There is significant evidence to support the alternative hypothesis at the 0.05 level of significance.
If you use a 0.05 level of significance in a two-tail hypothesis test and obtain a z-statistic of -2.28, you would first find the critical z-values associated with the 0.05 significance level.
For a two-tail test, you would divide the significance level by 2, resulting in 0.025 in each tail. The critical z-values are approximately -1.96 and +1.96.
Since your z-statistic, -2.28, is less than the lower critical z-value of -1.96, you would reject the null hypothesis. This indicates that there is significant evidence to support the alternative hypothesis at the 0.05 level of significance.
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in order to estimate the mean age to be diagnosed with diabetes, a researcher takes a sample and finds the mean age to be 16.4. what type of statistical inference is this?
Answer:
This is a type of statistical inference known as a measure of center
Solve 18n - 7p-15n = 5p for n.
A n = 1
B. n=2p
C. n = 1/2
D. n=4p
Answer:
The answer is option DStep-by-step explanation:
18n - 7p-15n = 5p
To solve for n first make n the subject
Group like terms
That's
18n - 15n = 5p + 7p
Simplify
3n = 12p
Divide both sides by 3 to make n stand alone
That's
3n/3 = 12p/3
We have the final answer as
n = 4pHope this helps you
Answer:
D) n = 4p
Step-by-step explanation:
18n - 7p - 15n = 5p
18n - 15n = 5p + 7p
Add like terms
3n = 12p
Divide both sides by 3
3n/3 = 12p/3
n = 4p
a recent study shows that people spend about 31% of their time asleep. About how much time will a person spend asleep during an average of 78-year lifetime
Answer:
78×31%= approximately 24 years
Step-by-step explanation:
A similarity transformation consisting of a reflection
and a dilation is performed on a figure, and one point maps to itself. Explain how this can happen.
If the point in question is on the line of reflection, then the point won't move. Any point on a line of reflection stays where it is.
If that same point is the center of dilation, then it also doesn't move. The center of dilation is the only point that doesn't move in a dilation.
So the two conditions are:
The point must be on the line of reflectionThe point must be the center of dilationThese two facts mean that the line of reflection must go through the center of dilation.
the first four terms of an arithmetic sequence are 5, 9, 13, 17. the nth term formula of this sequence is 4n 1. write down the expression, in terms of n, for the (n 1) th term.
The first four terms of an arithmetic sequence are 5, 9, 13, 17 and the nth term formula of this sequence is 4n+1.
To find the expression for the (n-1)th term, we need to substitute (n-1) into the nth term formula.
So, the nth term formula is 4n+1.
Substituting (n-1) for n, we get:
4(n-1)+1 = 4n-3
Therefore, the expression for the (n-1)th term of an arithmetic sequence is 4n-3.
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If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be tru
Answer:
The leading coefficients of f(x) and g(x) are Opposites.Option A is the correct option.
Step-by-step explanation:
As the graph of ( f + g ) ( x ) is a line. So, ( f + g ) ( x ) is linear which means x² of f ( x ) and x² of g ( x ) get cancelled on adding . They must be equal and opposite in sign.
So, Option A is correct.
Hope this helps..
Best regards!!
please help pic attatched i will give brainliest
Answer:
N'(x)=90 In(43)*43^x-90 In(50)*43^x /50^x
Step-by-step explanation:
Answer:
N'(x)=90 In(43)*43^x-90 In(50)*43^x /50^x
Step-by-step explanation:
Im sorry if that doesnt make sense
Solve for y.
y/4= 5.12
Help me please and ty <3
Answer: y = 20.48
Step-by-step explanation:
To get rid of the denominator under the y you must multiply the entire equation by 4.
y = 20.48
That's all :)
Answer:
20.48 :)
Step-by-step explanation:
To find y you need to do 5.12 multiplies by 4 which is 20.48. Hope this helps <3
My mom likes to support my efforts on the cycling team, so she is always there to watch me race. At the last race, she became so excited that she promised to buy me 4 cupcakes for every three laps I completed. I completed a whole race, a whopping 24 laps! How many cupcakes did my mom buy me? Just write a number for an answer.
Answer:
I think that the answer is 32 cupcakes. I am sorry if this is wrong, but go subscribe to me at SSSniperwolf and LittleLia.
Step-by-step explanation:
Evaluate. Chesk by dfferentiating
∫ 6x e ^7x dx
Which of the following shows the correct uv - −∫v du formulatian? Choose the coerect answer below.
A. 6x−∫e^7xdx
B. 6 e^7x/7 - ∫e^7x/7 6x dx
C. e^7x−∫6xdx
D. 6x e^7x/7−∫e^7x/76dx
Evaluate ∫6xe^7x dx
∫f(x) e^7xdx = ____
The correct answer is B. 6 e^7x/7 - ∫e^7x/7 6x dx.
