A bag contains 3 red marbles and 4 blue marbles. A marble is taken at random from the bag and replaced. Another marble is taken from the bag.

Work out the probability that the two marbles taken from the bag are the same colour.

Give your answer as a fraction.

Answers

Answer 1

Answer:

25/49

Step-by-step explanation:

probability of red and red is (3/7)(3/7) = 9/49

Probability of blue and blue is (4/7)(4/7) = 16/49

Probability of same color = prob. of red and red or prob. of blue and blue

= 9/49 + 16/49

= 25/49


Related Questions

Area and Perimeter. ​

Answers

Answer:

A = b x h

P = b + b + h + h

A = 84 in

P = 38 in

a= 84

p= 38

Like a neighbor, state farm is there.

A $60 sweater is on sale for 25% off. There is an additional 10% discount offered if you sign up for a credit card. What is the sale price of the sweater if you sign up for a credit card?

Answers

Answer:$39

Step-by-step explanation:

Answer: $39.00 I'm pretty sure

PLZ ANSWER FOR TEST
In triangle xyz, angle x measures 19.9° and angle
y measures 113.6°. what is the measure of angle z

A. 113.5°
B. 47.5°
C. 46.5°
D. 180°​

Answers

Answer:

C

Step-by-step explanation:

19.9 + 113.6 = 133.5

180-133.5= 46.5

Answer:

[C] 46.5°

Step-by-step explanation:

Given:

In triangle xyz, angle x measures 19.9° and angle

y measures 113.6°. what is the measure of angle z

Note that:

Triangle = 180 degree

Solution:
Since,

x = 19.9 degree

y = 113.6 degree

then we have:

19.9 + 133.6 + z = 180

133.5 + z = 180

Subtract both sides by 133.5

133.5 - 133.5 = 180 - 133.5

x = 46.5 degree

Hence, the measure of angle z is 46.5

Also means that [C] 46.5 is the correct answer.

Kavinsky

17
What is the center and radius of the circle with the equation
2? + y2 - 2x + 4y - 4 = 0?
1) Radius:
Center:

Answers

Answer:

[tex] Center = \boxed{1}, \: \boxed{ - 2} \: ; \: Radius = \boxed{3}[/tex]

Step-by-step explanation:

[tex] {x}^{2} + {y}^{2} - 2x + 4y - 4 = 0 \\ \\ ({x}^{2} - 2x + 1 - 1) + ( {y}^{2} + 4y + 4 - 4) - 4 = 0 \\ \\ ( {x}^{2} - 2x + 1) + ( {y}^{2} + 4y + 4) - 9 = 0 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = 9 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = {3}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = - 2 \\ r = 3 \\ \\ center = \boxed{1} \: \boxed{ - 2} \: \: radius = \boxed{3}[/tex]

What is the area of the triangle Please answer quick

Answers

Answer:

A = 25 in^2

Step-by-step explanation:

[tex]area = \frac{1}{2} b \times h \\ area = \frac{1}{2} (10)(5) \\ area = 5 \times 5 \\ area = 25 \: {in}^{2} [/tex]

I hope that is useful for you

• Solve the application problem.
The length of a rectangle is į ft. Its width is 1į ft. What is its perimeter?

Answers

Not sure what the length of the rectangle is but to find perimeter of a rectangle you can use the following formula

2w+2l= perimeter

The reason we multiply both the length and width by two is because there are two ends of the width and two ends of the length.

The other formula that would also work is as follows

w+w+l+l= perimeter


Hope it helps

I need the Area and Perimeter.​

Answers

Answer:

P = 40 m

A = 100 m²

Step-by-step explanation:

(10√2)² = 200

200/2 = 100

side length = √100 = 10 m

P = 10 x 4 = 40 m

A = 10 x 10 = 100 m²

Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00.

Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get 4 dollars and 60 cents + 4 dollars and 60 cents = 9 dollars and 20 cents for the 15% gratuity.”

