Answer:
-x
Step-by-step explanation:
8x - 9x
Factor out an x
x(8-9)
x (-1)
-x
Each student in a statistics class had a randomly assigned bag of candies and counted the number of each color (Blue, Red, Orange, Green, Brown, Yellow). The bags were all the same size. The investigators claimed to use a randomized block design, with Bag as the blocking factor. They counted the number of candies of each color in each bag. Their results are reproduced in the given ANOVA output. Complete parts (a) through (c).
Source Degrees Sum of Mean F-ratio P-value
of Freedom Squares Square
Bag 13 4.726 0.364 0.10 1.000
Color 6 350.679 70.136 18.72 <0.001
Error 65 243.488 3.746
Total 83 598.893
(a) Was this an observational or experimental study?
(b) What was the treatment? What factors were manipulated?
A. The factors were color and bag and the treatments were all possible combinations of those two factors.
B. The factors were bag and student and the treatments were all possible combinations of those two factors.
C. The factors were color and student and the treatments were all possible combinations of those two factors
D. There is no treatment. No factors were manipulated.
(c) What was the response variable?
Answer:
Step-by-step explanation:
Hello!
a)
An observational study is one where the investigator has no control or intervenes on it. He just defines the variable of interest and merely collects and documents the information. These types of studies are usually made as precursors to a more formal experimental study, to have an idea of what's to be expected from the population.
An experimental study or experiment is one where the investigator intervenes by defining the variable of interest and artificially manipulates the study factor. It is also one of its characteristics the randomization of cases or subjects in groups (two or more, depending on what is the hypothesis of study).
In this example, the investigators used a randomized block design with "Bag" as the blocking factor and assigned the bags randomly to the students of the statistic class.
The researchers manipulated all confounding factors in this experiment leaving only "the number of candies per color per bag" as the only random variable. This is an experimental study.
b)
This is an ANOVA with two factors, "Bag" and "Colour" and the treatments are all possible combinations between these two factors.
Correct Option A.
c) The response variable is the "number of candies per color per bag"
Colors: Blue, Red, Orange, Green, Brown and Yellow.
I hope you have a nice day!
Two figures are arranged as shown. Which of the following can be used to find the area of the figure shaded light gray.
Answer:
9² − x²
x(9-x)+9(9-x)
Step-by-step explanation:
The area of the shaded light gray square =
= the area of the whole square - the area of the shaded dark gray square
= 9² - x²
since x(9-x)+9(9-x) = 9x - x² + 9² - 9x = 9² - x²
then x(9-x)+9(9-x) is also a right answer.
Answer:
The answer is 9² - x² and x(9 - x) + 9(9 - x)
Step-by-step explanation:
Here, In a Figure, two square is given first which is small and shaded dark gray and second which is big and shaded light gray.
Now, For area of Small Square.
Length (l) = x
A = l²
A = (x)²
A = x²
Now, For area of Big Square.
Length (l) = 9
A = l²
A = (9)²
A = 81
Then, To find are of Shaded light gray square
Area of Big Square - Area of Small Square.
9² - x²
Thus, The answer is 9² - x² and
x(9 - x) + 9(9 - x)
-TheUnknownScientist
A virus has infected 400 people in the town and is spreading to 25% more people each day. Write an exponential function to model this situation, then find the number of people that will be infected in 10 days. Is this growth or decay?
We have been given that a virus has infected 400 people in the town and is spreading to 25% more people each day. We are asked to write an exponential function to model this situation.
Since the number of infected people is increasing, so our model will be exponential growth model.
An exponential growth function is in form [tex]y=a(1+r)^x[/tex], where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.
Let us convert 25% into decimal form.
[tex]25\%=\frac{25}{100}=0.25[/tex]
The initial number of infected people is [tex]400[/tex], so our function would be [tex]y=400(1+0.25)^x[/tex].
