The (D) mode is the appropriate measure of central tendency for a nominal scale, and variation must be assessed by looking at how responses are distributed among the different response categories.
What is the mode?A set of data values' mode is the value that appears the most frequently.
The value of X at which the probability mass function reaches its highest value is known as the mode if X is a discrete random variable.
In other words, it is the value that will be sampled most frequently.
The proper measure of central tendency for a nominal scale is the mode, and variation must be evaluated by examining the distribution of responses among the various response categories.
When every observed value occurs exactly once in a data collection, there is no mode.
Therefore, the (D) mode is the appropriate measure of central tendency for a nominal scale, and variation must be assessed by looking at how responses are distributed among the different response categories.
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Complete question:
With a nominal scale, the ___ is the appropriate measure of central tendency, and variation must be assessed by looking at the distribution of responses across the various response categories.
a. variable
b. mean
c. median
d. mode
what is the sample standard deviation of the following numbers? 4, 9, 5, 8, 7
Therefore, the sample standard deviation of the given numbers 4, 9, 5, 8, 7 is approximately 2.07.
To find the sample standard deviation of a set of numbers, we can use the following steps:
Calculate the mean (average) of the numbers: (4 + 9 + 5 + 8 + 7) / 5 = 33 / 5 = 6.6
Subtract the mean from each number and square the result:
(4 - 6.6)^2 = (-2.6)^2 = 6.76
(9 - 6.6)^2 = (2.4)^2 = 5.76
(5 - 6.6)^2 = (-1.6)^2 = 2.56
(8 - 6.6)^2 = (1.4)^2 = 1.96
(7 - 6.6)^2 = (0.4)^2 = 0.16
Calculate the sum of the squared differences: 6.76 + 5.76 + 2.56 + 1.96 + 0.16 = 17.2
Divide the sum of squared differences by (n - 1), where n is the number of data points: 17.2 / (5 - 1) = 4.3
Take the square root of the result to get the sample standard deviation: √4.3 ≈ 2.07
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1440 tons of grain where brought to a silo over two days. On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in. How many tons where delivered on the first day
Answer:
1152 tons of grains
Step-by-step explanation:
We are told in the above question:
Total number of grains = 1440 tons of grain
On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.
Hence,
The number of grains brought in during the first day = 80% × 1440 tons
= 80/100 × 1440 tons
= 1152 tons of grains
5 boys were to carry a load of 2½kg. They shared the load equally. What is the weight of load carried by each boy?
Answer:
1/2 or 0.5 kg
Step-by-step explanation:
This is a division problem.
See attached.
Answer:
0.5 or 1/2
Step-by-step explanation:
rhe total load is 2.5. so when we divide it by 5 we get 0.5 or 1/2
therefore each boy carry 0.5 weight of load
A bag contains 30 ping-pong balls, each with a different number written on it from 1 to 30. What is the probability of selecting a ball with a number that is less than 13?
Answer:
...
Step-by-step explanation:
Answer:
so you have a 40% chance or 2/5 chance
Step-by-step explanation:
30 numbers in total
12 are less than 13
so you have a 12/30
simplify
2/5 = 0.4 or 40%
answerrrrrr plssss ill giveee brainliesttttt
\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)
Point S is on line segment RT.Given RT = 3x , RS = 3x - 5 and ST = 3x -1 determine the numerical length of RT
Answer:6
Step-by-step explanation:
1) Which situation could the integer -50 represent?
A) An increase of $50 in a bank account
B) The temperature on a warm fall day
C) The distance driven on the way to the beach
D) A decrease of 50 employees
The plastic arrow on a spinner for a child's game stops rotating to point at a color that will determine what happens next. Are the given probability assignments possible? Red yellow green blue
a) 0.25 0.25 0.25 0.25
b) 0.4 0.3 0.2 0.5
c) 0.4 0.3 1.2 -1.9
d) 0 1 0 0
e) 0.5 0.1 0.3 0.1
Select all of the probability assignments that are possible 1. a
2. e 3. b 4. c 5. d 6. None of the probability assignments are possible.
