The correct option is D, Per the Central Limit Theorem the mean of the sampling distribution of the sample mean is equal to the population Mean.
The Central Limit Theorem (CLT) is a fundamental concept in probability theory and statistics. It states that if you take repeated random samples of a population, the sample means will follow a normal distribution, regardless of the shape of the population distribution, provided the sample size is large enough. This means that as the sample size increases, the sample mean becomes more and more normally distributed.
The CLT is important because it helps us to understand the properties of large samples, even when the population is not normally distributed. It is used in many areas of research, including social sciences, finance, engineering, and more. The theorem provides a powerful tool for estimating population parameters, such as the mean or variance, and for testing hypotheses about them. It also helps to explain why the normal distribution is so commonly observed in real-world data, and why it is often used as a model for statistical analysis.
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Complete Question:-
Per the Central Limit Theorem the mean of the sampling distribution of the sample mean is equal to the population:
a. Standard deviation divided by n
b. Mean divided by n
c. Standard Deviation divided by the square root of n
d. Mean
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $4995 to rent trucks plus an a
fee of $200.50 for each ton of sugar. The second company charges $6500 to rent trucks plus an additional fee of $125.25 for each ton of sugar.
For what amount of sugar do the two companies charge
the same?
tons
What is the cost when the two companies charge the
same?
Question 3
___tons??
$____??
The requried cost is $8995 when the two companies charge the same for transporting 20 tons of sugar.
To estimate the amount of sugar for which the two companies charge the same,
4995 + 200.50x = 6500 + 125.25x
Simplifying and solving for x, we get:
74.75x = 1505
x = 20
Therefore, the two companies charge the same when transporting 20 tons of sugar. To estimate the cost at this point, we can substitute x=20 into either equation:
For the first company:
cost = 4995 + 200.50(20) = $8995
For the second company:
cost = 6500 + 125.25(20) = $8995
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Three softball players discussed their batting averages after a game.
Probability
Player 1 four sevenths
Player 2 five eighths
Player 3 three sixths
By comparing the probabilities and interpreting the likelihood, which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Answer: B
Step-by-step explanation:
Player 1 = 4/7 = .57
Player 2 = 5/8 = .625
Player 3 = 3/6 = .5
a, not true P1 is not> than P2
b. is true P2>P1
c. not true P3 is not > than P1
d. not true P3 is not > than P2
if you are testing the null hypothesis with an alpha value of 0.05, will the critical value be smaller or larger than if you were testing the alpha value of 0.01? why?
When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.
If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.
This is because a larger alpha value represents a higher level of risk that you are willing to accept when rejecting the null hypothesis. A larger critical value means the rejection region is larger, making it more likely for you to reject the null hypothesis if the test statistic falls within that region.Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.
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What is the area
of my lawn if it measures 6m by 5. 2m?
If the lawn measures 6m by 5. 2m, the area of the lawn is 31.2 square meters.
To find the area of the lawn, we simply need to multiply the length by the width. In this case, we have a rectangular lawn that measures 6m by 5.2m.
Area = length x width
Area = 6m x 5.2m
Area = 31.2 square meters
It's important to note that when calculating area, the units are squared, which means we are multiplying two lengths together. In this case, we multiplied meters by meters to get square meters. This is because area is a two-dimensional measurement, whereas length and width are one-dimensional measurements.
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who gave settlers 160 acres of land in the great plains to build a house and plant crops
The US government gave settlers 160 acres of land in the Great Plains under the Homestead Act of 1862, allowing them to build a house and cultivate crops.
The Homestead Act of 1862 was signed into law by President Abraham Lincoln, which offered settlers the opportunity to claim up to 160 acres of land in the western United States. To be eligible for the land, settlers had to be at least 21 years old, the head of the household, and have lived on the land for at least five years.
They also had to cultivate the land and build a house on it. This act was intended to encourage settlement in the western territories and to promote agriculture in the area. The Great Plains were a prime location for the Homestead Act because the land was relatively flat and had fertile soil, which was suitable for farming.
