There are some red and blue balls in a bag of 21 balls and the probability of picking 2 red balls out in a row is 1/14 how many red balls are there?

Answers

Answer 1

Answer:

6 red balls

Step-by-step explanation:

The probability in the first pick

6/21

The probability in the second pick (without replacement)

5/20

the requested probability

(6/21)(5/20) = 30/420

simplification

30/420 = 3/42 = 1/14

Hope this helps

Answer 2

Answer:

6 red balls.

Step-by-step explanation:

If there are x red balls then

probability of 2 red balls

= x/21 * (x - 1)/20 = 1/14

x^2 - x / 420 = 1/14

x^2 - x = 30

x^2 - x - 30 = 0

(x - 6)(x + 5) = 0

x = 6.


Related Questions

Juan has 6 times as many baseball cards as Nick. If Juan has 192 cards, how many does Nick have?

Answers

Answer:

32

Step-by-step explanation:

Divide 192 by 6, to find the amount of baseball cards Nick has.

192 ÷ 6 = 32

Check:

32 · 6 = 192

192 ÷ 6 = 32

Nick has 32 baseball cards, which is 6 times less than Juan's amount.

20% percent tip on 8 dollar

Answers

Answer:

9.60 dollars tip is $1.60

Step-by-step explanation:

If 3(x − 2) = −7, then x =?

Answers

Answer:

-5 2/3

Step-by-step explanation:

is 3(x-2) = -7 then it's same as 3x-6=-7

We simplify this by adding 6 and subtracting 6.

Our result is

3x=-17

-17/3=-5 2/3

Alex can make 3 pies in 4 hours. At this rate, how long will it take him to make 15 pies?

Answers

Answer

To make 15 pies, it will take Alex 20 hours

Step-by-step explanation:

3 x 5 = 15 pies

4 x 5 = 20 hours

Determine whether or not the given value is a solution. 1. -5x + 4 = -1; x = -1 2.4x3 = -7; x = -1 3. 3y -4 = 5; y = // 4.-2y + 7 = 12; y = -1/2 5.3a-6 = 18 - a; a = -3 6. 5(2t - 1) = 2 = t; t = 2 7. ax = b = 0; x = b/a 8. ax + b = 2b; x = b/a​

Answers

#1

[tex]\\ \sf\hookrightarrow -5x+4=-1[/tex]

[tex]\\ \sf\hookrightarrow -5x=-5[/tex]

[tex]\\ \sf\hookrightarrow x=1[/tex]

Incorrect

#2

[tex]\\ \sf\hookrightarrow 4x-3=-7[/tex]

[tex]\\ \sf\hookrightarrow 4x=-4[/tex]

[tex]\\ \sf\hookrightarrow x=-1[/tex]

Correct

#3

[tex]\\ \sf\hookrightarrow 3y-4=5[/tex]

[tex]\\ \sf\hookrightarrow 3y=9[/tex]

[tex]\\ \sf\hookrightarrow y=3[/tex]

Ans not given

#4

[tex]\\ \sf\hookrightarrow -2y+7=12[/tex]

[tex]\\ \sf\hookrightarrow -2y=5[/tex]

[tex]\\ \sf\hookrightarrow y=-5/2[/tex]

Incorrect

#5

[tex]\\ \sf\hookrightarrow 3a-6=18-a[/tex]

[tex]\\ \sf\hookrightarrow 4a=24[/tex]

[tex]\\ \sf\hookrightarrow a=6[/tex]

Incorrect

#6

[tex]\\ \sf\hookrightarrow 5(2t-1)=2[/tex]

[tex]\\ \sf\hookrightarrow 10t=7[/tex]

[tex]\\ \sf\hookrightarrow t=7/10[/tex]

Incorrect

#7

[tex]\\ \sf\hookrightarrow ax-b=0[/tex]

[tex]\\ \sf\hookrightarrow x=\dfrac{b}{a}[/tex]

