a factorial anova includes ______ independent variable(s). a. more than one b. only one c. only two d. only three or more
A factorial anova includes only three or more independent variable(s). A factorial ANOVA involves analyzing the effects of two or more independent variables on a dependent variable. Therefore, it requires at least three independent variables to be included in the analysis. The correct answer is d.
Factorial ANOVA is a statistical analysis method used to examine the effects of multiple independent variables on a dependent variable. It involves examining the main effects of each independent variable, as well as the interactions between them.
A factorial ANOVA is typically used when researchers are interested in examining the combined effects of multiple variables on a single outcome. The method can be used in a wide range of fields, from psychology to biology to engineering, and is particularly useful in experimental research designs.
Overall, factorial ANOVA is a powerful tool for analysing complex data and uncovering the underlying relationships between variables. So, the correct answer is D).
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The ratio copper and zinc in an alloy is 5:7. if the weight of copper is 33.5 g, what is the weight of zinc.?
please answer this question. will give you brainliest. please. ASAP.
Answer:
19.5416g
Step-by-step explanation:
5+7 =12
33.5/12 = 2.7916
2.7916 x 7 = 19.5416g
Step-by-step explanation:
What geometric shape is modeled by a sheet of paper?Required to answer. Single choice.
(1 Point)
Line
Point
Plane
Line Segment
Answer:
line segment rigthjjlkkk
Solve for x. Round your answer to the nearest tenth and type it in the blank without units.
The opposite side of the right triangle (x) is approximately 6.888 inches long.
Right angle triangleTo solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:
sin(35) = opposite/12
To solve for the opposite, we can multiply both sides by 12:
opposite = 12 * sin(35)
sin(35) as approximately 0.574:
opposite = 12 * 0.574
opposite ≈ 6.888
Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.
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Find the measure of the indicated angle.
Answer: 88
Step-by-step explanation: angle B and C are equal. equation would be 46+46+X=180
could someone please answer these two
Answer:
SEE BELOW
Step-by-step explanation:
1. find value of m
a^2 + b^2 = c^2
7.5^2+10^2=c^2
15+100=c^2
115=c^2
square it
=10.7 (not answer)
a^2+b^2=c^2
10.7^2+30^2=c^2
114.49+900=c^2
1014.49=c^2
square it
m=31.9
2.20^2 + 21^2 = 841
29^2=841
yes the triangle is right angled !!!
hope this helps :)
100 POINTS & BRAINLIEST!!
Answer:
b
Step-by-step explanation:
Total hours for biweek or 2 weeks
2(20)40hoursHourly pay=$18.25
Total home pay
18.25(40)$730Atleast $255 per week you can easily acquire 1000 also by toil
how many post will it take for them to have the same number of followers how many followers will they have
It will take 11 posts for the number of followers to be equal
They will have 255 folllowers each on the 11th post
Here, we want to get the number of posts that would make them both have the same number of followers
For the first person, her number of followers after n post will be;
\(200\text{ + 5n}\)For the second person, her number of follwers after n post will be;
\(145\text{ + 10n}\)Since we have that, after n posts, the number of followers will be equal; we simply go on to equate the two
Thus, we have this as;
\(\begin{gathered} 200\text{ + 5n = 145 + 10n} \\ \\ 200-145\text{ = 10n-5n} \\ \\ 5n\text{ = 55} \\ \\ n\text{ = }\frac{55}{5} \\ \\ n\text{ = 11} \end{gathered}\)So after 11 posts, the number of follwers they each have will be the same
Now, we want to calculate the number of followes they have at the 11th post
We just need to substitute for n in any of the equations
Thus, we have that, the number of followers is';
\(\begin{gathered} 200+5(11) \\ \\ =\text{ 200 + 55 = 255 followers} \end{gathered}\)please solution this question quikly
The industry plans to produce 1000 tires in 5 days/ 8 hours and it akes 2 hour to produce a tire. How many operators are needed?
50
15
45
40
To produce 1000 tires in 5 days, with each tire taking 2 hours to produce, a total of 25 operators are needed.
To determine the number of operators needed, we need to consider the production rate and the time available.
The production rate can be calculated by dividing the total number of tires by the total time required to produce them. In this case, we want to produce 1000 tires in 5 days, which is equivalent to 5 days * 8 hours/day = 40 hours.
Since it takes 2 hours to produce a tire, the production rate is 1 tire every 2 hours or 1/2 tire per hour.
To produce 1000 tires, we need 1000 tires / (1/2 tire per hour) = 2000 hours of work.
Now, we can calculate the number of operators needed by dividing the total work hours by the number of hours each operator can work in a day. Assuming each operator works for 8 hours per day, the number of operators needed is 2000 hours / 8 hours per operator = 250 operators.
