The correct answer is: Graph C is the graph of the function f(x) = x^3 - 3x^2 - 4x.
To determine the graph of the function f(x) = x^3 - 3x^2 - 4x, we can analyze the given information about the y-intercept and x-intercepts.
The y-intercept of the function is the point where it intersects the y-axis. From the provided information, we can see that the y-intercept is at 0 in all four graphs (A, B, C, and D).
The x-intercepts of the function are the points where it intersects the x-axis. From the given information, we can see the following x-intercepts for each graph:
Graph A: x-intercepts at 1 and 4
Graph B: x-intercepts at -1 and 4
Graph C: x-intercepts at -1 and 4
Graph D: x-intercepts at -2 and 3
Comparing the x-intercepts of the graphs with the given x-intercepts for the function f(x) = x^3 - 3x^2 - 4x, we can see that Graph C matches the x-intercepts of -1 and 4.
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suppose x1,...,xn is a random sample of size n from a normal population n(µ, 2) where µ and 2. denote y = 1 n pn i=1(xi x¯)2, where x¯ = 1 n pn i=1 xi is the sample mean of this random sample.
The maximum of |y(t)| for -α < t < α is the square root of (n-1) F(α,1,n-2), where F(α,1,n-2) is the (1-α) quantile of an F-distribution with 1 and n-2 degrees of freedom.
Begin by calculating the sample mean x¯ and the sample variance s^2 using the formulas
x¯ = 1/n * Σxi and s^2 = 1/(n-1) * Σ(xi - x¯)^2.
Next, calculate y as y = (1/n) * Σ(xi - x¯)^2.
Define z = (y-σ^2)/√(2σ^4/n) where σ^2 is the true population variance.Then, |y(t)| can be expressed as |z*√(2σ^4/n) + σ^2 - t^2| and this is minimized when
z = t^2/(t^2+2) or z = -t^2/(t^2+2).
Finally, the maximum of |y(t)| for -α < t < α is given by the square root of (n-1) F(α,1,n-2), where F(α,1,n-2) is the (1-α) quantile of an F-distribution with 1 and n-2 degrees of freedom.
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7+7 please help me i need help quick right away
Answer:
very funny and 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
7 plus 7? how old are you?
A helicopter descends until it reaches the ground. The equation y=-300x+1200 gives the height, y in feet, X minutes after the pilot begins the descent.
The x-intercept is (4, 0) and y-intercept is (0, 1200) for the equation y = -300x + 1200 and graph shown below.
Define a term Graph?The data are simply presented in a structured manner in the graph. It helps us understand the data better. The mathematical data accumulated through perception is alluded to as information.
The data or information is shown in a line graph by being connected to one another by a straight line, which is a series of markers or dots.
Given equation is: y = -300x + 1200
For y-intercept we have to put, x=0
⇒ y = 1200
For x-intercept put, y= 0
⇒ 0 = -300x +1200
⇒ x= 4
Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 )
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HELP ME PLEASEEEEEEEEEEEEEE
Answer:
pretty sure it's the 2nd one
Step-by-step explanation:
If there's 1 adult for every 6 kids how many adults would there be if there 66 kids?
Answer:
11 kids
Step-by-step explanation:
Answer: There would be 11 adults
Step-by-step explanation: if there are 66 kids and 1 parent for every 6 kids that would mean that you would have to divide 66 by 6 and 66 divided by 6 is 11
66 % 6 = 11
(the % sign is the closest sign on my keyboard to a division symble)
Piao is creating a list of characteristic traditionally associated with females in America seociety
Answer: B
Step-by-step explanation: Piao is creating a list of characteristics traditionally associated with females in American society. Which characteristic should he include in his list? A. Is competitive B. Is sensitive C. Is strong D. All of the above
PLZ HELP PLZ PLZ ILL MARK AS BRAINLIESTT!!!
Answer:
No
Step-by-step explanation:
If you do the math of 11 x 1.89 sense he wants to buy 11 pairs of socks that are 1.89 each you would get 20.79 being 79 cents over the amount he has.
(If discount applied then yes he can afford)
Determine the area of the triangle.