How should Antoine respond to Tess’s method?
“Tess, the best way to find 15% of $46.00 is to multiply StartFraction 1 over 15 EndFraction by $46.00 to get $3.07, which is the 15% gratuity.”
“Tess, you found 20% of the number because you added 10% and 10%. You need to add 10% to One-half of 10%. Add $4.60 and $2.30 to get $6.90, which is the 15% gratuity.”
“Tess, the best way to find 15% of $46.00 is to multiply 0.015 and 46.00 to get $0.69, which is the 15% gratuity.”
“Tess, you should use a table with 5% segments to find the gratuity. Each 5% segment has a value of $9.20, so that is the 15% gratuity.”

Answers

Answer:

How would Antonio respond....she would say "Thanks for the practice ".

Tess is right about it being easy to find 10% of 46 by moving the decimal point 1 place to the left to get 4.60.....but there is no need to do that twice....because if u do 10% twice, ur doing 20%.

okay....once u get 10% of 46 = 4.60....then u figure 5% of 46 = (0.05(46) = 2.30....because 10% + 5% = 15%.....then u add those together.....4.60 + 2.30 = 6.90. This can easily be checked...15% of 46 = 0.15(46) = 6.9 ,just like 10% of 46 + 5% of 46 = 6.9

Answer:

Rergvfgvf

Step-by-step explanation:

Factor x3y6 + 27z42. (xy3 + 3z39)(x2y9 – 3xy3z39 + 9z1,521) (xy3 + 3z39)(x2y6 – 3xy3z39 + 9z78) (x3y6 + 27z42)(x6y12 – 27x3y6z42 + 729z84) (xy2 + 3z14)(x2y4 – 3xy2z14 + 9z28)

Answers

Answer:

[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})[/tex]

Step-by-step explanation:

Given

[tex]x^3y^6 + 27z^{42[/tex]

Required

Factor

Express both terms as a cube

[tex]x^3y^6 + 27z^{42} = (xy^2)^3 + (3z^{14})^3[/tex]

Let

[tex]a =(xy^2)[/tex]

[tex]b = (3z^{14})[/tex]

So:

[tex]x^3y^6 + 27z^{42} = a^3 + b^3[/tex]

Using sum of cubes:

[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex]

So:

[tex]x^3y^6 + 27z^{42} = (a + b)(a^2 - ab + b^2)[/tex]

Substitute in, values of a and b

[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})((xy^2)^2 - (xy^2)*(3z^{14}) + (3z^{14})^2)[/tex]

[tex]x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})[/tex]

Answer:

its d

Step-by-step explanation:


Help me please please

Answers

Answer:

x = 2, use formula of area of triangle by talking x as base and 5 as height.

A new color of green requires 5 yellow to 4 parts blue. If the paint mixer used 30 gallons of yellow, how many gallons of blue were needed

Answers

Answer:

24 gallons of blue

Step-by-step explanation:

The number of gallons of blue color needed is for the mixer in which 30 gallons of yellow used, 24

What is the ratio?

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

A new color of green requires 5 yellow to 4 parts blue

The paint mixer used 30 gallons of yellow

The number of gallons of blue color needed = ?

Ratio of yellow to blue in mixture = 5/4

So, if 30 gallons of yellow is used

then gallons of blue = ?

Suppose, gallons of blue =  x

5/4  = 30/x

x  = 24

Hence, the gallons of blue is 24

To know more about Ratio check:

https://brainly.in/question/7996583

#SPJ2

which values are solutions to the inequality below, need explanation to better understand if it can be given.

