Answer:
sorry I don't know the answer
When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, a one-way anova is appropriate. It is also appropriate in this situation, however, to compare two means at a time using multiple independent two sample t-tests. True or false?.
According one-way ANOVA, the test is false.
In the given question,
When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, a one-way ANOVA is appropriate. It is also appropriate in this situation, however, to compare two means at a time using multiple independent two sample t-tests. We have to check whether this is true or false.
We firstly learn about one-way ANOVA
"One-Way ANOVA, also known as "analysis of variance," examines the means of two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."
According to the given method it is inappropriate to compare two means at a time using multiple independent two sample t-tests. It will create multiple testing problem and error.
So using one way ANOVA test when comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment and compare two means at a time using multiple independent two sample t-tests is false.
To learn more about one-way ANOVA link is here
brainly.com/question/23638404
#SPJ4
-3.99 as a fraction in simplest form
Answer:
The number 3.99 as a fraction in its simplest form is 3 and 99/100. In its simplest form of a mixed fraction is 399/100.
Step-by-step explanation:
hope that helps>3
Answer:
- 3 99/100
= - 399/100
Step-by-step explanation:
Determine which of the values is a solution of 4t+6≤10
The values that are solution of stated inequality expression are -8,-4,0 and 1.
The stated expression represents inequality. Hence, the solution will provide a range rather than a specific number as a resultant value. We will solve it in similar method to inequality.
Rearranging the expression in terms of 4t
4t ≤ 10 - 6
Subtracting the digits on Right Hand Side of the expression
4t ≤ 4
Rewriting the expression
t ≤ 4/4
Dividing the value on Right Hand Side of the equation
t ≤ 1
The values will be 1 or less than 1. Thus, the solution values are -8,-4,0 and 1.
Learn more about inequality -
https://brainly.com/question/25275758
#SPJ4
The complete question is -
Determine which of the values is a solution of 4t+6≤10
Values = -8,-4,0,1,3,7
if an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? round your answer to the nearest thousandth.
The probability that the chosen adult have high school or some college degree but no college degree is 0.683.
From the definition of probability we know that,
Probability of Event = (Outcomes favorable to that event)/(Total number of outcomes under that event)
Total number of adults in the town is given by = 4286 + 6313 + 3033 + 1886 = 15518.
The number of adults have high school degree only = 4286
The number of adults have some college degree only = 6313
The number of adults have high school or some college degree but no college degree = 4286 + 6313 = 10599.
The probability that the chosen adult have high school or some college degree but no college degree is given by
= 10599/15518 [According to definition of probability]
= 0.683 [Rounding off to nearest thousandth]
Hence, probability that the chosen adult have high school or some college degree but no college degree is 0.683.
To know more about probability here
https://brainly.com/question/251701
#SPJ4
The question is incomplete. The complete question will be -
A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter, what kinetic energy will the ball acquire from the bat?
1.0 x 102 J
2.0 x 102 J
2.5 x 101 J
4.0 x 102 J
The kinetic energy will the ball acquire from the bat is 2× 10² J
According to the question
Bat stays in contact for 5.0 X 10⁻³ and the ball travels at a speed of 2.0 X 10⁴.
An object's kinetic energy is the power it has as a result of motion. It is explained as the amount of effort required to move a mass-based body from rest to the indicated velocity.
The body keeps its kinetic energy, which it acquired during acceleration, unless its speed changes.
A mass m object moving at a speed v has kinetic energy 1/2 mv² according to classical mechanics.
Favg= -1/2 MV²
K= -1 2 ( 5.0 x 10⁻³)²
K = - 1/2 ×25 × 10⁻⁶
K = 2× 10² J
To know more about kinetic energy here
https://brainly.com/question/999862
#SPJ4
what is the expression in radical form? (5x^3 y^2) 2/8
Answer: (y^{2}x^{3}⋅5)/4
Step-by-step explanation:
Convert to Radical Form
\((5x^3y^2)\frac{2}{8}\)
Reduce the expression \(\frac{2}{8}\) by cancelling the common factors.
Factor 2 out of 2.
\(5x^3y^2\frac{2(1)}{8}\)
Factor 2 out of 8.
\(5x^3y^2 \frac{2(1)}{2(4)}\)
Cancel the common factor.
\(5x^3y^2 \frac{1}{4}\)
Combine 5 and \(\frac{1}{4}\).
\(x^3y^2\frac{5}{4}\)
Combine \(x^{3}\) and \(\frac{5}{4}\) .
