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.

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]

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:

Answer: 90 students

Step-by-step explanation:

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

100% verified! :D

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,,

Answer: 4

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

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.

Answer: try the US cellar field

Home plate is 400ft

Field fence height is 8ft

Angel of elevation is 0.85

Answer:

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

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]

Answer:

he should save $70 each week

Step-by-step explanation:

1200 - 640 = 560

560/8 = 70

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

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

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:

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

#1

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

Volume:

#2

Area of base

Volume:-

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:

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:

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]

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

Circumference of the wheel is :

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

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]

[ To the hundredth place : 0.796 m ]

Answer:

17

Step-by-step explanation:

I took the test

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%

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%

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.

Answer:

B:2

Step-by-step explanation:

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

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

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

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

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

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

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  

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:

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?

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

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

~Done~

Have a wonderful and fruitfull day :-)

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