Here is a list of numbers.
32 29
20
30
37
34
33
31
Tanya thinks that to work out the median, she simply needs to find
the middle number. So she says that "37" is the median for this list of numbers.
Tanya's answer is not correct.
a) Describe what is wrong with her method.
b) Work out the median of the numbers in the list.

Answer:

[tex]r=0.05[/tex]

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

A is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=3\ years\\ P=\$3,000\\I=\$450\\r=?[/tex]

substitute in the formula above

[tex]450=3,000(3r)[/tex]

solve for r

[tex]450=9,000(r)[/tex]

[tex]r=450/9,000[/tex]

[tex]r=0.05[/tex]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.  

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm  

Hence,

[tex]{AB}^2 = (a -1)^2[/tex] 

Now We know that

[tex](a- b)^2 = a^2+b^2 - 2ab[/tex]

So;

[tex]{AB}^2= a^2 + 1^2 -2\times a \times1[/tex]

[tex]{AB}^2 = a^2 + 1 -2a[/tex]

Now;

[tex]{BC}^2 = (2\sqrt{a})^2= 4a[/tex]

Also;

[tex]{CA}^2 = (a + 1)^2[/tex]

Now We know that

[tex](a+ b)^2 = a^2+b^2 + 2ab[/tex]

[tex]{CA}^2= a^2 + 1^2 +2\times a \times1[/tex]

[tex]{CA}^2 = a^2 + 1 +2a[/tex]

[tex]{CA}^2 = AB^2 + BC^2[/tex]

[By Pythagoras theorem]

[tex]a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a[/tex]

Hence, [tex]{CA}^2 = AB^2 + BC^2[/tex]

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

Answer:

719

Step-by-step explanation:

ones place is 8 and we add 1 if the right hand number is 5 or greater than 5.

Answer:

The answer is 719

Step-by-step explanation:718.521 when rounded up to the nearest one be comes 719 because .5 is converted to 9. Thanks

Answer:

Step-by-step explanation:

The GCF is the common "thing" in each one of the terms in our polynomial.  Since 3 doesn't divide evenly out of 10, 3 is not a GCF.  But b-squared is common in both.  So for part A. the GCF is b-squared.

part B.  Factor out the GCF:

[tex]b^2(3b+10)=0[/tex]

For part C. What are the solutions?  The solutions are found in the Zero Product Property which states that if the factors of a polynomial, when multiplied together, equal 0, then either one of the factors or both of the factors have to equal 0 because 0 times anything equals 0.  That means that

[tex]b^2=0[/tex] and/or 3b + 10 = 0

Solving the first equation:

[tex]b^2=0[/tex] and b = 0.

Solving the second equation:

3b + 10 = 0 and

3b = -10 so

[tex]b=-\frac{10}{3}[/tex]

Answer:

216

Step-by-step explanation:

Multiply 80x270, which gives you 21,600, then move the decimal at the end of the number two times to the left and you'll get 216

Answer:

32 is 99% of 33 cause 33 is 100% of 33

Step-by-step explanation:

Step-by-step explanation: First we have "what number" which we can represent by the variable x. Next we have is which means "is equal to" so we write an equals sign, then we have 99% which we need to write as a decimal so we move the decimal point 2 places to the left to get 0.99 and "of 33" means times 33.

Now we have the following equation.

X = (.99)(33)

Option A is correct, A shows a mapping diagram which represents a function from x → y

A relation is a function if it has only One y-value for each x-value.

A mapping diagram that represents a function from x to y is a diagram that shows a set of ordered pairs (x, y), such that each x-value has exactly one corresponding y-value

For option A, the ordered pairs are (4, 5)(5,5),(6,1),(8,2).

For each value of x there is only one value of y or else the values of x are not repeated so the diagram represents a function.

In other option the x has 2 values of y.

Hence, option A is correct, A shows a mapping diagram which represents a function from x → y

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ6

A mapping diagram that represents a function from x → y include the following: A. mapping diagram A.

In Mathematics, a function is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (Set A) to an output variable (Set B).

Based on the mapping diagram shown above, we can reasonably infer and logically deduce that the inputs (4, 5), (5, 5), (6, 1), and (8, 2) are ordered pairs that represents a function because they indicate unique mappings of each input value to an output value.

Read more on function here: brainly.com/question/3632175

#SPJ3

Answer:

The amount of electricity bill is $52.60.

Step-by-step explanation:

Given:

Victoria whit used 578 kwh of electricity.

The rate is 9.1 cents per kw-hr.

Now, to find the amount of her electric bill.

Electricity used = 578 kwh.

Rate of electricity = 9.1 cents per kw-hr.