[tex]y=400(1.25)^x[/tex]
To find the number of infected in 10 days, we will substitute [tex]x=10[/tex] in our given formula as:
[tex]y=400(1.25)^{10}[/tex]
[tex]y=400(9.3132257461547852)[/tex]
[tex]y=3725.290298\approx 3725[/tex]
Therefore, there will be approximately 3725 infected people in 10 days.
The number of people that will be infected in 10 days is approximately 3725. This represents exponential growth.
Step 1
To model the spread of the virus using an exponential function, we start with the initial number of infected people and the daily growth rate. The exponential growth formula is:
[tex]\[ P(t) = P_0 \times (1 + r)^t \][/tex]
Where:
- [tex]\( P(t) \)[/tex] is the number of people infected after t days
- [tex]\( P_0 \)[/tex] is the initial number of infected people
- [tex]\( r \)[/tex] is the growth rate
- t is the time in days
Given:
- Initial number of infected people, [tex]\( P_0 = 400 \)[/tex]
- Daily growth rate, r = 0.25 (since 25% more people are infected each day)
The exponential function becomes:
[tex]\[ P(t) = 400 \times (1 + 0.25)^t \][/tex]
[tex]\[ P(t) = 400 \times (1.25)^t \][/tex]
Step 2
To find the number of people infected in 10 days [tex](\( t = 10 \))[/tex]:
[tex]\[ P(10) = 400 \times (1.25)^{10} \][/tex]
Calculating this:
[tex]\[ P(10) = 400 \times (1.25)^{10} \][/tex]
Using a calculator:
[tex]\[ (1.25)^{10} \approx 9.3132 \][/tex]
[tex]\[ P(10) = 400 \times 9.3132 \approx 3725.28 \][/tex]
So, the number of people infected in 10 days is approximately 3725.
Matching angles are called
Answer:
Corresponding Angles.
Step-by-step explanation:
When two lines are crossed by another line (called the Transversal): The angles in matching corners are called Corresponding Angles.
The weights of soy patties sold by a diner are normally distributed. A random sample of 25 patties yields a mean weight of 4.2 ounces with a sample standard deviation of 0.5 ounces. At the 0.05 level of significance, perform a hypothesis test to see if the true mean weight is less than 4 ounces. What is the correct calculated value of the test statistic?
Answer:
[tex]t=\frac{4.2-4}{\frac{0.5}{\sqrt{25}}}=2[/tex]
The degrees of freedom are given by:
[tex] df =n-1=25-1=24[/tex]
And the p value would be given by:
[tex] p_v = P(t_{24}>2) =0.0285[/tex]
And since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case is significantly hiher than 4. And the claim for this case is not appropiate
Step-by-step explanation:
Data provided
[tex]\bar X=4.2[/tex] represent the sample mean for the weigths
[tex]s=0.5[/tex] represent the sample standard deviation
[tex]n=25[/tex] sample size
[tex]\mu_o =4[/tex] represent the value that we want to analyze
[tex]\alpha[/tex] represent the significance level for the hypothesis test.
t would represent the statistic
[tex]p_v[/tex] represent the p value for the test
System of hypothesis
We want to conduct a hypothesis in order to check if the true mean weigth is less than 4 or not, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 4[/tex]
Alternative hypothesis:[tex]\mu > 4[/tex]
The statistic for this case is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{4.2-4}{\frac{0.5}{\sqrt{25}}}=2[/tex]
The degrees of freedom are given by:
[tex] df =n-1=25-1=24[/tex]
And the p value would be given by:
[tex] p_v = P(t_{24}>2) =0.0285[/tex]
And since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case is significantly hiher than 4. And the claim for this case is not appropiate
Similarities between inferential and descriptive statistics
Final answer:
Descriptive and inferential statistics both analyze research data and are used together in scientific studies to summarize, describe, and make predictions about a population based on sample data.
Explanation:
Understanding the similarities between descriptive statistics and inferential statistics is fundamental in scientific investigations. Although these two types of statistics serve different purposes, they share some common ground. Both are used to analyze data collected from a research study and help in making decisions or drawing conclusions about that data.
