The critical F value for a sample of 6 and 4 degrees of freedom at a .10 two-tailed significance level can be found using a F-distribution table. The exact value depends on the specific table used.
How do we compare Mark and Debbie?For the comparison between Mark and Debbie, we would need to perform an F-test for equality of variances to determine if there is more variation in Mark's data. The null hypothesis is that the variances are equal, and the alternative hypothesis is that the variance of Mark's data is greater. The test statistic would be the ratio of the larger variance to the smaller variance, with the degrees of freedom being the smaller of the two sample sizes minus 1.
A .05 significance level means that we reject the null hypothesis if the p-value is less than .05. The p-value can be found using an F-distribution table or a statistical software.
The conclusion would depend on whether the p-value is less than .05 or not.
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Lashonda has received scores of 95, 82, 89, 70, and 76 on her first five exams. Her goal is to achieve a final average of 80. What score must she receive on the last exam to realize her goal?
Possible answers
1. 86
2. 75
3. 68
4. 80
In order for Lashonda to achieve a final average of 80, she must receive a score of 86 on her last exam.
What is score?Score is a numerical value or result that is used to indicate the performance or achievement of an individual or team in a particular activity or game. A high score indicates excellence or success while a low score indicates the opposite. Score is often used to track progress and can be used to compare individuals or teams against each other. Score can also be used as a measure of progress or improvement.
To calculate her score, we add up all of her previous exam scores (95 + 82 + 89 + 70 + 76) and divide them by 6 (the number of exams taken). This gives an average of 81. We then subtract the current average (81) from her desired average (80) to arrive at the score she must receive on her last exam (86).
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Attendance for local baseball games has been increasing by an average of 10% per year for the last few years. In 2018, the average attendance was 100 people.
Predict the average number of people attending local baseball games in 2022 if this trend continues. Round to the nearest whole number.
Answer: 104
Step-by-step explanation:
100 x 1.01^4 = 104.060401
= 104 (rounded)
The average number of people attending local baseball games in 2022 when this trend continues is,
⇒ 146
What is mean by Percentage?Ratio or numbers which can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Calculate the percent of a number , We can divide the number by whole number and multiply by 100.
Given that;
Here, For the last few years, Attendance for local baseball games is increasing by an average of 10% per year.
And, In 2018, the average attendance was 100 people.
Hence, After 4 years, Average number of people attending local baseball games in 2022 when this trend continues is,
⇒ 100 (1 + 0.1)⁴
⇒ 100 × ( 1.1 )⁴
⇒ 100 × 1.46
⇒ 146
Therefore, the average number of people attending local baseball games in 2022 when this trend continues, 146.
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solve -11 ≥ x - 20. then graph the solution.
Answer:
Step-by-step explanation:
Add 20 to both sides of the equation to get
9 >= x
Here is graph
1. Make and test a conjecture about the product of two even numbers.
2. Make and test a conjecture about the product of two even numbers.
3. Make and test a conjecture about the quotient of two integers with a different sign.
(With Example)
Answer:
Conjecture: The product of two even numbers will always be even.
Example: 2 x 4 = 8 (even)
Test: 4 x 6 = 24 (even)
Conjecture: The product of two odd numbers will always be odd.
Example: 3 x 5 = 15 (odd)
Test: 7 x 9 = 63 (odd)
Conjecture: The quotient of two integers with a different sign will always be negative.
Example: -6 / 2 = -3 (negative)
Test: -8 / 4 = -2 (negative)
Step-by-step explanation:
a trader allows a discount of 15% on all the goods which all cost more than 10 naira how much discount will it's be for 60 naira
Answer:
for 60 naira with a 15% off there would be a $9 dicount
Step-by-step explanation:
60*.15=9 discount rate
Pleasee helllpp me, its a simple questionn, will give points
Fred Claims that the midpoint of AB connecting A(-2,5) and B(2,0) is (0,5). What mistake did he make?
He only (blank) the coordinates instead of finding their (blank)
The midpoint of AB connecting A(-2,5) and B(2,0) is (0, 5/2).
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Fred Claims that the midpoint of AB connecting A(-2,5) and B(2,0) is (0,5).
The midpoint is not (0, 5)
Midpoint=(-2+2/2, 5+0/2)
=(0, 5/2)
Claim has just added the coordinates of y but not finded their average.
Hence, the midpoint of AB connecting A(-2,5) and B(2,0) is (0, 5/2).
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K
Graph the equation y = |x|-2. Let x= -3, -2, -1, 0, 1, 2, and 3.
