Find the median and mean of the data set below:
20, 46, 20, 26

Answers

Answer 1
mean : 28 median : 23

Related Questions

as long as you are working with the same variables, it does not matter whether or not you average the data over every month versus every year; the correlation will be the same. group of answer choices true false

Answers

The given statement is true.

What is variables?

In statistical modelling, experimental sciences, and mathematical modelling, there are dependent and independent variables. Dependent variables are so named because they are researched in an experiment under the assumption or requirement that they are dependent on the values of other variables according to some rule or law.

The given statement is true.

It does not matter whether we average the data across every month or every year as long as the variables are the same; the correlation will remain the same. Since the correlation coefficient r is a unitless metric, the time variable has no effect on it.

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Which postulate proves the two triangles congruent?
A. SSS
B. SAS
C. ASA
D. AAS

Answers

Answer:

A. SSS

Step-by-step explanation:

Triangle ADT and triangle TDE are congruent triangles by SSS postulate.

Sides DE and DA, sides TE and TA are congruent (DT is common side).

So the answer is A. SSS

This is a financial mathematics problem that I need help with

Answers

SOLUTION

Carrie's credit card was stolen, she was charged $ 2,000

Hence carrier's is responsible for paying $2,000

ANYONE WHO ANSWERS ILL GIVE BRAINLIEST TO
finding the slope

Answers

Answer:

slope = 50

Step-by-step explanation:

Equation of slope of line is

y = mx + b

where m = slope and b = y-intercept which is the y-value for the point at which the line crosses the y-axis

In the graph you can see that the line crosses at (0,0)

So y-intercept is 0

Equation is y = mx

To find m

take two points on the line and calculate rise/run

rise = difference in y-values

run = difference in x-values

Points(0,0) and 1, 50) lie on the line

rise = 50 - 0 = 50

run = 1-0 = 1

slope = 50 /1 = 50

The answer is 1/50
Explanation : Because i know

The width of a rectangle is 3 units less than the length. The area of the rectangle is 18
units. What is the length, in units, of the rectangle?

Answers

Answer:

First let the length be a variable (eg: x) so that we can form an expression and solve.

Let the length of the rectangle be x units.

Form an expression for the width of the rectangle using the information given.

Width = (x - 3) units

Area of rectangle = length x width

Using the formula, form an equation.

x(x - 3) = 18

Simplify and solve for x.

x² - 3x = 18

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

x - 6 = 0 or x + 3 = 0

x = 6 or x = - 3 (reject)

The length cannot have a negative value so reject - 3.

Hence, the length of the rectangle is 6 units.

What is the value of the missing segment? there is a ? , 4., 5 and 10​

Answers

Step-by-step explanation:

I assume the ? is the left leg of the left triangle.

the middle line (right leg of the smaller left triangle, and the left leg of the larger right triangle) bisects the top angle of the main large triangle (because the top angles left and right from the middle line are equal).

that means per the angle bisector theorem

5 / 4 = 10 / ?

5 = 10×4/? = 40/?

?×5 = 40

? = 40/5 = 8

5Eleri has this information about holiday activities.Activity SurfingTime 1 hourCost £38Activity Horse ridingTime 4 hoursCost £45Activity ClimbingTime 3 hoursCost £40Eleri wants to show this information in a table.Organise the information in a table.(1)

Answers

Organise the information in a table.

the time to failure of a television tube is estimated to be exponentially distributed with a rate of 3 per year. a company offers insurance on these tubes for the first year of usage. on what percentage of policies will they have to pay a claim?

Answers

On 4.98% of the policies, they will not have to pay a claim.

The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur. What are the chances of receiving a head, for instance, when we toss a coin in the air? The number of outcomes that could occur is the basis for the response to this question. The outcome in this case might be either head or tail. Therefore, there is a 50% chance that the result will be 1 / 2 head.

λ = 3 per year

To avoid having to pay a claim for these tubes, we need to determine the likelihood that they will live longer than a year.

Given by: The likelihood of tubes lasting longer than a year is

P(x > 1) = e^-λ*x

P(x > 1) =  e³*¹ = 0.04978

Therefore, they won't be required to pay a claim on 4.98% of the policies.

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Please help me, it is important

Answers

Examining the given figure it can be calculated that

GI = 15 unitsm<  IEH = 65 degrees How to get the required angel and length of side in the given figure

Given that

EI = 2x + 1

FH = 3x + 9

m< FIG = 50 degrees

The length of diagonals of rectangles are equal and when they bisect each other the divide each other into equal halves

EI is the half of FH, therefore we have that

( 3x + 9 ) / 2 = 2x + 1

3x + 9 = 2(2x + 1)

3x + 9 = 4x + 2

9 - 2 = 4x - 3x

7 = x

GI = EI (half diagonal of rectangle are equal)

GI = 2 * 7 + 1

= 15

m< FIG = 50 degrees = m<  EIH (vertical opposite angles)

m<  EIH + m<  IEH + m< IHE = 180

m<  IEH = m< IHE = y (base angles of isosceles triangle)

m<  EIH + 2y = 180

50 + 2y = 180

2y = 180 - 50

2y = 130

y = 65 degrees

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Find 3 ratios that are equivalent to 5:13

Answers

10:26, 20:52, 40:104

rotate the figure 90 degrees clockwise around the origin?indentify the coordinates of the vertices of the rotated figure?

