The following is a distribution of measurements for a continuous variable. Find both the discrete and continuous median that divides the distribution exactly in half. Scores: 1, 2, 2, 3, 4, 4, 4, 4, 4, 5
Answers
The discrete median of the given distribution is 3, and the continuous median is between 3 and 4.
The discrete median, we arrange the scores in ascending order: 1, 2, 2, 3, 4, 4, 4, 4, 4, 5. Since there are 10 scores, the middle score is the 5th score, which is 3. Therefore, the discrete median is 3.
For the continuous median, we can calculate the median by considering the middle two values in the ordered set of scores. The ordered set is 1, 2, 2, 3, 4, 4, 4, 4, 4, 5. The middle two values are the 5th and 6th scores, which are 4 and 4. To find the continuous median, we take the average of these two values. So, the continuous median is (4 + 4) / 2 = 4.
Learn more about median : brainly.com/question/300591
#SPJ11
Related Questions
A copy machine averages 210 copies in 5 minutes at the same rate how many copies can machine making 12 minutes
Answers
Answer:
504 Copies.
Explanation:
First you do 210 copies ÷ 5 minutes to tell you how many copies it will make per minute, that gives you 42 Copies per minute. Now lastly, you need to find how many it makes in 12 minutes. So if it does 42 Copies in one minute multiply 42 by 12 because there are 42 copies in one minute and you need to find how many it will make in 12 minutes so your answer is 42.
Fast!!!!
I’ll give brainiest
Answers
Answer:
A) Collinear
Step-by-step explanation:
Points that are on the same line are called collinear points. A line is defined by two points and is written as shown below with an arrowhead. Two lines that meet in a point are called intersecting lines.
Please help!!! Urgent for homework
Answers
Answer: 7 and 8
Step-by-step explanation:
Square root and squared cancel out
Answer:
a=7
b=32
Step-by-step explanation:
The first one (a) is 7 because if you square a square root, you get the number inside the root. Also, technically a square root has an exponent of (1/2) so when you have a power-to-a-power (power rule of exponents) you multiply the exponents. So (\(7^{1/2}\))^2 is 7.
For (b) you have to take it in two parts. Square the square root and you get 2. Square the 4 in front, you get 16. Multiply those two numbers (16 and 2) together and you get 32.
Edit: Check on your calculator, you get the same answers I got! :)
PLZZZ HELPPPP ILL MARK BRAINLIEST TO FIRST AND CORRECT ANSWER THAT HAS WORK AND A THX TO SECOND AND CORRECT ANSWER.
What is twice the sum of -1 1/2 and 0.04
A. -2.92
B. -1.2
C. -1.5
D. -2.5
Answers
0.04=0.04
-1.5+0.04=-1.46
-1.46*2=-2.92
A
To get this answer you add the numbers to find the sum. When you get the sum, multiply it by 2. You will get -2.92
You invest $2500 in an account to save for
college. Account 1 pays 6% annual interest
compounded quarterly. Account 2 pays 4%
annual interest compounded continuously.
Which account should you choose to
obtain the greater amount in 10 years?
Justify your answer. Round any answers to
the nearest whole dollar.
You should choose account 2 because
account 1 will have a balance of about $
after 10 years and account 2 will have
a balance of about $
after 10 years.
Answers
You should choose account 2 because account 1 will have a balance of about $4001 after 10 years, while account 2 will have a balance of about $4121 after 10 years.
Account 1 earns 6% annual interest compounded quarterly. To calculate the balance after 10 years, we use the formula A = P(1 + r/n)^(nt), where A is the final balance, P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years. Plugging in the values, we get A = 2500(1 + 0.06/4)^(4*10) ≈ $4001.
Account 2 earns 4% annual interest compounded continuously. The formula for continuous compounding is A = Pe^(rt), where e is Euler's number. Plugging in the values, we get A = 2500e^(0.04*10) ≈ $4121.
Therefore, account 2 will have a greater balance after 10 years.
Learn more about interest compounded continuously here:
https://brainly.com/question/30761870
#SPJ11
in a probability experiment, eric flipped a coin 36 times. the coin landed on heads 24 times. what is the ratio of heads to tails in this experiment?
Answers
The ratio of heads to tails in the probability test is 2:1 or (D) 2/1.
What is the ratio?A ratio is a relationship or comparison between two numbers belonging to the same unit in order to determine how much larger one number is than the other.
For instance, if a test result is 7 out of 10, the ratio of the number of points earned to the total number of points is 7:10.
