4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 37% of all American adults have some college education. An American adult is randomly selected. a. What is the probability that the adult owns stock and has some college education

Answers

Answer 1

Answer:

P (S∩E)  = 0.1591

Step-by-step explanation:

Let the stockholders be donated by S then the P (s)= 0.43

Let the stockholders having some degree be donated by D then the P (d)= 0.75

Let the American having some college degree be donated by E then the

P (E)= 0.37

As the events are independent their joint probability can be found by multiplying the individual probabilities

P (S∩E)  = P(s) . P (E)= 0.43 * 0.37= 0.1591


Related Questions

what is the branch of mathematics that uses variables and operations?

Answers

Answer:

Algebra

Step-by-step explanation:

Answer:

algebra, you can check on google as well

Molly’s hair was 20 inches long . Three years later it was 35 inches long

Answers

Answer:

Step-by-step explanation:

75

Which expression is equivalent to -4(w-1)

4w-4
4w
-4w+4
-5w
None of the above

Answers

Answer:

-4w+4

Step-by-step explanation:

Answer:

-4w+4 Is te correct answer

Write an equation in slope-intercept form for the line with slope 2/5 and y-intercept -6 .

Answers

Answer:

[tex] y = \frac{2}{3}x - 6 [/tex]

Step-by-step explanation:

Recall that the the equation of a line in slope-intercept form is given as [tex] y = mx + b [/tex].

m = the slope of the line

b = the y-intercept. This is the point at which the line intercepts the y-axis.

We are given:

slope (m) = ⅖

y-intercept (b) = -6

All you need to do to get an equation of the line is to simply substitute m = ⅔ and b = -6 into [tex] y = mx + b [/tex].

[tex] y = \frac{2}{3}x + (-6) [/tex]

[tex] y = \frac{2}{3}x - 6 [/tex]

The equation for the line is .[tex] y = \frac{2}{3}x - 6 [/tex]

In 2 /3 ÷ 4 /5 the is 2/ 3 .

Answers

Answer:

5/9

Step-by-step explanation:

2/3 • 5/2 • 2/3

1/3 • 2/5 • 2/3

multiply 1/3 for 5/2

5

-----------

3 • 2

multiply 3 for 2

5/6 • 2/3

anular el factor común 2

5/3 • 1/3

multiply 5/3 for 1/3

5

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

3 • 3

multiply 3 for 3

5/9

the result

5/9

form decimal

0.5

PLEASE HELP ASAP
IT AN EMERGENCY



Answers

Answer: E) Not enough information

We're given two pairs of congruent sides, and a pair of congruent angles. The angles are not between the two congruent sides. So we don't have enough information to know if the triangles are congruent or not. SSA is not a valid congruence theorem. This is because there are some cases where two triangles are possible leading to ambiguity.

If the marked angles were between the tickmarked sides, then we could use SAS.

THIS IS DUE TODAY! PLEASE ANSWER!: Find the value of 'X' in the triangle below

Answers

Answer:

Step-by-step explanation:

First find the angle in the lower left.

180 - 100 = 80

3x + 2x + 80 = 360

solve for x

5x = 280

5x/5 = 280/ 5

x = 56

Plug this in to make sure the equation is true

3(56) + 2(56) + 80 = 360

168 + 112 + 80 = 360

360 =360

Therefore x = 56

Which equation has the solution n = 11?
7n - 8 = 62
8n + 6 = 102
3n + 12 = 45
5n - 20 = 25
URGENT!!!

Answers

Answer:

3n + 12 = 45

Step-by-step explanation:

3n + 12 = 45

3n = 45 - 12

3n = 33

n = 33

3

n = 11

Answer:

3n + 12 = 45

Step-by-step explanation:

*Process of elimination*

___________________

3n + 12 = 45

(given)

_________

3n + 12 = 45

- 12 - 12

(subtraction property of equality)

__________________________

3n = 33

÷ 3 ÷ 3

(division property of equality)

_______________________

n = 11

_____

7n - 8 = 62

(given)

________

7n - 8 = 62

+ 8 + 8

(addition property of equality)

__________________________

7n = 70

÷ 7 ÷ 7

(division property of equality)

_______________________

n = 10 ≠ 11

________

8n + 6 = 102

(given)

________

8n + 6 = 102

- 6 - 6

(subtraction property of equality)

__________________________

8n = 96

÷8 ÷8

(division property of equality)

_______________________

n = 12 ≠ 11

________

5n - 20 = 25

(given)

________

5n - 20 = 25

+ 20 + 20

(addition property of equality)

__________________________

5n = 45

÷5 ÷5

(division property of equality)

_______________________

n = 9 ≠ 11

Please help me with this problem please ;(

Answers

9514 1404 393

Answer:

  -2

Step-by-step explanation:

The average rate of change on the interval [3, 9] is ...

