A box contains 8 white balls, 7 black balls, & 2 red balls.
a) how many red balls must be added to the box so that the probability of drawing a red ball is 8/9
b)how many black balls must be added to the original box so that the probability of drawing a white ball is 1/9?

Answer:

156

Step-by-step explanation:

CD+BC=BD

[tex](5x - 15) + 4x = 9x - 15 = 8x + 4 \\ x = 19 \\ bd = 8x + 4 = (8 \times 19) + 4 = 156[/tex]

Answer:

Jacob's age is 42

Jasmine's age is 24

Step-by-step explanation:

Let Jacob's age be x

Let Jasmine's age be y

x + y = 66

x - 6 = 2(y - 6)

x - 6 = 2y - 12

x - 2y = -12 + 6

x - 2y = -6

x + y = 66 ------- (1)

x - 2y = -6 ------- (2)

From (1),

x = 66 - y -------- (3)

Substitute the value of x in (2)

x - 2y = -6

66 - y - 2y = -6

-3y = -6 - 66

-3y = -72

y = -72/-3

y = 24

Solve for x in (1)

x + y = 66

x + 24 = 66

x = 66 - 24 = 42

x = 42, y = 24

Answer:

the answer of this question is

the coffiecent is p

Answer:

(C) 7

Step-by-step explanation:

We can create an equation here.

We know that Zander has 38 texts. He sends 28 texts per day.

Let us represent x as the number of days.

This can be represented as an expression, [tex]38+28x[/tex].

Same logic for Chloe.

52 texts already, 26 texts per day: [tex]52+26x[/tex]

If their texts are equal, both expression are equivalent to each other.

[tex]38+28x = 52+26x[/tex]

We can simplify this equation to get x on one side of it.

Subtract 38 from both sides:

[tex]28x = 14+26x[/tex]

Subtract 26x from both sides:

[tex]2x =14[/tex]

Divide both sides by 2:

[tex]x = 7[/tex]

So, Chloe and Zander will have sent the same amount of texts after 7 days.

Hope this helped!

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

Explanation:

n = numerator polynomial = unknown (what we want to solve for)

d = denominator polynomial = x-2

q = quotient = x-6

r = remainder = -6

Based on that, we can say,

n/d = q + r/d

n = q*d + r ... multiply every term by d

n = (x-6)(x-2) + (-6) .... substitution

n = x^2-8x+12-6

n = x^2-8x+6

Dividing (x^2-8x+6) over (x-2) leads to a quotient of (x-6) and a remainder of -6.

Answer:

y = -7x + 9

Step-by-step explanation:

Point-slope form:

y - 2 = -7 (x -1)

y - 2 = -7x + 7

y - 2 + 2 = -7x + 7 +2

y = -7x + 9

Answer: ( L+W)

Step-by-step explanation:

Answer:

-1000

Step-by-step explanation:

-10 times -10 makes 100 as negative cancel each other

100 times -10 make -1000

Answer:

-1000

Step-by-step explanation:

-(10x10x10)

-10^3

-1000

Answer: $9.86

Step-by-step explanation:

$11.60 ⋅ 8.5 = $98.60

$98.60 / 10 = $9.86

Answer:

2+2 = 4

Step-by-step explanation:

you see..... •• (2) + ••(2) = •••• (4) << you just need to count them

Answer:

Step-by-step explanation:

f(x) = 2x – 1

To find f(13) substitute the value of x that's 13 into f(x). That is for every x in f (x) replace it with 13

We have

f(13) = 2(13) - 1

= 26 - 1

We have the final answer as

Hope this helps you

Answer:

answer is A $435.20

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

Answer:

20

Step-by-step explanation:

[tex]100 = 20 \times 5[/tex]

Answer:

The first element of a set which is linked with the element of second set is called domain.

The element of second set is known as range.

Answer:

When functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. These won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. Small sets of points are generally the simplest sorts of relations, so your book starts with those.

for example

State the domain and range of the following relation. Is the relation a function? {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

The above list of points, being a relationship between certain x's and certain y's, is a relation. The domain is all the x-values, and the range is all the y-values. To give the domain and the range, I just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(It is customary to list these values in numerical order, but it is not required. Sets are called "unordered lists", so you can list the numbers in any order you feel like. Just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

While the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). Since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

Answer:

a. (23.4%, 38.9%)

Step-by-step explanation:

Р = x/∝ = 52/167 = 0.3114

At 95% confidence level

∝ = 1 - 0.95 = 0.05

Zerit = Z0.05/2 = 1.96

Р ± Zerit [tex]\sqrt{P(1-P) / n}[/tex]

= 0.3114 ± 1.96 [tex]\sqrt{0.3114(1-0.3114) / 167}[/tex]