In the formula uv - ∫v du, u represents the first function to differentiate, and v represents the second function to integrate. Applying this formula to the given integral, we have:
u = 6x (the first function to differentiate)
v = e^7x (the second function to integrate)
Now, we differentiate the first function u and integrate the second function v:
du/dx = 6 (derivative of 6x with respect to x)
∫v dx = ∫e^7x dx = e^7x/7 (integral of e^7x with respect to x)
Using the formula uv - ∫v du, we can rewrite the integral as:
∫6x e^7x dx = u * v - ∫v du = 6x * e^7x - ∫e^7x du = 6x * e^7x - ∫e^7x * 6 dx
Simplifying the expression, we get:
∫6x e^7x dx = 6x * e^7x - 6 * ∫e^7x dx = 6 e^7x * x - 6 * (e^7x/7) = 6 e^7x/7 - ∫e^7x/7 6x dx
Therefore, option B. 6 e^7x/7 - ∫e^7x/7 6x dx is the correct choice.
Now, evaluating ∫6xe^7x dx:
From the previous derivation, we have:
∫6x e^7x dx = 6 e^7x/7 - ∫e^7x/7 6x dx
Integrating the expression, we obtain:
∫6xe^7x dx = 6 e^7x/7 - (6/7) ∫e^7x dx = 6 e^7x/7 - (6/7) * (e^7x/7)
Simplifying further, we get:
∫6xe^7x dx = 6 e^7x/7 - 6 e^7x/49
So, ∫6xe^7x dx is equal to 6 e^7x/7 - 6 e^7x/49.
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If we have an effect, would error variance go away?
No, the presence of an effect does not necessarily imply that error variance will go away.
Why could not error variance go away?The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.
Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.
It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.
One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.
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The sum of the interior angles of a regular polygon is 2340o. Find the measure of an exterior angle to the nearest degree.
The measure of an exterior angle of the regular polygon is given by 180 - (2340/2n) to the nearest degree.
The sum of the interior angles of a regular polygon is 2340°. Find the measure of an exterior angle to the nearest degree.
To find the measure of an exterior angle of a regular polygon, use the formula
`exterior angle = 360/n`,
where n is the number of sides of the polygon.
For instance, a regular polygon with 6 sides has six interior angles, each measuring 120 degrees. Using the formula
`exterior angle = 360/6`,
we get the exterior angle of the regular hexagon to be 60 degrees.
If the sum of the interior angles of a polygon with n sides is 2340°, the formula for calculating the measure of an interior angle `a` is given as:
a = (n - 2) × 180/n
Thus, a = (n - 2) × 180/n = 2340/n.
Now, using the formula for finding the exterior angle of a regular polygon, we have:
exterior angle = 360/n = 180 - a/2
Using the value of a we found earlier and substituting it into the formula, we get:
exterior angle = 180 - (2340/2n)
Therefore, the measure of an exterior angle of the regular polygon is given by `180 - (2340/2n)`.
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in a class of 23 students, 7 have brothers and 5 have sisters. There are 2 students who have a brother and a sister. what is the probability that a student who has a brother also has a sister?
The probability that a student who has a brother also has a sister is 2/7 or approximately 0.2857.
To find the probability that a student who has a brother also has a sister, we need to use the concept of conditional probability.
Let's first find the probability of a student having both a brother and a sister. According to the problem, there are 2 students who have both a brother and a sister. Therefore, the probability of a student having both a brother and a sister is:
P(Brother and Sister) = 2/23
Now, let's find the probability of a student having a brother:
P(Brother) = 7/23
Using the formula for conditional probability, we can find the probability that a student who has a brother also has a sister:
P(Sister|Brother) = P(Brother and Sister) / P(Brother)
Substituting the values we found, we get:
P(Sister|Brother) = (2/23) / (7/23) = 2/7
This means that if we randomly select a student who has a brother, the probability that they also have a sister is about 0.2857.
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The axis of symmetry for the graph of the function s1x) = 2x2 + bx + 10
2 + bx + 10 is x=6. What is the value of b?
Answer:
b = -4
Step-by-step explanation:
The formula for b is
-b
x = ------- and so -b = 2ax, or b = -2ax
2a
if the axis of symmetry is known, but we need b, substitute the given x and a values to find b:
b = -2(2) = -4
b = -4
The function is then y = 2x^2 - 4x + 10
Find the common ratio of the following geometric sequence:
4, 8, 16,....
What is the rejection region in a one-tailed hypothesis test with a significance level of 0.05?
A) the upper 5% of the distribution
B) the lower 5% of the distribution
C) the upper 2.5% of the distribution
D) the lower 2.5% of the distribution
The rejection region in a one-tailed hypothesis test with a significance level of 0.05 is the upper 5% of the distribution. The correct answer is option A.
