In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?

Answers

Answer 1

Answer:

3/10

Step-by-step explanation:

let n(B)=students who have a brother

n(S)= students who have a sister

n(U)=n(B)+n(S)+n(BUS)'-n(BnS)

30=12+25+2-n(BnS)

30=39-n(BnS)

n(BnS)=39-30=9

So 9 students have a brother and a sister

Probability=9/30=3/10

Answer 2

The probability that a student who has a brother also has a sister will be 0.30.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings.

The number of students who have both brothers and sisters. Then we have

25 - x + 12 - x + x + 2 = 30

x = 25 + 12 + 2 - 30

x = 9

Then the probability that a student who has a brother also has a sister will be given as,

P = 9 / 30

P = 0.30

The probability that a student who has a brother also has a sister will be 0.30.

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Related Questions

Is the binomial a factor of the polynomial function?

f(x) = x^3 + 3x^2 – 25x – 75

Select Yes or No for each binomial.

Answers

Answer:

Yes, the binomial is a factor of the polynomial function.

Step-by-step explanation:

Consider the given polynomial.

Factor out the common term [tex]x^2[/tex] from the first two terms and [tex]-25[/tex] from the last two terms.

[tex]x^3 + 3x^2 -25x-75=x^2(x+3)-25(x+3)[/tex]

Factor out the polynomial.

[tex]x^2(x+3)-25(x+3)=(x+3)(x^2-25)[/tex]

Further, simplify.

[tex](x+3)(x^2-25)=(x+3)(x+5)(x-5)[/tex]

Therefore, [tex]x^3 + 3x^2 -25x-75=(x+3)(x+5)(x-5)[/tex]

A binomial factor is simply a factor with two terms, like (x - a).

Hence, the given polynomial function is binomial as it contains the factor with two terms, like (x - a).

Answer:

Yes           No

Yes(x+3)  No (x−1)  

Yes – (x−5)

Yes – (x+5)   No – (x−3)    

Step-by-step explanation:

Hello future k12/brainly users

pls give FelisFelis upvotes and thanks because they gave the original answer and were downvoted despite being right mostly because whoever downvoted them (calling you out 5 downvoters) didn't take the time to read the explanation correctly.

Which graph best represents an increasing function? (1 point)

A graph shows a straight line that joins the ordered pairs 3, 0 and 3,5.
A graph shows a straight line that joins the ordered pairs 0, 2 and 5, 2.
A graph shows a straight line that joins the ordered pairs 0, 5 and 5,0.
A graph shows a straight line that joins the ordered pairs 0,0 and 5,5.

Answers

A graph that shows the ordered pairs 0,0 and 5,5.

Answer:

D

Step-by-step explanation:

Graph the system below and write its solution.
y = -x+2
-2x-2y=-6
Note that you can also answer "No solution" or "Infinitely

Answers

Answer:

No solution.

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution set to the systems of equations.

If the 2 lines are parallel, then they will have no solution.

If the 2 lines are the same, then they will have infinite amount of solutions.

According to the graph, our lines are parallel. Therefore, we have no solution.

John went on a bike ride to the store 4 miles away. If it took John 310 of an hour to get there and 12 of an hour to get back, what was his average rate of speed (miles per hour) for the entire trip?

Answers

Answer:

/???

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Please help this is timed!!!!

Answers

Answer:

C and D

89 _> 12.50t -14

+14 +14

103 _> 12.5t

/12.5 /12.5

8.24 _> t

PLZ HELP GIVING BRAINLIEST TO FIRST ANSWER AND 100 POINTS



Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.

Answers

Answer:

ACTUALLY I HAD MADE A PPT IN PREZI THE ANSWER IS THERE PLS CHECK THERE : JUST SEARCH THIS QUESTION IN PREZI U WILL GET IT (I PROMISE)

HOPE IT HELPS

IF IT HELPS PLS MARKE AS BRAINLIEST ! :)

Step-by-step explanation:

Answer:

im answering so other guy gets brainliest

Step-by-step explanation:

a = w + 5
The variable w represents the number of weeks he has attended culinary school, and the variable a represents the total number of appetizer recipes he knows. After how many weeks of culinary school will Noah know a total of 18 appetizer recipes?

Answers

Answer:

13

Step-by-step explanation:

a = w + 5

18 = w + 5   [subtract 5 from both sides of equation]

13 = w

Holly earns $15 per hour tutoring students after school. If Holly tutored for 3 hours this month, how much money did she earn this month? help pls

Answers

Answer:

$45

Step-by-step explanation:

Per hour = $15

3 hours = $?

15 x 3

45

The points ​(10​,16​) and ​(30​,48​) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.

Answers

Answer:

1.6

Step-by-step explanation:

Step one:

given data

x1=10

y1=16

x2=30

y2=48

Required

The slope of the given points

Step two:

The expression for the slope is

S= change in y/change in x

S= y2-y1/x2-x1

S= 48-16/30-10

S=32/20

S=1.6

Hence the slope is 1.6

Please helppppppp!!!!!!! I need the answer quick and please be correct of you don’t know it don’t answer I beg you.

