The correct answer is to Reject the null hypothesis. This is strong evidence that the mean amount of sleep is less than 8 hours.
The test statistic of t = -2.03 and P-value of approximately 0.025 suggest that the mean amount of sleep for students is significantly less than 8 hours.
The P-value of 0.025 is less than the significance level of 0.05, which means that there is enough evidence to reject the null hypothesis that the mean amount of sleep is 8 hours.
Therefore, the appropriate conclusion at the a = 0.05 significance level is that the mean amount of sleep for students is less than 8 hours.
Hence, the correct answer is C.
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solve the system using either gaussian elimination with back-substitution or gauss-jordan elimination. (if there is no solution, enter no solution. if the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.) 3x 3y 6z
The solution for the given system of equation is (x, y, z) is = (0 , (3-4t) , t) by Gaussian elimination method.
In the question ,it is given that the system of equations are ,
3x + 3y + 6z = 9
x + y + 2z = 3
2x + 5y + 10z = 15
-x + 2y + 4z = 6
we have to solve the equations for x, y , z.
writing the given equations in augmented matrix form , we get
[tex]\left[\begin{array}{ccc}3&3&6\\1&1&2\\2&5&10\\-1&2&4\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}9\\3\\15\\6\\\end{array}\right][/tex]
Applying R₁ → 1/3R₁
[tex]\left[\begin{array}{ccc}1&1&2\\1&1&2\\2&5&10\\-1&2&4\\\end{array}\right][/tex] =[tex]\left[\begin{array}{ccc}3\\3\\15\\6\\\end{array}\right][/tex]
Apply R₂ → R₂ - R₁
[tex]\left[\begin{array}{ccc}1&1&2\\0&0&0\\2&5&10\\-1&2&4\\\end{array}\right][/tex]=[tex]\left[\begin{array}{ccc}3\\0\\15\\6\\\end{array}\right][/tex]
After applying more row operations in the above matrix ,to make the lower triangle matrix 0 ,we get ,
[tex]\left[\begin{array}{ccc}1&0&0\\0&1&2\\0&0&0\\0&0&0\\\end{array}\right][/tex] =[tex]\left[\begin{array}{ccc}0\\3\\0\\0\\\end{array}\right][/tex]
The above result can be expressed as x = 0 and y + 2z = 3 .
So , the system of equations have infinite solutions .
So , the solution x, y, and z expressed in terms of the parameter t is
(0 , (3-2t) , t) .
Therefore , the solution is (x, y, z) is = (0 , (3-2t) , t) .
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This question is incomplete. The complete question is
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.)
3x + 3y + 6z = 9
x + y + 2z = 3
2x + 5y + 10z = 15
−x + 2y + 4z = 6
How do I solve this?
Solve for x and y then use pythagorean theory
Answer:
x = (10.392)
y = 12
Step-by-step explanation:
Trigonometric Functions:Trigonometric Functions are special functions relating to the ratio of the sides of triangles. There are 6 primary ones known as sin, cos, tan, csc, sec, cot which all have definitions relating to the sides of a triangle.
We want to use one where it's defined using the adjacent side and opposite side since we know the adjacent side (the side 6) we just don't know the opposite side (the x side).
Luckily we have a function tan which is defined as: [tex]tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}[/tex]
We can plug in values we know: [tex]tan(60) = \frac{x}{6}[/tex] now just multiply both sides by 6 to solve for the x value: [tex]tan(60) * 6 = x[/tex] and then using a calculator we get approximately: 10.392 and now from here we can use Pythagorean Theorem:
[tex](10.392)^2 + 6^2 = y^2\\\\107.994 + 36 = y^2\\\\143.994=y^2\\\\12=y[/tex]
Elisa needs money to repair her home air conditioner, so she pawns her bicycle. The pawnbroker loans Elisa $270. 5 days later, Elisa gets her bicycle back by paying the pawnbroker $276.75. What annual simple interest rate did the pawnbroker charge Elisa? Assume 360 days in a year.