Answers

Answer:

a b and d

Step-by-step explanation:

Write an exponential decay model for each situation. The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.

initial value: 1,800
decay rate: 7%
f(x) = 400

Answers

Answer:

The numbers are;

20 and 21

Step-by-step explanation:

A general form of an exponential decay model can be presented as follows;

f(x) = a·(1 + r)ˣ

Where;

f(x) = The output for a given input variable, 'x'

x = The input variable

a = The initial value

r = The growth (+ve) or decay (-ve) rate

When f(x) = 400, a = 1,800, r  = -7% = -0.07, we get;

400 = 1,800 × (1 - 0.07)ˣ

(1 - 0.07)ˣ = 400/1,800 = 2/9

ln((1 - 0.07)ˣ) = ln(2/9)

x = ln(2/9)/(ln(1 - 0.07)) ≈ 20.73

The value of 'x' lies between 20 and 21.

Find the area of a pizza with radius 4 inches.

Answers

Answer:

50.24

Step-by-step explanation:

4x4x3.14

(4 because of the radius)

(3.14 because of pi)

A rectangle with an area of 37 units2 is dilated by a scale factor of 2. Find the area of
the rectangle after dilation. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

74

Step-by-step explanation:

37x2=74

Polynomial Multiplication: Please HELP ITS FOR MATH!!!!

Answers

Answer:

Step-by-step explanation:

1. Monomial times Monomial

2. Binomial times Binomial

3. Binomial times Trinomial

4. Monomial times Trinomial

5. Binomial times Monomial

Answer: (The first number will be for the side on the left and the second will be for the on the right it matches with) (1, 3) (2, 1) (3, 5) (4,2) (5, 4)

Step-by-step explanation:

The nomial number(prefix) is determined by how many terms are in a parentheses. For example, The first one (3z) (9z) has one term bc 3z is one tern and 9z is one term so they are both monomials but b-1 would be a binomial because it has two terms so knowing that should explain my answers

7. One pint is equal to 2 cups. Gavin's
recipe lists a cup of milk. How many
pints of milk is this?
Answer quick PLZZ no website

Answers

Answer:

1/2 pint or 0.5 pint

Step-by-step explanation:

1 pint = 2 cups

(1 pint)/2 = 1 cup

1/2 pint = 1 cup

1/2 pint or 0.5 pint

A grocery store clerk put only packages of glazed
donuts and packages of chocolate donuts on a
shelf. The ratio of the number of packages of
chocolate donuts to the total number of packages
on the shelf was 5 to 12. Which number could be
the number of packages of glazed donuts the clerk
put on the shelf?

A. 23 B. 18 C. 14 D. 32

Answers

Answer:

c. 14

Step-by-step explanation:

12 - 5 = 7

needs to be a multiple of 7 which 14 is

what is 92.471 to the nearest tenth

Answers

Answer:

92.75

Step-by-step explanation:

tenth spot is to right of decimal round up or down depending on the next number

The answer is 92.5. It rounds to 92.5 instead of 92.4 because the 0.07>0.05

WHOEVER ANSWERS I WILL MARK BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Prime Factorization involves breaking down a number into prime numbers (aka numbers that can only be divided by itself and 1)

36

9  x  4

(3x3) x (2x2)

Hope that helps!

Lets multiply all the choices so we can see if it all multiplied is 36.

A) 2 • 2 • 2 • 3

   4 • 2 • 3

   8 • 3

   24

B) 2 • 2 • 3 • 3

   4 • 3 • 3

   12 • 3

   36

C) 2 • 3 • 3 • 3

   6 • 3 • 3

   18 • 3

   53

D) 1 • 2 • 2 • 3

   2 • 2 • 3

   4 • 3

   12

The answer is B! I hope this helps.

3(2x – 1) is 15 more than 8 what is the value of x?

Answers

1. Distribute or open parenthesis

= 6x-3

15+8= 23

2. Solve

6x-3 = 23

Subtract 3 on both sides

6x= 20

Divide both side by 6

x= 20/6

x= 3.333 or 3 1/3

The radius of a regular hexagon is 8 cm.
Find the apothem, perimeter and area
of the regular hexagon.

