There are 5 white pencils and 6 red pencils in a box. One pencil is selected at random and not replaced. Another pencil is randomly selected from the remaining pencils. Determine whether this event is independent or dependent. Explain your answer.
A. Independent; the first pencil does not affect the sample space for the second one.
B. Independent; there are fewer pencils to choose from the second time.
C. Dependent; the first pencil does not affect the sample space for the second one.
D. Dependent; there are fewer pencils to choose from the second time.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

You have 5 + 6 pencils, which is 11 pencilsThe probability you will get white is 5/11Prob you get red is 6/11If you pick up a pencil and do not replace it, you now only have 10 pencils leftThe prob you get a red or a white is dependent on what you picked up first

Related Questions

X+2/3x=180
What is the value of x?

Answers

Answer:

[tex]x = \frac{2}{539} [/tex]

Step-by-step explanation:

[tex] \frac{x + 2}{3x} = 180[/tex]

[tex]180(3x) = x + 2[/tex]

[tex]540x = x + 2[/tex]

[tex]540x - x = 2[/tex]

[tex]539x = 2[/tex]

[tex] \frac{539x}{539} = \frac{2}{539} [/tex]

[tex]x = \frac{2}{539} [/tex]

You borrow $300 at a simple interest rate of 4% per year. You make no payments for two years. How much do you owe after two years

Answers

Answer:

17

Step-by-step explanation:

I took the test

Martin collected data from students about whether they played a musical instrument. The table shows his

results.

Instrument

No Instrument TOTAL

Boys

32

60

92

Girls

38

68

TOTAL

70

90

160

Of the students surveyed, how many played an instrument?

The number of students surveyed who played an instrument is

Answers

Answer: 90 students

Step-by-step explanation:

I got this question on my test, and the answer was 90

100% verified! :D

Determine the central and radius of the circle of equation given below
x2+y2-4x+6y-12=0

Answers

Answer:

centre = (2, - 3 ) and radius = 5

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )

x² + y² - 4x + 6y = 12 ( collect x/ y terms )

x² + 4x + y² + 6y = 12

using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9

(x - 2)² + (y + 3)² = 25 ← in standard form

with (h, k ) = ( 2, - 3 ) and r = [tex]\sqrt{25}[/tex] = 5

Answer:

center of the circle = (2, -3)

radius of the circle = 5

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given equation:

[tex]x^2+y^2-4x+6y-12=0[/tex]

Collect like terms:

[tex]\implies x^2-4x+y^2+6y-12=0[/tex]

Add 12 to both sides:

[tex]\implies x^2-4x+y^2+6y=12[/tex]

Complete the square for both variables.

Add 4 to both sides for x.  Add 9 to both sides for y.

[tex]\implies x^2-4x+4+y^2+6y+9=12+4+9[/tex]

[tex]\implies (x^2-4x+4)+(y^2+6y+9)=12+4+9[/tex]

Factor the two variables:

[tex]\implies (x-2)^2+(y+3)^2=25[/tex]

Therefore:

center of the circle = (2, -3)radius of the circle = √25 = 5

Solve quadratic equation using FACTORING

Answers

Answer:

x=16 or x=2

Step-by-step explanation:

[tex]x^{2}[/tex]=18x-32

-[tex]x^{2}[/tex]  -[tex]x^{2}[/tex]

[tex]x^{2}[/tex]-(18x-32)=0

[tex]x^{2}[/tex]-18x+32=0

Factorize

x         2

x         16

(x-16)(x-2)

x-16=0

+16    +16

x=16

or

x-2=0

+2   +2

x=2  

mr richey bought 20 organizer books and 20 staplers for students. each stapler costs 3$. mr richey spent in total of 200$ for the organizer books and staplers. what is the cost, in dollars of 1$ organizer book

Answers

Answer: $7

Step-by-step explanation: if a stapler cost $3, then 20staplers will cost $60

Amount left will be $200-60=$140

Cost of one organiser will be $140/20

That will be $7

$7 because if it were to be three for each it would only make sense of $7

I’ve tried imputing the numbers but apparently I’m doing wrong so help please

Answers

Answer:

