Answer:
C) 13
Step-by-step explanation:
f(x) = 5x -2
f(3) = 5(3) -2
f(3) = 15 - 2
f(3l) = 13
The table displays the scores of students on a recent exam. Find the mean of the scores to the nearest 10th.
Mean of the data = 83.92
Mean of data:The term "mean" refers to the average of the data and is derived by dividing the total number of data observations in the data by the total number of observations.
It is a data point that represents the average of all the data points in the collection. The most popular and commonly applied approach in statistics for determining the middle of a data collection is the mean.
Here given data is
No of students(f\(_{i}\)) 4 3 9 2 3 3 4
Score (x\(_{i}\)) 70 75 80 85 90 95 100
f\(_{i}\) x\(_{i}\) 280 225 720 170 270 285 400
The formula for the mean of the data is given by
∑ f\(_{i}\) x\(_{i}\) / ∑f\(_{i}\)=> ∑ f\(_{i}\) x\(_{i}\) = 280 + 225 + 720 + 170 + 270 + 285 + 400 = 2350
=> ∑f\(_{i}\) = 4 + 3 + 9 + 2 + 3 + 3 + 4 = 28
=> Mean of the data = 2350/28 = 83.92
Therefore,
The Mean of the data = 83.92
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the square root of $x$ is greater than 3 and less than 4. how many integer values of $x$ satisfy this condition?
6 integers that satisfy the given condition are 10,11,12,13,14,15.
Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size
we have the number X
Of which the square root is greater than 3 and less than 4
so,
\(3 < \sqrt{X} < 4\)
on squaring both sides
\(3^2 < (\sqrt{X})^{2} < 4^2\)
\(9 < X < 16\)
so the integer that satisfies the condition is 10,11,12,13,14,15.
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Answer:
6
Step-by-step explanation:
Because 4 > √x > 3, we know that 16 > x > 9. Thus, the integers from 10 to 15 inclusive satisfy this inequality, which means 6 integers satisfy the condition in the problem.
A seventh-grade class 13 boys and 17 girls. Ms.King randomly choose one student to be the line leader. Which is the probability that a girl will be the line leader?
Answer: i hope it helps
In a class of 30 students, there are 17 girls and 13 boys. Five are A students, and three of these students are girls. If ... ... If a student is chosen at random, what is the probability of choosing a girl or an A student? ... I thought it would be B because we need to minus 3/30 probably that's both girl and A student.
Step-by-step explanation:
50 Pts!! Brainliest!! Answer ASAP, pls. Thx.
Answer:
Choice A
Step-by-step explanation:
First, let's simplify the equation. We get \(\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }\) . Then, we can simplify. We now have \(\frac{3^{-3}m^{5} }{6n}\) . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get \(\frac{m^{2} }{6nx3^{3} }\). Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have \(\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}\)
Answer:
m^5/ 162 n
Step-by-step explanation:
( 3 m^-2 n) ^-3 / (6mn^-2)
We know a^ -b = 1/ a^b
1 / ( 3 m^-2 n) ^3 *(6mn^-2)
Distribute the power of 3
1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)
We know a^ b^ c = a^ ( b*c)
1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)
1 / ( 27 m^( -6) n^3) * ( 6m n^-2)
We know a^b * a^c = a^ ( b+c)
1 / ( 27*6 m^( -6+1) n^(3-2))
1/ (162 m^ -5 n^1)
We know a^ -b = 1/ a^b
m^5/ 162 n
Two matchsticks have the same length as three bottle tops. How many bottle tops will have the same length as 50 matchsticks?
What is the simplified form of the following expression? 2 startroot 18 endroot 3 startroot 2 endroot startroot 162 endroot
The simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
What is the simplified form of an equation?The simplified form of an equation is the simplest way of expressing the equation, by applying the required operations of mathematics.