Answers

Answer:

A

Step-by-step explanation:

the domain is the x value

range y value

PLS HELP BRAINLIEST ND EXTRA POINTS !
From the trade fairs in France, Germany, and Holland, river and land trade routes carried goods such as wool, wheat, and precious metals into the region. The widespread trade that stretched from Egypt to the Baltic created large financial surpluses that allowed big investments in mining and agriculture. What region is being described in this passage? A. northern Italy B. sub-Saharan Africa C. northern England D. southern Spain

Answers

Step-by-step explanation:

i think is the answer is d

Northern Italy is described in the passage of trade fairs in France.

Option A is the correct answer.

What are trade fairs?

Trade fairs, also known as trade shows or exhibitions, are events where companies showcase their products or services to potential customers, partners, and investors.

We have,

The region described in the passage is not mentioned directly, but it can be inferred that the trade fairs in France, Germany, and Holland were part of a larger trading network that extended from Egypt to the Baltic.

Based on this information, we can eliminate options B, C, and D.

Northern Italy was also an important region for trade and finance during this time period, but it is not explicitly mentioned in the passage.

Therefore,

The most likely answer is Northern Italy.

Thus,

Northern Italy is described in the passage of trade fairs in France.

Learn more about trade fairs here:

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The cost of admission to the Baytown Zoo is $10.50 for each senior citizen, $15.75 for each adult, and $8.25 for each child. What if 2 more tickets for admission are purchased? If the two additional tickets cost $16.50, determine what type of tickets the family purchases. Explain how you can determine the answer without calculating.

Answers

Answer:

Child ticket

Step-by-step explanation:

Cost per senior citizen = $10.50

Cost per adult = $15.75

Cost per child = $8.25

Since the cost of the 2 additional ticket is $16.50

Then the only ticket of which two can be purchased with that amount is :

$16.50 / 2

= $8.25

Cost of children ticket.

1/3 2/7 Common
Denominator: ________

Answers

Answer:

21

Step-by-step explanation:

btw is it LDC or GCD?

Value of the constant

Answers

Answer:

answer in explination

Step-by-step explanation:

A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

I dont really know what the question is so i just put what "Value of the constant" is

The equation c=0.09sc=0.09s gives the amount cc (in dollars) of commission a salesperson receives for making a sale of ss dollars.
What’s the independent and Dependent variable

Answers

Answer:

independent variable is s and the dependent variable is c

Step-by-step explanation:

Answer:

is not the top it is this

Step-by-step explanation:

The equation c=0.09s  represents the amount c  (in dollars) of commission a salesperson receives for making a sale of s dollars.

The independent variable is s

.

The dependent variable is c

.

Most pets age at a different rate than their human companions. For example, a 3-year-old dog is often considered to be 21 in human years. Assume that the age of a dog varies directly as its equivalent age in human years. What is the human-year age of a dog that is 6-years-old?

Answers

Answer: 42 years

Explanation: Since the problem tells us that a 3 year old dog is 21 years of age, we know the ratio is 1:7. When it asks us how old a 6 year old dog is in dog years we do 6(7) and get 42 years. Hope this helped!

The human-year age of a dog that is 6 years old is 42.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that most pets age at a different rate than their human companions. For example, a 3-year-old dog is often considered to be 21 in human years.

The human-year age of a dog that is 6 years old will be,

3 years old dog = 21 human gae

6 year old dog = 21 x 2 = 42 human age

To know more about an expression follow

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in a factory, a machine produces 2000 bolt for every 50 pounds of steel used. How many bolt will the machine produce if 255 pounds of steel are used?

Answers

Answer:

10,500

Step-by-step explanation:

10,200

you divide 255÷50 and it gives you 5.1

then you just multiply 2000×5.1

10 snails is to be chosen from this population. Find the probability that the percentage of streaked-shelled snails in the sample will be (a) 50%. (b) 60%. (c) 70%.

Answers

Here is the full question:

[tex]The \ shell \ of \ the \ land \ snail \ Limocolaria \ martensiana \ has \ two \ possible \ color[/tex][tex]forms: \ streaked \ and \ pallid. \ In \ a \ certain \ population \ of \ these \ snails, \ 60\% \ o f \ the[/tex][tex]individuals \ have \ streaked \ s hells.\ 16 \ Suppose \ that \ a \ random \ sample \ of \ 10 \ snails[/tex][tex]is \ to \ be \ chosen \ from \ this \ population. \ F ind \ the \ probabilit y \ that \ the \ percentage \ of[/tex]

[tex]streaked-shelled \ snails \ in \ t he \ sample \ will \ be[/tex]

[tex](a) 50\%. \ (b) 60\%. \ (c) 70\%.[/tex]

Answer:

(a) 0.2007

(b) 0.2510

(c) 0.2150

Step-by-step explanation:

Given that:

The sample size = 10

Sample proportion= 60% 0.6

Let X represents the no of streaked-shell snails.

