To find the mean of 15 numbers, add up all of the numbers and then divide by 15. The result will be the mean of the 15 numbers.
1. Add up all the numbers
2. Divide the sum by 15
3. The result will be the mean of the 15 numbers
To calculate the mean of 15 numbers, begin by collecting all the values in the group. Sum up the values in the group by adding each number together. Once the sum is calculated, divide the sum by 15. This number will be the average of the 15 numbers. To check the accuracy of the answer, add up the 15 numbers again and divide the result by 15.
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Select the correct answer. A number is selected at random from the set {2, 4, 6, 8, 10}. Which event, by definition, covers the entire sample space of this experiment? A. The number is greater than 2. B. The number is not divisible by 5. C. The number is even and less than 12. D. The number is neither prime nor composite. E. The square root of the number is less than 3.
The event the number is even and less than 12 covers the entire sample space of this experiment.
What is sample space?
In probability theory, the set of all feasible outcomes or outcomes of an experiment or random trial is referred to as the sample space. The sample points, or potential ordered outcomes, are listed as elements in the set used to represent the sample space.
Given:
A number is selected at random from the set {2, 4, 6, 8, 10}.
Let's examine each instance:
A. There are more than two.
When we get number 2, this does not apply to the situation. 2 is equal to 2 and not greater, therefore.
B. The number is not divisible by 5, whereas 10 and 5 are. As a result, the sample space is not completely covered.
C. It's an even number or less than 12.
Let's note that every number from "2, 4, 6, 8, 10" is less than 12, indicating that the event's even portion has no bearing. This encompasses the whole sample area.
D. Neither the number is prime nor is it a composite.
There cannot be a number that is neither prime nor composite because they are mutually exclusive terms in mathematics. No number of the set is covered by this event.
E. The number's square root is less than 3.
This excludes the number 10, whose square root is approximately 3,16, which is greater than 3.
Hence, the event the number is even and less than 12 covers the entire sample space of this experiment.
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A color laser printer that costs $699 goes on sale for 30% off. If Matt has already saved up $325, how much more money does Matt need?
a. $374 b. $218.70 c. $164.30 d. $228
The model shown was used to find the product of two fractions: A rectangle divided into nine columns of equal size and 4 rows of equal size. The length of a column is labeled as one ninth and the width of a row is labeled as one fourth. Two columns are fully shaded in grey. The cells in three full rows are covered with dots. Which equation does the model represent? (1 point) a the equation with the fractions two ninths times three fourths is equal to six thirty sixths b the equation with the fractions one ninth times one fourth is equal to two thirty sixths c the equation with the fractions two ninths times three fourths is equal to five thirty sixths d the equation with the fractions nine ninths times four fourths is equal to twenty nine thirty sixths
The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option a
a) The equation with fractions two ninths times three fourths is equal to six thirty sixths
[tex]\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}[/tex]
What is an array (area) multiplication model?An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.
Please find attached the area model to multiply the fractions
The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;
[tex]\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}[/tex]
The equation that the model represents is therefore;
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Which of the correlation values represent a perfect linear relationship between x and y?
a. 0.5
b. 1
c. 100
d. -1
e. 0
The correlation values that represent the perfect linear relationship between x and y are = b) 1 and d) -1
Now first we need to understand what is meant by correlation,
The mutual relation or degree to which two or more quantities are mutually linear or related to each other, hence their degree or relation of correlation is qualified by correlation coefficient.
According to the question we need to find the correlation value that represents a perfect linear relationship between x and y
Since we know according to the definition of correlation, the perfect linear relationship between x and y could be represented if their magnitude is 1.
Both positive and negative values of magnitude 1 (i.e 1 and -1) are defined as the linear relationship between x and y.
Therefore, The correlation values that represent the perfect linear relationship between x and y are both 1 and -1
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The assets and liabilities of a local surf shop are listed below.
Building Mortgage $109,850
Other Debt $35,988
Accounts Receivable $10,760
Property Value $162,974
Long Term Investments $238,000
Small Business Loan $62,700
Long Term Liabilities $38,000
Owned Inventory $72,980
Cash $215,083
Savings Account $128,721
Owned Equipment $30,971
The surf shop owner receives notice that the property value has increased by $20,000. What is the net worth of the surf shop?
$859,489
$879,489
$612,951
$632,951
The net worth of the surf shop is $859,489
How to prepare a balance sheet?We know that a balance sheet is the summary of the assets and liabilities of the legal person.
