Sociologists want to determine the probability of exactly 4 out of the next 7 individuals they survey earning over
$50,000 dollars per year. The probability of an individual earning over $50,000 a year is 30%. What is the probability of
exactly 4 out of the next 7 individuals that they survey earning over $50,000?
A. 0.07859
B. 0.07651
C. 0.08311
D. 0.09724

The total would be 170 for it all.

Answer:

Step-by-step explanation:

50 + 100 - 2(20) =

150 - 40 =

$ 110 <===

Figures that can also be classified as a parallelogram include a square, rhombus, and rectangle due to their properties of having parallel opposite sides and specific angle characteristics.

Among the given figures, the ones that can also be classified as a parallelogram are square, rhombus, and rectangle. A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel. A square is a parallelogram with all sides equal in length and all angles equal to 90 degrees.

A rhombus is a parallelogram with all four sides of equal length; moreover, the diagonals of a rhombus are always perpendicular to each other due to the properties of the scalar product of vectors.

A rectangle is a parallelogram with opposite sides equal and all angles equal to 90 degrees. A trapezoid, right triangle, and pentagon do not fit the definition of a parallelogram because they do not have both pairs of opposite sides that are parallel.

Answer:

c

Step-by-step explanation:

c

Answer: x=-2+1/3

Step-by-step explanation:

We move all terms to the left:

2x-10-(5x-3)=0

We get rid of parentheses

2x-5x+3-10=0

We add all the numbers together, and all the variables

-3x-7=0

We move all terms containing x to the left, all other terms to the right

Answer: im not sure how you typed this but if its 1.2 x 3 then its 3.6

Step-by-step explanation:

Answer:

Below is the complete answer.

Step-by-step explanation:

Given the row of numbers

25060 12315 86244 97348 36173 32710 80033 16160

As we have to generate 12 random numbers between 01 and 99 from the above row of numbers.

Minimum Value = 01

Maximum Value = 99

25060

Lets take 25060 as seed in the calculator as

25060 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

85 90 62 45 26 97 40 55 67 17 10 32

12315

Lets take 12315 as seed in the calculator as

12315 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

33 20 26 68 73 09 46 14 82 74 17 04

86244

Lets take 86244 as seed in the calculator as

86244 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

54 93 02 50 37 01 86 51 38 28 23 36

97348

Lets take 97348 as seed in the calculator as

97348 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

04 79 01 86 51 02 50 37 38 28 23 36

36173

Lets take 36173 as seed in the calculator as

36173 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

13 03 28 17 14 31 98 47 40 48 68 19

32710

Lets take 32710 as seed in the calculator as

32710 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

22 80 42 03 27 89 98 46 14 31 72 56

80033

Lets take 80033 as seed in the calculator as

80033 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

29 86 51 01 23 64 37 36 35 72 14 59

16160

Lets take 16160 as seed in the calculator as

16160 ➡️ rand

[tex]randInt(1,99,12)[/tex]

Which will generate the following 12 random numbers between 01 and 99.

93 54 72 58 30 14 48 87 99 95 83 29

Keywords: number, random number generator

Learn more about random number generator from brainly.com/question/3795013

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Each person will get [tex]\frac{1}{6}[/tex] cups of nuts.

Step-by-step explanation:

Given,

Quantity of nuts to share = 1/3 cups of nuts

As Dion will share this with his brother, it means,

1 share of Dion, 1 share of his brother = 2 shares

We will divide the quantity of nuts with 2.

Share of each person = [tex]\frac{1}{3}*\frac{1}{2}[/tex]

Share of each person = [tex]\frac{1}{6}[/tex] cups of nuts

Each person will get [tex]\frac{1}{6}[/tex] cups of nuts.

Keywords: fraction, division

Learn more about division at:

#LearnwithBrainly

Answer: 6=1/6(9)

Step-by-step explanation:

Answer:

D) 25x^2-1

Step-by-step explanation:

(5x+1)(5x-1)

25x^2+5x-5x-1

25x^2-1

The graph of function f(x) that crosses the y-axis at (0, 4) and the x-axis at (4, 0) is a straight line with a negative slope, making option a correct.

