The test hypothesis using 0.05 significance level has the following results:The treatment means differ, The block means do not differ.
What is hypothesis testing?A poll or study's findings can be tested using the statistical procedure known as hypothesis testing to see if the findings are significant. By calculating the likelihood that the findings happened by chance, you are basically evaluating if the findings are genuine. If it's possible that your results were a coincidence, the experiment won't be reproducible and won't be of much help.
Hypothesis testing may be one of the most perplexing components for students, mostly because you must first determine what your null is so that you can conduct a test. These challenging word problems that you encounter might sometimes be challenging to understand.
Make a plan for your null hypothesis.
Write down your null hypothesis
Determine the type of test you must do,
How to solve?
Describe the null and alternate treatment hypotheses:
Null hypothesis: No difference in treatment means
Alternative interpretation: The means differ
Indicate the treatment decision-making process:
F(1,2)=18.51 as seen in the table
Reject the null hypothesis if the estimated F exceeds 18.51.
Treatments Calculated F=43.75 > 18.51; hence, the null hypothesis is rejected.
As a result, we find that the treatment means differ.
Write out the null and alternative hypotheses for blocks.
Block means are not different under the null hypothesis.
A different theory There exists at least one pair of distinct meanings.
State the block decision rule as well:
Table F(2,2)=19.0 value
If the estimated F is greater than 19, reject the null hypothesis.
Blocks determined that F=8.14 19.0, thus we did not reject the null hypothesis.
Our conclusion is that the block means are equivalent.
To learn more about hypothesis testing, visit:
brainly.com/question/28155021
#SPJ4
one and one eights divided by one half
Answer: 9/4
Step-by-step explanation:
1 1/8 divided by 1/2 can be rewrite as
=9/8 divided 1/2
=9/8 timed 2/1
=18/8
= 9/4
If you can please give me a Brainliest, I only need 3 more to become an Ace, thank you!
help me omg omg i need help
Answer: Note that log(a) + log(b) is the same thing as log(a × b) This gives us: log7(x(x +5)) = log7(14)
Fathi ha
$1. 10 in hi printing account. Each heet of paper he ue reduce hi printing account balance by
$0. 25. Fathi want to print out a PDF document that i
47 page long. To ave paper, he decide to print on both ide of each heet and to print two page on each ide of the heet. After Fathi print, what will be the balance in hi printing account?
After printing the long pdf Document of 47 pages , the remained balance in Fathi's printing account is -$4.90 ..
In mathematics, a basic algebraic operation is any of the common arithmetic operations, including addition, subtraction, multiplication, division, raising integers to powers, and taking square roots.
We have given that,
Total or initial balance of fathi's printing account
= $1.10
Each sheet of paper reduce his balance by $0.25..
Total number of pages in pdf document
= 47
He wants to print this pdf document.
When he print both sides of paper then it reduce the counts of paper used for printing the pdf.
That's if he print only one side then he will print 47 pages but now, he print on both sides .
so, total pages used to print pdf Document= 47/2
= 23 both sided printed + 1 one side printed = 24 pages
Using all provided details, we get
After Fathi print, the balance in his printing account = Initial balance - 24 × balance reduce by each page print
= $1.10 - 24 × $0.25 = $1.10 - $ 6
= - $4.90
Hence, - $4.90 balance in his printing account.
To learn more about Algebraic operation, refer:
https://brainly.com/question/10319012
#SPJ4
Student a says the δ h value of an exothermic energy change is always positive. Student b says δ h value of an exothermic energy change is always negative. Who is correct?.
A health club charges a $50 initial fee plus $2 per visit. Brenda has spent a total of $144 at the health club this year. How many visits has she made?
what is a line that is perpendicular to the line y=1/2x-6 and passes through the point (-1 5)
Answer:
y=1/2x+5.5
Step-by-step explanation:
how would you explain the difference between qualitative and quantitative data sources? how would you explain the difference between qualitative and quantitative data sources?
The main difference between qualitative and quantitative data sources is qualitative is the categorial type and quantitative is a type of numerical.
What are the sources of data in mathematics?
In statistics, there are two sources of data. Census data and officially conducted surveys are examples of data that is gathered for some official purposes and are referred to as statistical sources. Non-statistical sources refer to the data that are collected for other administrative purposes or for the private sector.
