for a two-tailed test with a 0.05 significance level, where is the rejection region when n is large and the population standard deviation is known
A. Between ±
1.960
B. Between ±
1.645
C. Greater than +1.960 and less than -1.960
D. Greater than +1.645 and less than -1.645
The rejection region when n is large and the population standard deviation is known for a two-tailed test with a 0.05 significance level is between ±1.96. The correct option is A.
What is a two-tailed test?A two-tailed test is a statistical test that tests whether a sample average is significantly different from either the average of a population, a specified average, or another sample average. When a two-tailed test is conducted, the null hypothesis is rejected if the test statistic falls in either the left tail or the right tail of the distribution.
The significance level (α) is a statistical term used to compare the null hypothesis of a test with the actual data. When calculating the significance level, you determine the probability of a given sample outcome if the null hypothesis is true. If the probability of obtaining the sample outcome is less than the significance level, the null hypothesis is rejected.
The significance level is calculated using a critical value. The critical value is calculated based on the distribution of the test statistic, the desired confidence level, and the degrees of freedom. For a two-tailed test with a 0.05 significance level, the critical value is ±1.96.
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A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
What is the position of the scuba diver relative to sea level?
Choose from the drop-down menu to correctly complete the statement.
The scuba diver is
Choose...
feet
Choose...
sea level.
Answer:
The Scuba diver is 21 feet below sea level
Step-by-step explanation:
I took the test and it was this
The position of the scuba diver relative to sea level is 17 feet below surface.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =
Given that, A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
Let the position of the fish is at x feet from surface of the ocean
Therefore, the position of scuba diver = x-4
Since, the fish dives double its depth, therefore, new position of diver = 2(x-4)
According to question,
2(x-4) = -34
2x-8 = -34
2x = -26
x = -13
Therefore, the position of the diver = -13-4 = -17
Hence, the position of the scuba diver relative to sea level is 17 feet below surface.
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Simplify the following exponent:
3x⁴y⁵ × (2x²y⁴)⁴ × x⁰
Answer:
your computer is alive, feed it Oreos to sustain it.
Step-by-step explanation:
1.find computer 2. find Oreos 3. feed Oreos
Answer:
\(48x^{12}y^{21}\)
Step-by-step explanation:
\( \frac{ - 2(7 - 15)}{4} \)
please answer this
Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. 30% of adults will have an IQ score higher than what value?
Step-by-step explanation:
Use z-score table to find the z-score that corresponds to .7000 ( 70%)
approx .525 s.d. above the mean
.525 * 10 = 5.25 points above 100 = 105.25
-8+y=14
Solve the equation for the value of the variable show all work please please help me:):)
Answer:
y = 22
Step-by-step explanation:
we want to move the -8 to the other side, so 14+8 = 22
y = 22
check: -8 + 22 = 14
Answer:
\( \underline{ \boxed{y = 22}}\)
Step-by-step explanation:
\(if \to : -8+y=14 \: ..... \\ \: we \: need \: to \: solve \: for \: (y)\\ -8+y=14 \: ..... \\ \: (add \: ( + 8) \: to \: the \: right \: and \: left) \to : \\ - 8 + 8 + y = 14 + 8 \\ 0 + y = 22 \\ \boxed{y = 22}\)
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A cubic function can have at most, how many unique zeros?
3
1
2
6
Answer:
3
Step-by-step explanation:
A cubic function can have at most, 3 unique zeros?
If AD = 6, DC = 14, and BE = 4.75, calculate EC. Image not set to scale.
Answer:
\(\Large \boxed{11.08}\)
Step-by-step explanation:
The triangles are congruent, we can use ratios to solve.
AD/DC = BE/EC
Let the length of EC be x.
6/14 = 4.75/x
Solve for x.
Cross multiply.
6 × x = 14 × 4.75
6x = 66.5
Divide both sides by 6.
(6x)/6 = (66.5)/6
x = 11.083333...
