Answer:
Step-by-step explanation:
Statistical questions are questions that can be answered by collecting, analyzing, and summarizing numerical data. The data can then be used to make inferences, predictions, and draw conclusions.
In the context of statistical analysis, numerical data refers to data that can be measured and expressed as a number. For example, the number of hours someone spends practicing a musical instrument each week, or the number of books a student reads each month.
On the other hand, questions such as "Who is your favorite cartoon character?" cannot be answered with a number and therefore are not statistical questions. The answer to this type of question is qualitative or categorical data and can not be analyzed numerically.
It's important to note that while the questions that result in numerical data are often statistical questions, not all questions that result in numerical data are necessarily statistical questions. For example, the number of letters in someone's first name is a numerical piece of information, but it does not involve collecting and analyzing data to make inferences or draw conclusions.
Answer:2)How many hours do you practice your musical instrument each week.
Step-by-step explanation:
"How many hours do you practice your musical instrument each week?" is a statistical question that can result in numerical data.
This is a statistical question because it involves a numerical variable ("hours practiced per week"), which can be measured and quantified.
A square a triangle and a parallelogram are used to form the figure shown. What is the area of the figure in square feet?
A) 213.04
B) 210.64
C) 231.04
D) 207
The area of the attached figure is 32 square mm
What is the area of the figure?The similar question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
A square a triangle and a parallelogram
The shapes can be combined to
a triangle and a parallelogram
So, we have
Area = Sum of individual areas
Using the dimensions of the shapes as a guide, we have the following:
Area = 0.5 * 2 * 8 + 4 * 6
This gives
Area = 32
Hence, the area is 32 square mm
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please help i am so confused its eulerian circuit
According to the information in the graph, the cheapest route to travel through all cities would be: Atlanta - Dallas - San Francisco - Los Angeles - New York - Detroit - Atlanta.
How to calculate the cheapest option to travel to all cities?To calculate the cheapest option to travel to all cities, we must identify our starting point in the city of Atlanta and analyze which is the cheapest option to travel. In this case, it would be the Detroit or Dallas option (at this point we can choose either one).
Once we choose Dallas, we must apply a location strategy so that the next move leaves us in a suitable position to go to the cities of the east coast. Therefore, the best option would be San Francisco and then Los Angeles.
After this, the best (cheaper) option would be to take transportation to New York, Detroit, and finally to Atlanta. Finally, we must add the values of the displacements to know what the total value is:
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-4x - 15y = -10
x + 3y = 1
Answer:
This system of equations can be solved using substitution or elimination methods.
Using substitution, we can solve for one of the variables in one of the equations and substitute that expression into the other equation.
Solving for x in the second equation:
x + 3y = 1
x = 1 - 3y
Substituting this expression for x into the first equation:
-4(1 - 3y) - 15y = -10
Expanding and solving for y:
-4 + 12y - 15y = -10
12y - 4 = -10
12y = -6
y = -1/2
Now that we know y = -1/2, we can substitute this value back into the expression for x:
x = 1 - 3(-1/2) = 1 + 3/2 = 7/2
So the solution to the system of equations is (7/2, -1/2).
Checking the solution in both equations:
-4(7/2) - 15(-1/2) = -4(7/2) + 15/
Step-by-step explanation:
Last year at a certain high school, there were 100 boys on the honor roll and 80 girls on the honor roll. This year, the number of boys on the honor roll decreased by 2% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll decrease ? Round your answer to the nearest tenth (if necessary ).
Answer:
5.6%
Step-by-step explanation:
2/100 x 100 = 2
100-2 = 98 Boys on new Honor Roll
1/10 x 80 = 8
80-8 = 72 Girls on new Honor roll
180 Original Roll
170 On new Roll
x/100 x 180 = 170
x/100 = 17/18
x = 1700/18
x = 94.4444444
Round 94.4
5.6 percent decrease.
Match each polynomial on the left with its two factors on the right.
x³-27
x² +27
x+3
x-3
x² + 3x +9
x² + 3x-9
x²-3x+9
x²-3x-9
Answer:
hi
Step-by-step explanation:
[tex]x {}^{3} - 27 = {x}^{3} - {3}^{3} \\ = (x - 3)( {x}^{2} + 3x + 9) \\ {x}^{3} + 27 = {x}^{3} + {3}^{3} \\ = (x + 3)( {x}^{2} - 3x + 9)[/tex]
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.
n=3
4 and 2i are zeros
f(1)=-30
The function for the given zeros is f(x)=2x³-8x²+8x-32.