= 0.3114 ±  0.0702

= 0.2412 or 0.3816

= 24.1% or 38.1%

Closest Option = 23.4%, 38.9%

A 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

The formula for calculating the confidence interval based o proportion is expressed according to the formula:

[tex]p\pm z\sqrt{\frac{p(1-p)}{n} }[/tex]

z is the z-score at 95% confidence interval

p is the proportion

n is the sample size

Given the following parameters

p = 52/167 = 0.31

z = 1.96

n = 167

Substitute the given parameters into the formula to have:

[tex]CI=0.31 \pm 1.96\sqrt{\frac{0.31(1-0.31)}{167} } \\CI=0.31 \pm 1.96\sqrt{\frac{0.31(0.69)}{167} } \\CI=0.31 \pm 1.96(0.035)\\CI=0.31\pm 0.0701\\CI = (0.31-0.0701, 0.31+0.0701)\\CI=(0.234, 0.389)[/tex]

Hence a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

Learn more on confidence interval here: https://brainly.com/question/17212516

This question was not written properly

Complete Question

(7.006 x 10⁴¹) x (5.09 x 10²²)

OA) 3.566 x 10⁴¹

OB) 3.566 x 10⁶²

ОС) 3.566 x 10⁶³

OD)3.566 x 10⁶⁴

Answer:

D. 3.566 × 10⁶⁴

Step-by-step explanation:

We are asked to solve:

(7.006 x 10⁴¹) x (5.09 x 10²²)

When we multiply this together

= (7.006 × 5.09 ) × 10(⁴¹+²²)

= (7.006 × 5.09 ) × 10⁶³

= 35.66054 × 10⁶³

= 3.566054 ×10⁶⁴

Approximately = 3.566 × 10⁶⁴

Answer:

uhh okay what's the question

Answer:

x=28.7

Step-by-step explanation:

I just answered the question.

Answer:

Step-by-step explanation:

2x + 1 = 9

2x = 8

x = 4

answer is A

Answer:

(2,2)

Step-by-step explanation:

mid point formula: x1+x2/2      y1+y2/2

5+(-1)=4/2=2

8+(-4)=4/2=2

(2,2)

Answer:

E = 76°

Step-by-step explanation:

Exterior angle B = 116°

So ABC = 180° - 116°

= 64°

In triangle ABC , AC = BC ( given )

So angle BAC = angle ABC = 64° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

BAC + ABC + ACB = 180°

=> ACB + 64° + 64° = 180°

=> ACB = 180° - 128°

= 52°

Also , angle ACB = angle ECD = 52° ( Vertical Opposite Angles are equal )

In triangle ECD ,

EC = ED ( given )

So, angle ECD = angle EDC = 52° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

ECD + EDC + CED = 180°

=> 52° + 52° + CED = 180°

=> CED = 180° - 104°

= 76°

Answer:

10

Step-by-step explanation:

in scientific notation a number cant be greater than 10. so you have to move the decimal to make it under 10.

Answer: my sis helped me a little so i think its right try 1,500

Step-by-step explanation:

if she gets paid 849000 a year then i would divide 849000 by 12 cause theres that meany months in a year then with that number subtract the Christmas plus witch is 5500 and thats the answer i think

Answer:

7 > x

Step-by-step explanation:

16 > x + 9

you subtract 9 from both sides to get your variable by yourself and you keep the same sign

7 > x

Answer:

12 + (8k) = 48

k= 9/2

Step-by-step explanation:

Answer:

Zero, One, Two

Step-by-step explanation:

when it's like

[tex]y=a|x-b|+c[/tex]

with

[tex]c>0[/tex]

it will be upward

[tex]y=a|x-b|[/tex]

it will touch it in  [tex](b,0)[/tex]

[tex]y=a|x-b|-c[/tex]

with

[tex]c>0[/tex]

the equations are just an example, there can be other ways too

have three or more it's impossible, because the absolute value graph is the union of two lines, and each line at most can touch the x-axis once

Answer: C) local maximum at x = -3; local minimum at x = 1/3

Step-by-step explanation:

Given the function:

f(x) = x^3 + 4x^2 - 3x - 4

Set f'(x) = 0

f'(x) = 3x² + 8x - 3

f'(x) = 0

3x² + 8x - 3 = 0

Using the quadratic function calculator :

x = - 3 or x = 1/3

Critical points = - 3 ; 1/3

To find the maximum and minimum points :

f''(x) = 6x + 8

Substitute the values of X in

At x = - 3

6(-3) + 8

-18 + 8 = - 10

At x = 1/3

6(1/3) + 8

2 + 8 = 10

Value of f''(x) at - 3 is negative, hence - 3 is the maximum point

Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point

Answer:

B

Step-by-step explanation:

2x3=6 and 6x4=24 so 6-24= -18

Answer:

B

Step-by-step explanation:

-18