The equation that can be used to find the measure of angle LKJ is sin-1(8.9/10.9) = x.
Trigonometry is a branch of mathematics that studies the relationship between the sides and angles of triangles, especially right triangles.
An angle is a measure of the amount of rotation or inclination of two lines or planes about their intersection. Angles can be measured in degrees, radians, or grads.
An equation is a mathematical statement that demonstrates that two things are equal. An equation consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign.
Cosine is a trigonometric function that relates the ratio of the adjacent side of a right-angled triangle to the hypotenuse.
The sine function is a trigonometric function that is used to calculate the ratio of the length of the side opposite an acute angle in a right-angled triangle to the hypotenuse.
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Is -9 a real or imaginary number?
Answer:
-9 is a real number.
Hope you could get an idea from here.
Doubt clarification - use comment section.
find the surface area of the cylinder.Round your answer to the nearest tenth.
Answer:
The answer is 3438.16 i think
Step-by-step explanation:
A type of Dark Chocolate is made by mixing cocoa and cocoa butter in the ratio 5 to 2. Let C be an unspecified number of grams of cocoa, which vary, and let B be the corresponding number of grams needed to make that type of dark chocolate. Reason about quantities and use math drawings to explain three different equations that relate C and B (and do not include any other variables)
Here are three different equations that relate C and B:
1. B = (2/7) * C
2. B/C = 2/5
3. 5C = 2B
Different Equation Divided1. B = (2/7) * C
Since the ratio of cocoa to cocoa butter is 5:2, we can write 5 + 2 = 7, which represents the total number of parts. Dividing 2 by 7, we get 2/7, which represents the fraction of cocoa butter in the mixture. To find the number of grams of cocoa butter needed for C grams of cocoa, we multiply C by 2/7.
2. B/C = 2/5
Dividing the number of grams of cocoa butter (B) by the number of grams of cocoa (C), we get the ratio of cocoa butter to cocoa, which is 2/5.
3. 5C = 2B
Since the ratio of cocoa to cocoa butter is 5:2, we can write the equation 5 * C = 2 * B, which represents the number of parts of cocoa to the number of parts of cocoa butter. Solving for B in terms of C, we get B = (2/5) * C.
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The numerator of a fraction is 19 less than the denominator of the fraction. GIve that the fraction 2/9 is obtained when 1 is subtracted from the numerator and 1 is added to the denominator, fing the original fraction.
Answer:
\(\frac{7}{26}\)
Step-by-step explanation:
let x be the denominator of the fraction then x - 19 is the numerator , so
\(\frac{x-19}{x}\) ← is the original fraction
subtrating 1 from the numerator and adding 1 to the denominator , then
\(\frac{x-20}{x+1}\) = \(\frac{2}{9}\) ( cross- multiply )
9(x - 20) = 2(x + 1) ← distribute parenthesis on both sides
9x - 180 = 2x + 2 (subtract 2x from both sides )
7x - 180 = 2 ( add 180 to both sides )
7x = 182 ( divide both sides by 7 )
x = 26
Then the original fraction is
\(\frac{26-19}{26}\) = \(\frac{7}{26}\)
Each week, Maddy earns $b babysitting and receives $25 as her allowance.
To find how much she will earn in total over 5 weeks, Maddy creates the following expression:
b + 25 + b + 25 + b + 25 + b + 25 + b + 25
What is another way Maddy can calculate how much she will earn in total over 5 weeks?
Write at least one equivalent expression.
The algebraic expression to represent how much she earns over 5 weeks is 5(b + 25)
Algebraic ExpressionAlgebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
In this problem, Maddy can rewrite how much she earns over the period of 5 weeks as
5(b + 25)
b = amount she earns babysittingWe can also rewrite this as a general expression for the total number of weeks by adding a variable
n(b + 25)
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which is the best series on netflix ?
stranger things A jewellery shop is having a sale.
A bracelet is reduced to £240.
a) What is the original price?