What are the zeros of the polynomial function?The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.
Given that, n=3.
x=4 and x=2i
We then know that the third root must be x=-2i
Now, f(x)=a(x-4)(x-2i)(x+2i)
= a(x-4)(x²-(-2i)²)
= a(x-4)(x²-(-4))
= a(x-4)(x²+4)
= ax²(x-4)+4(x-4)
f(x)= a(x³-4x²+4x-16)
f(1)=a(1³-4×1²+4×1-16)
-30=a(1-4+4-16)
a=2
Now, f(x)=2(x³-4x²+4x-16)
f(x)=2x³-8x²+8x-32
Therefore, the function is f(x)=2x³-8x²+8x-32.
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Linear Functions Question! Please Help Asap!
The value the function given by (A ∪ B) = {1, 2, 4, 5, 7, 9, 11, 12, 15, 16, 18} and (A ∩ B) = {7}.
What is union of sets?We carry out specific operations in mathematics, such as addition, subtraction, multiplication, etc. Generally speaking, these operators accept two or more operands and output a result dependent on the operation carried out. Similar to this, in set theory, several operations are typically done on two or more sets to obtain a new set of elements depending on the operation. The number of elements supplied by the operation and processing the result of a collective set is represented by the union and overlap of sets. All of the components are taken into account in the outcome when there is a union, but only the ones that are shared when there is an intersection.
The union of the two sets depict all the terms present in both the sets.
Thus, the value of (A ∪ B) is:
(A ∪ B) = {1, 2, 4, 5, 7, 9, 11, 12, 15, 16, 18}
The intersection of the sets depict all the common terms present in the two sets thus the value of (A ∩ B) is:
(A ∩ B) = {7}
Hence, the value the function given by (A ∪ B) = {1, 2, 4, 5, 7, 9, 11, 12, 15, 16, 18} and (A ∩ B) = {7}.
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What are the features of the function f(x) = -2 log_3 (x + 8) graphed below?
The domain of the function is set of all real numbers except 8. Range of the function is set of all real numbers. The given function does not have asymptotes.
What is a function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
Domain: The domain of the function is the set of all real numbers greater than -8, since the argument of the logarithm, x + 8, must be positive.
Range: The range of the function is all real numbers.
Asymptotes: The function does not have any vertical asymptotes.
Transformation: The function is a reflection of the standard logarithmic function over the x-axis, with a vertical scaling factor of -2. This means that the function will start from the origin and increase without bound.
Behavior near x = -8: As x approaches -8 from the right, the value of the function approaches negative infinity. As x approaches -8 from the left, the value of the function approaches positive infinity.
The domain of the function is set of all real numbers except 8. Range of the function is set of all real numbers. The given function does not have asymptotes.
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just confusing can someone help due today
Step-by-step explanation:
It's a long answer. You have to find the area of the large triangle, the small triangle than subtract the two
A = 1/2(b)(h)
For the big triangle
A = 1/2(16)(4) = 1/2(64) = 32
For the small triangle
A = 1/2(8)(2)
We use 8 and 2 because that's half of 16 and 4, since at the bottom it says A and B are midpoints
A = 1/2(8)(2) = 1/2(16) = 8
Now we subtract
32-8 = 24 units
A sports trophy is in the shape of a cup
30 cm high. The winners are each given
copies of the cup, 7 cm high. One of the
copies holds 100 ml. What is the capacity of the trophy in liters?
The capacity of the trophy that us 30 cm high is 0.4286 liter
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
7 cm height cup holds 100 ml. Therefore:
7 cm = 100 ml
For a 30 cm height trophy:
30 cm = 30 cm * 100 ml per 7 cm = 428.57 ml
1000 ml = 1 l
428.57 ml = 428.57 ml * 1 liter per 1000 ml = 0.4286 liter
The capacity of the trophy is 0.4286 liter
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The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 44, 48, 50.5, 53, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
Which of the following is the five-number summary for this data?
Min = 42, Q1 = 44, Median = 50, Q3 = 54, Max = 56
Min = 41, Q1 = 43, Median = 49.5, Q3 = 56, Max = 58
Min = 44, Q1 = 48, Median = 50.5, Q3 = 53, Max = 56
Min = 44, Q1 = 45, Median = 49, Q3 = 56, Max = 58
The summary of the given data is Min = 44, Q1 = 48, Median = 50.5, Q3 = 53, Max = 56 . So option C is correct.