These are the differences between qualitative vs. quantitative data:
Quantitative data is numbers-based, countable, or measurable. Qualitative data is interpretation-based, descriptive, and related to language.
Quantitative data tells us how many, how much, or how often in calculations.
Qualitative data can help us to understand why, how, or what happened behind certain behaviors.
Quantitative data is fixed and universal. Qualitative data is subjective and unique.
Quantitative research methods are measuring and counting. Qualitative research methods are interviewing and observing.
Quantitative data is analyzed using statistical analysis. Qualitative data is analyzed by grouping the data into categories and themes.
Hence, the main difference between qualitative and quantitative data sources is qualitative is the categorial type and quantitative is a type of numerical.
To learn more about the sources of data visit,
https://brainly.com/question/26711803
#SPJ4
mgse8.ee.8c solve real-world and mathematical problems leading to two linear equations in two variables.
Two linear equations in two variables can be solved using the substitution techniques, graphical method or by the elimination method.
Let us consider any two real world linear equations in two variables.
x - y = 0
x + y = 4
Now let us first solve them by substitution method:
equation 1 can be written as : x = y ,
Now we substitute this value of x in the second equation:
x + y = 4
or, y + y = 4
or, 2y = 4
or, y = 2
At x = 2 , y = 2. Hence the solution is (2,2)
Now let us solve by elimination method:
adding equation 1 and 2 we get:
x - y = 0
x + y = 4
2x = 4
or, x =2
at x=2 , y = 4-2 =2 Hence the solution is (2,2)
Now we will solve the equations graphical method.
In the graph attached below we can clearly see that the straight line representation of the two equations intersect at the point (2,2)
Hence the solution is (2,2) .
Therefore any linear equation in 2 variables can be solved by substitution , elimination and graphically.
To learn more about linear equations visit:
https://brainly.com/question/21835898
#SPJ4
You roll two dice, one red and one green. Losing combinations are doubles (both dice showing the same number) and outcomes in which the green die shows an odd number and the red die shows an even number. The other combinations are winning ones. E is the event that you roll a winning combination.
The probability of rolling a winning combination will be 7/12 as the winning combination is 21 and Total combination will be 36.
What is probability?The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't. By dividing the number of positive outcomes by the entire number of potential outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.
Here,
If the first die is red and the second one is green, then the sample space S is the following:
S=
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2, 1), (2,2), (2,3), (2,4), (2,5), (2,6), (3, 1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5, 1), (5,2), (5,3), (5,4), (5,5), (5,6), (6, 1), (6, 2), (6,3), (6,4), (6,5), (6,6)
Hence n(S)=36.
Let's list the losing combinations:
E={(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (2, 1),
(2, 3), (2, 5), (4, 1), (4, 3), (4, 5), (6, 1), (6, 3), (6,5)}
n(E)=15
There are 36 total possiblities.
Out of which, winning probability is 21.
=21/36
=7/12
Given that the winning combination is 21 and the total combination is 36, the chance of rolling a winning combination is 7/12.
To know more about probability,
https://brainly.com/question/11234923
#SPJ4
residents of three villages with three different types of water supply were asked to participate in a survey to identify the prevalence of cholera carriers. virtually everyone present at the time submitted to examination. the proportion of residents in each village who were carriers was computed and compared. what type of study was this?
The type of study was cross-sectional study.
An example of an observational study design is the cross-sectional study design. In a cross-sectional study, the researcher simultaneously assesses the participants exposures and outcomes.
After choosing the study subjects, the researcher conducts the study in order to evaluate the exposure and results.
For population-based surveys and to determine the prevalence of illnesses in clinic-based samples, cross-sectional designs are employed.
These studies are typically affordable and reasonably quick to carry out.
An illustration of a cross-sectional study might be a medical investigation into the incidence of cancer in a particular community.
To know more about cross-sectional study, here
https://brainly.com/question/20758569
#SPJ4
select the curve generated by the parametric equations. indicate with an arrow the direction in which the curve is traced as t increases. x
As t increases the curve is changing according to the plot points given by the parametric equations.
Define parametric equations?
The coordinates of the points that make up a geometric object, such as a curve or surface, are frequently expressed using parametric equations; in this case, the equations are collectively referred to as a parametric representation or parameterization (alternatively spelled as parametrisation) of the object. It describes a collection of numbers that represent functions with one or more independent variables. The parameters used here are the independent variables. For the representation of the coordinates that make up geometric objects like curves and surfaces, parametric equations are used. Additionally, a curve that is not a function can be drawn using parametric equations.