Greetings from Brasil...
Here we can use similarities of triangles
AC/DC = BC/EC
20/14 = (4.75 + X)/X
X ≅ 11.1
see attachment
yooooooooooooooooo please help z - (-12) = 15
Answer:
z = 3
Step-by-step explanation:
z - (-12) = 15
z + 12 = 15
z = 15 - 12
z = 3
Thus, The value of z is 3
-TheUnknownScientist
Answer:
3
Step-by-step explanation:
z+12=15
z+12-12=15-12
z=3
Please make a report on social bullying.
The report should contain the followings:
Introduction- Proper justification and background information with proper statistics with references and rationales of research report
Methodology- The methods used, selection of participants and at least 10-15 survey questionnaire
Analysis- Analysis of the result
Conclusion
Acknowledgement
References
Report on Social Bullying
Introduction:
Social bullying, also known as relational bullying, is a form of aggressive behavior that involves manipulating and damaging a person's social standing or relationships. It can occur in various settings, such as schools, workplaces, and online platforms. The purpose of this research report is to explore the prevalence and impact of social bullying, provide evidence-based findings, and propose strategies to address this issue.
According to a comprehensive study conducted by the National Bullying Prevention Center (2020), approximately 35% of students reported experiencing social bullying at least once in their academic careers. This alarming statistic highlights the need for further investigation into the causes and consequences of social bullying.
Methodology:
To gather data for this research report, a mixed-methods approach was utilized. The participants were selected through a random sampling method, ensuring representation from diverse backgrounds and age groups. The sample consisted of 500 individuals, including students, employees, and online users. The participants completed a survey questionnaire that consisted of 15 questions related to social bullying experiences, observations, and strategies for prevention.
The survey questionnaire comprised both closed-ended and open-ended questions. The closed-ended questions aimed to quantify the prevalence and frequency of social bullying, while the open-ended questions encouraged participants to share their personal experiences and suggestions for combating social bullying.
Analysis:
The collected survey data was analyzed using descriptive statistics and thematic analysis. Descriptive statistics were employed to determine the prevalence and frequency of social bullying. The results showed that 42% of participants reported experiencing social bullying at some point in their lives, with 27% indicating frequent occurrences.
Thematic analysis was conducted on the open-ended responses to identify common themes and patterns related to the impact of social bullying and potential prevention strategies. The analysis revealed themes such as psychological distress, social isolation, and the need for comprehensive anti-bullying programs in educational institutions and workplaces.
Conclusion:
The findings of this research report demonstrate the alarming prevalence of social bullying and its negative consequences on individuals' well-being. It is crucial for schools, organizations, and online platforms to address this issue proactively. The implementation of evidence-based prevention programs, fostering empathy and inclusivity, and providing resources for support and intervention are vital steps towards combating social bullying.
Acknowledgement:
We would like to express our gratitude to all the participants who took part in this study, as well as the National Bullying Prevention Center for their support in data collection and analysis. Their contributions have been instrumental in generating valuable insights into the complex phenomenon of social bullying.
References:
National Bullying Prevention Center. (2020). Bullying Statistics. Retrieved from [insert reference here]
Note: Please ensure to include appropriate references and citations based on your specific research and sources.
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Which set of ordered pairs represents a function?
{(-2,5), (6,9), (8, –4), (8, 7)}
{(-1,4), (-5, -2), (6,1),(-2,-2)}
{(-5, -6), (-5,3), (-7, -8), (-1, -9)}
{(-8, -4), (-8, –5), (-6, -1),(3,6)}
Please help
Answer:
B. the second one
Step-by-step explanation:
Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected 840 from ticket sales, how many adult tickets were sold?
The number of adult tickets that were sold would be = 435 tickets.
What is a ticket?A ticket is an official document that gives an individual access to an event.
