A bag contains 2 red marbles, and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in simplest form.

Answer:

x= 13 /14

Step-by-step explanation:

Let's solve your equation step-by-step.

5x−5

x−2

=

1

3

Step 1: Cross-multiply.

5x−5

x−2

=

1

3

(5x−5)*(3)=1*(x−2)

15x−15=x−2

Step 2: Subtract x from both sides.

15x−15−x=x−2−x

14x−15=−2

Step 3: Add 15 to both sides.

14x−15+15=−2+15

14x=13

Step 4: Divide both sides by 14.

14x

14

=

13

14

x=

13

14

Answer:

The first on is -80,

next one is -60

third one 3

last one is -54

Step-by-step explanation:

Answer:

y = 6(sq rt 3)

x = 18

Step-by-step explanation:

y = (0.5)(12)(sq rt 3) = 6(sq rt 3)

x = (0.866)(12)(sq rt 3) = (10.392)(sq rt 3) = sq rt 324

reduced

x = 18

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of x and y is 18 and 6√3 units respectively.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Let the side with label x be the base of the triangle and y be the perpendicular.

As the length of the base is x while the angle is 30°, and the length of the hypotenuse is 12√3, therefore, the value of x can be written as,

[tex]Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Cos (30^o)=\dfrac{x}{12\sqrt3}\\\\\\Cos (30^o) \times {12\sqrt3}={x}\\\\x = {12\sqrt3} \times \dfrac{{\sqrt3}}{2}\\\\x = 18[/tex]

Now, as we know that the length of the perpendicular side is y, therefore, the value of y can be written as,

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Sin (30^o)=\dfrac{y}{12\sqrt3}\\\\\\Sin (30^o) \times {12\sqrt3} ={y}\\\\\\y = \dfrac{1}{2} \times 12\sqrt3\\\\\\y = 6\sqrt3[/tex]

Hence, the value of x and y is 18 and 6√3 units respectively.

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Answer: Its C

Step-by-step explanation:

24   +   25   +   26   +   27   +   28   +   29   +   30   +   31   +   32   +   33   +   34   ÷   11 = 29

Answer:

c

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Set 1

sum = (2 × 27) + (2 × 28) + (3 × 29) + (2 × 30) + (1 × 33)

       = 54 + 56 + 87 + 60 + 33 = 290

The count is 10 ( number of dots ), then

mean = [tex]\frac{290}{10}[/tex] = 29

Set 2

sum = (4 × 24) + (4 × 25) + (2 × 27)

       = 96 + 100 + 54 = 250

The count is 10 ( number of dots ), then

mean = [tex]\frac{250}{10}[/tex] = 25

Answer:

800 cm

Step-by-step explanation:

x = height of lamp post

set up a proportion:

90/160 = 450/x

cross-multiply:

90x = 72000

x = 800

Answer:

Since you did not want the answer the things you need to solve this question are below.

Step-by-step explanation:

In order to solve this, you will need to read about the scale factor. Here is a picture telling about it briefly.

Answer:A

Step-by-step explanation:Yes; the graph passes the vertical line test.

answer for the first one

1) [tex]6 {y}^{2} - 24y[/tex]

[tex] = > 6y(y - 4)[/tex]

2) [tex]6pq - 4q + 6 - 9p[/tex]

[tex] = > (6pq - 4q) + ( - 9p + 6)[/tex]

[tex] = > [2q(3p - 2)] + [- 3( 3p - 2)] [/tex]

[tex] = > 2q(3p - 2) - 3(3p - 2)[/tex]

[tex] = > (3p - 2)(2q - 3)[/tex]

3) [tex] {x}^{2} + 14xy + 49y[/tex]

[tex] = > {x}^{2} + 2 \times x \times 7y + {(7y)}^{2} [/tex]

[tex] = > {(x + 7y)}^{2} [/tex]

[tex] = > (x + 7y)(x + 7y)[/tex]

4) [tex]25 {y}^{2} - 16[/tex]

[tex] = > {(5y)}^{2} - {4}^{2} [/tex]

[tex] = > (5y + 4)(5y - 4)[/tex]

5) [tex]9 {x}^{2} - 30x + 25[/tex]

[tex] = > {(3x)}^{2} - 2 \times 3x \times 5 + {(5)}^{2} [/tex]

[tex] = > {(3x - 5)}^{2} [/tex]

[tex] = > (3x - 5)(3x - 5)[/tex]

6) [tex] {p}^{2} + 2p - 15[/tex]

[tex] = > {p}^{2} + 5p - 3p - 15[/tex]

[tex] = > p(p + 5) - 3(p + 5)[/tex]

