A bag contains 6 green counters, 4 blue counters and 2 red counters. Two counters are drawn from the bag at random without replacement. Find the probability that no more than one of the counters is blue

Answers

Answer 1

Answer:

24.24%

Step-by-step explanation:

In other words we need to find the probability of getting one blue counter and another non-blue counter in the two picks. Based on the stats provided, there are a total of 12 counters (6 + 4 + 2), out of which only 4 are blue. This means that the probability for the first counter chosen being blue is 4/12

Since we do not replace the counter, we now have a total of 11 counters. Since the second counter cannot be blue, then we have 8 possible choices. This means that the probability of the second counter not being blue is 8/11. Now we need to multiply these two probabilities together to calculate the probability of choosing only one blue counter and one non-blue counter in two picks.

[tex]\frac{4}{12} * \frac{8}{11} = \frac{32}{132}[/tex] or 0.2424 or 24.24%


Related Questions

5x - 4 + 2x = 3
please help

Answers

Answer:

x = 1

Step-by-step explanation:

First, combine like terms. Like terms are terms that share not only the same variable, but the same amount of that variable:

5x - 4 + 2x = 3

(5x + 2x) - 4 = 3

7x - 4 = 3

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

First, add 4 to both sides of the equation:

7x - 4 (+4) = 3 (+4)

7x  = 3 + 4

7x = 7

Next, divide 7 from both sides of the equation:

(7x)/7 = (7)/7

x = 7/7 = 1

x = 1 is your answer.

~

Answer:

x = 1

Step-by-step explanation:

5x - 4 + 2x = 3

7x - 4 = 3           (add the Xs together)

7x = 7                (add seven to both sides)

x = 1                  (divide both sides by 7)

Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree

Answers

Answer:

The 6th degree polynomial is [tex]p(x) = (x-1)^3(x-4)^2(x+3)[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zero 1 with multiplicity 3.

So

[tex]p(x) = (x-1)^3[/tex]

Zero 4 with multiplicity 2.

Considering also the zero 1 with multiplicity 3.

[tex]p(x) = (x-1)^3(x-4)^2[/tex]

Zero -3 with multiplicity 1:

Considering the previous zeros:

[tex]p(x) = (x-1)^3(x-4)^2(x-(-3)) = (x-1)^3(x-4)^2(x+3)[/tex]

Degree is the multiplication of the multiplicities of the zeros. So

3*2*1 = 6

The 6th degree polynomial is [tex]p(x) = (x-1)^3(x-4)^2(x+3)[/tex]

find the value of the trig function indicated ​

Answers

Answer:

[tex]\cos(\theta)=\frac{4}{5}[/tex]

Step-by-step explanation:

Step 1:

Let us find the missing side. We know this is a right triangle, so we can use the pythagorean thereom to find the last side. Let us set 12 as variable a, 20 as variable c, and the unknown side as variable b.

[tex]a^2+b^2=c^2\\12^2_b^2=20^2\\b^2=400-144\\b^2=256\\b=\pm16[/tex]

We do know that a length can never be negative, so the side b would be 16.

Step 2:

According to SOHCAHTOA, cosine is utilizes the adjacent and hypotenuse of the given angle theta. Let us write the equation:

[tex]\cos(\theta)=\frac{adjacent}{hypotenuse} \\\\\cos(\theta)=\frac{16}{20} \\\\\cos(\theta)=\frac{4}{5}[/tex]

I hope this helps! Let me know if you have any questions :)

Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true?

Answers

Answer:

Step-by-step explanation:

A parallelogram is a shape that has two sets of parallel. There are a number of examples of parallelogram including but not limited to, square, rectangle, rhombus etc

From the question, the answer is, the shape is a rectangle. This is because the question says that the shape has its adjacent angles congruent, this means that they are supplementary(i.e they add up to 180). A rectangle is the one who fits the perfect description

Hi!! how do I find the value of y??​

Answers

Since the both sides look the same it’s gonna be 12+4 which equals to 16. So it will be 16 on both sides so y= 12

what two numbers that multiply to 20 and add to 9

Answers

Answer:

4 and 5

Step-by-step explanation:

4+5=9

4*5=20

Answer:

5 an 4

Step-by-step explanation:

If you add 5+4 you get 9

And if you multiple 5×4 you get 20

Find the product 6 • (–9).

please i need this rn its urgent

Answers

Answer:

[tex] - 54[/tex]

Step-by-step explanation:

it is too easy use your calculator!(-_-メ)

Answer:

-54

Step-by-step explanation:

Satish bought a bicycle wheel for $23.97. How much change should he receive if he gave the cashier two $20 bills?

Answers

Answer:

$16.03

Step-by-step explanation:

Two twenty dollars bills is forty dollars, so to find his change, subtract $23.97 from $40. This gives you $16.03.