\(y^2\frac{x^3(5)}{4}\)
Combine \(y^{2}\) and \(\frac{x^3*5}{4}\)
\(\frac{y^2x^3*5}{4}\)
There are red tiles and blue tiles in a box. The ratio of red tiles to blue tiles is 3:5. There
are 12 more blue tiles than red tiles in the box. How many red tiles are in the box?
Answer:
Step-by-step explanation:
18
How would you combine like terms with exponents? Do you add the exponents?
Answer: When combining like terms, add or subtract the coefficients. Keep the exponents as they are.
Step-by-step explanation:
You can combine 2x^2 + 3x^2 to get 5x^2. If x =3, 3^2=9 So 2(3)^2 is 18 and 3(3)^2 is 27. 18+27=45 And 5(3)^2= 45. Same result!
You can not combine 2x^2 and 2x^3. If the value of x is 3, 2(3)^2 this term works out to =18 and 2(3)^3 =54
If you add the exponents x^5 becomes 2(3)^5 or 2×243=486. Vastly different values! Don't add exponents unless you are multiplying terms.
Yes, when combining like terms with exponents, you add the exponents only if the terms have the same base.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
When combining like terms with exponents, you add the exponents only if the terms have the same base.
For example,
3x² + 9x²
= (3 + 9)x²
= 12x²
And,
2² x 2³
= \(2^{2 + 3}\)
= \(2^5\)
Thus,
Yes, we add the exponents.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
The price of Stock A at 9 A.M. was $13.58. Since then, the price has been increasing at the rate of $0.09 each hour. At noon the price of Stock B was $14.08. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
2 2/15 hours from noon the stock prices will be same.
Answer:
Step-by-step explanation:
We can write equations for increasing stock and decreasing stock and find our answer.
Let number of hours be "t" for both to be same
For first, we can write:
13.14 + 0.06t
But, 2nd one starts from noon, so already 12pm - 9am = 3 hours gone, so stock A increased by 3 * 0.06 = 0.18, so we equation would be:
13.32 + 0.06t
Now, Stock B's equation [from noon]:
13.64 - 0.09t
Equate and solve:
\begin{gathered}13.32 + 0.06t=13.64-0.09t\\0.15t=0.32\\t=2\frac{2}{15}\end{gathered}13.32+0.06t=13.64−0.09t0.15t=0.32t=2152
In 2 2/15 hours, the prices will be same
Amber's family is on vacation. Her parents give her, her sister, and her three brothers each $25 to spend.
By the last day, Amber has spent
2
5
of her money, her sister spent
4
5
of her money, and two of her brothers spent
1
2
of their money.
They agree to combine what they have left and share it equally for the last day. How much will each one get?
A
$14.00/each
B
$9.00/each
C
$17.50/each
D
$16.50/each
Answer:
B
Step-by-step explanation:
$25 + $45 + $12 = $82
$25 * $5 = $125
$125 - $82 = $43
$43/5 = $8.6
which of the following points satisfies the inequality 2x - 3y < 1?
Answer:
None of the given points satisfy the inequality 2x - 3y < 1.
Step-by-step explanation:
To determine which points satisfy the inequality 2x - 3y < 1, we can substitute the coordinates of each point into the inequality and check if the inequality holds true.
Let's consider the given points:
Point A: (1, 0)
2(1) - 3(0) < 1
2 - 0 < 1
2 < 1 (False)
Point B: (-1, -1)
2(-1) - 3(-1) < 1
-2 + 3 < 1
1 < 1 (False)
Point C: (3, -2)
2(3) - 3(-2) < 1
6 + 6 < 1
12 < 1 (False)
None of the given points satisfy the inequality 2x - 3y < 1.
Therefore, none of the points A, B, or C satisfy the inequality.
Idrissa collected pennies in a fundraiser. He measured the mass of all the pennies he collected to be2,400 grams. Two pennies put together have a mass of 5 grams. How much money did Idrissa raise in
this fundraiser?
The total amount of pennies Idrissa raised in this fundraiser is = 960 pennies
The total mass of all the pennies = 2,400g
But two (2) pennies = 5g
Therefore, to calculate the total amount of pennies Idrissa raised you cross multiply.
That is: 2 pennies = 5g
x pennies = 2,400g
Making x the subject of formula,
\( x = \frac{2 \times 2400}{5} \)
\(x = \frac{4800}{5} \)
\(x = 960\)
Therefore the total amount of pennies Idrissa raised in this fundraiser is = 960 pennies.