So, we know that the coin is flipped 36 times in the probability test:
Head = 24
Tails = 36 - 24 = 12
The ratio of heads to Tails:
Heads:Tails
24:12
24/12
2/1
2:1
Therefore, the ratio of heads to tails in the probability test is 2:1 or (D) 2/1.
Know more about the ratio here:
https://brainly.com/question/28896354
#SPJ4
Complete question:
In a probability, experiment Eric flip a coin 36 times. The coin landed on the head 24 times. What is the ratio of heads to tails in this experiment?
A.3/2
B.1/2
C.2/3
D.2/1
If 12 50.7 Fl. Oz. bottles cost $84 how much does one bottle cost?
Answers
Answer:
$7
Step-by-step explanation:
84/12=7 each bottle is $7
Find the indicated side of the
right triangle.
45°
6
45°
1
x
X = ?1
Answers
The value of x is 6
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"In a right triangle \(a^{2} +b^{2}= c^{2}\) where c is the hypotenuse and a, b are other two sides of the right triangle."
What is sine angle?"In a right triangle, sine of angle is the ratio of the opposite side of angle to the hypotenuse."
For given question,
For given right triangle, first we find the sine of angle 45° whose opposite side is 6 units.
\(\Rightarrow sin(45)=\frac{6}{y}\\\\\Rightarrow \frac{1}{\sqrt{2} }=\frac{6}{y} \\\\\Rightarrow y=6\sqrt{2}\)
Now, using Pythagoras theorem we find the value of x
\(\Rightarrow x^{2} + 6^2=y^2\\\\\Rightarrow x^{2} + 36 = (6\sqrt{2} )^2\\\\\Rightarrow x^{2} + 36 = 36\times 2\\\\\Rightarrow x^{2} +36=72\\\\\Rightarrow x^{2} = 72-36\\\\\Rightarrow x^{2} = 36\\\\\Rightarrow x = 6\)
Therefore, the value of x is 6
Learn more about the sine angle here:
brainly.com/question/13256520
#SPJ2
in 1952, when the federal communications commission lifted its ban on new television stations, there were(a) 105 stations and 15 million households with television sets, but by(b) 1956 the number of stations had grown(c) to almost 500 and the number of households with sets at nearly(d) 35 million. no error(e) *
Answers
in 1952, when the federal communications commission lifted its ban on new television stations, there were 105 stations and 15 million households with television sets.
Here we need to complete the sentence in 1952, when the federal communications commission lifted its ban on new television stations, there were.
In this given question, the correct option is (A).
And the error in the sentence occurs at (A), here there is an improper idiom.
Basically the coordinating conjunction "and" requires parallel grammatical structures on either side of it, so the phrase "at nearly 35 million" should be "to nearly 35 million," to be parallel with the phrase that precedes "and" ("to almost 500").
Now, the corrected sentence is written as In 1952, when the Federal Communications Commission lifted its ban on new television station licenses, there were 105 stations and 15 million households with television sets, but by 1956 the number of stations had grown to almost 500 and the number of households with sets to nearly 35 million
To know more about numbers here.
https://brainly.com/question/13425491
#SPJ4
johanna balanced a triangle flat on her finger tip. what point of the triangle must johanna be touching?
Answers
If the triangle is not precisely symmetrical, or if Johanna's fingertip is not exactly at the centroid, she may be touching another point on the triangle, allowing her to balance it.
What precisely is a triangle?A triangle is a closed, two-dimensional geometric shape made up of three line segments known as sides that intersect at three points known as vertices. Triangles are differentiated by thier sides and angles. Triangles can be collinear (all sides equal), rotationally symmetric, or scalene dependent on their sides. Triangles are classed as keen (all angles less than 90 degrees), correct (all angle equal to 90 degrees), or indifferent (all angles greater than 90 degrees). The area of a triangle may be determined by applying the equation A = (1/2)bh, where A is just the area, b seems to be the right triangle base, and h is the triangle's height.
If the triangle is a flat, two-dimensional object, Johanna must be touching the place where the triangle's centre of mass connects with its plane. This is known as the triangle's centroid, and it is positioned at the intersection of the triangle's medians.
If Johanna can balance the triangle exactly on her fingertip, she is most likely touching the triangle's centroid. If the triangle is not precisely symmetrical, or if Johanna's fingertip is not exactly at the centroid, she may be touching another point on the triangle, allowing her to balance it.