The equations are
x=1-t²
y=2t-t²,-1≤t≤2
To know more about parametric equations, click here:
brainly.com/question/12718642
#SPJ4
What is the average rate of change in profit from hour 5 to hour 10, in dollars per hour?.
The profit increased at an average pace of $600 between Hour 5 to Hour 10.
What exactly defines rate of change?The term "rate of change" (ROC) describes the rate where something transforms over time. Thus, it is not the amount of individual themselves but rather the acceleration. (namely, the rate). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.An indicator of the how one dimension changes in proportion to another is a rate of change.
The table for the price is given as;
Hour Profit
0 $0
2.5 $500
5 $900
7.5 $1200
10 $1500
After 5 hours, the profit is 900, and after another 5 hours, the profit is 1500.
In order to determine that average rate of change, we must take 900 away from 1500.
1500-900 = 600
Thus, an average rate of change for profit during Hour 5 to Hour is therefore $600.
To know more about the rate of change, here
https://brainly.com/question/25184007
#SPJ4
The strength of the linear relationship between two numerical variables may be measured by the
a) scatter diagram. b) slope. c) coefficient of correlation. d) Y-intercept.
The strength of the linear relationship between two numerical variables may be measured by the coefficient of correlation
What is meant by coefficient of correlation?The correlation coefficient is a statistical indicator of how strongly two variables are linearly related. Its values may be between -1 and 1. A correlation coefficient of -1 indicates a complete negative, inverse, or inverse-correlation, where values in one series increase as those in the other fall and vice versa. A coefficient of 1 denotes a perfect positive correlation or a straight line. A correlation value of 0 indicates that there is no linear relationship.
In both science and finance, correlation coefficients are used to measure the degree of relationship between two variables, components, or data sets. For example, because high oil prices benefit crude producers, one might assume that the correlation between oil prices and forward returns on oil stocks is strongly positive.
To learn more about coefficient of correlation, visit:
brainly.com/question/28092200
#SPJ4
PLEASE HELP GIVE BRAINLIEST
Answer:
top
Step-by-step explanation:
In the bottom, y=5x for all of the columns. In the top, y=2x for all except third column, so it is not proportional.
Please help me with this escape room due at 12 tonight
Answer:
Step-by-step explanation:
ben
To become a member of the liberty, there i a 40$ ignup fee and a 2$ monthly fee. Write a equation in lope intercept form that model thi ituation. How much will it cot for being a member for 18 month
18 months of All-Star Library membership cost $76 in total.
Explain the term linear equation?A linear equation is just an algebraic equation of a form y=mx+b, where m is the slope when b is the y-intercept, and only a constant or a first (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."For the given equation.
The sign-up fee for the library-all-star-members club = $40.
Let 'x' be the total number of months.
Let 'y' be the total cost.
Monthly fee = $2.
Then, the linear equation models is-
y = 2x + 40
Given that a particular club member has been a part of it for 19 months, we replace x with the number 19 as follows:
y = 2x + 40
y = 2 * 18 + 40
y = = 36 + 40
y = 76.
Thus, 18 months of All-Star Library membership cost $76 in total.
To know more about the linear equation, here
https://brainly.com/question/2030026
#SPJ4
The complete question is-
3. In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation. Use equation you wrote in problem 3 to find the total cost of being an all-star library member for 18 months.
the purpose of a short-term measurement is to substitute for a long-term measurement. for this purpose, which do you think is more relevant, the confidence interval or the prediction interval? explain.
Prediction interval is more relevant than confidence interval.
What is Prediction Interval?
A prediction interval is an estimate of the range within which a future observation will fall, with a particular probability, given what has already been observed, in statistical inference, more especially predictive inference.
Short term measures:
Undoubtedly, short-term decisions and actions serve as important starting points for both real accomplishments and symbolic commitments. Taking into account the challenges, assets, and weaknesses that have been identified, a number of immediate activities seem to have the highest chance of fostering intelligent growth in the long run.
Long term measures:
The phrase "Long-Term Performance Measures" refers to the performance metrics developed and employed by the Committee to evaluate the Company's performance and ascertain the quantity of Common Stock to be paid to the Participant at the end of a Restriction Period.
