The highway mileage (mpg) for a sample of 9 different models of a car company can be found below. 41 50 41 25 28 27 36 47 46 Find the mode: Find the midrange: Find the range: Estimate the standard deviation using the range rule of thumb: Now use technology, find the standard deviation: decimal places.) (Please round your answer to 2
Answers
For highway-mileages of 9 different models of car, the mode is 41, mid-range is 37.5, range is 25, and standard-deviation is 6.25.
⇒ To find the mode, we identify the value(s) that occur most frequently in the data set. In this case, the mode is 41, as it appears twice, more than any other value.
So, the mode is 41,
⇒ The midrange is calculated by finding the average of the maximum and minimum values in the data set. In this case, the maximum value is 50 and the minimum value is 25. So, the midrange is (50 + 25)/2 = 37.5,
⇒ The range is determined by subtracting the minimum value from the maximum value. In this case, the range is 50 - 25 = 25,
⇒ To calculate the standard-deviation using the range rule of thumb, we divide the range by 4. In this case, the range is 25, so the standard deviation would be 25/4 = 6.25.
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The given question is incomplete, the complete question is
The highway mileage (mpg) for a sample of 9 different models of a car company can be found below. 41, 50, 41, 25, 28, 27, 36, 47, 46.
Find the mode, midrange, range, and standard deviation.
Related Questions
Vanessa bought a laptop at a 20% discount. The original price of the laptop was $275.00. How much money did Vanessa save?
Answers
Answer:
$55.00
Step-by-step explanation:
20% of 275 is 55. Meaning she saved 55 dollars.
Answer:
Vanessa saved $55, and she only had to pay $220.
Step-by-step explanation:
First we need to convert 20% into a decimal, 0.20.
Now we need to multiply 275 and 0.20.
275 × 0.20 = 55
275 - 55 = 220
to obtain a sense of predictability, kelly suggests that we engage in a. template matching. b. theory construction. c. scientific discovery. d. hypothesis testing.
Answers
To obtain a sense of predictability, Kelly suggests engaging in hypothesis testing (d).
Kelly's suggestion aligns with the scientific method, which involves formulating hypotheses and testing them to make predictions and gain a sense of predictability. Hypothesis testing is a systematic approach that allows us to evaluate the validity of a proposed explanation or theory.
Template matching (a) refers to a process where incoming information is compared to stored templates or patterns to identify similarities. While it may be useful in certain contexts, it does not directly address the concept of predictability or the systematic evaluation of hypotheses.
Theory construction (b) involves the development of explanatory frameworks that describe and explain phenomena. While theory construction can contribute to predictability by providing overarching explanations, it is typically preceded by hypothesis testing to validate or refine the proposed theories.
Scientific discovery (c) refers to the process of making new observations, uncovering new phenomena, or formulating novel theories. While scientific discovery plays a crucial role in expanding knowledge and understanding, it is often followed by hypothesis testing to validate or refine the newly discovered information.
Therefore, Kelly's suggestion of engaging in hypothesis testing (d) is aimed at obtaining a sense of predictability by systematically evaluating and testing hypotheses to make reliable predictions about future outcomes or observations.
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Which of the following equations in vertex form describes this graph?
-3
-2
-1
(-1,-1)
(0, 2)
Answers
An equation in vertex form that describes this graph is: A. y = 3(x + 1)² - 1
How to determine the vertex form of a quadratic equation?In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about the vertex (-1, -1) and the other points (0, 2), we can determine the value of "a" as follows:
y = a(x - h)² + k
2 = a(0 + 1)² - 1
2 + 1 = a
a = 3
Therefore, the required quadratic function is given by:
y = a(x - h)² + k
y = 3(x + 1)² - 1
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Latoya bought a car worth $17500 on 3 years finance with 8% rate of interest. Answer the following questions. (2) Identify the letters used in the simple interest formula I-Prt. P-5 ... (2) Find the interest amount. Answer: 15 (3) Find the final balance. Answer: As (3) Find the monthly installment amount. Answer: 5
Answers
To answer the given questions regarding Latoya's car purchase, we can analyze the information provided.
(1) The letters used in the simple interest formula I = Prt are:
I represents the interest amount.
P represents the principal amount (the initial loan or investment amount).
r represents the interest rate (expressed as a decimal).
t represents the time period (in years).