96.0 square units
16.9 square units
192.0 square units
97.5 square units
Answer:
A. 96.0 square units
Step-by-step explanation:
The formula for the area of a triangle when we know the side length of two sides and the measure of an included angle of a triangle is given as:
A = ½*a*b*Sin C
Where,
a = 13
b = 15
C = 80°
Plug in the values into the formula
A = ½*13*15*Sin 80
A = 96.0187559
A = 96.0 square units (nearest tenth)
Answer:A
Step-by-step explanation: I took the test
Describe how to transform the graph of f into the graph of g. g(x)=f(x+10)
To transform the graph of f into the graph of g, we shift the graph of f 10 units to the right along the x-axis.
What is the graph?
The graph of a function is a visual representation of the relationship between the input values and the output values of the function. Graphs can be drawn on a coordinate plane and can help us understand the behavior of the function and identify important features, such as the domain, range, intercepts, and extrema.
To describe how to transform the graph of f into the graph of g, we need to understand the effect of the function g(x) = f(x + 10). This function takes the input x, adds 10 to it, and then applies the original function f to the result. This means that each point on the graph of f is shifted to the right by 10 units in the graph of g.
To summarize, to transform the graph of f into the graph of g, we shift the graph of f 10 units to the right along the x-axis.
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Please help, Ill give brain-list Rita's Blossoms sells roses in groups of 4. Across town, Kendall's Blooms sells roses in groups of 6. If a customer wants to buy the same number of roses from both vendors, what is the smallest number of roses the customer will have to buy from each vendor?
Answer:
can u mark me as brainliest pls pls pls pls pls pls pls pls pls pls pls
Step-by-step explanation:
HAVE A GREAT DAY!!!
Here is a grid of squares.write down the ratio of the number of unshaded to shaded squares
The ratio of the number of unshaded to shaded squares is 7 : 3.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
It is also defined as the fraction of one quantity with respect to other.
The ratio of a and b is denoted as a : b.
Given is a grid of squares which is given below.
Total number of squares = 10
Of that,
Number of shaded squares = 3
Number of unshaded squares = 7
We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.
Ratio of unshaded squares to shaded squares = 7 : 3
Hence 7 : 3 is the ratio of unshaded to shaded.
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Find the missing term.
(x + 9)² = x² + 18x +-
072
O 27
O'81
O 90
The missing term in the equation (x + 9)² = x² + 18x + is 81. The simplified form of the (x + 9 )² = x² + 18x + 81. The correct option is C.
Given
(x + 9)² = x² + 18x +----
Required to find the missing term =?
It is given the form of ( a + b)² = a² + 2ab + b²
Putting the given values in the above form we get the value of the missing term from the equation
(x + 9 )² = x² + 2 × x ×9 + 9 × 9
= x² + 18x + 81
A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.
Thus, we get the value of the missing term as 81.
Thus, the ideal selection is option C.
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A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Boden family is taking a road trip across the US. After initially driving for awhile, the Bodens decide to make a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.
Identify how many miles per day the Boden family is planning to travel.
miles per day
Answer:
202 miles per day
Step-by-step explanation:
Answer:
165
Step-by-step explanation:
A 2-column table with 3 rows. Column 1 is labeled Days, x with entries 3, 4, 5. Column 2 is labeled Miles, y with entries 771, 973, 1,175.
The Bodens drove for awhile before they made a plan to drive a set number of miles each day. Days 3, 4, and 5 are displayed in the table. Assume the relationship is linear.
Determine the initial number of miles that the Boden family drove before they made their plan.
771 miles
367 miles
165 miles
135 miles
This is your correct answer 165, oops this is the wrong question sorry
Can someone please help me ASAP?? It’s due tomorrow!! I will give brainliest If It’s correct.
Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:
A. Perpendicular to the base: Rectangle
B. Parallel to the base: Triangle with dimensions equal to the base
C. Diagonal from vertex to vertex: Triangle with unknown dimensions
What is the solution to this equation?
x- 13 = -4
O A. x= 9
O B. x = 17
O c. x= -17
O D. x= -9
Mr. and Mrs. Potato head went to dinner. The bill was $78.95. They
decided to leave a 13% tip. What is the total amount of money they
need to leave, including the tip?