The balance sheet appears thus:
Assets: $
Building mortgage 109,850
Accounts receivable 10,760
property value 182,974
Long term investment 237,000
Owned inventory 72,980
cash 215,083
Savings account 128,721
Equipment 30,971
Liabilities
Debt 35,988
Long term liability 38,000
Small business loan 62,700
Difference in assets and liabilities = $859,489
Therefore, the net worth of the surf shop is $859,489
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you exercised 24 hours each month for a year. how many hours did you exercise by the end of the year? you may be able to do the math mentally thanks t
A total of 288 hours of exercise did by the end of the year.
What is distributive property?
Distributive Property is defined as the "distribute" of anything to divide it up or to give someone a piece of it.
Exercise in one month = 24 hours
Total exercise in a year = 24*12 = 288 hours
Hence, a total of 288 hours of exercise did by the end of the year.
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How do you solve for x in a quadratic equation?
Put all terms on one side of the equal sign, leaving zero on the other side.
Factor.
Set each factor equal to zero.
Solve each of these equations.
Check by inserting your answer in the original equation.
Find the slope (rate of change) of the line.
a. 4
b. 1
c. -1
d. -4
Answer:
-4
Step-by-step explanation:
Slope is represented by:
Rise/run
So, count up from a point on the line and count across to another point on the graph.
I started from -1, counted up 4 and counted 1 across to point (-1,3)
So your slope is 4/-1, which is the same as -4
The slope of a line from the given graph is -4. Therefore, option D is the correct answer.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
From the given graph,
Rise is (-5-(-1)=-4
Run is 1
So, Slope =Rise/Run
= -4/1
= -4
The slope from the graph is -4. Therefore, option D is the correct answer.
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true or false: for a random sample of size 15 from a normal population with unknown variance, the test statistic with the null hypothesis of is , when is the sample mean.
The test statistic under the null hypothesis of is when the sample mean is for a random sample of size 15 from a normal population with unknown variance. The given statement is true.
For a random sample of size 15 from a healthy population with known variation. the statistical measure under test for the null hypothesis.
Even when the population variance is known and the sample size is modest, the Z-test can be used.
The given statement is true.
Hypothesis :
In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.
Complete question:
True or False: For a random sample of size 15 from a normal population with known variance, the test statistic with the null hypothesis of H_o: u = (i - uo)/n), when i is the sample mean.
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The bottom
part please I am really struggling
The relationship (comparison) between the measures in the specified angles found using the angle–side triangle inequality shows the following inequalities between the angles
m∠QRW < m∠RWQ
7. m∠RTW < m∠TWR
m∠RST > m∠TRS
9. m∠RWQ < m∠QRW
What is the angle–side triangle inequality?The angle–side triangle inequality indicates that in a triangles, the larger the angle of a triangle, the larger is the side opposite the angle.
Similarly, the larger the side length of a side of a triangle, the larger is the angle opposite the specified side.
Based on the angle-side triangle inequality, we get;
∠QRW is the angle opposite to the side of length 45 units, and ∠RWQ is the angle opposite the side of length 47 units.
Therefore; m∠QRW < m∠RWQ
7. In triangle ΔRTW, ∠RTW is the angle opposite to the side of length 34 units, and ∠TWR is the angle opposite the side of length 35 units.
Therefore; m∠RTW < m∠TWR
In triangle ΔRST, ∠RST is the angle opposite to the side of length 35 units, and ∠TRS is the angle opposite the side of length 22 units.
Therefore; m∠RST > m∠TRS
9. In triangle ΔQRW, ∠RWQ is the angle opposite to the 47 unit long side and ∠QRW⇔ is the angle opposite the side of length 45 units.
Therefore; m∠RWQ > m∠QRW
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Andre ran a 100-meter race in 12 seconds. What was his average speed as he ran the race?.
Answer: 8.3 m / sec
Step-by-step explanation:
Take 100 divided by 12 = 8.3 meter per second
The assets and liabilities of a doctor are listed below.
Home Value $589,674
Mortgage $99,408
Credit Card Balance $8,057
Owned Work Equipment $51,797
Car Value $61,182
Investments $59,090
Personal Loan $76,348
What is the total value of the doctor's capital assets?
$51,797
$61,182
$589,674
$702,653
Answer:
702,653
Step-by-step explanation:
but the real total added up is 945,556
PLEASE HELP 10th grade Geometry
The owner of a sandwich shop surveyed her customers on how often they came in, which sandwiches they preferred, and what quantity of sandwiches they ordered. She then added up the quantities demanded by all her consumers at each price. What did she create?.