CB = sqrt  (4a^2 + 6b^2)

Step-by-step explanation:

Using distance formula

d^2  = ( x1-x2)^2   +  (y1-y2)^2

d^2 = (3a - -a)^2    +  (b - -5b )^2

d^2 = (4a)^2      +      (6b)^2        

   

Answer: [tex]CB = \sqrt{16a^2 + 36b^2}\\\\[/tex]

Work Shown:

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\CB = \sqrt{(3a-(-a))^2 + (b-(-5b))^2}\\\\CB = \sqrt{(3a+a)^2 + (b+5b)^2}\\\\CB = \sqrt{(4a)^2 + (6b)^2}\\\\CB = \sqrt{16a^2 + 36b^2}\\\\[/tex]

If that doesn't work, then your teacher may only want the stuff in the green box. So that would be either b-(-5b), or b+5b, or 6b

HELPP worth 95 points Use the Internet to identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2 ft above the ground will necessitate an angle of elevation less than to just clear the center field

so Ive come to decide to pick the Yankees ballpark however the feet from the center field to home plate is 408 ft
through i don't understand what way do they want me to solve this, it was said to use the tangent ratio and inverse.
please help I'm struggling ):

Answers

Answer: try the US cellar field

Home plate is 400ft

Field fence height is 8ft

Angel of elevation is 0.85

Solve 4+3(x-2)=2x-4.

Answers

Answer:

x=-2

Step-by-step explanation:

isolate the variable and the numbers

Answer:

-2

Step-by-step explanation:

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

distibute 3 to (x-2)

4+3x-6=2x-4

simplify

3x-2=2x-4

add -4 (becomes +4) to -2

3x+2=2x

subtract 3x

2=-x

divide the negative

-2=x

Angle RAT measures how many degrees ? 10 20 30.0

Answers

The angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.

How to measure the angle in protector?

Protector is the most useful device to measure the angle between two lines. To measure the angle between two lines using the protector following steps is followed:

Place the protector center point at the vertex of unknown angle.One side of angle should be place at 0 mark line of this device.Other side of angle will be equal to the angle shown in protector on that line.

In the given figure, The angle Between AR and AT line is 30 degrees shown in protector.

Thus, the angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.

Learn more about the protector here:

https://brainly.com/question/1161640

#SPJ1

(100 POINTS) Please help I'll give brainliest!
Image attached.

Answers

#1

Area of base=1/2(2.8)(4.2)

2.8(2.1)5.88in²

Volume:

Area of base×Height5.88(7)41.16in³

#2

Area of base

6×1/2(7)(6.1)3(7)(6.1)128.1cm²

Volume:-

128.1(14)1793.4cm³

Answer:

Volume of a prism = area of base × height

⇒ V = Bh

Question 7

The base of this prism is the triangle.

Area of a triangle = 0.5 × base × height

Given:

base of triangle = 4.2 mheight of triangle = 2.8 mheight of prism = 7 m

Therefore:

[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 4.2} \cdot \boxed{\sf 2.8}) \cdot 7\\ & = \sf \boxed{\sf 41.16}\:m^3\end{aligned}[/tex]

Question 8

The base of this prism is a regular hexagon.

Area of a hexagon = 0.5 × apothem × perimeter

Given:

apothem of base = 6.1 cmside length of base = 7 cmnumber of sides of base = 6height of prism = 14 cm

Therefore:

[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 6.1} \cdot 7 \cdot 6) \cdot \boxed{\sf 14}\\ & = \sf 128.1 \cdot \boxed{\sf 14}\\ & = \sf \boxed{\sf1793.4}\:cm^3\end{aligned}[/tex]

After being involved in a car accident last month, ralph’s insurance company has increased his annual premium by $105.38. approximately what change will ralph see on his future monthly statements as a result of the change? a. ralph’s monthly insurance payment will not change. b. ralph’s monthly insurance payment will increase by $8.78. c. ralph’s monthly insurance payment will increase by $17.56. d. ralph’s monthly insurance payment will increase $105.38.

