We have determined that side c ≈ 8.1241 units and angle LB ≈ 67°. The triangle is now completely solved.
To solve the triangle using the Law of Sines, we need to find the remaining side lengths or angles. Given that LA = 44°, LC = 69°, and side a = 6 units, we can proceed as follows:
1. Write down the Law of Sines:
sin(A)/a = sin(C)/c
2. Substitute the given values into the equation:
sin(44°)/6 = sin(69°)/c
3. Rearrange the equation to solve for c:
c = (6 * sin(69°)) / sin(44°)
4. Using a calculator, evaluate the expression:
c ≈ (6 * 0.9397) / 0.6947 ≈ 8.1241 units
5. Now, to find the remaining angle, we can use the fact that the sum of angles in a triangle is 180°:
LB = 180° - LA - LC = 180° - 44° - 69° = 67°
Therefore, we have determined that side c ≈ 8.1241 units and angle LB ≈ 67°. The triangle is now completely solved.
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As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution a. becomes larger. b. becomes smaller. c. stays the same. d. fluctuates.
As the number of degrees of freedom for a t-distribution increases, the difference between the t-distribution and the standard normal distribution (b) becomes smaller.
As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution becomes smaller. This is because as the degrees of freedom increase, the t distribution approaches the normal distribution in shape and becomes more concentrated around the mean. Therefore, the t distribution becomes more similar to the standard normal distribution, which has a mean of 0 and a standard deviation of 1. So, the correct answer is b. becomes smaller.
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Find the measure of angle B given sin B = 3/8
Answer:
Step-by-step explanation:
You have to use a calculator to take the inverse sine of 3/8
∠B = 22 degrees
Answer:
B=22 degrees
Step-by-step explanation:
You have to use a calculator to take the inverse sine of 3/8
Suppose that X represents diameter measurements from a gamma distribution with a mean of 3 millimeters
and a variance of 1.5 square-millimeters. Find the parameters and r.
The parameters for the gamma distribution are \(\lambda\) = 6 and r = 0.5, assuming that X represents diameter measurements from a gamma distribution with a mean of 3 millimeters and a variance of 1.5 square millimeters.
In a gamma distribution, the mean \((\mu)\) and variance \((\sigma^2)\) are related to the shape parameter \((\lambda)\) and the scale parameter (r) as follows:
\(\mu = \lambda \times r\)
\(\sigma^2 = \lambda \times r^2\)
From the given information, we have:
\(\mu\) = 3 millimeters
\(\sigma^2\) = 1.5 square millimeters
To find the parameters \(\lambda\) and r, we can solve these two equations simultaneously.
First, let's solve the first equation for \(\lambda\):
\(\lambda = \frac{\mu}{r}\)
Substituting the given value for \(\mu\), we have:
\(\lambda = \frac{3}{r}\)
Now, let's substitute this value of \(\lambda\) into the second equation:
\(\sigma^2 = \lambda \times r^2\)
\(1.5 = \frac{3}{r} \times r^2\)
1.5 = 3r
Simplifying the equation, we have:
r = \(\frac{1.5}{3}\)
r = 0.5
Now that we have the value of r, we can substitute it back into the equation for \(\lambda\):
\(\lambda = \frac{3}{r}\)
\(\lambda = \frac{3}{0.5}\)
\(\lambda\) = 6
Therefore, the parameters for the gamma distribution in this case are:
\(\lambda\) = 6 and r = 0.5
These values indicate that the shape parameter \((\lambda)\)is 6 and the scale parameter (r) is 0.5. They determine the shape and scale of the gamma distribution, which describes the diameter measurements in this scenario.
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Complete Question:
Suppose that X represents diameter measurements from a gamma distribution with a mean of 3 millimeters and a variance of 1.5 square millimeters. Find the parameters \(\lambda\) and r.
Are the ratios 5:4 and 19:12 equivalent?
Answer: No
Step-by-step explanation: Let's look at one pair at a time. In order to go from 5 to 19 you would need to multiply 5 by 3.8, and to go from 4 to 12 you would need to multiply 4 by 3
3/10 divided divided by 6 =
Answer:
.05 or 1/20
Step-by-step explanation:
If you meant 3/10 divided by 6 then the answer is .05 aka 1/20
May I have brainliest if this helped you?
Hope this helped!!
