The area of the figure is 72 m².
6 Explain A video game company will make
a new game. The manager must choose between a role-
playing game and an action game. He asks his sales staff
which of the last 10 released games sold the most copies.
Explain why this is a statistical question.
The question is statistical because it requires data analysis, statistical methods, and interpretation of results to make a decision.
What is a Statistical question:A statistical question is a question that can be answered by collecting and analyzing data. It is a question that involves variability, uncertainty, or randomness and cannot be answered with a single definitive answer.
Instead, it requires the use of statistical methods to analyze and summarize data to make informed decisions.
Here we have
A video game company will make a new game. The manager must choose between role-playing the game and an action game. He asks his sales staff which of the last 10 released games sold the most copies.
This is a statistical question because it involves collecting and analyzing data to make an informed decision.
The manager is seeking information from the sales staff about the last 10 released games to determine which type of game - role-playing or action - is more likely to sell well.
By analyzing the sales data, the manager can make a data-driven decision about which game to develop, rather than relying solely on intuition or personal preferences.
To answer the question, the sales staff would need to collect data on the sales figures of each of the last 10 released games, which involves using statistical methods to analyze and summarize data.v
Therefore,
The question is statistical because it requires data analysis, statistical methods, and interpretation of results to make a decision.
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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.
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.
Kiran swims z laps in the pool. Clare swims 18 laps, which is 95
times as many laps as Kiran. How many laps did Kiran swim?
Answer:
Therefore, Kiran swam approximately 0.189z laps in the pool.
Step-by-step explanation:
Let's assume the number of laps Kiran swims to be "x".
From the given information, we know that Clare swims 95 times as many laps as Kiran. Therefore, we can write an equation:
18 = 95x
To solve for x, we can isolate it by dividing both sides of the equation by 95:
x = 18/95
x = 0.189
PLEASE HELP
If triangle PQR is has a right angle at Q and m<R is 45°, what is the length of PR is PQ is 3?
1. 3
2. 2
3. 2√3
4. 3√2
The value of the side length PR using Trigonometric ratio is: PR = 3/√2
How to use trigonometric ratios?The primary trigonometric ratios are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
Thus:
We are given that:
∠Q = 90°
∠R = 45°
PQ = 3
Thus:
PR is calculated as:
3/PR = sin 45
PR = 3 * sin 45
PR = 3 * 1/√2
PR = 3/√2
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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]
A doctor collected data to determine the association between age of an infant and its weight. She modeled the
equation y - 1. 25x + 7 for the line of best fit The independent variable, x, is time in months and the dependent
variable, y, is weight in pounds. What does the y-intercept mean in this context?
A)
The infant's starting weight is 7 pounds.
B)
The infant's starting weight is 1. 25 pounds.
The infant's weight increases by an additional 7 pounds for each month,
D)
The infant's weight increases by an additional 1. 25 pounds for each month.
The y-intercept in the given equation ( y = -1.25x + 7) predict the infant's weight to be 7 pounds. So, the correct option is option A - The infant's starting weight is 7 pounds.
Y-intercepts are when the line touches the y-axis. To find these, find the y when x = 0. The point for a y-intercept will look like (0,y) x-intercepts are when the line touches the x-axis.
y = mx + b
The y-intercept of the line of best fit is the value of y when x is equal to 0. In this case, the equation of the line of best fit is y = -1.25x + 7. Therefore, when x is equal to 0, we have:
y = -1.25(0) + 7 = 7
So, the y-intercept of the line of best fit is 7. This means that when the infant is born (i.e., at 0 months), the predicted weight is 7 pounds.
Therefore, option 'A', "The infant's starting weight is 7 pounds," is the correct answer.
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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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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 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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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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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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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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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
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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Which numbers have line symmetry?
2, 3, 4 7,8,9
ssume that the failure strength of a beam can be represented by a normal distribution where the population standard deviation is 4 psi. if you need the width of the 95% confidence interval to be 3 psi, how large of a sample do you need?
The failure strength of a beam can be represented by a normal distribution where the population standard deviation is 4 psi, we get a test measure of 7. Subsequently, we would require a test of at slightest 7 pillars to attain a 95% certainty interim with a width of 3 psi...
To discover the test measure required to realize a 95% certainty interim with a width of 3 psi, we ought to utilize the equation:
n = [ (z*σ) / E ][tex]^{2}[/tex]
where:
n is the test measure
z is the z-score related to the specified level of certainty (in this case, 95% compares to a z-score of 1.96)
σ is the populace standard deviation
E is the specified edge of blunder (in this case, 3 psi)
n = [ (1.96 * 4) / 3 ][tex]^{2}[/tex]
n = [ 2.61 ][tex]^{2}[/tex]
n = 6.82
we get a test measure of 7. Subsequently, we would require a test of at slightest 7 pillars to attain a 95% certainty interim with a width of 3 psi.
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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.
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the mean daily production of a herd of cows is assumed to be normally distributed with a mean of 30 liters, and standard deviation of 8.2 liters. a) what is the probability that daily production is between 32.3 and 36.9 liters? do not round until you get your your final answer.
There is a 21.19% chance that the daily production falls within 32.3 and 36.9 liters.
To find the probability that the daily production of a herd of cows is between 32.3 and 36.9 liters, we need to use the normal distribution properties.
Given that the mean daily production of the herd of cows is 30 liters and the standard deviation is 8.2 liters, we can standardize the distribution and use the standard normal distribution table or calculator. We calculate the z-scores for the values 32.3 and 36.9, which tells us how many standard deviations away from the mean each value is.
