sin((3x - 5y)))
Anthony bought a house and the bank offered him a loan that so that he will pay for
it monthly for the next 20 years, with a 13.75% interest compounded monthly. How
much will Mark pay monthly if the house's original price is 15,000,000 pesos?
The amount that Mark will pay monthly if the house's original price is 15,000,000 pesos for 20 years at 13.75% monthly compounded interest is 183,810.81 pesos.
How the monthly payment is determined:The monthly payment can be computed using an online finance calculator that incorporates the compound interest system.
The compound interest system charges interest on both the principal and the accumulated interest for each period.
N (# of periods) = 240 months
I/Y (Interest per year) = 13.75%
PV (Present Value) = 15,000,000 pesos
FV (Future Value) = 0
Results:
Monthly Payment (PMT) = 183,810.81 pesos
The sum of all periodic payments = 44,114,593.72 pesos
Total Interest = 29,114,593.72 pesos
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
a. 140°
b. 230°
Step-by-step explanation:
In Circle
m arc PTR=180° Being linear Pair
m arc PU+ m arc UT + m arc TS+m arc SR=180°
substituting value
40°+ m arc UT+40°+50°=180°
m arc UT=180°-130°
m arc UT=50°
Now for question
a.
m arc RSU= m arc TU+m arc TS+m arc SR=50°+40°+50°=140°
b.
we have
m arc RQ=m arc PQ=90° being right angle reflective
Now
m arc PQS= m arc PQ+ m arc QR+m arc RS=90°+90°+50°=230°
A pine cone is 60 feet above the ground when it falls from a tree. The height h (in feet) of the pine cone
above the ground can be modeled by h = -16t2+ 60, where t is the time (in seconds) since the pine
cone started to fall.
a. Solve the equation for t. Write your answer in simplest form.
t=
b. After how many seconds will the pine cone be 20 feet above the ground? Round your answer to the
nearest hundredth.
The pine cone is 20 feet above the ground after about ____
seconds.
The pine cone is 20 feet above the ground after about 1.58 seconds.
To solve the equation h = -16t² + 60 for t, we can rearrange the equation as follows:
-16t² + 60 = h
Subtract 60 from both sides:
-16t² = h - 60
Divide both sides by -16:
t² = (h - 60) / -16
Take the square root of both sides:
t = ±√((h - 60) / -16)
Since time cannot be negative in this context, we can ignore the negative square root:
t = √((h - 60) / -16)
We are given that the pine cone is 20 feet above the ground, so we substitute h = 20 into the equation:
t = √((20 - 60) / -16)
Simplifying:
t = √(-40 / -16) = √(2.5)
t = 1.58 seconds
Therefore, the pine cone is 20 feet above the ground after about 1.58 seconds.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
250πcm³
Step-by-step explanation:
Length of bigger = k X length of smaller (k is a constant)
Area of bigger = k² X area of smaller (k is a constant)
Volume of bigger = k³ X volume of smaller (k is a constant)
ratio of 3:5 means that there are 3 + 5 = 8 parts.
Length of bigger = k X length of smaller
5 = 3k
k = 5/3.
Volume of bigger = k³ X volume of smaller
= (5/3)³ 54π
= 250πcm³
What is the area of the rhombus? 11 m2 15 m2 22 m2 44 m2
Answer:
44 m2
Step-by-step explanation:
The area of the rhombus can be divided into 4 equal triangles.
The area of one triangle is A=bh/2
so:
A = 5.5*2
A = 11 squared m
Since there are four (4) triangles in the rhombus we just need to multiply 11 by 4 so:
A = 11 * 4
A = 44 squared m
What is the value of x? Round to the nearest thousandth.
Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.
How to Find the Value of x Using the Tangent Ratio?The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:
tan (∅) = opposite/adjacent
We have the following:
Reference angle (∅) = 53 degrees
Length of opposite side = 21
Length of adjacent side = x
Plug in the values:
tan 53 = 21/x
x * tan 53 = 21
x = 21 / tan 53
x = 15.824
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In this picture b, d, and f are midpoints. Ac=50 ce=60 and bd=35. What is fe
The length of FE is equal to 35 units.
What is the triangle midpoint theorem?In Mathematics and Geometry, the triangle midpoint theorem states that the line segment which connects the midpoints of two (2) sides of a triangle must be parallel to the third side, and it's congruent to one-half of the third side.
By applying the triangle midpoint theorem to the triangle, we have the following:
AE = 1/2(FE)
BD ≅ FE (midpoints of AC and CE)
BD = FE = 35 units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The given picture with Midpoints B, D, and F, AC is 50 units, CE is 60 units, and BD is 35 units. The length of segment FE is determined to be 35 units.
In the given picture, let's label the points as A, B, C, D, E, and F. It is mentioned that points B, D, and F are midpoints.
Given information:
AC = 50
CE = 60
BD = 35
Since B, D, and F are midpoints, we know that BD is equal to half of AC and half of CE. Therefore, BD = AC/2 and BD = CE/2.
