4. The MAD of a set of six data values is 10. The mean is 20. What could the data values be? Show that the mean is 20 and the MAD is 20.

Answer:

see explanation

Step-by-step explanation:

given

2x ÷ 4 = 10 or

[tex]\frac{2x}{4}[/tex] = 10 ( multiply both sides by 4 )

2x = 40 ( divide both sides by 2 )

x = 20

-------------------------

(b)

He may have mistaken the ÷ for  a - (subtraction sign )

2x - 4 = 10 ( add 4 to both sides )

2x = 14 ( divide both sides by 2 ), leading to

x = 7 ← the incorrect answer he obtained

Answer:

Step-by-step explanation:

Where is the picture

And I think the answer is 6.1

Answer:

A.) 5.2 is the deviation

Step-by-step explanation:

Allow me to explain!

The mean of the data is found by adding the four temperatures (5.2+6.1+55+57) and dividing by 4. This gives you 30.825. The number given that is furthest from this number is 5.2, making it your answer.

The one you have highlighted is correct

the first one is the right one

50 people answered the survey.

The Answer to your question is:

B: (2,-5)

Answer:

the vertex is (2,-5)

Step-by-step explanation:

f(x) = 6|x − 2| − 5

WE need to find out the vertex of the given absolute function

The vertex form of absolute function is

f(x) = a|x − h| +k

where (h,k) is the vertex

Now we compare the given f(x) with the vertex form

h= 2  and k = -5

so the vertex is (2,-5)

Answer: OPTION A

Step-by-step explanation:

Descompose the number 20 into its prime factors:

[tex]20=2*2*5=2^2[/tex]

Because, by definition:

[tex]\sqrt[n]{a^n}=a[/tex]

 Then, you must rewrite 2²*5 inside of the square root, as following;

[tex]\frac{3\sqrt{2^2*5}}{\sqrt{5}}[/tex]

Simplify as following:

Keeping on mind that [tex]\sqrt[n]{a^n}=a[/tex], then:

[tex]\frac{3*2\sqrt{5}}{\sqrt{5}}[/tex]

 Note:

[tex]\frac{\sqrt{5}}{\sqrt{5}}=1[/tex]

Then:

[tex]\frac{6\sqrt{5}}{\sqrt{5}}=6(1)=6[/tex]

Therefore, as you can see the answer is the option A

Answer:

option A)

6

Step-by-step explanation:

Given in the question the expression

3√20 / √5

(3 x √20) / √5

√20 can be separated as 5x4

(3 x√5x4) / √5

square root rule

(3 x  √5√4) / √5

cancelling √5 from both sides

3 x √4

3 x 2

6 answer

[tex](2 \times 54 - 2)3 = 108 - 2 \times 3 = 106 \times 3 = 318[/tex]

Answer:

[tex]\boxed{\bold{318}}[/tex]

Step By Step Explanation:

Calculate Within Parenthesis: [tex]\bold{(54-1)}[/tex]

[tex]\bold{53}[/tex]

Rewrite Equation

[tex]\bold{2\cdot \:53\cdot \:3}[/tex]

Multiply: [tex]\bold{2\cdot \:53\cdot \:3}[/tex]

[tex]\bold{318}[/tex]

➤ [tex]\boxed{\bold{Mordancy}}[/tex]

ANSWER :

So (B) 3x^5+2 is correct having highest degree .

Hope this helps

Thanks

Final answer:

The quintic binomial among the options given is B: 3[tex]x^5[/tex] + 2, as it has two terms and its highest degree is five.

Explanation:

The question asks to identify which polynomial is a quintic binomial.

A quintic polynomial is one where the highest degree of any term is five, and a binomial is a polynomial with exactly two terms.

Looking at the options provided, Option B: 3[tex]x^5[/tex] + 2 fits this description, as it has two terms and the highest degree is five.

