There are three recipes provided to mention the fractional amounts of ingredients:
Recipe for Chicken Curry:
2 teaspoons of turmeric
1/2 teaspoon of cumin
1/4 spoon of any type of pepper
If you were to double this recipe, you would use:
4 teaspoons of turmeric
1 teaspoon of cumin
1/2 teaspoon of pepper
To double the amount of the ingredients, you would multiply each fraction by 2.
Chocolate chip cookies:
1/4 teaspoon of baking soda
1/2 teaspoon of salt
double the quantities if u want to make more or huge quantities
Tomato soup recipe
half a spoonful of dried basil
1/4 teaspoon of dried thyme
for this recipe, we will need
1 spoon of basil
1/2 teaspoon of dried thyme
Recipe for Pasta Salad:
fourth cup of Olive oil
1/3 cup of red wine vinegar
1/2 teaspoon of dried oregano
1/4 teaspoon of salt
1/8 teaspoon of black pepper
We can multiply by 2 if we increase the quantity.
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Help me please I’m confused I can’t figure this out
The required function is g(x) = f(x)-7
What are functions?A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.
Given is a graph of two functions, the functions are in a way related, we need to find the relation between the two,
f(x) = x²+5
g(x) = x²-2
We can write,
g(x) = x²+5-7
g(x) = f(x)-2
We can clearly see a vertical shift of 7 units down, of f(x),
Therefore, when we subtract 7 from the function f(x) we will get g(x) [graph attached]
Hence, the required function is g(x) = f(x)-7
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6. General questions 1. volume of pyramid b) progress , ideas • some people remembered a formula for volume of pyramid V = 1/3 lwh MAIN PROBLEM: where dues this come from? Why 1/3 ? • one strategy: dissect cube (orrectangule box) (assume for now l=w=h= 1) what is volume of negative space, compared to pyramid ? • second strategy glut multiple priemies together • third strategy: Slice pyramid horizontally Problems: • Keep thinking about strategy one and the • For strategy 3, fiad fald volume for four blocks that I drew above. (That is an overestimat) • Also we smiler stratey to set can underestimate That give range? • Try ti make more
These three strategies can help you understand why the volume of a pyramid is 1/3 lwh.
The formula for the volume of a pyramid is V = 1/3 lwh and the reason why the value is 1/3 is because of the three different strategies that can be used to calculate it.
The first strategy is to dissect a cube (a 3-dimensional rectangle) into the pyramid and the remaining negative space (assuming l=w=h=1). Comparing the volume of the pyramid to the negative space will show that the pyramid takes up 1/3 of the cube.
The second strategy is to stack multiple pyramids together. This will show that the sum of their volumes is equal to one third the total volume of the base they are stacked on.
The third strategy is to slice the pyramid horizontally, and calculate the volume of the four blocks. This will overestimate the volume of the pyramid, but by subtracting this volume from the total volume of the base, you can get a lower limit for the volume of the pyramid.
These three strategies can help you understand why the volume of a pyramid is 1/3 lwh.
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30 60 90 triangle. Hypotenuse 40. Find legs X and y
Answer:
X = 20 and Y = √3*20, or about 34.64
Step-by-step explanation:
In a 30-60-90 triangle, the hypotenuse is double the length of the shorter leg. To find the length of the shorter leg with the hypotenuse, just divide the length of the hypotenuse by 2. 40/2=20
In a 30-60-90 triangle, the longer leg is equal to the square root of 3 times the length of the shorter leg. √3(20)=34.6410161514, which can be rounded to 34.64
just a quick addition to the great reply above by "krr2007"
Check the picture below.
can somebody help me i need help
The number that Sean counts, considering the sequence of numbers for this problem, is given as follows:
27.
How to obtain the sequence of numbers?Two features are needed to obtain the sequence of numbers:
The initial number.The common difference.Sam's counts by 2 from 15, hence the parameters are given as follows:
Initial number of 15.Common difference of 2.Hence the sequence is given as follows:
15, 17, 19, 21, 23, 25, 27, 29, 31, 33 and 35.