The owner of a sandwich shop surveyed her customers on how often they came in as she also added the quantity this means that she had created marketing demand schedule.
The call for agenda indicates the variety of products customers will purchase at a given fee. An instance of this will be film ticketseconomics, a marketplace call for agenda is a tabulation of the amount of an awesome that each one customers in a marketplace will buy at a given fee. At any given fee, the corresponding cost at the call for agenda is the sum of all customers' portions demanded at that fee.
Demand schedules may be used to are expecting the quantity of cloth important primarily based totally at the fee of a product. If the call for agenda predicts that the amount demanded rises because the fee decreases, the enterprise may also want extra elements to provide extra products.
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100 POINTS HELP ME FINISH A tariff is a tax on imported goods. If the United States can sell oranges for $5, but Mexico can sell them in the United States for $3, which of the following is the most likely tariff price attached to Mexican oranges?
A. $2
B. $0
C. $1
Answer:
$2
Step-by-step explanation:
This way the US can compete with the lower Mexican prices.
Answer:
The answer is A($2)
Step-by-step explanation:
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pls help with Literal Equations
Solve for P
m=4/p-d
The value of p in the equation m = 4 / (p - d) on solving is p = (4 + md) / m.
What is equation?
An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
m = 4 / (p - d)
Multiply the denominator of the right side by the left term as shown below,
m (p - d) = 4
mp - md = 4
Add md to both sides,
mp - md + md = 4 + md
mp = 4 + md
p = (4 + md) / m
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PICTURE
Finding Cube Roots
Evaluate the expression.
100 POINTS PLEASEEEE HELP An export is a good or service sent out of a country into another country. A factory in the Philippines makes clothing to send to a vendor in Canada. Which country is exporting?
A. both
B. Canada
C. Philippines
Answer:
Option C is the correct answer.
Step-by-step explanation:
There are two terms in business
ImportExportImport:Bring (goods or services) from another country.Export:Send (goods or services) to another country.So,
In this case, Philippines is doing exporting and Canada is doing Importing.
Thus, The answer is Philippines.
Complete the statement. The polynomial function f(x) = ____. (x + 2)(x - 2)(x + ) (x + 2)(x + )(x - ) (x - 2)(x + )(x - ) (x + 2)(x - 2)(x + )(x - ).
The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3)
Describe a polynomial.
A mathematical expression that contains at least two terms with variables or integers is referred to as a polynomial. A polynomial may include several terms.
We have been given the polynomial function:
⇒ x³ + 2x² - 3x -6
Simplify the radical by breaking the radicand up into a product of known factors.
⇒ x³ + 2x² - 3x -6
Add and subtract the second term to the expression and factor by grouping.
⇒ x²(x + 2) - 3(x + 2)
⇒ (x + 2)(x² - 3)
⇒ (x + 2)(x +√3)(x-√3)
Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).
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Answer:
B) on edge
Step-by-step explanation:
PLEASE HELP ILL HIVE BRAINIEST Question 1 of 5
How many solutions does 8+ = -4+2 have?
OA. One solution
OB. Two solutions
OC. Infinitely many solutions
OD. No solutions
SUBMIT
Answer:
D) no solution
Step-by-step explanation:
since 4+2= 6 but there no solution s because 8+? might not equal the same number as 4+2
Find the component form of the resultant vector.
9) u = (-5, -2)
b =(3, 1)
Find: -u + b
Pls hurryyyyy
Answer:
the component form of the resultant vector is (-2, -1).
Step-by-step explanation:
To find the component form of the resultant vector, we need to add the corresponding components of the two input vectors. In this case, the x-component of the resultant vector is equal to the x-component of vector b minus the x-component of vector u, and the y-component of the resultant vector is equal to the y-component of vector b minus the y-component of vector u.
We can therefore write the component form of the resultant vector as follows:
-u + b = (-u_x + b_x, -u_y + b_y) = (-5 + 3, -2 + 1) = (-2, -1)
therefore, the component form of the resultant vector is (-2, -1).
help me answer this pls
Answer: 4/5
Message: If this was helpful let me know! :)
The accompanying data resulted from an experiment in which weld diameter and shear strength (in pounds) were determined for five different spot welds on steel.
Below are the data collected and the regression equation.
Strength = -941.6992 + 8.5988*Diameter
The predicted y-hat value for a diameter of 201 is 864. Interpret this predicted value.
If we choose to use a diameter of 201 for the experiment, the strength will be 786.6596.
Given, the experiment in which weld diameter and shear strength (in pounds) were measured for five distinct spot welds on steel produced the data that is included.