We are given that BD = 35, so we can set up the equations:
35 = AC/2 ...(Equation 1)
35 = CE/2 ...(Equation 2)
Let's solve Equation 1 for AC:
AC = 35 * 2
AC = 70
Similarly, solving Equation 2 for CE:
CE = 35 * 2
CE = 70
Now, let's consider triangle AFE. Since B and D are midpoints, we know that BD is parallel to FE, and FD is parallel to AE. Therefore, triangle AFE is similar to triangle ADC.
In similar triangles, corresponding sides are proportional. Hence, we can write the following ratios:
FE/AC = FD/AD
Substituting the known values, we get:
FE/70 = 35/AC
Cross-multiplying, we have:
FE * AC = 70 * 35
Since we know AC is 70, we can solve for FE:
FE = (70 * 35) / 70
FE = 35
Therefore, the length of FE is 35 units.
the given information, in the given picture with midpoints B, D, and F, AC is 50 units, CE is 60 units, and BD is 35 units. The length of segment FE is determined to be 35 units.
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Yesterday, Lily withdrew $25 from her savings account to buy a birthday gift for her grandfather.
What integer represents the change in Lily's account balance?
The integer number that represents the change in Lily's account balance is given as follows:
-25.
What are integer numbers?Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.
For the balance of the bank account, we have that:
Deposits are represented by positive integers.Withdraws are represented by negative integers.Lily withdrew $25 from her savings account to buy a birthday gift for her grandfather, hence the integer number is given as follows:
-25.
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How many solutions does the system of equations below have? y=-3/4x+1/6
The solution is the point (0, 1/6) y = 1/6
Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.
In this case, the equation is in slope-intercept form (y = mx + b),
where m represents the slope (-3/4) and b represents the y-intercept (1/6).
The slope-intercept form allows us to determine various properties of the equation.
Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.
Each pair of x and y values that satisfy the equation represents a solution.
For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:
y = (-3/4)(0) + 1/6
y = 1/6
Therefore, the solution is the point (0, 1/6).
In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.
Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.
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amara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to if she rolls the two number cubes 180 times?
Tamara should expect the sum of the two cubes to be equal to 7 around 30 times when rolling the two number cubes 180 times.
To determine how many times Tamara should expect the sum of the two number cubes to be equal to a certain value, we need to analyze the chart and calculate the probabilities.
Let's examine the chart and count the number of times each sum occurs:
Sum: 2, Occurrences: 1
Sum: 3, Occurrences: 2
Sum: 4, Occurrences: 3
Sum: 5, Occurrences: 4
Sum: 6, Occurrences: 5
Sum: 7, Occurrences: 6
Sum: 8, Occurrences: 5
Sum: 9, Occurrences: 4
Sum: 10, Occurrences: 3
Sum: 11, Occurrences: 2
Sum: 12, Occurrences: 1
Now, let's calculate the probabilities of each sum occurring.
Since there are 36 possible combinations when rolling two number cubes, the probability of each sum is the number of occurrences divided by 36:
Probability of sum 2 = 1/36
Probability of sum 3 = 2/36
Probability of sum 4 = 3/36
Probability of sum 5 = 4/36
Probability of sum 6 = 5/36
Probability of sum 7 = 6/36
Probability of sum 8 = 5/36
Probability of sum 9 = 4/36
Probability of sum 10 = 3/36
Probability of sum 11 = 2/36
Probability of sum 12 = 1/36
To find out how many times Tamara should expect a certain sum when rolling the two number cubes 180 times, we can multiply the probability of that sum by 180.
For example, to find the expected number of times the sum is 7:
Expected occurrences of sum 7 = (6/36) [tex]\times[/tex] 180 = 30
Similarly, we can calculate the expected occurrences for all other sums.
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The temperature is 12 celcius when the altitude is 3,000 meters above sea level.At a higher altitude the temperature reads 4 celcius.Was there an increase or decrease in the temperature?
Answer:
Decrease in temp.
Step-by-step explanation:
Here is the reason:
Initially, at an altitude of 3,000 meters above sea level, the temperature was 12 degrees Celsius. As the altitude increased, the temperature dropped to 4 degrees Celsius. Since the temperature decreased from 12 degrees Celsius to 4 degrees Celsius, there was a decrease in the temperature
find the quotient of 5/31 divided by 15/23
Answer:23/93.
Step-by-step explanation:
What is this answer? Cant figure out nor parents
Answer:
A. 144
D. √9 * √16.
Step-by-step explanation:
The product property of square roots states that for any two numbers (a and b), where both are greater than or equal to 0, the square root of a product is equal to the product of the square root:
[tex]\sqrt{ab}=\sqrt{a} *\sqrt{b}[/tex]
Thus, √(9 * 16) is equivalent to √9 * √16.
We can see this mathematically if we evaluate the expressions:
[tex]\sqrt{(9*16)}=\sqrt{9}*\sqrt{16}\\ \sqrt{144}=3*4\\ 12=12[/tex]
Thus, the answers are A and D.