What is the median?The middle number of data in a collection is known as the median. Three alternative metrics are employed in mathematics to determine the average value for a given group of integers. They are the median, mode, and mean. The measures of central tendency are this trio of measurements.
Median = [(n/2)th term + {(n/2)+1}th term]/2 (for even)
Median = {(n+1)/2}th term (for odd)
Based on the given information,
we can see that the box plot shows the values of 44, 48, 50.5, 53, and 56.
These values represent the minimum, lower quartile (Q1), median, upper quartile (Q3), and maximum, respectively.
Therefore, the five-number summary for this data is:
Min = 44,
Q1 = 48,
Median = 50.5,
Q3 = 53,
Max = 56
So the answer is: Min = 44, Q1 = 48, Median = 50.5, Q3 = 53, Max = 56
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A. 26 square feet
B. 24 square feet
C. 12 square feet
D. 16 square feet
Answer:
The area of the quadrilateral is C: 12 square feet.
Step-by-step explanation:
In the photo, the quadrilateral is divided into two triangles, both having a base length of 4 feet and a height of 3 feet. Therefore, we can find the area of the entire quadrilateral by adding the areas of the two triangles together. Since the triangles have a base length of 4 feet and a height of 3 feet, their individual areas will be [tex]4*3*\frac{1}{2} =12*\frac{1}{2} = 6[/tex] square feet. As there are two triangles, we need to multiply the area of one triangle by 2 to get the total area of the quadrilateral, which would be [tex]6 * 2=12[/tex] square feet. Hence, we can conclude that the correct answer will be C.
Have a great day! Feel free to let me know if you have any more questions :)
Need help, got the answer as $10421.82 but it says it's wrong, I need the answer with steps please, thanks!
The balance in the account after 16 years, given interest rate and the compounding period, is $ 10, 421. 83.
How to find the balance in the account ?To find the balance after 16 years, the formula to be used is the compound interest formula which is:
= Amount invested x ( 1 + rate ) ^ number of periods
Rate :
= 6 % / 12 months per year
= 0. 5 %
The number of periods :
= 16 years x 12 months a year
= 192 periods
The value would be :
= 4, 000 x ( 1 + 0. 5% ) ¹⁹²
= $ 10, 421. 83
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A roll of gasket material is 9 in wide. What length is needed to obtain 19 sq ft of the material? (Careful: The numbers are not expressed in compatible units.)
f
A length of ft is needed to obtain 19 sq ft of gasket material.
(Type an integer, proper fraction, or mixed number.)
The length of gasket material needed to obtain 19 sq ft of the material is approximately 25.33 ft.
What is length?
The length of something measured from end to end or along its longest side, or the length of a specific section of something.
Convert the width from inches to feet:
Since there are 12 inches in a foot, the width in feet is:
9 / 12 = 0.75 ft
Calculate the length needed:
We know that the area of the gasket material is 19 sq ft, and the width is 0.75 ft. Let L be the length needed in feet. Then we have:
Area = Width x Length
19 sq ft = 0.75 ft x L
Solving for L, we get:
L = 19 sq ft / 0.75 ft
L = 25.33 ft (rounded to two decimal places)
Therefore, the length of gasket material needed to obtain 19 sq ft of the material is approximately 25.33 ft.
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22.1.3 Quiz: Selecting a House: Fairly Priced?
Question 5 of 10
A house is listed for sale at $235,000, but the listing does not include square
footage of the house. Based on the comps, the line of best fit is
y=0.06x + 60.5. If the price is fair, what size (in square feet) should the house
be?
OA. 2850 ft2
OB. 2900 ft2
OC. 20,000 ft²
OD. 2350 ft²
Size of the house should be 2900 ft².
Correct option is B.
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Given,
Equation for the line that expresses price of house
y = 0.06x + 60.5
where y is the price in thousand dollars, x is area in square feet.
Price of the house = $235000
⇒ y = 235
Then,
235 = 0.06x + 60.5
0.06x = $235 - 60.5
0.06x = 174.5
x = 174.5/0.06
x = 2908.33 ≈ 2900
Hence, 2900 ft² should be the size of the house.