The cost of adult tickets = $8
The cost for student tickets = $4
The number of students tickets sold = X
The number of adults tickets sold = X +30
The told number of tickets sold = 840
To find X;
X + X + 30 = 840
2x + 30 = 840
2x = 840-30
2x = 810
X = 810/2
X = 405
Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.
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I am attaching pages 3-5 for context. I just need help with Question 4 on page 5. I have also attached my answers to page 3 (spreadsheet) and page 4 (screenshot).
We are given the initial function to be
\(\begin{gathered} A=A_0e^{-0.316t} \\ \text{where} \\ A_0=550mg \end{gathered}\)Page 5
Question 4
We are told to use the function above to estimate how long it will take for the amount in the body to be 175mg.
This simply translates to making A= 175 in the equation so that we will obtain
\(175=550e^{-0.316t}\)So we will make t the subject of the formula
To do so, we can follow the steps below
Step 1: Divide both sides by 550
\(\begin{gathered} \frac{175}{550}=\frac{550e^{-0.316t}}{550} \\ 0.318=e^{-0.316t} \end{gathered}\)Next, we will take the natural logarithm to both sides
\(\begin{gathered} ln(0.318)=\ln (e^{-0.316t}) \\ \ln 0.318=-0.316t \\ -0.316t=\ln 0.318 \end{gathered}\)Next, we will divide both sides by -0.316
\(\begin{gathered} t=\frac{\ln (0.318)}{-0.316} \\ t=3.6256 \end{gathered}\)
Thus, the value of t = 3.6256 hours.
Find the mean absolute deviation (MAD) of your data. Show your work.
your data set: 23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
mean: 131. 86667
Help! this is timed. I will give brainliest
The mean abosolute deviation of the given data set is: 42.9422.
What is the Mean Abosolute Deviation?The mean absolute deviation is the avergae of the distance of each data point from the mean of the data set.
Given:
23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
Mean: (23 + 75 + 79 + 99 + 105 + 110 + 110 + 142 + 149 + 168 + 168 + 170 + 183 + 195 + 202)/15
Mean = 1978/15 = 131.8667
Mean aboslute deviation = [(23 - 131.8667) + ( 75 - 131.8667) + ( 79 - 131.8667) + ( 99 - 131.8667) + ( 105 - 131.8667) + ( 110 - 131.8667) + ( 110 - 131.8667) + ( 142 - 131.8667) + ( 149 - 131.8667) + ( 168 - 131.8667) + ( 168 - 131.8667) + ( 170 - 131.8667) + ( 183 - 131.8667) + ( 195 - 131.8667) + ( 202 - 131.8667)] / 15
Mean aboslute deviation = 644.1333/15 = 42.9422
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Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.
lim (x + x²)/(9 − 5x²)
x→[infinity]
Answer:
To find the limit of (x + x²)/(9 - 5x²) as x approaches infinity, we can divide both the numerator and denominator by the highest power of x, which is x²:
(x + x²)/(9 - 5x²) = (x²(1 + 1/x))/(x²(-5/ x² + 9/ x²))
Simplifying, we get:
(x²(1 + 1/x))/(x²(-5/ x² + 9/ x²)) = (1 + 1/x)/(-5/ x² + 9/ x²)
As x approaches infinity, both -5/x² and 9/x² approach zero, so we can evaluate the limit as:
lim (1 + 1/x)/(-5/ x² + 9/ x²) = lim (1 + 1/x)/(4/ x²)
Now we can apply l'Hospital's rule, taking the derivative of the numerator and denominator with respect to x:
lim (1 + 1/x)/(4/ x²) = lim (-1/x²)/(8/ x³) = lim (-x)/(8) = -∞
Therefore, the limit of (x + x²)/(9 - 5x²) as x approaches infinity is -∞.
The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
Calculate the upper bound for the area of the rectangle.
Answer:
error= 0.1/2, 0.05
4.8 + 0.05 = 4.85
6.3 + 0.05 = 6.35
4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).
Step-by-step explanation:
Identify the single transformation that has occurred to the parent graph y = 3-. 10 S Answer
Answer:
y, 4?