The equation provided in the problem is,
\(2\sqrt{18}+3\sqrt{2}+\sqrt{162}\)
Let the simplified form of the above expression is n. Thus,
\(n=2\sqrt{18}+3\sqrt{2}+\sqrt{162}\)
Rewrite the equation to solve it further as,
\(n=2\sqrt{3\times3\times2}+3\sqrt{2}+\sqrt{9\times9\times2}\\n=2\sqrt{3^2\times2}+3\sqrt{2}+\sqrt{9^2\times2}\)
The square of the term cancel out the square root of it. Thus,
\(n=2\times3\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=6\sqrt{2}+3\sqrt{2}+9\sqrt{2}\\n=(6+3+9)\sqrt{2}\\n=18\sqrt{2}\)
Thus, the simplified form of the provided expression of 2 startroot 18 endroot +3 startroot 2 endroot startroot +162 endroot is 18√2.
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Please help, i´m timed!
Answer: 6/49 positive not negative
Step-by-step explanation:
For this question, write all four possible proportions used to solve. jamie can text 312 words in 4 minutes. at this rate, how many words can jamie text in 15 minutes?
Jamie can text 11,702 words in 15 minutes found using the Cross-multiply method, found using the concept of proportions.
To find how many words can Jamie text in 15 minutes, we can use the concept of proportions. Here are the four possible proportions we can use to solve the problem:
1. Let's assume that x is the number of words Jamie can text in 15 minutes.
So, the proportion can be set up as:
312 words / 4 minutes = x words / 15 minutes
Cross-multiply the proportion to solve for x, we have:
312 × 15 = 4 × x
x = (312 × 15) / 4
= 1170
2. Let's assume that y is the number of minutes required by Jamie to text 312 words.
So, the proportion can be set up as:
y minutes / 312 words = 4 minutes / 1 word
Cross-multiply the proportion to solve for y, we have:
y = (312 × 4) / 1
= 1248
3. Let's assume that z is the number of minutes required by Jamie to text x words.
So, the proportion can be set up as:
312 words / 4 minutes = x words / z minutes
Cross-multiply the proportion to solve for z, we have:
312 × z = 4 × x
x = (312 / 4) × z = 78
z = 78 / x
4. Let's assume that w is the number of words Jamie can text in 1 minute. So, the proportion can be set up as:
312 words / 4 minutes = w words / 1 minute
Cross-multiply the proportion to solve for w, we have:
312 = 4w
w = 78
Therefore, Jamie can text 11,702 words in 15 minutes.
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Jamie can text 1170 words in 15 minutes.
To find out how many words Jamie can text in 15 minutes, we can set up a proportion using the given information.
The proportion can be set up as follows:
312 words / 4 minutes = x words / 15 minutes
To solve this proportion, we can cross-multiply and then solve for x.
(312 words) * (15 minutes) = (4 minutes) * x words
4680 words = 4x
To isolate x, we can divide both sides of the equation by 4:
4680 words / 4 = 4x / 4
1170 words = x
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Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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PLEASE HELP DUE IN 30 MINUTES!!!!!30POINTS
Answer:
I'm going to say B, but I may be wrong. Good Luck
Step-by-step explanation:
Find the measure of each exterior angle of the polygon.
The measure of each exterior angle is
°.
Answer:
below
Step-by-step explanation:
The INTERIOR angles of a n-gon sum to ( n-2)(180)
for an octogon (8-2)(180) = 1080 °
so each INTERIOR angle = 1080 / 8 = 135°
Exterior angles are supplementary to this 135 + x = 180 x = 45°
Another easier way exterior angles sum to 360
360 / 8 = 45°
(PICTURE PROVIDED)
HELPPPPPPP PLS
A: 5/4
B: 3/2
C: 6/5
D: 2/3
Answer:
I think its 6/5 or 2/3
Step-by-step explanation:
Answer:
1. A
2. C
3. D
4. C
5. D
Step-by-step explanation:
You're welcome
Find the area of the triangle defined by the coordinates (-3,-4), (-7,0), and (-3,4).
A)
10 square units
B)
12 square units
14 square units
D)
16 square units
Reliable ______ are what make your research paper solid and strong. Make sure to find the best sources for your project.
Reliable sources are what make your research paper solid and strong.
Reliable sources are crucial in ensuring that your research paper is solid and strong. It is important to conduct thorough research and choose only the most credible sources to support your arguments and ideas. By utilizing high-quality sources, you can add depth and validity to your work, ultimately leading to a more impactful and successful paper.
A reliable source is America's Sunday morning talk show on CNN from 1992 to 2022, focusing on analysis and commentary on American media. It airs at CNN's WarnerMedia Studios in New York City from 11:00 AM to 12:00 PM ET. He also broadcasts internationally on CNN International.