  (f(9) -f(3))/(9 -3) = (41 -53)/(9 -3) = -12/6 = -2

A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of LaTeX: 50cm^3/hr. At what rate is it's diameter decreasing

Answers

Complete question is;

A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?

Answer:

Diameter is decreasing at the rate of 5/(2πr) cm/hr

Step-by-step explanation:

We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;

dV/dt = -50 cm/hr

Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;

V = πr²h

dV/dr = 2πrh

Now,to find the rate at which the diameter is decreasing, we'll write;

dr/dt = (dV/dt)/(dV/dr)

dr/dt = -50/(2πrh)

We are given;

Diameter = 200 cm

Radius; r = 200/2 = 100 cm

Thickness; h = 10 cm

Thus;

dr/dt = -50/(2π × r × 10)

dr/dt = -5/(2πr) cm/hr

The rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex] and this can be determined by using the given data.

Given :

A 10 cm thick grindstone is initially 200 cm in diameter and it is wearing away at a rate of 50 [tex]\rm cm^3/hr[/tex].

The following steps can be used in order to determine the rate at which grindstone diameter decreases:

Step 1 - According to the given data, the rate at which grindstone volume decreases is:

[tex]\dfrac{dV}{dt} = 50\;{\rm cm^3/hr}[/tex]        --- (1)

Step 2 -  The formula of the volume of the cylinder (grindstone) is given below:

[tex]V = \pi r^2 h[/tex]

Step 3 - Differentiate the above expression with respect to 'r'.

[tex]\dfrac{dV}{dr} = 2\pi r h[/tex]          --- (2)

Step 4 - So, using the expression (1) and (2) the rate at which grindstone diameter decreases is:

[tex]\dfrac{dr}{dt}=\dfrac{\frac{dV}{dt}}{\frac{dV}{dr}}[/tex]

[tex]\dfrac{dr}{dt}=\dfrac{-50}{2\pi r \times 10}\\[/tex]

[tex]\dfrac{dr}{dt} = -\dfrac{5}{2\pi r }\; {\rm cm/hr}[/tex]

So, the rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex].

For more information, refer to the link given below:

https://brainly.com/question/12748872

Is this a function or not a function? (Picture)

Answers

Answer:

Not a Function

Step-by-step explanation:

Write and equation of a line perpendicular to y=-5x+8 and passes through (10,4)

Answers

im not sure just yet

△BCD≅△GEF . If BC=10 , CD=3x+8 and EF=4x+6 , then what is the measure of CD ?

Answers

Given :-

ΔBCD ≅ ΔGEF

Then :-

∠B <=> ∠G ( ∠B = ∠G )

∠C <=> ∠E ( ∠C = ∠E )

∠D <=> ∠F ( ∠ D = ∠F )

BC <=> GE ( BC = GE )

CD <=> EF ( CD = EF )

BD <=> GF ( BD = GF )

Using this let us find CD .

CD = EF

Which means :-

[tex] 3x + 8 = 4x + 6[/tex]

[tex]8 = 4x + 6 - 3x[/tex]

[tex]8 = 1x + 6[/tex]

[tex]1x + 6= 8[/tex]

[tex]1x = 8 - 6[/tex]

[tex]1x = 2[/tex]

[tex]x = 2[/tex]

Then :-

EF =

[tex]EF = 4x + 6 \\ = 4 \times 2 + 6 \\ = 8 + 6 \\ = 14[/tex]

CD =

[tex]CD = 3x + 8 \\ = 3 \times 2 + 8 \\ = 6 + 8 \\ = 14[/tex]

Therefore , CD = 14 .

