4. Dominick sent the following number of text messages each day over the last week:
SUN
MON
TUES
WED
THURS
FRI
SAT
64
58
63
51
60
61
70
What is the mean absolute deviation?
Explain what the mean absolute deviation represents in the situation:

Answer:

566

Step-by-step explanation:

We need to write the following number in standard form.

500 + 60 + 6

Here, the first no is 500, the second number is 60 and the other number is 6.

It can be done as follows :

500 + 60 = 560

And

560 + 6 = 566

So, the standard form is 566 inc which 6 is at one's place, another 6 at tens place and 5 at hundred places.

I think that C is the correct answer

Answer:

C. obtuse is absolutely right

An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.

The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379

I've added the missing data as an attachment.

An exponential equation is represented as:

[tex]y = ab^x[/tex]

Where:

[tex]a \to[/tex] the first term

[tex]b \to[/tex] rate

[tex]x \to[/tex] years after 1999

[tex]y \to[/tex] depreciated value

When [tex]x = 0\ \&\ y=12500[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]12500 = ab^0[/tex]

[tex]12500 = a*1[/tex]

[tex]12500 = a[/tex]

[tex]a =12500[/tex]

When [tex]x = 1\, \&\ y = 10750[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]10750 = ab^1[/tex]

[tex]10750 = ab[/tex]

Substitute [tex]a =12500[/tex]

[tex]10750 = 12500 \times b[/tex]

Solve for b

[tex]b =\frac{10750 }{12500}[/tex]

[tex]b =0.86[/tex]

So, the equation is:

[tex]y = ab^x[/tex]

[tex]y = 12500(0.86)^x[/tex]

To calculate the depreciated value in 2010, we first solve for x in 2010

[tex]x = 2010 - 1999[/tex]

[tex]x = 11[/tex]

So, the depreciated value (y) is:

[tex]y = 12500(0.86)^x[/tex]

[tex]y = 12500 \times 0.86^{11}[/tex]

[tex]y = 2379[/tex]

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Explanation:

The vertical bar means "given", so saying "P(Horse | Female)" means "The probability of selecting a horse given the animal is female". Since we know the animal is female, we focus only on the second column.

There are 2 female horses out of 26 female animals total. Therefore, the probability we want is 2/26 = 1/13

Side note: The hint your teacher provides is also another route you can take, but I find it's a bit more complicated in my opinion.

P (Horse | Female) = 1/13

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes,

n(S) is the total number of events in the sample space.

"It is the probability of an event occurring given that another event has already occurred."

The probability of event A occurring given that event B has already occurred is,

P(A|B) = P(A ∩ B)/P(B)

where, P(A ∩ B) the joint probability of events A and B

For given example,

We need to find P (Horse | Female)

From given table we can observe that there are 40 animals on farm.

⇒ n(S) = 40

First we find the probability of female animals on farm.

⇒ number of female animals = 26

Using the formula of probability,

⇒ P(Female) = n(Female)/n(S)

⇒ P(Female) = 26/40

First we find the probability of female horse [P(Horse and Female)] animals on farm.

⇒ n(Horse and Female) = 2

Using the formula of probability,

⇒ P(Horse and Female) = n(Horse and Female) / n(S)

⇒ P(Horse and Female) = 2/40

Using the formula of conditional probability,

⇒ P (Horse | Female) = P (Horse and Female) / P(Female)

⇒ P (Horse | Female) = (2/40) / (26/40)

⇒ P (Horse | Female) = 2/26

⇒ P (Horse | Female) = 1/13

Therefore, P (Horse | Female) = 1/13

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Answer:

The answer would be 5/100 or 1/20 in it's simplest form

Step-by-step explanation:

So let's say you have only 5% of a pie and the rest of your family gets the rest, if you put that in a form of a fraction, the answer would be 5 over 100 (5/100). But if you simplify, the answer would be 1/20 since 5 goes into 5 once and 20 goes into 100 5 times.

Ignore the messy writing, i was in a hurry.

Answer:

radius is 2.5 cm

hope it helps.

Answer:

radius =  2 1/2 cm or 2.5 cm

Step-by-step explanation:

diameter = 5 cm

radius = 5/2 = 2 1/2 cm

Answer:

P = 45 W

Step-by-step explanation:

Given that,

The weight of a box, W = 90 N

Distance moved, d = 10 m

Time, t = 20 s

We need to find the amount of power used. The rate of doing work is called power It can be calculated as the formula,

[tex]P=\dfrac{W}{t}\\\\P=\dfrac{Fd}{t}\\\\P=\dfrac{90\times 10}{20}\\\\P=45\ W[/tex]

So, 45 W of power was used.