Bella was here :)
You either meant the fraction 3/10 by 6 or 3 divided 10 divided by 6
Since I am not sure which one, I will do the work for both
1. 3/10 / 6
Convert 6 into a fraction
6 = 5 10/10
5 10/10=50/10
3/10 / 50/10
3/10 * 10/50 = 30/500
30/500= 3/50
3/50
2. 3 divided by 10 divided by 6
3 divided by 10 = 0.3
0.3 divided by 6 = 0.05
0.05
Hope this helps
solve each equation by completing the square
\(x^{2} -34x+289=0\)
After completing the square, the equation is ____ and the solution is _________
WHOEVER ANSWERS CORRECTLY WILL BE MARKED BRAINLIEST
Answer:
x = 17------------------------------------------------
Complete the square as follows:
x² - 34x + 289 = 0x² - 2*17*x + 17² = 0 Identity (a ± b)² = a² ± 2ab + b²(x - 17)² = 0x - 17 = 0 Square root both sidesx = 17PLEASE help
Allen mixes 1 cup of water that is 150°F and 1 cup of cold chicken broth that is 50°F. The end temperature of the mixture would be about___________
. Chris combines 2 cups of soup that is 50°F with 1 cup of water that is 150°F. The end temperature of the mixture would be ______
Answer:
1) 100 degrees F
2) 50 degrees F
Step-by-step explanation:
its just simple subtraction
Which of the following is a counterexample to the given statement?
The name of every month ends in the letter y.
a. January
b. July
C February
d. December
The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right option is (c) February.
What is a counterexample?
In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.
Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."
Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.
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mzCTS= 105°, mZUTC = 2x + 24, and m/ UTS = x + 129. Find m/ UTS.
Answer:
< UTS = 129
Step-by-step explanation:
< UTS= <CTS+ < UTC
x + 129 = 105+ 2x + 24
Combine like terms
x+129=2x+129
Subtract x from each side
129 +x-x = 2x-x+129
129 = x+129
Subtract 129 from each side
129-129 = x+129-129
0 =x
< UTS = x + 129 = 0+129 =129
Write 640 g as a fraction of 4.8 kg. Give your answer in its simplest form,
Answer:
Step-by-step explanation:
640g=640g
4.8kg=4800g
640g/4800g=2/15
How do I solve both equations ?
Answer:
a) 56.25 mph
b) $1.59/lb
Step-by-step explanation:
The units of the "unit rate" tell you the math operation you need to perform.
a)Miles per hour (mi/h) is found by dividing miles by hours.
(450 mi)/(8 h) = (450/8) mi/h = 56.25 mi/h
b)
Dollars per pound ($/pound) is found by dividing dollars by pounds.
($7.95)/(5 pounds) = (7.95/5) $/pound = 1.59 $/pound
__
Additional comment
In the context of unit rates, "per" means "divided by."
What makes a rate a "unit rate" is the "1 unit" in the denominator. For miles per hour, the denominator is 1 hour. For dollars per pound, the denominator is 1 pound.
sara has a difficult relationship with her father. he gets angry with her after learning that she sold twelve cents worth of rice for ten cents. how does she respond?
Their young daughter was starting to feel threatened by her father's actions. Despite Sara's pleadings for him to show her compassion, he maintained that he had the right to act however he pleased because he was her father.
Sara's husband harassed the couple through texts, calls, and threats to take their kid away while Sara and her husband were away from the house. Once, when he visited the house, he acted in such a menacing and violent way that Sara was worried and called the police. Despite being jailed, her spouse was not charged. He asserted that she had called the police to support her case against him. Red may be blood or even the result of a clean cut. Because individuals are hurt and bleed when they do, I believe blood would be the best. According to Johari Window, Sara is a Hidden Area or Hidden Self form of self. We refer to the information you withhold from others as a secret area.
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When converting, if you go from a larger unit to a smaller unit you will _____________. Divide Multiply Subtract Add
Answer:
Dividing or Subtracting
Step-by-step explanation:
Answer:
multiply
Step-by-step explanation:
When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.
$ 1,012,481.37
-926,399.76
Answer: $86,081.61
Step-by-step explanation:
Answer: 986,081.61
Step-by-step explanation:
chicken wings, chicken tenders or chicken nuggets
Answer:
Chicken wings and tender and nuggets YUMMMMM
Step-by-step explanation:
3x-y=6
-4x+2y=-8 solve using substitution method
Answer:
x= 3y+2
Step-by-step explanation:
A certain island contains 540 cats and 675 dogs. What is the ratio of cats to dogs on this island?