Considering the information given, the graph of the function f(x) intersects the y-axis at (0, 4) and the x-axis at (4, 0). By determining the slope of the line, which is the change in y divided by the change in x (rac{ ext{rise}}{ ext{run}}), we can conclude that the slope is negative because the line goes down as it goes right.

The slope is  rac{0 - 4}{4 - 0} = -1.

Therefore, option a, stating it is a straight line with a negative slope, correctly describes the graph of function f(x).

The percentage increase in Angie's height is 3 %

Solution:

Given that, In one year, Angie's height went from 58 to 60 inches

To find: percentage increase

The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.

The percent increase is given as:

[tex]\text { percent increase }=\frac{\text { final value - initial value}}{\text { initial value }} \times 100[/tex]

Here in this problem,

Initial value = 58 inches

Final value = 60 inches

Substituting the values we get,

[tex]percent\ Increase = \frac{60-58}{58} \times 100\\\\percent\ Increase = \frac{2}{58} \times 100\\\\percent\ Increase = 0.0344 \times 100\\\\percent\ Increase = 3.45 \approx 3[/tex]

Thus percentage increase in Angie's height is 3 %

Answer:

8% or 80%

Step-by-step explanation:

$13.00 - $5.00 = $8.00

Answer:

25 times

Step-by-step explanation:

125÷5 = 25

5 goes into 125 exactly 25 times. This result is obtained by dividing 125 by 5. The answer is 25.

To determine how many times the number 5 goes into 125, we need to perform division:

This means if you divide 125 by 5, the result is 25, showing that 5 fits into 125 exactly 25 times.

Answer:

Step-by-step explanation:

Hdheidncnfjxhxjd

Answer: Just do 2x4 to get the answer.

Step-by-step explanation:

Answer:

108 ft

Step-by-step explanation:

18x2=36

36+36+18+18=108

Perimeter is the total added amount that surrounds the shape.

The length of the dog pen is twice the width, hence 36 feet. Using the formula for perimeter of a rectangle, the total perimeter of the pen is 108 feet.

To calculate the perimeter of a rectangle, we use the formula 2(length + width). Given the width of the dog pen is 18 feet, and the length is twice the width, we first calculate the length: 2 * 18 feet = 36 feet. With that, we can now calculate the perimeter: 2(18 feet + 36 feet) = 2 * 54 feet = 108 feet. Therefore, the total perimeter of the dog pen is 108 feet.

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Answer

Step-by-step explanation:

Let Vidya's height be x

2x - 50

Answer:

Around 8 pounds: A,NewBorn Baby    (I was 7.8 pounds)

Most likely used in inches: C,length of your nose      

Complete the statement. 8 c = C,4pt

7 3/5 ft = C

Little Explanation:

Around 8 pounds is a newborn because I was about 8 pounds, a large dog would weigh WAYYY more than that!

We might measure nose length with inches.  Centimeter might be used occasionally, but inches is more common.  (proccess of elimination)

2 Cups = 1 pint.   8 divided by 2 is 4.

1 yard is 3 feet, therefore you can only think it's 2 8/15

Contact for questions!!!

Final answer:

A newborn baby typically weighs 8 pounds. Inches are ideal for measuring the length of your nose. 8 cups convert to 4 pints and 7 3/5 feet is equivalent to 2 8/15 yards.

Explanation:

Understanding Weights and Measurements

Out of the given options, a newborn baby is likely to weigh about 8 pounds. This rules out the mother whale, large dog, and professional football player, as they all typically weigh significantly more than 8 pounds.

When it comes to measuring in inches, the length of your nose is the most appropriate of the given options. Width of a road, the length of a hallway, and the distance to the moon are all too large and would be better measured in feet, meters, or miles respectively.

For the conversion of cups to pints, we know that there are 2 cups in a pint. Therefore, 8 cups is equal to 4 pints because 8 divided by 2 equals 4.

Lastly, converting feet to yards for 7 3/5 feet to yards, we use the fact that 1 yard is equal to 3 feet. So, we divide 7 3/5 by 3, which gives us 2 8/15 yards.