Find the following y-values. Then choose the correct graph of the equation to the right.
y
X
***
-3
The correct graph for the absolute function can be seen below and the table shows the y-values with their corresponding x-values.
x -3 -2 -1 0 1 2 3
y 1 0 -1 -2 -1 0 1
The graph of an absolute function.The graph of an absolute function looks like a V-shaped graph with its vertex of the given function y = |x| - 2 at (0,-2). From the table, we are going to determine the y-values by replacing the x-values with the equation to solve for the y-values.
Given that:
y = |x| - 2 = |-3| - 2 = 3 - 2 = 1
y = |x| - 2 = |-2| - 2 = 2 - 2 = 0
y = |x| - 2 = |-1| - 2 = 1 - 2 = -1
y = |x| - 2 = |0| - 2 = 0 - 2 = -2
y = |x| - 2 = |1| - 2 = 1 - 2 = -1
y = |x| - 2 = |2| - 2 = 2 - 2 = 0
y = |x| - 2 = |3| - 2 = 3 - 2 = 1
For each x-value, there is one y-value. The x-values represent the domain of the function while the y-value represents the range of the function.
x -3 -2 -1 0 1 2 3
y 1 0 -1 -2 -1 0 1
The graph can be seen in the image attached below.
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The following are the weights of 10 young dogs, in pounds: 7,5, 11, 8, 14, 19, 16, 15, 13, 27 Find the sample variance (round off to first decimal place).
the Sample variance is. [tex]$s^2[/tex]=41.4
Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. It is an absolute measure of dispersion and is used to check the deviation of data points with respect to the data's average.
Sample variance is used to measure the spread of the data points in a given data set around the mean. All observations of a group are known as the population. When the number of observations start increasing it becomes difficult to calculate the variance of the population. In such a situation, a certain number of observations are picked out that can be used to describe the entire group. This specific set of observations form a sample and the variance so calculated is the sample variance.
the weights of 10 dogs in pounds 7,5,11,8,14,19,16,15,13,27
Sample size, [tex]$n=10$[/tex]
Sample mean
[tex]\begin{aligned}\bar{x}=\frac{\sum x}{n} & =\frac{7+5+11+8+14+19+16+15+13+27}{10} \\& =\frac{135}{10}=13.5\end{aligned}$$[/tex]
Sample Variance
[tex]\begin{aligned}& \begin{array}{r}\text { } \\\left(s^2\right)\end{array} \frac{1}{n-1} \sum_{i=1}^n\left(x_i-\bar{x}\right)^2 \\& =\frac{1}{10-1}\left[(7-13.5)^2+(5-13.5)^2+(11-13 \cdot 5)^2+(8-13.5)^2+(14-13 \cdot 5)^2+\right. \\& (19-13 \cdot 5)^2+(16-13 \cdot 5)^2+(15-13 \cdot 5)^2+(13-13 \cdot 5)^2+(27-13.5)^2 \\& =\frac{1}{9}[42.25+72.25+6.25+30.25+0.25+30.25+6.25+2.25+ \\& 0.25+182.25 \text { ] } \\& =\frac{1}{9}[372.5] \\& =41.38888889 \approx 41.4 \\&\end{aligned}[/tex]
Therefore, the Sample variance is. [tex]$s^2[/tex]=41.4
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The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 2 inches. The height of each triangle attached to the square is 3 inches. The base of the triangle is the side of the square. What is the surface area of the solid? (5 points) a 16 square inches b 24 square inches c 28 square inches d 32 square inches
The solution is Option A.
The surface area of the square pyramid is given by S = 16 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the square pyramid be S
Now , the equation will be
The surface area of the square pyramid = surface area of square + 4 ( area of triangles )
And , the side length of square a = 2 inches
So , the area of square = a² = 4 inches²
The height of the triangle h = 3 inches
The base of the triangle = a = 2 inches
So , the area of the triangle = ( 1/2 ) x a x h
On simplifying the equation , we get
The area of the triangle = ( 1/2 ) x 2 x 3 = 3 inches²
So , the area of 4 triangles = 4 x 3 = 12 inches²
Now , The surface area of the square pyramid S = 4 inches² + 12 inches²
On simplifying the equation , we get
The surface area of the square pyramid S = 16 inches²
Hence , the surface area of pyramid is 16 inches²
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PLEASE HELPP!!’
The population of six different states as shown below drag and drop the populations from the source to the target in order of greatest to least value
The populations of states in order of greatest to least value would be:
CaliforniaFlorida New YorkWashington Massachusetts Arizona What is the population in order ?To find the populations of the state and compare them accurately, you need to convert the populations from scientific notations to standard form.