Meaning that the number 27 is counted. We can see above that the sequence is composed only by odd numbers, which eliminates the numbers 16 and 22. As 13 is a number that is less than 15, it is also eliminated.
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M6U3L15: Representing ratios using tables
Set of practical problems
Complete the table to show the amounts of yellow and red paint needed for different numbers of batches of the same shade of orange paint.
Yellow paint (quarts)
Red paint (quarts)
5
6
Explain how you know that these amounts of yellow paint and red paint will give the same shade of orange as the mixture in the first row of the table.
A car is traveling at a constant speed, as shown by the double number line.
How far does the car travel in 14 hours? Explain or demonstrate your reasoning.
The olive trees in an orchard produce 3000 pounds of olives per year. It takes 20 pounds of olives to produce 3 liters of olive oil. How many liters of olive oil can this orchard produce in a year? If you get stuck, consider using the board.
Olives (pounds)
Olive oil (litres)
20
3
100
3000
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1)The completed table is
Yellow paint (quarts) | Red paint (quarts)
5 | 3
6 | 3.6
2) The car travels 98 miles in 14 hours.
3) The orchard can produce 450 liters of olive oil in a year.
What is a ratio?
A ratio is a quantitative comparison between two or more quantities, indicating how many times one quantity contains another. It is expressed as the quotient of the two quantities or in the form of a fraction. Ratios can be represented in various ways, including as decimals, percentages, or fractions.
Complete the table to show the amounts of yellow and red paint needed for different numbers of batches of the same shade of orange paint.
Yellow paint (quarts) | Red paint (quarts)
5 | 3
6 | 3.6
To get the same shade of orange paint, we need to mix yellow and red paint in a certain ratio. This ratio will determine the hue, saturation, and brightness of the final color. In this case, we can see that the ratio of yellow to red paint is 5:3 in the first row of the table, and 6:3.6 (which simplifies to 5:3) in the second row. This means that we need the same amount of yellow and red paint for each batch of orange paint, in a 5:3 ratio.
A car is traveling at a constant speed, as shown by the double number line.
The distance traveled by the car is directly proportional to the amount of time it travels. This means that the ratio of distance to time is constant. From the given double number line, we can see that the car travels 21 miles in 3 hours. Therefore, the ratio of distance to time is 21:3 or 7:1. To find how far the car travels in 14 hours, we can set up a proportion:
distance/time = 7/1
distance/14 = 7/1
distance = 7 x 14
distance = 98 miles
Therefore, the car travels 98 miles in 14 hours.
The olive trees in an orchard produce 3000 pounds of olives per year. It takes 20 pounds of olives to produce 3 liters of olive oil.
To find how many liters of olive oil the orchard can produce in a year, we need to divide the total weight of olives by the amount of olives needed to produce one liter of oil, and then multiply by the conversion factor:
Liters of oil = (Pounds of olives / Pounds per liter) x Conversion factor
Liters of oil = (3000 / 20) x 3
Liters of oil = 150 x 3
Liters of oil = 450
Therefore, the orchard can produce 450 liters of olive oil in a year.
Hence,
1)The completed table is
Yellow paint (quarts) | Red paint (quarts)
5 | 3
6 | 3.6
2) The car travels 98 miles in 14 hours.
3) The orchard can produce 450 liters of olive oil in a year.
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Use the unpaid balance method to find the finance charge on the credit card account. Last month's balance, the payment, the annual interest rate, and any other transactions are given below. Last month's balance, $530
Payment, $350
Interest rate, 19.6%
Bought dog. $190
Bought pet supplies, $55
Paid veterinarian b, $100
The finance charge is 5
(Round to the nearest cent as needed)
The finance charge for the credit card account for this billing cycle is $96.08.
