Answer:
Step-by-step explanation:
Evaluate the expression shown below and write your answer as a fraction in simplest form (11/9) + (5/9)
Answer:
16/9
Step-by-step explanation:
(11/9) + (5/9) = 11/9 + 5/9 = 16/9
16/9 is already in simplest form, so the answer is 16/9
Answer: (11/9) + (5/9) = (11 + 5)/9 = 16/9
Step-by-step explanation:
We have to find a common denominator for the two fractions. Since both fractions have a denominator of 9, we can add the numerators directly.
Add the numerators of the two fractions: 11 + 5 = 16.
Write the sum over the common denominator: 16/9.
Simplify the fraction if possible. In this case, it is already in simplest form.
Therefore, (11/9) + (5/9) = 16/9.
Find the volume of each prism below and show your work
Number 5 and 6
1. The volume of the prism is 950.4m³
2. The volume of the prism is 16110m³
What is volume of a prism?A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;
V = base area × height.
1. Volume of prism = base area × height
base area = l×w
= 11×16
= 176m²
height = 5.4m
v = 176 × 5.4
= 950.4 m³
2. Volume of the prism = base area × height
base area = 25×36 = 900m²
height = 17.9m
Volume = 900 × 17.9m
= 16110 m³
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I need help making a two column proof for this question please
Since angle AOB and angle COD are vertical angles, they are congruent. Since angle AOB is a central angle of the first circle, it intercepts arc AB.
what is congruent ?
Congruent is a term used in geometry to describe figures or objects that have the same shape and size. When two figures are congruent, they are identical in every way, including their angles, sides, and dimensions
In the given question,
Proof:
1) Since angle AOB and angle COD are vertical angles, they are congruent.
2) Since angle AOB is a central angle of the first circle, it intercepts arc AB.
3) Similarly, angle COD is a central angle of the second circle, and it intercepts arc CD.
4) Using the fact that central angles of a circle intercept arcs of the same measure, we have that arc AB and arc CD have the same measure, since they are intercepted by congruent central angles.
Therefore, arc AB = arc CD, as required.
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state the most specific name of this quadrilateral...100 points
Answer:
Rhombus
Step-by-step explanation:
This would be a rhombus.
In a rhombus, all sides are equal and opposite sides are parallel.
Given the following exponential function,identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. Y=640(0.23)^x
the exponential function [tex]Y=640(0.23)^x[/tex]represents a decay of 77% per unit increase in x.
What is exponential?
The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
To determine the percentage rate of decrease, we can find the difference between the initial value (640) and the final value (when x = 1) and express it as a percentage of the initial value.
When x = 1, we have:
Y = 640(0.23)^1 = 147.2
The difference between the initial value (640) and the final value (147.2) is:
640 - 147.2 = 492.8
To express this as a percentage of the initial value, we can use the formula:
percentage change = (difference / initial value) * 100%
So, the percentage rate of decrease is:
percentage change = (492.8 / 640) * 100% = 77%
Therefore, the exponential function Y=640(0.23)^x represents a decay of 77% per unit increase in x.
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Write and graph an inequality for the situation.
12. A cruise ship can carry at most 3500 passengers.
An inequality for this situation "A cruise ship can carry at most 3500 passengers." is x ≤ 3,500.
A graph of the inequality x ≤ 3,500 is shown in the image attached below.
What is an inequality?
In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Less than (<).Greater than (>).Greater than or equal to (≥).Less than or equal to (≤).Note: At most simply refers to less than or equal to (≤) in Mathematics.
Since the cruise ship can only carry at most 3500 passengers, an inequality that models this situation is given by;
x ≤ 3,500
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What is a horizontal asymptote?
A horizontal line that a function's graph appears to coincide with but does not actually do so is said to be its horizontal asymptote.
What is a function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
A horizontal line that a function's graph appears to coincide with but does not actually do so is said to be its horizontal asymptote. The end behaviour of the function is determined using the horizontal asymptote.
Hence, this is what is known as horizontal asymptote.
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Practice & Problen In 8-13, complete each conversion. 2 8. 5 pt = C
The value of 5 pints is equal to 10 cups.
A liquid measurement with a capacity of 1/8 of a gallon. If we recall, 8 ounces equals 1 cup and 2 cups (or 16 ounces) equals 1 pint. One pint is made up of 16 fluid ounces, which is also equivalent to 2 cups, 1/4 quart, and 1/8 gallon. Normally, there are 2 cups in 1 pint, however this might vary depending on the ingredients. A pint has two cups in it.
