in a random sample of 400 headache suffers, 85 prefer a particular brand of pain killer. how large a sample is required if we want to be 99% confidence that our estimate of percentage of people with headaches who prefer this particular brand of pain killer is within 2 percentage points? round your answer to the next whole number. n:
Answers
A sample size of 669 is required to be 99% confident that the estimate of the percentage of people with headaches who prefer this particular brand of painkiller is within 2 percentage points.
To determine the sample size required to estimate the percentage of people with headaches who prefer a particular brand of painkiller with a 99% confidence level and a margin of error of 2 percentage points, we can use the formula for sample size calculation for proportions.
The formula is given by:
\(n = (Z^2 * p * (1 - p)) / E^2\)
Where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (in this case, for a 99% confidence level, Z = 2.576)
p = estimated proportion (we can use the proportion from the initial sample, which is 85/400 = 0.2125)
E = margin of error (0.02 or 2 percentage points)
Substituting the values into the formula:
\(n = (2.576^2 * 0.2125 * (1 - 0.2125)) / 0.02^2\)
Calculating the expression:
n = 668.34
Rounding up to the nearest whole number, the required sample size is 669.
Therefore, a sample size of 669 is required to be 99% confident that the estimate of the percentage of people with headaches who prefer this particular brand of painkiller is within 2 percentage points.
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Related Questions
PLEASE HELP!!!!
Given vector bold lower u equals left angle bracket 6 comma negative 4 right angle bracket and the graph of vector v, find bold lower v minus 2 bold lower u and express the result in terms of i and j.
A. negative 18 bold lower I minus 8 bold lower j
B. 6i + 6j
C. 10j
D. 24 bold lower I minus 6 bold lower j
Answers
The required expression for the given vector is 10j.
What is vector?A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.
The sum of two vector quantities is always a vector quantity.
The sum of two vector quantities can vary from their scalar difference to their scalar addition.
The vector is given as u = (6, -4)
Which can be written as u = (6 - 0)i + (-4 - 0)j = 6i - 4j.
And, from the graph the vector v is v = (7 - (-5))i + (2 - 0)j = 12i + 2j
Then, the vector v - 2u can be calculated as follows,
v - 2u = 12i + 2j - 2(6i - 4j)
= 10j
Hence, the vector v - 2u can be evaluated as 10j.
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a table or spreadsheet used to systematically evaluate options according to specific criteria is a ________.
Answers
A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.
A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.
The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.
By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.
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Praveena Limited makes a single product, T, using a single raw material R. Standard cost relating to T have been calculated as follows. Standard cost schedule Per Unit (Rs) Direct material, R, 10kg at Rs. 20 per kg 200 Direct labour, 5 hours at Rs.6 per hour 30 Variable production overhead, 5 hours at Rs.1 per hour 5 Fixed production overhead, 5 hours at Rs.10 per hour 50 Standard cost 285 Standard profit 95 Standard selling price 380 The company expects to produce 900 units in month of April 2021. During April 2021 the actual results are as follows. 800 units of product T were produced and sold at Rs. 312,000. 7800 kgs costing Rs. 159,900 were bought and used. 4200 hours were worked during the month and total wages were Rs. 24,150. The variable production overhead for the month was Rs. 4,900. The fixed production overhead for the month was Rs. 47,000. 1. Calculate the following variances for the month of April 2021. a. Direct material cost variance and direct material usage variance b. Direct labor rate variance and direct labor efficiency variance c. Variable overhead expenditure variance and variable overhead efficiency variance d. Fixed overhead expenditure variance, fixed overhead efficiency variance and fixed overhead capacity variance e. Sales price variance and sales volume variance 8 1. Prepare a summary of total cost variances and total sales variances. 2. Identify possible causes for the variances and recommend corrective actions for adverse variances.