In a one-tailed hypothesis test with a significance level of 0.05, the rejection region is determined based on the tail of the distribution that corresponds to the alternative hypothesis. Since the significance level is 0.05, which means a 5% chance of making a Type I error, the rejection region will be either in the upper or lower tail of the distribution, depending on the direction of the alternative hypothesis.If the alternative hypothesis suggests that the parameter is greater than the null hypothesis value, the rejection region will be in the upper tail of the distribution. In this case, the correct choice would be: A) the upper 5% of the distributionIf the alternative hypothesis suggests that the parameter is smaller than the null hypothesis value, the rejection region will be in the lower tail of the distribution. In this case, the correct choice would be: B) the lower 5% of the distributionThere are two forms of the one-tailed test: a right-tailed test (a test where the rejection region is on the right-hand side of the sampling distribution) and a left-tailed test (a test where the rejection region is on the left-hand side of the sampling distribution).Thus, the rejection region in a one-tailed hypothesis test with a significance level of 0.05 is the upper 5% of the distribution.
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Given the first type of plot indicated in each pair, which of the second plots could not always be generated from it. a). dot plot, box plot b).box plot, histogram c). dot plot, histogram d). stem and leaf, dot plot
The second plot that could not always be generated from a dot plot is a histogram. Thee correct option is c) dot plot, histogram.
What is histogram?A histogram is a graphic depiction of a frequency distribution with continuous classes that has been grouped. It is an area diagram, which is described as a collection of rectangles with bases that correspond to the distances between class boundaries and areas that are proportionate to the frequencies in the respective classes.
The second plot that could not always be generated from the first plot in each pair is:
c) dot plot, histogram
A dot plot is a type of plot where each data point is represented by a dot along a number line. It shows the frequency or distribution of a dataset.
A histogram, on the other hand, represents the distribution of a dataset by dividing the data into intervals or bins and displaying the frequencies or relative frequencies of each interval as bars.
While a dot plot can be converted into a histogram by grouping the data points into intervals and representing their frequencies with bars, it is not always possible to reverse the process and generate a dot plot from a histogram. This is because a histogram does not provide the exact positions of individual data points, only the frequencies within intervals.
Therefore, the second plot that could not always be generated from a dot plot is a histogram.
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What is Van t Hoff law explain?
Van 't Hoff's law, also known as the law of osmotic pressure, states that the magnitude of the osmotic pressure is directly proportional to the concentration of solute particles in a solution at a given temperature.
Van 't Hoff's law is an important concept in chemistry and thermodynamics. It explains the relationship between osmotic pressure and the concentration of solute particles in a solution. According to the law, the osmotic pressure of a solution is directly proportional to the number of solute particles in the solution, regardless of the type of solute. This means that if the concentration of solute particles in a solution increases, the osmotic pressure also increases, and vice versa. This law has numerous applications, particularly in the field of biology, where it is used to explain the movement of water and nutrients in and out of cells. For example, when a plant cell is placed in a hypertonic solution, water moves out of the cell, causing it to shrink. On the other hand, when a plant cell is placed in a hypotonic solution, water moves into the cell, causing it to expand. Understanding Van 't Hoff's law is therefore critical in many fields of science, particularly in biology, chemistry, and chemical engineering.
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The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a particular treatment, an individual's predicted survival time is 2.8 standard deviations beyond the mean. How much longer, after diagnosis, is the patient expected to survive?
Answer:
The time the patient expected to survive after diagnosis is 29 years.
Step-by-step explanation:
It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.
That is,
\(\mu=15\\\sigma=5\)
An individual's predicted survival time is a = 2.8 standard deviations beyond the mean.
Compute the time the patient expected to survive after diagnosis as follows:
\(X=\mu+a\sigma\)
\(=15+(2.8\times 5)\\\\=15+14\\\\=29\)
Thus, the time the patient expected to survive after diagnosis is 29 years.
350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be be in the sample
Answer:
10 teenagers
Step-by-step explanation:
using the formula i took the sample size of 30, then added all of the cumulative frequency to get to 650
no of teenagers = 10
Identify the prime numbers in the following lists. a. 5, 7, 12, 11b. 14, 6, 3c. 31, 17, 9, 15d. 782, 61, 2
a. The prime numbers in this list are 5 and 7. b. There are no prime numbers in this list. c. The prime numbers in this list are 31 and 17. d. The prime numbers in this list are 61 and 2.
a. In the list 5, 7, 12, 11, the prime numbers are 5, 7, and 11. Prime numbers are numbers greater than 1 that have only two factors, 1 and themselves.
b. In the list 14, 6, 3, the prime number is 3. The other numbers have more than two factors, making them not prime.
c. In the list 31, 17, 9, 15, the prime numbers are 31 and 17. The numbers 9 and 15 have more than two factors, so they are not prime.
d. In the list 782, 61, 2, the prime numbers are 61 and 2. Number 2 is the smallest prime number, and 61 has only two factors, 1 and 61. The number 782 has more than two factors, so it is not prime.
