Stop using brainly. This whole website has became a big money grab over the last few months and they will remove all your posts and answers unless you pay them money. I've had it happen several times now.
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
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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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
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.
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 the inverses of the functions and confirm using compositions.
1. The inverse of the function f(x) is ±√((x + 10)/2). 2. The inverse of the function f(x) is y = (x - 5)² + 3.
1. The inverse of the function f(x) is ±√((x + 10)/2). 2. The inverse of the function f(x) is y = (x - 5)² + 3.
What is one on one function?A one-to-one function is one in which every input (x-value) and every output (y-value) have an exact corresponding relationship. Therefore, there aren't any outputs that are repeated. A one-to-one function geometrically passes the horizontal line test if no horizontal line crosses the function graph more than once.
Contrarily, a many-to-one function is one in which different inputs (x-values) result in the same output (y-value). A many-to-one function geometrically fails the horizontal line test if there is a horizontal line that crosses the function's graph more than once.
1. Replace f(x) with y in the given function:
y = 2x² - 10
Now, swap the values of x and y and isolate the value of y:
x = 2y² - 10
x + 10 = 2y²
(x + 10)/2 = y²
y = ±√((x + 10)/2)
The inverse of the function f(x) is ±√((x + 10)/2).
2. Replace f(x) with y in the given function:
y = √(x - 3) + 5
Swap the values of x and y and isolate y:
x = √(y - 3) + 5
x - 5 = √(y - 3)
(x - 5)² = y - 3
y = (x - 5)² + 3
The inverse of the function f(x) is y = (x - 5)² + 3.
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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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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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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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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.
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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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 )
Find the surface area and volume of a prism with height 15ft whose base is a rhombus with sides of length 20ft and one diagonal of 24ft
Answer:
3600
Step-by-step explanation:
So you find the area of a rhombic prism by multiplying the sides together and dividing by 2, so 15*20*24 would be 7200, and that divided by 2 is equivalent to the final answer, which is 3600.
If y=3, then -3+y2 =
Answer:
The answer is 6
Step-by-step explanation:
y=3
-3+y²
-3+(3)²
-3+6=6
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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You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0. 16.
With H1 : p < 0. 16 you obtain a test statistic of z=−2. 683.
Use a normal distribution calculator and the tet statistic to find the P-value accurate to 4 decimal places. It may be left-tailed, right-tailed, or 2-tailed.
P-value =
The p-value for the given hypothesis test is 0.0037 (accurate to 4 decimal places)
To find the p-value, we need to use the standard normal distribution table or a calculator. Since the alternative hypothesis is left-tailed, we are interested in finding the area under the curve to the left of the observed test statistic z.
Using a standard normal distribution calculator, we find that the area to the left of z = -2.683 is 0.0037 (rounded to 4 decimal places). This represents the p-value for the hypothesis test.
Therefore, we can conclude that there is strong evidence to reject the null hypothesis at a significance level of 0.05, since the p-value of 0.0037 is less than the chosen significance level. The evidence suggests that the accuracy rate for fingerprint identification is significantly less than 0.16.
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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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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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I need help with this math, I forgot how to do it over spring break and we're virtual this week im sobbing
Answer:
if they are similiar then a is 4.9
b is 2.8 and c is 4.1
Step-by-step explanation:
if the the shapes are similiar then match up then sides of the shape and they should have equal lengths.
hope this helps :)
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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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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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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A science class is doing an experiment with a model rocket. The rocket shoots straight up in the air, and the students record the time it takes for the rocket to hit the ground. The height of the rocket at time t, in seconds, is given by the equation y = -2(t – 2)2 + 12, where y is in meters.
If the initial height of the rocket is the height of the rocket at time t = 0, what is the initial height of the rocket?
Answer:
To find the initial height of the rocket, we need to determine the height of the rocket when t = 0, since that is the initial time.
Substituting t = 0 into the given equation, we get:
y = -2(0 – 2)2 + 12
y = -2(-2)2 + 12
y = -2(4) + 12
y = 8
Therefore, the initial height of the rocket is 8 meters.
Step-by-step explanation:
PLS HELP DUE TODAY LOOK AT SS
Answer:
y = -4.3x + 23.8
Step-by-step explanation:
To find the equation for g(x), we need to first understand what it means for g(x) to be parallel to f(x). Two lines are parallel if they have the same slope, but different y-intercepts. The slope of f(x) is -4 3/10, which can be written as -43/10 in fraction form and -4.3 in decimal form. Therefore, the slope of g(x) is also -4.3.
Now we need to use the fact that g(x) passes through the point (6, -2) to find its y-intercept. We can use the point-slope form of a linear equation to do this: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Plugging in our values, we get:
y - (-2) = (-4.3)(x - 6)
Simplify the left side
y + 2 = (-4.3)(x - 6)
Next, simplify the right side
y + 2 = -4.3x + 25.8
Subtracting 2 from both sides, we get:
y = -4.3x + 23.8
Therefore, the equation for g(x) is y = -4.3x + 23.8 in simplified slope-intercept form.
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.
what is the degree and leading coefficient
Answer: The degree of the polynomial is the highest power of the variable that occurs in the polynomial.
Step-by-step explanation:
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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A school has members of 6000 out of which 1200 are girls find the probability of people who are boys
Answer: 80% are boys and 20% are girls
Step-by-step explanation: Take 1200 ÷ 6000 = 0.2 , to find the percentage multipy 0.2 x 100 = 20%, then subtract 20% from 100 giving you 80%. This means 80% of the members are boys.
(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]