What is the M.A.D. of this data set? 3,6,6,7,8,11,15,16

Answer:

Step-by-step explanation:

You'd have to be really familiar with conic sections to know what to do with this. Good thing I am! ; )

Begin by grouping the x terms together and the y terms together, and getting the constant on the other side of the equals sign:

[tex]25x^2+200x-9y^2+18y=-166[/tex]

Now we need to complete the square on the x terms and the y terms. Do this by first factoring out the leading coefficient from each, the 25 from the x's and the 9 from the y's:

[tex]25(x^2+8x)-9(y^2+2y)=-166[/tex]

Now take half the linear term in each set of parenthesis, square it, and add it in to both sides, remembering the multiplier outside (the 25 and the 9). Our x linear term is 8. Half of 8 is 4, and 4 squared is 16, so we add a 16 into the parenthesis with the x's; our y linear term is 2. Half of 2 is 1 and 1 squared is 1, so we add a 1 into the parenthesis with the y's:

[tex]25(x^2+8x+16)-9(y^2+2y+1)=-166+400-9[/tex]

Note the 400 and -9 on the right side now. 25 times 16 is 400; we didn't just add in a 16, we have to multiply the scalar number into it before we know what we REALLY added in. And the -9 comes from multiplying the -9 times 1.

The reason we do this is to get the perfect square binomials on the left that we created while completing the square:

[tex]25(x+4)^2-9(y+1)^2=225[/tex]

Now, finally we will divide both sides by 225 to get this conic into standard form:

[tex]\frac{(x+4)^2}{9} -\frac{(y+1)^2}{25} =1[/tex]

This is a hyperbola with a horizontal transverse axis and a center of (-4, -1). The reason we know it's not an ellipse is because an ellipse will always have a + sign separating the x-squared from the y-squared whereas a hyperbola always has a - sign separating them. And we also know it's not a circle because the values of the leading coefficients weren't the same.

Step-by-step explanation:

you have to use this

u/v=u'×v-v'×u/v²

0×(1+cosy)-(-1×-siny)/(1+cosy)²

-siny/(1+cosy)²

hopefully its correct

Answer:

Step-by-step explanation:

180-135=45

5x=45°

45 divided by 5 =9

X=9°

Answer: 9

Step-by-step explanation: The answers 9 cus 135+5x has to equal 180 so u do 180 -135 =45 than divid 45 to 5 which equals 9

Answer:

1 = 100% probability that a person will wait for more than 33 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean waiting time is 55 minutes and the variance of the waiting time is 11.

This means that [tex]\mu = 55, \sigma = \sqrt{11}[/tex]

Find the probability that a person will wait for more than 33 minutes.

This is 1 subtracted by the p-value of Z when X = 33. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{33 - 55}{\sqrt{11}}[/tex]

[tex]Z = -6.63[/tex]

[tex]Z = -6.63[/tex] has a p-value of 0.

1 - 0 = 1

1 = 100% probability that a person will wait for more than 33 minutes.

Answer:

[tex]f(x) = \frac{10}{x} - 4 \\ \delta \: f(x) = \frac{f(8) - f(2)}{2} \\ = \frac{(\frac{10}{8} - 4) - ( \frac{10}{2} - 4)}{2} \\ = \frac{ \frac{ - 11}{4} - 1}{2} \\ = \frac{ \frac{ - 15}{4} }{2} \\ = - \frac{15}{8} [/tex]

Answer:

12-hot dog package is better buy because the per hot dog price is 5 cents cheaper

Step-by-step explanation:

2.40/8 = 0.30 per hot dog

3.00/12 = 0.25 per hot dog (this is the better buy by $.05)

Answer:

12-hot dog package  per hot dog price is 5 cents cheaper

Step-by-step explanation:

= 2.40/8 = 0.30 per hot dog

= 3.00/12 = 0.25 per hot dog (this is the better buy by $.05)

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Solution given:

l=12in

b=2.7in

h=9.8in

Volume=l*b*h=12*2.7*9.8=317.52in³

nearest measurement is 324in³

option C.324in³ is a required answer.

Answer:

Which of the following volume measurements is the best estimate for the figure above? Round each measurement to the nearest whole number to get your estimate.

A. 360 in³

B. 300 in³

C. 324 in³

D. 216 in³

Step-by-step explanation:

We're provided with a Cuboid with L = 12 in ,B = 2.7in & H = 9.8 in where,

and we're asked to Find the volume of the solid .

To find the volume of the given cuboid , we'll use the formula to find the volume of cuboid

[tex] \huge\fbox\pink{Area}\huge\fbox\green{=} \huge\fbox\blue{L}\huge\fbox\purple{B}\fbox\green{H} [/tex]

Inserting the value of L,B & H in the above formula

We get

-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀

Answer:

D

Step-by-step explanation:

When you simplify the expression you start by subtracting 5 from both sides. This gives you 0.2x > -3. Then to isolate "x" you divide both sides by 0.2. This gives you x > -15, which is shown in the number line.