Answer:

A

Step-by-step explanation:

The sum to infinity of a geometric series is

S (∞ ) = [tex]\frac{a}{1-r}[/tex] ( - 1 < r < 1 )

where a is the first term 8 and r is the common ratio, hence

S(∞ ) = [tex]\frac{8}{1-\frac{1}{2} }[/tex] = [tex]\frac{8}{\frac{1}{2} }[/tex] = 16

This sum of the infinite geometric series is 16 since the correct option is (A) 16.

The sum of infinite geometric sequences is called an infinite geometric series. There would be no final term in this series. The infinite geometric series has the general form a1+a1r+a1r2+a1r3+..., where a1 is the first term and r is the common ratio. The sum of all finite geometric series can be found.

In terms of the first term a1 and the common ratio r, the sum is...[tex]S =\frac {a_1}{(1-r)}[/tex]

We discover... by substituting the given numbers and performing the arithmetic...[tex]S = 8/(1 -1/2) = 16[/tex]

The total number of items in the series is 16.

Learn more about infinite geometric series here, https://brainly.com/question/27350852

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Answer:

true

Step-by-step explanation:

given

[tex]\frac{x}{8}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )

4x = 40 ( divide both sides by 4)

x = 10

Final answer:

The equation x/8 = 5/4 is solved by multiplying both sides by 8, resulting in the correct solution x = 10. Thus, the statement is indeed true.

Explanation:

To solve the equation x/8 = 5/4, we need to perform algebraic operations to solve for x. We multiply both sides of the equation by 8 to isolate x on one side, which gives us:

x = (5/4) × 8

Now, we simplify this further:

x = (5 × 2) = 10

Therefore, the statement 'if x/8 = 5/4 then x = 10' is true, since we have confirmed that multiplying 5/4 by 8 indeed equals 10. It is important to understand that multiplication and division are inverse operations, and we can solve for an unknown by isolating it on one side of the equation.

Answer:

-8 < x < inf

[-8 , inf )

Step-by-step explanation:

set up a +/- |x + 8| = x + 8

the setup a number line and use test points

Answer:

x > -8

Step-by-step explanation:

ummmmmm so its not negative lol

Answer:

(x+10) and (x-10)

Step-by-step explanation:

The volume of a rectangular box is defined as

Volume = width*height*length

In this case

Volume  = 6x^2-600  =  6*(x^2 - 100)

And we also know,

Volume  =  (6)*height*length

So,

6*(x^2 - 100) = (6)*height*length

This means that

height*length = (x^2 - 100)

height*length = (x+10)*(x-10)

Answer:

the coeffiectans is 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the daily temperature and the number of cakes she sold on different days of the year

Let us find the correlation coefficient for the variables x, daily temperature and y, no of cakes sold.

x y

42 39

45 52

48 31

54 61

59 72

62 35

64 61

65 34

67 58

75 45

84 24

r -0.197481837

Since r is nearer to 0 than to 1, we find that there is a negative very moderate correlation between the two variables.

We cannot conclude that  Amélie's cake sales are affected by the daily temperature.

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept → (0, b)

We have the slope m = a, and the y-intercept b.

Substitute:

y = ax + b

6:34 minutes Six hours thirty four minutes

Answer:

6 hours 34 minutes.

Step-by-step explanation:

12.00 pm - 7.59 am =  4 hours 1 minute.

2.33 pm - 12.00 pm =  2 hours 33 minutes.

Answer is 6 hours 34 minutes.

Answer:

If you have the diameter of a circle, you can use it to find the area of that circle. Just plug that value into the formula for the area of a circle and solve. Hope this helps. :)

Answer:

The area of a circle is Pi * Radius^2 or Pi * diameter.

So do 3.14 * the diameter.

The answer is 4y / y+3

See the attached figure

Answer:

D. 4y/y+3

thanks (:

Answer:

106.65

Step-by-step explanation:

its the same formula as the area of a triangle.... smallest number as base

Answer:

The area of the figure is 16

Step-by-step explanation:

If you look closely there are four squares inside the figure so you get the area of one square and times it by four for the area of 16.

