Abebi surveyed how many miles the students in her Algebra 1 class travel to get to school, and ended up with the following set of data: 4.75, 2.25, 3, 3.5, 1.75, 2.25, 1.5, 5, 4.5, 2.25, 2, 3, 2.65, 4.8, 3.5\
Match the measures of central tendency to the correct values.
Hint:
MEAN = Sum of the data/# of data values
MEDIAN = middle data value when values are listed least to greatest
MODE = value appearing the most times
RANGE = difference between the largest and smallest values
Answers
Answer:
Mean: 3.1
Median: 3
Mode: 2.25 appears 3 times
Range: 5 - 1.5 = 3.5
Mean = (4.75+2.25+3+3.5+1.75+2.25+1.5+5+4.5+2.25+2+3+2.65+4.8+3.5)/16
= 3.56625
Median = 3.50
Mode = 2.25
Range = 9.10
Related Questions
A furniture maker used 1/3 of a can of paint to paint some chairs. She used 1/6 of a can of paint for each chair. How many chairs did she paint?
Answers
The number of chairs painted is given by the equation A = 2 chairs
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of chairs painted = A
Now , the amount of paint used for painting A chairs = ( 1/3 ) of the can
The amount of paint used to paint one chair = ( 1/6 ) of the can
So , the equation will be
number of chairs painted x amount of paint used to paint one chair = amount of paint used for painting A chairs
Substituting the values in the equation , we get
( 1/3 ) = ( 1/6 ) A
Multiply by 6 on both sides of the equation , we get
A = ( 6 / 3 )
A = 2 chairs
Therefore , the number of chairs painted is 2
Hence , the equation is A = 2 chairs
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I need help with this it’s geometry this is my 2nd time asking for help
Answers
Answer:
The measure of angle WVX is 140°.
Step-by-step explanation:
Let x be the measure of angle WVX.
\( \frac{14}{9} \pi = 2x\)
\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)
Answer:
angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.
so, the answer is 140 degrees.
A farmer had 16 sacks of corn, to which he adds : } of a sack. How many sacks of corn does he have now?
Answers
Answer:
I think part of the problem listed above is missing?
Leslie has 6 bags of marbles. Each bag has 16 marbles. If
1
3
3
1
of the marbles are purple, how many purple marbles does Leslie have?
Answers
The quantity of purple marbles that Leslie has would be = 32 purple marbles.
How to calculate the quantity of purple marbles Lesile have?The number of bags of marbles that Leslie has = 6 bags.
The quantity of marbles that is found in each bag = 16 marbles.
Therefore the total number of marbles = 6× 16 =96 marbles.
The fraction of purple marbles that Leslie has = 1/3 of 96
Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32
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Complete question:
Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?
(04.02 LC)
What is the solution to the following system of equations?
X - 3y = 6
2x + 2y = 4
(-1, 3)
(3, -1)
(1, -3)
(-3, 1)
Answers
Answer:
The solution is
( 3 , - 1)Step-by-step explanation:
x - 3y = 6 ............ Equation 1
2x + 2y = 4 ............ Equation 2
Make x the subject in equation 1 and substitute it into equation 2
That's
x = 6 + 3y
2( 6 + 3y ) + 2y = 4
Expand and simplify
12 + 6y + 2y = 4
8y = - 8
Divide both sides by 8
y = - 1
Substitute y = - 1 into x = 6 + 3y
That's
x = 6 + 3(-1)
x = 6 - 3
x = 3
x = 3 y = - 1
( 3 , - 1)
Hope this helps you
Answer:
B. ( 3 , - 1)
Step-by-step explanation:
x - 3y = 6 Equation 1
2x + 2y = 4 Equation 2
x = 6 + 3y
2( 6 + 3y ) + 2y = 4
12 + 6y + 2y = 4
8y = - 8
y = - 1
x = 6 + 3(-1)
x = 6 - 3
x = 3
x = 3 y = - 1
( 3 , - 1)
Find the value of x in the parallelogram below.
Answers
Answer:
x = 25
y = 6
Step-by-step explanation:
In a parallelogram, opposite angles are equal.
2x and 50 are opposite angles,
2x = 50
Divide 2 on both sides,
x = 50 / 2
x = 25
In a parallelogram opposite sides are equal.
y + 5 and 11 are opposite sides,
y + 5 = 11
y = 11 - 5
y = 6
Answer:
x=25
y=6
Step-by-step explanation:
from the diagram,
2x= 50(opposite angles of a parallelogram)
2x= 50
dividing bothsides by 2
2x/2=50/2
x= 25
then,
y+5=11(opposite sides of a parallelogram)
y= 11-5
y= 6
Find the value of 8power of five
Answers
Answer:
the answer is 32,768 hopes this helps
Step-by-step explanation:
8^5 = 8x8x8x8x8 = 64x8x8x8= 64x64x8 = 4096x8= 32,768
Given the discrete uniform population: 1 fix} = E El. elseweltere .x=2.4ifi. Find the probability that a random sample of size 511, selected with replacement, will yield a sample mean greater than 4.1 but less than 4.11. Assume the means are measured to the any level of accuracy. {3 Points}.