This program was originally designed to analyze media coverage of the Persian Gulf War, but has since focused on media coverage of the Valerie Prime incident, the Iraq war, Mark Felt's trip as the Deep Throat, and many other things and internal information. On August 18, 2022, CNN canceled the show and host Brian Settler announced he was leaving the network. The final episode will air on August 21, 2022.
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Was there any way of reconciling the republican desire for equality for the ex-slaves with the
ex-confederate desire for self-rule in the south?
Reconciling the Republican desire for equality for ex-slaves with the ex-Confederate desire for self-rule in the South was a significant challenge during the post-Civil War Reconstruction era.
Despite efforts to find common ground, the conflicting interests and deep-rooted divisions often made reconciliation difficult to achieve. The Republican Party aimed to ensure equality for ex-slaves through measures such as the Reconstruction Amendments, which granted civil rights and voting rights to African Americans. However, many ex-Confederates resisted these efforts, as they viewed them as an infringement on their right to self-rule and local autonomy. The concept of equality clashed with the ex-Confederate desire to maintain their social and political dominance in the South.
Various attempts were made to reconcile these conflicting desires, including the formation of biracial governments in some Southern states and the implementation of policies aimed at fostering cooperation and unity. However, these efforts faced significant resistance and were often undermined by persistent racial tensions, violence, and political maneuvering. Ultimately, the challenge of reconciling these competing interests highlighted the deep-seated divisions and difficulties in achieving a harmonious balance between equality for ex-slaves and the desire for self-rule in the post-Civil War South.
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The figure below is dilated by a factor of 1/3 centered at the origin. Plot the resulting image. please helllpppp
The graph at the end of the response provides the dilated figure, which has the same format as the original figure but reduced side lengths as a result of the dilation with a scale factor of less than 1.
What is dilation?To make an opening or hollow structure wider or larger than usual, such as a blood vessel or the pupil of an eye.
The process of dilation entails growing an object's size without changing its shape.
The size of the object may rise or decrease depending on the scale factor.
Using dilation maths, a square with a side of 5 units can be made wider to have a side of 15 units, yet the square retains its original shape.
So, the coordinates of each vertex of the figure are multiplied by the scale factors to create a dilatation in the image.
The vertices for the original figure that was graphed are listed as follows:
I(0,6).
H(3,6).
G(9,0).
F(-6,-9).
E(-6,-6).
The coordinates of the resulting image are presented as follows since the dilation has a scale factor of 1/3, which means that the coordinates are multiplied by 1/3:
I'(0,2).
H'(1,2).
G'(3,0).
F'(-2,-3).
E'(-2,-2).
Therefore, the graph at the end of the response provides the dilated figure, which has the same format as the original figure but reduced side lengths as a result of the dilation with a scale factor of less than 1.
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Correct question:
The figure below is dilated by a factor of centered at the origin. Plot the resulting image. -109 -11 E Click twice to plot a segment. Click a segment to delete it. 4 -5 7 F A -9 10 9 B 4 I d 3 P BI 1 9 H 3 4 6 6 M
8. Space Probe In 1989, the space probe Magellan was launched. It
traveled toward the planet Venus at a speed of about 25,000 miles
per hour. How far did Magellan travel in one day?
Answer:
It traveled 600,000 miles in one day
Berechne jeweils die Höhe der Pyramiden!
a) V = 140 cm3
G = 28 cm2
h = ?
Answer:
untere Tabelle gibt an, wie Oberfläche und Volumen der Pyramide berechnet werden. Grundsätzlich gilt:
Oberfläche = Grundfläche + Mantelfläche
Volumen = Grundfläche · Pyramidenhöhe : 3
Generell ist darauf zu achten, dass mit unterschiedlichen Höhenangaben gerechnet wird. Für die Berechnung der Oberfläche wird die Höhe der schrägliegenden Seitendreiecke benötigt (Grafik unten: ha; hb). Für die Berechnung des Volumens wird die Höhe der Pyramide benutzt (Grafik unten: h).