Answers
a. Direct material cost variance:
Actual cost of material = Rs. 159,900
Standard cost of material = 800 units × (10 kg × Rs. 20/kg) = Rs. 160,000
Direct material cost variance = Actual cost - Standard cost
Direct material cost variance = Rs. 159,900 - Rs. 160,000 = Rs. -100 (Adverse)
Direct material usage variance:
Actual quantity used = 7800 kg
Standard quantity allowed = 800 units × 10 kg = 8000 kg
Standard price per kg = Rs. 20/kg
Direct material usage variance = (Actual quantity used - Standard quantity allowed) × Standard price per kg
Direct material usage variance = (7800 kg - 8000 kg) × Rs. 20/kg = Rs. -40,000 (Adverse)
b. Direct labor rate variance:
Actual rate per hour = Rs. 24,150 / 4200 hours = Rs. 5.75/hr
Standard rate per hour = Rs. 6/hr
Direct labor rate variance = (Actual rate per hour - Standard rate per hour) × Actual hours worked
Direct labor rate variance = (Rs. 5.75/hr - Rs. 6/hr) × 4200 hours = Rs. -525 (Adverse)
Direct labor efficiency variance:
Actual hours worked = 4200 hours
Standard hours allowed = 800 units × 5 hours = 4000 hours
Standard rate per hour = Rs. 6/hr
Direct labor efficiency variance = (Actual hours worked - Standard hours allowed) × Standard rate per hour
Direct labor efficiency variance = (4200 hours - 4000 hours) × Rs. 6/hr = Rs. 1200 (Favorable)
c. Variable overhead expenditure variance:
Actual variable overhead = Rs. 4,900
Standard variable overhead = 800 units × (5 hours × Rs. 1/hr) = Rs. 4000
Variable overhead expenditure variance = Actual variable overhead - Standard variable overhead
Variable overhead expenditure variance = Rs. 4,900 - Rs. 4000 = Rs. 900 (Adverse)
Variable overhead efficiency variance:
Actual hours worked = 4200 hours
Standard hours allowed = 800 units × 5 hours = 4000 hours
Standard variable overhead rate per hour = Rs. 1/hr
Variable overhead efficiency variance = (Actual hours worked - Standard hours allowed) × Standard variable overhead rate per hour
Variable overhead efficiency variance = (4200 hours - 4000 hours) × Rs. 1/hr = Rs. 200 (Favorable)
d. Fixed overhead expenditure variance:
Actual fixed overhead = Rs. 47,000
Standard fixed overhead = 800 units × (5 hours × Rs. 10/hr) = Rs. 40,000
Fixed overhead expenditure variance = Actual fixed overhead - Standard fixed overhead
Fixed overhead expenditure variance = Rs. 47,000 - Rs. 40,000 = Rs. 7,000 (Adverse)
Fixed overhead efficiency variance:
Actual hours worked = 4200 hours
Standard hours allowed = 800 units × 5 hours = 4000 hours
Standard fixed overhead rate per hour = Rs. 10/hr
Fixed overhead efficiency variance = (Actual hours worked - Standard hours allowed) × Standard fixed overhead rate per hour
Fixed overhead efficiency variance = (4200 hours - 4000 hours) × Rs. 10/hr = Rs. 2000 (Favorable)
Fixed overhead capacity variance:
Standard hours allowed =
2 3 6 4 5 4 4 4 3 2 5 3 6 6 4 1 1 2 3 2 4 2 1 4 2
What is the mean of this data set?
Answers
Is 2 a factor of 8 why or why not
Answers
Answer:
Yes, 2 is a factor of 8.
Step-by-step explanation:
If 8 is divisible by 2, it leaves a quotient of 4 and remainder 0, and hence 2 is a factor of 8.
Answer:
Yes, 2 is the only factor
Step-by-step explanation:
The factors of 8 are 1, 2, 4, and 8. 1 is a universal factor because it is a factor of all numbers. The factors of 8 in pairs are (2, 4) and (1, 8).
I hope this helps.
find the tightness of cauchy schwarz inequality
Answers
The tightness of the Cauchy-Schwarz inequality occurs when the inequality becomes an equality, that is, when the sum of the product of two sequences equals the product of their norms. In such a case, the two sequences are linearly dependent or proportional.
The Cauchy-Schwarz inequality states that for any sequences (a1, a2, ..., an) and (b1, b2, ..., bn), the following inequality holds: |∑(ai * bi)|^2 ≤ ∑(ai^2) * ∑(bi^2), where the summations are from i=1 to n. The tightness of the Cauchy-Schwarz inequality is achieved when there exists a constant k such that ai = k * bi for all i. In this situation, the two sequences are linearly dependent, and the inequality becomes an equality: |∑(ai * bi)|^2 = ∑(ai^2) * ∑(bi^2).