Descriptive statistics summarize and describe the main features of a dataset. Common descriptive measures include the mean, median, mode (measures of central tendency), and the range, standard deviation, and variance (measures of dispersion). On the other hand, inferential statistics use a random sample of data from a population to make inferences about the overall population. It includes various hypothesis tests and confidence intervals to determine the probability of the occurrence of a particular event.
Both descriptive and inferential statistics rely on the same underlying data collection principles and are often used in tandem. Descriptive statistics generally precede inferential statistics in the data analysis process, providing a foundation for further analysis. Moreover, they both employ graphical and numerical methods to present and summarize data, ensuring the findings are communicated in a clear and easily understood manner.
Ultimately, understanding both types of statistics allows researchers to accurately describe, summarize, and make predictions or generalizations regarding their data, which are crucial steps in any scientific study.
a. The number 86,362,575 rounded to the nearest hundred is
Answer:
86362600
Step-by-step explanation:
We want to round to the hundreds place
We look at the 7 in the tens place. Since it is 5 or greater we round up
86,362,575 round to 86362600
Answer:
86,362,600
Step-by-step explanation
Write the equation in its equivalent exponential form: log5 25=2
f(1) = -16
f(n) = f(n-1) · (-1/2)
f(3) =
Answer:
-4
Step-by-step explanation:
Use the given value of f(1) to find f(2):
f(2) = f(1) · (-1/2) = (-16)(-1/2) = 8
Now, we can find f(3) using f(2):
f(3) = f(2) · (-1/2) = (8)(-1/2)
f(3) = -4
how is adding 6+3 like adding 60+30
Answer:
because your just adding a zero at the end.
Step-by-step explanation:
Adding 6+3 is like adding 60+30 because both utilize the place value system and the commutative property of addition where units are added to units and tens to tens, respectively.
The question of adding 6+3 is similar to adding 60+30 due to the property of place value and the commutative property of addition. In both cases, you are adding units that are consistent within their respective places. In single-digit addition, such as 6+3, you are adding units to units. Similarly, in the addition of multi-digit numbers like 60+30, you are adding tens to tens. This is much like the property A+B=B+A, which holds true for ordinary numbers, meaning you'll get the same result regardless of the order in which you add them.
The average speed of a baseball line drive is 83 miles per hour. Josiah practiced a new technique to improve his hitting speed. His coach recorded the speed of 42 random hits during practice and found that his average speed using the new technique was 84.2 miles per hour, with a standard deviation of 4.7 miles per hour. Part A: State the correct hypotheses Josiah is trying to prove the new technique is an improvement over the old technique. (4 points) Part B: Identify the correct test and check the appropriate conditions. (6 points)
Answer:
We conclude that the new technique is not an improvement over the old technique at 5% level of significance.
Step-by-step explanation:
We are given that the average speed of a baseball line drive is 83 miles per hour.
His coach recorded the speed of 42 random hits during practice and found that his average speed using the new technique was 84.2 miles per hour, with a standard deviation of 4.7 miles per hour.
Let [tex]\mu[/tex] = true average speed using the new technique.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 83 miles per hour {means that the new technique is not an improvement over the old technique}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 83 miles per hour {means that the new technique is an improvement over the old technique}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample average speed using the new technique = 84.2 mph
s = sample standard deviation = 4.7 mph
n = sample of hits = 42
So, the test statistics = [tex]\frac{84.2-83}{\frac{4.7}{\sqrt{42} } }[/tex] ~ [tex]t_4_1[/tex]
= 1.655
The value of t test statistics is 1.655.
Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical value of 1.6832 at 41 degree of freedom for right-tailed test.
Since our test statistic is less than the critical value of t as 1.655 < 1.6832, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the new technique is not an improvement over the old technique.
