In a class of 29 students, 20 have a brother and 8 have a sister. There are 3 students who do not have any siblings. What is the probability that a student chosen randomly from the class is an only child?

Answers

Answer 1

Answer: 1/4 = 0.25 = 25%

Step-by-step explanation:

Let x be the number of students having both brother and sister.

Brother only is 9-x

Sister only is 16-x

Brother only + sister only + both + neither = 28

(9-x) + (16-x) + x + 7 = 28

32 - x = 28

x = 4

The probability per the diagram is 4/16 = 1/4

Per definition of conditional probability:

prob( brother | sister) = prob ( brother AND sister) / prob ( sister)

            = 4/16 = 1/4

1/4 = 0.25 = 25%

Answer 2

Answer:

3/29

Step-by-step explanation:

It's right trust me.


Related Questions

Range the temperature from lowest to highest

For points!!!

Answers

Answer:

-5, -3, 9, 11, 15, 22

Step-by-step explanation:

idrk how to explain

Find the area of the beans I will mark the brainiest answer

Answers

Answer:

4x^2 - 12x +9

Step-by-step explanation:

The figure is a square.

the area of a square is = side^2

area = (2x-3)^2 = 4x^2-12x +9

thanks to rule of the square of a binomial, we can skip this passage:

(2x-3)(2x-3) = 4x^2-6x-6x+9 =4x^2-12x +9

Answer:

4x²−12+9

Steps:

2x(2x−3)−3(2x−3)

4x²−6−3(2x−3)

4x²−6x−6x+9

4x²−12x+9

The area of a square photo frame is 144 cm2 . Find the perimeter of the photo fame, leaving your answer correct to 1 decimal place

Answers

Answer:

48 cm

Step-by-step explanation:

If it's square and the area is 144, then the sides are each 12cm (a = l x w, 144 = 12 x 12)

12cm x 4 sides = 48cm

Answer:

48

Step-by-step explanation:

The area is 144 cm².

A = s²

144 = s²

[tex]\sqrt{144\\}[/tex] = s

12 = s

photo frame is a square.

perimeter of a square = 4 * s

P = 4 *s

P = 4 (12)

P = 48

Simplify the expression: (in the image attached)

Answers

Step-by-step explanation:

Hey there!

[tex]\tt{\dfrac{\dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}}[/tex]

So, what we can do here is first take the Least Common Multiple here, on both Numerator and Denominator.

[tex]\tt{\dfrac{\dfrac{y + 2y^2 (1)}{x^2 y (2)}}{\dfrac{5y^2 - 6x (3) }{xy^2 (4)}}}[/tex]

[The number in brackets is for the next step :-

When we will further simplify it, we will multiply 1st with 4th and 2nd with 3rd.

[tex]\tt{\dfrac{y + 2y^2 \times xy^2 }{x^2 y \times 5y^2 - 6x }}[/tex]

[tex]\tt{\dfrac{y + 2y^2 \times y }{x \times 5y^2 - 6x }}[/tex] is the framed answer.

Answer:

[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]

Step-by-step explanation:

Lets do the numerator and denominator seperately:

Numerator:

1/x^2 + 2/y

Find common denominator and add these 2 fractions:

This is x^2y (I just multiplied the 2 denominators together’

Now, do what you have done to x^2 to make it x^2y, ie. multiplied by y, to the 1. This = y

And do what you have done to y to make it x^2y, ie. multiplied by x^2, to the 2. This = [tex]2^{2}[/tex]

Now, arrange all numbers we have found into the correct order in the fraction. This is:

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]

Denominator:

5/x - 6/y^2

Find the common denominator  and subtract these two fractions:

This is xy^2

Now, do what you have done to x to make it xy^2, ie. multiply by y^2, to the 5. This = 5y^2

And do what you have done to the y^2 to make it xy^2, ie. multiply by x, to the 6, this is = 6x

Now, arrange all the numbers we have found into the correct order in the fraction

[tex]\frac{5y^{2}-6x}{xy^2}[/tex]

Now that we have the numerator and the denominator, we can solve the equation.