Here,
Prediction intervals must take into consideration both the random variation of the individual values and the uncertainty in predicting the population mean. Consequently, a prediction interval is always larger than a confidence interval. Additionally, as the sample size grows, the prediction interval won't condense to a single value.
Hence, Prediction interval is more relevant than confidence interval.
To know more about Prediction and Confidence Intervals visit,
https://brainly.com/question/13708942
#SPJ4
Find the domain of the equation.
ln[tex]\frac{x^3+5x^2+3x-9}{x^2-x-2}[/tex]
The domain of the rational function [tex]\frac{x^3 + 5x^2 + 3x - 9}{x^2 -x - 2}[/tex] is:
D: {x ∈ R| x ≠ -1, 2}
How to find the domain?The domain will be the set of all real numbers, minus these ones that make the denominator equal to zero.
The denominator will be zero when:
x² - x - 2 =0
Using the quadratic formula we will get:
[tex]x = \frac{1 \pm \sqrt{(-1)^2 - 4*1*-2} }{2*1} \\\\x = \frac{1 \pm 3}{2}[/tex]
The two solutions are:
x = (1 + 3)/2 = 2
x = (1 - 3)/2 = -1
If the numerator is not zero on these values, then we need to remove them from the domain.
When x = 2 the numerator is:
2³ + 5*2² + 3*2 - 9 = 25
When x = -1
(-1)³ + 5*(-1)² + 3*-1 - 9 = -8
Neither of these is zero, so we need to remove x = -1 and x = 2 from the domain, then the domain is:
D: {x ∈ R| x ≠ -1, 2}
Learn more about rational functions:
https://brainly.com/question/1851758
#SPJ1
a manufacturer must test that his bolts are 1.00cm long when they come off the assembly line. he must recalibrate his machines if the bolts are too long or too short. after sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 0.94cm. he knows that the population standard deviation is 0.31cm. assuming a level of significance of 0.05, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines?
There is insufficient evidence to support that bolts are too long or too short.
What is Mean and Standard Deviation?
Mean: Dividing the sum of all values in a data set by the number of values.
Standard Deviation: The standard deviation is a measure that summarizes how far away from the mean each observation is.
Given:
mean: 0.94cm
standard deviation = 0.31cm
Alright, so a manufacturer must test that these bolts are long as they come off the manufacturing line and he must readjust the machines if they're too long or too short. Consequently, sample 121V and sample mean are 0.94 cm. So we want to test whether or not these are actually equal to two, so are no hypothesis is that the mean is too and our alternative hypothesis, because it says that we have to recalibrate if they're too short or too long, is that the mean is not too we could probably go with the left tail test here because the sample mean is under but we'll be safer with a two tail test um just because the standard deviation may sway things.
So what we want to do next is compute the test statistic and that's gonna be a Z score and that's just supplied by X bar minus population mean over standard deviation over squared event. And we're using Z here because we have a high sample size and since we know the population standard deviation.
Hence, There is insufficient evidence to support that bolts are too long or too short.
To know more about Mean and Standard Deviation visit,
https://brainly.com/question/475676
#SPJ4
At a local print shop, 18 copies can be made for $6. At this rate, how how many copies could be made for $28?.
By using unitary method, it can be calculated that
For $28, 84 copies can be sold
What is unitary method?
Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity
Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.
Here, unitary method is used
For $6, 18 copies can be sold
For $1, [tex]\frac{18}{6}[/tex] copies can be sold
For $1, 3 copies can be sold
For $28, 3 [tex]\times[/tex] 28 copies can be sold
For $28, 84 copies can be sold
To learn more about unitary method, refer to the link -
https://brainly.com/question/24587372
#SPJ4
The simultaneous equations mx + ny = 8 and m²x-n²y = - 10 has a solution x = 2 and y = 3. Find the possible values of the constants m and n.
The possible values of (m,n) are (1,2) and (-17,14).
What is a system of equations?A system having more than two equations is known as a system of equations.
Given that, the solution of the simultaneous equations is x = 2 and y = 3.