Answers
The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.
To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.
In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.
The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.
To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.
Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.
The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.
To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).
P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
= P(X1 + X2 + ... + X511 < 4.11 * 511)
Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)
Since each value of X is 2.4, we can rewrite the probabilities as:
P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
= P(2.4 * 511 < 4.11 * 511)
Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)
Now, we can calculate the probabilities:
P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)
Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:
P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
= 1 - 1
= 0
Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.
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PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Answers
Answer:
It should be C because of the given information is just (any) x 2
Step-by-step explanation:
a flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 11 feet more than the length of the shortest side find the dimensions if the permeter is 175 feet
Answers
Answer:s + 2s + s + 14 = 158
4s = 144
s = 36
shortest side = 36
side 2 = 72
side 3 = 50
Step-by-step explanation:just think!
Express the ratio as a fraction in the simplest form:
32 pennies to 300 pennies
Answers
Answer:
8/75
Step-by-step explanation:
Ratio:
32:300
Fraction:
32/300
Simplest form(divide the numerator and the denominator by 4)
Answer: 8/75
Indigo and her children went into a restaurant and she bought $42 worth of
hamburgers and drinks. Each hamburger costs $5. 50 and each drink costs $2. 25. She
bought a total of 10 hamburgers and drinks altogether. Write a system of equations
that could be used to determine the number of hamburgers and the number of drinks
that Indigo bought. Define the variables that you use to write the system
Answers
Answer:
x+y=10
2.25x+5.50y=42
Extra: 6 hamburgers and 4 drinks
Step-by-step explanation:
x+y=10
2.25x+5.50y=42
x would stand for the drinks and y would stand for the hamburger
I do not know if you want me to solve it or not, but I might as well do so.
To solve it, you could multiply the first equation by 2.25 to get:
2.25x+2.25y=22.5
2.25x+5.50y=42
Now, if you subtract the two systems of equations, you get 3.25y=19.5, where y is equal to 6.
When you plug in 6 for y in the first equation, you should find that x is equal to 4.
In conclusion, Indigo ordered 6 hamburgers and 4 drinks.
Among all unbiased estimators that are weighted averages of Y1 ,..., Yn, the sample mean as an estimator of the population means is:
Select one alternative:
An estimator with lower sampling variances.
An estimator with a higher sampling variance.
The only consistent estimator.
The most unbiased estimator.
Answers
Among all unbiased estimators which are weighted averages of Y₁, ..., Yₙ, the sample mean as an estimator of population mean is an estimator with lower sampling variances.
The sample mean is known to be an unbiased estimator of the population mean.
Which means that on average, it provides an estimate that is equal to the true population mean.
However, when considering estimators that are weighted averages of the observations.
The sample mean tends to have lower sampling variances compared to other unbiased estimators.
Lower sampling variance is desirable because it indicates less variability in the estimates obtained from different samples.
A lower sampling variance implies that the sample mean is likely to be closer to the population mean, providing a more precise estimate.
Therefore, among unbiased estimators that are weighted averages, sample mean stands out as having a lower sampling variance.
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how many solutions -(3 - 6b) = 6b + 5
Answers
Answer:
There are no solutions
Steps :
First we expand it
\(-3+6b=6b+5\)
Then we add 3 to both sides
\(-3+6b+3=6b+5+3\)
Then we simplify
\(6b=6b+8\)
Then we subtract 6b from both sides
\(6b-6b=6b+8-6b\)
Simplify
\(0=8\)
No solutions !
The area of a square garden is 72 m2. How long is the diagonal?
Answers
Use the Implicit Function Theorem to find the derivatives: a. Find dy/dx for the equation √xy = cos(xy) b. Find both partial derivatives ∂z/∂x and ∂z/∂y for the equation e^xyz + xy = xyz²
Answers
Therefore, ∂z/∂x = (-yze^xyz - y + 2xyz) / (xye^xyz - 1) and ∂z/∂y = (-xze^xyz - x + 2xyz) / (xye^xyz - 1)
a) Find dy/dx for the equation √xy = cos(xy)
Using Implicit Function Theorem to find dy/dx as follows:
Let f(x, y) = √xy - cos(xy) be an equation.
Since f(x, y) = 0, we have to find dy/dx.
