A report states that the mean household income last year for a certain rural county was $46,200 and the median was $54,500. If a histogram were constructed for the incomes of all households in the county, would you expect it to be skewed to the right, to the left, or approximately symmetric
Answer:
skewed to the left
Step-by-step explanation:
A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.
If the mean is greater than the median, the histogram would be skewed to the right
If the mean is less than the median, the histogram would be skewed to the left.
The mean in this question is $46,200 while the median is $54,500. So, the histogram would be skewed to the left
A dental surgery clinic purchased a site for their new two-story facility. One of the attractive features of the site was the wetlands, although the setback requirements together with the necessary parking spaces limit the building footprint (or foundation) to 15% of the land area. If the site is one acre, what is the maximum size for the building
Therefore, the maximum size for the building on the one-acre site would be 0.15 acres.
If the setback requirements and necessary parking spaces limit the building footprint (or foundation) to 15% of the land area, and the site is one acre in size, we can calculate the maximum size for the building by multiplying the land area by the allowed building footprint percentage.
Maximum size for the building = 1 acre * 15%
= 0.15 acres
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\( x + 2y = 4\)
HEEEEELLLLPP
What is the measure of <6
5 ori 5 fac 25 și cu 25 egal 14 și cu 14 egal 100 și cu 100 egal 12
Step-by-step explanation:
sper ca team ajutat
Answer:
∠ 6 = 45°
Step-by-step explanation:
∠ 6 and 45° are vertically opposite angles and are congruent , so
∠ 6 = 45°
In a survey, 200 college students were asked whether they live on campus and if they own a car. Their responses are summarized in the following table below.
If in a survey, 200 college students were asked whether they live on campus and if they own a car, 55% of college students in the survey don't own a car.
To find the percent of college students who don't own a car, we need to add up the number of students who don't own a car and divide it by the total number of students in the survey. In this case, the total number of students in the survey is 200.
From the table, we can see that there are 88 students who live on campus and don't own a car, and 22 students who don't live on campus and don't own a car. So the total number of students who don't own a car is 88 + 22 = 110.
To find the percentage, we divide the number of students who don't own a car by the total number of students in the survey and then multiply by 100 to get the percentage:
Percentage of students who don't own a car = (110/200) x 100% = 55%
When working with percentages, we need to divide the number we are interested in by the total and then multiply by 100 to get the percentage.
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* Show steps
* Convert Seconds to hours first
After a brief halt. It takes the car 18 seconds to reach a velocity of 60 mph.
What was the vehicles acceleration ?
Step-by-step explanation:
18 seconds to hour
18÷3600= 0.005 hour
accelerstion= velocity÷ time
60 mph÷ 0.005 = 12,000m/h^2
What is the messaure of x? (Assume the quadrilateral is a square.)
SOLUTION
From the basic knowledge of Pythagoras theorem,
20^2 = x ^2 + 12 ^2
400 = x ^2 + 144
x^2 = 400 - 144
x^ 2 = 256
square root both sides, we have :
x = 16 cm
Hans bought 3 CDs that were each the same price. Including sales tax, he paid a total of 41.10. Of that total, 2.40 was tax. What was the price of each CD before tax?
Answer:
Each CD cost 12.90 before tax
Step-by-step explanation:
41.10-2.40=38.7
38.7/3=12.90
A homeowner bought a dryer from a discount appliance store for $698.27 and makes 12 monthly payments of $63.29 with a credit card. The store charges $1.25 for every purchase made with a credit card. The homeowner also had to pay late fees in the amount of $35 four different times. What is the total cost of the dryer?
$713.27
$809.48
$900.73
$914.48
If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.
To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.
The total cost of the dryer can be calculated as follows:
Cost of dryer = $698.27
Total credit card charges = 12 x $1.25 = $15
Total late fees = 4 x $35 = $140
Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees
= $698.27 + $15 + $140
= $809.27
Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.
So, correct option is A.
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HELP ASAP I WILL MARK YOU BRAINLEAST
You roll a die ten times and get a six four of those times. What is the experimental probability of rolling a six?
PLS ANSWER CORRECTLY
Answer:
1/3 is the experimental probability of rolling 6
Explanation:
Given, a die roll 10 times in which we get 6 three times. Total no. of possible outcomes = 10 and number of favorable outcomes = 3
Therefore, the probability of getting 6 = 1/3.
If a matrix A is 5 x 3 and the product AB is 5 x 7, what is the size of B?
The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].
Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.
Let A is a 3 x 5 matrix and B is a 5 x 7 matrix
We know that matrix multiplication of A and B is possible if
Number of columns of A = Number of rows of B
Since in the given problem
Number of columns of A = Number of rows of B = 5
So the product is possible
Now the product AB is a matrix of order 3 × 7
Now the order of the product AB is 3 × 7
If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.
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there is 60 cows in the field 20% of the cows have brown spot and 1/3 of the cows have black spot the rest have no spot how many cows have no spots
Your answer should be:
28 cows.
------------------------------------
With there being 60 cows:
12 cows have brown spots.