The given equations are:
mx + ny = 8
m²x - n²y = -10
Substitute x = 2 and y = 3 into the above equations:
2m + 3n= 8 (1)
2m² - 3n² = -10 (2)
Rewrite equation (1):
2m + 3n= 8
2m = 8 - 3n
m = (8 - 3n)/2 (3)
Substitute it into equation (2):
[tex]2\frac{(8-3n)^2}{4}-3n^2 = -10\\\\2(64 +9n^2-48n)-12n^2+40 =0\\\\128 +18n^2-96n-12n^2+40=0\\\\6n^2-96n+168=0\\\\n^2-16n+28=0\\\\n^2-14n-2n+28=0\\\\n(n-14)-2(n-14)=0\\\\(n-2)(n-14)=0[/tex]
n = 2 or n =14
Now, substitute n = 2 into equation (3):
m = (8-3×2)/2
m = 1
Further, substitute n = 14 into equation (3):
m = (8-3×14)/2
m = -17
Hence, the possible values of (m,n) are (1,2) and (-17,14).
Learn more about the system of equations:
https://brainly.com/question/24065247
#SPJ1
The line plot shows how far Miguel ran during each running session last week.
What is the total distance he ran during these sessions?
1/2 xxxx
1 xxx
1 1/2 xxxx
2 xxxxx
2 1/2 xxxx
The total distance is 13 units he ran during these sessions
What is Distance?The length along a line or line segment between two points on the line or line segment.
From the line plot, we have the following frequency table:
Distance Frequency
0 0
1/2 4
1 3
[tex]1\frac{1}{2}[/tex] 1
2 2
[tex]2\frac{1}{2}[/tex] 1
3 0
The total distance from the line plot is then represented as
Total distance = Sum of the product of distance and frequency
Total distance = (0×0) + (1/2 × 4) + (1 × 3) + ([tex]1\frac{1}{2}[/tex] × 1) + (2 × 2) + ([tex]2\frac{1}{2}[/tex] × 1) + (3 × 0)
Total distance = 13
Hence, the total distance is 13 units he ran during these sessions
To learn more on Distance click:
https://brainly.com/question/15172156
#SPJ1
A farm has 21 goats. All of the goats sleep in three separate rooms. One more goat sleeps in Room 2 than sleeps in Room 1 and one more goat sleeps in Room 3 than sleeps in Room 2 . How many goats sleep in each Room?
The number of goats sleep in Room 1 is 6, Room 2 is 7 and in Room 3 is 8.
What is a linear equation?A linear equation can also be generated by equating to zero a linear polynomial over some field and extracting the coefficients.
The values that, when substituted for the unknowns, make the equality true are the solutions to such an equation.
With two variables, each solution can be understood as the Cartesian coordinates of a Euclidean plane point. This is where the name "linear" comes from when describing these types of equations.
Given total goats=21
Let the goats in room 1 be x.
Then, in the second room be x+1
And in the third room be (x+1)+1
x+(x+1)+(x+2)=21
3x+3=21
3x=18
x=6
Therefore, room 1=6
Room 2=7
Room 3=8
To know more about linear equation, visit:
https://brainly.com/question/11897796
#SPJ1
Answer: The number of goats sleeping in Room 1 is 6, Room 2 is 7 and Room 3 is 8.
What is a linear equation?
A linear equation can also be generated by equating to zero a linear polynomial over some field and extracting the coefficients.
When substituted for the unknowns, the values that make the equality true are the solutions to such an equation.
With two variables, each solution can be understood as the Cartesian coordinates of a Euclidean plane point. This is where the name "linear" comes from when describing these types of equations.
Given total goats=21
Let the goats in room 1 be x.
Then, in the second room be x+1
And in the third room be (x+1)+1
x+(x+1)+(x+2)=21
3x+3=21
3x=18
x=6
Therefore, room 1=6
Room 2=7
Room 3=8
To know more about linear equations, visit:
brainly.com/question/11897796
Step-by-step explanation:
find the value of c of this triangle
Answer:
c = 20 degrees
Step-by-step explanation:
7c + c + c = 180
9c = 180
9/9 c = 180/9
c = 20
Please help now asap !!!!!!!!!?!
Answer: 2.12 miles.
Step-by-step explanation: To find the width of Hardee County, we need to determine the length of one of its sides. We can use the fact that the area of a rectangle is equal to its length times its width to find the length of one of its sides.
The area of Hardee County is 637 square miles, and we know that its width is 30 miles. We can use this information to write the following equation: 637 square miles = 30 miles * length
We can solve this equation for the length by dividing both sides by 30: 637 square miles / 30 miles = length
This simplifies to: 21.2 square miles = length
Since the length of a rectangle is one of its sides, the width of Hardee County is 21.2 miles.