The possible probability assignments are a) 0.25 0.25 0.25 0.25 and e) 0.5 0.1 0.3 0.1.
To be possible probability assignments, the probabilities assigned to each color must be non-negative and add up to 1.
a) 0.25 0.25 0.25 0.25: These probabilities add up to 1 and are all non-negative, so they are possible.
b) 0.4 0.3 0.2 0.5: The probabilities do not add up to 1, so this is not possible.
c) 0.4 0.3 1.2 -1.9: The probabilities are not all non-negative and do not add up to 1, so this is not possible.
d) 0 1 0 0: Only one color has a non-zero probability, so this is not possible.
e) 0.5 0.1 0.3 0.1: These probabilities add up to 1 and are all non-negative, so they are possible.
Therefore, the possible probability assignments are a) and e).
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I need help!!
Solve the equation. Give the exact solution and an approximate solution to three decimal places.
5^(7x) = 60
Answer:
0.363
Step-by-step explanation:
5^7x=60
x= ln(60)/7ln(5)
x= 0.363
help? please tables
The given table is formed we just have to multiply the animals by employees number assigned for elephants and tiger and then ordered pair is identified.
In the given question it is mentioned that there are 2 employees for every tiger. We have to find ordered pair.
Tiger Exhibit
Animals x Employees y (x , y )
1 1*2=2 (1 , 2 )
2 2*2=4 (2 , 4)
3 3*2=6 (3 , 6)
4 4*2=8 (4 ,8)
There are 4 employees for every elephant.
Elephant Exhibit
Animals x Employees y (x , y)
1 1*4=4 (1,4)
2 2*4=8 (2,8)
3 3*4=12 (3,12)
4 4*4=16 (4,16)
Hence the table is formed.
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rectangle m is similar to rectangle n. which scale factor was used to dilate rectangle M rectangle n
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
and this ratio is called the scale factor
so
In this problem
scale factor =12/18
Simplify
=6/9
=2/3
therefore
the answer is option C
Albert deposits $2785 in an account that earns 3.9% interest compounded monthly. this function models the amount in the account after t years.
a = 2785 (1 + )"
true
o false
The amount for the given data is found as,\(\rm a = 2825(1+\frac{3.9}{12} )^{12t}\).The given expression is true.
What is the amount?The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P is the annual payment=2827
r is the rate of interest = 3.9%
n is the time period=12
The formula for the amount is found as;
\(\rm a = p(1+\frac{r}{n} )^{nt}\)
Substitute the given value;
\(\rm a = 2825(1+\frac{3.9}{12} )^{12t}\)
Hence the given expression is true.
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I need help on this please
Answer:
12√3
Step-by-step explanation:
sin 60° = 18/h
h = 18/sin 60°
h = 12√3
Determine whether the numerical value is a parameter or a statistic explain your reasoning In a survey of a sample of high school students 43% said that their mothers had taught them the most about managing money.
what do the numbers on a centimeter ruler represent
The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.
What is a unit?
Units are the instruments used to measure and compare various things. When all measuring units are the same, comparison is simple. Various units can be categorised based on their intended usage. A couple of the units are classed as follows:
The seven SI basic units (The International System of Units (SI), sometimes known as the metric system, is the international measurement standard) are as follows:
Length - meter (m)
Time - second (s)
Amount of substance - mole (mole)
Electric current - ampere (A)
Temperature - kelvin (K)
Luminous intensity - candela (cd)
Mass - kilogram (kg)
Now,
As we have seen in a ruler from any two numbers 1 and 2 or 4 and 5
there are always 10 vertical lines which represents a millimeter
and 10 lines means 10 millimeter.
hence,
The numbers on a centimeter ruler represent that There are 10 millimeters unit for each centimeter.
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Find the value of x. Round the length to the nearest tenth.