The time taken by car to pass the truck is 1.125 hours

Solution:

A truck enters a highway driving 60 miles per hour a car

The car enters the highway at the same place 9 minutes later and drive 68 miles per hour in the same direction from the time the car enters the highway

Let us first convert 9 minutes to hours

[tex]1 \text{ minute } = \frac{1}{60} \text{ hour }[/tex]

[tex]9 \text{ minute } = \frac{9}{60} = \frac{3}{20} \text{ hours }[/tex]

Let the truck covers 'x' m distance in time 't' hour the car will take [t -(3/20)] hour to cover the same distance 'x'

We know that,

[tex]Distance = Speed \times Time[/tex]

For truck : [tex]x = 60t[/tex] ----------- eqn 1

For car: [tex]x = 68 \times (t - \frac{3}{20})[/tex] ------------ eqn 2

From equations (i) and (ii)

[tex]60t = 68 \times(t-\frac{3}{20})\\\\60t = 68t-10.2\\\\68t - 60t = 10.2\\\\8t = 10.2\\\\t = 1.275[/tex]

Thus the time taken by car to pass the truck is:[tex]t - \frac{3}{20} = 1.275 - \frac{3}{20} = 1.275 - 0.15 = 1.125[/tex]

Thus the time taken by car to pass the truck is 1.125 hours

Answer: -1 and +6

Step-by-step explanation:

Given :

[tex]x^{2}[/tex] = 5x + 6

re - writing the equation , we have

[tex]x^{2}[/tex] - 5x - 6 = 0

We will look for two factors that when multiplied will give -6[tex]x^{2}[/tex] and when added will give -5. The factors are +x and -6x

Then the equation becomes :

[tex]x^{2}[/tex] -6x + x - 6 = 0

factorizing , we have

x (x-6)+1(x-6) = 0

(x-6)(x+1) = 0

Therefore :

x - 6 = 0 or x + 1 = 0

Therefore :

x = 6 or x = -1

Therefore : the rots of the equation are -1 and +6

Answer: Each golf ball weights 45.93g

Step-by-step explanation:

divide 551.16 by 12

Answer:

Step-by-step explanation:

Answer: $ 400

Step-by-step explanation:

Amount collected for new library = $ 3,200 and there are 8 classes and they collected the same amount. This means that each class will collect

3200/ 8 = $400

Answer:

x < 6

Step-by-step explanation:

treat it as a normal equation

Answer: 1 bathroom 44/62=71%     2 bathrooms 18/62=29%

Step-by-step explanation:

Answer:

Of the apartments, about 71% have 1 bathroom  and about 29% have 2 bathrooms.

Step-by-step explanation: i took the test it was right :)

Answer:

The math notation to the given sequence is  [tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... is verified and it is true

Step-by-step explanation:

Given sequence is 1,-1,1,-1,...

Let [tex]a_1=-1,a_2=1,a_3=-1,a_4=-1,...[/tex]

To find the math notation for the given sequence :

[tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... verify that it is true or not

Put n=1 in the above equation we get

[tex]a_1=(-1)^{1+1}[/tex]

[tex]=(-1)^2[/tex]

Therefore [tex]a_1=1[/tex]

Put n=2 in the [tex]a_n=(-1)^{n+1}[/tex] equation we get

[tex]a_2=(-1)^{2+1}[/tex]

[tex]=(-1)^3[/tex]

Therefore [tex]a_2=-1[/tex]

Put n=3 in the [tex]a_n=(-1)^{n+1}[/tex] equation we get

[tex]a_3=(-1)^{3+1}[/tex]

[tex]=(-1)^4[/tex]

Therefore [tex]a_3=1[/tex]

and so on

Therefore the math notation to the given sequence is  [tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... is verified and it is true

Answer:

the number 1.46

Step-by-step explanation:

because 5×100×1.46=730

Answer:

28%

Step-by-step explanation:

Answer:

x+y=6

Step-by-step explanation:

The standard form equation is ax+by=c.

To center a 14 3/4-inch-wide mirror on a 25-inch-wide wall, subtract the mirror's width from the wall's width and divide by two. There should be 5.125 inches of space on each side of the mirror.

Doris wants to make sure the mirror that is 14 3/4 inches wide is centered on a wall that is 25 inches wide. To find the width that should be on each side of the mirror, we need to subtract the width of the mirror from the width of the wall and divide the result by two. The calculation looks like this:

Therefore, there should be 5.125 inches of space on each side of the mirror.

