An urn contains 2 small pink balls, 7 small purple balls, and 6 small white balls.
Three balls are selected, one after the other, without replacement.
Find the probability that all three balls are purple
Express your answer as a decimal, rounded to the nearest hundredth.

Answer:

[tex]E(x) = 177.130[/tex]

[tex]Var(x) = 484.551[/tex]

[tex]\sigma = 22.013[/tex]

Step-by-step explanation:

Given

The attached table

Solving (a): The mean

This is calculated as:

[tex]E(x) = \sum x * p(x)[/tex]

So, we have:

[tex]E(x) = 182.11 * 13\% + 163.88 * 19\% + 180.30 * 33\% + 216.08 * 17\% + 144.92 * 18\%[/tex]

Using a calculator, we have:

[tex]E(x) = 177.1297[/tex]

[tex]E(x) = 177.130[/tex] --- approximated

The average opening price is $177.130

Solving (b): The Variance

This is calculated as:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where:

[tex]E(x^2) = \sum x^2 * p(x)[/tex]

[tex]E(x^2) = 182.11^2 * 13\% + 163.88^2 * 19\% + 180.30^2 * 33\% + 216.08^2 * 17\% + 144.92^2 * 18\%[/tex]

[tex]E(x^2) = 31859.482249[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 31859.482249 - 177.1297^2[/tex]

[tex]Var(x) = 31859.482249 - 31374.9306221[/tex]

[tex]Var(x) = 484.5516269[/tex]

[tex]Var(x) = 484.551[/tex] --- approximated

Solving (c): standard deviation

The standard deviation is:

[tex]\sigma = \sqrt{Var(x)}[/tex]

[tex]\sigma = \sqrt{484.5516269}[/tex]

[tex]\sigma = 22.0125418796[/tex]

Approximate

[tex]\sigma = 22.013[/tex]

Answer:

3

Step-by-step explanation:

start with the ending answer and go backwards

Answer:

3.

Step-by-step explanation:

.

Answer:

The value of 24x0.03 is gong to be, "800"

Answer:

8cm and 9cm

Step-by-step explanation:

because for the triangle to work you need the other two other sides when added together needs to be greater then 13

Answer:

4/3

Step-by-step explanation:

In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line.

Let's write [tex]3x+4y=-2[/tex] in slope-intercept form by isolating [tex]y[/tex]:

[tex]3x+4y=-2,\\4y=-3x-2,\\y=-\frac{3}{4}x-\frac{1}{2}[/tex]

Therefore, the slope of this line is [tex]\frac{-3}{4}[/tex]. To find the slope of a line perpendicular to it, multiply the reciprocal of the slope by -1 (take the negative reciprocal).

Therefore, the slope of a line perpendicular to [tex]3x+4y=-2[/tex] is:

[tex]m_{perp}=-(-\frac{4}{3})=\boxed{\frac{4}{3}}[/tex]

Answer:

4/3

Given equation :-

Slope :-

Slope of perpendicular line :-

Answer:

m

Step-by-step explanation:

vfmjj vdzaazb knkuvggb

Answer:

Terms:

Like Terms:

Coefficients:

Constants:

You simplify the expression by combining like terms:

-5x + 4 - x - 1 = -6x + 5

(7b - 4) + (-2b + a + 1) = 7b - 4 - 2b + a + 1 = 5b + a - 3

1...  > equivalent                                                                                                                 2...>equivalent                                                                                                                               3...>not equivalent                                                         mark if u want

Answer:

No mode

Step-by-step explanation:

Mode = number that appears the most

No number appears more than 1 time

Hence there is no mode

Answer:Should be no mode tell me if i'I'm wrong

Step-by-step explanation:

Answer:

a. -3

Step-by-step explanation:

-2 turns into 6 by multiplying it by -3.

the same from 6 to -18, from -18 to 54, ...

so, an/an+1 = -3

Answer:

B. There is not sufficient evidence to support the claim that the proportion of male golfers is less than 0.6.

Step-by-step explanation:

The proportion of male golfers is less than 0.6.

At the null hypothesis, we test if the proportion is of at least 0.6, that is:

[tex]H_0: p \geq 0.6[/tex]

At the alternative hypothesis, we test if the proportion is of less than 0.6, that is:

[tex]H_1: p < 0.6[/tex]

Fail to reject the null hypothesis.

This means that there is not sufficient evidence to conclude that the proportion is less than 0.6, and thus the correct answer is given by option B.