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4x - 5 > 3 OR -4x < -28
Answer: x=35
Step-by-step explanation:
Put a decimal point in the number 26583 so that the 5 has a value of
100
50
The number as decimal is 26583.0
How to rewrite the number as decimalFrom the question, we have the following parameters that can be used in our computation:
Number = 26583
Also, we have the required value of 5 to be
Required = 100
Using the above as a guide, we have the following:
The number 5 must have a value of 100 in the new number i.e. 500
So, we have
Number = 26583
Rewrite as
Number = 26500 + 83
This means that we add 5 at the end
So, we have
Number = 26583.0
Hence, the new number is 26583.0
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Q: What is the result of adding
-3x²-5x +1 and 8x²-2x-9?
A. 5x²-3x-10
B. -5x²-3x-10
C. 5x²-7x-8
D. -5x²-7x+8
Answer:
C. 5x²-7x-8
Step-by-step explanation:
(-3x²-5x +1 ) + (8x²-2x-9)
Grouping like terms:
(- 3x² + 8x²) + (- 5x - 2x) + (1 - 9)
=> (5x²) + (-7x) + (-8)
=> 5x² - 7x - 8
Convert 2π radians into degrees.
Answer:
360
Step-by-step explanation:
Every 1/2pi is 90 degrees.
Going down the list...
1/2pi is 90
pi is 180
3/2pi is 270
2pi is 360
Which is a counterexample of the following conditional? "If a number is divisible by seven, then it is odd." 28 21 7 1
PLS JUST DROP THE ANSWER
The counterexample of the given conditional statement is "14 is even number and is divisible by 7."
What is a counterexample?Counterexamples are used in math to contradict a statement. Counterexamples are used to prove the limitations of possible theorems.
The given statement is "If a number is divisible by seven, then it is odd."
Number, 14, 28, 42, 56 are even numbers and they are divisible by seven.
Therefore, the counterexample of the given conditional statement is "14 is even number and is divisible by 7."
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Answer: the answer is 28
Step-by-step explanation: 28 is divisible by 7 and it is a even number
where is the local (relative) maximum for the graph below?
The local maximum for the graph below is given at point b.
How to classify the function as increasing, decreasing or constant, and how it relates to the local maximum?The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.A function has a local maximum when it changes from increasing to decreasing.
For the graphed function, we have that the function is increasing until point b, and then it starts to decrease, hence the local maximum is given at point b.
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A set of data has a mean of 10 and a standard deviation of 3.
(a) Each value in the data set has 6 added to it. Write down the value of
(i) the new mean;
(ii) the new standard deviation.
(b) Each value in the original data set is multiplied by 6.
(i) Write down the value of the new mean.
(ii) Find the value of the new variance.
Answer:
Step-by-step explanation:
(a) (i) The mean of the original data set is denoted as μ and the constant value being added to each data point is denoted as c.
The formula for the new mean is simply μ + c, so the new mean is μ + 6 = 10 + 6 = 16.
(a) (ii) The standard deviation of the original data set is denoted as σ. Adding a constant value to each data point does not change the spread of the data set, so the new standard deviation is still σ = 3.
(b) (i) The mean of the original data set is denoted as μ and the constant value being multiplied to each data point is denoted as k.
The formula for the new mean is μ * k, so the new mean is μ * 6 = 10 * 6 = 60.
(b) (ii) The variance of the original data set is denoted as V. To find the new variance after multiplying each data point by k, we can use the formula: k^2 * V.
So, the new variance is 6^2 * V = 36 * V.
--------
Here is a definition of each variable:
μ: The mean of a set of data is the sum of all the values divided by the number of values. It represents the average value of the data set.
σ: The standard deviation of a set of data is a measure of the spread of the data set about the mean. It is the square root of the variance.
V: The variance of a set of data is the sum of the squares of the deviations of each value from the mean, divided by the number of values. It is a measure of the spread of the data set about the mean, but it is measured in squared units.
c: A constant value added to each data point.
k: A constant value multiplied to each data point.
Using the terms ‘development’ and ‘fidelity’, explain the value of terms that are essentially contestable. Show how these terms differ from others described as well-defined.
Step-by-step explanation:
we all know that development is positive change in society and fidelity is a process of fertilization of human in society that explain us development and fertilization are the process of positive changes in our environment and province
Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that
cost $6.50 per pound with French Roast Columbian coffee that cost $8.20 per pound to make a 34-pound
blend. Their blend should cost them $6.90 per pound. How much of each type of coffee should they buy?