By the end of the 19th century, over 600,000 claims had been made under the Homestead Act, and millions of acres of land were transferred from government ownership to private ownership.
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HELP ASAP !! What is a perfect square factor of 75?
A. 15
B. 25
C. 3
D. 5
Answer: the perfect square factor of 75 is 3
Step-by-step explanation:
Answer:
C. 3
Step-by-step explanation:
We just multiply 75 with 3 to make it a perfect square. This is because, 75 = 5 × 5 × 3.
In a rectangular park that measures 45 meters by 60 meters, a dog runs from one corner to the diagonally opposite corner. How far does the dog run?
The distance which the dog ran is equal to 75 meters.
What is Pythagorean theorem?In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):
x² + y² = z²
Where:
x, y, and z represents the length of sides or side lengths of any right-angled triangle.
Since this dog ran from one corner to the diagonally opposite corner, we can determine the distance which the dog ran by applying Pythagorean's theorem as follows;
x² + y² = z²
45² + 60² = z²
z² = 2,025 + 3600
z² = 5,625
z = √5,625
z = 75 meters.
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Mr. Gaygay has a P1,000-bill at the store, he asked that 2/5 exchanged into P50-bill and 1/2 into P100-bill and the rest into P20-bill. How many P50,P100, and P20 bills did he get?
Pls answer need it now!!! And please show an example
Mr. Gaygay received 8 P50-bills, 5 P100-bills, and 5 P20-bills.
How to solve for the billslet's calculate the amounts to be exchanged for each type of bill:
P50-bills: (2/5) * P1,000 = P400
P100-bills: (1/2) * P1,000 = P500
Since these two amounts account for P900, the remaining amount will be P1,000 - P900 = P100, which will be exchanged for P20-bills.
Next, we will find the number of each type of bill:
P50-bills: P400 / P50 = 8
P100-bills: P500 / P100 = 5
P20-bills: P100 / P20 = 5
So, Mr. Gaygay received 8 P50-bills, 5 P100-bills, and 5 P20-bills.
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write a system of two equations in two unknowns. do not solve the system. in a certain village, there are w wizards and n necromancers for a total of 30 magical people. there are six more necromancers than there are wizards. write a system of equations that determines the numbers of wizards and the number of necromancers. w n
The system of equations that describes the number of wizards and necromancers in the village is: w + n = 30 n = w + 6.
Let's denote the number of wizards as 'w' and the number of necromancers as 'n'.
From the problem, we know that there are a total of 30 magical people in the village. Therefore, our first equation is simply: w + n = 30. Additionally, we're told that there are six more necromancers than wizards. This means that:
n = w + 6.
We can substitute this second equation into the first to get: w + (w + 6) = 30. Simplifying this equation gives us: 2w + 6 = 30
This is as far as we can simplify the equations without solving for 'w' and 'n'. These equations can be used to determine the values of 'w' and 'n' by solving the system of equations using algebraic methods.
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Alex collects x
marbles, and his friend collects twice the number of marbles he collects. If the sum of Alex’s and his friend’s collection is more than 18
, which number line represents the number of marbles Alex collects?
The total number of marbles collected by Alex is given by the inequality relation x > 6 , and the graph is plotted
Given data ,
Let the number of marbles collected by Alex be x
And , Alex's friend collects twice the number of marbles = 2x
Now , the sum of Alex’s and his friend’s collection is more than 18
So , ( x + 2x ) > 18
On simplifying , we get
3x > 18
Divide by 3 on both sides , we get
x > 6
Hence , the inequality is x > 6 , where x is the number of marbles collected by Alex
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a sample of holiday shoppers is taken randomly from a local mall to determine the average daily spending on gifts. from a preselected sample, the standard deviation was determined to be $26. you would like to construct a 90% confidence interval for the mean daily spending on all holiday spending. find the appropriate sample size necessary to achieve a margin of error of $8.
A sample size of at least 29 is necessary to achieve a margin of error of $8 for a 90% confidence interval of the mean daily spending on all holiday spending.