(2) To find the interest amount, we can use the formula I = Prt, where:
P is the principal amount ($17,500),
r is the interest rate (8% or 0.08),
t is the time period (3 years).
Using the formula, we can calculate:
I = 17,500 * 0.08 * 3 = $4,200.
Therefore, the interest amount is $4,200.
(3) The final balance can be calculated by adding the principal amount and the interest amount:
Final balance = Principal + Interest = $17,500 + $4,200 = $21,700.
Therefore, the final balance is $21,700.
(4) The monthly installment amount can be calculated by dividing the final balance by the number of months in the finance period (3 years = 36 months):
Monthly installment amount = Final balance / Number of months = $21,700 / 36 = $602.78 (rounded to two decimal places).
Therefore, the monthly installment amount is approximately $602.78.
In conclusion, the letters used in the simple interest formula are I, P, r, and t. The interest amount is $4,200. The final balance is $21,700. The monthly installment amount is approximately $602.78.
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Can 2 squares be similar?
Answers
Yes,Two Sqaure can be similar
Yes, two squares can be similar. Two squares are similar if they have the same shape but can be different sizes. This means that they have the same number of sides and the same angles, but the lengths of their sides may be different.
In order for two squares to be similar, they must satisfy the conditions for similar figures. This means that the ratio of the lengths of corresponding sides must be the same for both squares. For example, if one square has side lengths of 3 units, and the other square has side lengths of 6 units, then the two squares are similar, since the ratio of the lengths of corresponding sides is 1:2 for both squares.
However, not all squares will satisfy these conditions. For example, if one square has side lengths of 3 units, and the other square has side lengths of 5 units, then the two squares are not similar, since the ratio of the lengths of corresponding sides is not the same for both squares.
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work out the perimeter of this semicircle the radius is 11cm take π to be 3.142 and write down all of the digits given by your calculator
Answers
The answer is 34.54 cm
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: Radius=11cm
Thus circumference of the semi-circle is = πr
=3.14×11
=34.54 cm
Hence, The answer is 34.54 cm
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I need some help please just on this one thanks!
Answers
Answer:
200kg and 100kg
Step-by-step explanation:
each passenger weighs 550kg. So you subtract 550kg off for 6 people from 3,500kg, and you get 200kg total, and 100kg per car.
"AABC is acute-angled.
(a) Explain why there is a square PQRS with P on AB, Q and R on BC, and S on AC. (The intention here is that you explain in words why such a square must exist rather than
by using algebra.)
(b) If AB = 35, AC = 56 and BC = 19, determine the side length of square PQRS. It may
be helpful to know that the area of AABC is 490sqrt3."
Answers
In an acute-angled triangle AABC, it can be explained that there exists a square PQRS with P on AB, Q and R on BC, and S on AC. The side length of square PQRS is 28√3.
In an acute-angled triangle AABC, the angles at A, B, and C are all less than 90 degrees. Consider the side AB. Since AABC is acute-angled, the height of the triangle from C to AB will intersect AB inside the triangle. Let's denote this point as P. Similarly, we can find points Q and R on BC and S on AC, respectively, such that a square PQRS can be formed within the triangle.
To determine the side length of square PQRS, we can use the given lengths of AB, AC, and BC. The area of triangle AABC is provided as 490√3. The area of a triangle can be calculated using the formula: Area = 1/2 * base * height. Since the area is given, we can equate it to 1/2 * AB * CS, where CS is the height of the triangle from C to AB. By substituting the given values, we get 490√3 = 1/2 * 35 * CS. Solving this equation, we find CS = 28√3.
Now, we know that CS is the side length of square PQRS. Therefore, the side length of square PQRS is 28√3.
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This table shows the scores an archer named Janisa made in a qualifying event for an archery tournament.
Help ASAP
What are the median and the range of the scores on this chart?
The median is 4, and the range is 5.
The median is 7, and the range is 8.
The median is 8, and the range is 7.
The median is 3, and the range is 10.