Therefore, the annual simple interest rate charged by the pawnbroker is 5%
What does interest actually mean?To determine simple interest, divide the balance by the cost of borrowing, the amount of time left, and other factors. Principal plus interest plus hours is the straightforward return strategy in marketing. The simplest approach to calculate interest is to use this method. The most popular method of calculating revenue is as a percent of the principal amount.
Here,
To find the annual simple interest rate, we need to use the formula:
Simple interest = Principal x Rate x Time
where Principal is the amount borrowed, Rate is the interest rate, and Time is the time period in years.
In this case, the Principal is $270, and the amount paid back is $276.75, which means the interest paid is:
Interest = Amount paid back - Principal = $276.75 - $270 = $6.75
The time period is 5/360 years, since there are 360 days in a year and Elisa had the loan for 5 days.
Plugging these values into the formula, we get:
$6.75 = $270 x Rate x 5/360
Solving for Rate, we get:
Rate = $6.75 / ($270 x 5/360) = 0.05 or 5%
Therefore, the annual simple interest rate charged by the pawnbroker is 5%
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taxi company a charges 4$ plus 0.5x per mile and taxi company b charges 5 $ plus 0.25x per mile
Graph it do they intersect?
Answer:
I have to submit the BRAINLIEST
pls mark as brainliest
Please Help ASAP
What is the area of the polygon?
Answer:
577.95
Step-by-step explanation:
find area of rectangle and then 2 triangles
15*33=495
8*15*1/2=60
3*15.3*1/2=22.95
22.95+60+495=577.95
7. In the high school band there are 2
percussionists on the sideline to every 13
marching instruments. If the high school band
has 150 total members, then how many
percussionists are on the sideline?
Answer: Let's call the number of percussionists on the sideline "x".
Since the ratio of percussionists to marching instruments is 2 to 13, for every 2 percussionists, there are 13 marching instruments.
So the total number of band members is 2x + 13x = 15x.
We know that the total number of band members is 150, so we can write an equation to solve for x:
15x = 150
Dividing both sides by 15:
x = 10
So there are 10 percussionists on the sideline.
Step-by-step explanation:
What are the domain and range of the inequality y<√x+3+1?
The domain of the given inequality is y>1.
What do you mean by inequality?
A fundamental idea in social justice theories is inequality, which is the state of not being equal, especially with regard to status, rights, and opportunities.
Due to the fact that it frequently has diverse meanings to different people, it can become confusing in public discourse. But there are some similarities as well.
y<√x+3+1
This equation is defined if
x + 3 ≥ 0
x ≥ -3
So, the domain of the given inequality is x>-3.
√x+3 ≥ 0
√x+3 + 1 ≥ 0 + 1
y ≥ 1
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
So, the domain of the given inequality is y>1.
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Jo borrowed $6,650 for 8 months from a bank. The bank discounted the loan at 8.5% .
a. How much interest did Jo pay the bank for the use of its money?
b. How much did he receive from the bank?
c. What was the actual rate of interest he paid?
Round interest amount to nearest cent.
The interest rate for Jo's 8-month, $6,650 bank loan was $70.14. The bank applied an 8.5% discount on the loan.
what is interest ?By divided the principal by interest rate, the duration of time, and other factors, simple interest be determined. Simple return means principal plus interest hours straight is the technique used in marketing. The quickest thing to compute interest if to use this method. The most popular way of calculating interest is as portion of the outstanding sum. For example, if he takes $100 from a buddy then agrees to repay the debt at 5% interest, he will only pay his portion of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you need to lend money when you lend it. Typically, interest is determined as an indicator of the overall of the loan total. The loan's interest is the term given to this percentage.
given
A = P(1 + r)ⁿ
A is the sum, P is the sum at the beginning, r is the interest rate, and n is the number of years.
Jo took out a four-month loan from a bank for 3,800. The bank applied a 5.5% discount to the loan.
The true interest rate is going to be
r = 5.5% / 12
r = 0.458%
When this happens, the money the bank gets is equivalent to what Jo paid in interest.
I = P(1 + r)ⁿ - P
I = 3800 (1 + 0.055/12)⁴ - 3800
I = $3870.14 - $3800
I = $70.14
The interest rate for Jo's 8-month, $6,650 bank loan was $70.14. The bank applied an 8.5% discount on the loan.