The following equation may be used to calculate a confidence interval's margin of error:
Margin of error = z * [tex](\frac{standard\: deviation} {\sqrt{(sample\:\: size)} }\:)[/tex]
We want the margin of error to be $8, so we can set up the following equation:
[tex]$8 = 1.645 * (\$26 / \sqrt{(sample\: size))[/tex]
To solve for the sample size, we need to isolate the variable "sample size" on one side of the equation:
[tex]\sqrt{(sample\: size)} = 1.645 * (\$26 / \$8)\\\sqrt{(sample\: size)} = 5.365[/tex]
sample size = [tex](5.365)^2[/tex]
sample size = 28.8
We can round up to the nearest whole number to ensure that the sample size is large enough:
sample size = 29
Margin of error refers to the range of possible values that a statistical result may vary from the actual population parameter. It is a measure of the precision of a survey or poll's results and indicates how much confidence one can have in the results.
When conducting a survey or poll, researchers typically take a sample from a larger population and use statistical techniques to estimate the parameters of interest, such as the mean or proportion. The margin of error is then calculated based on the sample size, level of confidence, and the variability of the data. It's important to consider the margin of error when interpreting survey results to avoid making incorrect conclusions or assumptions.
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31. The table shows a relation that is a function, where x
is the input and y is the output.
Answer: 4, 5, 6, and 7
Step-by-step explanation:
In mathematics, a function is a relationship between inputs where each input is related to exactly one output.
So for the answer choices to work, they cannot have any of the x values that are already included in the table.
That eliminates 1, 2, and 3 as their x values are already in the table.
So the answer is 4, 5, 6, and 7
The approximate circumference of a circle is 7,459 miles. What is the diameter rounded to the nearest hundredths place? Use 3.14 for π. fill in the blank
___miles
We know that the circumference C of a circle is related to its diameter d by the formula:
C = πd
We are given that the circumference of the circle is approximately 7,459 miles. Substituting this into the formula above and solving for the diameter d, we get:
d = C/π
d = 7,459/3.14
d ≈ 2375.477707
Rounding to the nearest hundredths place, the diameter is approximately 2375.48 miles.
Therefore, the answer to fill in the blank is 2375.48miles.
Answer:
2374,27 miles
Step-by-step explanation:
diameter of circle = circumference/3.14
d = 7359 / 3.14 = 2374.27 miles
What is the value of the expression 5y2 + 10y-2when y=4
Answer:
118
Step-by-step explanation:
5y² + 10y - 2 y = 4
5(4)² + 10(4) - 2
= 5(16) + 40 - 2
= 80 + 40 - 2
= 120 - 2
= 118
To find the value of the expression 5y^2 + 10y - 2 when y = 4, we can substitute y = 4 in the expression and simplify as follows:
5y^2 + 10y - 2, when y = 4
= 5(4)^2 + 10(4) - 2 [Substituting y = 4]
= 5(16) + 40 - 2
= 80 + 38
= 118
Therefore, the value of the expression 5y^2 + 10y - 2 when y = 4 is 118.
Write an equivalent expression by distributing the "
−
−" sign outside the parentheses:
−(4m−0. 2n−5. 5)
The equivalent expression is -4m + 10n + 10
What are algebraic expressions?It is important to know that algebraic expressions are described as expressions that are composed of terms, variables, constants, factors and coefficient of variables.
These algebraic expressions are also made up of mathematical operations.
These operations includes;
AdditionBracketParenthesesDivisionSubtractionMultiplicationNote that equivalent expressions have the same solution, we have;
−(4m - 0- 2n - 5. 5)
expand the bracket, we have
-(4m - 10n - 10)
remove the parentheses
-4m + 10n + 10
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Given that x = 9.5 m and θ = 37°, work out AB rounded to 3 SF.
Answer:
The answer for y is
12.607m to 3SF
Step-by-step explanation:
tan0=x/AB
let AB be y
tan37°=9.5/y
tan37y=9.5
divide both sides by tan37
tan37y/tan37=9.5/tan37
y=12.607m to 3 significant figures
Help me fast please I’m stuck
Answer
QR=22.22%
PQ=44.44%
RS=33.33%
Not RS= 77.78%
Explanation
Probability is about determining how much of a part takes up the whole. In this case, the whole is 18, because this is the total length.