Answers
Answer:
It is c
Step-by-step explanation:
The median is the middle number which is 8 and the range is the highest number minus the lowest number. The highest number is 10 and the lowest number is 3. Subtract and you will get a range of 7
Answer:
it is C
Step-by-step explanation:
.Using 20 observations, the multiple regression modely - Be +81*1 + $z*2 + was estimated. A portion of the regression results is es follows: df Significance 4.41E-08 MS 1.82E+12 1.90E+10 Regression Residual Total 53.846 SS 2.14.12 3.22E+11 2.496.12 17 19 Intercept Coefficients -986,812 29,190 29,635 Standard Error 131,222 32,277 33,334 t Stat -7.520 0.919 p-value 8.se 2.375 2.387 Lower 95% -1.263,666 -38,487 -40,694 Upper 95% -789,958 96,867 99,964 X2 2.889 a. At the 5% significance level, are the explanatory variables jointly significant? Yes, since the p-value of the appropriate test is less than 0.05. O No, since the p-value of the appropriate test is less than 0.05. Yes, since the p-value of the appropriate test is more then 0.05. O No, since the p-value of the appropriate test is more than 0.05.
Answers
At the 5% significance level, the explanatory variables jointly significant, Yes, since the p-value of the appropriate test is less than 0.05. The correct answer is A.
Based on the provided information, we need to determine whether the explanatory variables in the multiple regression model are jointly significant at the 5% significance level.
To test the joint significance of the explanatory variables, we can use the F-test. The null hypothesis for the F-test is that all the regression coefficients (except for the intercept) are equal to zero, indicating that the explanatory variables have no significant effect on the dependent variable.
The alternative hypothesis is that at least one of the regression coefficients is not zero, indicating that the explanatory variables have a joint significant effect.
In the regression results, the F-statistic is not provided, but the p-value is given as 4.41E-08 (which is equivalent to 4.41 x 10^-8). Since the p-value is less than 0.05, we can reject the null hypothesis and conclude that the explanatory variables are jointly significant at the 5% significance level.
Therefore, the correct answer is Yes, since the p-value of the appropriate test is less than 0.05.The correct answer is A.
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A medical researcher needs 7 people to test the effectiveness of an experimental drug. If 15 people have volunteered for the test, in how many ways can 7people be selected?
Answers
Given:
A medical researcher needs 7 people to test.
15 people have volunteered for the test.
To find:
We need to find a number of ways to select 7 from 15 people.
Explanation:
The number of ways to select 7 from 15 people can be found by the given formula.
\(nC_r=\frac{n!}{r!(n-r)!}\)Substitute n=1`5 and r=7 in the formula.
\(15C_7=\frac{15!}{7!(15-7)!}\)\(15C_7=\frac{15\times14\times13\times12\times11\times10\times9\times8!}{7\times6\times5\times4\times3\times2\times(8)!}\)\(15C_7=15\times13\times11\times3\)\(15C_7=6435\)Final answer:
The number of ways = 6435 ways.
Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.
Triangles E F G and J H G are connected at point G. Sides F G and and G H are congruent. Sides E F and H J are parallel.
Answers
Answer:
ASA
Step-by-step explanation:
Just cuz ik
Answer:
ASA and AAS
Step-by-step explanation:
Good luck
Current Attempt in Progress Find the coordinate vector of prelative to the basis S = {P1, P2, P3} for P2 P= 3 - 4x + 2x^2; P1 =1, P2 = x, P3 = x^3. (P)s = (___, ___, ___)
Answers
To find the coordinate vector of P relative to the basis S = {P1, P2, P3}, we need to express P as a linear combination of the basis vectors P1, P2, and P3. Given P = 3 - 4x + 2x^2, P1 = 1, P2 = x, and P3 = x^3, we want to find constants a, b, and c such that:
P = a * P1 + b * P2 + c * P3
3 - 4x + 2x^2 = a(1) + b(x) + c(x^3)
Now, we can compare the coefficients of the powers of x on both sides of the equation:
For x^0: 3 = a
For x^1: -4 = b
For x^2: 2 = 0a + 0b + 0c (since there's no x^2 term in P1, P2, or P3)
For x^3: 0 = 0a + 0b + c (since there's no x^3 term in P)
From these equations, we get a = 3, b = -4, and c = 0.
Thus, the coordinate vector of P relative to the basis S = {P1, P2, P3} is (a, b, c) = (3, -4, 0).
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Please help me I need help now please
Answers
Answer:
\(the \: third \: answer \: is \: correct\)
Solve for m:
13=2m+5
Please explain how you figured this out.