Using a standard normal cumulative distribution function, we can find that the probability of the daily production falling between 32.3 and 36.9 liters is approximately 0.2119. This means that there is a 21.19% chance that the daily production falls within this range.
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The probability that daily production is between 32.3 and 36.9 liters is 0.18949 or 18.9%.
To determine the probability that the herd's daily production will be between 32.3 and 36.9 liters, we must compute the z-scores for each number and use a standard normal distribution table to calculate the area under the curve between those z-scores.
To find out the z - scores we need use z-score formula:
Z = X−μ / σ
where μ is the mean, σ is the standard deviation and X is the observed value. In the problem μ is 30 liters, X₁ = 32.3 liters & X₂ = 36.9 liters and σ = 8.2 liters.
Substituting the values in the equation to find the z-score for 32.3 liters is:
z₁ = (32.3 - 30) / 8.2 = 0.2804
z₁ = 0.28049
Substituting the values in the equation to find the z-score for 36.9 liters is:
z₂ =( 36.9 - 30) / 8.2 = 0.8414
z₂ = 0.8414
We can determine the area under the curve between these two z-scores using a conventional normal distribution table. The area between z = 0.28049 and z = 0.8414 and the probability is approximately 0.1894.
As a result, the probability that the herd's daily output is between 32.3 and 36.9 liters is about 0.1894.
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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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PLEASE HELP! WILL GIVE BRAINLYEST ANSWER
Answer: your right its 0,1
Step-by-step explanation:
The hour marks on a clock face are 30° apart. What is the angle a line from the four o'clock mark to the twelve o'clock mark makes with a horizontal line?
Answer:
The hour marks on a clock face are evenly spaced, 30° apart. To find the angle a line from the four o'clock mark to the twelve o'clock mark makes with a horizontal line, we need to count the number of hour marks between the two positions and multiply by 30°.
Starting from the four o'clock mark and moving clockwise to the twelve o'clock mark, we count 8 hour marks, including the one at the twelve o'clock mark. Multiplying 8 by 30°, we get:
8 x 30° = 240°
Therefore, the angle between the line from the four o'clock mark to the twelve o'clock mark and a horizontal line is 240°.
Pollyomial Roller coaster project! HELP PLEASE
please show all work, below is an example, rubric, and what's needed in this graph.
please show the graph and Factored form
Thank you
The description of the polyomial roller coaster project is shown below
Solving the polyomial roller coaster projectProposal for the "Imaginary Rush" Roller Coaster:
Coaster name: Imaginary RushFactored form of polynomial: 1/10(x + 1)(x - 2)(x - 4)(x + 5i)(x - 5i)Standard form of the polynomial: f(x) = 1/10[x⁵ - 5x⁴ + 27x³ - 117x² + 50x + 200]The polynomial's graph is attached
Description of how client specifications are met:
The coaster starts on ground level, as the graph of the polynomial crosses the x-axis at x = -1.The coaster goes underground, as the graph dips below the x-axis at x = 4.The coaster includes the imaginary root, as the polynomial has two complex roots at x = 5i and x = -5i.The coaster "grazes" the ground, as the graph of the polynomial touches the x-axis at x = 2.Interpretation of the practicality of the design:
The design of Imaginary Rush is both exciting and practical. The coaster meets all the client's specifications while also providing a thrilling ride for coaster enthusiasts.
The dips and peaks of the coaster follow the behavior of the polynomial, providing a unique experience for riders.
The use of the imaginary root adds an additional level of excitement to the ride, making it stand out from other roller coasters.
Overall, the design of Imaginary Rush is both fun and practical, making it an excellent addition to any theme park.
Discussion of the polynomial's behaviors:
Tail Behavior: As x approaches negative infinity, the value of the function approaches negative infinity. As x approaches positive infinity, the value of the function approaches positive infinity.Relative Maxima/Minima: The polynomial has a relative maximum at x = 2 and a relative minimum at x = 4.Intervals of increasing/decreasing behavior: [tex]\mathrm{as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:-\infty \:[/tex], [tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:-\infty \:[/tex]Read more about polynomial at
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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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pyriamid a square base that measures 140 m on each side. the height is 91 m. what is the volume of the pyramid?
The volume of the pyramid is approximately 574,533.33 cubic meters.
To find the volume of a pyramid, you use the formula: V = (1/3) × base area × height, where B is the area of the base and h is the height of the pyramid.
Given that the side length of the square base is 140 m and the height is 91 m.
Since the base of the pyramid is a square with a side length of 140 m, we can find its area by multiplying the side lengths: B = 140m x 140m = 19,600 square meters.
By calculating this expression, you'll find the volume of the pyramid.
Now we can plug in the values for B and h into the formula: V = (1/3)(19,600 square meters)(91 meters) = 574,533.33 cubic meters.
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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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The measure of an angle is 12º. What is the measure of its complementary angle?
If 2 angles are complementary, then they add up to 90 degrees. Therefore, you can find the measure of the complementary angle by subtracting 12 from 90, which is 78 degrees.
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.
Using trig to find angles.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x ≈ 39.5°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OP}{NP}[/tex] = [tex]\frac{64}{83}[/tex] , then
x = [tex]cos^{-1}[/tex] ( [tex]\frac{64}{83}[/tex] ) ≈ 39.5° ( to the nearest tenth )
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 :)