Answers

B. Ralphs monthly insurance payment will increase by 8.78 (rounded to the nearest hundredth )

105.38/12=8.7816

Answer:

B. if it says that the insurence company has increased the price of the plan by a certian amount, then the montly price will increase by a few dollars.

Step-by-step explanation:

A wheel makes 13 revolutions to cover a distance of 65 m. Find the radius of the wheel.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Circumference of the wheel is :

[tex]\qquad \tt \dashrightarrow \:c = 2 \pi r[/tex]

c = circumference

r = radius

Number of revolutions = 13, and distance travelled is 65 m.

So, we can infer that :

[tex]\qquad \tt \dashrightarrow \:c = \frac{distance \: covered}{number \: of \: revolutions} [/tex]

Now, equate both the equations ~

[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{distance \: covered}{number \: of \: revolutions} [/tex]

[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{65}{13} [/tex]

[tex]\qquad \tt \dashrightarrow \:2 \pi r = 5[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{2 \pi} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{3.14 \times 2} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{6.28} [/tex]

[tex]\qquad \tt \dashrightarrow \:r \approx0.8 \: m[/tex]

[tex]\qquad \tt \dashrightarrow \:r \approx80 \: cm[/tex]

radius of wheel is 80 cm

[ To the hundredth place : 0.796 m ]

Please help!! Will mark brainlyest.

Answers

A reflection in the y-axis I think.

Find the surface area. Round to the nearest tenth, as necessary.

I need helpppp ASAP Please

Answers

Answer:

D

Step-by-step explanation:

6(6.4)^2

=245.76

245.76 rounded = 245.8

Answer:

Option D, [tex]245.8\ units^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area

[tex]A = l * w[/tex]

[tex]A = 6.4\ units * 6.4\ units[/tex]

[tex]A = 40.96\ units^2[/tex]

Step 2:  Determine the surface area

We know that we have 6 sides of equal area that means that we can just use [tex]6 * 40.96\ units^2[/tex]  which gives us [tex]245.76\ units^2[/tex].

Answer: Option D, [tex]245.8\ units^2[/tex]

Eric has scores of 74, 84, and 83 on his history tests. Use an inequality to find the scores he can make on his final exam to receive a B in the class. The final exar counts as two tests, and a B is received if the final course average is greater than or equal to 80 A Eric must score at least a on his final exam to receive a B in the class (Round to the nearest tenth as needed.) please help and show steps on how to do it!! I want to learn how to do it!!​

Answers

Answer:

yes, eric must score at least a mid A which is about 90%. Pretty simple...

Our badminton team has finished $75\%$ of its season, during which we won $40\%$ of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses

Answers

Answer:

80%

Step-by-step explanation:

We can generalize from a specific example.

Let's assume that the season is 100 games long.

We have played 75% of the season, which is 75 games

We have won 40% of the games that we have played, so we have won 40% of 75 games, which is 30 games.

So, we must have lost 45 games.

To finish the season with as many wins as losses, of the 25 games we have left to play, we will have to win 20 games and lose 5.

To win 20 out of the last 25 games will be 20/25  =  0.80  =  80%

...............................

Answers

Answer:

804.2

Step-by-step explanation:

Formula
[tex]\pi r^{2}[/tex]

plug in

[tex]\pi *16^{2}[/tex]

≈ 804.24772

round to nearest tenth

≈ 804.2

15) Tom has $640 saved up for a vacation. He has 8 weeks before he leaves. The cost of the
trip is $1,200. What should he be saving each week that would give him at least the minimum
amount for his trip?