The tightness of the Cauchy-Schwarz inequality can be useful in various applications, such as determining the angle between two vectors, understanding linear relationships between sequences, and solving problems in mathematics, physics, and engineering. When the inequality becomes tight, it provides valuable information about the relationships between the involved sequences, and helps in solving complex problems more efficiently.
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Simplify the expression
Answers
Answer:
\(a^6\)
Step-by-step explanation:
a^3 * a^3
= a^3+3
= a^6
Answer:
a⁶ is the simplified expression of a³ • a³
Victor was having a hard time deciding which new vehicle he should buy. He decided to make the final decision based on the gas efficiency of each car. A car that is more gas efficient gets more miles per gallon of gas. When he asked the manager at each car dealership for the gas mileage data, he received two different representations, which are shown below.
Answers
Answer:
Victor should buy Legend because it has a better unit rate
Step-by-step explanation:
See attachment for complete question.
To determine which car has more gas efficiency, we have to calculate the slope of each car.
Vehicle 1: Legend
Take any two corresponding points from the table
\((x_1,y_1) = (4,72)\)
\((x_2,y_2) = (12,216)\)
The slope is then calculated using;
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{216 - 72}{12 - 4}\)
\(m = \frac{144}{8}\)
\(m = 18\)
This implies that this vehicle (legend) travels 18 miles per gallon of gas
Vehicle 2: Supreme
Take any two corresponding points from the graph
\((x_1,y_1) = (0,0)\)
\((x_2,y_2) = (15,250)\)
The slope is then calculated using;
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{250 - 0}{15 - 0}\)
\(m = \frac{250}{15}\)
\(m = 16.7\)
This implies that this vehicle (supreme) travels 16.7 miles per gallon of gas
Base on the calculations above, Victor should buy Legend because it has a better unit rate
Jerry lives in a city where all the roads are organized into square blocks and the roads either run North/South or East/West (forming a big square grid). Jerry goes out walking one day. He starts by walking 3 blocks North and then 4 blocks East. Jerry next walks 2 blocks South and 1 block West, when he realizes it is getting late and he must get home quickly. If Jerry walks on the roads home using as few blocks as possible, how many blocks will it take?
Answers
Answer:
it will take Jerry 4 blocks to get home. 3 blocks West and 1 block South
Step-by-step explanation:
We use our vector notation to describe the problem. Since Jerry walks 3 blocks North, he moves in the direction 3j. He then walks 4 blocks East in the direction 4i. He walks 2 blocks South in the direction -2j and 1 block West in the direction -i.
So, his position vector r = 3j + 4i - 2j - i = 4i - i + 3j - 2j = 3i + j.
Now if we assume his home was at the origin, then his initial position r₀ = 0i + 0j
Since he is supposed to return home from his current position, his displacement is final position - initial position = r₀ - r = 0i + 0j -(3i + j) = 0i - 3i + 0i - i = -3i - j
Since -i means movement in the West direction, -3i means movement 3 blocks West.
Since -j means movement in the Southern direction, -j means movement 1 blocks South.
So, it will take Jerry 1 + 3 blocks = 4 blocks to get home. 3 blocks West and 1 block South
the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring. true/false
Answers
The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.
The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:
P(A or B) = P(A) + P(B) - P(A and B)
On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:
P(A and B) = P(A) * P(B|A)
where P(B|A) is the conditional probability of B given that A has occurred.
It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.
In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.
In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.
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What value of c would complete the square?
x² - 6x+c
Answers
x^2-2×c×x+c^2
x^2-2×3×x+c^2
Which statement describes this mapping diagram?
A 10 is the output of two different inputs.
B This is not a function because one input has two different outputs.
C This is a function because every input has one output.
D The input 17 has two outputs, 0 and 2.
Answers
Therefore, the correct answer is B: "This is not a function because one input has two different outputs."