So, to get the amount we multiply the electricity used by the rate of electricity:

[tex]Amount\ of\ electric\ bill=Electricity\ used\times rate\ of\ electricity[/tex]

[tex]Amount\ of\ electric\ bill=578\ kwh\times 9.1\ cents[/tex]

[tex]Amount\ of\ electric\ bill=5259.8\ cents.[/tex]

Thus, the amount of electricity bill = 5259.8 cents.

Now, converting the amount from cents to $ by dividing:

$1 = 100 cents.

So, 5259.8 cents ÷ 100 = $52.60 .

therefore, the amount of electricity bill is $52.60.

Answer:

11

Step-by-step explanation:

2x11 equals 22, and that plus 5 is 27

Answer:

None of these

Step-by-step explanation:

A perpendicular bisector is a segment which intersects a given segment at a 90° angle, and passes through the given segment's midpoint. Since point T divides segment SU into two parts with lengths 46 and 62 units, VT is not a perpendicular bisector.

A median of the triangle is a segment joining a vertex to the midpoint of the opposite side. Since point T divides segment SU into two parts with lengths 46 and 62 units, VT is not a median.

An altitude of the triangle is a segment passing through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). The diagram doesn't show the right angle at point T (VT is not perpendicular to SU), then VT is not an altitude.

Thus, option None of These is true.

Answer:

It's C.

Step-by-step explanation:

x + y + x + y + 3(y + 5)

= x + y + x + y + 3y + 15

= 2x + 5y + 15.

Answer:

2x + y + 30

C.

To find the missing number so that the equation has infinitely many solutions, subtract -2x from both sides to eliminate x and find that the missing number can be any real number.

To find the missing number so that the equation has infinitely many solutions, we need to look at the given equation: -2x - 10 = -2x + c. Since the variable x is present on both sides, we can subtract -2x from both sides to get rid of it. This leaves us with -10 = c. In order for this equation to have infinitely many solutions, the missing number c can be any real number.

https://brainly.com/question/35171960

#SPJ2

Answer:

C. x – 7

E. x + 2

Step-by-step explanation:

Answer:

C. and E. on edge

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

10 - 2 = 8

4 x 2 = 8

4 x 3 = 12

Final answer:

The answer explains how to find a number given that two-thirds of it increased by two equals ten, using clear step-by-step instructions.

Explanation:

The subject of the question is Mathematics.

The question states that two-thirds of a number increased by two is equal to ten. To solve this equation:

Let the number be represented by x.

Translate the given information into an equation: (2/3)x + 2 = 10.

Solve for x: (2/3)x = 8, x = 12. Therefore, the number is 12.

Answer:

15 in2

Step-by-step explanation:

3*5= 15

length*width= area

Hope it helped!!!

PLZ GIVE BRAINLIEST!!!!!

Answer: 16 square inch

Step-by-step explanation: 5+5+3+3=16

Answer:

14x+28, where x = cost of each souvenir

Step-by-step explanation:

Given that  Rose visited 14 cities on her vacation. She bought 8 souvenirs in each city to send to her friends. Rose paid $2 in postage for each souvenir she sent. 1.

Here the cost of each souvenir is not given.

Let this cost be x

Then we get

Total cost = [tex]14x+2(14) = 14x+28[/tex]

2) Strategy used it total cost = cost of souvenir +cost of postage.

3) Rose spent 14x+28

Answer:13/24

Step-by-step explanation:

Answer:

13/24

Step-by-step explanation:

3/8+1/6=9/24+4/24=13/24

Answer:

[tex] - 25 + ( - 18) \\ - 25 - 18 \\ = - 43[/tex]

hope this helps you....

Answer:

[tex]A=18000 \cdot e^{0.0125 \cdot 2}[/tex]

[tex]A=18455.67[/tex] (Approximated)

Step-by-step explanation:

[tex]A=Pe^{rt}[/tex]

We are given the following along with the equation we are to use:

[tex]P=18000[/tex]

[tex]r=1.25\%=\frac{1.25}{100}=0.0125[/tex]

Be careful it says [tex]t[/tex] is in years and it gives us a time that is in months.

[tex]12 \text{months}=1 \text{ year}[/tex]:

[tex]t=\frac{24}{12}=2[/tex]

Let's plug in our information:

[tex]A=18000 \cdot e^{0.0125 \cdot 2}[/tex]

Plugging in the right hand side into my calculator gives:

[tex]A=18455.67[/tex] (Approximated)

Answer:

  Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

 0.580   0.805   1.160   1.085   1.345   1.470

The figure attached represent the boxplot obtained.

Step-by-step explanation:

We can use the following excel code:

data<-c(1.16, 0.72, 1.01, 1.36, 1.28, 1.47, 1.33, 0.68, 1.45, 0.58, 0.89)

> summary(data)

  Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

 0.580   0.805   1.160   1.085   1.345   1.470

We can order the data on increasing way:

> sort(data)

[1] 0.58 0.68 0.72 0.89 1.01 1.16 1.28 1.33 1.36  1.45 1.47

And for this case we got this:

The minimum on this case is: [tex]Minimum =0.58[/tex]

The maximum would be: [tex]Maximum = 1.47[/tex]

In order to find the median we need to find the value on the 6 position from the data ordered, and we got:

[tex]Median = 1.16[/tex]

And in order to obtain the boxplot we can use R to grapth the boxplot"

> boxplot(data,main="Boxplot")

And the result is on the figurea attached.