33 cm
4.1 cm
4.4 cm
11.3 cm
Answer:
4.4 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 20 = x/12
12 tan 20 = x
4.367642811=x
Rounding to the nearest tenth
4.4 =x
Answer:
4.4 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 20°
Opposite Leg = x
Adjacent Leg = 12 cm
Step 2: Solve for x
Substitute in variables [Tangent]: \(\displaystyle tan(20^\circ) = \frac{x}{12}\)[Multiplication Property of Equality] Multiply 12 on both sides: \(\displaystyle 12tan(20^\circ) = x\)Rewrite: \(\displaystyle x = 12tan(20^\circ)\)Evaluate: \(\displaystyle x = 4.36764\)Round: \(\displaystyle x = 4.4\)At Clark City Zoo, a zookeeper divides 6 bananas equally among
3 chimpanzees. What is the unit rate of bananas to chimpanzees
NEED ANSWER NOW PLZZ
Answer:
6÷3
=2
So each chimpanzee Will get 2 bananas
0.3x
1
+0.1x
2
≤2.7→0.3x
1
+0.1x
2
≤1.8 Work through the simplex method step by step. How the solution changes (i.e., LP has optimal solutions or LP is unbounded or is infeasible)? Why?
The solution to the linear programming problem 0.3x₁ + 0.1x₂ ≤ 1.8 using the simplex method shows that the problem has optimal solutions.)
Convert the inequality into an equation by subtracting 1.8 from both sides:
0.3x₁ + 0.1x₂ - 1.8 ≤ 0
Introduce slack variables to convert the inequality into an equation:
0.3x₁ + 0.1x₂ + s₁ = 1.8
Set up the initial simplex tableau:
┌───┬───┬───┬───┬───┐
│ │ x₁ │ x₂ │ s₁ │ 1│
├───┼───┼───┼───┼───┤
│ 1│ 0.3│ 0.1│ 1 │1.8│
└───┴───┴───┴───┴───┘
```
Select the pivot column. Choose the column with the most negative coefficient in the bottom row. In this case, it is the second column (x₂).
Select the pivot row. Divide the numbers in the rightmost column (1.8) by the corresponding numbers in the pivot column (0.1) and choose the smallest positive ratio. In this case, the smallest positive ratio is 1.8/0.1 = 18. So the pivot row is the first row.
The simplex method is an iterative procedure that systematically improves the solution to a linear programming problem. It starts with an initial feasible solution and continues to find a better feasible solution until an optimal solution is obtained. In each iteration, the simplex method selects a pivot column and a pivot row to perform row operations, which transform the current tableau into a new tableau with improved objective function values. The process continues until the objective function values cannot be further improved or the linear programming problem is unbounded.
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The correct answer is
0.3x1+0.1x2≤2.7→0.3x1+0.1x2≤1.8 Work Through The Simplex Method Step By Step. How The Solution Changes (I.E., LP Has Optimal
Andre wants to solve the equation 5x^2-4x-18=20. He uses a graphing calculator to graph 5x^2-4x-18 and y=20 and finds that the graphs cross at the points (-2.39,20) and (3.19,20).
a. Substitute the x-value of (-2.39,20) into the expression 5x^2-4x-18. Then evaluate the expression.
Round your answer to the nearest ten thousandth.
To find the solution to the equation 5x^2-4x-18=20 using the given information, we need to substitute the x-value of (-2.39,20) into the expression 5x^2-4x-18 and evaluate it.
We know that the point (-2.39,20) lies on the graph of the equation 5x^2-4x-18=20. This means that when we substitute x=-2.39 into the equation, we should get a value of 20.
Substituting x=-2.39 into the expression 5x^2-4x-18, we get:
5(-2.39)^2 - 4(-2.39) - 18
Simplifying this expression, we get:
5(5.7121) + 9.56 - 18
= 28.5605 - 8.44
= 20.1205
So, when x=-2.39, the expression 5x^2-4x-18 evaluates to 20.