Therefore, to produce 1000 tires in 5 days, a total of 25 operators are needed.
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number 7 please
7. Determine the approximate location of a GPS receiver if it has been determined that: (4 mark) - Station 1 (at 74, 41) is \( 44 \mathrm{~km} \) away. - Station \( 2( \) at 0,43\( ) \) is \( 38 \math
If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).
The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.
It can be determined by the following method:
1: Plot the given stations on a coordinate plane. Stations are:
Station 1: (74, 41)
Station 2: (0, 43)
2: Calculate the distance of the GPS receiver from each station using the distance formula.
Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by
d = √[(x2 - x1)² + (y2 - y1)²]
Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km
Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km
3: Plot the given distances as the circle on the coordinate plane.
Circle 1: Centred at (74, 41) with a radius of 44 km.
Circle 2: Centred at (0, 43) with a radius of 38 km.
4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).
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A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. She selects a random sample of 49 trucks and finds a mean of 15. 8 tons with a sample standard deviation of 3. 85 tons. The 90 percent confidence interval for the population mean is:
The 90 percent confidence interval for the population mean is (15.03, 16.57) tons.
To calculate the confidence interval, we can use the formula:
Confidence interval = sample mean ± (critical value) * (standard deviation / √(sample size))
Since we want a 90 percent confidence interval, we need to find the critical value associated with a 90 percent confidence level. Looking up the critical value in a standard normal distribution table, we find that it is approximately 1.645.
Plugging in the values into the formula, we have:
Confidence interval = 15.8 ± (1.645) * (3.85 / √(49))
= 15.8 ± (1.645) * (3.85 / 7)
≈ 15.8 ± 0.77
Therefore, the 90 percent confidence interval for the population mean is (15.03, 16.57) tons.
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Please help I’ll give brainliest!
Answer: -2x(x-5)(x+4)
Step-by-step explanation:
Answer:
Step-by-step explanation:
add it up and then multiply and then you divide and you got the answer so may i please have brinliest. sir
so its x27
use a calculator or computer to find the length of the loop correct to four decimal places. the loop of the conchoid r=6+3 sec 0
select the correct answer. question 9 options:
a.l= 10.8932
b.l= 4.276
c.l=5.5952
d.l=8.7192
To find the length of the loop of the conchoid given by r = 6 + 3 sec(θ), we can use numerical integration or a calculator. The correct answer, rounded to four decimal places, is option c: l = 5.5952.
The length of a curve can be calculated using the arc length formula. In this case, we need to calculate the arc length of the conchoid curve defined by r = 6 + 3 sec(θ).
To find the length of the loop, we integrate the square root of the sum of the squares of the derivative of r with respect to θ. This integration accounts for the changing radius as θ varies.
Using numerical integration or a calculator, we can perform the integration and obtain the length of the loop of the conchoid. The result, rounded to four decimal places, is l = 5.5952.
The conchoid curve has a unique shape, and its length depends on the specific equation. By evaluating the integral, we can determine the precise length of the loop for the given conchoid equation.
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ABCD is a trapezium AD and BC are parallel
Part (a)
Answer: 12.1-----------------------
Work Shown:
We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.
Focus on triangle ABD
sin(angle) = opposite/hypotenuse
sin(D) = AB/BD
sin(56) = 10/x
x*sin(56) = 10
x = 10/sin(56)
x = 12.062179
x = 12.1
Make sure your calculator is in degree mode.
===================================================
Part (b)
Answer: 15.1-----------------------
Work Shown:
Draw an xy coordinate grid.
Place point A at the origin (0,0).
Point B is 10 units above this, so B is at (0,10).
Point C is at (18,10) since we move 18 units to the right of B.
Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.
Refer to the diagram below.
Apply the distance formula for the points C and D.
\(C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\\)
\(d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\\)
Segment CD is roughly 15.1 cm long.
a) The length of BD to 1 decimal place is 12.1
b) The length of CD to 1 decimal place is 15.1
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
Given ABCD is a trapezium AD and BC are parallel
we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.
on triangle ABD
sin(angle) = opposite/hypotenuse
sin(D) = AB/BD
sin(56) = 10/x
xsin(56) = 10
x = 10/sin(56)
x = 12.062179
x = 12.1 degree
Let xy coordinate grid. Place point A at the origin (0,0).
Point B is 10 units above this, B is at (0,10).
Point C is at (18,10) since we move 18 units to the right of B.
Point D is at approximately (6.745085, 0).
The 6.745085 solving tan(56) = 10/x for x.
Apply the distance formula for the points C and D.
D = √(18 - 6.745085)² + (10 -0)²
D = 15.1
Thus Segment CD is roughly 15.1 cm long.
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What is the volume of the box pictured below?