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
a kite 100 ft 100 ft above the ground moves horizontally at a speed of 8 ft/s 8 ft/s . at what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft 200 ft of string have been let out? rad/s rad/s
Answers
The angle between string and horizontal decreases at the rate of 0.02 rad/sec
A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s.
The horizontal decreasing when 200 ft of string have been let out.
We have to find out at what rate is the angle changing means \($\frac{\mathrm{d} \theta}{\mathrm{dt}}$\)
Given, \($$\frac{\mathrm{dx}}{\mathrm{dt}}=8$$\)
from figure\($\therefore \tan \theta=\frac{100}{\mathrm{x}}$, and $\sec \theta=\frac{200}{\mathrm{x}}$\)
Differentiating w.r.tt, we get
\($$\begin{aligned}& \sec ^2 \theta \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{100}{\mathrm{x}^2} \frac{\mathrm{dx}}{\mathrm{dt}} \\& \left(\frac{200}{\mathrm{x}}\right)^2 \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{100}{\mathrm{x}^2} \frac{\mathrm{dx}}{\mathrm{dt}} \\& \frac{40,000}{\mathrm{x}^2} \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{100}{\mathrm{x}^2} \times 8 \\& \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{800}{40,000} \\& =-0.02\end{aligned}$$\)
Therefore, the the angle (in radians) between the string and the horizontal is \(-0.02\).
For such more questions about Angle
https://brainly.com/question/29272827
#SPJ4
Please help me picture attached
Answers
Answer: \(370.08 m^2\)
Step-by-step explanation: Lets do the easy part first. We see that there is a proven square in the center of the figure with side lengths of 12. The area formula is \(l*w\) and since its a sqaure we can just multiply a side length by itself.
\(12*12 = 144\)
^^ Thats the area of the square.
We now have to do the more difficult part which is finding the area of the semi circles. I combined the semi circles to form 2 circles with diameter 12. Now we know that the area of a circle is \(\pi r^2\) and that the diameter is \(2r\) so we just divide 12 by 2 to get the radius which is 6. Now we use the area formula and multiply it by 2 because there are 2 circles.
\(A = 2(3.14)(6^2)\)
which is
\(226.08\)
Now add it to the area of the square to get the area of the figure.
\(226.08+144 = 370.08\)
put units and thats it!
Determine the effective tax rate for a taxable income of $95.600. Round the final answer to the nearest hundredth.
O 17.00%
O 17.61%
O22.70%
O24.00%
Answers
024.00% is the effective tax rate .
What is the meant by effective tax rate?The percentage of income that a person or a business pays in taxes is known as the effective tax rate. The average tax rate that is applied to both earned and unearned income, such as stock dividends, is known as the effective tax rate for individuals.
An income tax is a charge levied against people or organizations in relation to the income or profits they make. In most cases, income tax is calculated as the sum of the tax rate and the amount of taxable income. The type of taxpayer and the type of income are two factors that can affect the tax rate. Individuals (or family units) and corporations are subject to income taxes. The basis for calculating individual income tax is the income received. Since the burden is presumably on the individuals who pay it, it is typically categorized as a direct tax. Income taxes are assessed against both businesses and people based on their profits. Taxable income can be earned from a variety of sources, including earnings, salaries, dividends, interest, royalties, and rent.
To know more about tax rate ,visit:
brainly.com/question/17075354
#SPJ13
The sales tax in Sandra's town is 6.5%. If she buys 2 shirts for $23.99 each and a pair of shoes for $41.99, how much sales tax does she owe?
4.68
5.84
7.85
5.12
Answers
Answer:
5.84
Step-by-step explanation:
She has two shirts and their 23.99 each
23.99 x 2 = 47.98
Then she has a pair shoes that cost 41.99
Add
47.98 + 41.99 = 89.97
6.5% = 0.065
89.97 x 0.065 = 5.84
which relation is a function? responses image with alt text: a coordinate grid containing a u shape with arrows on both ends that opens to the right. the bottom portion of the u passes through the origin. image with alt text: a coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. image with alt text: coordinate grid with graph of a vertical line at x equals 3.
Answers
The the coordinate grid containing a U shape with arrows on both ends that opens to the right and passes through the origin is a function. Therefore, the correct option is option 1.
To determine which relation is a function, you should consider these three graphs:
1. A coordinate grid containing a U shape with arrows on both ends that opens to the right, with the bottom portion passing through the origin.