Answers

Answer:

We have,

side= a

= 8 cm

We know that the area of the regular hexagon

[tex] = \frac{3 \sqrt{3} }{2} {a}^{3} [/tex]

[tex] = \frac{3 \sqrt{3} }{2} {8}^{2} [/tex]

[tex] = \frac{3 \sqrt{3} }{2} \times 64[/tex]

[tex] = 96 \sqrt{3} \: \: {cm}^{2} [/tex]

Step-by-step explanation:

Hope it is helpful...

what is the greatest common factor of the polynomials: 35x^4+10x^3+25x^2

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

5x^2

Step-by-step explanation:

35x^4 + 10x^3 + 25x^2 =

Break up each term into a product of all its prime factors.

= 5 * 7 * x * x * x * x + 2 * 5 * x * x * x + 5 * 5 * x * x

Now see which factors are in common to all terms.

GCF = 5x^2

Someone help me please

Answers

Answer:

x=4

Step-by-step explanation:

The value of x is 4 so x=4

Find the volume of the figure

Answers

Answer:

760ft

Step-by-step explanation:

First you find the volume of the rectangle thing :)

so 14 times 19 times 2 = 532ft

than you need to do the triangle so 20 - 14 (for base length) is 6

so 19 times 6 times 2 = 228ft

now you ad them, so 532 + 228 = 760

find the area of the following​

Answers

Answer:

1/2×5×(10+6)= 120

hope this helps pls give me brainles

Answer:

50in

Step-by-step explanation:

to find the area of a parallelogram the formula is A=b*h. which is

10*5.

someone please help me fill in the blanks!!!!

Answers

Answer:

USE PHOTOMATH OR CYMATH UR WELCOME

Step-by-step explanation:

Answer:

#2 is 2^-9.  #3 is 1/6^15. #4 is 10^8.

Step-by-step explanation:

Remember that with exponents, division is subtraction, and multiplcation is addition.

So for the first problem, 2^-5 / 2^4 is really:

2^-5-4

This is simply 2^-9 power.

Next we have (6^-3)^5. I dont mean to confuse you, so just remember. When, and ONLY when and exponent is INSIDE parentherse, can it be multplilied by another exponent that is OUTSIDE of the parenthesese. SO we can write this as:

6^-3*5

This equals:

6^-15

Which can further be simplyfied to:

1/6^15

Countinuing on we have 10^-12 / 10^-20. Since we are dividing, we subtract to exponenets. So we can write this as:

10^-12 - -20

This is just 10^8 power.

Hope this helps! :)

A math club has 40 members. The number of girls is 3 times the number of boys.
a. Write the system of equations that represents this situation. Use the variables g and b to
represent girls and boys.
How do you solve this problem I don’t understand word problem

Answers

Answer:

10

Step-by-step explanation:

Answer:

*i think* 10 boys and 30 girls

Step-by-step explanation:

this is because there are already 10 means, and if you multiply 10 by 3, you get 30

10+30=40

lmk if you have questions!

but if you want the equations then

b + b X 3=40

i think this is what your teacher means

In a company's first year in operation, it made an annual profit of \$333,500$333,500. The profit of the company increased at a constant 8% per year each year. How much profit would the company make over the course of its first 24 years of operation, ?

Answers

P × R × T ÷ 100

333,500 × 8% ×24 ÷ 100

64,032,000÷100

640,320

The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.

Calculation of the amount of profit:

Since annual profit is $333,500

The profit percentage should be likely 8%

And, the number of years should be 24

So, the amount of profit should be

[tex]= $333,500 * (1 + 0.08)^{24[/tex]

= $2,114,784

hence, The amount of profit would the company make over the course of its first 24 years of operation should be $2,114,784.

Learn more about profits here: https://brainly.com/question/10176219

If the perimeter of a square is 20 cm, what is its area?

Answers

Answer:

25cm

Step-by-step explanation:

each side is 5cm so multiple 5cm times 5cm then you get 25cm

Answer:

25cm^2

Step-by-step explanation:

P=4a

20=4a

a=5

A=a^2

A=5^2

A=25 cm^2

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