Answer:

Option A [tex]\frac{4}{15\\}[/tex]

Step-by-step explanation:

4 infants + 11 toddlers = 15 children

4 infants / 15 children = [tex]\frac{4}{15}[/tex]

Answer:

The answer is B, or the second option: The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus StartFraction 3 Over 8 EndFraction..

Step-by-step explanation:

Let n = number of players

Drawing out each scenario is optional, but it helps visualize what is going on.

Let's play out scenarios for n = 2 through n = 12 to see what the pattern might be.

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

n = 2 players

Seat #1 eliminates seat #2

Winner = seat #1

This is fairly trivial and boring as there is only one round and one elimination.

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

n = 3 players

Seat #1 eliminates seat #2

Seat #3 eliminates seat #1

Winner = seat #3

Like with n = 2, this game is over in one round. For n = 4 and greater, we'll start to see multiple rounds.

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

n = 4 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

End of Round 1

Seats remaining = {seat #1, seat #3}

Start of Round 2

Seat #1 eliminates seat #3

End of Round 2

Winner = seat #1

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

n = 5 players

Start of Round 1.

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #1

End of Round 1.

Seats remaining = {seat #3, seat #5}

Start of Round 2.

Seat #3 eliminates seat #5

End of Round 2

Winner = seat #3

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

n = 6

Start of round 1.

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5}

Start of round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #1

End of Round 2

Winner = seat #5

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

Up next is n = 7 players

Start of round 1.

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #1

End of Round 1

Seats remaining = {seat #3, seat #5, seat #7}

Start of round 2

Seat #3 eliminates seat #5

Seat #7 eliminates seat #3

End of Round 2

Winner = seat #7

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

n = 8 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5, seat #7}

Start of round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #7

End of Round 2

Seats remaining = {seat #1, seat #5}

Start of Round 3

Seat #1 eliminates seat #5

End of Round 3

Winner = seat #1

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

n = 9 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #1

End of Round 1

Seats remaining = {seat #3, seat #5, seat #7, seat #9}

Start of round 2

Seat #3 eliminates seat #5

Seat #7 eliminates seat #9

End of Round 2

Seats remaining = {seat #3, seat #7}

Start of Round 3

Seat #3 eliminates seat #7

End of Round 3

Winner = seat #3

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

n = 10 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #10

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5, seat #7, seat #9}

Start of Round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #7

Seat #9 eliminates seat #1

End of Round 2

Seats remaining = {seat #5, seat #9}

Start of Round 3

seat #5 eliminates seat #9

End of Round 3

Winner = seat #5

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

n = 11 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #10

Seat #11 eliminates seat #1

End of Round 1

Seats remaining = {seat #3, seat #5, seat #7, seat #9, seat #11}

Start of Round 2

Seat #3 eliminates seat #5

Seat #7 eliminates seat #9

Seat #11 eliminates seat #3

End of Round 2

Seats remaining = {seat #7, seat #11}

Start of Round 3

Seat #7 eliminates seat #11

End of Round 3

Winner = seat #7

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

n = 12 players

Start of Round 1

Seat #1 eliminates seat #2

Seat #3 eliminates seat #4

Seat #5 eliminates seat #6

Seat #7 eliminates seat #8

Seat #9 eliminates seat #10

Seat #11 eliminates seat #12

End of Round 1

Seats remaining = {seat #1, seat #3, seat #5, seat #7, seat #9, seat #11}

Start of Round 2

Seat #1 eliminates seat #3

Seat #5 eliminates seat #7

Seat #9 eliminates seat #11

End of Round 2

Seats remaining = {seat #1, seat #5, seat #9}

Start of Round 3

Seat #1 eliminates seat #5

Seat #9 eliminates seat #1

End of Round 3

Winner = seat #9

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

Admittedly this is a lot of things to keep track of and it's easy to get lost. Hopefully the process is fairly straight forward even if it requires a lot of drawings.

Each pattern block is color coded to separate the start and stop of each sequence. Note the pattern of {1,3} then {1,3,5} then {1,3,5,7} then {1,3,5,7,9} and so on. The next pattern block would likely be {1,3,5,7,9,11}. This table will help you determine what seat you will want to sit in if you know how many players there are at the start. Of course you won't know ahead of time how many players there are, but when it comes to you picking your seat you can quickly look at the table (either on the paper or just something you memorize) and you can select the ideal seat based on what n is.