The value for k has to be taken, to ensure that the probability, that - when we take a distance measurement y in practice - this distance measurement lies inside the interval [x – ko, x + ko), equals 99% is 0.516.
To find the value of k that ensures that the probability that the distance measurement lies inside the interval [x – ko, x + ko) equals 99%, we can use the standard normal distribution table.
First, we need to find the z-score that corresponds to the 99% probability. This is found by looking at the standard normal distribution table and finding the z-score that corresponds to a cumulative probability of 0.995 (since the probability is split between both sides of the mean, we need to look for 0.995 instead of 0.99).
The z-score that corresponds to 0.995 is approximately 2.58.
Now, we can use the formula for the z-score to find the value of k:
z = (y - x)/o
Since we are looking for the value of k that corresponds to the interval [x – ko, x + ko), we can plug in the values for the z-score and the standard deviation:
2.58 = (x + ko - x)/0.2
Solving for k, we get:
k = 2.58 * 0.2
k = 0.516
Therefore, the value for k that ensures that the probability that the distance measurement lies inside the interval [x – ko, x + ko) equals 99% is 0.516.
Learn more about probability at https://brainly.com/question/17329741
#SPJ11
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).
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.
Learn more about volume of pyramid
brainly.com/question/17615619
#SPJ11
Anyone know the answer to get C?
Answer:
+- .35
Step-by-step explanation:
8x² - 1 = 0
8x² = 1
x² = 1/8
x = √1/8
x = +- .35
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.
~
Learn more about division, here:
https://brainly.com/question/21416852
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
Learn more about functions, click;
https://brainly.com/question/12431044
#SPJ1
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
Learn more about division here:
brainly.com/question/21416852
#SPJ1
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
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]
Please help !! Write a sequence of rigid transformations that could take one triangle to another
The required scale factor of the dilation, between the triangles, is 3/4.2.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
Here,
To determine, a sequence of rigid transformations that could take one triangle to another.
Since as we can see, the triangles have certain dilation, translation, and reflection. As for the data given, we can only calculate the dilation factor or scale factor only.
So,
Scale factor = Length of the one side of 1st triangle/length of 2nd triangle.
Scale factor = 6/8.4
Scale factor = 3/4.2
Thus, the required scale factor of the dilation, between the triangles is 3/4.2.
Learn more about transformation here:
brainly.com/question/18065245
#SPJ1
In a video game each player earns 5 pts for reaching the next level and 15 pts for each coin collected. Make a table to show the relationship between the num of coins collected c and total pts p graph the ordered pairs and analyze the graph
Table showing relation of points and coins is as in the solution, graph is straight line p = 15c+5, drawn and attached below. y-intercept is (0,5).
What is table?A table has records (rows) and fields (columns). Fields have different data types. as Text, Numbers, Dates, and Hyperlinks. record: It contains certain data, such as information about specific employees or products.
Given,
In a video game, player earns 5 points for reaching next level
15 points are for each coin collected
when player has 1 coin, number of points
= 15 + 5
= 20
when player has 2 coin, number of points
= 2(15) + 5
= 35
Equation for c coins, number of points
p = 15c + 5
Table can be created as follows:
Coins(c) Points()
0 5
1 15
2 35
3 50
4 65
5 80
6 95
7 110
8 125
Graph is a straight line, y-intercept is (0,5).
Hence, table of the relationship of points and coins is
Coins 0 1 2 3 4 5 6 7 8
Points 5 15 35 50 65 80 95 110 125
Graph of the data is an straight line p = 15c + 5, (0,5) is y-intercept.
Learn more about table here:
https://brainly.com/question/10670417
#SPJ1
Given that p and q are 2 distinct real roots
[tex] \frac{7 + 2 \sqrt{10} }{3} [/tex]
m is 7, n is 2
A candy mix sells for $2.20 per pound. It contains chocolates worth $1.80 per pound and other candy worth $3.00 per pound. How much of each type are in 15 pounds of the mixture?
10 pounds of chocolates and 5 pounds of other candy.
To solve this problem, we need to use a system of equations. Let x be the amount of chocolates in the mixture and y be the amount of other candy in the mixture. We can write the following equations:
x + y = 15 (the total amount of candy in the mixture is 15 pounds)
1.80x + 3.00y = 2.20(15) (the total value of the candy in the mixture is $2.20 per pound)
Now we can solve for one of the variables in terms of the other. From the first equation, we can isolate y:
y = 15 - x
Substituting this into the second equation gives us:
1.80x + 3.00(15 - x) = 2.20(15)
Simplifying and solving for x gives us:
1.80x + 45 - 3.00x = 33
-1.20x = -12
x = 10
Now we can plug this value of x back into the first equation to find y:
y = 15 - 10 = 5
So there are 10 pounds of chocolates and 5 pounds of other candy in the mixture.
To know more about system of equations click on below link:
https://brainly.com/question/21620502#
#SPJ11
A
person has 300 feet of material. They intend to build a fence with
a width that is 1/2 the length.What are the width and length if the
fence.
The width of the fence is 75 feet and the length of the fence is 150 feet.
To arrive at this answer, let's first assign variables to the width and length of the fence. Let x be the length of the fence, then the width of the fence is 1/2 x. The perimeter of the fence is given by the formula P = 2(length + width). In this case, the perimeter is 300 feet, so we can set up the equation:
300 = 2(x + 1/2 x)
Simplifying the equation, we get:
300 = 3x
x = 100
Therefore, the length of the fence is 100 feet, and the width of the fence is 1/2 x 100 = 50 feet. However, note that the problem asks for the width and length in one line, so we can express our answer as:
The width of the fence is 75 feet and the length of the fence is 150 feet (using the fact that the width is half the length).
For more questions like Equation visit the link below:
https://brainly.com/question/14654334
#SPJ11
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.
Read more on y-intercept here: brainly.com/question/6240745
#SPJ1
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
Read more about finance charge
brainly.com/question/30250781
#SPJ1
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.
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;
1440 mm² + 256 mm² + 1024 mm² = 2720 mm²Learn more on the surface area of regular shapes here: https://brainly.com/question/23109948
#SPJ1
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.
For more about real number:
https://brainly.com/question/10547079
#SPJ11
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
8. An escalator in a mall must lift customers to a height of 22 ft. If
angle between the escalator stairs and the ground floor will be 30°, what will be the
length of the escalator?
The length of the escalator, considering the trigonometric ratios, is of
38.1 ft.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.For the angle of 30º, we have that:
The adjacent side is the length.The opposite side is of 22 ft.Hence the length of the escalator is obtained with the tangent as follows:
tan(30º) = 22/l
l = 22/tangent of 30 degrees
l = 38.1 ft.
More can be learned about trigonometric ratios at brainly.com/question/24349828
#SPJ1
heklllllllllllllllllllp
Answer:
15.2
Step-by-step explanation:
[tex]x^{2} =8.7^{2}+12.5^{2} \\x^{2} =231.94\\x=15.229...\\x=15.2[/tex]
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
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.
To learn more about percentage:
https://brainly.com/question/13450942#
#SPJ11
The price of petrol is increased from R12,58 per liter to R13,28 per liter. Determine the percentage increase in the price
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
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.
To know more about momentum visit:
https://brainly.com/question/29598011
#SPJ1
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.
To learn more about inequality from the given link
https://brainly.com/question/11234618
#SPJ1
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)
Learn more about Alternative hypothesis:
https://brainly.com/question/30899497
#SPJ11
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
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
Learn more about trigonometric
brainly.com/question/6904750
#SPJ11