In the figure shown, what is the value of x? Triangles A B C and D E F with side A B congruent to side D E, side A C congruent to side D F, and the included angles A and D congruent. Side B C has length 13 x minus 12 and side E F has length 7 x minus 6.
Answer:
Step-by-step explanation:
its x= 1
13-12=1
7-6=1
and i multiplied 13(1)-12 which equals one and 7(1)-6 which also equals one, the answers just have to match with each other
The value of [x] is equivalent to 9.5.
What is triangle? What is a expression? What is a mathematical equation? A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically - ∠x + ∠y + ∠z = 180°There are different types of triangles such as - equilateral triangle , scalene triangle , isosceles triangle etc.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given are two triangles ABC and DEF as shown.
Since AB is congruent to DE, then -
AB = DE
2x - 1 = 18
2x = 19
x = 9.5
Therefore, the value of [x] is equivalent to 9.5.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ1
select all the equations that have the same solution as 2x-5=15
The equations that have the same solution as 2x-5=15 include :
2x = 20
2x - 20 = 0
4x - 10 = 30
The options are B, D, E.
How to calculate the equation?We have,
2x - 5 = 15
Here,
The solution is 10.
2x = 15 + 5
2x = 20
x = 20/2
x = 10
We have,
A. 2x = 10
x = 10/2
x = 5
B. 2x = 20
x = 20/2
x = 10
C. 2(x - 5) = 15
2(x - 5) = 15
x - 5 = 15/2
x = 15/2 + 5
x = 12.5
D. 2x - 20 = 0
2x = 20
x = 20/2
x = 10
E. 4x - 10 = 30
4x = 30 + 10
4x = 40
x = 40/4
x = 10
F. 15 = 5 - 2x
15 - 5 = -2x
10 = -2x
x = -10/2
x = -5
The correct options are B, D and E.
Learn more about equations on:
https://brainly.com/question/2972832
#SPJ1
Complete question
What equations have the same solution as 2x - 5 = 15?
A. 2x = 10
B. 2x = 20
C. 2(x - 5) = 15
D. 2x - 20 = 0
E. 4x - 10 = 30
F. 15 = 5 - 2x
on the trip from detroit to colombus, ohio, mrs smith drove an average speed of 60 mph. returning, her average speed was 55 mph. if it took her 1/3 of an hour longer on the return trip, how far is it from detroit to columbus
Distance from Detroit to columbus is 220 miles
It is given in the question,
The average speed Mrs. smith drove = 60 mph.
Returning, her average speed was 55 mph.
Time taken = 1/3 of an hour longer on the return trip
We have to Find total distance between Detroit and Columbus
So, Let the distance between Detroit and Columbus be "x" miles
Average speed = 60
So, time taken by her to cover distance of x miles with speed of 60 mph
Time = Distance / speed
=> t = x / 60
She Took x/60 hours to reach Columbus
While returning her speed was 55 mph.
So, time taken by her to cover the same distance but at a speed of 55 mph :
=> t = x / 55
Now we are given that she took 1/3 of hour more while returning .
So, [tex]\frac{x}{55} - \frac{x}{60} = \frac{1}{3}[/tex]
⇒ x/660 = 1/3
=> x = 660/3
=> x = 220 miles
Hence , Detroit is 220 miles far from Columbus
To know more about distance here
https://brainly.com/question/15172156
#SPJ4
a medicine to remove the redness in eyes were tested in a group of 100 students. the results now may be biased because the variable location is an example of lurking variable
Variable location is an example of a lurking variable in a study of medicine to remove the redness in eyes when tested in a group of 100 students. The statement is true.
Hidden variable is a variable that has a connection (e.g., may be correlated) with the answer and the explanatory variable but is neither the explanatory variable nor the response variable. Although it is not taken into account in the study, it might affect how the variables are related.
A hiding variable may misidentify a significant correlation between variables or may conceal the real correlation. A research scientist might, for instance, look at how nutrition and exercise affect someone's blood pressure. Smoking status and stress levels are additional factors that also influence blood pressure.
For more information on lurking variable kindly visit to
https://brainly.com/question/13285819
#SPJ4
I thought of a number. My number tripled is 11 less than 26. Find my number?
Answer:
Not sure, maybe it's 5?
Step-by-step explanation:
[tex]26-11=15[/tex]
[tex]15[/tex] ÷ [tex]3=5[/tex]