Step-by-step explanation:

you could count the squares around the shape or you could do it by points

For example point M is (2,3)

L is (6,3)

We want to find the length of this side so we subtract the x values

6 - 2 = 4 units

that gives use the length of that leg and since a rectangle is symmetrical, you can just measure 2 sides

Answer:

65 degrees

Step-by-step explanation:

Angles in a triangle add to 180°.

Answer: A sum

Step-by-step explanation: The result of adding two or more numbers together is a sum.

When two (or more) numbers are added together, the result is called a sum.

Answer:

y = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-15 + 10y = 25

Step 2: Solve for y

Answer:

C

Step-by-step explanation:

Functions meet the vertical line test:

a vertical line will intersect the graph at  most at one point

C doesn't pass the vertical line test and is therefor not a function

For each probability, transform the normal random variable X with mean 19 and s.d. 4.04 to a standard normal random variable Z with mean 0 and s.d. 1, using the rule

Z = (X - 19) / 4.04

(a) Pr[15 ≤ X ≤ 20] = Pr[(15 - 19)/4.04 ≤ (X - 19)/4.04 ≤ (20 - 19)/4.04]

… ≈ Pr[-0.9901 ≤ Z ≤ 0.2475]

… ≈ Pr[Z ≤ 0.2475] - Pr[Z ≤ -0.9901]

(since Z is a continuous random variable)

… ≈ 0.4367

(b) Pr[X > 20] = Pr[(X - 19)/4.04 > (20 - 19)/4.04]

… ≈ Pr[Z > 0.2475]

… ≈ 1 - P[Z ≤ 0.2475]

(taking the complement probability)

… ≈ 0.4023

(c) Pr[X < 15] = 1 - Pr[15 ≤ X ≤ 20] - Pr[X > 20]

(also taking the complement)

… ≈ 0.1611

Answer:

Step-by-step explanation:

The equation for finding the perimeter of a rectangle is 2Lx2H

So since the length is 16, you multiply that by 2 to get 32.

Then you subtract 32 from 73 which leaves you with 41, then your equation is left as 2H=41, so you divide 41 by 2 which is 20.5, and that is your height

hope this helped!

Answer:

5

Step-by-step explanation:

73/16

16*5=73

Answer:

7/145

Step-by-step explanation:

7/30x6/29=42/870 = 7/145

Answer:

9 yards

Step-by-step explanation:

3 yards make 2 skirts

2x3=6

3x3=9

9 yards make 6 skirts

Answer:

Option D would be the correct answer!

Hope this helps!

Answer:

answe is option 3 is currect ans

Answer:

(x + 1)(x + 2

________

      2

Step-by-step explanation:

Good luck.

Answer:

B. 50

Step-by-step explanation:

180-80=100

100 divided by two equal angles is 50.

Answer:

plug it into a calculator and you get 0.001

Step-by-step explanation:

50/50=1

then put in the decimal places to get 0.001

Answer:

√41

Step-by-step explanation:

The distance formula is expressed as;

D = √(y2-y1)²+(x2-x1)²

D = √(4-9)²+(-1+5)²

D = √(-5)²+4²

D = √25+16

D = √41

Hence the required distance between F and J is √41

Answer:

0.279

0.613

-0.44

Step-by-step explanation:

The Zscore that seperates the middle 22% of the distribution ; could be obtained thus. The midpoint is the mean and the probability to either the right or left could be obtained.

To obtain the Zscore that seperates the middle 22% is equivalent to :

The probability to the left of the distribution :

P(x < (0.5 + 0.22/2) = p(x < 0.61)

Using the Z probability calculator :

P(x < 0.61) is equivalent to a Zscore of 0.279

α = 0.27

Z(1 - α) = Z(1 - 0.27) = Z0.73 = p(Z < 0.73) = 0.613

P(x < 0.33) = - 0.44 (Z probability calculator)

Answer:

Option A, 130°

Hope this helps!

The name of polygon is SRVUT.

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

Usually while naming the polygon we have to focus on the letter to which each vertex is allotted.

and, the name of any geometrical shape should be in a flow, it should be like which letter come after the previous in clockwise or anticlockwise order.

Here, the polygon will have name:

VRSTU

RSTUV

STUVR

TUVRS

UTVRS

Learn more about Polygon here:

https://brainly.com/question/24464711

#SPJ7

9514 1404 393

Answer:

  7x^3 +11x^2 -5x -8

Step-by-step explanation:

Combine like terms.

  (4x^3+6x^2+2x^2-3) + (3x^3+3x^2-5x-5)

  = (4 +3)x^3 +(6 +2 +3)x^2 +(-5)x + (-3 -5)

  = 7x^3 +11x^2 -5x -8

_____

Noting that the first expression contains two x^2 terms, we wonder if you actually want the sum ...

  (4x^3+6x^2+2x-3) + (3x^3+3x^2-5x-5)

  = (4 +3)x^3 +(6 +3)x^2 +(2 -5)x +(-3 -5)

  = 7x^3 +9x^2 -3x -8

Answer:

20 - x = 3x

Step-by-step explanation:

A number less than 20 amounts to three times the number

20 - x = 3x