Answer:

6 5/8

Step-by-step explanation:

Answer:

it equals 29/8 you can also write it as 3 5/8

Step-by-step explanation:

first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps

Answer:

the mean is 7

Step-by-step explanation:

used a mean calculator

Answer:

obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse

Answer:

21134 bacteria

Step-by-step explanation:

The given parametrs can be interpreted as:

[tex]y = 8(2.4)^t[/tex]

Required

Find y when t = 9

Substitute [tex]t = 9[/tex]

So:

[tex]y = 8(2.4)^9[/tex]

[tex]y = 8 * 2.4^9[/tex]

[tex]y = 8 * 2641.81[/tex]

[tex]y = 21134.48[/tex]

[tex]y = 21134[/tex] --- approximated

Hence, there are 21134 bacteria

Answer:

Triangle C and D

Is your correct answer

Triangle A have 3 sides equal so it is equilateral triangle

Triangle B have 2 sides equal so it is isosceles triangle

Triangle C have no equal sides so it is scalene triangle

Triangle D have no equal sides so it is scalene triangle

Triangles C and D are scalene triangles.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle A has three sides each measuring 7 units.

Triangle B has two sides that are equal in length, and the base is longer than the two sides.

Triangle C has no sides of equal length.

Triangle D has sides of length seven, three, and six.

Now, We know that;

A scalene triangle have different sides.

Hence, Triangles C and D are scalene triangles.

Thus, We get;

Triangles C and D are scalene triangles.

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Answer:

A

Step-by-step explanation:

First notice that the sing does not have a line under it so its an open circle then the line is pointing to right. Your Welcome

Answer:

f(-6) = 30e+7 or 88.55

Step-by-step explanation:

First you want to plug in the -6 into the function getting you:

-5e(-6)+4+3

You can multiply the -5*-6=30

Then add 4+3 giving you 7

So the final answer is 30e+7

Answer:

Explain what?? May I ask

Answer:

1.98 × 10^10

Step-by-step explanation:

First solve for how many text messages were sent out per one month:

22,000,000 × 900

19,800,000,000

Convert into scientific notation:

1.98 × 10^10

In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.

Answer:

7 × x = 315

x = 315 ÷ 7

x = 45

45 is the answer.

Answer:

45

Step-by-step explanation:

315 ÷ 7 = 45

9514 1404 393

Answer:

  b.  255.5 to 499.5

Step-by-step explanation:

The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.

  first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B

The third quartile is the average of numbers 7 and 8:

  third quartile = (468 +531)/2 = 499.5 . . . . .  also matches answer choice B

The middle 50% is 255.5 to 499.5.

_____

When I put the numbers in order, I get ...

  198 230 ^ 281 246 376 426 468 ^ 531 540

^ indicates that the quartile here is the average of the adjacent numbers

bold indicates the median (2nd quartile)

Given:

Radius of the cone = 6

Slant height of the cone = 10

To find:

The lateral area, surface area and volume of the cone.

Solution:

Let h be the height of the cone. By Pythagoras theorem, we get

[tex]10^2=(6)^2+h^2[/tex]

[tex]100=36+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]64=h^2[/tex]

Taking square root on both sides, we get

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

The lateral area of a cone is:

[tex]A_L=\pi rl[/tex]

[tex]A_L=\pi (6)(8)[/tex]

[tex]A_L=48\pi[/tex]

The surface area of a cone is:

[tex]A_S=\pi rl+\pi r^2[/tex]

[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]

[tex]A_S=48\pi +36\pi[/tex]

[tex]A_S=84\pi[/tex]

Volume of cone is:

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]

[tex]V=\dfrac{288}{3}\pi [/tex]

[tex]V=96\pi [/tex]

Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.

Answer:

<1 = 43

<2= 17

<3= 120

<4=60

<5= 60

<6= 60

<7 =17

<8= 120

<9= 43

Step-by-step explanation:

< 4, <5, <6 are all 60

<3 and <4 are a linear pair, so they add to 180. Since <4 is 60, <3 is 180-60= 120

<6 and <8 are a linear pair, so they add to 180. Since <6 is 60, <8 is 180-60= 120

Angles 1 and 9 are congruent

4x+3=9x-47

50=5x

10=x

<1= 4(10)+4= 43

<9-9(10)-47=43

Now you have 2 angles for the triangle A B D- subtract the 2 known from 180

<2= 180-43-120=17

<7= 180-43-120=17

Answer:

3,2,1,4

Step-by-step explanation:

Answer:

-4 is the opposite of -1/4

Answer:

16cm

Step-by-step explanation:

The area of a square is calculated by perimeter * perimeter. 256 is made of 16*16

Answer:

you know that the Area of a square is calculated as S^2 or SxS

to find the side length just do square root of 256

wich is 16 cm

multiply by 4 and the perimeter is 16*4= 64

Answer:

330 cubic feet

Step-by-step explanation:

The formula for Volume is L (length) x W (width)  x H (Hight)

So all we have to do is multiply the numbers for each floor and then add them together.

5 x 3 = 15 15 x 6 = 90

6 x 5 = 30 30 x 8 = 240

240 + 90 = 330

Now add you cubic feet since volume is cubed.

330 cubed feet

Thus, your answer is 330 cubed feet.

Hope this helps! :)

Answer:

-50

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.1     ;-;

Answer:

x≥0

Step-by-step explanation:

the domain is anything above 0

The domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades.

As we can see in the graph the annual growth of the python population from the beginning of 2000 to 2010 is continuously increasing between 0 to 10,

Mathematically,

x ∈ [0, 10] or

0 ≤ x ≤ 10

Thus, the domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

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