The original question asks us to divide the 2 fractions, so:

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]  divided by [tex]\frac{5y^{2}-6x}{xy^2}[/tex]

For the division of fractions, you just have to multiply the inverse of the 2nd fraction by the first, so

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex] x [tex]\frac{xy^2}{5y^2-6x}[/tex]

Use cross multiplication to simplify the above expression to:

[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]

Hope this helps, sorry its long ...

HELP PLEASE!! ILL GIVE BRAINLIEST

Answers

x = -5 . I used photomath to solve this so it should be correct, hope this helps

400,000 + 40,000????

Answers

Answer:

440,000!!! LOL

Step-by-step explanation:

Answer:

440,000

Step-by-step explanation:

I got 440,000 as an answer because I did

400,000

+40,000

________

440,000

You could work from the ones to the hundred thousandths.

First add the zeros, then work to the thousandths. 0+0=0, 0+0=0,0+0=0,0+0=0,0+4=4, 4+0=4.

Therefore, 400,000+40,000=440,000.

A triangle with a 6 centimeter side ams a 8 centimeter side and an included amgle of 40 degrees. What term of triangle would this be?

Answers

Answer:

acute

Step-by-step explanation:

9-x/5=3 solve the folloswing equation for x

Answers

Answer:

x = 30

Step-by-step explanation:

x=30

becausebsbsbbsbsbssbshjsjshbzjs

Solve for
x
xx.
Enter the solutions from least to greatest.
x
2
+
7
=
43

Answers

Answer:

The answer would therefore be 'x=18'.

Answer:

Step-by-step explanation:

7/7

Select the correct answer from each drop-down menu.
A cylinder has a diameter of 10 units,
Its radius is
units. If its height is twice its radius, its height is
✓ units. Its volume is about
cubic units
Reset
Next

Answers

Answer:

the volume of the cylinder is 785 units^2

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

Given that

The diameter is 10 units

So, the radius is half of the diameter i.e. 5 units

The height would be twice of the radius i.e. 10 units

Now the volume of the cylinder is

=πr^2h

r denotes the radius

And h denotes the height

= 3.14 × 5^2 × 10

= 785 units^2

Hence, the volume of the cylinder is 785 units^2

Completing the square Acellus please help! x^2 + 10x -y + 15 = 0

Thank you!!

Answers

Step-by-step explanation:

y-15=x^2+10x

y-15+25=x^2+10x+25

y+10=(x+5)^2

Three corners of a rectangular dog park are located at the following coordinates: (–2, –1), (–2, 3), and (5, 3).

What is the total length of the fencing that is needed to go AROUND the dog park?

Answers

Answer:

22 units

Step-by-step explanation:

what expression is equivalent to (3^2)^-2

Answers

Answer:

1/81

Step-by-step explanation:

You just tap the calculator

Answer: 1/81

- First you simplify it to 3^-4

- Then express it with a positive exponent which goes to 1/3^4

- Then evaluate it to 1/81

hope this helps! :)

HELP ASAP!!!!!!!!!!!!!!1

Answers

8(x+3)=9

I think that’s the correct answer.

Solve for the value of k. ​

Answers

k=6

have an amazing day bye!

Answer:

Hello! k = 6

Step-by-step explanation:

40 + 90 = 130 so our last angle must be 50 sense this will add up to 180 so k = 6 because 7 x 6 = 42 and 42 + 8 = 50 so answer 6

A marine biologist randomly selected and placed radio tracking devices on 50 dolphins swimming in the Gulf of Mexico in 2020. He released the dolphins back into the population. A year later he caught 200 dolphins and found that 20 of them had tracking devices on them. What is the best estimate of the population of dolphins swimming in the Gulf of Mexico?

Answers

Answer:

Step-by-step explanation:

"The capture-recapture of individually distinctive signature whistles has not been attempted before," says the paper's senior author Dr Tess Gridley, Co-Director of Sea Search and the Namibian Dolphin Project and a postdoctoral fellow in the Department of Botany and Zoology at SU. "The dolphins use these sounds throughout life and each has its own unique whistle. Therefore, by recording signature whistles over time and in different places we can calculate where animals are moving to and how many animals there are in a population."

Working with Dr Simon Elwen of Stellenbosch University, the Namibian Dolphin Project has been researching Namibia's resident bottlenose dolphins for the past 12 years, and built up a catalogue of more than 55 signature whistles dating back to 2009.