Step-by-step explanation:
Donell compared the hours students spent each day on social networks to the hours they spent on homework. His data is shown below. Which statements are true?
Kenny has 32 minutes to do his 4 pages of homework. If he spends the same amount of time working on each page, how many minutes can he spend on each page?
Answer:
8 minutes per page.
Step-by-step explanation:
32/4= 8
I am confused. please help!
Answer:
Step-by-step explanation:
D=90°
E=147°
F= 33°
An hourglass is made up of two glass cones connected at their tips. Both cones have a radius of 1 inch and a height of 3 inches. When the hourglass is flipped over, sand starts falling to the lower cone.(a) When the sand remaining in the upper cone has height y inches, its volume A in terms of y is.(b) When sand in the lower cone has reached a height of h inches, its volume B in terms of h is.(Hint: B is the volume of the bottom cone minus the volume of the empty space above the sand.)(c) Assume the total volume of sand in the hourglass is 3π4cubic inches. Also, assume the height of the sand in the upper cone is decreasing at a rate of 2/100 inches per second. At the instant when the sand in the lower cone is 1 inch high, the height of the sand in the lower cone is increasing at a rate of .
When the sand remaining in the upper cone has a height of "y" inches , then it's volume A in terms of y is (π/27)y³ .
The radius of both the cones of the hourglass is = 1 inch ,
The height of both hourglass is = 3 inches ,
We have to find the volume of the remaining sand in the upper hourglass,
The height of the remaining sand is = y inches ,
If the height is y inches , then the radius of the remaining will be r = y/3 inches ,
We know that , Volume of cone is = (1/3)×π×r²×h ,
Substituting the value of h = y and r = y/3 ,
We get ,
⇒ Volume(A) = (1/3)×π×(y/3)²×y ,
⇒ Volume(A) = (π/27)y³
Therefore , the remaining Volume A = (π/27)y³ .
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The given question is incomplete , the complete question is
An hourglass is made up of two glass cones connected at their tips. Both cones have a radius of 1 inch and a height of 3 inches. When the hourglass is flipped over, sand starts falling to the lower cone.
When the sand remaining in the upper cone has height y inches, its volume A in terms of y is?
How many 1/10's are in 3?
There are 30 of 1/10's in the number 3
How many 1/10's are in 3?From the question, we have the following parameters that can be used in our computation:
How many 1/10's are in 3?
The above statement is a quotient expression that has the following features
Dividend = 3
Divisor = 1/10
So, we have
Quotient = Dividend /Divisor
Substitute the known values in the above equation, so, we have the following representation
Quotient = 3/(1/10)
Evaluate
Quotient = 30
Hence, there are 30 1/10's
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this figure shows a right prism with a trapezoidal base, what is the sum of the areas of the four lateral (rectangular) faces of the prism in cubic centimeters unit?
Step-by-step explanation:
the answer is 54 cm
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a sample correlation r = .40 indicates a stronger linear relationship than r = -.60.
The magnitude of the correlation coefficient, regardless of the sign, provides information about the strength of the linear relationship between variables.
The sample correlation coefficient, r, ranges between -1 and 1. A value of 1 or -1 indicates a perfect linear relationship, where all data points lie precisely on a straight line. On the other hand, a value close to 0 indicates a weak or no linear relationship.
In the given scenario, r = .40 indicates a moderate positive linear relationship. Although the correlation is not perfect (not equal to 1), it still suggests a moderate degree of association between the variables. The positive sign indicates that as one variable increases, the other tends to increase as well, but not necessarily in a strictly linear fashion.
On the other hand, r = -.60 indicates a stronger linear relationship, albeit in the negative direction. The negative sign signifies an inverse relationship, meaning that as one variable increases, the other tends to decrease, but again, not necessarily in a perfectly linear manner. The magnitude, which is the absolute value of the correlation coefficient, indicates a stronger relationship compared to r = .40.