Correct

Done

SOMEBODY HELP NO LINKS PLZ AND THANK YOU


given the table below which function shos an exponential function


table

x f(x) g(x) h(x)
1 64 65 5

2 32 54 7

3 16 43 10

4 8 32 14


A f(x)

B g(x)

C h (x)

D none of the above

Answers

f(x) is showing the exponential function 2^(7-x)

solve the sinusoidal equation:


5sin(3x)-1=3

Answers

Answer:

[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]

Step-by-step explanation:

[tex]5sin(3x)-1=3[/tex]

[tex]5sin(3x)=4[/tex]

[tex]sin(3x)=\frac{4}{5}[/tex]

[tex]3x=0.92729521+2\pi n,2.21429743+2\pi n[/tex]

[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]

identify a possible explicit rule for the nth term of the sequence 9, 17, 25, 33, 41​

Answers

Answer:

The explicit formula for the nth term of the sequence is [tex]a_n=9+8(n-1)[/tex]

Step-by-step explanation:

Recall:

The explicit formula for a sequence is [tex]a_n=a_1+(n-1)d[/tex] where [tex]a_n[/tex] is the [tex]n[/tex]th term, [tex]a_1[/tex] is the first term, and [tex]d[/tex] is the common difference

Given:

First term --> [tex]a_1=9[/tex]

Common Difference --> [tex]d=8[/tex]

Substitute:

[tex]a_n=9+(n-1)(8)[/tex]

[tex]a_n=9+8(n-1)[/tex]

a man buys an article for $600 and sells it for $710/ what is the profit or loss​

Answers

Answer:

110$ (profit)

Step-by-step explanation:

a man buys an article for $600 and sells it for $710/ what is the profit or loss​?

a financial gain, especially the difference between the amount earned and the amount spent in buying, operating, or producing something.

so

710 - 600 = 110$ (profit)

Answer:

Profit of 110

Step-by-step explanation:

As he sells it at a higher price, he makes a profit.

3. A store is having a sale to celebrate President's Day. Every item in the store is advertised as one-fifth (1/5)off
the original price. If an item is marked with the original price of $175, what is the sale price? Show your
work.

Answers

Step-by-step explanation:

1/5 of 175

=1/5×$175

=$35

sale price = original price - discount price

= $175 -$35

= $140

Express the following surds in the simplest form

a)
[tex] \sqrt{128} [/tex]
b)
[tex] \sqrt{48} [/tex]
c)
[tex] \sqrt{300} [/tex]

Answers

[tex] \sqrt{128} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} } \\ = 2 \times 2 \times 2 \\ = 8[/tex]

[tex] \sqrt{48} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times 3 } \\ = 2 \times 2 \sqrt{3} \\ = 4 \sqrt{3} [/tex]

[tex] \sqrt{300} \\ = \sqrt{2 \times 2 \times3 \times 5 \times 5} \\ = \sqrt{ {2}^{2} \times 3 \times {5}^{2} } \\ = 2 \times 5 \sqrt{3} \\ = 10 \sqrt{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

f(x) = 11 – 5x for f(9)

A.-46
B.-44
C.44
D.45

Answers

Answer:45

Step-by-step explanation: math solver

Answer:

the answer is not there. the answer is -34

Step-by-step explanation:

11-5(9) .        11-45

TRUE OR FALSE

There are whole numbers that are not integers.

There are rational numbers that are not whole
numbers.

All rational numbers are integers.

All whole numbers are rational numbers.

Answers

False. All whole numbers are integers.True. For example, 1/2 is a rational number but it is not a whole number.False. For example, 2/7 is a rational number but not an integer.True. Each and every whole numbers are rational numbers.