A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes. The population standard deviation was 12 minutes. Construct a 95% confidence interval for the average time that a commercial flight of under 2 hours is late. What is the point estimate? What does the interval tell about whether the average flight is late?
Answer:
The best point of estimate for the true mean is:
[tex]\hat \mu = \bar X = 2.55[/tex]
[tex]2.55-1.96\frac{12}{\sqrt{76}}=-0.148[/tex]
[tex]2.55+1.96\frac{12}{\sqrt{76}}=5.248[/tex]
Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.
Step-by-step explanation:
Information given
[tex]\bar X=2.55[/tex] represent the sample mean for the late time for a flight
[tex]\mu[/tex] population mean
[tex]\sigma=12[/tex] represent the population deviation
n=76 represent the sample size
Confidence interval
The best point of estimate for the true mean is:
[tex]\hat \mu = \bar X = 2.55[/tex]
The confidence interval for the true mean is given by:
[tex]\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex] (1)
The Confidence level given is 0.95 or 95%, th significance would be [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got [tex]z_{\alpha/2}=1.96[/tex]
Replacing we got:
[tex]2.55-1.96\frac{12}{\sqrt{76}}=-0.148[/tex]
[tex]2.55+1.96\frac{12}{\sqrt{76}}=5.248[/tex]
Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.
evaluate the expression
1. b ÷ 2.4; b = 16.8
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex] \frac{b}{2.4} \\ \frac{16.8}{2.4} \\ = 7[/tex]
42.23
Which inequality has -12 in its solution set?
A
B
C
D
Answer:
a
Step-by-step explanation:
Step-by-step explanation:
Simple
x + 6 < - 8
x < - 8 - 6
x < - 14
x + 4 > - 8
x > - 8 - 4
x > - 12
Option B is the correct answer
Write the equation of a line that passes through the point (4,2) and has a
slope of 3.
Answer:
y = 3x - 4
Step-by-step explanation:
Start with your point-slope formula which is shown at the
top of the image that is provided below.
Then, plug in your appropriate values for the ordered pair (4, 2).
Now, simplify.
First distribute.
Then add 2 to both sides.
This leaves you with y = 3x - 10.
All my work is in the image attached.
Factor the expressions.
x2 + 25x + 24 =
Answer:
(x +1)(x +24)
Step-by-step explanation:
Factors of 24 that have a sum of 25 are 1 and 24. These are the constants you need in the binomial factors:
x^2 +25x +24 = (x +1)(x +24)
A rectangular field is 0.3 kilometers long and 0.15 kilometers wide. What is the area of the field in square meters?
Final answer:
To find the area of the rectangular field in square meters, convert the dimensions from kilometers to meters and then multiply them together, resulting in 45,000 square meters.
Explanation:
To calculate the area of a rectangular field that is 0.3 kilometers long and 0.15 kilometers wide, use the following steps:
Convert the dimensions from kilometers to meters. Since there are 1,000 meters in a kilometer, the length in meters is 0.3 km × 1,000 = 300 meters and the width is 0.15 km × 1,000 = 150 meters.Multiply the length and width in meters to get the field's area in square meters. So the area is 300 m × 150 m = 45,000 square meters.WHO IS GREAT AT MATH!!! PLEASEE HELPP MEE IN MATH WITH THIS PROBLEM PLEASEEE!!!! I need assistance!!! WILL BE MARKING BRAINLIEST FOR A REWARD BECAUSE PEOPLE PUT RANDOM ANSWERS TO JUST GET THE POINTS BUT ANYWAY PLEASEEEE PLEASEEE PLEASEE HELPP MEEEE!!!!!!!!!
Answer:
x=32, y=36, and z=25
Step-by-step explanation:
There are only two sums the equations can all add up to, 67 degrees and 113 degrees. I know that to the equation with x is equal to 67 degrees.
2x+3=67
2x=64 (subtract 3)
x=32 (divide by 2)
Now to find the measurement of the other angle, we subtract 180 and 67 since the measurement of a line is 180 degrees.