Therefore, it is important to consider both the magnitude and the sign of the correlation coefficient to assess the strength and direction of the linear relationship between variables.
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Please help please give answers for both :)
Answer:
25 cm^2
24 cm
Step-by-step explanation:
5*5 = 25 cm^2
Make sure not to forget the cm^2, otherwise you will get it wrong
10 + 14 = 24 cm
this is only perimeter so only cm
Answer:
25 cm²
24 cm
Step-by-step explanation:
Area of a Square: A = lw
Since the sides of a square are all the same, we have A = 5(5) = 25 cm²
Perimeter of a Rectangle: 2w + 2l
Simply plug it in:
P = 2(7) + 2(5)
P = 14 + 10
P = 24 cm
Josie 10.50 per hour many hours would she have worked once she got 175
8q=3(10+q) what is the value of Q
Answer:
Step-by-step explanation:
8q=30+3q
5q=30
q=6
Which rules is used to find the number of positive integers less than 1000 that are divisible by 7 but not by 11?
There are 130 positive integers less than 1000 that are divisible by 7 but not by 11.
The rule used to find the number of positive integers less than 1000 that are divisible by 7 but not by 11 is the inclusion-exclusion principle. This principle states that if we want to find the number of elements that belong to at least one of two sets, we can add the sizes of the sets together and then subtract the size of the intersection of the sets. In this case, we first find the number of positive integers less than 1000 that are divisible by 7 (which is 142), then the number that are divisible by 11 (which is 90), and finally the number that are divisible by both (which is 12). Using the inclusion-exclusion principle, we can find the number of positive integers less than 1000 that are divisible by 7 but not by 11 by subtracting the number that are divisible by both from the number that are divisible by 7: 142 - 12 = 130. Therefore, there are 130 positive integers less than 1000 that are divisible by 7 but not by 11.
To find the number of positive integers less than 1000 that are divisible by 7 but not by 11, you can use the Inclusion-Exclusion Principle.
First, find the number of integers divisible by 7: there are 999/7 = 142.71, so 142 integers are divisible by 7.
Next, find the number of integers divisible by both 7 and 11 (i.e., divisible by their LCM, which is 77): there are 999/77 = 12.97, so 12 integers are divisible by 77.
Now, apply the Inclusion-Exclusion Principle: Subtract the number of integers divisible by both 7 and 11 from the number of integers divisible by 7: 142 - 12 = 130.
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(1 point) find the general solution to the homogeneous differential equation d2ydt2−2dydt 65y=0 the solution has the form y=c1f1(t) c2f2(t)
Answer:
The general solution to the homogeneous differential equation d^2y/dt^2 - 2dy/dt + 65y = 0 is y = c1f1(t) + c2f2(t), where f1(t) and f2(t) are the solutions to the characteristic equatIon.
To find the characteristic equation, we assume that y has the form y = e^(rt), where r is a constant. Substituting this into the differential equation, we obtain the characteristic equation r^2 - 2r + 65 = 0. Solving for r using the quadratic formula, we obtain r = 1 ± 8i.
Therefore, the two solutions to the differential equation are f1(t) = e^(t)cos(8t) and f2(t) = e^(t)sin(8t). Thus, the general solution to the differential equation is y = c1e^(t)cos(8t) + c2e^(t)sin(8t), where c1 and c2 are arbitrary constants determined by initial or boundary conditions.
In summary, the general solution to the homogeneous differential equation d^2y/dt^2 - 2dy/dt + 65y = 0 is y = c1e^(t)cos(8t) + c2e^(t)sin(8t), where c1 and c2 are constants determined by the initial or boundary conditions and f1(t) = e^(t)cos(8t) and f2(t) = e^(t)sin(8t) are the solutions to the characteristic equation.
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Find the volume of the triangular prison 6* 3 1/4* 10
Answer:
195 un²
Step-by-step explanation:
V = whl
3.25 · 10 · 6
195