20 cows have black spots.
28 cows have no spots.
Factor the expression using the GCF.
42n-27s
A bag contains 6 red marbles, 8 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to the
nearest 1000th, that both marbles drawn will be blue?
PLEASE HELP IF YOU CAN
Answer:
0.111
The probability of two blue marbles being drawn from the bag to all marbles is 2/18, and 2/18 ----> 0.11 rounded to nearest thousandth.
Step-by-step explanation:
Here is the answer to your question
Answer:
Nothing further can be done with this topic. Please check the expression entered or try another topic. Thanks for the answer :)!
Answer:
this is wrong btw
Step-by-step explanation:
What's the temperature? The temperature in a certain location was recorded each day for two months. The mean temperature was 76.4 ∘
F with a standard deviation 7.3 ∘
F. What can you determine about these data by using Chebyshev's Inequality with K=3 ? At least % of the days had temperatures between "F and
By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.
Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.
The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.
In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.
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What are the transformations of the function?
1. Vertical Shift: f(x) + 1 = 2(1/3)ˣ + 2, 2. Horizontal shift: f(x - 2) = 2(1/3)ˣ⁻² + 1, 3. Vertical stretch/compression: 3f(x) = 6(1/3)ˣ + 3, 4. Horizontal stretch/compression: f(2x) = 2(1/3)²ˣ + 1.
Describe Translation?In two-dimensional geometry, a translation can be described as moving a point or a shape horizontally, vertically, or diagonally. To translate a shape, we can move each of its points by the same vector. For example, to translate a square 3 units to the right and 2 units up, we can move each of its four vertices 3 units to the right and 2 units up.
In three-dimensional geometry, a translation can be described as moving an object in the x, y, or z direction. To translate an object, we can move each of its points by the same vector. For example, to translate a cube 2 units in the x-direction, 3 units in the y-direction, and 4 units in the z-direction, we can move each of its eight vertices by the vector (2, 3, 4).
The function f(x) = 2(1/3)ˣ + 1 can be transformed using different techniques, such as shifting, stretching, or reflecting. Here are some possible transformations:
Vertical shift: Adding a constant to the function shifts the entire graph vertically. For example, adding 1 to f(x) shifts the graph up by 1 unit. The new function is:
f(x) + 1 = 2(1/3)ˣ + 2
Horizontal shift: Adding or subtracting a constant to the input variable x shifts the graph horizontally. For example, replacing x with x - 2 shifts the graph to the right by 2 units. The new function is:
f(x - 2) = 2(1/3)ˣ⁻² + 1
Vertical stretch/compression: Multiplying the function by a constant stretches or compresses the graph vertically. For example, multiplying f(x) by 3 stretches the graph vertically by a factor of 3. The new function is:
3f(x) = 6(1/3)ˣ + 3
Horizontal stretch/compression: Multiplying or dividing the input variable x by a constant stretches or compresses the graph horizontally. For example, replacing x with 2x stretches the graph horizontally by a factor of 1/2. The new function is:
f(2x) = 2(1/3)²ˣ + 1
These are some of the possible transformations of the function f(x) = 2(1/3)^x + 1. By applying one or more of these transformations, we can obtain a new function that represents a shifted, stretched, or reflected version of the original function.
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Download guathmath and put it my code please it's an app with tutors it's faster! WFHUZJ
Answer: Advertisement?
Do I need an explanation? : Y e s I d o
What are the coordinates of point A?
I will give brainliest:)
Answer:
(-4,-3)
Step-by-step explanation:
Elijah and Riley are playing a board game. Elijah chose the cat, which measures 1/2 inches tall, and Riley chose the dragon, which measures 7/8 inches tall. How much taller is the dragon then the cat?
Answer:
3/8 inches taller.
Step-by-step explanation:
1/2=4/8
7/8-4/8=3/8
help please! math volumes
Answer:
980.18 cm^3
Step-by-step explanation:
Volume of cylinder w/out spheres = pi r^2 h
= pi 8^2 *6
now subtract the volume of the TWO spheres
2 * 4/3 pi * 3^3
for result = 980.18 cm^3
A test has 20 questions worth 100 points. The test consists of yes/no questions worth 3 points each and multiple choice questions worth 11 points each. How many yes/no questions are on the test?
There is a total of 15 yes/no questions on the test. Hence, 15 is the correct answer.
Let's assume the number of yes/no questions on the test is represented by 'x'. The number of multiple-choice questions would then be '20 - x' since the test consists of a total of 20 questions.
The points obtained from yes/no questions can be calculated as 3 times the number of yes/no questions, which is 3x.
Similarly, the points obtained from multiple-choice questions can be calculated as 11 times the number of multiple-choice questions, which is 11(20 - x).
Since the total points for the test are 100, we can set up the equation:
\(3x + 11(20 - x) = 100\)
or, \(3x + 220 - 20x = 100\)
or, \(8x = 120\)
or, \(x = 15\)
Therefore, the total number of yes/no questions on the test is 15.