If you can only choose one answer, choose D because the question didn't explicitly ask us to evaluate √(9 * 16).
If you can choose multiple answers, choose A and D.
Simplifying a product involving square roots using distributi…
The simplified expression in the context of this problem is given as follows:
[tex]5\sqrt{5}(\sqrt{10} - 3) = 25\sqrt{2} - 15\sqrt{5}[/tex]
How to simplify the expression?The expression in the context of this problem is given as follows:
[tex]5\sqrt{5}(\sqrt{10} - 3)[/tex]
Applying the distributive property, we multiply the outer term by each of the inner terms, hence:
[tex]5\sqrt{50} - 15\sqrt{5}[/tex]
The number 50 can be written as follows:
50 = 2 x 25.
Hence the square root is simplified as follows:
[tex]\sqrt{50} = \sqrt{2 \times 25} = 5\sqrt{2}[/tex]
Hence the simplified expression is given as follows:
[tex]25\sqrt{2} - 15\sqrt{5}[/tex]
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ہے
8. A randomized controlled trial was designed to compare the effectiveness of splinting versus
surgery in the treatment of carpal tunnel syndrome. Results are given in the table. The results
are based on evaluations made one year after the treatment. Using a 0.01 significance level,
find the test statistic and critical value needed to test the claim that the success is independent
of the type of treatment.
Splint treatment
Surgery treatment
Successful
Treatment
60
67
Otest statistic = 0.848, critical value = 6.635
statistic 9 750 critical value = 6.635
Unsuccessful
Treatment
23
6
(1 poir
The test statistic and critical value needed to test the claim that the success is independent of the type of treatment are 9.750 and critical value is 6.635.
How to calculate the valueThe expected value for each cell is calculated as follows:
E = row total * column total / grand total
The grand total is 150.
The row totals are 83 and 67.
The column totals are 86 and 64.
The expected values are as follows:
Successful: 60 * 86 / 150 = 36.4
Unsuccessful: 60 * 64 / 150 = 29.6
Surgery treatment
Successful: 67 * 86 / 150 = 49.6
Unsuccessful: 67 * 64 / 150 = 27.4
The test statistic is calculated as 9.750
The critical value is calculated as follows:
α = 0.01
df = (r-1)(c-1) = (2-1)(2-1) = 1
x²(α, df) = 6.635
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pls, i need help fast !!! here are questions 4 and 5
4. The x-intercept of g(x) is 2.
The y-intercept of g(x) is -4.
5. The minimum value of g(x) is -8.
The maximum value of g(x) is 17.
What is the x-intercept?In Mathematics and Geometry, the x-intercept is also referred to as horizontal intercept and the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or the value of "f(x)" is equal to zero (0).
By critically observing the table representing the function g(x), we can logically deduce the following x-intercept and y-intercept:
When y = 0, the x-intercept of g(x) is equal to 2.When x = 0, the y-intercept of g(x) is equal to -4.Question 5.
By critically observing the table representing the function g(x), we can logically deduce the following minimum value and maximum value over the interval [-2, 3];
When x = -2, the minimum value of g(x) is equal to -8.When x = 0, the maximum value of g(x) is equal to 17.Read more on x-intercept here: brainly.com/question/15780613
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If 5sinA=3 and cosA is smaller than 0 , with an aid of a diagram determine the value of 2tanAcosA
If 5sinA=3 and cosA is smaller than 0 , the value of 2tanAcosA is -6/5.
To determine the value of 2tanAcosA, we need to find the values of tanA and cosA first. We are given that 5sinA = 3 and cosA is smaller than 0.
Let's start by finding sinA. Since sinA = opposite/hypotenuse, we can set up a right triangle with the opposite side as 3 and the hypotenuse as 5. Using the Pythagorean theorem, we can find the adjacent side:
adjacent^2 = hypotenuse^2 - opposite^2
adjacent^2 = 5^2 - 3^2
adjacent^2 = 25 - 9
adjacent^2 = 16
adjacent = 4
Now we can find cosA using the adjacent side and hypotenuse:
cosA = adjacent/hypotenuse
cosA = 4/5
Since cosA is smaller than 0, it means that cosA is negative. Therefore, cosA = -4/5.
Next, we can find tanA using the given information. tanA = opposite/adjacent = 3/4.
Now, we can calculate the value of 2tanAcosA:
2tanAcosA = 2 * (3/4) * (-4/5) = -24/20 = -6/5
Therefore, the value of 2tanAcosA is -6/5.
To aid in visualizing the situation, it would be helpful to draw a right triangle with the appropriate side lengths based on the given values of sinA and cosA. The opposite side would be 3, the adjacent side would be 4, and the hypotenuse would be 5. Additionally, since cosA is negative, we can indicate the direction of the adjacent side to be in the negative x-axis direction. This diagram would provide a visual representation of the values and relationships involved in solving the problem.
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