2. A coordinate grid with the graph of a circle centered at the origin and passing through the point (2, 1).
3. A coordinate grid with the graph of a vertical line at x=3.
A relation is a function if each input (x-value) has exactly one output (y-value).
Let's analyze each graph:1. The U shape with arrows on both ends that opens to the right is a parabola. In this case, for every x-value, there is only one corresponding y-value. Therefore, this relation is a function.
2. The graph of a circle centered at the origin and passing through the point (2, 1) is not a function. This is because there are x-values that have more than one corresponding y-value (e.g., points on opposite sides of the circle sharing the same x-value). Hence, this relation is not a function.
3. The coordinate grid with the graph of a vertical line at x=3 is not a function either. In this case, every x-value (3) has an infinite number of y-values, which violates the definition of a function.
In conclusion, among the given relations, option 1: the coordinate grid containing a U shape with arrows on both ends that opens to the right and passes through the origin is a function.
Learn more about Function:
https://brainly.com/question/22340031
#SPJ11
A cylindrical tin with one end open has diameter 140 mm and height 50mm . Calculate the area of the base and curved surface area [ Take π = 22/7]
Answers
The area of the base and curved surface area is 15400mm² and 22000 mm² respectively, of the cylindrical surface.
What is the cylindrical surface?
The amount of space that is covered by the curved surface and flat surface of a cylinder's bases is known as the cylinder's surface area. In addition to the area of the curved surface, the cylinder's total surface area also comprises the areas of its two circular bases. Units of surface area are stated as squares, such as square millimeters, square inches, square feet, and so on. Two circular bases joined by a curving face form a 3-D solid object known as a cylinder.
The curved surface area of a cylinder is 2πrh
A = 2 * 22/7*140/2*50
A = 22000 mm²
The base are will be π r²
B= 22/7 * 140/2*140/2
B= 15400mm²
Hence the area of the base and curved surface area is 15400mm² and 22000 mm² respectively.
Learn more about cylindrical surface, by the following link.
https://brainly.com/question/20720526
#SPJ1
What is the lateral surface area of this figure?
Answers
The lateral surface area of the figure is 252.456
Calculating the lateral surface area of the figure?From the question, we have the following parameters that can be used in our computation:
A cone
Where we have
Slant height, l = 13.4 yards
Radius = 12/2 = 6 yards
The lateral surface area of the figure is then calculated as
LA = πrl
substitute the known values in the above equation, so, we have the following representation
LA = π * 6 * 13.4
Evaluate
LA = 252.456
Hence, the lateral surface area of the figure is 252.456
Read more about surface area at
https://brainly.com/question/31904163
#SPJ1
Help pls!!!
A farmer budgets $5,000 to buy and feed a cow for 300 days. She buys the cow for $2,000,
so how much can she spend on food each day?
Answers
Answer:
10 dollars
Step-by-step explanation:
10 dollars a day
10x300=3000
3000+2000=5000
Step-by-step explanation:
A water tank is being filled with water. before water is pumped in, the water level in the tank is 11 inches high. after 20 minutes, the water level is 58 inches high. make an equation for this?will give brainest answer
Answers
The equation representing the water level in the tank after a certain amount of time can be written as: water level = initial water level + (filling rate × time).
In this scenario, the initial water level in the tank is 11 inches. After 20 minutes, the water level increases to 58 inches. We can represent the change in water level using the equation:
water level = initial water level + (filling rate × time)
Let's assume the filling rate is constant throughout the process. We can substitute the given values into the equation:
58 = 11 + (filling rate × 20)
By solving this equation, we can determine the filling rate of the tank. This equation represents the relationship between the initial water level, filling rate, and time to calculate the water level at any given time.
Learn more about equation here: brainly.com/question/29174899
#SPJ11
Please solve this as soon as possible
Answers
Answer:
Below in bold.
Step-by-step explanation:
The total sum of the numbers in A is 124 and the sum of the numbers in B = 56
Let x be the number passed from A to B, then from the given information:
124 - x = 56 + x + 20
124 - 56 - 20 = 2x
48 = 2x
x = 24.
a) So the number passed is 24.
b) Sum of numbers in B = 56 + 24 = 80.
c) Let pencil cost x then pen will cost 1.1 - x.
Now the pen costs 1 pound more than the pencil
so 1.1 - x - x = 1
-2x = -0.1
x = 0.05.
So the pen costs 1.1 - 0.05 = £1.05.