How do we calculate the finance charge?The finance charge is the cost of consumer credit. It includes any charge payable directly or indirectly by the consumer and imposed directly or indirectly by the creditor as a result of or as a condition of credit extension.
Step 1: To calculate the average daily balance
Daily balance for days 1-29:
= $530 (the balance from last month)
Daily balance for day 30:
= $530 - $350 payment + $190 dog + $55 pet supplies - $100 vet bill
= $275
The average daily balance for the billing cycle is:
= (29 x $530 + 1 x $275) / 30
= $16,400 / 30
= $546.67
Step 2:
The portion of the balance subject to interest is the average daily balance minus the payment. The portion subject to interest is:
= $546.67 - $350
= $196.67
Step 3: Calculate the interest charged for the billing cycle
Monthly interest rate = 19.6% ÷ 12 = 0.01633
The Interest charged for the cycle is:
= Portion subject to interest x Monthly interest rate x Number of days in the billing cycle
= $196.67 x 0.01633 x 30
= $96.08
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The price of petrol is increased from R12,58 per liter to R13,28 per liter. Determine the percentage increase in the price
What is metallurgy? (4 points)
a
the study of how to domesticate animals
b
the science that studies how metals work
c
a Hindu sacred ritual for cleansing the body
d
the belief that natural objects have supernatural beings in them
Answer:
Metallurgy is the science that studies how metals work. It involves the extraction of metals from ores, their purification, and their conversion into useful alloys. Metallurgists also study the physical and chemical properties of metals, as well as their behavior under different conditions such as temperature and pressure.
Step-by-step explanation:
Hello,
the answer is "studies of how metals work."
Reason:
the answer is the science that studies how metals work.
If you need anymore help feel free to ask me!
Hope this helps!
~Matthew1756654
A baseball diamond is a square with side length about 27 m.
The player throws the ball from second base to home plate.
How far did the player throw the ball? Round your answer to
the nearest whole number.
Answer:
half
Step-by-step explanation:
Select the correct answer.
Answer:
c.4√6
Step-by-step explanation:
= √2 x 2 x 2 x 2 x 2 x 3
= √24 x 2 x 3
= 4√6
Julie is creating a poster from a picture that is 5 inches wide by 7 inches long. The poster will be 7 feet wife. How long, in feet, will the poster be?
Answer:
9.8 feet long
Step-by-step explanation:
We'll assume that the photo is to be scaled up from inches to feet. The increase in the width dimension is from 5 inches (wide) to 7 feet (wide). Convert the 7 feet into inches (7'*12" = 84").
Now we can calcullate a ratio of the old scale to the new:
(New Width)/(Old Width) = 84"/5" = 16.8
The phot is being made 16.8 times larger for the poster.
Use the same ratio to scale up the length of 7 inches:
(7")*(16.8) = 117.6 inches
(117.6")*(1 foot/12") = 9.8 feet long
Find the gradients of lines A and B.
26/63 Marks
B
6
4
3
21
1
-3-2-10 1 2 3 4 5 6
2
A
do No
70%
X
Answer:
Gradient of A: [tex]2[/tex]
Gradient of B : [tex]- 1[/tex]
Step-by-step explanation:
Gradient of a line is the slope of the line
Slope = rise/run
rise = difference in y values between any two points on the line
run = difference in x values between the corresponding points
Line A
Take points (0, 1) and (3,7)
rise = 7 - 1 = 6
run = 3 - 0 = 3
slope = gradient = 6/3 = 2
Gradient of a line which goes diagonally up from left to right is positive
Line B
Take points (0,5) and (5, 0)
rise = 0 - 5 = - 5
run = 5 - 0 = 5
slope = gradient = -5/5 = - 1
Gradient of a line which goes diagonally down from left to right is negative
Find the exact value of the following, using the point on the unit circle and the terminal side of each angle. State the point you used to find each trigonometric function value.
Show all work for all there.
Cos 17π/6
sin 20π/3
tan 15π/4
The exact values of the trigonometric functions are
To find the exact value of the trigonometric functions, we will use the reference angle and the quadrant in which the terminal side of each angle is located.
