Mean, Median and ModeThe data set below provides the number of children for each of the 12 adults in a survey.3,2,1,1,2,2,0,1,1, 4,0,2
Answers
1) Considering these data points, let's rewrite them orderly:
0,0,1,1,1,1,2,2,2,2,3,4
2) The Mean is found by adding all of them and dividing them by the number of Data Points:
\(\bar{x}=\frac{0+0+1+1+1+1+2+2+2+2+3+4}{12}=\frac{19}{12}=1.58\)2.2) Since we have 12 data points then the Median will be the average between the 6th and the 7th data point:
\(Md=\frac{1+2}{2}=\frac{3}{2}=1.5\)Note that the 6th data point is the number 1, and the 7th is the number 2.
2.3) The Mode is/are the most repeated data point in this data set. So examining that we can write the following:
\(Mo=1,2\)Note that we have here a bimodal data set for we hav
Related Questions
What is 70000% + 8100000
Answers
Answer:
8100700
Step-by-step explanation:
I used a calculator
Could you pls mark me brainliest I only need one more
Answer:
8100700
hop i helped look at my drawing
Step-by-step explanation:
The half‑life of sodium‑ 22 is 2.6 years. If there are initially 70 grams of sodium‑ 22, find a formula that gives the amount , in grams, remaining after t years.
Answers
A formula that gives the amount is
N(t) = 70 (0.5)^t/2.6How to find a formula that gives the amountThe half life of the element is calculated from the formula
N(t) = N'(1/2)^(t/t')
where
N(t) = quantity of the substance remaining
N' = initial quantity of the substance
t = time elapsed
t' = half life of the substance
Plugging the values from the problem
N(t) = ?
N' = 70 grams
t = t
t' = 2.6 years
N(t) = 70 (0.5)^t/2.6
Learn more about half life here:
https://brainly.com/question/29580188
#SPJ1
a⃗ =⟨4, −3⟩ and b⃗ =⟨−1,−2⟩.
Represent a⃗ +b⃗ by using the head to tail method.
Use the Vector tool to draw the vectors, complete the head to tail method, and draw a⃗ +b⃗ . Do not draw any unnecessary vectors.
To use the Vector tool, select the initial point and then the terminal point.
Answers
The vector addition of vector a = < 4, - 3 > and b = < - 1, - 2 > is given by,
a + b = < 3, -5 >
The graph of the vector sum is given below.
The addition of vectors suggests the addition of the corresponding components of the involving vectors.
Given the vectors are:
a = < 4, - 3 >
b = < - 1, - 2 >
So doing vector addition we get,
a + b = < 4, - 3 > + < - 1, - 2 > = < (4 + (-1)), (-3+(-2)) > = < (4 - 1), (-3 -2) > = < 3, -5>
Head to tail method is a method to draw vector addition, where the initial point of a vector involved in vector addition is started from tail point of another vector involved in vector addition.
Using vector tool we draw the vector addition of given vectors 'a' and 'b' we get,
To know more about vector addition here
https://brainly.com/question/2927458
#SPJ1
Answer: Look at the image below
Step-by-step explanation: I took the test.
Step 1: Select Vector
Step 2: Click on (0, 0), then click on (4, -3); (for every point your going to have to click on where you start then where you want to go.)
Step 3: Click on (4, -3), then (3, -5). Why?: ((4 - 1), (-3 - 2)) = (3, -5)
Step 4: To complete the problem and thus completing the "head to tail" method, you need to click on the origin (0,0) and finally click on (3, -5)
Your answer should now look like mine, now go get that A.
-5, 20, -80, 320, ... is a geometric
sequence.
What is the explicit rule
Answers
Answer:
Multiplied by -4
Step-by-step explanation:
-5 (-4) = 20
20 (-4) = -80
-80 (-4) = 320
Identify the focus and directrix of the parabola represented by the equation (y-2)^2= 24 (x-5)
Answers
Answer: Directix= -1
Focus (11, 2)
Step-by-step explanation:
Explanation it’s 1
A boy walks 5km due north and then 4km due east. Find the bearing of his current position from the starting point, how far is the boy now from the starting point
Answers
(-37)+(-2) please tell quickly
Answers
Answer:-39
Step-by-step explanation:
The first thing is to open the bracket.