Learn more here:
https://brainly.com/question/294036
Two way table Probability (100 points awarded)
If a student is selected at random find the probability the student is a freshman. P(Freshman) =
Round to the nearest whole percent.
Answer:
Out of the 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30 total students, 4 + 3 = 7 are freshmen so the answer is 7 / 30 * 100 = 23%.
Step-by-step explanation:
What is the answer for this equation or problem? y+6=52 and what does y equal.
Answer: y=46
Step-by-step explanation:
Subtract 6 from either side to ensure that the y is alone. This then equals y=52-6.
52-6= 46
So therefore, y=46
Answer:
y=46
Step-by-step explanation:
We are given the equation:
y+6=52
and asked to solve for y. Therefore, we must isolate y on one side of the equation.
6 is being added to y. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
y+6-6=52-6
y=52-6
y= 46
Let’s check our solution. Plug 46 in for y and solve.
y+6=52
46+6=52
52=52
This checks out, so we know our solution is correct.
The solution to the equation y+6=52 is y=46
A student borrowed $5000 from her parents and agreed to repay it at the end of 4 years, together with 6% simple interest. 3-2 A E (a) How much is repaid? (b) Do you ever borrow or lend money with family and friends? Given the time value of money, is it ethical not to pay interest? How does the amount or duration of the loan matter?
(a) The student repays $6200 ($5000 principal + $1200 interest) over 4 years. (b) Varies; paying interest is generally ethical, compensating the lender. Loan amount and duration impact interest and commitment.
(a) To calculate the amount repaid, we need to add the principal amount ($5000) to the interest accrued over the 4 years. The simple interest is calculated as I = P * R * T, where P is the principal amount, R is the interest rate (6% or 0.06), and T is the time period (4 years).
Interest accrued = 5000 * 0.06 * 4 = $1200
Amount repaid = Principal amount + Interest accrued = $5000 + $1200 = $6200
The student repays $6200 in total.
(b) Personal experiences and financial arrangements may vary for individuals. Regarding the ethical aspect, it is generally considered fair and ethical to pay interest when borrowing money, as the lender is sacrificing the opportunity cost of utilizing that money elsewhere. The amount and duration of the loan matter as they determine the interest accrued and the level of financial commitment.
Disclosure: As an AI, I don't have personal experiences or engage in financial transactions with family and friends.
To learn more about interest , click here:
brainly.com/question/8100492
#SPJ11
prove that if g is a finite group the index of z(g) cannot be prime
A finite group is a group that has a finite number of elements. Now, let us define the center of a group. The center of a group, denoted by Z(G), is the set of all elements in G that commute with every element in G.
Now, we need to prove that if g is a finite group, the index of Z(g) cannot be prime. We can prove this using contradiction. Suppose the index of Z(g) is prime. Let this prime be denoted by p. This means that the number of distinct left cosets of Z(g) in g is p. Therefore, we can write:
|g/Z(g)| = p
where |g/Z(g)| represents the number of distinct left cosets of Z(g) in g.
Now, we can use the fact that the number of left cosets of a subgroup in a group is equal to the index of that subgroup in the group. Therefore, we can rewrite the above equation as:
|g|/|Z(g)| = p
Multiplying both sides by |Z(g)|, we get:
|g| = p|Z(g)|
Since p is a prime number, it can only be divided by 1 and itself. Therefore, the only possible divisors of p|Z(g)| are 1, p, and |Z(g)|.
Now, since |g| is finite, we know that |Z(g)| cannot be infinite. Therefore, the only possible values for |Z(g)| are positive integers that divide |g|. However, since p is a prime number, |Z(g)| cannot be equal to p. This means that the only possible values for |Z(g)| are 1 and |g|.
If |Z(g)| = 1, this means that Z(g) only contains the identity element. Therefore, g does not have any non-identity elements that commute with every other element in g. This is not possible since every group has at least one element that commutes with every other element in the group - the identity element.
If |Z(g)| = |g|, this means that every element in g commutes with every other element in g. This implies that g is an abelian group. However, this contradicts the fact that g is a finite group that is not abelian.
Therefore, we have reached a contradiction in both cases. This means that our assumption that the index of Z(g) is prime is false. Therefore, if g is a finite group, the index of Z(g) cannot be prime.
Learn more about finite group here:
https://brainly.com/question/29732670
#SPJ11
A flag staff stand on the top of a surtical taver. A.