Answers

Answer:

he should save $70 each week

Step-by-step explanation:

1200 - 640 = 560

560/8 = 70

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

x² + 8x + 7

Step-by-step explanation:

A = bh

B = x + 7

H = x + 1

A = (x+7)(x+1)

= x² + x + 7x + 7

= x² + 8x + 7

X^2+8x+7

X squared plus eight x plus 7

What would be the correlation coefficient (r) of the following scatter plot?
Look at the picture down below to answer the question

options:

-.15


.92


-.89


.45

Answers

Answer:

-0.89 (i think)

Step-by-step explanation:

Since the graph seems to be going downwards from the right, it has a negative correlation. And since the data seems to be pretty close together, the correlation must be strong. That narrows the answer down to -0.89

If its wrong then i'm not a smart person, and it's -0.15

Look at the image below.

Find the area of the parallelogram.

Answers

Answer:

35

Step-by-step explanation:

i got it  on khan

Answer: 18

Step-by-step explanation: I got it on the Khan test don't trust the first one. ,,ԾㅂԾ,,

Electric utility poles in the form of right cylinders are made out of wood that costs $27.96 per cubic foot. Calculate the cost of a utility pole with a diameter of 1 ft and a height of 20 ft. Round your answer to the nearest cent.

Answers

Answer:

$ 439.19

Step-by-step explanation:

Volume of a cylinder =   pi r^2 h        r =  .5 ft     h = 20 ft

        V = pi (.5^2)(20)

   multiply V * 27.96 to get  $ 439.19

For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 112 degrees

a. 0. 98 units

c. 0. 62 units clockwise

b. 0. 62 units

d. 1. 95 units clockwise


For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 57 degrees

a. 0. 99 units

c. 57 units

b. 1. 99 units

d. 0. 50 units


For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). -133 degrees

a. 1. 16 units

c. 0. 74 units clockwise

b. 2. 32 units clockwise

d. 0. 74 units


Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 215 degrees

a. (-0. 82, 0)

c. (-0. 82, -0. 57)

b. (-0. 57, -0. 82)

d. (1, -0. 57)

Answers

Answer:

1. 112 degrees = d 1.95 units clockwise

2.57 degrees = a 0.99 units

3. -133 degrees = b 2.32 units clockwise

4. 215 degrees = c (-0.82, -0.57)

Step-by-step explanation: I guessed on most of them by just looking at the unit circle and proof of their accurracy: just finished the edge practice.

What is 4,255 rounded to the nearest THOUSAND?

Answers

Answer:

4,000

Step-by-step explanation:

To round a number, take the place next to the one you wish to round and look to see if it is four or under, or five or up. In this case, 2 is less than 5 so we will be rounding down towards the nearest integer, which is 4. Also, all places after the place value you round will become zero. So, 4,000 rounded to the thousands place is 4,000.

hope this helps :)

Answer:

The answer would be 4,000

Step-by-step explanation:

even if you round it up the the nearest hundred, it would still be 4,000.

whats the mode of 1,1,2,2,4,4,4

Answers

Answer: 4

Step-by-step explanation: Mode is highest occurring number

How do you write 0.66 as a percentage

Answers

To find the percentage, we must move the decimal place to the right two times. After doing this, 0.66 written as a percentage is 66%.

Answer:

66%

Step-by-step explanation:

All you do is put the decimal places two please to the right or do the number times 100.     .66 times 100= 66%

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

B:2

Step-by-step explanation:

3x2/3=3/1x2/3=6/3=2

Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she
works. Which expression represents the total amount of money Anna charges?

Answers

Answer:

$25(h) + $130

Step-by-step explanation:

Answer:

[tex] \sf 130 + 25h = TA [/tex]

[tex]Solving Steps : - [/tex]

Question :-Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she works. Which expression represents the total amount of money Anna charges?

Given :- To find the expression represents the total amount of money Anna charges?

Solution

She earns $ \sf 130 \:for\: paint\: supplies\: and\: $25 per hour

Therefore, will add $130 to $25 and add a variable letter 'h'

⇒ $130 + $25(h)

⇒ $130 + $25h = TA

TA being Total amount

Expression = [tex] 130 + 25h = TA [/tex]

~Done~

Have a wonderful and fruitfull day :-)

If a=2, b=-3, c=4
ab - bc =

Answers

2(-3)-(-3)(4) = -6-(-12) = -6+12 = 6
Answer: 0

Explanation:
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