∂f/∂x = ∂/∂x(√xy - cos(xy))
= (1/2)*1/√xy - y*sin(xy) and
∂f/∂y = ∂/∂y(√xy - cos(xy))
= (1/2)*1/√xy - x*sin(xy)
We now express dy/dx as follows:
dy/dx = -∂f/∂x / ∂f/∂y
Therefore,dy/dx = (y*sin(xy)) / (x*sin(xy))
=-y/x
Find both partial derivatives ∂z/∂x and ∂z/∂y for the equation e^xyz + xy = xyz²
Using the Implicit Function Theorem, we have to find the partial derivatives ∂z/∂x and ∂z/∂y.
Therefore, we let f(x, y, z) = e^xyz + xy - xyz² be an equation.
Let g(x, y) = e^xyz + xy - xyz² - z and g(x, y, z) = 0 (this is just re-writing the equation).
∂g/∂x = ∂/∂x(e^xyz + xy - xyz² - z)
= yze^xyz + y - 2xyz∂g/∂y
= ∂/∂y(e^xyz + xy - xyz² - z)
= xze^xyz + x - 2xyz∂g/∂z
= ∂/∂z(e^xyz + xy - xyz² - z)
= xye^xyz - 1
By Implicit Function Theorem, we can find both partial derivatives ∂z/∂x and ∂z/∂y.
We now find ∂z/∂x and ∂z/∂y:
∂z/∂x = - (∂g/∂x / ∂g/∂z)
= (-yze^xyz - y + 2xyz) / (xye^xyz - 1) and
∂z/∂y = - (∂g/∂y / ∂g/∂z)
= (-xze^xyz - x + 2xyz) / (xye^xyz - 1)
Hence, the solution is ∂z/∂x = (-yze^xyz - y + 2xyz) / (xye^xyz - 1) and ∂z/∂y = (-xze^xyz - x + 2xyz) / (xye^xyz - 1)
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find 1/2 of $39
please don't say random words.
thank you!
Answers
$39 divided by 2 is $19.50
- hope this helps ♡
A roadrunner is a desert bird that tends to run instead of fly. While running, the roadrunner uses its tail as a balance. A sample of 10 roadrunners was taken, and the birds’ total length, in centimeters (cm), and tail length, in cm, were recorded. The output shown in the table is from a least-squares regression to predict tail length given total length. Suppose a roadrunner has a total length of 59.0 cm and tail length of 31.1 cm. Based on the residual, does the regression model overestimate or underestimate the tail length of the roadrunner?
O Underestimate, because the residual is positive.
O Underestimate, because the residual is negative.
O Overestimate, because the residual is positive.
O Overestimate, because the residual is negative.
O Neither, because the residual is 0.
Answers
The regression model (A) underestimates the data based on it since the residual is positive.
What is a regression model?When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method.
Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.
The statistical link between a dependent variable and one or more independent variables can be ascertained using regression.
The independent variable's change is connected to the independent variable's change.
Two major sorts can be broadly distinguished from this. A linear regression. Regression using logit.
A roadrunner's total length and tail length in the given situation is 59.0 cm and 31.1 cm, respectively.
Because the residual is positive, the regression model underestimates the data based on it.
Therefore, the regression model (A) underestimates the data based on it since the residual is positive.
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Correct question
A roadrunner is a desert bird that tends to run instead of fly. While running, the roadrunner uses its tail as a balance. A sample of 10 roadrunners was taken, and the birds’ total length, in centimeters (cm), and tail length, in cm, were recorded. The output shown in the table is from a least-squares regression to predict tail length given total length. Suppose a roadrunner has a total length of 59.0 cm and tail length of 31.1 cm. Based on the residual, does the regression model overestimate or underestimate the tail length of the roadrunner?
a. Underestimate, because the residual is positive.
b. Underestimate, because the residual is negative.
c. Overestimate, because the residual is positive.
d. Overestimate, because the residual is negative.
e. Neither, because the residual is 0.
solve 5(×+2)=3×+5.
Answers
Answer:
5 (not real answer)
Step-by-step explanation:
you solve it :)
The ratio table below shows the number of miles Shondra drove in a car for certain amounts of time during a road trip. Driving Distance Hours Driven Miles Driven 1 60 2 120 3 180 4 ? If Shondra traveled the same number of miles each hour, how many miles did she travel in 4 hours?
Answers
Answer:
Step-by-step explanation:
u take 2(64)-600-94 then u get 120
Answer:
240
Step-by-step explanation:
i had a stroke reading the one above me but i took the test:)
Which is equivalent to 3/125
Answers
Answer:
6/250, 9/375, etc...
Step-by-step explanation:
multiply(GIANT ONE)
3/125 x 2/2 = 6/250
3/125 x 3/3 = 9/375
What is 9 less than the product of 6 and a number x?