What is mapping diagram?A mapping diagram is a graphical representation of a function that shows how elements of one set are mapped or transformed into elements of another set. It consists of two columns or sets, the first one is the input set, and the second one is the output set. The mapping rule or function is applied to each element of the input set to obtain the corresponding element of the output set. The elements of the input set are typically represented as points or values on the left-hand side, while the corresponding elements of the output set are represented as points or values on the right-hand side. Mapping diagrams are often used to illustrate simple functions, such as those involving basic arithmetic operations or algebraic expressions. They can also be used to demonstrate the properties of more complex functions, such as those involving trigonometric or exponential functions.
Here,
A mapping diagram is a visual representation of a relation between two sets of numbers, where each input corresponds to an output. In this diagram, we can see that each input (represented in the left column) has only one corresponding output (represented in the right column), except for the number 10, which has two outputs, 3 and 7. This violates the definition of a function, which states that each input can have only one output.
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3x−(2x+1) for x=7 5/13
Answers
Answer:
83/13 or 6.3846
Step-by-step explanation:
i subsituted for x and used a calculator
10. Jim estimates the width of his wall to be 7.5 feet. The actual wall measures 8.25 feet wide. What is
Jim's percent error?
Answers
Answer:
Below
Step-by-step explanation:
Error : (8.25 - 7.5)
% error : ( 8.25-7.5) / 8.25 * 100% = 9.1 %
Jim's percent error is 9.09%.
What is the percentage error?
The percentage error is given as the difference between the actual value and the estimated value divided by the actual value, multiplied by 100%.
The percentage error is a relative value that compares the actual value and the estimated value to explain any deviations.
Estimated width of wall = 7.5 feet
The actual width of the wall = 8.25 feet
The difference in estimate = (8.25 - 7.5) = 0.75 feet
Percentage Error = (0.75/8.25 x 100) = 9.09%
Thus, we can conclude that Jim made a percentage error of 9.09% in his estimate of the width of the wall.
(3882+3561+3459+2587+ 2817
+2068+2516+3590+2740+2572) ÷ 10
Mean =
Answers
Divide: 29,792 / 10
Solution:
2979.2
In real-life applications, statistics helps us analyze data to extract information about a population. In this module discussion, you will take on the role of Susan, a high school principal. She is planning on having a large movie night for the high school. She has received a lot of feedback on which movie to show and sees differences in movie preferences by gender and also by grade level. She knows if the wrong movie is shown, it could reduce event turnout by 50%. She would like to maximize the number of students who attend and would like to select a PG-rated movie based on the overall student population's movie preferences. Each student is assigned a classroom with other students in their grade. She has a spreadsheet that lists the names of each student, their classroom, and their grade. Susan knows a simple random sample would provide a good representation of the population of students at their high school, but wonders if a different method would be better. a. Describe to Susan how to take a sample of the student population that would not represent the population well. b. Describe to Susan how to take a sample of the student population that would represent the population well. c. Finally, describe the relationship of a sample to a population and classify your two samples as random, cluster, stratified, or convenience.
Answers
a. To take a sample of the student population that would not represent the population well, Susan could use a biased sampling method.
For example, she could choose students only from specific classrooms or grade levels that she believes have a certain movie preference, or she could select students based on her personal biases or preferences. This would introduce sampling bias and potentially skew the results, leading to a sample that does not accurately reflect the overall student population.b. To take a sample of the student population that would represent the population well, Susan should use a random sampling method. Random sampling ensures that every student in the population has an equal chance of being selected for the sample.c. A sample is a subset of the population that is selected for analysis to make inferences about the entire population. The relationship between a sample and a population is that the sample is used to draw conclusions or make predictions about the population as a whole.To know more about Random samples:- https://brainly.com/question/30759604
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Each morning Rin rides 1.5 miles to school and then rides home in the afternoon. Later in the evening, she rides to the park and back home. Over the 5 school days, she rides a total of 25 miles. Which equation can be used to find the distance she rides each evening?
1.5 + x = 25
1.5 + 1.5 + x = 25
5 (1.5 + x) = 25
5 (1.5 + 1.5 + x) = 25
Answers
Answer:
Last equation given in the list of possible answers:
5 ( 1.5 + 1.5 + x ) = 25
Step-by-step explanation:
We need to include in the total addition of miles ridden during the week:
a) 1.5 miles to the school
b) 1.5 miles from school back home
c) x miles for the evening ride
so for the miles ridden per day we have: "1.5 +1.5 + x"
Now, since per week she does 5 days like this, then we need to multiply the expression above by 5 in order to total the number of miles she rides weekly (25 miles)
5 ( 1.5 + 1.5 + x ) = 25
And we can use this equation to find the amount "x" that Rin rides in the evening.