A ring is reduced to £840.
This is 40% of the original price.
b) Work out the original price of this ring.A jewellery shop is having a sale.
A bracelet is reduced to £240.
a) What is the original price?
% of the original price.
b) Work out the original price of this ring.A jewellery shop is having a sale.
A bracelet is reduced to £240.
a) What is the original price?
A ring is reduced to £840.
This is 40% of the original price.
b) Work out the original price of this ring.A jewellery shop is having a sale.
A brace
A ring is reduced to £840.
This is 40% of the original price.
b) Work out the original price of this ring. yeey this is important
Answer:
on my block
Step-by-step explanation:
i really love it so you probably will too:)
Each marble bag sold by Deon's Marble Company contains 7 green marbles for every 5 yellow marbles. If a bag has 40 yellow marbles, how many green marbles does it contain?
Answer:
if a bag has 40 yellow marbles there will be 56 green marbles.
this may help you
Slope intercept formula
Answer:
y = mx + b
the is the slope intercept formula
Detecting nonrandomness in errors can be done using:
Multiple Choice
A. MAPs.
B. strategies.
C. correlation coefficients.
D. MSEs.
E. control charts.
The correct answer for detecting nonrandomness in errors is E. control charts. Control charts are a statistical tool used to monitor processes and detect deviations from randomness or expected behavior. They are commonly used in quality control and process improvement to identify any systematic or nonrandom patterns in the data.
Control charts help visualize data over time and compare it to predetermined control limits. If the data falls within these limits and shows a random pattern, it suggests that the process is stable and operating within acceptable limits of variation. However, if the data exhibits nonrandom patterns, such as trends, cycles, or unusual points, it indicates the presence of special causes or systematic errors in the process. By analyzing the control chart, individuals can identify the sources of nonrandomness, investigate the underlying causes, and take corrective actions to improve the process and reduce errors. Therefore, control charts provide an effective method to detect nonrandomness and ensure the quality and consistency of processes.
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PLEASE HELP WILL MARK BRAINLIEST
Answer:
18 m
Step-by-step explanation:
Answer:
18m
Step-by-step explanation:
PLEASE HELPP!!!!
Find the area.
A.530in²
B. 779in²
C.390in²
D.1060in²
Answer:
530in²
Step-by-step explanation:
Area of triangle(a)=1/2bh=1/2*40*26.5=530
at a grocery store each pound of apples cost 1.77. Lian weighs his bag of apples aand the scale shows they weigh 1.32LB how much ddo the apples coost
At a grocery store each pound of apples cost 1.77. Lian weighs his bag of apples and the scale shows they weigh 1.32LB. Therefore, the apples cost $2.34.
Lian weighs his bag of apples, and the scale shows they weigh 1.32LB.
The cost of each pound of apples = $1.77
We need to find out the cost of the apples.
Therefore, we need to multiply the weight of the apples with the cost of each pound of apples.
So, the cost of apples = weight of the apples × the cost of each pound of apples
Now, put the given values in the above formula, the cost of the apples = 1.32 × $1.77= $2.34
Hence, the cost of the apples will be $2.34.
Therefore, this is the required solution.
Note: Here, we have used the formula that is used to find the cost of something.
The formula is cost = weight × cost per unit weight.
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Ryan's friends have organized a treasure hunt. He is using the map below to find the clues. The position of the last clue, which
leads to the treasure, is located at point (-2,4).
6
+
2
2
-2
He figures that the treasure is 3 units either to the east or south of the location of the last clue. Which of these could be the
location of the treasure?
OA. point (1, 4) or point (-2, 1)
OB. point (-5, 4) or point (-2, 1)
OC. point (1, 1) or point (-5,7)
OD. point (1, 4) or point (-2,7)
Using translation concepts, it is found that the location of the treasure could be given by these following points:
A. point (1, 4) or point (-2, 1)
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
We consider that he is at point (-2,4), hence:
A shift east 3 units leads to point (1,4).A shift south 3 units leads to point (-2,1).Hence option A is correct.