Two cups equal one pint. You must multiply the volume in pints by a factor of two to convert from pt to c.
Hence, 1 pt = 2c
Substitute the values;
Multiple both the sides by 5
5 * 1pt = 5* 2c
5pt = 10c
Therefore, The value of 5 pints is equal to 10 cups.
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i have a new hobby - a saltwater fish tank that will contain mostly live corals (called a reef tank). i am currently in the planning stage and am gathering knowledge to give me the best chance of success with my tank. as part of the planning stage, i reached out to 700 experienced central florida reefers (people who currently have a reef tank) and asked them to provide the following information: size of the tank (in gallons), type of lighting used (florescent, led, hybrid, or other), and how long (in years) they have been in the hobby. part of the analysis involves trying to estimate the proportion of all central florida reefers who use led lighting. a 95% confidence interval was constructed to be: (.648, .752) which of the following practical interpretations is correct? group of answer choices in repeated sampling, 95% of the intervals created will contain the population mean. we are 95% confident that the proportion of all central florida reefers who use led lighting falls between .648 and .752. we are 95% confident that the proportion of the sampled central florida reefers who use led lighting falls between .648 and .752. all central florida reefers use led lighting 95% of the time.
We are 95% confident that the proportion of all central Florida reefers who use LED lighting falls between .648 and .752.
The correct practical interpretation is: "We are 95% confident that the proportion of all central Florida reefers who use led lighting falls between .648 and .752."
This means that if we were to take multiple random samples of 700 experienced central Florida reefers, 95% of the intervals created would contain the true population proportion of reefers who use LED lighting.
So, based on this sample, we can say with 95% confidence that the true proportion of all central Florida reefers who use LED lighting is somewhere between .648 and .752.
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We are 95% confident that the proportion of all central Florida reefers who use LED lighting falls between .648 and .752 from mean.
The correct practical interpretation is: "We are 95% confident that the proportion of all central Florida reefers who use LED lighting falls between .648 and .752." This means that based on the sample of 700 experienced reefers, we can estimate with 95% confidence that the true proportion of all reefers in central Florida who use LED lighting is likely to be between .648 and .752.
This confidence interval was constructed using sampling techniques, and in repeated sampling, 95% of the intervals created would contain the population mean.
We are 95% confident that the proportion of all central Florida reefers who use LED lighting falls between .648 and .752.
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If a1 =5 and an=-2an-1 then find the value of a4
Answer:
We are given the following recursive formula:
an = -2an-1
We are also given that a1 = 5. Using the recursive formula, we can find the values of a2, a3, and a4 as follows:
a2 = -2a1 = -2(5) = -10
a3 = -2a2 = -2(-10) = 20
a4 = -2a3 = -2(20) = -40
Therefore, the value of a4 is -40.
A seed company planted a floral mosaic of a national flag the perimeter of the flag is 2220 feet determine the flags width and length if the length is 450 feet greater than the width
A seed company planted a floral mosaic of a national flag the perimeter of the flag is 2220 feet determine the flags width and length if the length is 450 feet greater than the width
The width of the flag is 330 feet and the length is 780 feet.
What is width?.
Width refers to the measurement or extent of something from side to side, typically in reference to its distance between its two opposite edges or boundaries. It is one of the two dimensions of a two-dimensional object or the distance between opposite sides of a three-dimensional object. In other words, width is the measurement of the distance between the left and right edges of an object or shap
Let's assume that the width of the flag is x feet.
As per the given information, the length of the flag is 450 feet greater than the width. Therefore, the length of the flag will be:
length = x + 450 feet
The perimeter of the flag is given as 2220 feet.
Perimeter of the flag = 2(length + width)
Substituting the values of length and width in the above equation, we get:
2220 = 2[(x + 450) + x]
Simplifying the above equation, we get:
2220 = 4x + 900
Subtracting 900 from both sides of the equation, we get:
1320 = 4x
Dividing both sides of the equation by 4, we get:
x = 330
Therefore, the width of the flag is 330 feet.
Using the length equation we derived earlier, we can find the length of the flag:
length = x + 450 = 330 + 450 = 780 feet
So the width of the flag is 330 feet and the length is 780 feet.
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Charles darwin was a naturalist that proposed the idea of
Charles Darwin was a naturalist who proposed the concept of evolution via natural selection.