JSXGraph v0.95 Copyright (C) see http://jsxgraph.org
ha = 5.83 cm
h = 5.00 cm
a = 6.00 cm
b = 6.01 cm
hb = 5.83 cm
V = 60.10 cm³
Ap = 106.11 cm²
AM = 70.05 cm²
AG = 36.06 cm²
– o + ← ↓ ↑ →
rechteckige Grundflächequadratische GrundflächeOberfläche = Grundfläche + Mantelfläche
OP = AG + AMOP = a · b + a · ha + b · hbOP = a² + a · ha · 2 Volumen = Grundfläche · h : 3
VP = AG · h : 3
VP = a · b · h : 3VP = a² · h : 3
Step-by-step explanation:
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help me pleaseeeeeeeee
Answer:
20 square yards
Step-by-step explanation:
Perimeter is l + l + w + w or 2l + 2w
Because these rectangles have the same perimeter they are equal.
Set them equal in an equation
2(9) + 2(3) = 2(l) + 2(2)
Simplify
18 + 6 = 2l + 4
24 = 2l + 4
Subtract 4 from both sides to isolate the variable l
20 = 2l
Divide both sides by 2
10 = l
So the length of the purple triangle is 10 yd
Area = l x w
Substitute in the values of the purple triangle
Area = 10 x 2
Area = 20 square yards
a card is selected from a standard deck and replaced. this experiment is repeated a total of five times. find the probability of selecting exactly three clubs. a. identify a trial, a success, and a failure. b. identify n,p,q,and x. c. use the binomial probability formula.
The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.
What is the binomial probability formula?The binomial probability formula is
P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)
Where n is the number of trials, p i is the probability of success, and q is the probability of failure.
And q = 1 - p
Calculation:It is given that, a card is selected from a standard deck and replaced.
This experiment has repeated a total of five times. i.e., trials n = 5
So, the probability of success is p = 1/4 = 0.25
(Since one card is to be selected from the five trials where each time the card is replaced)
Then, the probability of failure is q = 1 - 0.25 = 0.75
And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.
Then, using the binomial probability formula, we get
P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾
⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878
On rounding off, we get the required probability as 0.088.
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Ravi square-rooted a fraction using his calculator and got 6 1/4. Without using a calculator, determine the improper fraction he started with.
Ravi started with the improper fraction 25/4.
What is an improper fraction?
An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). For example, 7/4 is an improper fraction because the numerator 7 is greater than the denominator 4.
To solve this problem, we need to work backwards from the mixed number 6 1/4 to the improper fraction that Ravi started with.
The whole number part of the mixed number, 6, represents six groups of the denominator. The fractional part, 1/4, represents one quarter of the denominator. So the mixed number 6 1/4 can be represented as:
6 + 1/4 = 6 x 4/4 + 1/4 = 24/4 + 1/4 = 25/4
Hence, Ravi started with the improper fraction 25/4.
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Which of the options below correctly orders the lengths from smallest to largest? - 10-³m < 1 cm < 10,000 m < 1 km - 10-³ m < 1 cm < 1 km < 10,000 m - 1 cm < 10-³m < 1 km < 10,000 m - 1 km < 10,000 m < 1 cm < 10-³m
The correct option that orders the lengths from smallest to largest is: 10-³ m < 1 cm < 1 km < 10,000 m.
Length is a physical quantity that is measured in meters (m) or its subunits like centimeters (cm), millimeters (mm), or in kilometers (km) and also in its larger units like megameter, gigameter, etc.
Here, the given options are:
- 10-³m < 1 cm < 10,000 m < 1 km
- 10-³m < 1 cm < 1 km < 10,000 m
- 1 cm < 10-³m < 1 km < 10,000 m
- 1 km < 10,000 m < 1 cm < 10-³m
The smallest length among all the given options is 10-³m, which is a millimeter (one-thousandth of a meter).
The second smallest length is 1 cm, which is a centimeter (one-hundredth of a meter).
The third smallest length is 1 km, which is a kilometer (one thousand meters), and the largest length is 10,000 m (ten thousand meters), which is equal to 10 km.
Hence, the correct option that orders the lengths from smallest to largest is 10-³ m < 1 cm < 1 km < 10,000 m.