180-67=113
The equations of y and z are both equal to 113.
3y+5=113 4z+13=113
3y=108 (subtract 5) 4z=100 (subtract 13)
y=36 (divide by 3) z=25 (divide by 4)
I=$54, P=$900, t=18 months
Answer:
about $982.20
Step-by-step explanation:
Formula = P(1+I)^T
T =18/12 because its in months not years, so 1.5 years
1+I = 1 + 54/900 or 1.03
P = 900
Plug those in and you get about 982.20
Answer:
4%
Step-by-step explanation:
For the simple interest rate,
I=P(i)t
54=900(i)(18/12)
i=54/900*(12/18)=4% annually
What is the circumference of the following circle? if radius is 2
Known :
r = 2
Asked :
C = ...?
Answer :
C = 2πr
= 2 × 3.14 × 2
= 12.56
So, tge circumference of circle is 12.56
Hope it helpful and useful :)
Answer:
[tex]4\pi[/tex]
Step-by-step explanation:
The equation for the circumference of a circle is 2[tex]\pi[/tex]r. I remember it as Cherry Pies Are (r) Square. If you plug in 2 for r, it should get you the answer
Classify the random variables below according to whether they are discrete or continuous.a. The time it takes for a light bulb to burn out.b. The number of fish caught during a fishing tournament.c. The number of statistics students now reading a book.d. The number of textbook authors now sitting at a computer.e. The height of a randomly selected giraffe.
Answer:
Discrete(b,c and d)
Continuous (a and e)
Step-by-step explanation:
Discrete
Discrete Random variables are variables that can only take on integer values. Therefore the following are discrete variables.
b. The number of fish caught during a fishing tournament. e.g. 6 fishes
c. The number of statistics students now reading a book. e.g. 12 Students
d. The number of textbook authors now sitting at a computer. e.g. 9 Authors
Continuous
Continuous random variables can take on an uncountable number of values.
a. The time it takes for a light bulb to burn out. e.g.178.897 seconds
e. The height of a randomly selected giraffe. e,g 16.67 feet
write a number with two decimal places, that is bigger than 4 wholes and 1/5 but smaller than 4.25
Answer :
11.45
step-by-step explantion :
4.25=17/4
when we add 41/5 and 17/4, we get
41×4+17×5/4×5
164+65/20
229/20
11.45 Ans
:
Which formula should be used to find the circumference of a circle?
C =πd
C=2πd
C=πr C=π/d
NEED HELP ASAP !
Answer:
C = πd or 2πr
Step-by-step explanation:
2r equals d
2r = d
What is the factorization of 121b^4-49
The factorization of 121b^4 - 49 is (11b^2 + 7)(11b^2 - 7).
Explanation:The given expression is 121b^4 - 49. We can recognize that it is a difference of squares, which can be factored using the formula (a^2 - b^2) = (a + b)(a - b). In this case, a is 11b^2 and b is 7.
Therefore, the factorization of 121b^4 - 49 is (11b^2 + 7)(11b^2 - 7).
Learn more about Factorization here:https://brainly.com/question/33624529
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Emma correctly answered 21 of 25 questions. what percent of the question did Emma answer correctly?
A.21%
B.84%
C.16%
D.96%
E. None correct
Answer:
B
Step-by-step explanation:
21/25
Work Shown:
21/25 = 84/100 after multiplying top and bottom by 4
Since 84/100 = 84%, this means 21/25 = 84% as well
Alternatively, you can use a calculator or long division to find that 21/25 = 0.84 = 84%
A mountain climber starts a climb at an elevation of 453 feet above sea level. At his first rest stop he has climbed 162 feet, and by his second rest stop he has climbed another 207 feet. It's getting late in the day, so the climber starts his way down. If the climber descends 285 feet, how much does he need to ascend or descend to return to the original starting point?
