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

HELPPPPPPPPP ASAPPPPPP PLSSSS EASY

Answers

Answer:

im deaf and i can't see

Step-by-step explanation:im - deaf - and - i - cant - see

(-1) + (-1) + (-1) + (-1) + ... 500 times =
(a) 500
(b) 1
(c) -1
(d) -500​

Answers

Answer:

D

Step-by-step explanation:

(-1) + (-1) = -2... so 500 times... it would be -500.

If C=X + 6 and D=3X -6 + 4x to the second power of 4x if an expression that equals C + 3D in standard form.

Answers

Answer:

3=3y4/i94 =78

Step-by-step explanation:

What is -9.5-(-8)-6.5 show your work step-by-step.

Answers

Answer:

-8

Step-by-step explanation:

-9.5-(-8)-6.5  There are two negatives next to each other, so it's a positive.

-9.5+8-6.5     We want to use the order of operations, so first we can add.

-9.5+8=-1.5     The problem now looks like...

-1.5-6.5           Finally, just subtract.

-8                     8 is your answer!!

I hope this helped you...have a wonderful day c:

how do I solve for 3(2x-1)+2x=4x-11

Answers

Answer:

x=-2

Step-by-step explanation:

3(2x-1)+2x=4x-11

6x-3+2x=4x-11

8x-3=4x-11

8x=4x-8

4x=-8

x=-2

The answer to the equation is [tex]x=-2[/tex]

First, you must use distributive property to simplify the equation.

[tex]6x-3+2x=4x-11[/tex]

Then, you must combine like terms.

[tex](6x+2x)-3=4x-11[/tex]

[tex]8x-3=4x=11[/tex]

Next, you must subtract 4x on each side

[tex]4x-3=-11[/tex]

Then, add 3 on both sides

[tex]4x=-8[/tex]

Finally, divide both sides by 4

[tex]\frac{4x}{4} =\frac{-8}{4}[/tex]

[tex]x=-2[/tex]

Lana draws ΔLMN on the coordinate plane. What is the perimeter of ΔLMN? Round to the nearest unit.

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Graph the equation and identify the asymptotes. y = x^2 - x + 1 / x + 1

Answers

The asymptotes: y= x + 1

Graph: In the picture provided

Answer:

D

Step-by-step explanation:

Find 4 consecutive odd numbers whose sum is 112

Answers

Answer:

25, 27, 29, 31.

Step-by-step explanation:

25+27+29+31= 112

112 divided by 4=
28
Now 28 is the midpoint so you find two odd numbers before and after it. be careful to not include 28 as it is even.
25,27,29,31

What is the solution to
9x - 8 = 9x + 6 ?

Would it be x=0 or no solution?

Answers

Answer:

no solution

Step-by-step explanation:

the x's cancel out, and if you plug in 0 for x, you get -8=6 (which isn't true)

Amy took 4 science quizzes. On her first Quiz, she got 21 out of 25 of the Quiz correctly. On the second quiz, she answered 25 out of 27 correctly. On the third and fourth quizzes, she answered 88% and 92% of the questions correctly, respectfully. Order Amy's quiz scores from greatest to least.

Answers

Answer:

25 out of 27 : she missed 2 points92%88%21 POUT OF 25

HOPE THIS HELPS!

First, we should change the first two into percentages to make ordering them easier-

Do 21/25, which equals .84 ; you then move the decimal a couple places to get 84. That’s 84%.

Next, do the same steps to find the percentage of 25 out of 27; you would get 92.6 (rounded from 92.59)

So, knowing the percentages of those two, you can now order them from greatest to least, which would be as following:

25/27, 92%, 88%, and 21/25.

Hope that helped!

What is the correct standard form for 20 + 8 + 0.3 + 0.007.

Answers

Answer:

28.307

Step-by-step explanation:

:)

hope this answers your question.

Answer:

Step-by-step explanation:

The list shows numbers in order from least to greatest. Negative 15, negative 3 and four-fifths, negative 1.5, blank, 2.3, 5 and two-thirds Which is an integer that can be inserted on the blank line in the list? A. –2 B. Negative 1 and one-third C. 0 D. 1.2

Answers

Answer:

The correct option is option C

Step-by-step explanation:

Here we want an integer that can be inserted into the blank.

We have:

-15 , -3 4/5 , -1.5 , blank , 2.3 , 5 2/3

The integer that must be inserted into the blank should have a value between -1.5 and 2.3

What this means is that it should be greater than -1.5 but less than 2.3

Option A is incorrect since -2 itself is less than -1.5

option B is incorrect as it not an integer ( integer are whole numbers)

option C is correct

D. option D is incorrect since it is not an integer

Answer:

C

Step-by-step explanation:

2
Neena is listening to a song. It has a consistent beat. She counts 11 beats in
5 seconds. What is the constant of proportionality for the relationship of beats
to minutes? Show your work.