He discovered that versions exist inside species, and that those variations can be inherited via offspring. Darwin theorized that over the years, sure variations might be more positive for survival in a specific surroundings, and people developments could be more likely to be surpassed directly to the subsequent technology.
This method, which he called "natural selection," would lead to the evolution of latest species over long intervals of time. Darwin's concept of evolution thru herbal choice changed into a groundbreaking idea that challenged conventional ideals about the origins and diversity of lifestyles in the world, and it is still a important concept inside the fields of biology and ecology.
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a group of marketing students at a large university wants to determine the proportion of first year students who use certain types of social media. the students want their estimate to be within 0.03 of the true proportion with a 90% level of confidence. how large of a sample is required if the population proportion is not known?
The required sample size is 8.90400.
Given a student wants to make a guess within 0.03 of the true ratio with a 90% confidence level.
Margin of Error, E = 0.03
significance level α=0.10 {90% confidence}
A given estimate of the percentage of population p is p = 0.79.
The critical value for the significance level α = 0.10 is Zc = 1.645. This can be determined using either Excel or a normal probability table.
Use the following formula to calculate the minimum sample size required to estimate the percentage of population p within the required margin of error.
n≥p(1-p)(Zc÷E)²
n = 0.796×(1-0.796)(1.645÷0.03)²
n = 0.796 x 0.204 x 54.833
n = 8.90400
Therefore, the resample size required to meet the condition is n ≥ 8.90400 and must be an integer. From this, we conclude that the minimum sample size required is n = 8.90400
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PLEASE HELP! WILL GIVE BRAINLYEST ANSWER
Answer: your right its 0,1
Step-by-step explanation:
The table shows the coordinates of the vertices of pentagon ABCDE. Pentagon ABCDE is dilated by a scale factor 7/3 with the origin as the center of dilation to create pentagon A'B'C'D'E'. If (x,y) represents the location of any point on pentagon ABCDE which ordered pair represents the location of the corresponding point on pentagon A'B'C'D'E'
A) (3/7x , 3/7y)
B) (x + 3/7, y + 3/7)
C) (x + 7/3, y + 7/3)
D) (7/3x , 7/3y)
Since we know that the distance between the origin and A' should be d, which is 7/3 times the distance between the origin and A.
Therefore, the correct answer is D.
What is Pentagon?
A pentagon is a geometric shape that has five sides and five angles. It is a two-dimensional polygon, which means it is a flat shape with straight sides.
To find the coordinates of the dilated pentagon A'B'C'D'E', we need to multiply the coordinates of each vertex of pentagon ABCDE by the scale factor. Since the origin is the center of dilation, we can use the formula:
(x', y') = k(x, y)
where (x, y) are the original coordinates of a vertex, k is the scale factor, and (x', y') are the new coordinates of the corresponding vertex.
To find the scale factor, we can use the distance formula to find the distance between the origin and any one of the vertices. Let's use vertex A for convenience:
Distance OA = sqrt((-1-0)² + (1-0)²) = sqrt(2)
Distance OA' = k * Distance OA
We want to find the scale factor that will result in a dilation centered at the origin, so we want OA' to be the desired distance between the origin and A'. Let's say that distance is d. Then:
d = k * sqrt(2)
Solving for k, we get:
k = d / sqrt(2)
We are not given the desired distance between the origin and A', so we cannot determine the exact value of k. However, we can still determine which answer choice represents the correct dilation.
Let's try answer choice A:
(x', y') = (3/7x, 3/7y)
This represents a dilation with a scale factor of 3/7. But we already know that the scale factor should be d / sqrt(2). Since d could be any value, we cannot say for sure whether 3/7 is the correct scale factor.
Answer choice B:
(x', y') = (x + 3/7, y + 3/7)
This represents a translation, not a dilation. Therefore, it cannot be the correct answer.
Answer choice C:
(x', y') = (x + 7/3, y + 7/3)
This represents a dilation with a scale factor of 1. This is not the correct scale factor, since we know that the distance between the origin and A' should be greater than the distance between the origin and A.
Answer choice D:
(x', y') = (7/3x, 7/3y)
This represents a dilation with a scale factor of 7/3. This is the correct scale factor, since we know that the distance between the origin and A' should be d, which is 7/3 times the distance between the origin and A.
Therefore, the correct answer is D.
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Find two algebraic expressions for the area of each figure. First, regard the figure as one large rectangle, and then regard the figure as a sum of four smaller rectangles
According to the algebraic expressions, the sum of four smaller rectangles is 96.