△BCD≅△GEF

The measure of CD is 14

Given :

Two triangles are congruent

△BCD≅△GEF

When triangles are congruent then the sides are equal

[tex]BC=GE\\CD=EF\\DB=FG\\[/tex]

Given that CD=3x+8 and EF=4x+6

[tex]CD=EF\\3x+8=4x+6\\3x+8-3x=4x-3x+6\\8=x+6\\8-6=x+6-6\\x=2[/tex]

The value of x=2

Now we find measure of CD

[tex]CD=3x+8\\CD=3(2)+8\\CD=14[/tex]

The measure of CD is 14

Learn more :  brainly.com/question/18373823

whats the answer of 3/4 + 1/4 =

Answers

Answer:

1

Step-by-step explanation:

3/4 + 1/4 since they both have a 4 as the denominator you only have to add the top since they made it easy. and since that would be 4/4 your answer would be 1 whole.

In the past, patrons at a cinema spent an average of $ 2.50 for popcorn with standard deviation of $ 0.90. The amount of these expenditures is normally distributed . Following an intensive public campaign about the negative health effects of eating popcorn by a local medical school, the mean expenditures for a sample of 18 patrons is found to be $ 2.10. At 0.01 level of significance, does this recent experience suggest decline in spending

Answers

Answer:

There's no evidence to show that the recent experience suggests a decline in spending.

Step-by-step explanation:

We are given;

Population mean; μ = $2.5

Population Standard deviation; σ = $0.9

Sample mean; x¯ = $2.1

Sample size; n = 18

Significance level; α = 0.01

Let's define the hypothesis;

Null hypothesis; H0: μ ≥ $2.5

Alternative hypothesis; Ha: μ < $2.5

z-score formula is;

z = (x¯ - μ)/(σ/√n)

z = (2.1 - 2.5)/(0.9/√18)

z = -0.4/0.2121

z = -1.886

Using the p-value from z-score calculator attached and using z = -1.886; α = 0.01; one tail; we have;

P-value = 0.2965

This is more than the significance level. Thus, we will fail to reject the null hypothesis and conclude that there is no evidence to show that the recent experience suggests a decline in spending.

Which of the following represents this function written in intercept form
y= - x2 – x+ 6

A. v= - (x − 2)(x+3)
B. v= (-x+3)(x-4)
c. v= - (x + 2)(x+6)
D. v= - (1+2)(1-6)

Answers

Answer:

v=2(x - 1)(x-6)=2(x²-6x-x+6)=12x²-12x-2x+12

v = 12x²-14x+12  standard form

Step-by-step explanation:

f(x) = (2x² – 3)^(-2a? – 9)11

Answers

Answer:

-44ax^2-198x^2+66a+297

Step-by-step explanation:

there

The centers of two small metal spheres with a charge of 7.4 × 10−8 C are 10 cm from each other. a) What is the electric force between them? b) One of the spheres touches another identical neutral one, what is now the electric force if they are kept at the same distance? The constant in the Coulomb's law expression is k = 9.0 × 109 Nm2C2.

Answers

Georgia Washington was the election compadre

Answer:

answer is 9 in th by form of the good answer is the to k=9.0 10á gd gd

if a number contains decimal places then it is an irrational number​

Answers

Answer:

sometimes true

Step-by-step explanation:

What are the similarities and differences between translations, reflections, and rotations? Describe a real-world transformation? Give examples of two different transformations.

Answers

Answer:

There are four main types of transformations: translation, rotation, reflection and dilation.Translation moves the object without rotating it or changing its size. Reflection flips the object about a line of reflection. Rotation rotates a figure about a fixed point. Dilation changes the size of a figure without changing its essential shape.When you reflect a point across the x-axis, the x-coordinate remains the same,but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction.Transformation can be done in a number of ways, including reflection, rotation, and translation. ~When you reflect a point across the x-axis, the x-coordinate remains the same,but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction.

Step-by-step explanation:

Transformation simply means changing the size and location of shapes, lines and points in the coordinate geometry

The similarities

Translations, reflections, and rotations are all rigid transformations

This means that, they do not change the side lengths and angle measure of the shape they transform.

The differences

Translation: can only change the position of shapes without rotating or flipping the shape.