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Write the word sentence as an equation. Then solve the equation.
46 is the total of 18 and a number $d$ .
An equation that represents this word sentence is
.
The solution is $d=$
.
Answer:uhhhh
Step-by-step explanation:
So yeah
consider the following data sets: variable a: 5 3 5 5 4 8 variable b: 3 1 1 4 2 1 calculate the sample covariance.
The required sample covariance of the given sample is (C) -0.20.
What is sample covariance?The link between two random variables from the sample is measured using sample covariance, which uses a smaller sample of the population.
Working with huge populations, such as in long-term medical studies or stock investment tools, makes this statistic helpful.
So, the number of samples is:
n = 6
Then, the mean of x:
[tex]\begin{aligned}\bar{x} & =\frac{\sum x}{n} \\& =\frac{30}{6} \\& =5\end{aligned}[/tex]
The mean of y:
[tex]\begin{aligned}\bar{y} & =\frac{\sum y}{n} \\& =\frac{12}{6} \\& =2\end{aligned}[/tex]
The sample covariance:
[tex]{Cov}(x, y)=\frac{\sum\left(x_i-\bar{x}\right)\left(y_i-\bar{y}\right)}{n-1}\\\begin{aligned}& =\frac{-1}{5} \\& =-0.20\end{aligned}[/tex]
Therefore, the required sample covariance of the given sample is (C) -0.20.
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Correct question:
Consider the following data set: Variable 1: 5 3 5 5 4 8 Variable 2: 3 1 1 4 2 1
The sample covariance for this data set is ?
a). 2.30
b). -0.20
c). 0.65
d).-1.77
A land surveyor measured these lengths to find the distance, d, across a pond.
What is d, to the nearest tenth of a meter?
A
B
C
16.0 meters
19.2 meters
20.0 meters
Q
24 m
10 m
Р
12 m
The value of AB to the nearest tenth of a meter is 21 meter.
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
Two triangles are similar, if the ratio of their corresponding sides are in the same proportion
Triangle ABC and CDE are proportional, hence:
AB / DE = AC / CE
substituting:
AB / 7 = (12 + 6)/6
AB = 21 meter
The value of AB is 21 meter.
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Tanya is training a turtle for a turtle race. For every 5/6of an hour that the turtle is crawling, he can travel 3/20 of a mile. At what rate is the turtle crawling in miles per hour?
A-59/60 of a mile per hour
B-9/50 of a mile per hour
C-1/8 of a mile per hour
D-8 miles per hour
The turtle's rate is given as follows:
B- 9/50 of a mile per hour.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
The parameters for this problem are given as follows:
t = 5/6, d = 3/20.
Hence the velocity is obtained as follows:
v = (3/20)/(5/6)
v = (3 x 6)/(20 x 5)
v = 18/100
v = 9/50.
Meaning that option B is correct.
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Numbers in thousands) of forest fires over the year and the number in hundred thousands) of acres burned for 7 recent years are shown.Number of fires x | 69 58 47 84 62 57 72Number of acres burned y | 64 53 42 79 57 52 67The correlation coefficient for the data is r = 1 and a = 0.05. Should regression analysis be done?The regression analysis (should/should not) be done.
The correlation coefficient of 1 indicates a strong positive linear relationship between the number of forest fires and the number of acres burned.
However, the correlation coefficient alone does not determine if regression analysis should be done or not. Other factors such as the purpose of the analysis, the distribution of the data, and the presence of outliers should also be considered.
In general, if the relationship between the two variables is of interest and there is sufficient evidence of a linear relationship, then regression analysis may be appropriate. However, a final decision requires a deeper understanding of the problem and the data.
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PLEAS HELP ASAP 100 POINTS TO WHO EVER HELPS
A repeating decimal like 0.222222222..... is a rational number and can be written as the fraction 2/9
A stopping decimal like 0.22 is a rational number and can be written as the fraction 22/100 or 11/50
A non-stopping and non-repeating decimal like 0.1234567891011... or 0.121121112... is an irrational number can not be written as the fraction
The square root of a perfect square is a rational number and also a whole number.