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You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. Treatment A Treatment B Treatment C 33 43 33 29 44 36 29 44 35 27 46 36 32 48 40 Sample mean 30 45 36 Sample variance 6.00 4.00 6.50 (a) At the = 0.05 level of significance, can we reject the null hypothesis that the means of the three treatments are equal? (b) Use Fisher's LSD procedure to test whether there is a significant difference between the means for treatments A and B, treatments A and C, and treatments B and C. Use = 0.05. (c) Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the means of treatments A and B.
(a) To determine if we can reject the null hypothesis that the means of the three treatments are equal, we can perform an analysis of variance (ANOVA) test. The test compares the variability between the treatment groups to the variability within the groups. The null hypothesis assumes that the means are equal, while the alternative hypothesis assumes that at least one mean is different. At the significance level of α = 0.05, we compare the calculated F-statistic to the critical F-value from the F-distribution with appropriate degrees of freedom. If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. To perform this test, we need the sample means, sample variances, and sample sizes for each treatment group.
(b) Fisher's Least Significant Difference (LSD) procedure is used to test for significant differences between pairs of treatment means. The procedure calculates the LSD, which is the minimum difference required between two means to be considered statistically significant. We compare the absolute difference between two means to the LSD. If the absolute difference is greater than the LSD, we can conclude that there is a significant difference between the means. To perform this test, we need the sample means, sample variances, and sample sizes for the treatment groups.
(c) Fisher's LSD procedure can also be used to develop a confidence interval estimate of the difference between the means of treatments A and B. The confidence interval provides a range of values within which the true difference between the means is likely to fall. To calculate the confidence interval, we use the LSD, the sample means, sample variances, and sample sizes for treatments A and B. Using the formula for the confidence interval, we can determine the lower and upper bounds of the interval.
Please provide the sample sizes for each treatment group, as they are necessary for the calculations.
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Help pls i need it ty
Answer:
y=(-1/4)x+(-6)
Step-by-step explanation:
Looking at the graph the y-intercept is at -6 and the line appears to go down as x increases by -1/4 where -rise/run.
Suppose that the spot rate for the euro is $1.4700 and with a forward premium of 6.00%
Which of the following most closely approximates the implied forward rate of the euro in this situation?
A. -$0.0016
B. $1.5582
C. -$0.0047
D -$0.0031
The implied forward rate of the euro in this situation is most closely approximated by option B, which is $1.5582.
The spot rate for the euro is given as $1.4700. The forward premium is 6.00%. To calculate the implied forward rate, we need to add the forward premium to the spot rate.
The forward premium is given as a percentage, so we need to convert it to a decimal by dividing it by 100. In this case, 6.00% is equal to 0.06.
To calculate the implied forward rate, we add the forward premium to the spot rate:
Implied Forward Rate = Spot Rate + Forward Premium
= $1.4700 + ($1.4700 * 0.06)
= $1.4700 + $0.0882
= $1.5582
Therefore, the option B, $1.5582, most closely approximates the implied forward rate of the euro in this situation.
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find the perimeter of (-4,2) (2,10) (2,2)
Answer:
THE THE YON 21 70 10 12030
whats the equation ??
Answer:
the equation is 10 + -3x = y
A cylinder has a height of 6 cm and a circumference of 10 cm. What is the volume of the cylinder?
Answer:
≈ 471 cm^3
Step-by-step explanation:
V = πr^2h
V = 3.14·5^2·6
V = 3.14·25·6
V ≈ 471 cm^3
PLEASE HELP
Find the probability of “landing” in the shaded region of the figures below.
Answer:
Hello,
p=0.1024
Step-by-step explanation:
The probability is the ratio of the areas of the 2 circles:
\(p=\dfrac{\pi*8^2}{\pi*25^2} =\dfrac{64}{625} =0.1024\)
Answer:
64/625.
Step-by-step explanation:
Probability = area of small circle / area of the large one
= 8^2 / 25^2
= 64/625
The area of a rectangular garden is 96 square feet. The width is 4 feet less than the length. What is the length of the garden?
9514 1404 393
Answer:
12 ft
Step-by-step explanation:
We can let x represent the average of length and width. Then the length is x+2, and the width is x-2. Then the area is ...
(x +2)(x -2) = 96
x^2 = 100
x = √100 = 10
The length is x+2, so ...
the length of the garden is 12 feet.