Population of Florida :
= 1. 98 x 10 ⁷
= 19, 800, 000 people
Washington :
= 7. 06 x 10 6
= 7, 060, 000 people
California:
= 3.88 x 10 ⁷
= 38, 800, 000 people
Massachusetts :
= 6. 74 x 10 ⁶
= 6, 740, 000 people
This shows that the order of the most populous states is California, Florida, New York, Washington, Massachusetts and then Arizona.
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The Ages of seven children are listed: x = 5, 5, 11, 9, 8, 5, 8.
Given the Data Set Above find sum for blank of x squared
The sum of the square of the ages is 405.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
The Ages of seven children are listed: x = 5, 5, 11, 9, 8, 5, 8.
The squared of the ages:
= 25, 25, 121, 81, 64, 25, 64
The sum of the square of the ages:
= 25 + 25 + 121 + 81 + 64 + 25 + 64
= 405
Therefore, the result is 405.
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data were collected on the number of days per week that members visit a certain fitness center. the values varied from 0 to 7, and a distribution of relative frequencies for the values was created. let the random variable xx represent the number of days per week that a member visits. the mean of xx is 3.12. which of the following statements is the best interpretation of the mean?
Let the random variable x represent the number of days per week that a member visits. The mean of x is 3.12. So the option D "The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week" is correct.
We are aware that the expected value of a random variable, also known as the random variable's mean, is the long-term average value of that variable.
Given that information was gathered on the number of days per week that members visited a particular fitness facility,
The possible values of X, which stands for the number of visits a member makes each week, are 0, 1,..., 7.
Given that the mean of X is now:
E(X) = 3.12
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The complete question is:
Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?
A. Each member visits the fitness center 3 or 4 days per week.
B. The average number of days that each member visits the fitness center is 3.12 days per week.
C. Half the members visit the finest center 3 days per week or less, and the other half visit 4 days per week or more.
D. The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week
E. For a random sample of members selected from the population, the average number of visits for the sample will be 3.12 days per week
Calculer la moyenne de la série suivante :
Valeurs 7 8 9 10 11 12 13 14 15 16 18
Effectifs 7 1 1 1 1 3 2 1 1 1 1
On donnera la réponse sous la forme d'un entier relatif ou d'un nombre décimal.
Answer:
Pour calculer la moyenne, nous devons multiplier chaque valeur par sa fréquence, additionner tous les produits, puis diviser par la fréquence totale.
Le calcul ressemblerait à ceci :
(7 * 7) + (8 * 1) + (9 * 1) + (10 * 1) + (11 * 1) + (12 * 3) + (13 * 2) + (14 * 1) + (15 * 1) + (16 * 1) + (18 * 1)
= 49 + 8 + 9 + 10 + 11 + 36 + 26 + 14 + 15 + 16 + 18
= 238
Fréquence totale = 7 + 1 + 1 + 1 + 1 + 3 + 2 + 1 + 1 + 1 + 1 = 21
Moyenne = 238/21 = 11,333
La moyenne de la série est de 11,3333.
A survey asked a random sample students if they estimated they spent nfore or less than an hour a dav on social media. What percent of the 8th graders estimated they spend less than an hour a day on social media? Round your answer to the nearest whole number percent.
61 percent of the 8th graders estimated they spend less than an hour a day on social media.
How to find the percentage?To find the percentage of 8th graders who estimated they spend less than an hour a day on social media, we need to calculate the proportion of 8th graders who answered "less" and then convert it to a percentage.
There were 12 + 19 = 31 8th graders in the sample.
Out of these 31 8th graders, 19 answered "less" and 12 answered "more".
So, the proportion of 8th graders who answered "less" is 19/31 = 0.61290323.
To convert this proportion to a percentage, multiply it by 100:
0.61290323 * 100 = 61.290323 (rounded to 2 decimal places).
Finally, rounding to the nearest whole number percent, we get:
61.290323 rounded to the nearest whole number percent = 61%
Therefore, 61% of the 8th graders estimated they spend less than an hour a day on social media.
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consider the following probability distribution: 1 2 3 4 5 0.1 0.15 0.40 0.25 0.10 find (write it up to second decimal place).
The mean value is 1.19
x p(x) x*p(x) X^2p(x)
1 0.1 0.1 0.1
2 0.15 0.3 0.6
3 0.4 1.2 3.6
4 0.25 1 4
5 0.1 0.5 2.5
Sum 1 3.1 10.8
Mean =Σx * p(x)
u=3.1
Variance=σ^2
=Σx*p(x)-u^2
=10.8-(3.1)^2 =1 .19
A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.