By doing that, the question becomes -37-2.
note that plus×minus=minus.
Hence,-39 as the final answer
The diameter of a circle is 3 inches. What is the area?Give the exact answer in simplest form. _____ square inches. (pi, fractions)
Answers
The radius of a circle is half the diameter.
Thus, the radius (r) is >>>
\(r=\frac{3}{2}\)The area of a circle is given by the formula,
\(A=\pi r^2\)Where
r is the radius
Substituting the radius value into the area formula, we have:
\(\begin{gathered} A=\pi r^2 \\ A=\pi(\frac{3}{2})^2 \\ A=\pi(\frac{9}{4}) \\ A=\frac{9\pi}{4} \end{gathered}\)The spinner shown is spun twice. Express your answer
as a simplified fraction.
7. Find P(the two numbers have an even sum).
8. Find P(two even numbers).
Answers
7) The probability that the two numbers have an even sum is: 0.5
8) The probability that the two are even is: 0.25
How to find the probability in a spinner?7) We want to find the probability that the two numbers have an even sum.
The only combinations that produces an even sum are:
(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)
The other combinations of numbers are:
(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)
Thus, we have a total of 16 combinations and the probability that the two numbers have an even sum is:
P(two numbers with even sum) = 8/16 = 0.5
8) The probability that the two are even is:
4/16 = 1/4
= 0.25
Read more about spinner probability at: https://brainly.com/question/3765462
#SPJ1
An 8-sided number cube is rolled 4000 times. The number 2 appeared 200 times. Determine the theoretical and experimental probability of rolling a 2 in order to determine the fairness of the number cube. Drag values or words to the boxes to correctly complete the statements.
Answers
Theoretical Probability of rolling a 2= 1/20
Experimental Probability of rolling a 2 = 1/20
Theoretical probability of rolling a 2:
The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:
Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20
Experimental probability of rolling a 2:
The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the event is rolling a 2, which occurred 200 times out of 4000 rolls.
Therefore, the experimental probability of rolling a 2 is:
Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20
Comparing theoretical and experimental probability:
If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.
For such more questions on Probability
https://brainly.com/question/251701
#SPJ8
Which of the following rational functions is graphed below?
Answers
On solving the question, we can say that second function has vertical asymptote at x=2
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found.
The function that represents the graph is f(x) = 1/x-2 .
The graph of the function
From the given graph , the vertical asymptote is at x=2
Lets find out the vertical asymptote of each function
To find out vertical asymptote we set the denominator =0
f(x) = 1/2x
2x = 0
x = 0
f(x) = 1/x-2
x-2 = 0
x = 2
The second function has vertical asymptote at x=2
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
A. SSS
B. Neither
C. SAS
#
Copyright © 2003-2023 International Academy of Science. All Rights Reserved.
These triangles
are congruent by
the triangle
congruence
postulate [? ].
Answers
The congruence theorem that justifies the congruence of the two triangles is given as follows:
A. SSS.
What is the SSS congruence theorem?
The Side-Side-Side (SSS) congruence theorem states that three sides of a triangle are equivalent to the corresponding three sides of the another triangle, then the two triangles are said to be congruent by SSS rule.
In this problem, we have that:
The | and || sides are equivalent.The bisection belongs to both triangles.Hence the triangles are congruent by the SSS postulate and the correct option is given by option A.
More can be learned about the SSS postulate at https://brainly.com/question/11671194
#SPJ1
Joseph went shopping for a new pair of pants. The listed price of the pair of pants was
$28, but the price with tax came to $30.80. Find the percent sales tax.
Answers
Answer: 10%
Step-by-step explanation:
divide 30.80 by 28 and when you get the answer multiply by 100.
After you get the answer to that subtract it by 100.
30.80/28=1.1
1.1 x 100= 110
110-100=10
hope this helps <3
Answer:
10%
Step-by-step explanation:
9 months late gang
1.The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to travel one full rotation around the sun? Show your work. Make sure to include units in your answer.