Answer:

16 in^2

Step-by-step explanation:

Think of the entire shape as a rectangle above and a square below. The rectangle's length and width are 6 inches and 2 inches. The side of the square is 2 inches.

area of rectangle: Ar = length * width

area of square: As = side^2

total area = Ar + As

total area = 6 in * 2 in + (2 in)^2

total area = 12 in^2 + 4 in^2

total area = 16 in^2

Answer:

3

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

-5 - 3 = -7

-8 * -3 = 24

bc a (-) plus a (-) equals a (+)

The cost of full-day bike rental cannot be calculated because the information about how many half and full day rentals exist was not provided. This is needed to create an equation using the given variable and total revenue.

The question is about finding the cost of a full day bike rental. From the problem, we know that the total revenue from the rentals was $600. However, as the necessary information about the number of half-day and full-day rentals for the given day is not provided, we cannot provide a specific price. Usually, if we know the number of half-day and full-day rentals, we can set up an equation to determine the cost of a full day rental, denoted as (x+40) in the problem.

https://brainly.com/question/30303793

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Answer:

V = 96 cubic inches

Step-by-step explanation:

Volume of a rectangular prism is V= LWH,  

we are given W = 4, L = 8, and H = 3.  Plug  them in and find W...

V = (4)(8)(3)

   V = 32(3)

      V = 96 cubic inches

Answer:  [tex]\bold{-\dfrac{1}{2}\pm \dfrac{\sqrt5}{10}}i[/tex]

Step-by-step explanation:

[tex]10y^2+10y+3=0\qquad \rightarrow \quad a=10,\ b=10,\ c=3\\\\y=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\y=\dfrac{-10\pm \sqrt{10^2-4(10)(3)}}{2(10)}\\\\\\.\ =\dfrac{-10\pm \sqrt{100-120}}{2(10)}\\\\\\.\ =\dfrac{-10\pm \sqrt{-20}}{2(10)}\\\\\\.\ =\dfrac{-10\pm 2i\sqrt5}{2(10)}\\\\\\.\ =\dfrac{-5\pm i\sqrt5}{10}\\\\\\.\ =-\dfrac{1}{2}\pm \dfrac{\sqrt5}{10}i[/tex]

Answer:

6

Step-by-step explanation:

24 / 4 = 6

Final answer:

The number of reading groups can be determined by dividing the total number of students, which is 24, by the number of students in each group, which is 4. The calculation is 24 ÷ 4, resulting in 6 reading groups.

Explanation:

To find the number of reading groups, we can use a simple division operation because we are dividing a larger group of items (students) into smaller equal-sized groups. In this case, we have 24 students and want to find out how many groups of 4 students we can create from that total.

Here's the step-by-step explanation:

Identify the total number of students, which is 24.

Identify the number of students in each reading group, which is 4.

Divide the total number of students by the number of students in each group: 24 ÷ 4 = 6.

Therefore, there are 6 reading groups.

Answer:

x = 5                         x = 1

Step-by-step explanation:

−3|x − 3| = −6

Divide each side by -3

−3/-3|x − 3| = −6/-3

|x − 3| = 2

An absolute value is equal to a positive and negative solution

x-3 =2      and      x-3 = -2

Add 3 to each side

x-3+3 = 2+3            x-3+3 = -2+3

x = 5                         x = 1

See the graph below.

The answer is: B. The ordered pair that contains the solution to the equation lies in Quadrant I

Answer:

Juan has 35(t) cookie dough orders.

Step-by-step explanation:

75(Overall) - 40(Rob's) = 35(Juan's)

Hope this helps you. :)

Answer:

t+ 40 = 75; t = 35

Step-by-step explanation:

t + 40 = 75

Subtract 40 from each side.

t = 35

Juan has 35 cookie dough orders.