Answer:
The answer is D.5 (1.5 + 1.5 + x) = 25
Step-by-step explanation:
PLEASE HELP ME!!!!!!!
Answers
Answer:
I think 26 for the quadrilateral on the 2nd page
Step-by-step explanation:
8 + 4 + 4+ 10
8 is on the top and 4 is on both sides just the right is angled differently and the bottom i think 10...IM SORRY IF YOU GET T WRONG I TRIED MY BEST!!!!!!
What is 497,140 4 -10?
O 497 1404
O4,971,404
49.714.04
497 140,400
Answers
\(497,140 4 -10 \: = 4971394\)
Can you factor x² + 9?
Answers
Answer:
x square + 3 Square
(x + 3)square
X Square + 3 Square + 2x3
3) Why does the following equation have no solutions? (Explain your answer with words and simplifying the equation)
Answers
The equation is false (we can remove the dependence with the variable x) that is why the equation has no solutions.
Why the equation has no solutions?Here we have the following linear equation:
5 - 4x - 7 - 10x = -8x - 4 - 6x - 10
We want to see why we don't have any solutions, to check that, we need to simplify both sides of the equation. Let's start by grouping like terms:
5 - 4x - 7 - 10x = -8x - 4 - 6x - 10
(5 - 7) + (-4x - 10x) = (-4 - 10) + (-8x - 6x)
-2 - 14x = -14 - 14x
Notice that now we can add 14x in both sides of the equation, then we will get:
-2 -14x + 14x = -14 - 14x + 14x
-2 = -14
So we have a false equation, this happens because the equation does not truly depend of the value of x.
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PLEASE HURRY!! Which point is located at (-6,-5)?
Answers
Answer:
The answer is Point N
Step-by-step explanation:
Nothing more
Answer:
p
Step-by-step explanation:
if a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can:
Answers
If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can increase the sample size.
The margin of error refers to the statistic measurement that expresses the level of random sampling error in the outcomes of a survey. If the margin of error of the result is high, the confidence level would be low that a result reflects the census of the entire population. It indicated the difference between the actual and estimated results in a random survey sample. The margin of error is generally used in non-survey contexts to show observational error in reporting measured quantities. In order to minimize the margin of error associated with a confidence interval estimate for a population mean, the researchers can increase the sample size to capture the actual trend of the population more accurately.
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If $8259 principal is invested in a savings account that pays 5.25% interest compounded continuously how much money will be in the account after 10 years?
A(10) = $
Answers
Answer:
A(10) = $13,961.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.25/100
r = 0.0525 rate per year,
Then solve the equation for A
The formula is given as:
A = Pe^rt
P = 8259
r = 0.0525
t = 10 years.
Hence,
A = 8,259.00 × e^(0.0525×10)
A = $13,961.50
Therefore, the money that will be in the account after 10 years is $13,961.50
The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room at a four-star hotel, beverages, breakfast, taxi fares, and incidental costs. Click on the datafile logo to reference the data. City Daily Living Cost ($) City Daily Living Cost ($) Bangkok 242.87 Mexico City 212.00 Bogota 260.93 Milan 284.08 Cairo 194.19 Mumbai 139.16 Dublin 260.76 Paris 436.72 Frankfurt 355.36 Rio de Janeiro 240.87 Hong Kong 346.32 Seoul 310.41 Johannesburg 165.37 Tel Aviv 223.73 Lima 250.08 Toronto 181.25 London 326.76 Warsaw 238.20 Madrid 283.56 Washington, D.C. 250.61 a. Compute the sample mean (to 2 decimals). b. Compute the sample standard deviation (to 2 decimals). c. Compute a confidence interval for the population standard deviation (to 2 decimals).