The change should he receive if he gave the cashier two $20 bills is $16.03.

We have given that,

Satish bought a bicycle wheel for $23.97.

We have to determine the value of How much change should he receive if he gave the cashier two $20 bills.

What is the change of money?

Change is the money returned after paying for something with more money than it costs

Two twenty dollars bills is forty dollars, so to find his change, subtract $23.97 from $40.

This gives you $16.03.

Two twenty dollars bills is forty dollars,

so to find his change, subtract $23.97 from $40. This gives you $16.03.

To learn more about the change visit:

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find the product of (x-5)²-(x+5)(x-5)+10x​

Answers

X^2-10x+25-x^2+5x-5x+25+10x

25+25=50

Final answer = 50

I need help!!!

Which point is a solution to the system of inequalities?

Answers

Answer:

Step-by-step explanation:

(-3,-2)

21 = 3 + 4n + 5n
please help

Answers

Answer: n = 2

Step-by-step explanation:

Answer:

n=2

Step-by-step explanation:

21 = 3 + 4n + 5n

21 = 3 + 9n

9n = 18

n = 2

;)

The length of a rectangle 4 yd is longer than its width. If the perimeter of the rectangle is 68 yd, find its length and width.

Answers

w + 4

------------------------

l l

l l w

l l

------------------------

Perimeter would be the sum of all the sides so: (w+4) + w + (w+4) + w

Perimeter is 60 yards according to your problem so: (w+4) + w + (w+4) + w = 60 yds

1.Simplify/combine like terms:

w + 4 + w + w + 4 + w =

4w + 8 =

Now it's a 2-step algebra equation

4w + 8 = 60

2.Subtract 8 on both sides

4w = 56

3.Divide both sides by 4

w = 14

There is a sales tax of $6 on an item that cost $88 before tax on a second item $21. How much does the second item cost?

Answers

Answer:27

Step-by-step explanation:

If you are adding 6$ taxthen it would be

21+6-27

Set up a proportion:
Price is to tax as price is to tax:
88 is to 6 as x is to 21

88/6 = x/21
44/3 = x/21

x = 44(21)/3 = 44(7) = $308 cost before tax

Henry is buying bagels for a family gathering. Each bagel costs $0.75. Answer the
questions below regarding the relationship between the total cost and the number of
bagels purchased.

Answers

Answer:

0.75x=(total cost)

Step-by-step explanation:

Answer:

The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.

A function relating these variables is A(x) =0.75x .

So A(12) = 9, meaning 12 bagels will cost 9 dollars.

Step-by-step explanation:

Please give me THANKS and BRAINLIES

Have a good day

Multiply: (2x+5)(3−4x)

Answers

−8x2+26x−15 is the answer

Please help I need good grade #45

Answers

Answer:

Its A

Step-by-step explanation:

The correct answer is A

A bacteria population is going exponentially with a growth factor of 1/6 each hour. By what growth factor does the population change each half an hour select all that apply?

Answers

Answer:

The bacteria population will change with a growth factor of 1/12 for every half an hour or 1/12 per 30 minutes. (I don't know what the options are, but anything related to the answer I gave should be right.)

Step-by-step explanation:

Simple mathematics should get you the right answer. Here we are dealing with a fraction in a fraction. The first scenario should look like this: 1/6 / 1. Basically, that looks like one-sixth over one. Obviously, if we divide 1/6 by 1, we would get 1/6 itself again and we want to know what growth factor the population changes by for every half an hour. There are 30 minutes in half an hour and 60 minutes in one hour. Let's use the simplified terms to our advantage. Now, our first scenario should look like this: 1/6 / 60. Looks better now doesn't it? (Check the linked image to see the full scenario and how I did it in this next part.) For me, I divided 60 by 30 to get the scale factor, which is 2, then I divide 2 by 1/6 to get 1/12. Finally, we have 1/12 per half an hour! If I am wrong, please let me know and I hope this helps! :D

Which answer matches this description? 15 minus the quotient of 50 and 10 15 = (50 - 10) (50 - 15) + 10 (50 - 10) - 15 15 - (50 = 10)​

Answers

Answer:

The bottom left one

15 - (50 / 10)

Step-by-step explanation:

15 minus the quotient of 50 and 10

Keywords:

Minus: subtraction meaning we would use (-)

Quotient: Quotient is the outcome of division (/)

15 minus the quotient of 50 and 10

Replace minus with (-)

15 - the quotient of 50 and 10

Get rid of quotient and add a division sign between 50 and 10

15 - 50 / 10

Add parenthesis

15 - (50 / 10 )

Help please! I'll mark brainliest!