Answer:

5670272728262728227627

Solution :

Using the TI-84 PLUS calculator

a). Area : 0.41

μ = 75

σ = 9

InvNorm(0.41,75,9)

= 72.95209525

Therefore, the 41st percentile of the scores is 72.95209525

b).  Area : 0.74

μ = 75

σ = 9

InvNorm(0.74,75,9)

= 80.79010862

Therefore, the 74st percentile of the scores is 80.79010862

c). 8%

So,  Area : 0.92

μ = 75

σ = 9

InvNorm(0.92,75,9)

= 87.64564405

Therefore, X =  80.79010862

Part B is not clear and the clear one is;

P(X ≥ 6)

Answer:

A) 0.238

B) 0.478

C) 0.114

Step-by-step explanation:

To solve this, we will make use of binomial probability formula;

P(X = x) = nCx × p^(x)•(1 - p) ^(n - x)

A) 54% of U.S. adults have very little confidence in newspapers. Thus;

p = 0.54

10 random adults are selected. Thus;

P(X = 5) = 10C5 × 0.54^(5) × (1 - 0.54)^(10 - 5)

P(X = 5) = 0.238

B) P(X ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

From online binomial probability calculator, we have;

P(X ≥ 6) = 0.2331 + 0.1564 + 0.0688 + 0.01796 + 0.0021 = 0.47836 ≈ 0.478

C) P(x<4) = P(3) + P(2) + P(1) + P(0)

Again with online binomial probability calculations, we have;

P(x<4) = 0.1141 ≈ 0.114

Answer:

2.7 in²

Step-by-step explanation:

similar triangles have the same angles, and all side lengths (or other distances) of one triangle have the same scaling factor to the side lengths of the other triangle.

so, we know the relation between the 2 baselines is 2/3, as this is the factor to turn the baseline of the large triangle into the baseline of the smaller triangle.

in other words

EF = BC × 2/3

2 = 3 × 2/3

correct

how do we calculate the area of a triangle ?

Area = baseline × height / 2

from BAC we know

Area = 6

baseline = 3

height = ?

6 = 3 × height / 2

12 = 3 × height

height = 4

aha !

now, EDF has a height too that we need to calculate is Area. and this height has the same scaling factor compared to the larger triangle as the side lengths : 2/3

so, for EDF we know

Area = ?

baseline = 2

height = 4 × 2/3 = 8/3

therefore, the area is

Area = (2 × 8/3) / 2 = (16/3) / 2 = 8/3 = 2.66666... ≈ 2.7

the shirt answer would be :

we know from the 2 baselines that the scaling factor for each distance is 2/3.

for the area we need to multiply 2 distances, so that means we have to multiply both by 2/3. and so on the formula for the area we have to use 2/3 × 2/3.

2/3 × 2/3 = 4/9

=>

Area small = Area large × 4/9 = 6 × 4/9 = 24/9 = 8/3 ≈ 2.7

Answer:

that is the answer

Step-by-step explanation:

use triangle RSQ

from pythogrus theorem

a² + b² = c²

4² + 5² = RQ²

16 + 25 = RQ²

41 = R

9514 1404 393

Answer:

  A, C, D, E, F

Step-by-step explanation:

The figure has 4 sides: 2 pairs of parallel sides, all of equal length. The angles are right angles.

The figure is a ...

Answer:

A, and F.

Step-by-step explanation: I hope this helps.

Four sides are called a quadrilateral.

Three sides are called a triangle.

Five sides are called a pentagon.

Six sides are called hexagons.

A rectangle is a quadrilateral with four right angles.

A square is a quadrilateral with four right angles.

A rhombus is a quadrilateral with four equal sides.

A parallelogram is a quadrilateral with two pairs of parallel sides.

A trapezoid is a quadrilateral with one pair of parallel sides.

Acute angles are less than 90°

Right angles are exactly 90°

Obtuse angles are more than 90°

Acute triangle has three acute angles.

Right triangle has one right angle.

An obtuse triangle has one obtuse angle.

Isosceles triangle has the minimum of two sides that are equal length.

Equilateral triangle has three sides that are at an equal length.

Scalene triangles have three sides of different lengths,

Acute triangles with three equal sides are called an equiangular triangle.

Answer:

Here,

Angle TUV + Angle NUV=TUV

By substituting the provided or given value ls in the question we obtain,

1+38x+66 Degree= 105x

1+66 Degree= 67x

67 Degree= 67x

1 Degree = x

x = 1 Degree

Therefore

Angle TUN=1+38x=39

Angle NUV=66 Degree

Therefore

1+38x+66 Degree= 105x

=39 Degree+66 Degree= 105 Degree

Therefore

Angle TUV=105 Degree

Hi there!