The five-number summary of the given data set is 0.58, 0.72, 1.16, 1.36, 1.47, representing the minimum, first quartile, median, third quartile, and maximum values of the data. These can be used to create a box plot to visualize the data.

The five-number summary of a data set includes the minimum, first quartile, median, third quartile, and maximum values of the data set. Here's how we can find those for the given radiation absorption rates:

So, the five-number summary is: 0.58, 0.72, 1.16, 1.36, 1.47.

To make a box plot, draw a number line from the minimum to the maximum and draw a box from the first quartile to the third quartile. Draw a line (the 'median line') inside the box at the median. Finally, draw 'whiskers' from the box to the minimum and maximum.

https://brainly.com/question/27477075

#SPJ3

Answer:

B  [tex]x^4-x^3+x^2-x+1[/tex]

Step-by-step explanation:

Given,

Dividend = [tex](x^5+1)[/tex]

Divisor = [tex](x+1)[/tex]

Step 1: First The dividend is [tex](x^5+1)[/tex] and Divisor is [tex](x+1)[/tex] when divided first time the quotient will be [tex]x^4[/tex] and remainder will be [tex]-x^4+1[/tex]

Step: 2 Now the new dividend is [tex]-x^4+1[/tex] and Divisor is [tex](x+1)[/tex]  when divided the quotient will be [tex]x^4-x^3[/tex] and remainder will be [tex]x^3+1[/tex]

Step: 3 Now the new dividend is [tex]x^3+1[/tex] and Divisor is [tex](x+1)[/tex]  when divided the quotient will be [tex]x^4-x^3+x^2[/tex] and remainder will be [tex]-x^2+1[/tex]

Step: 4 Now the new dividend is [tex]-x^2+1[/tex] and Divisor is [tex](x+1)[/tex]  when divided the quotient will be [tex]x^4-x^3+x^2-x[/tex] and remainder will be [tex]x+1[/tex]

Step: 5 Now the new dividend is [tex]x+1[/tex] and Divisor is [tex](x+1)[/tex]  when divided the quotient will be [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.

Hence When the polynomial [tex](x^5+1)[/tex] is divided by  [tex](x+1)[/tex] the answer or quotient will be equal to  [tex]x^4-x^3+x^2-x+1[/tex] and remainder will be 0.

300 students attend Washington middle school.

Step-by-step explanation:

Given,

Percentage of students who play sport = 64%

Number of students who play sport = 192

Let,

x represent the total number of students at Washington middle school.

64% of x = 192

[tex]\frac{64}{100}x=192\\0.64x=192[/tex]

Dividing both sides by 0.64

[tex]\frac{0.64x}{0.64}=\frac{192}{0.64}\\x=300[/tex]

300 students attend Washington middle school.

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

Answer:

38 [tex]ft^{2}[/tex]

Step-by-step explanation:

We can see this figure as

WHOLE RECTANGLE - PORTION OF RECTANGLE CUT OUT

We know area of a rectangle is length * width

If this was the WHOLE RECTANGLE, the area would have been:

5 * 10 = 50 sq. ft.

The portion cut out is also a rectangle with dimensions:

Length = 6

Width = 5 - 3 = 2

Thus,

Area = 6 * 2 = 12 sq. ft.

So, the area of the figure is 50 - 12 = 38 sq. ft.

Answer:

x ÷ 15

Step-by-step explanation:

quotient is division

Answer:

hi there!

the equation for this dot plot will be: y=15x

Step-by-step explanation:

if you look at the dots on the graph (2, 30) and (4,60) they both satisfy the equation

Answer:

0.15

Step-by-step explanation:

3/4÷5

D. The bottom one shows proportional relationships between x and y because it is y = .5x

Answer:

Step-by-step explanation:

METHOD 1:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the coordinates of the given points (-4, 6) and (9, 6):

[tex]d=\sqrt{(9-(-4))^2+(6-6)^2}=\sqrt{(9+4)^2+0^2}=\sqrt{13^2}=13[/tex]

METHOD 2:

We can see that the second coordinates of the points (ordinate) are the same. Therefore, they lie on a horizontal line. The distance between them is the distance between the x coordinates (abscissa).

The formula of a distance between two numbers:

[tex]d=|b-a|[/tex]

We have

[tex]a=-4,\ b=9[/tex]

Substitute:

[tex]d=|9-(-4)|=|9+4|=|13|=13[/tex]