Sanding shim away from the tower observe that the
angle of te
elevation of the top and bottom of the flag staff are 58
and 56 repectively Find the Length
th of
of the
flag staff
Given that the angle of elevation of the top of the flag staff is 58 degrees and the angle of elevation of the bottom of the flag staff is 56 degrees. Let's denote the length of the flag staff as "L," the height of the tower as "H," and the distance from the observer to the tower as "D."
Step 1: Use the tangent function for both angles.
tan(58) = (H + L) / D
tan(56) = H / D
Step 2: Solve for "H" in terms of "D" in the second equation.
H = D * tan(56)
Step 3: Substitute the expression for "H" from step 2 into the first equation.
tan(58) = (D * tan(56) + L) / D
Step 4: Solve for "L" in terms of "D."
L = D * (tan(58) - tan(56))
Now, you have found the length "L" of the flag staff in terms of the distance "D" from the observer to the tower. Note that without knowing the exact value of "D," you can't find a specific numerical value for "L." However, this formula can be used to find the length of the flag staff once the distance is known.
To know more about angles visit :-
https://brainly.com/question/25716982
#SPJ11
If it wouldn’t bother someone would someone also mind giving me the steps to get the answer?
Answer:
SA = 10,800 ft²
Step-by-step explanation:
To find the surface area of a rectangular prism, you can use the equation:
SA = 2 ( wl + hl + hw )
SA = surface area of rectangular prism
l = length
w = width
h = height
In the image, we are given the following information:
l = 40
w = 60
h = 30
Now, let's plug in the information given to us to solve for surface area:
SA = 2 ( wl + hl + hw)
SA = 2 ( 60(40) + 30(40) + 30(60) )
SA = 2 ( 2400 + 1200 + 1800 )
SA = 2 ( 5400 )
SA = 10,800 ft²
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
4r+5n^2-3r+9-2n-2
Simplify please
Answer: 5n^2−2n+r+7
Step-by-step explanation:
Consider a line process with 3 processing stages. The production requires each unit to go through Stage A through Stage C in sequence. The characteristics of the Stages are given below: Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100% Determine the system capacity. Which stage is the bottleneck? What is the utilization of Stage 3.
The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
A line process has three processing stages with the characteristics given below:
Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%
To determine the system capacity and the bottleneck stage and utilization of Stage 3:
The system capacity is calculated by the product of the processing capacity of each stage:
1 x 1 x 2 = 2 units per minute
The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:
Process time per unit = 1 + 2 + 3 = 6 minutes per unit
Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit
The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.
However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.
Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.
Know more about bottleneck here,
https://brainly.com/question/32590341
#SPJ11
Research has shown that IQ scores have been increasing for years (Flynn, 1984, 1999). The phenomenon is called the Flynn effect and the data indicate that the increase appears to average about 7 points per decade. To examine this effect, a researcher obtains an IQ test with instructions for scoring from 10 years ago and plans to administers the test to a sample of n = 25 of today’s high school students. Ten years ago, the scores on this IQ test produced a standardized distribution with a mean of μ = 100 and a standard deviation σ = 15. If there actually has been a 7-point increase in the average IQ during the past 10 years, then find the power of the hypothesis test for each of the following.
a. The researcher uses a two-tailed hypothesis test with α = .05 to determine if the data indicate a significant change in IQ over the past 10 years.
b. The researcher uses a one-tailed hypothesis test with α = .05 to determine if the data indicate a significant increase in IQ over the past 10 years.
A. The power of the two-tailed hypothesis test with α = .05 is 0.53.
B. The power of the one-tailed hypothesis test with α = .05 is 0.95.
What is hypothesis test?A hypothesis test is used to make decisions about a population based on sample data. It involves specifying a null hypothesis, collecting data, and then assessing the data to either reject or accept the null hypothesis.
A. The power of the two-tailed hypothesis test is calculated using the formula:
Power=
1- β=1- (1-α)\(^{1/2}\)
=1- (1-0.05)\(^{1/2}\)
=0.525
=0.53
This means that the researcher has an 53% chance of correctly rejecting the null hypothesis that there has been no change in the IQ over the past 10 years.
B. The power of the one-tailed hypothesis test is calculated using the formula:
Power=
1- β=1- α
=1- 0.05
= 0.95
This means that the researcher has a 95% chance of correctly rejecting the null hypothesis that there has been no increase in the IQ over the past 10 years.
This is a higher power than the two-tailed test because the one-tailed test focuses on detecting an increase in the IQ, while the two-tailed test can detect both an increase or decrease in the IQ.