Answer:
4 : 5
Step-by-step explanation:
every 4 cats there are 5 dogs
The ratio of cats to dogs is 4 : 5
The ratio of cats to dogs is:
Number of cats : Number of dogs
540 : 675
Now you take them down to their lowest terms by dividing both numbers by their highest common factor.
The highest common factor of 540 and 675 is 135 so divide both sides by 135:
540 / 135 : 675 / 135
4 : 5
The ratio of cats to dogs is therefore 4 : 5.
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a class has 30 students. what is the probability that at least two people in this class share the same birthday?
To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.
If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:
365/365 * 364/365 * 363/365 * ... * 336/365
This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).
Calculating this probability gives us:
(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937
So the probability that no two people in the class share the same birthday is approximately 0.2937.
Using the complement rule, the probability that at least two people in the class share the same birthday is:
1 - 0.2937 = 0.7063
Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.
Nice Drink Company produce many type of oft drink, including Cola. The amount of oda in each can of Cola ha a normal ditribution with a mean of 12 ounce and a tandard deviation of 0. 50 ounce. What i the probability that a randomly elected can of Cola contain
The probability that a randomly selected can of Cola contains less than 11 ounces of soda is approximately 2.28%.
To find the probability, you need to use the standard normal distribution and convert the value of 11 ounces to a standard score (z-score). Then you can look up the z-score in a standard normal table to find the corresponding cumulative probability.
Here's the calculation for the z-score:
z = (11 - 12) / 0.50 = -2
Using a standard normal table, you can find that the cumulative probability for a z-score of -2 is approximately 0.0228, or 2.28%.
So, the probability that a randomly selected can of Cola contains less than 11 ounces of soda is approximately 2.28%.
This means that there is a 2.28% chance that a randomly selected can of Cola will contain less than 11 ounces of soda. It is important to note that this result is based on the assumption that the amount of soda in each can of Cola follows a normal distribution with 12 ounces on average, with a 0.50 ounce standard deviation.
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The complete question is:
Nice Drink Company produce many type of oft drink, including Cola. The amount of oda in each can of Cola ha a normal ditribution with a mean of 12 ounce and a tandard deviation of 0. 50 ounce. What i the probability that a randomly elected can of Cola contain less than 11 ounces of soda?
How do you make comparisons between an equation and a table?.
Overall, equations provide a mathematical representation and understanding of relationships, while tables present data points in a structured format.
When comparing an equation and a table, you can examine their characteristics, purpose, and the information they provide. Here are some points to consider when making comparisons:
Representation:
An equation represents a mathematical relationship between variables using symbols and mathematical operations. A table presents data or values in a structured format, typically organized into rows and columns.
Communication of Information:
Equations provide a concise and general representation of a relationship, allowing for predictions, calculations, and modeling. Tables present specific data points or values, providing a visual representation of how variables are related or how they change.
Variables:
Equations involve variables, which can be manipulated to explore different scenarios and analyze the relationship between quantities. Tables display specific values or data points for variables, showing how they vary or are related based on the given information.
Visualization:
Equations can express relationships symbolically and provide a mathematical understanding, but they may not offer a visual representation of data. Tables provide a visual representation of data points, allowing for a quick overview and easy comparison of values.
Flexibility:
Equations offer flexibility in terms of adjusting variables and parameters to explore different scenarios and make predictions. Tables can be easily modified or expanded by adding or removing data points to reflect new observations or additional information.
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What is the value for y?
Answer:
2
Step-by-step explanation:
Leon says that when any number between 1 and 9 is multiplied by 0 , the product always has a 0 or 5 in the ones place. Is this reasonable? explain
Answer:
No
Step-by-step explanation:
Any number multiplied by 0 is 0
4 × 0 = 0 , n × 0 = 0
y = 8x when -5x - 5y = 0
Therefore, the solution of the given problem of expressions comes out to be the only solution is the point (0, 0), which fulfills both equations.
What does an expression precisely mean?Expressions is preferable to use movable numeral variables, which can be rising, decreasing, or blocking, rather than generating approximations at random. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. A declaration of truth equation may contain the justifications, components, and mathematical notes for strategies like extra disapproval, manufacture, and mixture.
Here,
We receive the following equation:
=> -5x - 5y = 0
By dividing both parts of this equation by -5, we can make it simpler:
=> x + y = 0
We can now calculate y in terms of x:
=> x + y = 0
=> y = -x
Adding this expression for y to the formula $y = 8x$ results in the following:
=> -x = 8x
When we simplify this solution, we obtain:
=> -9x = 0
Adding -9 to both edges gives us:
=> x = 0
As a result, the following is the system of equations' solution:
=> x = 0 and y = 0
As a result, the only solution is the point (0, 0), which fulfills both equations.