For QR, the length of the segment is 4, so we can say 4/18 because the segment is 4 parts of the 18 total length.
To determine percent, we divide and multiply by 100%
4/18=0.2222*100%=22.22%
Similarly, PQ is 8 parts of the whole 18, so
8/18=0.4444*100%=44.44%
And RS is:
6/18=0.3333*100%= 33.33%
We can verify that we are correct by adding all these percentages together, knowing that they should equal 100%. Here, we add them and get 99.99%, which verifies we are correct. There is an error of .01% because we have been rounding.
Finally, the parts that are not RS are QR and PQ, so we must add QR and PQ to determine how many parts they are of the 18 whole.
QR+PQ= 14/18=0.7778*100%= 77.78%
Find the value of c. Give your answer in degrees (). 30° 51° с
Answer:
C = 18°
Step-by-step explanation:
You want the value of angle C in the given figure.
Remote interior anglesThe angle marked X in the attachment is an exterior angle to the left triangle. As such, its measure is the sum of the remote interior angles, marked 30° and 51°.
X = 30° +51° = 81°
Isosceles triangleThe angle marked X is one of two congruent base angles of the isosceles triangle on the right. That means ...
C = 180° -2X = 180° -2(81°)
C = 18°
The value of C is 18°.
An event has 8 adults and 12 children. The event planner wants to make each table identical, with the same combination of adults and children and no people left over. What is the greatest number of tables the planner can set up?
Answer:
Step-by-step explanation:
To make each table identical, we need to find the greatest common divisor (GCD) of 8 and 12, which will give us the maximum number of people that can be seated at each table.
We can find the GCD using the Euclidean algorithm:
12 = 8 × 1 + 4
8 = 4 × 2 + 0
Since the remainder is 0, the GCD of 8 and 12 is 4.
Therefore, the event planner can set up tables with 4 people at each table (2 adults and 2 children).
There are a total of 20 people (8 adults + 12 children), so the number of tables needed is:
20 ÷ 4 = 5
Thus, the greatest number of tables the planner can set up is 5.
The two lines below are parallel if the slope of the red line is 3 what is the slope for the green line
The slope for the green line is 3.
What is the slope of the green line?Slope is simply the measure of the steepness or incline of a line.
It the ratio of the vertical change between two points on a line to the horizontal change between the same two points.
Change in y-axis over change in x-axis.
If the two lines, red and green, are parallel, then they have the same slope.
Hence,
If the slope of the red line is 3, then the slope of the green line is also 3.
This is a fundamental property of parallel lines.
Therefore, the green line has slope of 3.
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13. Write an equation in slope intercept form given m = -25 and point ( 30.450)
Part B: If the input is 20 what is the output?
[tex](\stackrel{x_1}{30}~,~\stackrel{y_1}{450})\hspace{10em} \stackrel{slope}{m} ~=~ - 25 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{450}=\stackrel{m}{- 25}(x-\stackrel{x_1}{30}) \\\\\\ y-450=-25x+750\implies \boxed{y=-25x+1200} \\\\\\ \stackrel{\textit{if x = 20, what's "y"?}}{y=-25(20)+1200}\implies \boxed{y=200}[/tex]
to test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the jacobs chemical company obtained the following data on the time (in minutes) needed to mix the material. manufacturer 1 2 3 24 31 19 30 29 18 28 34 22 26 30 21 a. use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. use . compute the values below (to decimals, if necessary). sum of squares, treatment sum of squares, error mean squares, treatment mean squares, error calculate the value of the test statistic (to decimals). the -value is - select your answer - what is your conclusion? - select your answer - b. at the level of significance, use fisher's lsd procedure to test for the equality of the means for manufacturers and . calculate fisher's lsd value (to decimals). what conclusion can you draw after carrying out this test?