The square root of a imperfect square is an irrational number.
What are irrational and rational numbers?Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., P/Q and Q≠0) and irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.
Given,
Fill in the blanks,
By the properties of irrational numbers,
Irrational numbers are non terminating and non-recurring decimal numbers and any square root that is not perfect root is irrational number.
Rational numbers the numbers that can be written as fraction.
Hence, rational, 2/9, 11/50, irrational, can not be written as fraction, perfect square and imperfect square are the words to fill in the blanks.
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Ashley and Kendall are both downloading a large file online. Below are the numbers of seconds each has been downloading and the number of megabits downloaded. Which of these statements is true based on the given information?
PLSSSSS ANSWER NOW!!!!!!!!
Step-by-step explanation:
We would but there is no given information or numbers.
Answer:
Step-by-step explanation:
picture please
Suppose you're given a data set the classifies each sample unit into one of four categories: A, B, C, D. You plan to create a computer database consisting of these date, and you decide to code the dat B2,C3, and D. Are the data consisting of the classifications AB, C and D qualitative or quantitative? Are the data are input as 1,2. 3. 4. are the qualitative or quantitative? Are the data consisting of the classifications AB, C, and qualitative or quantitative? O A Qualitative because they were measured on a naturally occuring numerical scale OB. Quaritative, because they can only be classified into categories OC. Qualitative, because they can only be classified into categories OD Quantitative, because they are measured on a naturally occuring numerical scale her the data are input as 1. 2. 3. 4. are they calitative or quantitative? O A Quantitative, because they we measured on a naturally occurring numerical sole Os Qualitative because they are more on a naturally occurring numerical scale OC Qualitative, because they cannot be meaningfully added subtracted, multiplied, or divided OD. Quantitative, because they cannot be meaningfully added, subtracted, multiplied, or divided
Quantitative data is data that is measured on a naturally occurring numerical scale.
This can be seen in the data input as 1, 2, 3, 4, which can be meaningfully added, subtracted, multiplied, or divided. Qualitative data, on the other hand, is data that cannot be meaningfully added, subtracted, multiplied, or divided. The data set consisting of classifications AB, C, and D is qualitative because it can only be classified into categories and cannot be meaningfully added, subtracted, multiplied, or divided. To illustrate this further, let’s take an example. If the categories are colours (A = Red, B = Blue, C = Green, and D = Yellow), the data set AB, C, and D cannot be meaningfully added, subtracted, multiplied, or divided, and therefore is qualitative.
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i need help with this problem
Answer:
1
Step-by-step explanation:
Anything to the 0 power is 1
Point P is equidistant from both [AB] and [AC]. Use congruence to show that P lies on the bisector of BAC.
Hint: To find the distance from P to either line we draw a perpendicular from the point to the line. So, the figure becomes:
Based on the RHS rule of congruency of triangles, APC and APB are congruent, therefore, P lies on the bisector of BAC.
How can it be proved that P lies on the bisector of BAC?To prove that P lies on the bisector of BAC:
Sketch the angle and its bisector.Draw perpendiculars from any point along the bisector onto the two angles' two arms. The two arms, the bisector, and the two perpendiculars you sketched have now joined to form two triangles.Based on two equal angles (the bisected angle), right angles, and a similar side, the two triangles are said to be congruent (RHS congruence rule). As a result, the perpendiculars are of equal length, and the angle's bisector is equally spaced from its sides.
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MTH115 – Principles of Mathematics
Assignment 4.2 – Technology 4
Recreate this table in a spreadsheet. Use built-in commands to find the column, row, and overall totals. After that, answer the given questions by using cell references in the spreadsheet. Round your answer to the whole percentage. Upload your sheet as an excel file.
Expenses
Rent Labor Supplies Total
Business 1 750 1300 2500
Business 2 1500 975 3600
Business 3 1200 850 1850
Business 4 450 1600 2900
Business 5 3200 5200 1000
Business 6 980 360 5600
Total
a. Labor makes up what percent of the total?
b. What percent of the total was Business 4's expenses?
c. Business 5's labor cost is what percent of the total labor expenses?
d. Supplies makes up what percent of Business 5's expenses?