The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:
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Please help me with this question.
The commission amount is $15250.
What is the percentage?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the selling price of the house is $305000. The value of the commission will be calculated as:-
Commission = ( $305000 x 5% ) / 100
Commission = $15250
Therefore, the commission amount is $15250.
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In order for Carlton’s Car Dealership to make a
profit, it must mark up the dealer price of cars by
14%. After the increase, a new sedan at Carl’s Car
Dealership is marked to sell for $14,600. What is
the dealer price of the sedan?
The dealer price of the sedan is, $12,556
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
In order for Carlton’s Car Dealership to make a profit, it must mark up the dealer price of cars by 14%.
And, After the increase, a new sedan at Carl’s Car Dealership is marked to sell for $14,600.
Now, We get;
The dealer price of the sedan is,
⇒ $14,600 - 14% of 14,600
⇒ $14,600 - 14/100 × 14,600
⇒ $14,600 - 14 × $146
⇒ $14,600 - $2,044
⇒ $12,556
Thus, The dealer price of the sedan = $12,556
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Can someone please explain what a Function is to me?
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Salut/Hello!
Definition of a function: In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
To make it more simple imagine a empty box with 2 holes ( one at the top and the other at the bottom ) and you insert a ball in the top hole and it falls thru the bottom hole.
When the ball falls inside the box (function) thru the top hole it'll be called
"input ball". The inside of the box can be called "function box:"
So once the ball falls out of the box thru the bottom hole it'll be called "output box(ball)".
Example: (using the image)
1. In this diagram of a function we have the domain X = {A,B,C} and codomain Y = {1,2,3} and it's defined with the set of ordered pairs {(A, 2), (B, 1), (C, 3)} and the set range is {A,B,C}
2. In this diagram of a function we have the domain A = {1,2,3} and codomain B = {X,Y,Z} and it's defined with the set of ordered pairs {(1, Y), (2, Y), (3, Z)} and the set range is {Y,Z}
3. In this diagram, representing the set of pairs {(1,D), (2,E), (2,F)} does not define a function because 2 is the first element in more than one ordered pair, but also because 3 is not the first element of any ordered pair.
Answer:
Relation 1: Function
Relation 2: Not a function (-8 is the first element in more than one ordered pair)
Relation 3: Function (a function can contain ordered pairs that include the same value for both the domain and codomain)
Relation 4: Not a function (5 is the first element in more than one ordered pair)
I hope it was helpful! :]
your starting salary for a company is 32,750 a year. in your contract, you are to receive an annual raise of 2.5% each year. what will be your salary after 10 years?
The amount of salary after 10 years is, 304,902.5
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Your starting salary for a company is 32,750 a year.
And, In your contract, you are to receive an annual raise of 2.5% each year.
Now, The amount of salary after 10 years is,
⇒ A = 32,750 (1 + 0.25)¹⁰
⇒ A = 32,750 × (1.25)¹⁰
⇒ A = 32,750 × 9.31
⇒ A = 304,902.5
Thus, The amount of salary after 10 years = 304,902.5
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ASAP NEED HELP THANK YOU !!
a. 52 , b.80 , c 1168.5, d. 214.5 , e. 283.5 , f. 175.5 , g. 476 lies between said questions.
Explain How ?The average of all the numbers in each range is:
a. The average of the numbers between 44 and 60 is (44 + 60) / 2 = 52
b. The average of the numbers between 70 and 90 is (70 + 90) / 2 = 80
c. The average of the numbers between 110 and 2227 is (110 + 2227) / 2 = 1168.5
d. The average of the numbers between 22 and 407 is (22 + 407) / 2 = 214.5
e. The average of the numbers between 60 and 507 is (60 + 507) / 2 = 283.5
f. The average of the numbers between 24 and 327 is (24 + 327) / 2 = 175.5
g. The average of the numbers between 400 and 552 is (400 + 552) / 2 = 476
What are averages ?The average, also known as the mean, is a statistical measure that represents the central tendency of a set of numerical data. It is calculated by summing all the values in a data set and dividing by the number of values in the set. The result is a single value that gives a general idea of what a typical value in the set might be. The average is an important tool for summarizing and analyzing data, and can be used to make comparisons and draw conclusions about a data set.
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What is the difference between the tallest height of 4 2/4 and the shortest height of 4 1/4? Explain.
The difference difference between the tallest height of 4 2/4 and the shortest height of 4 1/4 is of:
1/4.