ANSWERS:

[tex]1. False \\ 2. True \\ 3. False \\ 4. True \\ [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

A gardener measures the dimensions of a rectangular garden that is 9 meters wide by 12 meters long. If the gardener draws a blueprint of the garden, where each meter is equivalent to
inch, which statements are true?
Select ALL that apply.
The area of the blueprint is square inches
The area of the blueprint is 108 square inches
The length of the blueprint is 6 meters
The perimeter of the blueprint is 28 inches.
The width of the blueprint is 8 meters
Calculator

Answers

Answer:

Catalog Name:*Shimmering Chic Earrings*

Base Metal: Alloy

Plating: Gold Plated

Stone Type: Cubic Zirconia/American Diamond

Type: Jhumkhas

Multipack: 1

Easy Returns Available In Case Of Any Issue

*Proof of Safe Delivery! Click to know on Safety Standards of Delivery Partners- https://ltl.sh/y_nZrAV3

The statements are true:

The area of the blueprint is square inches

The area of the blueprint is 108 square inches

What is Area of rectangle?

The Area of Rectangle is product of its length to its width.

So, Area of Rectangle = length x width

Given:

length= 12 inch

and width= 9 inch

Area of Blue print = l x w

                              = 12 x 9

                              = 108 square inches.

Perimeter of Blue print = 2 ( l+ w)

                                       = 2( 12+ 9)

                                       = 42 inches

Learn more about Area of rectangle here:
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find the equation of a circle concentric with the circle x^2+y^2-2x-10y+1=0 passing through the point (2,-3)​

Answers

Answer:

Step-by-step explanation:

x²+y²-2x-10y+1=0

compare with x²+y²+2gx+2fy+c=0

center is (-g,-f)

radius=√(g²+f²-c)

2g=-2

g=-1

2f=-10

f=-5

radius=(1,5)

c=1

let eq. of circle be x²+y²-2x-10y+c=0

∵ it passes through (2,-3)

2²+(-3)²-2(2)-10(-3)+c=0

4+9-4+30+c=0

c=-39

eq. of circle is is x²+y²-2x-10y-39=0

Choose the number that makes the statement true: -5>?
a. 9
b. -9
C. -3
d. 3

Answers

Answer: This is B.) -9

Step-by-step explanation:

Step-by-step explanation:

All of those numbers are greater than -5 except for B.

Please help me with this question. I will mark you brainliest. ​

Answers

Answer:

Option D : $153

This is how I got that:

9:30 AM to 1:15 PM = 3 hours and 45 minutes

The first hour charges $15 and for the remaining 2 hours and 45 minutes

Mr. Anand is charged 36$. Remember it says that each additional hour or part thereof, so the 2 hours and 45 minutes is considered 3 hours.

So our total for one paddle boat is $51

But Mr. Anand hired three boats so we simply times 51 by 3 and get our solution to the problem:

Mr. Anand must pay $153 or Option D

~That's All Folks~

-Siascon

How much pizza will each person get if 4 people share
of a pizza equally?
A)1/3

B)1/4

C)1/6

D)3/16

Answers

B 1/4
Explanation: The total number of pizza you need for everyone is 4. Each person gets 1 out of the 4 pieces aka 1/4

Answer: B)1/4

Step-by-step explanation: If you divide a pizza into 4 pieces, each person will get a fourth of the pizza.

what is the product of -2/7 and -3/7?​

Answers

Answer:

6/49

Step-by-step explanation:

2/7 * 3/7

2 * 3/ 7 * 7

3 * 3/7¹⁺¹

2 * 3/7²

6/49

Answer:

D

Step-by-step explanation:

What is with simplifying
-3p + 6p

Answers

Answer:

-3p+6p=3p

Step-by-step explanation:

It's just like saying -3+6,

but just with the p.

-3+6=3

therefore the answer is 3p

help help help meeee

Answers

Answer:

122

Step-by-step explanation:

since line m and line n are parallel the sum of the angles is equal to 180 degrees

58 + x = 180 subtract 58 from both sides

x = 122

2 squared all divided by 4
please

Answers

Answer:

think answer is 0.5 each

1985 x 99 I already know the answer: 196515

Answers

Answer:

196515

Step-by-step explanation:

Answer:

196515

Step-by-step explanation:

pls help im gonna fail geometry:(

(4 points) Given two lengths of a triangle 2.2 ft. and 3.2 ft. which inequality will give all the
possible lengths of the third side, s?
A 2.2 ft < s <3.2 ft tabclft < s < 5.4 ft
B 2.2 ft < s < 5.2 ft
1326

Answers

B for Benjamin Franklin

Answer:

its ether a or d

Step-by-step explanation:

ps (id like to tell you the exact answer but that would be considered plagerism and i dont want anyone to receive the consenquesnces of that. I hope you understand and that this helps you)

Please help!!!! Will give brainliest!!!!