First, let's consider the figure as one large rectangle. To find the area of a rectangle, we multiply its length by its width. In this case, the length of the rectangle is 8 and the width is 6 + 2 + 4 = 12. Therefore, the expression for the area of the rectangle can be written as:
Area = length x width
Area = 8 x 12
Area = 96
So the area of the figure as one large rectangle is 96 square units.
To find the area of each rectangle, we'll use the formula for the area of a rectangle, which is length x width. We can see from the figure that:
Rectangle A has a length of 8 and a width of 6
Rectangle B has a length of 8 and a width of 2
Rectangle C has a length of 4 and a width of 6
Rectangle D has a length of 4 and a width of 2
Therefore, the expressions for the area of each rectangle can be written as:
Area_A = length x width
Area_A = 8 x 6
Area_A = 48
Area_B = length x width
Area_B = 8 x 2
Area_B = 16
Area_C = length x width
Area_C = 4 x 6
Area_C = 24
Area_D = length x width
Area_D = 4 x 2
Area_D = 8
To find the total area of the figure, we simply add up the areas of the four rectangles. Therefore, the expression for the area of the figure as a sum of four smaller rectangles can be written as:
Area = Area_A + Area_B + Area_C + Area_D
Area = 48 + 16 + 24 + 8
Area = 96
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(Compound interest)
$17,525 deposit, interest at 1/2% for 3 years; find interest earned.
so 0.5% rate
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$17525\\ r=rate\to 0.5\%\to \frac{0.5}{100}\dotfill &0.005\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (17525)(0.005)(3) \implies I \approx 262.88[/tex]
Write the equation of the line in slope-intercept form.
Answer:
y = 1/2x - 4
Step-by-step explanation:
The y-intercept is at -4 (counting by ones).
The slope would be 1/2, going up one time and to the right twice, plotting the point (2, -3).
What is the surface area of a rectangular prism with dimensions 14 inches by 8 inches by 3 inches?
367 in2
356 in2
183.5 in2
135 in2
The correct option is (b) 356 in2.
What is surface area?Surface area is the measure of the total area that the surface of a three-dimensional object occupies. It is the sum of the areas of all the faces or surfaces of the object.
According to the given information:
The surface area of a rectangular prism can be calculated by adding up the areas of all six faces. The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the prism, respectively.
In this case, the length, width, and height of the rectangular prism are 14 inches, 8 inches, and 3 inches, respectively. Substituting these values into the formula, we get:
Surface Area = 2(14)(8) + 2(14)(3) + 2(8)(3)
= 224 + 84 + 48
= 356
Therefore, the surface area of the rectangular prism is 356 square inches. Hence, the correct option is (b) 356 in2.
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Pam is a hairdresser. Before her lunch break, she gave 2 haircuts and colored the hair of 1 client in 83 minutes. After lunch, she gave 1 haircut and colored the hair of 3 clients in 164 minutes. How long does it take for Pam to perform each type of service, assuming the amount of time doesn’t vary from client to client?
Pam takes 17 minutes for haircut and 49 minutes for hair coloring. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
Using the four basic operations, also referred to as "arithmetic operations," all real numbers may be explained. In mathematics, operations such as division, multiplication, addition, and subtraction come before operations such as quotient, product, sum, and difference.
Let x be the time taken for haircut and y be for hair coloring.
Now, she gave 2 haircuts and colored the hair of 1 client in 83 minutes.
So, using addition operation, we get
2x + y = 83 ...(1)
Similarly, she gave 1 haircut and colored the hair of 3 clients in 164 minutes.
So, we get
x + 3y = 164 ...(2)
From (1), we get
y = 83 - 2x
On substituting this in (2), we get
⇒ x + 3 * (83 - 2x) = 164
⇒ x + 249 - 6x = 164
⇒ 249 - 5x = 164
⇒ 5x = 85
⇒ x = 17
So,
⇒ y = 83 - 2 (17)
⇒ y = 83 - 34
⇒ y = 49
Hence, Pam takes 17 minutes for haircut and 49 minutes for hair coloring.
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a humanities professor assigns letter grades on a test according to the following scheme. a: top 8% of scores b: scores below the top 8% and above the bottom 58% c: scores below the top 42% and above the bottom 22% d: scores below the top 78% and above the bottom 7% f: bottom 7% of scores scores on the test are normally distributed with a mean of 77.1 and a standard deviation of 7.4 . find the minimum score required for an a grade. round your answer to the nearest whole number, if necessary.