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A Question 9 (3 points) Retake question 4Listen ► When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when? advances are not given for sho
When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when the advances are not given for shows. This is to ensure that the performer is fully committed to performing at the event and to cover any expenses that may be incurred in the process.
The advance fee is usually non-refundable and is paid by the promoter or venue operator to the booking agent. This is to show their commitment to the performer and to demonstrate that they are serious about booking them for the event. The remaining balance is then usually paid on the day of the performance or shortly after.
The booking agent should also ensure that all parties involved in the booking are aware of the terms and conditions and have signed a contract or agreement to confirm their agreement.
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2. To evaluate the effect of a treatment, a sample was obtained from a population with a mean of 9: Sample scores: 10,7,9,6, 10, 12, (a) Compute a 95% confidence interval for the population mean for the treatment group. (b) Compute Cohen's d to estimate the size of the described effect. (e) Perform a hypothesis test to decide whether the population ment of the treatment group is significantly different from the mean of the general population (dy Compute und interpret a Baves factor for the model (either Hoor Hi) with the best predictive adequacy. Key Compute und interpret the posterior model probability for the winning model chosen in part (a),
(a) The 95% confidence interval for the population mean of the treatment group is [7.02, 10.98].
(b) To calculate Cohen's d, we need the standard deviation of the sample. Using the given sample scores, the standard deviation is approximately 2.68. Cohen's d is then (9 - 8.31) / 2.68 = 0.26, indicating a small effect size.
(c) To perform a hypothesis test, we compare the sample mean of 8.31 (obtained from the given sample scores) with the population mean of 9. Using a t-test, assuming a significance level of 0.05 and a two-tailed test, we calculate the t-value as (8.31 - 9) / (2.68 / sqrt(6)) = -0.57. The critical t-value for a 95% confidence level with degrees of freedom of 5 (n-1) is 2.571. Since |-0.57| < 2.571, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference between the population mean of the treatment group and the mean of the general population.
(d) Bayesian factor (BF) represents the strength of evidence for one hypothesis over another. Without specific information about the alternative hypothesis, we cannot compute a Bayesian factor in this case.
(a) To compute a 95% confidence interval for the population mean of the treatment group, we can use the formula:
Confidence Interval = sample mean ± (t-value * standard error)
From the given sample scores, the sample mean is (10 + 7 + 9 + 6 + 10 + 12) / 6 = 8.31. The t-value for a 95% confidence level with degrees of freedom 5 (n-1) is 2.571. The standard error can be calculated as the sample standard deviation divided by the square root of the sample size.
Using the sample scores, the sample standard deviation is approximately 2.68. The standard error is then 2.68 / sqrt(6) ≈ 1.09.
Plugging in the values, the 95% confidence interval is 8.31 ± (2.571 * 1.09), which gives us [7.02, 10.98].
(b) Cohen's d is a measure of effect size, which indicates the standardized difference between the sample mean and the population mean. It is calculated by subtracting the population mean from the sample mean and dividing it by the standard deviation of the sample.
In this case, the population mean is given as 9. From the sample scores, we can calculate the sample mean and standard deviation. The sample mean is 8.31, and the standard deviation is approximately 2.68.
Using the formula, Cohen's d = (sample mean - population mean) / sample standard deviation, we get (8.31 - 9) / 2.68 ≈ 0.26. This suggests a small effect size.
(c) To perform a hypothesis test, we can compare the sample mean of the treatment group (8.31) with the mean of the general population (9) using a t-test. The null hypothesis assumes that the population mean of the treatment group is equal to the mean of the general population.
Using the sample scores, the standard deviation is approximately 2.68, and the sample size is 6. The t-value is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).
Plugging in the values, the t-value is (8.31 - 9) / (2.68 / sqrt(6)) ≈ -0.57. The critical t-value for a 95% confidence level with 5 degrees of freedom (n-1) is 2.571.