[tex] = > (p + 5)(p - 3)[/tex]

7) [tex] {y}^{2} + 8y + 12 = 0[/tex]

[tex] = > {y}^{2} + 2y + 6y + 12[/tex]

[tex] = > y(y + 2) + 6(y + 2)[/tex]

[tex] = > (y + 2)(y + 6)[/tex]

Answer:

The answer is 2

Step-by-step explanation:

The slope of Abha's climb is given by the equation

Slope m = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be A

Now , let the point be P ( x , y )

And , the equation is given by

The horizontal distance covered by Abha x = 20 yards

The vertical distance covered by Abha y = 40 yards

Now , the slope of the point is given by the equation

Slope m = vertical distance covered by Abha  / horizontal distance covered by Abha

Substituting the values in the equation , we get

Slope m of Abha's climb = y/x

Slope m of Abha's climb = 40 / 20

Slope m of Abha's climb = 2

Therefore , the slope of the line is m = 2

Hence , The slope of Abha's climb is given by the equation Slope m = 2

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#SPJ2

[tex]\tt{} {2x}^{2} - 19x + 42[/tex]

[tex]\tt{} {2x}^{2} - 7x - 12x + 42[/tex]

[tex]\tt{}x \times (2x - 7) - 6(2x - 7)[/tex]

[tex]\tt{}(2x - 7) \times (x - 6)[/tex]

Answer:

7

Step-by-step explanation:

They only have to 2 factors for example: 2,3,5,7,11

Answer:

h.7

Step-by-step explanation:

2 is the lowest prime # and the sum of 2 and 5 is 7

Answer:

(profit / cost price) * 100

Answer:

I could be 0.4 100= 40% I think I'm right but if I'm not I'm so sorry

===============================================

Explanation:

To isolate s, we need to undo the division. We'll multiply both sides by 3

14 = s/3

3*14 = 3*(s/3)

42 = s

s = 42

-------

As a check,

14 = s/3

14 = 42/3 .... replace s with 42

14 = 14

We get the same thing on both sides, so this confirms we have the correct value of s.

Answer:

B

Step-by-step explanation:

[tex]( \sqrt{c})^{2}= \sqrt{c}* \sqrt{c}= \sqrt{c*c}= c\\[/tex]

Answer:

volume = 261.79938779915 m3

Step-by-step explanation:

And rounded to nearest number is 261.8 mi3 or answer b.

Answer:

D

Step-by-step explanation:

If something is not constant we know it is non-linear. We know this is not constant because when graphed, the line is not straight.

Answer:

D.

Step-by-step explanation:

Here the rate of change is not constant. For example:

10-5 / 20-17 = 5/3

13-10/23-20 = 3/3 = 1

Answer:

y = 6

may help you i think so

Answer:

50%

Step-by-step explanation:

Answer:

180 pounds

Step-by-step explanation:

In six months Bill's weight will be increased by 60 pounds

10 pounds*6 months=60 pounds

120+60=180

In six months Phil will lose 24 pounds decreasing his weight from 204 to 180

4 pounds*6 months=24 pounds

204-24=180

Answer:

180 lbs

Step-by-step explanation:

204-24= 180

120+60=180

multiply each by 6  

Answer:

Step-by-step explanation:

Volume of the prism is the product of its base area and height

Find base area:

Area of the trapezoid:

Substitute given values and solve for h:

Find area of base

Now

Height of trapezoid base be x

Answer:

1.6

Step-by-step explanation:

Find the number in the tenth place

6

and look one place to the right for the rounding digit

2

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

1.6

Answer:

18+6=24 then 24/4=6

Step-by-step explanation:

Answer:

1872 in

Step-by-step explanation:

156 ft x 1ft = 156ft cause if you multiply 1 with any number its what ever number you multiplied 1 with.

Answer:

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

13x = 3(x - 20)              {Use distributive method:a(b+c)=(a*b) + (a*c)

13x = 3*x - 3*20

13x = 3x - 60            {Subtract '3x' from both sides}

13x -3x = -60      

    10x = -60      {Divide both sides by 10}

        x= -60/10

       x = -6

Answer:

z = 7/100

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/100z

Answer:

The second statement.

Step-by-step explanation:

Once it gets to 10, if you keep multiplying by 2 it will always end in 0.

3,4,5 is correct

as we know that ,

3² + 4² = 5²

9 + 16 = 5²

25 = 25

hence . 3,4,5 is correct

Answer:

I'm pretty sure it's 3,4,5 but I'm not sure (is it in cm,mm etc?)

Answer:

4

Step-by-step explanation:

2*radius

Answer:4

Step-by-step explanation:

2*2=4