For more questions related to null hypothesis
https://brainly.com/question/15980493
#SPJ1
position number 1 6 2 7 3 8 4 9 n ? Consider the sequence in the table. Which formula gives the number that would be in the nth position of the sequence? A) 5n B) 10n C) n + 5 D) n - 5
Answer:
C)
Step-by-step explanation:
Given:
\(a_1=6=1+5\\\\a_2=7=2+5\\\\a_3=8=3+5\\\\a_4=9=4+5\)
\(\implies a_n=n+5\)
d= sqrt ( 2 )^ 2 +( 12 )^ 2
Answer:
d = 146
Step-by-step explanation:
Answer:
d=146
Step-by-step explanation:
the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146
The triangles are similar. Find X.
Answer:
By proportion :-
x/2.8 = 3/2.4
x = 3(2.8)/ 2.4
x= 3.5
Answer: C) 3.5
《OAmalOHopeO》
A forester shows the accompanying histogram of tree diameters he used in analyzing 27 trees in a large woods that was for sale. Was he justified in using a Normal model to analyze the woods? Explain, citing some specific concerns
Choose the correct answer below
A. Yes, because the histogram is unimodal and symmetric.
B. No, because while the histogram is unimodal, it is not symmetric
C. No, because the histogram is not unimodal or symmetric.
D. No, because while the histogram is symmetric, it is not unimodal
Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.
A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.
For more such questions on histogram
https://brainly.com/question/18198700
#SPJ11
Solve for x????helpp
The value of x is 128 degrees, given that two lines intersect at 140 degrees and (x+12) degrees and one of the angles formed by the intersection is (x+12) degrees.
If two lines intersect, the angle formed at the point of intersection is 180 degrees. We are given that the intersection of the two lines creates an angle of 140 degrees. Let's call the other angle formed by the two lines "y". Then we have:
140 degrees + y = 180 degrees
y = 180 degrees - 140 degrees
y = 40 degrees
Now, we are also given that one of the angles formed by the two lines is (x+12) degrees. We can set up an equation using this information:
x + 12 + y = 180 degrees
x + 12 + 40 degrees = 180 degrees
x + 52 degrees = 180 degrees
x = 180 degrees - 52 degrees
x = 128 degrees
Therefore, the value of x is 128 degrees.
To learn more about point of intersection link is here
brainly.com/question/14217061
#SPJ1
Think About the Process The scale for the drawing of a rectangular
playing field is 2 inches = 7 feet. Find an equation you can use to find the
dimensions of the actual field. What are the actual dimensions?
The original dimensions of the field are -
L = (7/2)x
B = (7/2)y
What is function? What is expression?A function is a relationship between a dependent {y} and independent variable {x}.An expression is a combination of terms both constants and variables.Given is that the scale for the drawing of a rectangular playing field is :
2 inches = 7 feet.
We can write the original dimensions of the field as -
L = (7/2)x
B = (7/2)y
Therefore, the original dimensions of the field are -
L = (7/2)x
B = (7/2)y
To solve more questions on scale factor, visit the link -
brainly.com/question/30098550
#SPJ1
i need help i don’t understand this
A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of _______.
A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate
What is a rate?
A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.
It is also the measure of a part with respect to a whole or a proportion.
Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate
Learn more about rate here:
https://brainly.com/question/19493296
#SPJ12
How do I solve this problem?
QR has a length of 2√3. According to the given question
HOW TO CALCULATE THE SIDE OF THE SQUARE ?
In order to solve for QR, we need to use the information given to us in the problem and apply some basic geometry concepts.
First, we know that the diagonals of a square are perpendicular bisectors of each other, meaning they intersect at a 90-degree angle and divide each other in half. This tells us that the length of the diagonal is equal to the square root of two times the length of one of the sides of the square, or d = s√2.
Next, we are given that the midpoint of one of the diagonals is point U, and that US has a length of 3. Because U is the midpoint of the diagonal, we know that SU and UR are equal in length. Let's call this length x.
Now we can use the Pythagorean theorem to solve for x:
(US)²+ (UR)² = (SR)²
3²+ x= (s√2)²
9 + x² = 2s²
We also know that SU and UR are each equal to x, so:
2x² = s²
We can substitute 2x² for s² in the previous equation:
9 + x² = 2(2x²)
9 + x²= 4x²
3x² = 9
x² = 3
x = √3
Now we can use x to solve for the length of QR:
QR = 2x = 2√3
Therefore, QR has a length of 2√3.
To know more about diagonal visit :-
https://brainly.com/question/27341413
#SPJ1