Answers
Answer:
\(\bar x = 260.1615\)
\(\sigma = 70.69\)
The confidence interval of standard deviation is: \(53.76\) to \(103.25\)
Step-by-step explanation:
Given
\(n =20\)
See attachment for the formatted data
Solving (a): The mean
This is calculated as:
\(\bar x = \frac{\sum x}{n}\)
So, we have:
\(\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}\)
\(\bar x = \frac{5203.23}{20}\)
\(\bar x = 260.1615\)
\(\bar x = 260.16\)
Solving (b): The standard deviation
This is calculated as:
\(\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}\)
\(\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}\)\(\sigma = \sqrt{\frac{94938.80}{19}}\)
\(\sigma = \sqrt{4996.78}\)
\(\sigma = 70.69\) --- approximated
Solving (c): 95% confidence interval of standard deviation
We have:
\(c =0.95\)
So:
\(\alpha = 1 -c\)
\(\alpha = 1 -0.95\)
\(\alpha = 0.05\)
Calculate the degree of freedom (df)
\(df = n -1\)
\(df = 20 -1\)
\(df = 19\)
Determine the critical value at row \(df = 19\) and columns \(\frac{\alpha}{2}\) and \(1 -\frac{\alpha}{2}\)
So, we have:
\(X^2_{0.025} = 32.852\) ---- at \(\frac{\alpha}{2}\)
\(X^2_{0.975} = 8.907\) --- at \(1 -\frac{\alpha}{2}\)
So, the confidence interval of the standard deviation is:
\(\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }\) to \(\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }\)
\(70.69 * \sqrt{\frac{20 - 1}{32.852}\) to \(70.69 * \sqrt{\frac{20 - 1}{8.907}\)
\(70.69 * \sqrt{\frac{19}{32.852}\) to \(70.69 * \sqrt{\frac{19}{8.907}\)
\(53.76\) to \(103.25\)
Compute the z score for the applicant. Applicant's score 21.0; Mean 18.0; Standard Deviation - 3.0 O2.0 O-10 10 O-20 O None of these
Answers
To compute the z-score for the applicant, we can use the formula:
z = (x - μ) / σ
Where:
x is the applicant's score
μ is the mean
σ is the standard deviation
Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.
z = (21.0 - 18.0) / (-3.0)
z = 3.0 / -3.0
z = -1.0
Therefore, the z-score for the applicant is -1.0.
The correct option is O-10.
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Can you have a triangle with 2cm 3cm 5cm Class 7?
Answers
No , we cannot have a triangle with 2cm , 3cm and 5cm , because the sum of two sides is not greater than the other sides .
What is a Triangle ?
A triangle can be defined as the closed figure , that is made up of three line segments .
The Condition for any three sides to form a triangle : the sum of any two sides of triangle should be greater than the third side .
The sides of triangle are given to be : 2cm , 3cm and 5cm ;
on adding the two sides ,
we get ;
⇒ 2 + 3 = 5 > 5 ; False
⇒ 3 + 5 = 8 > 2 ; True
⇒ 2 + 5 = 7 > 3 ; True
All the conditions are not met ,
Therefore , the given sides cannot form a triangle .
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HELP ME ASAP YOU GET 10 POINTS
Answers
Answer:
domain 12
range 24
brainliest?
Please complete these with explanation
Answers
Answer:
minus 5
Step-by-step explanation:
I think so it might be not a correct answer
you have created a 95 confidence interval for with the result 10.15. What decision will you make if we test H0 : μ = 16 versus H1 : μ ≠ 16 at α = 0.01?a. Reject H0 in favor of H1.
b. Accept H0 in favor of H1.
c. Fail to reject H0 in favor of H1.
d. We cannot tell what our decision will be from the information given.
Answers
If we test H₀ : μ = 16 versus H₁ : μ ≠ 16 at α = 0.01, reject H₀ in favor of H₁. The correct answer is (a)
If the confidence interval for the population mean does not contain the hypothesized value in the null hypothesis, then we can reject the null hypothesis in favor of the alternative hypothesis.
In this case, the confidence interval is centered around 10.15, and it does not contain the hypothesized value of 16. Therefore, we can conclude that we have evidence to reject the null hypothesis at a significance level of 0.01 and accept the alternative hypothesis that the population mean is not equal to 16.
It is important to note that this decision is based on the confidence interval and significance level given in the question. If the confidence level or significance level were different, the decision might be different as well.
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