A rectangular prism of length 1 and 1 over 8 m, width 4 over 5 m, and height 5 over 6 m is shown.
fraction 2 over 3 cubic meter
fraction 3 over 4 cubic meter
fraction 9 over 10 cubic meter
fraction 15 over 16 cubic meter
Answer:
3/4 cubic meter
Step-by-step explanation:
1 1/8 x 4/5 x 5/6= 3/4
10 - 9x(-6) Evaluate the following expression
Answer:
\(→10 - 9x( - 6) \\= 10 - (9)( - 6)x \\= 10 + 54x \\= \boxed{ 54x + 10}✓\)
(54x+10) is the right answer.Step-by-step explanation:
10 - 9x(-6)
10 + 54x
54x = -10
x = -10/-54
x = 10/54
x = 5/27 ✓✓✓
the proportion of college football players who have had at least one concussion is estimated to be 34% in the united states. we wanted to know if football players at our university were less likely to have suffered a concussion, so we surveyed a random sample of 100 past and present football players at our university. is this survey valid or not valid for testing the hypothesis that the proportion of college football players at our university with at least one concussion is less than the national average?
All of the criteria's are fulfilled the survey is valid.
We have the information from the question:
The proportion of college football players who have had at least one concussion is estimated to be 34% in the united states.
Then, 34% = 0.34
The sample size of the data is = 100
p: the ‘proportion’ of ‘college’
The required conditions for testing the hypothesis of population proportion are,
(i) The population is larger than the sample
(ii) np > 10
=> 100 × 0.34
=34
(iii) n(1-p) > 10
100 × (1 - 0.34)
=> 100 × 0.66
=66
iv)The ‘sample’ is drawn randomly from the population.
Since all of the above criteria's are fulfilled the survey is valid.
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The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
Answer:
59°
58.3 inches
Step-by-step explanation:
Here is the full question :
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Please check the attached image for a diagram explaining this question
The angle the ladder makes with the ground is labelled x in the diagram
To find the value of x given the opposite and adjacent lengths, use tan
tan⁻¹ (opposite / adjacent)
tan⁻¹ (50 / 30)
tan⁻¹ 1.667
= 59°
the length of the ladder can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√(50² + 30²)
√(2500 + 900)
√3400
= 58.3 inches
5. You purchase a bicycle with a retail (pre-tax) price of $760. The local sales tax rate is
7.6%. What is the final cost?
Answer:
Final cost is 817.76
Step-by-step explanation:
First find the amount of the tax
760 * 7.6%
760 * .076
75.76
Add this to the cost of the bike
760+57.76
817.76
Write the equation of a line parallel to y=2x+7 that passes through the point (-4, 5)
Find the result of |x-1|=2
The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).
One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)
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a quadratic equation in standard form is written ax2 = bx c, where a, b, and c are real numbers and a is not zero. True or False
The given statement is correct.
Hence it is true.
We have a statement regarding the quadratic equations.
We have to verify whether it is true or not.
Since we know that,
A quadratic equation is an equation with a single variable of degree 2. Its general form is ax² + bx + c = 0, where x is variable and a, b, and c are constants, and a ≠ 0.
According to the question, we are provided with the standard form of the quadratic equation as - ax² + bx + c = 0.
If we compare the statement given in the question with the definition discussed above, then it can be concluded that the given statement is true. Equation ax² + bx + c = 0 is the standard form of a quadratic equation with a, b, and c as constant real numbers.
The constant 'a' cannot be 0, as this would reduce the degree of the equation to 1.
Hence, the given statement is correct.
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PLEASE HELPPPPPPPPPPPP
Answer:
Half of 7 is 3.5
That would be your radius.
3.5^2 x 3.14
12.25 x 3.14 = 38.465 yd2 <--------- area
3.14 x 3.5 x 2 = 21.98yd <------- perimeter
During a restaurant promotion, 3 out of every 25 customers receive a $10 coupon to use on their next visit. If there were 150 customers at the restaurant today, what was the total value of the coupons that were given out?.
Answer:
Step-by-step explanation:
First we need to know how many customers in total received a coupon the day that there were 150 customers.
If for each 25 customers, 3 received a coupon. 0.12 of customers received a coupon (\(\frac{3}{25}\) = 0.12)
You can multiply this value by 150 to get 0.12 x 150 = 18 people
Another way you can think about this is 150/25 = 6 and 6 x 3 = 18 people
Now that we know how many people received coupons, we need to find the monetary value of these coupons. To do this, we multiply 18 by $10. Therefore, the total value of the coupons that were given out was $180.