Pounds of City Roast coffee =
Pounds of French Roast coffee =
Using a system of equations, the number of each type of coffee that Julia and her husband should buy is as follows:
Pounds of City Roast coffee = 26Pounds of French Roast coffee = 8.What is a system of equations?A system of equations is two or more equations solved concurrently or at the same time.
A system of equations can also be described as simultaneous equations.
The cost per pound of City Roast Columbian coffee = $6.50
The cost per pound of French Roast Columbian coffee = $8.20
The total quantity of the blend = 34 pounds
The cost per pound of the blend = $6.90
The total cost of the 34 pounds = $234.60 ($6.90 x 34)
Let the number of pounds of City Roast coffee = x
Let the number of pounds of French Roast coffee = y
Equations:x + y = 34 ... Equation 1
6.5x + 8.2y = 234.6 ... Equation 2
Multiply Equation 1 by 6.5:
6.5x + 6.5y = 221 ... Equation 3
Subtraction Equation 3 from Equation 2:
6.5x + 8.2y = 234.6
-
6.5x + 6.5y = 221
1.7y = 13.6
y = 8
Substitute, y = 8 in Equation 1:
x + y = 34
x = 34 - 8
x = 26
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Consider a linear function where
F(-10)=64 and f(15)=54
Find the equation
The equation is f(x) = -0.4x + 60. The solution has been obtained by using slope - intercept form.
What is slope-intercept form?
The graph of the equation y = mx + b is a line with a slope of m and a y-intercept of b. The form of the linear equation is called the slope-intercept form, and the values of m and b are real integers.
We are given that f(-10) = 64 and f(15) = 54.
So, we get the points as (-10 , 64) and (15 , 54)
Using the slope intercept form, we get
Slope(m) = (54 - 64)/(15 + 10)
Slope(m) = -0.4
We know that y = mx + b
For calculating b. we will put in the values
⇒64 = -0.4(-10) + b
⇒64 = 4 + b
⇒b = 60
From this we get the equation as
f(x) = -0.4x + 60
Hence, the equation is f(x) = -0.4x + 60.
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-0.2x+3 / 2 = -0.6 ??
Answer:
Step-by-step explanation:
-0.2x+3 / 2 = -0.6 =>
-0.2x = -(3/2) - 0.6 => (facotorize out -1)
x = ((3/2)-0.6)/0.2 =>
x = 4.5
What is 22/22X22-22+22? Then 33/33X33-33+33? Then Divide both answers by 5?
Answer:
22/22X22-22+22= 22÷5 =4.5
33/33X33-33+33=33÷5=6.6
Find the common ratio of the geometric sequence
17,51,153
Answer:
Common ratio, r = 3
Step-by-step explanation:
Common ratio is given by the ratio of one of the terms to the previous term and is a constant for the entire sequence
Here the first term is 17
Second term is 51
Second Term ÷ First Term
= 51 ÷ 17 =3
Third Term ÷ Second Term
= 153 ÷ 51 = 3
So common ratio is 3
In general, if aₙ is the nth term and aₙ₊₁ then the common ratio is given by:
aₙ₊₁ / aₙ
A lighthouse is situated 10m back from a 35m high cliff. If the beacon is 8m above the base of the lighthouse, how far from the cliff does the shadow extend?
Answer: the shadow will extend 43.75m
Step-by-step explanation:
A man is considering two companies from which to rent a truck. Triangle Truck Rental charges $35 per day and 50 cents a mile. Circle Rent-A-Truck charges $55 a day
and 30 cents a mile. How far would he need to drive in one day for the both companies to have the same total cost?
How many miles would he need to drive in the day?
____ miles
Answer:
10 miles
Step-by-step explanation:
Let's call the number of miles driven in a day "x". The total cost for Triangle Truck Rental can be expressed as:
Cost (Triangle) = $35 + 0.5x
The total cost for Circle Rent-A-Truck can be expressed as:
Cost (Circle) = $55 + 0.3x
We want to find the value of x such that Cost (Triangle) = Cost (Circle). So we can set the two expressions equal to each other and solve for x:
$35 + 0.5x = $55 + 0.3x
0.2x = $20
x = 100 miles
So the man would need to drive 100 miles in one day for both companies to have the same total cost.