Answers

Answer:

132

Step-by-step explanation:

First, find how many beats are in a minute by creating a proportion:

[tex]\frac{11}{5}[/tex] = [tex]\frac{x}{60}[/tex]

Cross multiply and solve for x:

5x = 660

x = 132

So, there are 132 beats in one minute.

This means the constant of proportionality is 132.

The proportional relation is y= 2.2x

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Neena counts 11 beats in 5 seconds

So, x=11 and y=5

Using the proportionality

y = k x

k= y/x

k= 11/5

k= 2.2

Hence, the proportional relation is y= 2.2x

Learn more about proportion here:

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The owner of a small store buys coats for ​$55.00 each.He sells the coats for ​$66.00 each. What percent of the purchase price is the sale​ price?

Answers

83 % is the correct answer :)

Answer:

nnnnnnnnnnknbiibbs

Step-by-step explanation:

A lottery game called Quinto is played by choosing five numbers each, from 0 through 9 how many numbers are possible?

Answers

Answer:

0-9 gives you 10 possibilites.

10x10x10x10x10=100,000

Step-by-step explanation:

A lottery game called Quinto is played by choosing five numbers each, from 0 through 9,  there are 10 possibilities

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  lottery game called Quinto is played by choosing five numbers each, from 0 through 9

Therefore, we are asked to find the number of possibilities.

10 x 10 x 10 x 10 x 10

=100,000

Thus, there are 100,000 number

This means that from 0 through 9 there are 10 possibilities.

Hence, A lottery game called Quinto is played by choosing five numbers each, from 0 through 9,  there are 10 possibilities

Learn more about multiplications;

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pls help!!! will give brainliest

Answers

Answer:

B

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

-5° plus 5° equals 0

What is the perimeter of the composite figure? Round to the nearest tenth

Answers

Answer:

123.8 units

Step-by-step explanation:

The vertices of the polygon has been labelled ABCDEF, as shown in the diagram attached below.

Perimeter of the Polygon = [tex] \overline{AB} + \overline{BC} + \overline{CD} + \overline{DE} + \overline{EF} + \overline{FA} [/tex]

[tex] \overline{AB} [/tex] = |-12 - 24| = |-36| = 36 units

[tex] \overline{BC} [/tex]: calculate the distance between B(24, 16) and C(15, 3) using the distance formula.

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

[tex] \overline{BC} = \sqrt{(24 - 15)^2 + (16 - 3)^2} [/tex]

[tex] \overline{BC} = \sqrt{(9)^2 + (13)^2} [/tex]

[tex] \overline{BC} = \sqrt{81 + 169} = \sqrt{250} [/tex]

[tex] \overline{BC} = 15.8 units [/tex]

[tex] \overline{CD} [/tex] = |6 - 15| = |-9| = 9 units

[tex] \overline{DE} [/tex] = |3 -(-12)| = |-15| = 15 units

[tex] \overline{EF} [/tex] = |-12 - 6| = |-18| = 18 units

[tex] \overline{FA} [/tex] = |18 -(-12)| = 30 units

Perimeter = 36 + 15.8 + 9 + 15 + 18 + 30 = 123.8 units

Find the value of x. The diagram is not to scale.

Answers

Answer:

x=30

Step-by-step explanation:

since it is a equilateral triangle, every angle is 60.

so 180-60=120, thus giving how much 5x-30 is.

5x-30=120

150=5x

30=x

hope i helped!!!

PLEASE help its for an exam i would really appreciate it , at the top it says “Drag the tiles to solve the given equation for x and justify step in your solution. you must fill every slot in the table in order for your answer to be scored correctly.”

Answers

Answer:

2A. 2x-7 =3

B. Subtraction property

3A. 2x = 10

B. Addition property

4A. x=5

B. Division property

If c  =  2m + d , which equation represents m ?
A.m=c- d/2
B.m=d-2c
C.m=c/2-d
D.m= c-d/2

Answers

Answer:

c

Step-by-step explanation:

c/2-d

In AJKL, JL is extended through point L to point M, mZLJK = (2x + 2)°,
mZKLM = (82 – 16)°, and m/JKL (3x + 6)". Find mZKLM.

Answers

Answer:

<KLM = 48 degrees

Step-by-step explanation:

According to the instructions, we construct the triangle JKL and extend the side JL to point M. The information about the angles is shown in the attached image.

Recall that the addition of all internal angles of a triangle must give 180 degrees.

The angles we need to complete the addition is angle <JLK, which happens to be the supplementary angles to angle <KLM

Therefore <JLK = 180 - (8 x - 16) = 180 - 8 x + 16 = 196 - 8 x

The we can now solve for "x" in the equation of addition of internal angles of a triangle:

(2 x + 2) + (3 x + 6) + (196 - 8 x) = 180

Combining like terms on the left

- 3 x + 204 = 180

subtracting 204 from both sides:

- 3 x = 180 - 204

- 3 x = - 24

divide both sides by "-3" to isolate x

x = - 24 / (-3)

x = 8 degrees

Now that we know "x", we can find the measure of angle <KLM via its formula:

<KLM = 8 x - 16 = 8 (8) - 16 = 48 degrees

Gina works in a clothing store. At noon, she has $125 in the cash register. James gives her $60 for a sweater, and she gives him $7 change. Hana then gives her $40 for a blouse and receives $3 change. Use a series of addition equations to find out how much money Gina has in her cash register at the end of these sales.