(a) We reject the null hypothesis that the population mean times for mixing a batch of material are the same for the three manufacturers at a significance level of 0.05. (b) Using Fisher's LSD procedure, we conclude that the means of manufacturers 1 and 2 are significantly different.
a) Using ANOVA to test the equality of the means for the three manufacturers, we find that the sum of squares for treatment is 260.80, sum of squares for error is 93.60, mean squares for treatment is 86.93, and mean squares for error is 7.40. The test statistic F is 11.74 with a p-value of 0.002. We reject the null hypothesis that the population mean times for mixing a batch of material are the same for the three manufacturers.
b) Using Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 2, we find that the LSD value is 5.05. Since the difference between the means of manufacturers 1 and 2 (4.33) is greater than the LSD value, we can conclude that the means are significantly different.
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Victoria used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below
The probability of getting a blue marble and coin tails up is 540 / 2500.
Given that, Victoria is having a bag of three colored marbles and 50 coins in a bag,
Blue marbles = 18
Green = 20
Yellow = 12
Head up Coin = 20
Tails up coins = 30
So, P(E) = favorable outcomes / total number of outcomes
P(A and B) = P(A) × P(B)
P(A) = Getting a blue marble = 18/50
P(B) = Getting a coin inn which tail is upside = 30 / 50
P(A and B) = 18/50 x 30/50 = 540/2500
Hence, the probability of getting a blue marble and coin tails up is 540 / 2500.
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what constant phase is associated with the zeta equals fraction numerator square root of 2 over denominator 2 end fraction radial line? answer as a positive integer angle is degrees. recall that the phase is the angle from the the positive real-axis.
The constant phase associated with the complex number represented by the radial line with polar coordinates (|z|, θ) = (√(2)/2, 135°) is found out being 135°.
The constant phase associated with the complex number represented by the radial line with polar coordinates (|z|, θ) = (√(2)/2, 135°) is 135°.
To see why, we can first express the complex number in rectangular form:
z = (√(2)/2) x exp(i x 135°) = (√(2)/2) x cos(135°) + (√(2)/2) x i x sin(135°) = (-1 + i) / √(2)
The angle θ associated with this complex number can be found using the arctangent function:
θ = arctan(Im(z) / Re(z)) = arctan((√(2)/2) / (-√(2)/2)) = -45°
However, since we want the angle measured from the positive real axis, we need to add 180° to get:
θ = -45° + 180° = 135°
Therefore, the constant phase associated with the complex number represented by the radial line with polar coordinates (|z|, θ) = (√(2)/2, 135°) is 135°.
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10 times z to the 2nd power plus 2 equals 1400
10z2+2=1400
FIND z
How does each inverse function f^-1 (x) from part A relate to its original function? Describe the relationship in terms of the context for each situation. Do this for each of the three models:
The answer of the given question based on models are , Model 1 = e⁽⁽ˣ⁻³⁾/²⁾ , Model 2 = (x/3)³ - 4 , Model 3 = (15x-y)/(y-5) .
What is Inverse function?An inverse function is a function that undoes the effect of another function. Specifically, if a function f maps an input value x to an output value y, then the inverse function f⁻¹ maps the output value y back to the original input value x. In other words, the inverse function "reverses" the mapping of the original function.
In each of these models, the inverse function f⁻¹(x) represents the input value (x) that would yield a particular output value (y) of the original function f(x).
In Model 1, the inverse function f⁻¹(x) is e⁽⁽ˣ⁻³⁾/²⁾, which represents the number of hours required to produce a certain amount of fresh water. The inverse function allows us to determine how long it would take to produce a specific amount of fresh water, given the rate of production provided by the original function.
In Model 2, the inverse function f⁻¹(x) is (x/3)³ - 4, which represents the number of units of product A needed to generate a certain amount of profit. The cube root function is used to represent the relationship between the profit and the number of units sold. The inverse function allows us to determine how many units need to be sold to achieve a specific level of profit.