For cos 17π/6, the reference angle is π/6 and the terminal side is in the fourth quadrant. The point on the unit circle in this quadrant with a reference angle of π/6 is (√3/2, -1/2). Therefore, the exact value of cos 17π/6 is √3/2.
For sin 20π/3, the reference angle is π/3 and the terminal side is in the first quadrant. The point on the unit circle in this quadrant with a reference angle of π/3 is (1/2, √3/2). Therefore, the exact value of sin 20π/3 is √3/2.
For tan 15π/4, the reference angle is π/4 and the terminal side is in the third quadrant. The point on the unit circle in this quadrant with a reference angle of π/4 is (-√2/2, -√2/2). Therefore, the exact value of tan 15π/4 is 1.
In summary, the exact values of the trigonometric functions are:
cos 17π/6 = √3/2
sin 20π/3 = √3/2
tan 15π/4 = 1
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Giving Brainlist
Please show the steps :)
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Let
f(x)=−2x+4 and g(x)=−6x -7. Find f(x)−g(x).
35% of the campers went on a hike after dinner. If 35 campers went on the hike, what is the total number of campers at the camp
The total number of campers at the camp is calculted to be 100 campers.
To find the total number of campers at the camp, we need to use the given information about the percentage of campers that went on the hike and the number of campers that went on the hike.
35% = 35 campers / Total number of campers
Cross-multiplying and simplifying gives us:
35% * Total number of campers = 35 campers
Dividing both sides by 35% gives us:
Total number of campers = 35 campers / 35%
Converting 35% to a decimal gives us:
Total number of campers = 35 campers / 0.35
Solving for the total number of campers gives us:
Total number of campers = 100 campers
So the total number of campers at the camp that went on for hike is 100 campers.
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PLEAAAASEEEE HELPP!!!!!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!!
The line's y-intercept is equal to -3.
An inequality to express the possible distances Jim and Lee can travel in the taxi is 1.75x + 3.00 < 45.
What is y-intercept?In Mathematics, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the information provided about the line on the graph, we have the following:
y-intercept of function P = (0, -3).
Next, we would determine the possible distances Jim and Lee can travel in the taxi:
1.75x + 3.00 < 45.
1.75x < 45 - 3
1.75x < 42
x < 42/1.75
x < 24.
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Which points would you find on the graph for |x|+3>7?
7
-5
-4
-2
For the inequality |x| + 3 > 7, the points which are on its graph is -5 and 7.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
To solve the inequality |x| + 3 > 7, we need to isolate the absolute value by subtracting 3 from both sides, and then split it into two cases -
|x| > 4 and -(|x|) > 4 (by multiplying both sides by -1)
Simplifying the second inequality, we get -
|x| < -4
But this is impossible, because the absolute value of any number is always non-negative.
Therefore, the second inequality has no solutions.
For the first inequality, we have -
|x| > 4
This means that x is either less than -4 or greater than 4.
Therefore, the points on the graph that satisfy the inequality are -
-5 and any value less than -4
Any value greater than 4
So the points on the graph that satisfy the inequality are -
-5 and any value less than -4 or greater than 4.
Therefore, the correct options are -
-5 and 7.
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The volume of football is 4000pi/3 cm^3. Given that the volume of a sphere =4/3pi r^3 ,,find the radius r of the ball on cm
Answer:
r = 10
Step-by-step explanation:
just rearrange the equation to find r
A frustum is formed by removing a small square-based pyramid from a similar, larger one, as shown below. Each trapezium-shaped face of the frustum is the same size. Work out the surface area of the frustum. Give any decimal answers to 1 d.p. 17 mm 32 mm 17 mm Not drawn accurately
Help appreciated :)
The surface area of the frustrum, obtained summing the areas of the trapezium-shaped faces, and the square base and top is 2720 mm²
What is a frustrum?A frustrum is the part of a pyramid formed when the top is removed by a plane parallel to the base of the pyramid.
