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Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

[tex]\displaystyle P\left(\text{Red}\right)=\frac{6}{11}[/tex]

Since the marble is replaced, the probability of getting another red is: [tex]\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}[/tex]

The probability of getting a blue marble first is:

[tex]\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}[/tex]

And the probability of getting another blue is:

[tex]\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}[/tex]

So, the probability of getting two of the same color is:

[tex]\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%[/tex]

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

Answer:

-2

Step-by-step explanation:

negative times positive equal negative so

-1×2= -2

Answer:

[tex] \large{ \tt{✺ \: EXPLANATION}} : [/tex]

[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER: \boxed{1}}}}}[/tex]

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Answer:

-64

Step-by-step explanation:

f(x)=-4^x

f(3)=-4^3=-64

Answer:

-64

Step-by-step explanation:

1) Substitute x with 3

-4^3

2) solve

-64

Answer:

It's (-1.5,-5.5)

Step-by-step explanation:

Answer:

-1.5 , -5.5

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the remaining two sides.

The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.

Let the hypotenuse be b Hence:

b² = 3² + 5²

b² = 9 + 25

b² = 34

b = 5.83 feet

Answer:C

Step-by-step explanation:

Answer:

x = -1/2, x = -5    OR    x = -0.5 and x = -4

Step-by-step explanation:

I’ll just put a picture, I can’t fully explain digitally.    ;D

Answer:

0.0428 miles per gallon

Step-by-step explanation:

On her vacation in Mexico Stephanie was Abel to drive 280 miles on 12 gallons

Given data

Distance driven = 280miles

Fuel used= 12 gallons

Hence the gas per mile is expressed as

Gas per mile= 12/280

Gas per mile= 0.0428 miles per gallon

Answer:

Step-by-step explanation:

Answer:

0.58333333333 Or 0.58333333333/100000000000

Step-by-step explanation:

Answer and Step-by-step explanation:

Scale factor of 4

x, y: (3, 10)

Translate 3 units right, up 10 units.

#teamtrese #PAW (Plant aNd Water)

Answer:

h = 50 inches

Step-by-step explanation:

To find the value of h, we are to use the appropriate trigonometric ratio

The given angle faces the unknown length and that makes the unknown length the opposite side

The given side faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects the opposite and the hypotenuse is the sine

The sine of an angle is the ratio of the opposite side to the hypotenuse

Thus, we have it that;

sin 23 = h/129

h = 129 * sin 23

h = 50 inches

Answer:

-4 is the correct answer

Answer:

y=18

Step-by-step explanation:

equation:y=3x -7

x=7 then y =?

substitute the vale of x in the equation

y=3x-7

y=3*7-7

y=21-7

y=18

therefore the value of y corresponds to 7 is 18.

Answer:

C

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] ← slope of line B

Answer:

-25/3

Step-by-step explanation:

Answer:

a+52/3=9

a + 52/3 - 52/3 = 9 - 53/3

a=[tex]\frac{27- 53}{3}[/tex]

a= [tex]\frac{26}{3}[/tex]

Step-by-step explanation:

Answer:

1) -5

2) 5

3) -4

4) 7

5) 3

Step-by-step explanation:

1) -20 divided by -4

2) -2 plus 7

3) 20 divided by 5

4) -2 plus 9

5) 20 minus 17

Answer:

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

y2 = 7

y1 = 2

x2 = 6

x1 = - 5

There is no particular reason for choosing which one is (x2,y2) and (x1,y1) The slope would turn out to be the same which ever way you tried it.

slope = (7 - 2)/(6 - - 5)   Notice the double minus. One of the minus symbols belongs to the formula and the other belongs to the 5

slope = 5/(6 + 5)

slope = 5/11

Answer:

[tex]\frac{5}{11}[/tex]

Step-by-step explanation:

The slope of a line that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1,y_1)=(-5,2),\\(x_2, y_2)=(6,7)[/tex]

The slope of the line, [tex]m[/tex], that passes through these points is equal to:

[tex]n=\frac{7-2}{6-(-5)}=\frac{5}{6+5}=\boxed{\frac{5}{11}}[/tex]

Answer:

10.3 units

Step-by-step explanation:

coordinate points are

T(2, -2) =(x1 , y1)

W(-7, 3) =(x2 , y2)

distance formula = [tex]\sqrt{(x2 -x1)^2 + (y2 -y1)^2}[/tex]

=[tex]\sqrt{(-7-2)^2 + {3-(-2)}^2[/tex]

=[tex]\sqrt{(-9)^2 + (3+2)^2[/tex]

=[tex]\sqrt{81 + 5^2[/tex]

=[tex]\sqrt{81 + 25[/tex]

=[tex]\sqrt{106[/tex]  

=10.29563014

=10.3 (after converting it to the nearest tenth)

Answer:

Step-by-step explanation:

3

Step-by-step explanation:

Perimeter=8l

30cm=8l

l=30/8=3.75cm

Answer and Step-by-step explanation:

An octagon has 8 sides in total. The perimeter of a shape is the sum of all sides added together.

To find the length of each side, we divide the perimeter by the amount of sides.

30 ÷ 8 = 3.75

The answer is 3.75 centimeters.

#teamtrees #PAW (Plant And Water)

Answer:

3x=89.97

 x=89.97/3

 x=29.99 -- price of one

Step-by-step explanation:

Answer:

2 > w ≤ 7

Step-by-step explanation:

Answer:

the volume would be 84

Step-by-step explanation:

multipacation

Answer:

30 minutes

Step-by-step explanation:

20+30+20--80

Answer:

o really sis/bro hsgsmhsndjd

Answer:

2464 yd²

Step-by-step explanation:

Use the circle circumference formula: 2πr

2·[tex]\frac{22}{7}[/tex]·r=176

[tex]\frac{44}{7}[/tex]r=176

r=176·[tex]\frac{7}{44}[/tex]

r=28

Area of circle formula: πr²

[tex]\frac{22}{7}[/tex]·r²

[tex]\frac{22}{7}[/tex]·28²

[tex]\frac{22}{7}[/tex]·784

=2464 yd²

Step-by-step explanation:

B/-7 = 4

Cross multiple

-7×4 = B

-28 = B

Answer:

-28

Step-by-step explanation:

First, multiply 4*-7= -28.

You're done. B=-28

Hope this helps!

Answer:

Step-by-step explanation:

Vertically opposite angles are equal

8x + 2 = 7x + 11

Subtract 2 from both sides

8x    = 7x + 11 - 2

8x  = 7x + 9

Subtract 7x from both sides

8x - 7x = 9

x = 9