6
James bought 16 tickets for a concert. The good tickets cost $8 and bad tickets
cost $5. He spent a total of $113 on all the tickets. Write a system that can be used to
determine how many good tickets James bought and how many bad ticket he bought.
Answers
Answer:
James bought 11 good tickets and 5 bad tickets.
Step-by-step explanation:
Given that:
Cost of each good ticket = $8
Cost of each bad ticket = $5
Total amount spent = $113
Total tickets bought = 16
Let,
x be the number of good tickets bought
y be the number of bad tickets bought
x+y=16 Eqn 1
8x+5y=113 Eqn 2
Multiplying Eqn 1 by 5
5(x+y=16)
5x+5y=80 Eqn 3
Subtracting Eqn 3 from Eqn 2
(8x+5y)-(5x+5y)=113-80
8x+5y-5x-5y=33
3x=33
Dividing both sides by 3
\(\frac{3x}{3}=\frac{33}{3}\\x=11\)
Putting x=11 in Eqn 1
11+y=16
y=16-11
y=5
Hence,
James bought 11 good tickets and 5 bad tickets.
find the critical value(s) and rejection region(s) for the type of z-test with level of significance . include a graph with your answer. right-tailed test, a=0.03.
Answers
Answer:
c
Step-by-step explanation:
The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88 OR Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.
To know more about critical value Visit:
https://brainly.com/question/32607910
#SPJ11
A closed half-plane is the solution of a linear inequality that comes close to the boundary line.
O True
O False
Answers
Answer:false
Step-by-step explanation:
Tasha has a gift card to buy tickets to the movie theater. The initial value of the gift card is $120 . The function M(x)=120-12x represents the amount of money, M , in dollars, that is still left on the gift card after purchasing x movie tickets at a cost of $12 each.
Complete the statements.
The value of is 60/-60 which is viable/not viable in terms of the given context.
Answers
The solution to the linear function M(x) = 180 is of x = -5.
What is a Linear Function Equation?The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.
In this problem, the function is defined as follows:
M(x) = 120 - 12x.
M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.
The domain of the situation is given as follows:
x ≥ 0. {discrete}
As the number of tickets cannot assume negative neither decimal values.
The equation is:
M(x) = 180.
The solution is calculated as:
120 - 12x = 180
12x = -60
x = -60/12
x = -5.
Learn more about Linear function at:
https://brainly.com/question/21107621
#SPJ1
Six less than a number is greater than 4. What is the smallest possible integer that would make this inequality true?
Answers
n - 6 > 4
Add six to both sides to solve.
n - 6 + 6 > 4 + 6
n > 10
I suppose the smallest integer would be 11.
10. How many times smaller
is 0.98 than 9.8?
Answers
Explanation:
Since these number are in the decimal system, we know that as the decimal moves to the left, each digit it passes is divided by 10. As the decimal moves to the right, each digit it passes is multiplied by 10.
So in this example the decimal moves to the left one digit which means it divides by 10 so we go from 9.8 to 0.98.
Hence we say 0.98 is 10 times smaller than 9.8.
Cheers.
What is the value of the function y=2x-3 when x = −1?
0-5
0 -1
O2
O 3
Answers
Answer:
-5
Step-by-step explanation:
2(-1) - 3
-2 - 3
-5
please help me out
x-2/x+3≤0
Answers
Answer:
Step-by-step explanation:
1) Blair has a box of candy to sell. She has 4 chocolate bars, 4 fruit chews, 1 pack of
bubble gum and 3 sour candies.
If she chooses a piece of candy at random, what are the following probabilities.
a) Choosing a pack of gum.
Answers
Answer:
Ans: 1/12
Step-by-step explanation:
No. of events:4+4+1+3=12
Let the no. of events be E
Let the no. of packs of gum be P1
Prob. of choosing a pack of gum=P1/E
Probability=1/12
What are the answers to these questions
Answers
The input of a function that can be controlled is the independent variable while the output is the dependent variable thus "Number of hours" and "D" are independent while the amount of muscle mass is the dependent variable.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
An input variable that we can control and manage is said to be an independent variable.
For example in function y = f(x) here we can control variable x so it will be an independent variable.
As per the given,
The number of hours we can spend so will be an independent variable.
The input D will be the independent variable.
The amount of mass muscles depends on age so it will be the dependent variable.
Hence "Number of hours" and "D" are independent while the amount of muscle mass is the dependent variable".
For more about the function,
brainly.com/question/23712366
#SPJ1