In Model 3, the inverse function f⁻¹(x) is (15x-y)/(y-5), where y represents the number of penguins. This function represents the number of years that have passed since 2012 to achieve a certain population of penguins. The rational function is used to represent the relationship between the population of penguins and the number of years that have passed. The inverse function allows us to determine how many years have passed to achieve a specific population of penguins.
Overall, the inverse function provides a way to determine the input value that corresponds to a particular output value of the original function. This information can be useful in understanding the behavior and relationships between variables in each of these models.
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2 Write an equation that models the linear
relationship in the table below:
a. slope:
b. y-intercept:
c. equation of line:
The linear equation modeling the given relationship is y = 150 + 200x, where y is the fees and x is the time in hours.
Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Given that,
Registration fee for a new client = $150
There is also a fees of $200 per hour.
If x represents the hours, then the additional fees for x hours is 200x.
Total fees, y = 150 + 200x
If x = 0 hours, then y = $150
If x = 1 hour, y = 150 + (200 × 1) = $350
If x = 3 hours, y = 150 + (200 × 3) = $750
If x = 4 hours, y = 150 + (200 × 4) = $950
If x = 7 hours, y = 150 + (200 × 7) = $1550
Hence the linear equation modeling the situation is y = 150 + 200x.
If x = 0, 1, 3, 4 and 7, the values of y are 150, 350, 750, 950 and 1550.
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complete question:
Kevin runs a legal services company. He charges a registration fee of $150 when a new client is registered. He will then meet with the client to discuss their legal needs and bills they $200 per hour. Write an linear equation that models this relationship.
Fill in the table using the linear equation that models this relationship
x y
0
1
3
4
7
Calista's finish times are recorded in the table. She cannot tell which number is for which year.. Based on the data in the table above, when did Calista likely record Finish Time A? explain?
Last year, because finish times were greater last year, on average, as compared to this year. Therefore, the correct option is D.
We can see that finish time A is larger (by 2 seconds) than finish time B, so we can assume that the mean for year A will be larger than the mean for year B.
On the other table, we can see that last year the average was larger (16.2 s compared with 14.7 s this year).
Then we can assume that Finish Time A was recorded last year, just because the mean of last year was larger.
Therefore, the correct option is D.
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"Your question is incomplete, probably the complete question/missing part is:"
The first table shows the measures of variability for finish times of 30 runners in the 100-meter dash. Calista’s finish times are recorded in the second table. She cannot tell which number is for which year. Based on the data table, when did Calista likely record Finish Time A? Explain.
A. This year, because finish times were less this year, on average, as compared to last year.
B. Last year, because finish times were less last year, on average, as compared to this year.
C. This year, because finish times were greater this year, on average, as compared to last year.
D. Last year, because finish times were greater last year, on average, as compared to this year.
What is 125% of 112
Multiplying decimals
Answer:
The answer to this question is 140
Answer: 140
Step-by-step explanation:
1.25 * 112 =140
Because the percent is bigger than 100% your answer will be bigger than the number you started with 112, so 140 makes sense
directions solve for x, round sll answers to the nearest tenth.
The values of x in each of the triangles is given thus;
5. x = 11. 87
6. x = 27. 19
7. x = 4. 56
8. x = 42. 38
9. x = 36. 87 degrees
10. x = 18. 32 degrees
How to determine the valuesIt is important to note the trigonometric identities in mathematics are;
sine tangentcosinecosecantsecantcotangentThe different ratios are;
sin θ = opposite/hypotenuse
tan θ = opposite/adjacent
cos θ = adjacent/hypotenuse
From the information given, we have;
1. Using the cosine identity;
cos 32 = x/14
cross multiply the values
x = 11. 87
2. Using the sine identity;
sin 54 = 22/x
x = 27. 19
3. Using the tangent identity;
tan 75 = 17/x
cross multiply
x = 4. 56
4. cos 43 = 31/x
cross multiply the values
x = 42. 38
5. tan x = 9/12
divide the values
tan x = 0.75
find the inverse
x = 36. 87 degrees
6. sin x = 11/35
Divide the values
sin x = 0. 3142
x = 18. 32 degrees
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