Answer: I'm sorry, I am not able to create or upload spreadsheets in this platform due to recent restrictions. However, you can easily create this table in a spreadsheet program like Microsoft Excel and use built-in functions to find the desired information.
To answer the questions:
a. To find the percentage of the total that Labor makes up, you would divide the total Labor expenses by the overall Total expenses, then multiply by 100 to express the answer as a percentage.
b. To find the percentage of the total that Business 4's expenses make up, you would divide Business 4's Total expenses by the overall Total expenses, then multiply by 100 to express the answer as a percentage.
c. To find Business 5's labor cost as a percentage of the total labor expenses, you would divide Business 5's Labor expenses by the overall Labor expenses, then multiply by 100 to express the answer as a percentage.
d. To find the percentage of Business 5's expenses that Supplies make up, you would divide Business 5's Supplies expenses by Business 5's Total expenses, then multiply by 100 to express the answer as a percentage.
Step-by-step explanation:
Sally saved $182 in March. Her father gave her $20 for every
$50 she saved. How much did Sally's father give her?
Answer:
72.8 or 72 4/5
Step-by-step explanation:
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 108 and a standard deviation of 17. Suppose one individual is randomly chosen. Let X = IQ of an individual.
Answer:
Step-by-step explanation:
Find the probability that X is less than 92:
We can use the cumulative distribution function (CDF) of a normal distribution to find the probability that X is less than 92. The CDF of a normal distribution with mean μ and standard deviation σ is given by:
F(x) = (1/2) * [1 + erf((x-μ)/(σ * sqrt(2)))]
Where erf is the error function.
So, the probability that X is less than 92 can be calculated as:
P(X < 92) = F(92) = (1/2) * [1 + erf((92-108)/(17 * sqrt(2)))]
This value can be calculated using a calculator or statistical software.
Find the probability that X is between 92 and 126:
We can use the CDF to find the probability that X is between 92 and 126. The probability that X is between 92 and 126 is equal to the difference between the CDF values at 126 and 92:
P(92 < X < 126) = F(126) - F(92)
This value can also be calculated using a calculator or statistical software.
Find the IQ of an individual that is in the top 10% of the population:
To find the IQ of an individual that is in the top 10% of the population, we need to find the value of X that corresponds to a cumulative probability of 0.9. This can be done by solving for X in the CDF equation:
F(X) = 0.9
X = μ + σ * inverse_CDF(0.9)
Where inverse_CDF is the inverse cumulative distribution function and can be calculated using a calculator or statistical software. The value of X that corresponds to a cumulative probability of 0.9 is the IQ of an individual that is in the top 10% of the population.
johan reads that the mass of an average elephant's brain is 3 4/10 kilograms greater than an average man's brain. how many kilograms is an average elephant's brain?
Answer:
your answer is also the solve
Answer:
m + 3.4 kilograms.
Step-by-step explanation:
Let's call the mass of an average man's brain "m" kilograms.
According to the information given, the mass of an average elephant's brain is 3 4/10 kilograms greater than an average man's brain. This means that the mass of an average elephant's brain can be calculated as:
m + 3 4/10 = m + 3.4
So, the mass of an average elephant's brain is 3.4 kilograms greater than the mass of an average man's brain, which is m kilograms.
Therefore, the mass of an average elephant's brain is m + 3.4 kilograms.
Which interval describes where the graph of the function is positive?
The function is positive in the interval of (-∞, -1). Then the correct option is C.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The intersection point of the curve and x-axis is at (-1, 0).
Then the function is positive in the interval of (-∞, -1) and the the function is negative in the interval of (-1, ∞).
Thus, the correct option is C.
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An issue of Taunton fine woodworking included plans for a hall stand. The total height is 63 1/2 inches. If the base is 27 5/16 inches, how tall is the upper portion
Answer:
36 3/16
Step-by-step explanation:
63 1/2 -27 5/16
= 63 8/16 -27 5/16
= 36 3/16
Question Help: How much should be invested today at 6.25% compounded quarterly to have $18,000 in 13 years?