Answers

first write the coordinates

A (5,8)

B(9,8)

C(9,5)

D(5,5)

to rotate 90 degrees clockwise you must swap coordinates I mean change x for y and change the sign of the secon term or the new y

A(5,8)-->A'(8,-5)

B(9,8)-->B'(8,-9)

C(9,5)-->C'(5,-9)

D(5,5)-->D'(5,-5)

p = q - r + s. solve for q

Answers

Answer:

if you can't read my pic the answer is: p+r-s=q

Step-by-step explanation:

q = p + r - s
hope this helped!

Good Morning please help outt

Answers

The solution to the inequality given as 3 - x/2x + 1 ≥ 2 is (-oo, -1/2) u [1/5, oo]

How to determine the solution to the inequality?

The inequality expression is given as

3 - x/2x + 1 ≥ 2

Cross multiply in the above inequality

So, we have

3 - x ≥ 2(2x + 1)

Open the brackets in the inequality

So, we have

3 - x ≥ 4x + 2

Collect the like terms

4x + x ≤ 3 - 2

Evaluate the like terms

5x ≤ 1

Divide by 5

x ≤ 1/5

Because of the denominator 2x + 1, we have

x > -1/2

This means that the solution is (-oo, -1/2) u [1/5, oo]

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Which set of ordered pairs is a
function?
A. (-2,4), (0, 4), (2, 4), (2,6)}
B. {(-10, 4), (-8, 3), (-8, 2), (-4,1))
C. {(1, 5), (1, 6), (2,7), (3, 8))
D. Of(-1, 1), (0, 0), (1, 1), (2, 2))

Answers

A set of ordered pairs that contain only unique ordered pairs with unique x coordinates exists directed to as a function.

The set of ordered pairs is a function exists {(1, 5), (1, 6), (2,7), (3, 8)}.

What is meant by function?

A set of ordered pairs that contain only unique ordered pairs with unique x coordinates exists directed to as a function. A function is defined by an equation that generates a set of ordered pairs. Each x value in a relation must have a unique value for the y value for it to be a function. if there are multiple y-values associated with an x-value.

Because no two ordered pairs have the same first coordinates with the same second coordinates, the initial set of ordered pairs is a function.

A relationship and a function vary in that a relationship can have multiple outputs for a single input, whereas a function only needs one input to produce one outcome. This is the fundamental criterion used to distinguish between relation and function. These model concepts are created through the usage of relations.

Therefore, the correct answer is option C. {(1, 5), (1, 6), (2,7), (3, 8)}.

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SHOW YOUR WORK

2 x 1/4 =

Answers

Answer:

2 times 1/4 = 1/2 or 0.5

Step-by-step explanation:

Step 1: Setup

First of all, note that 2 is the same as 2/1 since 2 divided by 1 is 2. Therefore, start by setting up the problem like this:

2/1 x 1/4

Step 2: Multiply

Multiply the numerators together (2 x 1 = 2) and multiply the denominators together (1 x 4 = 4) and make it into one fraction like so:

2/4

Step 3: Minimize

The greatest common factor of 2 and 4 is 2. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get the answer as follows:

1/2

Pls pls helpp due today!

Answers

The perpendicular linear equation that passes through (8, 2) is:

y = x - 6

How to find the perpendicular line?

A general linear equation is of the form:

y = m*x + b

Where m is the slope.

Two lines are perpendicular only if the product between the slopes is equal to -1.

Here we start with the line:

y = -x

So the slope is -1.

Then the slope of the perpendicular line m must be:

-1*m = -1

m = -1/-1 = 1

Then the perpendicular line is something like:

y = x + b

And we want this to pass through (8, 2), replacing these values we get:

2 = 8 + b

2 - 8 = b

-6  =b

The linear equation is:

y = x - 6

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A bag of 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. what is the ratio of the number of blue marbles to the number of marbles that are orange or green?

Answers

The ratio of the number of blue marbles to the number of marbles that are orange or green is 1 : 3.

Ratio is defined as the relationship between two quantities. It can be expressed as a to b, a/b, or a : b.

Let a = total number of blue marbles

b = total number of orange and green marbles

If the total number of blue marbles is 5 and the total number of orange and green marbles are 9 and 6, respectively, then the ratio is 5 to (9 + 6).