Answers
The earth travels one full rotation around the sun in approximately 365.25 days. The minutes it takes for the earth to travel one full rotation around the sun can be calculated below
\(\begin{gathered} let^{\prime}s\text{ convert days to minutes} \\ 1\text{ day = 1440 minutes} \end{gathered}\)Therefore,
\(\begin{gathered} 1\text{ day = 1440 min} \\ 365.25\text{ days = ?} \\ \text{cross multiply} \\ \text{amount in minutes = 1440}\times365.25=\text{ }525960\text{ minutes} \end{gathered}\)It will take 525960 minutes for the earth to travel one full rotation around the sun.
Find the value of y.
Answers
Answer:
y = \(\sqrt{55}\)
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(altitude)² = product of parts of hypotenuse
then
y² = 11 × 5 = 55 ( take square root of both sides )
y = \(\sqrt{55}\)
Georgia is interested in selling her company. Before seeking a buyer, she wants her income statements to show a trend of increasing gross profits.
Answers
Answer:
que esta since riheeeee
M
(
x
)
=
log
(
x
0.001
)
M
(
x
)
=
log
(
x
0.001
)
Answers
Answer:
0
Step-by-step explanation:
Consider a home mortgage of $ at a fixed APR of % for years.
a. Calculate the monthly payment.
b. Determine the total amount paid over the term of the loan.
c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.
Question content area bottom
Part 1
a. The monthly payment is $
enter your response here.
(Do not round until the final answer. Then round to the nearest cent as needed.)
Part 2
b. The total amount paid over the term of the loan is $
enter your response here.
(Round to the nearest cent as needed.)
Part 3
c. Of the total amount paid,
20% is paid toward the principal, and
enter your response here% is paid for interest.
(Round to one decimal place as needed.)
Answers
a. The monthly payment (P) is $1,687.71
b. The total amount paid over the term of the loan is $303,987.80
c. The Percentage paid toward the principal is 65.83%
The percentage paid for interest is 34.2%
What will be the monthly payments?First, we need to calculate the monthly interest rate (i)
i = APR/12 = 6%/12
i = 0.005
The number of monthly payments (n) is then determined:
n = 15 years * 12 months/year
n = 180 months
Using these values, we can now calculate the monthly payment (P) using the following formula:
P = (i * P * (1 + i)^n) / ((1 + i)^n - 1)
where;
P is the principal (the amount borrowed),i is the monthly interest rate, andn is the number of monthly payments.Plugging in the values, we get:
P = (0.005 * $200,000 * (1 + 0.005)^180) / ((1 + 0.005)^180 - 1)
P = $1,687.71
b. Total payment = monthly payment * number of payments
Total amount paid = $1,687.71 x 180
Total amount paid = $303,987.80
c. Total interest paid = $303,987.80 - $200,000 = $103,987.80
To calculate the percentage of the total amount paid that is paid toward the principal:
Percentage paid toward principal = ($200,000 / $303,987.80) x 100% = 65.83%
To calculate the percentage of the total amount paid that is paid for interest:
Percentage paid for interest = ($103,987.80 / $303,987.80) x 100% = 34.2%
Learn more about mortgage payments at: https://brainly.com/question/29245515
#SPJ1
Complete question:
Consider a home mortgage of $200,000 at a fixed APR of 6% for 15 years. a. Calculate the monthly payment.
b. Determine the total amount paid over the term of the loan.
c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest
Right triangle 10 fr and 6ft what is the area of the right triangle
Answers
Answer:
60ft is the area
Step-by-step explanation:
HAVE FUN IN UR LIFE!