Since |-0.57| < 2.571, we fail to reject the null hypothesis. This means there is not enough evidence to suggest a significant difference between the population mean of the treatment group and the mean of the general population.
(d) Bayesian factor (BF) represents the strength of evidence for one hypothesis over another based on prior beliefs and data. However, to compute a Bayesian factor, we need specific information about the alternative hypothesis, which is not provided in the given question. Therefore, we cannot calculate a Bayesian factor in this case.
(a) The 95% confidence interval for the population mean of the treatment group is [7.02, 10.98].
(b) Cohen's d suggests a small effect size, with a value of approximately 0.26.
(c) The hypothesis test does not provide enough evidence to suggest a significant difference between the population mean of the treatment group and the mean of the general population.
(d) A Bayesian factor cannot be computed without information about the alternative hypothesis.
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In ΔJKL, the measure of ∠L=90°, JK = 5. 8 feet, and LJ = 4. 4 feet. Find the measure of ∠K to the nearest degree
Check the picture below.
Make sure your calculator is in Degree mode.
what 43 x 680 x 43 + 4 help me plz
Answer:
I believe it is 1257324
Step-by-step explanation:
hope this helped someone :) (also feel free to correct me if Im wrong)
Answer:
1,257,324
Step-by-step explanation:
1. Multiply 43 by 680 to get 29,240 x 43 +4
2. Multiply 29,240 by 43 to get 1,257,320
3. Add 4 to 1,257,320 to get 1,257,324
prove that the cardinality of the cross product of two sets is the cardinality of each individual set multiplied by each other
We need to use mathematical logic to prove that the cardinality of the cross product of two sets is the cardinality of each individual set multiplied by each other.
Let's take an example of two sets A and B.
Let's say, A={a, b} and B={1, 2, 3}
To find the cardinality of the cross-product of A and B, we need to make all possible ordered pairs with A and B.
{(a, 1), (a, 2), (a, 3), (b, 1), (b, 2), (b, 3)}
Counting the number of ordered pairs, we get six.
So, the cardinality of the cross-product of two sets A and B equals the cardinality of each set multiplied by the other. Here,
|A| = 2 and |B| = 3,
so |A x B| = 2 x 3
= 6.
Therefore, it is proved that the cardinality of the cross product of two sets is the cardinality of each individual set multiplied by each other.
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What is the value of the expression below when z=6
z²+3z-3
Answer:
51 I hope it will help you
Step-by-step explanation:
mark me as a brainlist answer
Answer:
51
Step-by-step explanation:
Plug in z
(6)^2 + 3(6) - 3
36+18-3
54-3= 51
Parveen scored 18 out of 25 in a maths test. What percentage did she score
Answer:
72%
Step-by-step explanation:
Express her score as a fraction and multiply by 100% to make the percentage
\(\frac{18}{25}\) × 100% = 18 × 4% = 72%
Answer:
72%
Step-by-step explanation:
Total score of Parveen in her math test
= 18/25
Total percentage she scored in her math test
= (18/25×100)%
= (18×4)%
= 72%
Hence, Parveen scored 72% in her math test.
he temperature moreased by 8' Fahrenheit
A meteorologia was monitonng the temperature outside in degrees Fahrenheit () and
wrote the expression 78 (6) - 5. Which statement best describes this expression?
A
The temperature started at 78°F and increased by "F. Then the temperature
decreased by Sº
The temperature started at 78°F and increased by 6°F Then the temperature
increased by 5°F
The temperature started at 78°F and decreased by G'. Then the temperature
decreased by 5°F
The temperature started at 78°F and decreased by 6°F. Then the temperature
increased by 5°F
O
Which expression is equivalent to 2.2 - 2.5?