Rotation: This means that a shape is to be turned around a center at a particular degree

Reflection: This simply means that, a shape is mirrored over a line

Real-world transformation

A scenario is when the blades of a fan rotates when the fan is powered on

Examples

Reflection

MirrorLeaves of a book

Rotation

Fan rotationWheels of vehicle

Translation

Movement Changing positions

Read more about transformations at:

https://brainly.com/question/13801312

Please help if you know how to do this, thanks

Answers

9514 1404 393

Answer:

  4) y = -3(x+2)^2 +4; y = -3x^2-12x-8; ABC=(-3, -12, -8)

  5) y = 0.5(x-1)^2-2; y = 0.5x^2-x-1.5; (h,k) = (1, -2)

  6) y = -0.3(x+2)^2-6; y = -0.3x^2-1.2x-7.2; (h,k) = (-2, -6)

Step-by-step explanation:

Writing a quadratic equation through a set of points is most easily done using the regression function of a graphing calculator or spreadsheet.

4) see the first attachment

  y = -3(x+2)^2 +4 . . . vertex form

  y = -3x^2 -12x -8 . . . standard form (A, B, C) = (-3, -12, -8)

__

5) see the second attachment

  y = 0.5(x -1)^2 -2 . . . vertex form; vertex = (1, -2)

  y = 0.5x^2 -x -1.5 . . . standard form

__

6) see the third attachment

  y = -0.3(x +2)^2 -6 . . . vertex form; vertex = (-2, -6)

  y = -0.3x^2 -1.2x -7.2 . . . standard form

_____

Doing this without machine help requires you pick a form of the equation you want, fill in the x- and y-values for three of the given points, then solve the resulting equations for the unknown parameters. Usually, we use the form ...

  y = ax^2 +bx +c

which will result in three linear equations for a, b, c. Those can be solved by any of the usual methods.

The width of a rectangle is 1.8 meters. The perimeter is 6.6 meters. What is the length? Provide your answer below:

Answers

Answer:

perimeter =2(l+w)

6.6=2(l + 1.8)

6.6= 2L + 3.6

L=3/2 =1.5

ans =1.5

Which of the following equations has exactly one solution?
O A. 4x - 4 + 2x = 6x - 4
O B. 2(4x + 5) = 8x + 10
C. 4x - 8 = 4(x - 4)
O D. 3x + 5 = 2x - 6

Answers

It would be b because

question 10 I mark as brainliest ​

Answers

Answer:

134 is the answer

Answer: 134

Step-by-step explanation:

54+ (48+72) x 2/3

54+120x2/3=134

5d+1/2=d-4 section 2.04

Answers

Answer:  d = -9/8

Steps: 5d + ½ = d - 4

Subtract ½ from both sides: 5d + ½ - ½  = d - 4 - ½

Simplify: 5d = d - 9/2

Subtract d from both sides: 5d - d = d - 9/2 - d

Simplify: 4d = -9/2 ÷ 4

Simplify: d = -9/8

PLz mark brainliest:)

Help I’ll mark you as the brainliest
No answer choice
parallel to y = 5x – 7 but contains (-1,-3)

Answers

Answer:

-3 = -12

Step-by-step explanation:

Have a great day

I hope that is the answer you are looking for :)

How can you use the order of operation to explain why you cannot combine the variable terms before using the distributive property when solving the equation 7(x+5)-x=42

Answers

Answer:

Step-by-step explanation:

The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.

This standard is critical to simplifying and solving different algebra problems. Without it, two different people may interpret an equation or expression in different ways and come up with different answers. The Order of Operations is shown below.

Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.

Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.

Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.

Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.

Before we begin simplifying problems using the Order of Operations, let's examine how failure to use the Order of Operations can result in a wrong answer to a problem.

Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways

We cannot combine the variable terms before using the distributive property when solving the equation as it will results in wrong answer.

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

Here the expression given is :

7(x+5)-x=42

The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.

Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.

Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.

Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.

Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.

Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways.