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Complete question:
Find the value of y and x.
y = 8x when -5x - 5y = 0
Claim: The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 138 adult males, the pulse rates have a standard deviation of 12.3 bpm. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.)
The test statistic is 144.90
Explanation: To find the value of the test statistic, we will use the formula for the chi-square test statistic for standard deviation:
Test statistic = (n - 1) * (s^2) / (σ^2)
where n is the sample size, s is the sample standard deviation, and σ is the hypothesized population standard deviation.
Given:
- The hypothesized population standard deviation (σ) is 12 bpm (from the claim)
- The sample size (n) is 138 adult males
- The sample standard deviation (s) is 12.3 bpm
Now, plug the given values into the formula:
Test statistic = (138 - 1) * (12.3^2) / (12^2)
Test statistic = (137) * (151.29) / (144)
Test statistic = 20866.53 / 144
Test statistic ≈ 144.90
So, the value of the test statistic is approximately 144.90 (rounded to two decimal places).
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plz help will give brainliest
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
Group of answer choices
6
−3
−6
3
Answer:
6 because it goes up 6 and ya
a smaller p-value provides stronger evidence against the null hypothesis. group of answer choices
O True O False
Therefore, the statement "a smaller p-value provides stronger evidence against the null hypothesis" is True.
True. A smaller p-value indicates that there is less probability of obtaining the observed result by chance alone, providing stronger evidence against the null hypothesis. Explanation: The p-value is the probability of obtaining a test statistic as extreme as or more extreme than the observed result, assuming the null hypothesis is true. A smaller p-value indicates that the observed result is less likely to occur by chance alone, increasing our confidence in rejecting the null hypothesis and accepting the alternative hypothesis. Main answer: A smaller p-value provides stronger evidence against the null hypothesis.
A p-value is used to determine the significance of results in hypothesis testing. A smaller p-value indicates stronger evidence against the null hypothesis, which means there is a higher likelihood that the observed results are not due to chance alone.
In summary:
1. P-value helps assess the significance of results in hypothesis testing.
2. Smaller p-values indicate stronger evidence against the null hypothesis.
Therefore, the statement "a smaller p-value provides stronger evidence against the null hypothesis" is True.
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how much hamburger will it take to make 300
It all depends on how you want your hamburger. If you're serving it as a main dish, 300 hamburger patties (each around 4 ounces) should be plenty to feed 300 people. If you utilize hamburger meat as a topping or filler in a meal, you'll need a different amount.
What is arithmetic operation?Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. The four basic arithmetic operations are addition, subtraction, multiplication, and division. Arithmetic mean is a number calculated by dividing the sum of a set's elements by the number of values in the set.
Here,
It all depends on how you want to eat the hamburger. If you're serving it as a main course, 300 hamburger patties, each weighing around 4 ounces, should plenty to satisfy 300 people. It will need a different quantity of hamburger meat if you use it as a topping or filler in a dish.
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Complete question:
How much hamburger will it take to make 300 three oz patties with a 20% shrinkage?
A sandwich is 2 12 feet long. You decide to cut the sandwich into pieces that are 1 14 feet long. How many pieces will you cut?
Answer:
Im assuming you meant 2 1/2 and 1 1/4, so the answer would be 2 pieces
Step-by-step explanation:
2 1/2-1 1/4=1 1/4, so 2
Using the division operation, the number of pieces of sandwich that can be cut is 2
Given the Parameters :
Length of sandwich = 2.5 feets Length per piece cut = 1.25 feetsThe number of pieces that can be cut out of the sandwich can be calculated thus :
Length of sandwich ÷ Length per piece cutNumber of pieces = (2.5 ÷ 1.25) = 2
Therefore, there are 2 pieces of sandwich that can be cut.
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Can anyone help me calculate the value of y
Based on the fact that this is an equilateral triangle, the value of y can be found to be 5.
What is the value of y?The figure given is an equilateral triangle which means that the lengths of all the sides are equal.
As DC is equal to 20, it means that all the other sides should be 20 as well.
This means that the value of y is:
20 = 15 + y
y = 20 - 15
y = 5
In conclusion, y is 5.
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What is the quotient?
-4/5 *2
HELP PLEASE
Answer:
The answer is 4/25 or 0.16.
Step-by-step explanation:
If the astrick is meant for a square root, then yes that is the answer.