The slant height of the small square-based pyramid, is the same as the slant height of the frustrum. The base of the small pyramid therefore intersects the sides of the large pyramid at the midpoint of the sides, which indicates that the base of the small rectangle is a midsegment of the triangular sides of the square-based pyramid.
The midsegment theorem indicates that the side length of the base of the small pyramid is half the side length of the base of the large square-based pyramid. Therefore;
Length of the base of the smaller pyramid = 32 mm/2 = 16 mm
Height of the trapezium-shaped face = √(17² - ((32 - 16)/2)²) = √(17² - 8²) = 15
Area of the trapezium-shaped face = (16 mm + 32 mm) × 15 mm/2 = 360 mm²
The surface area of the four trapezium-shaped faces = 4 × 360 mm² = 1,440 mm²
The area of the square at the top of the frustrum = 16 mm × 16 mm = 256 mm²
The area of the square base = 32 mm × 32 mm = 1024 mm²
The surface area of the frustrum is therefore;
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Sally ate 400 fries in 20 minutes. Find her fry eating in fries per minute
Answer:
20 fries per minute.
Step-by-step explanation:
You are trying to find the amount of fries per minute, assuming that Sally eats the same amount each minute. It is given that there are 20 minutes and 400 fries in all. Divide the total amount of fries with the total amount of minutes:
(400 total fries)/(20 minutes) = (20 fries/minute)
20 fries per minute is your answer.
~
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REAL NUMBERS Combining like terms in a quadratic expression Simplify the following expression. 5x^(2)+2x-4-10x^(2)
To simplify the expression 5x2+2x-4-10x2, we must first combine like terms. Like terms are terms that have the same variable or variables with the same exponents.
In this expression, 5x2 and -10x2 are like terms. To combine them, we can add their coefficients (the numbers in front of the variable) together. So, 5x2 - 10x2 = (-5 + 5)x2 = 0x2.
Now, the expression has only two terms left. 2x and -4 are also like terms, since they both have the same variable. We can again add their coefficients together, which results in (2 + -4)x = -2x.
Therefore, the simplified expression is 0x2 - 2x. Note that there is no need to use the 0x2 term, so the expression can also be written as -2x.
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Six times the quantity negative two x plus three y
Answer: 12x+18y
Step-by-step explanation:
First analyze the statement "two x plus three y." This means you are multiplying 2 x's, multiplying 3 y's, and adding the addends. So its 2x+3y. Then apply the statement "six times the quantity." This means you are taking the quantity found (2x+3y) and multiply by 6. So its 6(2x+3y). Finally apply distributive property theorem: a(b+c)=ab+ac. So its 6(2x+3y) = 12x+18y.
An 80.0-kg fisherman jumps from a dock into a 100.0-kg rowboat which is not moving. If the velocity of the fisherman is 4.00 m/s when he jumps into the boat, what is the final velocity of the fisherman and the boat?
If the velocity of the fisherman is 4.00 m/s when he jumps into the boat, then the final velocity of the fisherman and the boat is 1.78 m/s.
What is momentum?Momentum is a vector quantity, which means that it has both magnitude and direction.
According to question:We can solve this problem using the law of conservation of momentum, which states that the total momentum of a system is conserved if there are no external forces acting on it.
The system's starting momentum is determined by:
p1 = m1v1
where p1 is the initial momentum of the fisherman, m1 is his mass, and v1 is his initial velocity. Since the boat is initially at rest, its momentum is zero. As a result, the system's overall initial momentum is:
p1tot = p1 + p2 = m1v1
where p2 is the initial momentum of the boat and is equal to zero.
When the fisherman jumps into the boat, the system becomes a closed system with no external forces acting on it. As a result, the system's overall momentum must be conserved.
p1tot = p2tot
where p2tot is the final momentum of the system. The system's final momentum is determined by:
p2tot = (m1 + m2)vf
where m2 is the mass of the boat, and vf is the final velocity of the boat and the fisherman.