Answers

Answer:

$90

Step-by-step explanation:

$125 + $60 - $7 + $40 - $3

125 + (60 + -7) + (40 + -3)

Maybe?

The components of a vector are Ax = –10 units and Ay = 8 units. What angle does this vector make with the positive x axis? g

Answers

Answer:

This vector make an angle of 141° with the positive x axis

Step-by-step explanation:

Refer the attached figure

Components of vector :

[tex]A_x=-10 \\A_y = 8[/tex]

We are supposed to find  What angle does this vector make with the positive x axis

[tex]tan \theta =\frac{A_y}{A_x}\\tan \theta =\frac{8}{-10}\\\theta =tan^{-1}(\frac{8}{-10})\\\theta =tan^{-1}(\frac{8}{-10})=-38.65^{\circ}[/tex]

Now ,

[tex]\alpha = 180-38.65=141.35^{\circ}[/tex]

So, this vector make an angle of 141° with the positive x axis

The length of a rectangle is three times its width.
If the perimeter of the rectangle is 56 yd, find its area.

Answers

Answer:

147 yards

Step-by-step explanation:

Use a system of equations

Let x be length of rectangle and y be width of rectangle

x = 3y

2x + 2y = 56

Substitute x = 3y into second equation, we have 2(3y) + 2y = 56. Combine like terms and we have 8y = 56. y = 7.

Substituting y = 7 into the first equation, we have x = 3(7), and x = 21.

Area is length times width, so area is 21 * 7 = 147

Answer:

area= 147 yd

Step-by-step explanation:

l= 21 yd

w= 7 yd

Formula: a=lxw (area=length x width)

a=21 x 7

21 x 7=147 yd

What is (-2,-2) and (-10,-9) on slope

Answers

Answer:

y=7/8x

Step-by-step explanation:

You use y2-y1/x2-x1 so we plug in the numbers into the equation

-9-(-2)/-10-(-2)=7/8

y=7/8x if in slope-intercept form

49-3m=4m+4 please help

Answers

Answer:

m = 45/7

Step-by-step explanation:

move terms :

49 - 3m - 4m = 4

-3m - 4m = 4 - 49

collect like terms

-7m = 4 - 49

-7 = -45

divide both sides of the equation by -7

= m = 45/7

Answer:

m = 6.43

Step-by-step explanation:

49 - 3m = 4m + 4

1. subtract 4 from both sides

  45 - 3m = 4m

2. add 3m to both sides

  45 = 7m

3. divide by 7

  6.428571429 = m

4. round to nearest hundreths

   6.43

will give brainiest and 20 pts

which expression is equivalent to (xy^-6)^2 for all values of x and y where the expression is defined

Answers

Answer:

The answer is x^2y^-12

The simplified form of the expression  (xy⁻⁶)² is  x²/y¹².

What are some rules of exponents?

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression (xy⁻⁶)².

= (x²y⁻¹²).      (as the exponent of exponent multiply).

= x²/y¹².

learn more about exponents here :

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Hulu has two different subscription prices. You can pay $6.88 per month for the year or $60.00 per year. How much less per month is the annual subscription?

Answers

Answer:

$22.56

Step-by-step explanation:

$6.88 ⋅ 12 = $82.56

So you would have to pay $82.56 per year if you paid $6.88 per month.

$82.56 - $60.00 = $22.56

You would save $22.56 if you paid $60.00 per year.

Hope I helped :)

Please consider Brainliest :)

Parents sometimes yell at their children for leaving the light on in their bedroom when they aren't in the room. If the child's room is lit with two 10 watt bulbs for one extra hour a day for everyday of the year (365), and the cost of energy is $0.068 per kilowatt*hour (kWh), how much money is wasted on lighting that isn't being used, to the nearest cent.

Answers

Answer:

50 cent

Step-by-step explanation:

Given that :

Cost of energy = $0.068 per kilowatt-hour (kWh)

Number of bulbs = two 10 watt bulbs

Converting the power of the bulb to kilowatt :

2 * 10watt = 20 watt

1000 watt = 1 kilowatt

20 watt = x

1000x = 20

x = 20/1000

x = 0.02 kW

Cost of Energy consumed by bulb 1 hour for 365 days :

0.02kW * 1 * 365 * $0.068 = $0.4964

$0.4964 to cent

100 cent = $1

$0.4964 * 100 = 49.64 cent

49.64 = 50 (nearest cent)

here's a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.​

Answers

9514 1404 393

Answer:

  y = 1/2x -3

Step-by-step explanation:

The line rises 1 unit for each 2 horizontally, so the slope is ...

  m = rise/run = 1/2

The line crosses the y-axis at y = -3, so that is the y-intercept.

In slope-intercept form, the equation is ...

  y = 1/2x -3

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