The minimum score required for an A grade is approximately 87 when the standard deviation is 7.4 and the mean is 77.1
What is the standard deviation?The standard deviation is a measure of the amount of variation or dispersion in a set of data. It measures how much the individual data points deviate or differ from the mean or average of the data set.
Mathematically, the standard deviation is the square root of the variance, which is calculated by taking the average of the squared differences of each data point from the mean. The formula for the standard deviation is:
σ = sqrt(Σ(x - μ)^2 / n)
where σ is the standard deviation, x is a data point, μ is the mean, and n is the number of data points.
According to the given informationFirst, we need to find the z-score corresponding to a score that is at the 92nd percentile (the top 8%). We can use the inverse normal distribution function (also known as the probit function) to do this:
invNorm(0.92) ≈ 1.41
This means that a score at the 92nd percentile corresponds to a z-score of approximately 1.41.
Next, we need to convert this z-score to a raw score on the test. We can do this using the formula:
z = (x - μ) / σ
where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.
Rearranging this formula to solve for x, we get:
x = z*σ + μ
Substituting the values we have, we get:
x = 1.41*7.4 + 77.1 ≈ 87.4
Therefore, the minimum score required for an A grade is approximately 87, rounded to the nearest whole number.
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Which numbers have line symmetry?
2, 3, 4 7,8,9
help! i need help on this :(
Answer: 10 miles
Step-by-step explanation:
a = (P - 2b) / 2
a = (42 - 22) / 2
a = 20/2
a = 10
Answer:
i think its 10
Step-by-step explanation:
in a parallellogram opposite sides are equal so if the top is 11 then the bottom must be 11. 11 plus 11 is 22. 42 - 22 equals to 20. since opposite sides are the same you can divide 20 by 2 which equals to 10.
hope this helps :)
Part B
Describe how you would design the selection of subjects for this study. Assume there are 1,000 total sales representatives in the Midwest and Northeast regions, with 500 in each region. About half of the representatives in each region were assigned the training, and half were not. Be sure to also describe any processes you would include in your study to contribute to the best design possible.
The method regarding to the sampling to pick the 200 sales representatives is to be make 20 groups of 10.
What is sampling?Sampling is the process of selecting a subset of individuals from a population to represent the whole. It is a technique used in research to gather data from a larger population. The goal of sampling is to reduce the cost, time, and effort required to collect data from a large population. Sampling allows researchers to get a better understanding of the population by being able to study a smaller, more representative group of individuals. Sampling also allows researchers to make more accurate generalizations about a population.
In this case, the best way for the sales directors to including 200 sales representatives, with equal Numbers from each region is simply to make 20 groups of 10.
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Complete questions as follows-
Suppose there are 1,000 total sales representatives in the Midwest and Northeast regions, with 500 sales reps in each
region. Describe the best way for the sales director to include 200 sales representatives, with an equal number from each
region and an equal number in each group, while yielding valid conclusions in the study.
Type your response in the box.
null hypothesis researchers want to investigate the relationship between caffeinated coffee consumption and the risk of depression in women. which statement is not appropriate for our null hypothesis? the distribution of caffeinated coffee consumptions for different levels of depression status are the same. the levels of depression status and caffeinated coffee consumptions are equally likely. the distribution of depression status for different levels of caffeinated coffee consumptions are the same. the depression status and caffeinated coffee consumptions are independent.
The appropriate statement for the null hypothesis is "the depression status and caffeinated coffee consumptions are independent."
How to find which statement is appropriate for null hypothesis?The statement that is not appropriate for the null hypothesis according to hypothesis testing is "the levels of depression status and caffeinated coffee consumptions are equally likely."
This statement implies that there is an equal chance of having different levels of depression status and different levels of caffeinated coffee consumption, which is not a suitable assumption for the null hypothesis.
The null hypothesis should state that there is no significant relationship between the two variables, and the distribution of one variable does not depend on the distribution of the other variable.
Therefore, the appropriate statement for the null hypothesis is "the depression status and caffeinated coffee consumptions are independent."
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Find the circumference of each circle with a radius of 5.4 mi . Use 3.14 for the value of Pi. Round your answer to the nearest tenth. IM IN 7TH
The circumference of the circle with a radius of 5.4 miles is approximately 34.0 miles.
Describe Radius?In geometry, a radius is a straight line segment that connects the center of a circle or sphere to any point on its circumference. It is the distance from the center of the circle to any point on the circle.