We can rearrange these equations to solve for the final velocity vf:
p1tot = p2tot
m1v1 = (m1 + m2)vf
vf = (m1v1)/(m1 + m2)
Substituting the given values, we get:
vf = (80.0 kg)(4.00 m/s)/(80.0 kg + 100.0 kg)
vf = 1.78 m/s
Therefore, the final velocity of the fisherman and the boat is 1.78 m/s.
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Javier is saving money at a constant rate to buy a new car. After saving for 2
months, Javier has $920
. After saving for 4
months, Javier has $1,030
.
Construct a function that models the relationship between the amount of money Javier has saved and the number of months he has saved for. Show or explain how you constructed the function.
Respond in the space provided.
Answer:
look in the comments and have a good
Step-by-step explanation:
look
Write the subtraction sentence that is shown on the number line (Do not reduce the fractions)
We get 3/4 when we subtract 4.4/4 from 7.5/4.
How does subtract example work?
In mathematics, subtraction involves removing anything from a grouping or a number of objects. Whatever is left inside the group gets smaller as you subtract. The following subtraction issue, five minus three equals, is an illustration. 2
Does it say subtract or subtraction?
Short version: "Subtract" and "subtraction" (without the "s") are the proper forms. The fact that many languages have a term with a similar meaning that does contain an "s"—for example, solitaire in French and substrate in Spanish—probably explains how frequently English language learners make the error.
In light of the stated query
There is a number line with two numbers on it.
The one just after 4/4 and another one is after 7/4
Hence, the final answer is 7.5/4 -4.5/4 = 3/4
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Clare is throwing a pool party to kick off the summer. Her pool is empty, so she starts filling it with water from a garden hose.
Answer:
1.5 minutes and 15 gallons
Given that p and q are 2 distinct real roots
[tex] \frac{7 + 2 \sqrt{10} }{3} [/tex]
m is 7, n is 2
What is the measure of z?
16
y
X
z = 4√ [?]
Give your answer in simplest form.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{z}{20}=\cfrac{4}{z}\implies z^2=4(20)\implies z^2=4(4\cdot 5)\implies z^2=4^2\cdot 5 \\\\\\ z=\sqrt{4^2\cdot 5}\implies z=4\sqrt{5}[/tex]
Question 2 [Total: 17 marks] A group of art therapists investigated how the severity of anxiety symptoms of their patients may differ after the patients have undergone an art therapy programme for nine weeks in three cities (A, B, and C). The art therapists collected data from a sample of five patients from each city. The patients individually completed a questionnaire about the severity of their anxiety symptoms immediately after undergoing the art therapy programme. The scores on the questionnaire may vary between 0 and 50, and a higher score indicates more severe anxiety symptoms. The data are shown in the table below: City A City B City C 22 34 28 22 30 27 40 27 33 25 30 21 22 42 39
a. State the omnibus null and alternative hypotheses. [2 marks]
b. Conduct an appropriate statistical test, with a significance criterion of 5%, by hand calculation to answer the research question. Show your calculation steps, decide whether to reject the omnibus null hypothesis or not, and state the relevant statistical values to support your decision. If you decide to conduct ANOVA, no post-hoc test calculations are needed. [10 marks]
c. What is your statistical conclusion for the outcome in (b) with respect to the art therapy programme being investigated? [1 mark]
d. Handcalculatetheeta-squaredandomega-squaredvaluesfortheoverall effects of the independent variable on severity of anxiety symptoms. Show the numerical formulas you have used. [4 marks]
a. The omnibus null hypothesis and alternative hypothesis are H0: μA = μB = μC and H1: μA ≠ μB ≠ μC respectively. b. The statistical values are F(2,12) = 4.03, p < 0.05. As the F-ratio = 4.03 is greater than the critical value = 3.89, the null hypothesis is rejected. c. It is concluded that there exist a significant difference in the severity of anxiety symptoms after undergoing the art therapy program between the three cities. d. The eta-squared and omega-squared values are 0.40 and 0.34 respectively.
a. The omnibus null hypothesis is that there is no difference in the severity of anxiety symptoms after undergoing the art therapy program between the three cities. The alternative hypothesis is that there is a difference in the severity of anxiety symptoms after undergoing the art therapy program between the three cities.