How to obtain the difference between the heights?The heights are given as follows:
Tallest height: 4 and 2/4 -> as a fraction: (4 x 4 + 2)/4 = 18/4.Shortest height: 4 and 1/4 -> as a fraction: (4 x 4 + 1)/4 = 17/4.The difference between these heights is given by the subtraction of the tallest height by the shortest height, hence:
18/4 - 17/4 = 1/4.
The fractions have the same denominator, hence we just subtract the numerators.
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Do you have enough information to show that AKIM = ANLM? If so, explain why they are congruent. If not, what information do you need?
Triangles KLM and NLM are said to be congruent are they are identical with the same measurement of angles and edges.
What is a congruent triangle?A congruent triangle is the triangle that equal sides and angles when measured. That is to say the two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
The side are equal= KM = MN; KL = NL
The angles are equal= < LKM = <LNM
Therefore, from the diagram given above concerning the triangles, they are both congruent.
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Given P(–2, –7) and Q(3, 5), find the component form of the vector v from P to Q. v = LeftAngleBracket
Answer:
(-1 )
(-2 )
Here I can't merge the two brackets but you need to
Step-by-step explanation:
(-2+3) (-7+5) = (-1 -2) but it should be vertical and not horizontal
Answer:
v=<5,12>
Step-by-step explanation:
dot product warmup edge
what is the equation that models blood alcohol percent as a function of x where x is the number of drinks, when the rate of change is 0.01%
Answer:
Blood Alcohol Percent = 0.01x
It took a motorboat 1 hour longer to travel 63 miles against the current than travel the same distance with the current. The speed of the current is 2 mph. What is the speed of the motorboat in still water?
Answer:
Step-by-step explanation:
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 red?
helppp
The probability of getting exactly 1 red is 60/121
What is probability?Probability theory, a branch of mathematics concerned with the analysis of random phenomena.
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the color is noted and then it is replaced. Another marble is taken at random.
It is required to find the probability of getting exactly one red marble.
Now, the red marble can occur on the first draw or the second draw.
The probability of getting exactly 1 red marble from the first draw will be,
P(1) = 6/11 x 5/11
p(1) = 30/121
The probability of getting exactly 1 red marble from the second draw will be,
P(2) = 6/11 x 5/11
p(2) = 30/121
So, the total probability of the event will be,
P = P(1) + P(2)
P = 30/121 + 30/121
P = 60/121
hence, the probability of getting exactly 1 red is 60/121
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 Which number is irrational?
d
-3/4
3.898989..
V81
2T
7
The correct option is B. So 3.898989.. is a irrational number.
What do you understand by irrational number?In mathematics, all real numbers that are not rational are referred to as irrational numbers (from the in- prefix assimilate to ir- (negative prefix, privative) + rational). In other words, it is impossible to describe an irrational number as the ratio of two integers. When there is an irrational relationship between the lengths of two line segments, the line segments are also said to be incommensurable. This means that there is no length, no matter how short, that could be used to express the lengths of the two supplied segments as integer multiples of itself.
In short, an irrational number is a real number that cannot be expressed as a fraction or ratio of two integers. Examples of irrational numbers include pi (3.14159), the square root of 2 (1.41421356237...), and e (2.718281828459045...).
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After measuring a set of individuals, a researcher finds that Bob’s score is three time greater than janes score. These measurements must come from an ___ scale.
After measuring a set of individuals, a researcher finds that Bob’s score is three time greater than janes score. These measurements must come from a ratio scale. Therefore, the correct answer option is: C. ratio.
What are the scales of measurement?Generally speaking, there are four (4) basic scale of measurement for a variable and these include the following;
Interval scaleRatio scaleOrdinal scaleNominal scaleWhat is a ratio scale?In Mathematics, a ratio scale can be defined as a quantitative scale of measurement where there is a true zero or origin characteristic. Additionally, there are equal intervals between neighboring data points on a ratio scale such as a score that is three time greater than another score.
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Complete Question:
After measuring a set of individuals, a researcher finds that Bob's score is three times greater than Jane's score. These measurements must come from a(n) ____ scale
a. nominal b. interval C. ratio O d.ordinal
12
Solve for x.
2x
9 X+4
x = [? ]
will give brainliest
!!
Answer:
8
Step-by-step explanation:
Here, according to Basic Proportionality Theorem,
[tex] \frac{x + 4}{2x} = \frac{9}{12} \\ = > 12(x + 4) = 9 \times 2x \\ = > 12x + 48 = 18x \\ = > 6x = 48 \\ = > x = 8[/tex]
Hope it helps.
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need help this is not a test
Answer:
Step-by-step explanation:
its a trick question put the first three in order.