A
2.5 -2.2
it is B The temperature started at 78°F and increased by 6°F Then the temperature increased by 5°F
Order the numbers from least to greatest. Put the lowest number on the left. 1 0.359 0.35
Answer:
0.35, 0.359, 1
Step-by-step explanation:
0.35 would be 0.350 meaning its less than 0.359
solve for x
\(\frac{7}{x+4}\) = 4
Give your answer as an improper fraction in its simplest form.
Answer:
-9/4 = x
Step-by-step explanation:
4 is the same as 4/1
this problem is a proportion which can be solved by cross-multiplying:
7 = 4(x+4)
7 = 4x + 16
-9 = 4x
-9/4 = x
Sarah has a loyalty card good for a 20% discount at her local grocery store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $39.25?
use the figure below to find requested values
The measure of angles m∠QTR and m∠PTQ are 98.25° and 81.75° respectively, using the angle N between intersecting tangents.
What is an angle between intersecting tangentsThe angle between two tangent lines which intersect at a point is 180 degrees minus the measure of the arc between the two points of tangency.
61.5 = 180 - arc PS
arc PS = 180 - 61.5
arc PS = 118.5
m∠QTR = 1/2 × (118.5 + 78) {intersecting chords}
m∠QTR = 196.5/2
m∠QTR = 98.25
m∠PTQ = [360 - 2(98.25)]/2 {one of the angles at a point}
m∠PTQ = 163.5/2
m∠PTQ = 81.75
Therefore, measure of angles m∠QTR and m∠PTQ are 98.25° and 81.75° respectively, using the angle N between intersecting tangents.
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A pharmacist mixed 800 mg of a liquid drug (sg = 0.8) in enough liquid to prepare 2 liters of a final product. what is the ratio strength of the final product?
The ratio strength of the final product is 1:0.4.
What is ratio strength?One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.
Drug strength = 800mg
whole volume =2ltrs
The ratio of the solution in 1 ltr is = 400 mg
The ratio strength of the solutions is = 1:0.4
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If g (x)= 3/2x+4, what is the value of g(2)?
Answer:
g(2) =7
Step-by-step explanation:
g (x)= 3/2x+4
Let x = 2
g (2)= 3/2 *2+4
= 3 +4
= 7
Answer: 3/8
Step-by-step explanation:
Put 2 as the x into the equation.
3/2(2)+4
Multiply 2•2
3/4+4
Add 4+4
3/8
Answer cannot be further simplified.
Each box holds 48 pencils. The chart below shows the number of pencils in 1 box and 5 boxes.
Help ASAP please
Answer: No, 6 boxes will give you 288 penicils.
Step-by-step explanation: 1 box is 48 penicils, so if use this to the other boxes (4x48) we get 192. Now with six boxes (6x48) we get 288.
Sketch the graph of y = x^2+2x-15 using your graphing calculator. What are the x-intercepts of this graph?
The intercept is 3 and 5
What is intercept?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
To find x- intercept, y=0
x² + 2x -15=0
x² -5x + 3x -15=0
x(x-5) - 3(x-5) = 0
(x-5)(x-3)=0
Hence, the x- intercept is 3 and 5.
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Using this information work out end-of-month surplus or deficit for November.
Ava has earned £160 in November and received £40 pocket money. She spent £40 on her phone, £50 on clothes and £25 on socialising. She is also saving, over 12 months, for Christmas presents that will cost £300 in total.
If your answer is a deficit show this with a negative number.
The end-of-month surplus for November for Ava is £60.
What is surplus?Surplus for Ava is the positive difference between his income and his monthly expenses and savings.
The surplus can be determined using the mathematical operations of addition and subtraction.
In November, Ava has excess income, which exceeded his monthly expenses and savings by £60.
Income:Earnings for November = £160
Pocket money received = £40
Total income = £200 (£160 + £40)
Savings for the year = £300
Monthly savings = £25 (£300/12)
Expenses:Phone £40
Clothes £50
Socializing £25
Total expenses = £115
Savings = £25
Expenses and savings = £140
Surplus = £60 (£200 - £140)
Thus, Ava has a surplus income of £60 for the month of November.
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