O $91.95
O $10.26
O $89.21
O $20
Answer:
C. $89.21
Step-by-step explanation:
First...Eliminate
$10.26 and $20
They are under the bill total which is $78.95
Then 13% is actually 0.13
13/100 = .13
take 0.13 ×$78.95= 10.2635. ( I used a calculator)
$ 10.2635 of 13%
Take 10.2635 + $78.95(the bill)= Total cost
10.2635 don't forget to line up the demicals
+ 78.95 Or use a calculator
89.2135
$89.21 is your total
What is 40÷8175 PLEASE HELP ME H E L P
Answer:
Step-by-step explanation: 0.00489296636 if you divided by 40 to 8175 but if you wanted 8175 divided 40 it would equal 204.375 just letting you know i used a calculator so if these aren't it then i'm not sure
Compare an angle having a measure of 120° with that of an angle whose measure is es002-1. Jpg radians. Explain your reasoning.
When comparing an angle with a measure of 120° to an angle with a measure of es002-1 radians, it is important to understand the concept of radians.
Radians are a unit of measure for angles that are based on the radius of a circle. Specifically, one radian is equal to the angle subtended by an arc of a circle that is equal in length to the radius of the circle.
In this case, we know that the angle with a measure of 120° is measured in degrees, while the angle with a measure of es002-1 radians is measured in radians. To compare these two angles, we need to convert one of them to the other unit of measure.
To convert 120° to radians, we can use the formula: radians = degrees x (π/180). Plugging in 120 for degrees, we get: radians = 120 x (π/180) ≈ 2.09 radians.
Now that we have both angles measured in radians, we can compare them. The angle with a measure of 2.09 radians is larger than an angle with a measure of es002-1 radians because 2.09 is a little bit more than pi,
which is approximately 3.14. Specifically, an angle of es002-1 radians is equivalent to 180°/π ≈ 57.3°, which is much smaller than the 120° angle we started with.
In summary, we can compare angles measured in degrees and radians by converting them to a common unit of measure.
In this case, we found that an angle with a measure of 120° is larger than an angle with a measure of es002-1 radians.
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simplify (2/3)3(1/5x2/3)-3(1/5)4
\(\hspace{34em}|\\ \stackrel{\textit{\LARGE PEMDAS}}{\left( \cfrac{2}{3} \right)3 \left( \cfrac{1}{5}\times \cfrac{2}{3} \right)-3\left( \cfrac{1}{5} \right)4\implies \left( 2\cdot \cfrac{3}{3} \right) \left( \cfrac{1}{5}\times \cfrac{2}{3} \right)-3\left( \cfrac{1}{5} \right)4} \\\\\\ \left( 2\cdot 1 \right) \left( \cfrac{1}{5}\times \cfrac{2}{3} \right)-3\left( \cfrac{1}{5} \right)4\implies 2\left( \cfrac{1}{5}\times \cfrac{2}{3} \right)-3\left( \cfrac{1}{5} \right)4\)
\(2\left( \cfrac{2}{15} \right)-3\left( \cfrac{1}{5} \right)4\implies \cfrac{4}{15}-3\left( \cfrac{1}{5} \right)4\implies \cfrac{4}{15}-\cfrac{3\cdot 1\cdot 4}{5}\implies \cfrac{4}{15}-\cfrac{12}{5} \\\\\\ \stackrel{\textit{using the LCD of 15}}{\cfrac{(1)4~~ - ~~(3)12}{15}}\implies \cfrac{4-36}{15}\implies \cfrac{-32}{15}\implies -2\frac{2}{15}\)
What property is used to rewrite (9)(-8) as (9)(-1)(8)?
Answer:
The distributive property.
if the probability that a flight will be delayed is 0.21, then the probability that it will not be delayed must be?
The probability that the flight will not be delayed is 0.79.
If the probability that a flight will be delayed is 0.21, then the probability that it will not be delayed must be:
Understand that the total probability of an event is always 1. In this case, there are only two possible outcomes: the flight is delayed, or it is not delayed.
Subtract the probability of the flight being delayed (0.21) from the total probability (1).
1 - 0.21 = 0.79
The probability that the flight will not be delayed is 0.79.
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Protractor postulate: given any angle, we can express its measure as a unique ______________ number from 0 to 180 degrees.
Protractor postulate: given any angle, we can express its measure as a unique real number from 0 to 180 degrees.
The protractor postulate is a fundamental concept in geometry that establishes a way to measure angles using a protractor. According to this postulate, every angle can be uniquely represented by a real number between 0 and 180 degrees.