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2+2 pls help i will really apericate it i need help so badly
Answer:
4
Step-by-step explanation:
4
can someone help pls
The radius of the ball, to the nearest hundredth, is approximately 10.63 cm.
To find the radius of the spherical ball, we'll use the formula for the surface area of a sphere, which is given by:
Surface Area = 4πr²
Given that the surface area of the ball is 452 cm², we can set up the equation:
452 = 4πr²
Dividing both sides of the equation by 4π, we get:
113 = r²
Taking the square root of both sides, we find:
r ≈ √113
Evaluating √113 to the nearest hundredth, we have:
r ≈ 10.63 cm
Therefore, the radius of the ball, to the nearest hundredth, is approximately 10.63 cm.
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A group of hospital workers belonging to a union each earn the same hourly wage. The union dues are 2 percent of each paycheck regardless of whether the employee works full-time, half-time, or quarter-time. Does this mean that the amount of money deducted will be the same for all the employees?
Answer:
No, different amounts will be deducted.
Step-by-step explanation:
Because the amount deducted is a percent, it changes based on the total amount.
For example, If someone takes 10% of $100, they will have taken $10. And if they take 10% from someone who has $10, they will have taken $1.
Good luck!
a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal. units
Answer:
98 units.
Step-by-step explanation:
Circumference = 2 * pi * radius
615.44 = 2 * 3.14 * r
r = 615.44 / (2 * 3.14)
=2 * 3.14
= 98 units.
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y > −2x + 10 y > 1/2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
answer:
a) E
b) K
c) B
d) D
Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.
To determine which point is a solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2, we can test each point to see if it satisfies both inequalities.
a) Point E at (4, -2):
Substituting the coordinates into the inequalities:
-2 > -2(4) + 10 -> -2 > -8 + 10 -> -2 > 2 (False)
-2 > (1/2)(4) - 2 -> -2 > 2 - 2 -> -2 > 0 (False)
b) Point K at (2, 3):
Substituting the coordinates into the inequalities:
3 > -2(2) + 10 -> 3 > -4 + 10 -> 3 > 6 (False)
3 > (1/2)(2) - 2 -> 3 > 1 - 2 -> 3 > -1 (True)
c) Point B at (4, 7):
Substituting the coordinates into the inequalities:
7 > -2(4) + 10 -> 7 > -8 + 10 -> 7 > 2 (True)
7 > (1/2)(4) - 2 -> 7 > 2 - 2 -> 7 > 0 (True)
d) Point D at (-7, 1):
Substituting the coordinates into the inequalities:
1 > -2(-7) + 10 -> 1 > 14 + 10 -> 1 > 24 (False)
1 > (1/2)(-7) - 2 -> 1 > -3.5 - 2 -> 1 > -5.5 (True)
Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.
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Please help me. ( *_* )
Answer:
Step-by-step explanation:
b
During the time interval 0 ≤ t ≤ 23, the rate of change of the population of deer in a forest, in deer per day, can be modeled by the differentiable function K(t), where t is measured in days. At time t=3 there are 250 deer in the forest. What is the best interpretation of the statement K'(3)=-135?
The best interpretation of K'(3)=-135 is that the rate of change of the population of deer in a forest at time, t = 3 days is 135.
What is differentiation?Differentiation is used in math to describe the rate of change of a function with respect to a variable
How to interpret the the statement K'(3)=-135The question has the function as the population of deer in a forest dependent on the time in days
differentiation is a term that used for rate of change hence the statement K'(3)=-135 is solved for as follows
differentiating the function K(t) with respect to tto get k'(t)substituting t = 3 to k'(t) this is for 3 dayssuch that k'(t) = k'(3) then gives 135K'(3)=-135 represents the rate at which the number of deer increase or decrease in 3 days interval
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let f(x) = cx ln(cos(x)). for what value of c is f ′ 4 = 7?
The value of c: -0.0018.
How to find the value of c?We first find the derivative of f(x) using the product and chain rule:
f(x) = cx ln(cos(x))
f'(x) = c ln(cos(x)) + cx * (-sin(x)/cos(x))
f'(x) = c ln(cos(x)) - cx tan(x)
Then we can find the fourth derivative:
\(f''''(x) = c * (- 2sec^4(x) - 16sin^2(x)sec^2(x) + 12sin^4(x)sec^2(x)) - cx * (24sin^3(x)/cos^3(x) + 12sin(x)/cos(x))\)
Now we evaluate the fourth derivative at x = 4:
\(f''''(4) = c * (- 2sec^4(4) - 16sin^2(4)sec^2(4) + 12sin^4(4)sec^2(4)) - c*4 * (24sin^3(4)/cos^3(4) + 12sin(4)/cos(4))\)
We set this equal to 7 and solve for c:
\(7 = c * (- 2sec^4(4) - 16sin^2(4)sec^2(4) + 12sin^4(4)sec^2(4)) - c*4 * (24sin^3(4)/cos^3(4) + 12sin(4)/cos(4))\)
Using a calculator, we find that the value of c that satisfies this equation is approximately -0.0018.
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