[tex]\large\boxed{9(x - 1)^{2}}[/tex]

9x² - 18x + 9

We can begin by factoring out a 9 from each term:

9(x² - 2x + 1)

Now, find two terms that add up to -2 and equal 1 when multiplied. We get:

9(x - 1)(x - 1)

Or:

9(x - 1)²

Answer:

x = 5±√3

Step-by-step explanation:

Equation: (x-5)² = 3

Step 1: Take the square root of both side of the equation

√(x-5)² = ±√3

x-5 = ±√3

Step 2: add 5 to both side of the equation

x-5+5 = 5±√3

x = 5±√3

Hence, from the options above, the right answer is

B. x = 5±√3

Answer:

Step-by-step explanation:

Given that:

[tex]f_x = \dfrac{x^2}{a^7-x^7}[/tex]

[tex]= \dfrac{x^2}{a^7(1-\dfrac{x^7}{a^7})}[/tex]

[tex]= \dfrac{x^2}{a^7}\Big(1-\dfrac{x^7}{a^7} \Big)^{-1}[/tex]

since  [tex]\Big((1-x)^{-1}= 1+x+x^2+x^3+...=\sum \limits ^{\infty}_{n=0}x^n\Big)[/tex]

Then, it implies that:

[tex]\implies \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\Big(\dfrac{x}{a} \Big)^{^7} \Big)^n[/tex]

[tex]= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x}{a} \Big)^{^{7n}}[/tex]

[tex]= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x^{7n}}{a^{7n}} \Big)}[/tex]

[tex]\mathbf{= \sum \limits ^{\infty}_{n=0} \dfrac{x^{7n+2}}{a^{7n+7}} }}[/tex]

Answer:

There are no shortcuts to scaling successfully. It takes just as much — or more — work as it did to start the company in the first place. Take control of the transition. Get organized with tools that support your employees in their day-to-day roles, making it easier for them to get more done as the company grows.

Answer:

[tex]P = 8 + 2\sqrt{26}[/tex]

Step-by-step explanation:

Given

[tex]W = (-2, 4)[/tex]

[tex]X = (2, 4)[/tex]

[tex]Y = (1, -1)[/tex]

[tex]Z = (-3,-1)[/tex]

Required

The perimeter

First, calculate the distance between each point using:

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

So, we have:

[tex]WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4[/tex]

[tex]XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}[/tex]

[tex]YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4[/tex]

[tex]ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}[/tex]

So, the perimeter (P) is:

[tex]P = 4 + \sqrt{26} + 4 + \sqrt{26}[/tex]

[tex]P = 8 + 2\sqrt{26}[/tex]

The perimeter of parallelogram WXYZ is 8 + 2√26 units

In order to determine the required perimeter of the parallelogram, we will use the distance formula as shown:

D= √(x2-x1)²+(y2-y1)²

Given the coordinate of the parallelogram shown as:

W(-2, 4)

X (2, 4)

Y(1, -1)

Z(-3, -1).

Since it is a parallelogram, the opposite sides are equal that is:

WX = YZ and XY = WZ
WX = YZ = √(x2-x1)²+(y2-y1)²
WX = YZ = √(2+2)²+(4-4)²

WX = YZ =√(4)²

WX = YZ = 4 units

Similarly

XY = WZ = √(2-1)²+(4+1)²

XY = WZ = √(1)²+(5)²

XY = WZ = √26

Perimeter = 2(4)+ 2(√26)

Perimeter = 8 + 2√26

Hence the perimeter of parallelogram WXYZ is 8 + 2√26 units

Learn more on perimeter of parallelogram here: https://brainly.com/question/11185474

Answer:

ok so if the lion is 3 times bigger we have to multiply the length of the cat by

3

3*76=228

so the lion is 228 cm long

now we divide by 100 for meters

228 divided by 100=2.28 meters

Hope This Helps!!!

Answer:

2.28 Meters

Step-by-step explanation:

If the lion is 3 times as long as the cat and the cat is 76cm long you just multiply 76*3=228 convert that to meters and it gives you 2.28 meters in length for the lion

Answer:

(D.) 3x^2 + 6x

Step-by-step explanation:

the other options aren't complete and some don't even create a parabola.

Answer:

270 plates

Step-by-step explanation:

First, you need to find how much one plate costs.

6x = 54

----    ----

6       6

x = 9

Now, multiply 30 plates with x, which is 9.

30(9) = 270

The answer is 270.

Answer:

270

Step-by-step explanation:

54($)÷6= 9 then 9×30=270

Answer:

D

Step-by-step explanation:

solution is the points where the two graphs intersect.

they intersect at (-3,-3) and (0,6)

Answer:

C. ⅐

Step-by-step explanation:

Recall: the slope of a line that is perpendicular to another is the negative reciprocal of the slope of the other line that it is perpendicular to.

Thus:

Slope of red line = -7

The green line that is perpendicular to the red line will have a slope that is the negative reciprocal of -7.

Negative reciprocal of -7 = ⅐

The slope of the green line is therefore ⅐

Answer:

In Picture

Step-by-step explanation:

Brainliest please~