H0: μA = μB = μC
H1: μA ≠ μB ≠ μC
b. To conduct an appropriate statistical test, we will use ANOVA (Analysis of Variance). The steps for the calculation are as follows:
Step 1: Calculate the grand mean (GM) of all the scores.
GM = (22+22+40+25+22+34+30+27+30+42+28+27+33+21+39)/15 = 29.6
Step 2: Calculate the sum of squares between groups (SSB).
SSB = 5((22+22+40+25+22)/5 - 29.6)^2 + 5((34+30+27+30+42)/5 - 29.6)^2 + 5((28+27+33+21+39)/5 - 29.6)^2 = 340.4
Step 3: Calculate the sum of squares within groups (SSW).
SSW = (22-24.2)^2 + (22-24.2)^2 + (40-24.2)^2 + (25-24.2)^2 + (22-24.2)^2 + (34-32.6)^2 + (30-32.6)^2 + (27-32.6)^2 + (30-32.6)^2 + (42-32.6)^2 + (28-29.6)^2 + (27-29.6)^2 + (33-29.6)^2 + (21-29.6)^2 + (39-29.6)^2 = 506.8
Step 4: Calculate the mean square between groups (MSB) and the mean square within groups (MSW).
MSB = SSB/dfB = 340.4/2 = 170.2
MSW = SSW/dfW = 506.8/12 = 42.23
Step 5: Calculate the F-ratio.
F = MSB/MSW = 170.2/42.23 = 4.03
Step 6: Compare the F-ratio with the critical value from the F-distribution table with dfB = 2 and dfW = 12 at a significance criterion of 5%.
The critical value is 3.89.
Step 7: Make a decision and state the relevant statistical values.
Since the F-ratio (4.03) is greater than the critical value (3.89), we reject the null hypothesis and conclude that there is a significant difference in the severity of anxiety symptoms after undergoing the art therapy program between the three cities. The relevant statistical values are F(2,12) = 4.03, p < 0.05.
c. The statistical conclusion for the outcome in (b) is that there is a significant difference in the severity of anxiety symptoms after undergoing the art therapy program between the three cities.
d. The eta-squared and omega-squared values for the overall effects of the independent variable on severity of anxiety symptoms are calculated as follows:
Eta-squared (η^2) = SSB/SST = 340.4/(340.4+506.8) = 0.40
Omega-squared (ω^2) = (SSB - dfB*MSW)/(SST + MSW) = (340.4 - 2*42.23)/(340.4+506.8+42.23) = 0.34
The numerical formulas used are:
η^2 = SSB/SST
ω^2 = (SSB - dfB*MSW)/(SST + MSW)
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Annabel sent 39 text messages to her brother during the last 13 days. How many text messages did she send her brother each day if she sent him the same number of text messages each day?
Therefore, Annabel sent her brother 3 text messages each day for the past 13 days.
What are the terms divisor, dividend, and remainder?The dividend must be divided by a certain number, which is known as the divisor. Quotient: The division's outcome is referred to as the quotient. Remainder – The remainder is the number that remains after division.
In this example, the number being divided (15) is known as the dividend, and the number being divided by (3 in this instance) is known as the divisor. The quotient is the outcome of the division. Observe how the equation remains valid even if you change the quotient and divisor: 15 3 = 5. 15 5 = 3.
To determine how many text messages Annabel sent her brother each day, we can divide the total number of text messages she sent by the number of days she sent them.
So, we divide 39 by 13 to get:
39 ÷ 13 = 3
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