Simplify the ratio.

5 : (9 + 6) = 5 : 15 = 1 : 3

Hence, the ratio is 1:3.

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The instructions on a jar of instant coffee say to add 5 cups of water to every 4 tablespoons of coffee granules. How many cups of water are needed for 10 tablespoons of coffee granules?

Answers

Answer:

12.5 cups

Step-by-step explanation:

10/4 = 2.5

2.5 × 5 = 12.5

12.5 cups

a restaurant employs 16 people, 8 of whom are women. if five employees are chosen randomly to receive tickets to a concert, what is the probability (to two decimal places) that three of them will be women? use the hypergeometric distribution.

Answers

The probability that 3 of the people chosen would be women = 0.36.

Probability is basically a numerical description of how likely an event is supposed to happen. It is a number something between 0 and 1.

total number of people = 16

total number of women = 8

number of chosen employees randomly to receive tickets to a concert = 5

probability to find = that 3 of them will be women

Therefore, we can conclude that the probability of 3 of the chosen people will be women is 0.36.

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Subtract and simplify:
PLEASE HELP ASAP
5 1/3 − 4 5/6 = _____
Responses
A 1 2/3
B 1 4/6
C 1/2
D 3/6

Answers

Answer:

C. 1/2

Hope this helps!

[tex]\boxed{\boldsymbol{\sf{5\frac{1}{3}\times4\frac{5}{6} }}}[/tex]

Multiply 5 and 3 to get 15.

[tex]\boxed{\boldsymbol{\sf{\dfrac{15+1}{3}-\left(\frac{4\times6+5}{6}\right) }}}\boldsymbol{\longmapsto \ Add \ [15+1]}[/tex]

[tex]\boxed{\boldsymbol{\sf{\dfrac{16}{3}-\left(\frac{4\times6+5}{6}\right) }}}\boldsymbol{\longmapsto \ Multiply \ [4*6+5]}[/tex]

[tex]\boxed{\boldsymbol{\sf{\dfrac{16}{3}-\left(\frac{29}{6}\right) }}}[/tex]

Convert fractions prior to fractions with equal denominators.

[tex]\boxed{\boldsymbol{\sf{\frac{32}{6}-\dfrac{29}{6}=\frac{32-29}{6}=\frac{3}{6}=\dfrac{3\div3}{6\div3}=\frac{1}{2} }}}[/tex]

The answer is 1/2, therefore the alternative is correct is option C.

simplify the expression then write a rule for the pattern (√t)² ​

Answers

The expression of  (√t)² ​is t.

What are square and square roots?

A number can be squared, but it can also be divided into its square root. The value we get from multiplying a number by itself yields its square value, whereas the value we get from finding a number that, when squared, yields the original value of the number yields its square root value. In the event that 'a' is the square root of 'b,' then a a = b. Any number has two square roots, one with a positive value and the other with a negative value, because any number's square is always a positive number. As an illustration, the square root of 4 has the values 2 and -2. A number's power 1/2 value is represented by a number's square root. In other words.

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What is the image point of (-7,3) after the transformation rx-axis o R180º?

Answers

[tex]r_{x-axis}\circ R_{180}[/tex]

In a composite transformation as given you make first the transformation in the right and then the transformation in the left.

For the given point: (-7, 3)

1. Rotation 180°

[tex]\begin{gathered} P(x,y)\rightarrow P^{\prime}(-x,-y) \\ \\ P(-7,3)\rightarrow P^{\prime}(7,-3) \end{gathered}[/tex]

2. Reflection over x-axis:

[tex]\begin{gathered} P^{\prime}(x,y)\rightarrow P^{\prime}^{\prime}(x,-y) \\ \\ P^{\prime}(7,-3)\rightarrow P^{\doubleprime}(7,3) \end{gathered}[/tex]Then, the image of given point after the composite transformation is (7,3)

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?



First equation:

Second equation:

The first equation should be multiplied by 3 and the second equation by -5.
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 7 and the second equation by -6.
The first equation should be multiplied by 7 and the second equation by 6.

Answers

Answer: the answer is c)The first equation should be multiplied by 7 and the second equation by -6.

Step-by-step explanation:edge 2022

Answer:

C

Step-by-step explanation: -6

a scientist runs an experiment involving a culture of bacteria. she notices that the mass of the bacteria in the culture increases exponentially with the mass increasing by 229% per week. what is the 1-week growth factor for the mass of the bacteria? what is the 1-day growth factor for the mass of the bacteria? by what percent does the mass of bacteria increase by each day? % if the mass of the bacteria instead increased by 453% per week, by what percent would the mass increase by

Answers

The 1-week growth factor for the mass of the bacteria is 3.29.

The 1-day growth factor for the mass of the bacteria is 1.185.