The gathered information and the regression equation are shown below.
Strength = -941.6992 + 8.5988×Diameter
we have to calculate the predicted y-hat value for the diameter value of 201.
Now, we are given the regression equation with the strength and diameter as the variables.
now, when we put the diameter equal to 201, the strength will be
Strength = -941.6992 + 8.5988×Diameter
Diameter = 201
Strength = -941.6992 + 8.5988×201
Strength = -941.6992 + 1,728.3588
Strength = 786.6596
So, the value of the strength be 786.6596
Consequently, the strength value when the diameter is 201 be, 786.6596.
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Annabelle records the length, in inches, of a colored pencil over time. Review the table showing her data. Time (Weeks) Length (Inches) 0 7.5 2 7.5 4 7 5 6 7 2 8 1 10 0.5 12 0.25 13 0.2 Which description best fits the regression model for the data?
Regression analysis using the logistic regression, regression model best fits the description of the data.
What is a regression model?When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method (also known as dependent and independent variables). Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables. As opposed to multivariate linear regression, which predicts numerous correlated dependent variables as opposed to a single scalar variable, this phrase is more specific.
When modeling relationships with linear predictor functions, the model's unknown parameters are inferred from the data.
The logistic regression method can be used in situations when the dependent variable is discrete. In other words, the likelihood of situations like pass/fail, true/false, 0/1, and so on that are mutually incompatible are calculated using this method. A sigmoid curve depicting the relationship between the independent variable and the target variable, which can only take on one of two values, and probability, which has a value between 0 and 1, are both present.
Regression analysis using the logistic regression regression model best fits the description of the data.
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PLEASE help its easy I'm just dum!! Find the scale factor, for more info look at picture below.
The required scale factor is 2/3 for the given figures.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
As we know scale factor is the ratio of sides in the original image and the image after transformation.
The side length of CD = 15 units
The side length of GH = 10 units
The scale factor = length of GH / length of CD
The scale factor = 10/15
The scale factor = 2/3
Therefore, the required scale factor is 2/3 for the given figures.
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on a control chart, what separates sample points indicating common causes of variation from those indicating assignable causes of variation?
The control limits help to separate common and special causes from each other.
What are control limits?Control lines are the horizontal lines drawn on the control chart. A control chart has several components. It has two control limits. They are represented by dashed lines. The lower one is called the lower control limit (LCL) and the upper one is called the upper control limit (UCL).
The control limits help us mark the highest (by UCL) and lowest (by LCL) error that is bearable. All those errors that occur between UCL and LCL are common errors/variations while the errors that occur above UCL or below LCL are the products with assignable causes variations.
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Henry walks to and from school each day. after 100 days of school, he has walked 125 miles. How many miles does Henry walk to and from school?
Answer:
1 1/4
Step-by-step explanation:
Divide 125 by 100, which gets you 1.25 (also known as 1 1/4)
Henry walked 1.25 miles each day to and from school.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Henry walks to and from school each day.
Distance travelled by Henry in 100 days = 125 miles
In order to find the distance travelled by Henry in 1 day to and from school, divide the total distance by 100.
Distance travelled in 1 day = 125 / 100 = 1.25 miles
Hence the distance Henry walk to and from school is 1.25 miles.
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Helpppppppppppppppppp
Answer:
In Jewish tradition, Abraham is called Avraham Avinu (אברהם אבינו), "our father Abraham," signifying that he is both the biological progenitor of the Jews and the father of Judaism, the first Jew.
Step-by-step explanation:
Alice graphs the relationship between x, the number of years an athlete has been playing basketball, and y, their average number of baskets per game. Her graph goes through the points (8, 8) and (4, 5). Which equation represents the graph?
Answer: (8,8)
Step-by-step explanation: because, you just need to do the math
The equation of line is y = ( 3/4 )x + 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 8 , 8 )
Let the second point be Q = Q ( 4 , 5 )
Now , the slope of the line between the two points is
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - 8 ) / ( 4 - 8 )
Slope m = -3/-4
Slope m = 3/4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 8 = 3/4 ( x - 8 )
On simplifying the equation , we get
y - 8 = ( 3/4 )x - 6
Adding 8 on both sides of the equation , we get
y = ( 3/4 )x + 2
Therefore , the value of A is y = ( 3/4 )x + 2
Hence , the equation of line is y = ( 3/4 )x + 2
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What is -9 + (-11) 4?
Answer:
PEmDas so -53Step-by-step explanation:
Answer:
-53
Step-by-step explanation:
-9 + (-44)
-9 - 44
- 53