[tex]X \sim Binom (n =1 0, p = 0.60)[/tex]

The Probability mass function (X) is:

[tex]P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...[/tex]

The Binomial probability with mean μ = np

= 10 * 0.6

= 6

Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]

= [tex]\sqrt{10*0.6*(1-0.6)}[/tex]

= 1.55

The probability that the percentage of the streaked-shelled snails in the sample will be:

a)

[tex]P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}[/tex]

[tex]= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}[/tex]

= 0.2007

b)

[tex]P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}[/tex]

[tex]= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}[/tex]

= 0.2510

c)

[tex]P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}[/tex]

[tex]= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}[/tex]

= 0.2150


Steve rounds his favorite number to the nearest hundred to get 400. Which of these could NOT be Steve's favorite number?

396

460

448

375

Answers

Answer:

460 can not be the number because 460 nearest hundred is 500

If AUVW~ ARST, what is the value of x?
Enter your answer in the box.
V
30
w
S
42
X T
21
U
R
X =

Answers

Answer:120

Step-by-step explanation:


Select all statements that are true about the graph of ordered pair (5, -1).

Answers

Answer:

2nd and 3rd options are the right answers

Step-by-step explanation:

The point is in the fourth quadrant

The point is 1 unit below x axis

What is the tangent ratio for

Answers

Answer:

Tangent ratio is the ratio of opposite side to adjacent side of a right triangle. Same as the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right angle triangles.

Step-by-step explanation:

please help me I need good grades!!!!
<3

Answers

Answer: 2 batches

Step-by-step explanation: 2 2/3 divided by 1 1/3 = 2

If one inch represents 14 feet what dimensions would you use to make a scale drawing of a building 44 feet by 50 feet?

Answers

im sorry

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Simplify the following expression: 9 – 3x + (-6x) + 4

Answers

Answer:

-9x + 13

Step-by-step explanation:

9 -3x +(-6x) +4

you will add -3x+(-6x), then add 9+4

-3x+(-6x) = -9x   (a negative pus and negative = a negative

9 +4 = 13

-9x + 13

a speaker uses electrical energy to play music and then in this example which type of energy has the electrical energy being transformed into A. heat b. light C. motion D. sound​

Answers

Answer:

D sound

Step-by-step explanation:

i belive is sound

Answer:

sound

Step-by-step explanation:

speakers make sound waves, not motion, light, or heat.

Find the equivalent expression.

3+5x−4y+2y−8x

Answers

Answer:

-3x - 2y + 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3 + 5x - 4y + 2y - 8x

Step 2: Simplify

Combine like terms (x):                    -3x - 4y + 2y + 3Combine like terms (y):                    -3x - 2y + 3

Answer:

3+5x−4y+2y−8x is the equivalent ti 3-3x-2y

Step-by-step explanation:

3+5x−4y+2y−8x

3+5x-8x-4y+2y

3-3x-2y

What is the solution to the equation 1/4x+2=-5/8x-5?
O X=-8
O X=-7
O X=7
O X=8

Answers

Answer:

The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]

Option A is correct option.

Step-by-step explanation:

What is the solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]

Solving the equation

[tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]

Subtracting 2 on both sides

[tex]\frac{1}{4}x+2-2=\frac{-5}{8}x-5-2\\\frac{1}{4}x=\frac{-5}{8}x-7[/tex]

Adding 5/8x  on both sides

[tex]\frac{1}{4}x+\frac{5}{8}x=\frac{-5}{8}x-7+\frac{5}{8}x\\\frac{2x+5x}{8}=-7 \\\frac{7x}{8}=-7[/tex]

Multiply both sides by 8/7

[tex]\frac{7x}{8}\times \frac{8}{7}=-7 \times \frac{8}{7}\\x=-8[/tex]

So, we get x = -8

The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]

Option A is correct option.

Find the distance between the two points and simplest rational form (3,-4) (6,-7))

Answers

Answer:

[tex]D = 3\sqrt{2}[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,-4)[/tex]

[tex](x_2,y_2) = (6,-7)[/tex]

Required

Determine the distance between the two points

Distance (D) is calculated as:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substitute values for x's and y's

[tex]D = \sqrt{(6 - 3)^2 + (-7 - (-4))^2}[/tex]

[tex]D = \sqrt{(6 - 3)^2 + (-7 +4)^2}[/tex]

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

[tex]D = \sqrt{9+9}[/tex]

[tex]D = \sqrt{18}[/tex]

Express as 9 * 2

[tex]D = \sqrt{9*2}[/tex]

Split:

[tex]D = \sqrt{9}*\sqrt{2}[/tex]

[tex]D = 3*\sqrt{2}[/tex]

[tex]D = 3\sqrt{2}[/tex]

Help Me fast please
2[3(4²+1)]-2³

Answers

Answer:

94

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

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