The percentage increase in the mass of bacteria is 18.5%.

The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.

The 1-week growth factor for the mass of the bacteria is 1 + (229%*1).

The 1-week growth factor for the mass of the bacteria is 3.29.

The 1-day growth factor for the mass of the bacteria is (3.29)^(1/7).

The 1-day growth factor for the mass of the bacteria is 1.185.

The percentage increase in the mass of bacteria is 18.5%.

The new 1-week growth factor for the mass of the bacteria is 1 + (453%*1).

The new 1-week growth factor for the mass of the bacteria is 5.53.

The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is (5.53)^(1/7).

The 1-day growth factor for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 1.277.

The 1-day growth percent for the mass of the bacteria if the mass of the bacteria increased by 453% per week is 27.7%.

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Simplify -1(15+4 - 27) over 16

Answers

[tex] \frac{ - 1(15 + 4 - 27)}{16} \\ = \frac{ - 1(19- 27)}{16} \\ = \frac{ - 1( - 8)}{16} \\ = \frac{8}{16} \\ = 0.5[/tex]

ATTACHED IS THE SOLUTION

Answer:

= - 19 + 16^27

The log flume ride lasts 8 minutes. This amount of time is one minute more than twice the length of time for the teacup ride.
How long does the teacup ride last?

Answers

The time for the teacup to last is D. m = 3.5 minutes.

What is an expression?

An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of minutes be m.

The amount of time is one minute more than twice the length of time for the teacup ride. This will be:

= (2 × m ) + 1 = 8

2m - 1 = 8

Collect like terms

2m = 8 - 1

2m = 7

Divide

m = 7/2

m = 3.5

The correct option is D.

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Answer:

d) m = 3.5 minutes

Step-by-step explanation:

Now we have to,

→ find the time the teacup ride last.

Forming the equation,

→ 2m + 1 = 8

Then the value of m will be,

→ 2m + 1 = 8

→ 2m = 8 - 1

→ m = 7/2

→ [ m = 3.5 min ]

Hence, ride lasts for 3.5 min.

z + mx = yx Solve for x

Answers

Answer:

[tex]X=\frac{-z}{m-y}[/tex]

Step-by-step explanation:

If Fx) = x-5 and G(x) = x2 , what is G(F(x))?

Answers

Explanation:

Given the functions

f(x) = x-5

G(x) = x^2

We are to find the composite function G(f(x))

Solve system of equation by substitution

7y=-2x+5
3x+10y=6

Answers

Answer:

x= -8/41

y= 27/41

Step-by-step explanation:

7y=2x+5

3x+10y=6

maybe divide all parts of first equation by 7 to leave y by itself: y=2/7x+5/7

Then plug that in for y in the second equation:

3x+10(2/7x+5/7)=6

Then just solve for x:

x= -8/41

Substitute value of x into first equation:

7y=2(-8/41)+5

Solve for y:

y=27/41

In systems of equations, the values of x and y are -8 and 3, respectively.

Given systems of equations are:

7y=-2x+5 .....(i)

3x+10y=6 .....(ii)

We want both equations to be in standard form (Ax + By = C) so we need to fix the first equation.

For the equation (i), simply add 2x from both sides, so that x & y are on the same side of the equal sign

2x + 7y = 5 .....(i)

3x + 10y = 6 .....(ii)

To get the same x value in both equations (i) and (ii), we must now multiply equation (i) by 3 and equation (ii) by 2.

3(2x + 7y = 5) .....(i)

2(3x + 10y = 6) .....(ii)

Simplify.

6x + 21y = 15 .....(i)

6x + 20y = 12 .....(ii)

Now, subtract equations (ii) from (i)

y = 3

Now, substitute value of y = 3 in equation (i).

2x + 7y = 5 .....(i)

2x + 7(3) = 5

2x + 21 = 5

Then, subtract 21 from both sides.

2x + 21 - 21  = 5 - 21

2x = - 16

Divide both sides by 2.

2x / 2 = - 16 / 2

x = -8

So, x = -8 & y = 3

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Rewrite 20 − 4x3 using a common factor.

Answers

Using a common factor, 20 - 4x³ can be rewritten as 4(5 - x³).

What is a Common Factor?

A common factor of two or more numbers is any number that the two numbers can be divided by and will leave no remainder.

For example, a common factor of 4 and 8 is 2. This is because:

2 into 4 will give us 2 without a remainder.

2 into 8 will give us 4 without a remainder.

To rewrite the expression, 20 - 4x³ using a common factor, find the factor that will go into each of the terms without a remainder.

4 into 20 will give us 5 without a remainder.

4 into 4x³ will give us x³ without a remainder.

Therefore, we can factor out the common factor from the expression to rewrite 20 - 4x³ as 4(5 - x³).

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