A protractor is a geometric tool with a semicircular shape and marked degrees along its edge. To measure an angle using a protractor, we align the center of the protractor with the vertex of the angle and the baseline of the protractor with one side of the angle. We then read the degree measure where the other side of the angle intersects the protractor.
The protractor is divided into 180 degrees, with 0 degrees being the starting point at the baseline of the protractor, and 180 degrees being at the opposite end of the baseline. By aligning the protractor with an angle, we can determine its measure as a real number within this range.
For example, if we measure an angle using a protractor and find that the other side intersects the protractor at 45 degrees, we can express the measure of the angle as 45 degrees. Similarly, if the intersection point is at 90 degrees, the angle measure would be 90 degrees. The protractor postulate guarantees that these angle measures are unique within the range of 0 to 180 degrees.
It is important to note that the protractor postulate assumes that angles can be measured using a protractor and that the measurement is accurate and reliable. The postulate provides a consistent and standardized way to assign a numerical value to an angle, allowing for precise communication and comparison of angles in geometric contexts.
In summary, the protractor postulate establishes that the measure of any angle can be expressed as a unique real number between 0 and 180 degrees. This concept is fundamental in geometry and allows for the measurement, comparison, and communication of angles using a protractor.
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Find the area. Simplify your answer
Answer:algebra
Step-by-step explanation:
Answer: do 4x-18 which equals-72. So I believe your answer is -72. But I had help so don’t give me all th credit. Hope I helped!
a rectangular parking lot is 67.5 ft wide and 148 ft long. what is the area of the parking lot in square meters?
The area of the rectangular parking lot is 929.03 square meters.
Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:
Area = length × width
We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:
Area = 67.5 ft × 148 f
t= 9990 sq. ft
However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.
Area in square meters = Area in square feet × 0.092903
= 9990 sq. ft × 0.092903
= 929.03 sq meters
Therefore, the area is 929.03 square meters.
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Franco is a very busy professional DJ. Last year, he worked 8 weddings and 26 other events. What is the probability that one of the events Franco worked last year, selected at random, was a wedding?
The probability that one of the events Franco worked last year, selected at random, was a wedding is equals to the \( \frac{4}{17} \).
Franco is a professional DJ and he was very busy in work during Last year. Number of events where he worked = 26
Number of wedding where he worked
= 8
So, total events where he played his DJ
= 26 + 8 = 34
We have to determine probability that one of the events Franco worked last year, selected at random, was a wedding.
Now, one of event is Randomly selected from all of above events. Number of favourable outcomes for worked on wedding events = 8
So, probability of selected a wedding event \( = \frac{8}{34} \)
\( = \frac{4}{17} \). Hence the required probability value is \( \frac{4}{17} \).
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If cosx=square root of 3/2 , find cos (x+pi)
The value of cos (x + pi) is -✓3/2, based on the stated information and known trigonometric values.
As per the known fact, the value of x wil be 30° as it is the specific value whose cosine or cos is ✓3/2. Now, we also know that π represents 180°. Also, the formula for cos (a + b) is cos A cos B - sin A sin B.
So, cos (x + pi) will be -
cos x cos pi - sin x sin pi
Keeping the values and solving -
cos (x + pi) = cos 30 cos 180 - sin 30 sin 180
cos (x + pi) = (✓3/2 × -1) - (1/2 × 0)
cos (x + pi) = -✓3/2
Hence, the value of cos (x + pi) is -✓3/2.
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Calculate the test statistic 2
A local retailer currently schedules employees based on the assumption that they serve customers uniformly throughout the week (the same number each day). Management is starting to question this assumption and decides to collect data on the number of customers served each day of the week to
perform a Chi-Square goodness-of-fit test at a 5% significance level.
Monday Tuesday Wednesday Thursday Friday
Number Served 40 33 35 32 60
Total 200
Provided the assumptions of the test are satisfied, calculate the test statistic 2
The value of a Chi-Square goodness-of-fit test at a 5% significance level is 13.45
We need to perform a Chi-Square goodness-of-fit test at a 5% significance level.