When 6.25% is compounded quarterly to get $18,000 in 13 years, the total amount is $22,478.16 in compound interest.
what is interest ?Divide the total by the yield curve, the length of time, and other factors to arrive the simple interest. Simple return = money + return + hours is the marketing formula. This method allows it easiest to calculating interest. The most typical technique to figure approximately interest is as a portion of the principal sum. He will only pay his share of the 100% extra, for example, if he borrows $100 from a neighbor and agrees to pay it back with 5% interest. $100 (0.05) = $5. When you borrow, you must pay interest, and when you give it out, you must charge interest. Interest is often determined like an indicator of the overall of both the loan total.
given
Amount = Principal (1 + rate of interest) number of years
= $1,200 (1 + 0.032) 8
= $1,200 1.286582318
= $22,478.16 is the amount in compound interest.
The remaining amount is $40,478.16.
When 6.25% is compounded quarterly to get $18,000 in 13 years, the total amount is $22,478.16 in compound interest.
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If Marshall met, but did not exceed, his goal, how many calls had he made in all after spending exactly 20 days making calls as a telemarketer? This is a arithmetic sequence SUM question. "In all" gives away that it's a "total" or "sum" question. Thus, you have to use the (20/2) × (24+119)= 1,430.
Marshall's total cost number of calls made after 20 days of telemarketing is 1,430, which is the sum of the sequence of 24 calls made on the first day and 119 calls made on the twentieth day.
Marshall has a goal of making 24 calls on the first day of telemarketing and increasing the number of calls by 5 each day for 20 days. This creates an arithmetic sequence which increases by 5 each day. The formula for the sum of an arithmetic sequence is (n/2) × (a + l), where n is the number of terms in the sequence, a is the first term and l is the last term. In this case, n = 20, a = 24, and l = 119. Plugging these values into the formula yields (20/2) × (24+119)= 1,430. This means that Marshall's total number of calls made after 20 days of telemarketing is 1,430, which is the sum of the sequence of 24 calls made on the first day and 119 calls made on the twentieth day.
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Step by Step please, list all information given by the marks on the diagram.
Answer:
C
Step-by-step explanation:
(4x + 1) and 57 are vertically opposite angles and are congruent, so
4x + 1 = 57 ( subtract 1 from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
Three girls share an amount of money. the eldest get b/3c of the total amount while the youngest gets b/6c of the total. what fraction does the third girl gets?
Answer:
(2c-b) / 2c
Step-by-step explanation:
b/6c + b/3c + y = 1,
Because these are fractions they must add up to 1.
Add and simplify,
(6bc + 3bc)/18c^2
b/2c + y = 1,
Make y the subject,
y = 1 - b/2c
y = (2c-b)/2c
There is a dodge ball with radius 10in and a soccer ball with radius 3in. Find how many times greater the _ volume of the dodge ball is than that of the soccer ball.It is 3.3 greater.It is 37 greater.It is 33 times greater.It is 3.7 times greater.
Option B is the correct answer. which is 37 times greater.
The volume of the sphere is defined as a measure of space that can be occupied by a sphere.
The general formula for the volume of a sphere is given:
V=4/3πr³.
where r is the radius
and the value of π is 3.17
As per the question r= 10 for dodgeball and r= 3 for the soccer ball.
substitute the values in the above formula
V₁=4/3π(10)³ and V₂=4/3π(3)³
Now divide V₁/V₂.
V=4/3π(10)³/4/3π(3)³
V=(10)³/(3)³
V=1000/27
V=37.03
so the volume of the dodgeball is 37 times greater than that of the soccer ball.
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Full question:
There is a dodgeball with a radius of 10in, and a soccer ball with a radius of 3in. Find how many times greater the volume of the dodgeball is than that of the soccer ball Select one 37 times 3.33 times 11.1 times 30 times
Write as a fraction in simplest form: 22%
Step-by-step explanation:
So 22% is 22% out of 100%
So
22/100
Now all you need is to simplify by dividing each side by 2
11/50