We were asked to round our answer to the nearest ten thousandth. The value we obtained for 5x^2-4x-18 when x=-2.39 is 20.1205. Rounding this to the nearest ten thousandth gives: 20.1205 rounded to the nearest ten thousandth = 20.1205 (since the digit in the fifth decimal place is less than 5)
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From 1987 to 2009, the number
B
of federally insured banks could be approximated by
B
(
t
)
=
−
327.4
t
+
13715
where t is the year and t=0 corresponds to 1987.
Answer:
12100
Step-by-step explanation:
If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985
In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990
The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;
B ( t ) = − 329.4 t + 13747
B(5) = -329.4(5) + 13747
B(5) = -1647+13747
B(5) = 12100
This shows that there will be 12100 federally insured banks are there in the year 1990.
2.6 m wide. What's the area of a
single panel?
Answer: Area = l × w
= 1 × 2.6
= 2.6 feet2
Step-by-step explanation:
LOOK IVE SAID IT A BUNCHA TIMES, ILL MARK BRIANLEST JUST HALP ME
Answer:
my guess would be 3.52
Step-by-step explanation:
Answer:
I do not know the answer i just wanna try because I know how you feel, people take forever to find the unasked questions:(:.
Step-by-step explanation:
I think you have to multiply 4.2 by 2, then do the same to the long sides. Once you have that answer divide or multiply by 84
Sorry if this did not help i am only in 8th grade so I tried, good luck on your assignment.
If the quadratic formula is used to find
the roots of the equation 2x² - 5x - 12
= 0, then what are the correct roots?
The two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.
What is defined as the quadratic formula?A quadratic equation is just a polynomial with a second degree first term. There are several methods for determining the roots, or solutions, of such a quadratic equation. Every quadratic equation has two solutions, that might or might not be real numbers. The quadratic formula is a simple method for resolving a quadratic equation. whether the answer is a whole number, an irrational number, or perhaps an imaginary numberIf the quadratic equation is ax² + bx + c = 0.
Then, the roots are given by x = [-b ± √(b² - 4ac)]/2a.
The quadratic equation is given as; 2x² - 5x - 12 = 0.
On comparing with the standard form;
a = 2b = -5c = -12Put the values in the formula,
x = [-b ± √(b² - 4ac)]/2a.
x = [-(-5) ± √((-5)² - 4×2×(-12))] / 2×2
On simplification,
x = [5 ± 11]/4
There will be two roots of equation,
a; x = [5 + 11]/4
x = 16/4 = 4
b ; x = [5 - 11]/4
x = 6/4 = 1.5
Thus, the two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.
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Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
find the volume. show work
ima just give all my points away.
P.S
I don't like you brainly.
Answer:
interesting
Step-by-step explanation:
Answer:
thx!
Step-by-step explanation:
Develop a POQ solution and calculate total relevant costs for the data in the following table.
Period 1 2 3 4 5 6 7 8 9 10 11 12
Gross requirements 30 40 30 70 20 10 80 50
fill in the table and calculate total costs.
*Holding cost =$ 3.50 / unit/week; setup cost =$ 200 ; lead time =1 week; beginning inventory =40 . a lot-for-lot solution (enter your responses as whole numbers).
Using the information provided in the table, The total holding cost is $547.50, the total setup cost is $600 and the total cost is $1,147.50.
How to calculate the total costTo develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.
The missing values can be found on the attached table.
From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.
Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.
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Consider the function represented by the graph. What is the domain of this function?
A. {x|x=>0}
B. {x|x<=8}
C. {x|0<=x<=8}
D. {x|x<=0x=>8}
Answer:
I think it is B but i'm not 100% sure.
Step-by-step explanation:
q = 3s + 4t
make s the subject pls I will mark brainliest to the answer
Answer:
q=3s+4t
q-4t=3s
(q-4t)/3=s
Step-by-step explanation:
Which of the following criteria are used when deciding upon the
inclusion of a variable? Check all that apply.
Group of answer choices
A-Theory
B-t-statistic
C-Bias
D-Adjusted R^2
the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.
When deciding upon the inclusion of a variable, the following criteria are commonly used:
A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.
B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.
C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.
D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.
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