Read more about property of multiplication here :

https://brainly.com/question/14391436

#SPJ2

Anyone know how to do this? I’m stuck

Answers

I’ll make it easier, so for number 2 on number 6 7/8 times 8 and 6 and you have 48, then add the top number which would be 55. Then for the second number, 4 1/3 do the same thing! 4*3= 12+1= 13 then add 13+55 and your answer is 68! Then put it in fraction form! 17/25, then all you do is simplify it! If it can’t be simplified (17/25 can not be simplified), it stays the same. Hope that helps! :)

Solve the following equation
4(3-2x)=15

Answers

Answer:x= -3/8

Step-by-step explanation:

Answer:

-3/8

Step-by-step explanation:

4(3-2x)=15

-3/8


Adam has two kinds of fruit punch left over from a party. He mixes 5 liters of fruit punch A with 10 liters of fruit punch B to create fruit
punch C. Fruit punch A contains 25% orange juice and the resulting fruit punch C contains 35% orange juice.
What percent orange juice does fruit punch B contain?
OA. 20%
OB. 50%
OC. 40%
OD 25%

Answers

Answer:

A. 20%

Step-by-step explanation:

fruit punch A is half of fruit punch B so times 35 by 2 and then subtract 50. 50 came from 25 times 2.

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Amazing!3 His eyes lit on Jeremys kitbag.4 You do have everything you need, dont you?5 Jeremy nodded. The bag was really just a prop, but he kept it packed as if he were going to run every day. When he failed at the quota lottery, he had thought that his one time in the Olympic stadium, marching in the opening ceremony, had been his last. Nevertheless, he kept training, packing in sweat-soaked hours between the endless interviews, blogs, picoblogs, interactives, and all the other appearances and promotions he did to boost the teams profile. If Jeremy couldnt run, he could still serve the team. The team media people loved his dedication to workouts; they said he was so authentic.6 But he wasnt doing it for them.7 He hurried to the pre-competition area, security guards looking at him in amazement as they scanned his pass.8 The charging room smelled of machine oil with a tang of hot metal. But there was something else.9 Jeremy sniffed the air carefully: liniment1. Here there was another human athlete preparing to compete against a field of machines. Jeremy followed his nose through the room full of tables, each bearing a robot athlete lying down, surrounded by a busy group of technicians. Some tables had a cluster of tubes and wires emerging from the floor with a red rectangle painted around it and the word Danger stenciled on the smooth concrete. As Jeremy detoured around one, he came upon a robothlete that smelled of burnt insulation. The technicians sat near the table chatting. This must be the reason he had been summoned from the studio.10 Jeremy pushed through a curtain that created a makeshift changing area in one corner of a huge work area. The corner was free of tools, computer terminals, and machinery. In fact, the whole corner was empty except for a woman with blond hair in tight braids, dressed in running gear.11 Hi, Im Amy, the woman said with a smile. She looked at the sports bag slung over Jeremys shoulder. 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The crowd wanted to watch the best, but they also loved to cheer for the underdog, and there was no doubt about which athletes were the underdogs.16 The robothletes musclesbrushless motors, actuators run by rare Earth magnets, pistons driven by high-pressure nitrogendidnt accumulate fatigue acids as they ran. Robothletes didnt take years to learn the rhythms of racing or how to judge the pacing between hurdles; they just downloaded the programs from their most successful predecessors and measured distances with laser and ultrasonic rangefinders. Decades had passed since a human had beaten a robothlete.17 On your marks, ready18 The starting pistol cracked. Jeremy sprang off the blocks faster than he ever had before. He catapulted ahead of Amy. Even so, the robothletes raced ahead of him.19 Jeremy came up on the first hurdle so fast that he was afraid he had overshot his mark, but he flowed over it as if it werent there. He could hear the whir of motors and the blasts of exhaust gas from the robothlete to one side of him. They reached the second hurdle and jumped together, but the robothlete took it just a millimeter too low, grazing the top of the hurdle. Perhaps its handlers had tweaked the software to shave milliseconds off its time, but the risk didnt pay off. The robothlete landed badly and went down. It didnt get up. Running robots were not programmed to get up; a fall guaranteed a loss, so there was no point in trying. Jeremy twisted in midair to avoid the fallen machine, landed still running, gauged his distance, and drove himself even harder for the next hurdle. Determine whether each linear expression is a factor of the polynomial.X^4+x^3-17x^2+15xA. X+3B. X+5C. X-1 Analyze the word to determine its Greek prefix. Then use your understanding of the prefix meaning to choose the correct meaning of the word. endodermis the outer layer of skin the inner layer of skin all skin {3x^2-4x-1} - {5-2x+x^2 help use the facts that water has a higher specific heat than rock (such as Granite) to explain the differences in the temperature curves for the two cities in the graph. Lemonade was on sale last week ;it cost $12 for every 4 packs of lemonade.How much do 2 packs of lemonade cost