A) ascend 84 feet
B) ascend 78 feet
Eliminate
C) descend 84 feet
D) descend 78 feet
Answer:
C) Descend 84 feet
Step-by-step explanation:
162+207=369
369-285=84ft above starting point, this means that he must descend 84 feet to reach the starting point.
A city planner wants to estimate the average monthly residential water usage in the city. He selected a random sample of 100 households from the city, which gave a mean water usage of 4500 gallons over a 1-month period. Based on earlier data, the population standard deviation of the monthly residential water usage in this city is 600 gallons. Make a 90% confidence interval for the average monthly residential water usage for all households in this city
Answer:
The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645*\frac{600}{\sqrt{100}} = 98.7[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4500 - 98.7 = 4401.3 gallons
The upper end of the interval is the sample mean added to M. So it is 4500 + 98.7 = 4598.7 gallons
The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.
How is a net useful when finding the surface area or prisms and pyramids?
Answer:oh yeah I remember that
Step-by-step explanation:
That’s tuff
Which of the following is the inverse of y = 12 Superscript x? y = log Subscript one-twelfth Baseline x y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction y = log Subscript x Baseline 12 y = log Subscript 12 Baseline
The inverse of the function is logx/log12
The inverse of a functionGiven the function expressed as:
y = 12^x
To find the inverse, switch the variables to have:
x = 12^y
Take the log of both sides
logx = y log 12
y = logx/log12
Hence the inverse of the function is logx/log12
Learn more on inverse of a function here: https://brainly.com/question/2873333
Which equation is equivalent to
equivalent to ( 1/3)^x=27^x+2
Answer:
x=\frac{-3}{2}
Step-by-step explanation:
We have been given with the expression (1/3)^x=(27)^x+2
Now, to solve the equation firstly we have to make the base same on both sides
(1/3)^x=3^{-x}
27 can be written as 3^3
27^x=(3^3)^x=3^{3x}
Hence, given expression can be rewritten as
3^{-x}=3^{3(x+2)}
Now since, base is same we can equate the powers on both sides
-x=3(x+2)\\ \Rightarrow-x= 3x+6\\ \Rightarrow -x-3x=6\\-4x=6\Rightarrow x=\frac{-3}{2}
Therefore given expression (1/3)^x=(27)^x+2 is equivalent to x=\frac{-3}{2}
Equivalent means the simplified form of any given expression
The equation is equivalent to [tex]\(\boxed{3^x = 3^{-3x+2}}\)[/tex]
To solve the equation [tex]\((\frac{1}{3})^x = 27^{(x+2)}\)[/tex], we first need to express [tex]\(27\)[/tex] as a power of [tex]\(3\)[/tex], as [tex]\(27 = 3^3\)[/tex]. Then, we rewrite the equation as:
[tex]\[\left(\frac{1}{3}\right)^x = (3^3)^{(x+2)}\][/tex]
Now, we apply the properties of exponents, specifically the power of a power rule which states [tex]\((a^m)^n = a^{m \times n}\)[/tex], to simplify the expression:
[tex]\[\left(\frac{1}{3}\right)^x = 3^{3(x+2)}\][/tex]
Now, we have the same base on both sides of the equation. We can set the exponents equal to each other:
[tex]\[x = 3(x+2)\][/tex]
Now, let's solve for [tex]\(x\)[/tex]:
[tex]\[x = 3x + 6\][/tex]
[tex]\[x - 3x = 6\][/tex]
[tex]\[-2x = 6\][/tex]
[tex]\[x = \frac{6}{-2}\][/tex]
[tex]\[x = -3\][/tex]
Complete correct question:
Which equation is equivalent to [tex]( 1/3 )^x=27^{x+2}[/tex] ?
[tex]3^x=3^{-3x+2}[/tex]
[tex]3^x=3^{3x+6}[/tex]
[tex]3^{-x} =3^{3x+2}[/tex]
[tex]3^{-x} =3^{3x+6}[/tex]