Answers
8 = 2m
m = 4
EXPLANATION:
we have to break the equation down to find m. so, first, we take care of the 5. you can subtract 5 from the right side and what you do to the right, you have to do to the left.
this gives you 8 = 2m
next, we have to get rid of the 2 in order to only have an m. this means we have to divide m and 2. and remember, what you do to one side, you have to do to the other.
so, you do 2m divided by 2, giving you m and 8 divided by 2 giving you m = 4!!
hope that helped :)
1 what is recursion? a problem solution defined in terms of a list. a problem solution defined without function calls. a problem solution defined in terms of itself. a problem solution defined iteratively.
Answers
Recursion is defined as "defining an issue in terms of itself" or "solving a problem via the solution of smaller subproblems (smaller versions of the same problem)". This concept is frequently utilized in algorithms and data structures to tackle difficult issues by partitioning them into simpler ones.
What is recursion, according to this image? a list-based definition of a problem-solving approach. a solution to a problem that does not need using functions. a solution to a problem that is specified by itself. an incrementally specified solution to a problem.
A straightforward illustration of a recursive function is the factorial, which multiplies a number by itself while lowering it slowly. Recursive functions can relate to a wide variety of self-referencing looping operations, such as those where n = n + 1 given an operational range.
Hence recursion is a problem solution defined in terms of itself.
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what is the answer to this?
Answers
Answer:
5 inches
Step-by-step explanation:
Since the length irl is 60 yards you should divide 60 by 3.
60/3=20
Then convert 1/4 to a decimal.
1/4=0.25
Finally multiply 20 and 0.25 to get the length of the park on the map.
20x0.25=5
your answer is Option F 5 inches
Please help need this ASAP!!!
Answers
Answer:
I'm sorry I don't know this
Step-by-step explanation:
Please can you try to help me
Answers
Answer:
C. 84
Step-by-step explanation:
12+15+11+20+5=63
12/63= 0.1904...
.1904 x 441= 83.96
your father pushed a 2-kg box across the floor with a net horizontal force of 10 n. what is the acceleration of the box
Answers
Answer:
5 m/s^2
Step-by-step explanation:
Force = mass x acceleration
f = ma
We have the force of 10 N and the mass of 2 kg.
10 N = 2 kg a
divide by 2 on both sides to isolate the a
a = 5 m/s^2
Answer:
\(\boxed {\boxed {\sf a= 5 \ m/s^2}}\)
Step-by-step explanation:
The formula for force is:
\(F=m*a\)
If we rearrange the formula for acceleration (a) and divide both sides by m we get:
\(\frac{F}{m}=a\)
The net force is 10 Newtons. Let's convert the units to make the problem easier later on.
1 Newton=1 kg*m/s²The net force of 10 Newtons is equal to 10 kg*m/s²The mass is 2 kilograms.
\(F=10 \ kg*m/s^2\\m= 2 \ kg\)
Substitute the values into the formula.
\(\frac{10 \ kg*m/s^2}{2 \ kg} =a\)
Divide. Note the kilograms (kg) will cancel each other out (this is why we converted the units)
\(\frac{10 \ m/s^2}{2}=a\)
\(5 \ m/s^2=a\)
The acceleration of the box is 5 meters per second squared.
When the mean and standard deviation of the process are operating such that the upper and lower control limits are acceptable relative to the upper and lower specification limits, we say the process is
Answers
The process is Capable.
According to statement
When the mean and standard deviation of the process are operating such that the upper and lower control limits are acceptable relative to the upper and lower specification limits
and when these conditions are fulfilled then the process is to be called CAPABLE.
So, The process is Capable.
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Paulo can jog 20 miles in 5 hours. At this rate, how many miles can paulo jog in 4 hours?
Answers
5x=80
x=16
Solve the inequality. Enter the answer as an inequality showing the value of
the variable to a number (like s< 1/2, or w >= 1).
3x < -93
Answers
The solution is, the inequality's value is x < -31.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
given that,
3x < -93
dividing both side by 3, we get,
x < -93/3
so, x< -31
Hence, The solution is, the inequality's value is x < -31.