First we need to calculate the expected count
expected value = ∑(x)/n
= (40 + 33 + 35 + 32 + 60)/5
= 200/5
= 40
Now we need tocalculate the test statistic value
Observed expected O - E (O - E)^t/E %
40 40 0 0 0
33 40 -7 1.225 9.11
35 40 -5 0.625 4.65
32 40 -8 1.6 11.90
60 40 20 10 74.35
Chi square test is 13.45
Therefore, the value of test statistics is 13.45.
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Compare: -9 __-1
using <, > =
Answer:
-9 < -1
Step-by-step explanation:
-9 is a lesser value than -1. On the number line, -9 appears more so to the left than -1.
we are interested in knowing if the distribution of a given categorical variable is consistent with some null hypothesis which test should be used
It is important to note that the chi-squared test of independence is applicable for categorical variables, and the assumptions of the test should be met for valid results.
What is null hypothesis?The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable.
To determine if the distribution of a given categorical variable is consistent with a null hypothesis, you can use a statistical test called the chi-squared test of independence.
The chi-squared test of independence is used to assess whether there is a significant association between two categorical variables. It compares the observed frequencies (counts) of each category in the given variable with the expected frequencies that would be observed if the null hypothesis were true. The null hypothesis typically assumes that there is no association or relationship between the variables, and any deviations from expected frequencies are due to random chance.
Here are the steps involved in conducting a chi-squared test of independence:
1. Formulate the null and alternative hypotheses: The null hypothesis assumes no association between the variables, while the alternative hypothesis suggests that there is an association.
2. Create a contingency table: Construct a contingency table that shows the observed frequencies of the categories for each variable.
3. Calculate the expected frequencies: Based on the null hypothesis, calculate the expected frequencies for each category. This is typically done assuming independence between the variables.
4. Calculate the test statistic: Using the observed and expected frequencies, calculate the chi-squared test statistic. This measures the overall discrepancy between the observed and expected frequencies.
5. Determine the p-value: The chi-squared test statistic follows a chi-squared distribution. Calculate the p-value associated with the test statistic, which represents the probability of obtaining results as extreme as the observed data under the null hypothesis.
6. Make a decision: Compare the p-value to a predetermined significance level (e.g., 0.05). If the p-value is smaller than the significance level, you reject the null hypothesis and conclude that there is evidence of an association between the variables. Otherwise, if the p-value is larger than the significance level, you fail to reject the null hypothesis and conclude that there is no evidence of an association.
It is important to note that the chi-squared test of independence is applicable for categorical variables, and the assumptions of the test should be met for valid results. These assumptions include having independent observations and sufficient expected frequencies in each cell of the contingency table.
It is also worth mentioning that there are other statistical tests available for specific scenarios or different types of categorical data analysis, such as Fisher's exact test or McNemar's test. The choice of the appropriate test depends on the research question, study design, and the specific characteristics of the data.
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: 4. (25 points) In planning a survival study to compare the survival of time between two treatment groups, we want to detect a 20% improvement in the median survival from 5 months to 6 months with 80% power at a = 0.05, and we plan on following patients for 1 year (12 months). Based on exponential assumption for survival distributions and 1 to 1 equal allocation of patient receiving either treatment A or treatment B, how many patients do we need to recruit for this study?
To detect a 20% improvement in median survival from 5 to 6 months with 80% power and a significance level of 0.05, following patients for 1 year, the required sample size can be calculated using power analysis formulas.
To determine the number of patients needed for the survival study, we can use power analysis calculations based on the specified parameters. In this case, we want to detect a 20% improvement in the median survival time from 5 months to 6 months, with 80% power at a significance level of 0.05. The study will follow patients for 1 year (12 months) assuming an exponential distribution for survival.
To calculate the required sample size, we can use statistical software or power analysis formulas. One common approach is to use the formula:
n = (2 * (Zα + Zβ)^2 * σ^2) / (δ^2)
where n is the required sample size, Zα is the Z-value for the chosen significance level (0.05), Zβ is the Z-value for the desired power (80%), σ is the standard deviation of the survival times (assumed to be equal for both treatment groups), and δ is the desired difference in survival times.
In conclusion, to detect a 20% improvement in median survival from 5 to 6 months with 80% power and a significance level of 0.05, following patients for 1 year, the required sample size can be calculated using power analysis formulas. By plugging in the appropriate values for Zα, Zβ, σ, and δ into the formula, the specific number of patients needed for the study can be determined.
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