Answers
Answer:
6x - 9
Step-by-step explanation:
the product of 6 and a number x: 6x
9 less than the product...: - 9
6x - 9
What is the distance between tow points (1,5)(-8,4)
Answers
Answer:
\(\displaystyle d = \sqrt{82}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Identify
Point (1, 5)
Point (-8, 4)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: \(\displaystyle d = \sqrt{(-8-1)^2+(4-5)^2}\)[√Radical] (Parenthesis) Subtract: \(\displaystyle d = \sqrt{(-9)^2+(-1)^2}\)[√Radical] Evaluate exponents: \(\displaystyle d = \sqrt{81+1}\)[√Radical] Add: \(\displaystyle d = \sqrt{82}\)I need a explanation and a answer to the problem plzzz
Answers
When multiplying the 2 and the -12 it would be -24, not 24. Which if my mental math is correct, would make the answer 6
Edit:
Note that subtracting a negative is the same as adding the absolute value.
so:
-24-(-30)
changes to
-24+30
and it equals
6
pleasee i need help this due today please show work/explanation
Answers
Answer:
Answer is Large Jar = $30.22 and Small Jar = $8.01
Step-by-step explanation:
Formula is V = pi* r^2 * h
Large Jar.) V = 3.14 * 5^2 * 7 V = 549.5inches cubed
Small Jar.) V = 3.14 * 3^2 * 4.5 V = 127.17inches cubed
Then multiple each answer by the cents per Unit they cost
Large Jar.) 549.5 * .055 = $30.22
Small Jar.) 127.17 * .063 = $8.01
Hope this is right
The owners of a motel in Florida have noticed that in the long run, about 40% of the people who stop and inquire about a room for the night actually rent a room. (a) How many inquires must the owner answer to be 99% sure of renting at least one room? inquiries (b) If 20 separate inquiries are made about rooms, what is the expected number of inquiries that will result in room rentals? inquiries
Answers
Answer:
(a) n = 9 inquiries
The owner must answer 9 inquiries to be 99% sure of renting at least one room.
(b) E(x) = 8 inquiries
Therefore, the expected number of inquiries that will result in room rentals is 8.
Step-by-step explanation:
The given problem can be solved by Binomial distribution.
Let x be the people who stop and inquire about a room for the night actually rent a room.
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
(a) How many inquires must the owner answer to be 99% sure of renting at least one room?
For the given case, we have p = 0.40 and we want to find n such that
P(x ≥ 1) = 0.99
we know that
P(x ≥ 1) = 1 - P(x < 1)
P(x ≥ 1) = 1 - P(x = 0)
So,
1 - P(x = 0) = 0.99
P(x = 0) = 1 - 0.99
P(x = 0) = 0.01
For x = 0 and p = 0.40
P(x = 0) =(ⁿC₀) (0.40)⁰ (1 - 0.40)ⁿ⁻⁰
0.01 = (1)(1)(0.60)ⁿ
0.01 = 0.60ⁿ
ln(0.01) = ln(0.60ⁿ)
ln(0.01) = n ln(0.60)
n = ln(0.01)/ln(0.60)
n = 9.01
Rounding off to nearest whole number
n = 9 inquiries
Therefore, the owner must answer 9 inquiries to be 99% sure of renting at least one room.
(b) If 20 separate inquiries are made about rooms, what is the expected number of inquiries that will result in room rentals?
The expected number of inquiries is given by
E(x) = n×p
For the given case, we have n = 20 and p = 0.40
E(x) = 20×0.40
E(x) = 8 inquiries
Therefore, the expected number of inquiries that will result in room rentals is 8.
Below are two parallel lines with a third line intersecting them.
34°
Answers
Answer:
x = 34°
Step-by-step explanation:
corresponding angles made by a transversal intersecting parallel lines are congruent.
what are all the values of c that will make x^2 cx 121 a perfect square ?
Answers
Answer:
c = -22, 22
Step-by-step explanation:
\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)
\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)
what is the quotient of the expression
\( \frac{21a {}^{3} b - 14ab {}^{2} + 7ab}{7ab} \)
Answers
What is the slope of the line represented by the equation 3x-4y=7?
mostly i just need an explanation for this for SAT prep, but an answer would be helpful as well. Thanks!
Answers
Using the standard form of the equation of line, the slope of the line represented by the equation 3x-4y=7 is 3/4.
In the given question,
We have to find the slope of the line represented by the equation 3x-4y=7.
The given equation is 3x-4y=7.
To find the slope we first express the given equation in the form of standard equation of line.
The standard form of equation is y=mx+c where m is slope of the equation.
Now expressing the equation in standard form.
3x-4y=7
Subtract 3x on both side
3x-4y-3x=7-3x
-4y=7-3x
Divide by -4 on both side
-4/-4 y=7/-4 - (-3)/(-4) x
Simplifying
y=3/4x-7/4
Now comparing from the standard equation to find the slope(m).
m = 3/4
Hence, the slope of the line represented by the equation 3x-4y=7 is 3/4.
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