Answer:
the area is 44
Step-by-step explanation:
10x2=20+12=32+12=44
Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 7x ^ 2 + 2x + 3 at x = 1
Answers
Answer:
16
Step-by-step explanation:
Step 1: Write down the function \(f(x)=7x^2+2x+3.\)
Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)
Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)
Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)
Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)
Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)
Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)
Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)
Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)
The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)
Suppose a research firm conducted a survey to determine the mean amount steady smokers spend on cigarettes during a week. Previous research indicates the population mean is $20 per week. The population standard deviation is $5. What is the probability that a sample of 100 steady smokers spend between $19 and $21
Answers
Answer:
The probability is 0.9545
Step-by-step explanation:
To find this probability, we shall use the z-score formula
Mathematically;
z-score = (x - mean)/SD/√n
where mean = 20
SD = 5
n = 100 and so √100 = 10
So for 19, we have ;
(19-20)/5/10 = 1/0.5 = -2
For 21, we have
(21-20)/5/10 = 1/0.5 = 2
So the probability we want to calculate is
P( -2 < z < 2)
we can use the standard normal distribution table for this
Using this table;
P(-2<z<2) = 0.9545
Compute the missing x and y values so that each ordered pair will satisfy the given equation y=2x+4
Answers
The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.
Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.
For example, let's say one missing value is x = 3. We can substitute this into the equation:
y = 2(3) + 4
y = 6 + 4
y = 10
So, the missing ordered pair is (3, 10).
Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:
8 = 2x + 4
4 = 2x
x = 2
So, the missing ordered pair is (2, 8).
In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
For more questions on equation
https://brainly.com/question/29174899
#SPJ8
An elevator in a tall building goes up 7 floors then down 9 floors down 4 floors up 8 floors and down 2 floors now it it in floor 14 on what floor did the elevator start
Answers
Answer: I'm pretty sure its 14.
Step-by-step explanation: 14 + 7 - 9 - 4 + 8 - 2 = 14
Use a calculator to find the trigonometric ratio. Round your answer to four decimal places
sin 98°~
Answers
Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.
How to Find the Trigonometric Ratio?One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.
Using a calculator, we can find the sine of 98 degrees as follows:
sin 98° ≈ 0.9848
Rounding this to four decimal places, we get:
sin 98° ≈ 0.9848
Therefore, sin 98° is approximately equal to 0.9848.
Learn more about trigonometric ratio on:
https://brainly.com/question/10417664
#SPJ1
Lavage Rapide is a Canadian company that owns and operates a large automatic car wash facility near Montreal. The following table provides estimates concerning the company’s costs:
Fixed Cost per Month Cost per Car Washed
Cleaning supplies $ 0.80
Electricity $ 1,400 $ 0.08
Maintenance $ 0.20
Wages and salaries $ 4,700 $ 0.40
Depreciation $ 8,000
Rent $ 2,100
Administrative expenses $ 1,400 $ 0.05
Answers
Lavage Rapide's total cost per car washed is $19.05.
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.
The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.
To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:
Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed
Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)
Total Cost per Car Washed = $18,620 + $0.45
Total Cost per Car Washed = $19.05
Therefore, Lavage Rapide's total cost per car washed is $19.05.
To know more about equation visit:
brainly.com/question/649785
#SPJ1
complete question:
Fixed Cost per Month Cost per Car Washed
Cleaning supplies $ 0.80
Electricity $ 1,400 $ 0.08
Maintenance $ 0.20
Wages and salaries $ 4,700 $ 0.40
Depreciation $ 8,000
Rent $ 2,100
Administrative expenses $ 1,400 $ 0.05
Work out the volume of the prism height of 12 4 and five
Answers
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
Read more about volume at
brainly.com/question/463363
#SPJ1
ANSWER ASAP PLS BUT ONLY IF YOUR SURE
Answers
Answer:
4/6
3/6
Step-by-step explanation:
2/3 = 4/6
1/2 = 3/6
Answer:
1/6 and 5/6
Step-by-step explanation:
All work is provided in the screenshot that is attached to my answer!
Hope this helps! :)
what is the sum of 4 and 2 raised to the third power
Answers
Answer:
216
Step-by-step explanation:
4+2=6
6^3=216
In an Olympic triathlon, athletes perform the following events:
swim 1.5 kilometers
• bike 40 kilometers
run 10 kilometers
Which statement BEST represents a rate between the swimming, biking, or running parts of the triathlon?
Answers
Answer:
12,664
Step-by-step explanation:
please help I'll give brilliantist:)