Answers

23 need to use formula then calculate

find the distance between each pair of points

(7 1/2, 3 1/4) and (7 1/2, 9 1/2)

Answers

Answer:

d=13

Step-by-step explanation:

D = √(x2 - x1)2 + (y2 - y1)2

D = √(-6 - (-8))2 + (1 - 4)2

D = √(-6 + 8)2 + (-3)2

D = √(2)2 + (-3)2

D = √4 + 9

D = √13

Which graph does not represent a function?

On a coordinate plane, a curved crosses the y-axis 1 time and the x-axis 2 times.

On a coordinate plane, a straight line with a negative slope crosses the y-axis 1 time and the x-axis 1 time.

On a coordinate plane, an oval line crosses the y-axis 2 times and the x-axis two times.

On a coordinate plane, a line with an s curve crosses the y-axis 1 time and the x-axis 1 time.

Answers

Answer:

On a coordinate plane, an oval line crosses the y-axis 2 times and the x-axis two times.

Step-by-step explanation:

Vertical line test.

If you draw a vertical line, parallel to the y-axis and it crosses a line or shape twice, it is not a function.

On a coordinate plane, an oval line crosses the y-axis 2 times and the x-axis two times. The correct option is C.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

On taking the vertical line test it is observed that If you draw a vertical line, parallel to the y-axis and it crosses a line or shapes twice, it is not a function.

Therefore, on a coordinate plane, an oval line crosses the y-axis 2 times and the x-axis two times. The correct option is C.

To know more about a function follow

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simplify 7^7 x 7^3

Answers

Algebra

Since the numbers are the same, you are allowed to add the exponents.

[tex] {7}^{7} \times {7}^{3} = {7}^{10} [/tex]

Answer:

[tex]7^{10}[/tex]

Step-by-step explanation:

The laws of exponents state that if two terms share a base they can be simplified. Specifically, the product exponent law says that if 2 like bases are being multiplied then the exponents can be added together. So, because the two bases are like and 7+3=10, the final answer is [tex]7^{10}[/tex].

AXYZ has side lengths in the ratio 3:4:5. Which group of three lengths represents a triangle similar to AXYZ?

Answers

Answer:

36, 48, 60

Step-by-step explanation:

if each side is 3, 4, and 5, then when you multiply each of these numbers by 12 then you get 36, 48, 60

3x12=36

4x12=48

5x12=60

3. Sam has a total of 22 quarters and nickels. The coins total value is $2.90. How many quarters and nickels does he have?​

Answers

Answer:

22?

Step-by-step explanation:

2.90=q(.25)+n(.05)
whats q?
q=22-n
2.90=(22-n)(.25)+n(.05)
solve for n...
n=13
so we have 13 nickels
q=22-13=9

The price of an item has been reduced by 20%. The original price was $35. What is the price of the item now?

Answers

Answer: The price of the item is now $28

Step-by-step explanation:

20% of 35 is 7 and 7-35=28

Answer:

$28

Step-by-step explanation:

35 - 20% = 28

Calculando a expressão (-2)² + (+5)², obtemos qual resultado?
a) + 29
b) + 21
c) + 14
d) + 6

Answers

This answer would be D) + 6.


Hope this helps if so please mark me as brainlest thank you !!

Answer:

a

Step-by-step explanation:

(-2)² + (+5)² = (-2)*(-2)  + 5 * 5

                   = 4 + 25

                   = +29

Pls Need help. Given rectangle WXYZ, find m<WXZ=​

Answers

Answer:

40°

Step-by-step explanation:

90°-50°=40°

Problem 8: What is the experimental Probability of spinning a green or
blue *
Color
Number of
Spins
Green
6
Blue
9
Yellow
14
Orange
11
Does anyone know the answer?

Answers

Answer:

if u put a penny in a microwave it change color u should try

Which of the following is a rational number but not an integer?

188, 13 2/5, -4, or -51

Answers

Answer:

Option C

Step-by-step explanation:

Rational numbers are numbers of the form p/q, where p and q are integers and q not equal to zero.

Integers are number of the form p/q , where q = 1

Option A : 188 => integer and rational

Option  B: 13   =>  integer and rational

Option C :2/5  =>  rational but not integer ( because q = 5 and not 1 )

Option D : - 51 => integer and rational

Answer:

13 2/5

Step-by-step explanation:

As,

Integers includes whole numbers, and negative of the whole numbers.

And Rationals includes every fraction, Integers and negative fraction.

So,

188, -4, and 51 are both Integers and Rationals.

But,

Only 13 2/5 is a mixed fraction included only in rationals and not in Integers

Pre-calc, Review the table of values for function k(x). (image attached)

Answers

Answer:

D) 44

Step-by-step explanation:

The limit of the function k(x) as x approaches -15 from the right side is 44. Therefore, option D is correct.

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