To summarize, the prime numbers in each list are: a. 5, 7, 11; b. 3; c. 31, 17; d. 61, 2.
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Is it possible to solve 3 equations with 4 variables?
A linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form can be solved.
What is linear system?A mathematical representation of a system based on the application of a linear operator is known as a "linear system" in systems theory. Ordinarily, compared to nonlinear systems, linear systems display much simpler features and properties. The automatic control theory, signal processing, and telecommunications all heavily rely on linear systems as a mathematical abstraction or idealisation.
Linear systems, for instance, are frequently used to model the propagation medium for wireless communication systems. An operator, H, that converts an input, x(t), into an output, y(t), a kind of black box description, can be used to describe a general deterministic system.
The superposition principle, or alternatively both the additivity and homogeneity properties, must be satisfied by a system to be considered linear, and only then.
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is the equation below represent a direct proportion. if so what is the constant 3x + 4 = y
The expression for a linear equation in thee slope-intercept form is ,
y = mx + b
the slope = m= (y2-y1)/ (x2-x1)
y-intercept is (0, b)
___________________
Rearreging tha expresion
y = 3x + 4
The rate is the slope (m) = 3
__________________________
Answer
the constant, in this case, is 3
In regression analysis, an outlier is an observation whose
a. residual is much larger than the rest of the residual values b. mean is zero c. residual is zero d. mean is larger than the standard deviation
a. residual is much larger than the rest of the residual values.
In regression analysis, an outlier refers to an observation that significantly deviates from the expected pattern or trend of the data. Specifically, it is an observation whose residual (the difference between the observed value and the predicted value) is much larger than the residuals of the other observations.
Outliers can have a considerable impact on the regression model, affecting the estimated coefficients and overall model fit. It is important to identify and assess outliers to determine if they are influential or if they should be treated or removed to ensure the reliability and validity of the regression analysis.
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The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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can you please help with this?:)
Answer:
The two lines are neither parallel nor perpendicular
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + b
where m is the slope of the line and b is the y intercept of the line
Now, we express the two given equations in this form
We have this as;
7y = x + 5
y = 1/7(x) + 5/7
For the second equation, we have;
y = 7x - 4; this is already expressed
the slope of the first line is 1/7
the slope of the second line is 7
when two lines are parallel, their slopes are equal
when two lines are perpendicular, the product of their slopes is -1
As we can see, both cases does not occur in this system of equations
So, we can conclude that both lines are neither parallel nor perpendicular
If a population has 500 individuals in it in 2010, and the per capita birth rate is 0.3 and the per capita death rate is 0.2, is the population growing or shrinking?
The population is growing as the births are more than deaths in an year.
What is Population Growth?Increases in a population's or a dispersed group's membership are referred to as population growth.
Given:
Total population = 500Per capita birth rate = 0.3Per capita death rate = 0.2To find: Is population growing or shrinking?
Finding:
Number of new-borns in an year = total population (per capita birth rate) = 500(0.3) = 150Number of deaths in an year = total population (per capita death rate) = 500(0.2) = 100Difference in the number of births and deaths = 150 - 100 = 50Hence the population is growing as the births are more than deaths in an year.
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Please need help nowwwwww helpppppp
Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6 . (1 point)
Answer:
answer: the answer is 30 miles per hour.
ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000
r3ktforgood
the correct answer is 5 6 and 7
Step-by-step explanation:
An art class of 20 students took a final exam and ten of the students scored between 78 and 86 in the exam. If s is defined as the scores of the ten students, which of the following describes all possible values of s ?
A
∣s−82∣=4
B
∣s+82∣=4
C
∣s−82∣<4
D
∣s+82∣<4
The correct option is option C: ∣s−82∣<4, which describes all possible values of s.
How to describe possible values?The correct option is option C: ∣s−82∣<4, which describes all possible values of s
Option A (∣s - 82∣ = 4) would indicate that all the scores are exactly 4 units away from 82, which is not the case as some scores could be less than 82 or greater than 86.
Option B (∣s + 82∣ = 4) would indicate that all the scores are exactly 4 units away from -82, which is not relevant to the given situation.
Option C (∣s - 82∣ < 4) correctly indicates that the scores can vary within a range that is less than 4 units away from 82. This range includes scores between 78 and 86, as mentioned in the question.
Option D (∣s + 82∣ < 4) would indicate that all the scores are exactly less than 4 units away from -82, which is not relevant to the given situation.
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