Answer: $180
Answer:
18 people
Step-by-step explanation:
3/25 = x/150
3 times 150 / 25
= 450/25
= 18 people
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a significance test about a proportion is conducted using a significance level of . the test statistic equals . the p-value is . a. if were true, for what probability of a type i error was the test designed? b. if this test resulted in a decision error, what type of error was it?
a) The test was designed to have a 5% chance of making a Type I error. b) Reject H0 since p-value < significance level. c) Type I error (false positive) if H0 is true and rejected.
A significance test is used to determine whether there is sufficient evidence to reject a null hypothesis, which is a statement about a population parameter, such as a proportion, mean, or standard deviation. The significance level, often denoted by α, is the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true. The commonly used significance level is 0.05, which means that the test is designed to have a 5% chance of making a Type I error.
In this scenario, the sample proportion is 0.12 and the p-value is 0.03, which is the probability of observing a sample proportion as extreme as 0.12 or more extreme, assuming that the null hypothesis is true. Since the p-value is less than the significance level, we have strong evidence against the null hypothesis, and we reject it. Therefore, we conclude that the proportion is significantly different from the hypothesized value.
If the null hypothesis is actually true, and we reject it based on the sample data, we have made a Type I error. In other words, we have falsely concluded that there is a difference when there is not. False positive is another name for this mistake. Conversely, a Type II error occurs when we fail to reject the null hypothesis when it is actually false, and this error is also known as a false negative.
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The complete question is:
A significance level of 0.05 is used when conducting a proportion-related significance test. 0.12 is the sample statistic. P-value equals 0.03.
a) What chance of a Type I error was the test designed for, if H0 were true?
b) What judgement would you draw on this test (reject or fail to reject)?
c) What kind of error, if any, was there as a result of this test?
Select the correct answer.
If function f has zeros at -3 and 4, which graph could represent function f?
A.
the graph of a quadratic function y = (1/4)(x+3)(x-4)
B.
the graph of a quadratic function y = -(1/4)(x-3)(x+4)
C.
the graph of a quadratic function y = -(x+3)(x+4)
D.
the graph of a quadratic function y = (x-3)(x-4)
HELP PLSS
Select all true statements that describe the expression x/5 -4 (x over five)
A. The expression represents x divided by the difference of 5 and 4
B. the expression represents the sum of x/5 and 4
C. the expression represents 4 less than one fifth x
D. The expression represents the quotient of x and 5, minus 4
HURRY PLS AND THANK U
Answer:
I think D
Step-by-step explanation:
In BODMAS or PEMDAS division comes before subtraction
eg
If x was 30,then it would be
30/5-4
= 6-4
=2
So therefore the expression represents the quotient of x and 5 minus 4
In trapezoid EFGH, EF¯¯¯¯¯ and HG¯¯¯¯¯¯ are the bases. Point J is the midpoint of EH¯¯¯¯¯¯ and point K is the midpoint of FG¯¯¯¯¯ . EF=3x+2 , HG=7x−2 , and JK=15 .
What is the value of x?
Answer:
6
Step-by-step explanation:
The required value of x is 3 for the given trapezoid.
What is a trapezoid?A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.
Given that EF and HG are the bases and J and K are the midpoints of the legs, we can use the midsegment theorem which states that:
The segment connecting the midpoints of the legs of a trapezoid is parallel to the bases and is equal to half the length of the bases.
We can use this theorem to write the equation:
JK = (EF+HG)/2
Now we are given that:
EF=3x+2 , HG=7x−2 , and JK=15
So we can substitute these values in the equation:
15 = (3x+2+7x-2)/2
15 = (10x)/2
15 = 5x
x = 3
Thus, the required value of x is 3.
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I will mark you brainlist!
What is descriptive and inferential statistics with example?
Both descriptive and inferential statistics are important branches of statistics and serve different purposes. Descriptive statistics is used to describe and summarize data, while inferential statistics is used to make predictions and draw conclusions about a population based on a sample of the data.
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It helps in making informed decisions based on the data and provides insights into the data. There are two main branches of statistics: descriptive statistics and inferential statistics.
Descriptive statistics is used to describe and summarize the data. It involves collecting, organizing, analyzing, and interpreting data in a meaningful way. Descriptive statistics help to present the data in a way that is easy to understand and interpret. It includes measures such as mean, median, mode, and standard deviation. For example, if we have a data set of heights of students in a class, we can use descriptive statistics to find the average height of students, which will give us a better understanding of the data.Inferential statistics, on the other hand, involves making inferences and predictions about a population based on a sample of the data. It helps in drawing conclusions and making decisions about a population based on a sample. Inferential statistics uses statistical models and hypothesis testing to make predictions and draw conclusions about the population. For example, if we have a sample of 100 students from a class of 1000 students and we want to know the average height of all the students in the class, we can use inferential statistics to make an estimate based on the sample data.
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