The term "radius" can also be used in other contexts, such as in the context of cylinders and cones. In these cases, the radius refers to the distance from the center of the circular base to any point on the circumference of the base.
The radius of a circle is an important measurement because it determines the size of the circle. It is also used in various geometric formulas to calculate the area, circumference, and other properties of a circle or sphere. For example, the formula for the circumference of a circle is C = 2πr, where r is the radius, and π (pi) is a mathematical constant that is approximately equal to 3.14159.
The formula for the circumference of a circle is:
C = 2πr
where C is the circumference, π is the mathematical constant π (approximated as 3.14), and r is the radius of the circle.
Substituting the given value of radius, we get:
C = 2 × 3.14 × 5.4
C ≈ 33.98
Rounding to the nearest tenth, we get:
C ≈ 34.0
Therefore, the circumference of the circle with a radius of 5.4 miles is approximately 34.0 miles.
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Point B has coordinates (2,1). The x-coordinate of point A is -2. The distance between point A and point B is 5 units. What are the possible coordinates of point A?
The possible coordinates of point A are (-2, -2) and (-2, 4).
What is distance?Distance is a numerical measurement of the amount of space between two points. It is the length of a path that connects two points in a space, usually measured in units such as meters, kilometers, miles, etc.
In Euclidean space (a type of space
We can use the distance formula to find the possible coordinates of point A. The distance formula between two points (x1, y1) and (x2, y2) is:
d = √((x2 - x1)² + (y2 - y1)²)
Let the coordinates of point A be (x, y), where x = -2 (the x-coordinate of point A is -2, as given in the problem).
Then, we can write the distance formula as:
5 = √((2 - (-2))²+ (1 - y)²)
Simplifying this equation, we get:
25 = (2 - (-2))²+ (1 - y)²
25 = 16 + (1 - y)²
9 = (1 - y)²
Taking the square root of both sides, we get:
3 = 1 - y or 3 = -(1 - y)
Solving for y in each case, we get:
y = -2 or y = 4
Therefore, the possible coordinates of point A are (-2, -2) and (-2, 4).
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in desperate need of help!! (i accidentally clicked the first answer)
Answer:
The answer is 28
Step-by-step explanation:
sin0=opp/hyp
let hyp be x
sin30=14/x
0.5x=14
divide both sides by 0.6
x=14/0.5
x=28
What is the mean absolute deviation for 1.25 3.50 2.55 8.20 4.80 0.30 0.75 2.25
Answer:
the mean absolute deviation for the given data set is 1.86.
Step-by-step explanation:
To find the mean absolute deviation, we first need to find the mean of the data set.
Mean = (1.25 + 3.50 + 2.55 + 8.20 + 4.80 + 0.30 + 0.75 + 2.25) / 8 = 3.07
Next, we find the absolute deviation of each data point from the mean by subtracting the mean from each data point and taking the absolute value:
|1.25 - 3.07| = 1.82
|3.50 - 3.07| = 0.43
|2.55 - 3.07| = 0.52
|8.20 - 3.07| = 5.13
|4.80 - 3.07| = 1.73
|0.30 - 3.07| = 2.77
|0.75 - 3.07| = 2.32
|2.25 - 3.07| = 0.82
Then, we find the mean of these absolute deviations:
Mean absolute deviation = (1.82 + 0.43 + 0.52 + 5.13 + 1.73 + 2.77 + 2.32 + 0.82) / 8
Mean absolute deviation = 1.86
Therefore, the mean absolute deviation for the given data set is 1.86.
a statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a . a. probability test b. dependence test c. goodness of fit test d. contingency test
A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as the goodness of fit test.
Option C is the correct answer.
We have,
A goodness of fit test is conducted to determine whether a hypothesized probability distribution for a population adequately fits or matches the observed data.
It compares the observed data to the expected distribution specified by the hypothesis and assesses whether there is sufficient evidence to reject the hypothesis.
This test is commonly used when testing the fit of categorical data to a specified distribution, such as testing whether the observed data follows a specific discrete probability distribution
(e.g., Poisson, binomial, multinomial) or whether the observed data matches the expected proportions in different categories.
The goodness of fit test evaluates the degree of discrepancy between the observed and expected frequencies or proportions and provides a statistical measure, such as the chi-squared test statistic, to assess the level of agreement or disagreement between the observed data and the hypothesized distribution.
Therefore,
A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known
the goodness of fit test.
Learn more about the goodness of fit test here:
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