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PLEASE HELP. Write an equation that represents the line. PLEASE HELP
Answers
Answer:
5/6
Step-by-step explanation:
Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line.
point: (7, 5, 5)
perpendicular to: (x-1)/10 = y+5 = (z+7)/-7
Answers
The 10(x - x₁) - (y - y₁) - 7(z - z₁) = 0, or 10x - y - 7z = 10x₁ - y₁ - 7z₁. We can write this equation as:10x - y - 7z - 10x₁ + y₁ + 7z₁ = 0or10(x - x₁) - (y - y₁) - 7(z - z₁) = 0Thus, the equation of the plane is 10(x - x₁) - (y - y₁) - 7(z - z₁) = 0, where (x₁, y₁, z₁) is the given point.
Given the line (x - 1) / 10 = y + 5 = (z + 7) / -7, we need to find the equation of the plane passing through a given point and is perpendicular to the line. This line can be written in vector form as r = (1, -5, -7) + t(10, -1, -7).We know that a plane passing through a point (x₁, y₁, z₁) and perpendicular to the line with direction ratios a, b, c has the equation a(x - x₁) + b(y - y₁) + c(z - z₁) = 0.So, let's find the direction ratios of the given line by comparing it with the standard equation of a line. We get:10x - 1 = y + 5 = -7zTherefore, the direction ratios of the line are 10, -1, and -7. Let the point through which the plane passes be (x₁, y₁, z₁). Since we know the direction ratios of the line, the normal to the plane will be the vector n = 10i - j - 7k. The equation of the plane is, therefore, 10(x - x₁) - (y - y₁) - 7(z - z₁) = 0, or 10x - y - 7z = 10x₁ - y₁ - 7z₁. We can write this equation as:10x - y - 7z - 10x₁ + y₁ + 7z₁ = 0or10(x - x₁) - (y - y₁) - 7(z - z₁) = 0Thus, the equation of the plane is 10(x - x₁) - (y - y₁) - 7(z - z₁) = 0, where (x₁, y₁, z₁) is the given point.
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you buy 6 apples for $2.70 write and equation that can be used to express the relationship between the total price t and the number of apples a you buy.
1. t= 2.70a
2. t=0.45a
3. t=6a
t= 2.22a
Answers
Answer:
The correct answer is: 2. t=0.45a
Step-by-step explanation:
Let t be the price of apples
and a be the number of apples
The price and quantity are directly proportional
\(t \propto a\)
Removing the proportionality symbol introduces a proportionality constant in the equation
\(t = ka\)
So far we know that cost of 6 apples is $2.70
Putting in the equation
\(2.70 = k (6)\\k = \frac{2.70}{6}\\k = 0.45\)
Putting the values of k will give us:
\(t = 0.45a\)
Hence,
The correct answer is: 2. t=0.45a
Writing in Slope-Intercept Form, 4 Ways
(3, 2) & (-3, -4)
Answers
Answer:
y = x +1
Step-by-step explanation:
y= mx + b
where m is the slope and b is the y-intercept
m = (y2-y1)/ (x2-x1) = 2+4 / 3+3 = 6/6 = 1
from the point -slope equation we have
y-y1 = m* (x-x1)
y-3 = 1* ( x-2)
y= x -2+3
y= x +1
so the slope m=1 and the y-intercept b=1
Question 19 Please ASAP
Answers
Answer:
D
Step-by-step explanation:
fastest way to find out the answer is to replace each solution with the xs of the equation and see if it is Equal to 4. the only solution that is equal to 4 is D)1/3
IM BEGGING I HAVE 13 OVERDUE ....
Answers
y = -x+4
y=x-2
Lets sub in for x:
y = x - 2
y + 2 = x
So lets take our second equation:
y = -(y+2)+4
y = -y - 2 + 4
2y = 2
y = 1
Now look at the second equation and sub in 1 for y:
1 = x - 2
1 + 2 = x
3 = x
This gives us A) (3,1)
Lets double check with the first equation:
1 = -3 + 4
This is right!
I hope this helps! :)
Answer:
First option: (3,1)
(The graph is attached above btw⤴⤴⤴)
Step-by-step explanation:
The solution is the point in which the two lines cross each other on a graph. So you can graph both lines, keeping in mind their slopes and y-intercepts, and see where they cross paths, exactly.
In this case, these lines cross at (3,1).
Hope this helps :)
Does anyone know the answer ?