Answers

Answer:

it is c

Step-by-step explanation:

Don Swifter earns $9.75 per hour as a clerk. He starts work Monday through Friday morning at 8:00 AM. He takes a one-half hour lunch break every day. If he finishes work at 3:30 PM Monday through Thursday, how late must he work on Friday to have total pay of $360.75 for the week?

Answers

Answer:

He works until 5:30.

Step-by-step explanation:

ok so first, every day don would take a total of 7 hours and 30 minutes on mon-Thurs. If we subtract his lunch from that total it would be 7 hours so next we do 7 hours times 9.75 which is 68.25$. Now that we know how much he makes per day, we times that by 4 since mon-thurs is 4 days. This would be 273$. Now we need to get to 360.75 so we subtract that. This would be 87.75$. Now if a normal day is 68.25$ and friday is 87.75, we find the diffrence which is 19.50. which is also 9.75(an hour) x 2 resulting in 2 hours extra. Therefore, he works 9 hours and 30 minutes on fridays (until 5:30). Thanks for putting in the work to understand and have a nice day!

Don must work approximately 9 additional hours on Friday to have a total pay of $360.75 for the week.

How to determine how late he must work

Don works from 8:00 AM to 3:30 PM Monday through Thursday. Let's calculate his total work hours for these four days:

Total work hours from Monday to Thursday:

(3:30 PM - 8:00 AM) - 0.5 hours (lunch break)

= 7.5 hours - 0.5 hours

= 7 hours (per day)

Total work hours for the week (Monday to Thursday):

4 days x 7 hours/day = 28 hours

Total pay for the week = Hourly rate x Total work hours + Additional hours on Friday

$360.75 = $9.75 x 28 hours + Additional hours on Friday

Additional hours on Friday = ($360.75 - $9.75 x 28) / $9.75

Additional hours on Friday = ($360.75 - $273) / $9.75

Additional hours on Friday = $87.75 / $9.75

Additional hours on Friday ≈ 9 hours (rounded to the nearest hour)

Learn more about work hours

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A family of 6 used 5400l of water in 7 days. Each member of the family used the same amount of water each day. How many litres of water did each person use in a day?

Answers

Answer:

Hello! The answer for this is 900 liters a day

Step-by-step explanation:

Look at the sheet for answer.

A graph, a table and equation are shown below. Please help!

Answers

Answer:

A) slope is 1

B) Slope is 3

C) slope is 0.5

Step-by-step explanation:

Using Rise over run method and mx+b


Help please and thanks

Answers

Answer:

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

Step-by-step explanation:

Consider the figure

We have

[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]

[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]

[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x^2 from (−1, 2) to (0, 0)
(a) find a function f such that f = ∇f.
f(x, y) =
(b) use part (a) to evaluate c ∇f · dr along the given curve C.

Answers

(a) If there is a scalar function f(x, y) such that ∇ f(x, y) = x² i + y² j, then

∂f/∂x = x²

∂f/∂y = y²

Integrating both of these equations with respect to x and y (respectively) gives

f(x, y) = 1/3 x³ + g(y)

f(x, y) = 1/3 y³ + h(x)

Differentiating with respect to the other variable gives

∂f/∂y = g'(y) = y²

∂f/∂x = h'(x) = x²

so it follows that

f(x, y) = 1/3 x³ + 1/3 y³ + C

for some constant C.

(b) By the gradient theorem,

[tex]\displaystyle \int_C \nabla f \cdot d\vec r = f(0,0) - f(-1,2) = \boxed{-\dfrac73}[/tex]

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