This particular study was led by Emma Longden, who began the project during her BSc (Hons) Marine Biology degree at the University of Plymouth. As an undergraduate, Emma completed an internship with the Namibia Dolphin Project for a month in 2016, and returned again in 2018 to complete work on the mark-recapture project.

She analysed more than 4000 hours of acoustic data from four hydrophones positioned along the coast south and north of Walvis Bay, Namibia, during the first six months of 2016.

All in all, they identified 204 acoustic encounters, 50 of which contained signature whistle types. From these encounters, 53 signature whistle types were identified; 40 were in an existing catalogue developed in 2014 for the Walvis Bay bottlenose dolphin population, and 13 were newly identified. Of the 53 signature whistle types identified, 43% were captured only once, whereas the majority (57%) were recaptured twice or more.

"One of the great things about bioacoustics is that you can leave a hydrophone in the water for weeks at a time and collect so much data without interfering with the lives of the animals you are studying," says Emma, whose work on the project was also supervised by Dr Clare Embling, Associate Professor of Marine Ecology at the University of Plymouth.

Dr Embling added: "This work is incredibly important as it allows us to track and count the number of dolphins in small vulnerable populations. It builds on our previous research looking at the impacts of noise on marine organisms and monitoring vulnerable marine mammal populations. It also showcases the fantastic level of research that our marine biology students are able to achieve, and the opportunities available to them through our partnerships with conservation organisations such as the Namibia Dolphin Project and the Ocean Giants Trust."

Future research includes the work undertaken by PhD student Sasha Dines from Stellenbosch University to further refine the technique to better understand the population of endangered humpback dolphins in South Africa. Another PhD student, Jack Fearey from the University of Cape Town, is continuing to conduct research along the Namibian Coast.

the area of a semi circle when the radius is 28cm

Answers

I don’t have a calculator on me but do

28^2 = ...
Times that by pi
Then divide by 3

What is the square root of 6 - the square root of 12?

Please answer fast!

Answers

Answer:

1.01 or 1.0

Step-by-step explanation:

Square root of 6=6x6=36
Square roor of 12=12x12=144

To test the effect of partial day care on academic performance in young children, you plan to use two groups of 4-year-olds from the same preschool class: one group is made up of randomly selected children who attend part-time day care; the other group includes randomly selected children who do not attend any day care other than preschool. Both groups will complete a brief test of academic performance during a regular preschool class. Which type of test should you use to compare the mean scores of the two groups

Answers

Answer:

Independent samples t test

Step-by-step explanation:

The experiment performed above, required the independent samples t test as it invilves two seperate and distinct, otherwise called independent groups whereby one group has no effect on the outcome of the other. The means a ND standard deviation of the first group (4 year Olds who attend part time daycare) and the other group (4 year Olds who do not attend part time daycare). Hence, the comparison can be made using the two independent samples t test ;

With possible hypothesis relation being :

H0 : μ1 = μ2

H1 : μ1 ≠ μ2

Math help help help asap

Answers

Answer:

a) 0.071

b) 0.884

Step-by-step explanation:

a)

7.1 * 10^(2) = 7.1 * 0.01 = 0.071

b)

(6.8 * 10^2) * (1.3 * 10^(-3)) = 6.8 * 1.3 * 10^2 * 10^(-3) = 8.84 * 10^(-1) = 8.84 * 0.1 = 0.884

Answer:

a) 0.071

b) 0.884

Step-by-step explanation:

b) explanation

Group coefficients together and exponents together to multiply numbers in scientific notation.

(6.8 ⋅ 1.3) (10^2 ⋅ 10^−3)

Multiply 6.8 by 1.3

8.84 (10^2 ⋅ 10^−3)

Use the power rule a^m a^n = a^m+n  to combine exponents.

8.84 ⋅ 10^2 − 3

Subtract 3 from 2

8.84 ⋅ 10^ − 1

Convert  8.84 ⋅ 10^ − 1

from scientific notation.

0.884

hope this helps :) sorry I didn't include an explanation for a

p.s. i really need brainliest :)

im B.O.R.E.D I NEED TO T.A.L.K

Answers

Answer: hi thanks for the five

Step-by-step explanation:

Solve for a. -4a - 2a – 7 = 11 a = [?]​

Answers

Answer:

a = -7/17

Step-by-step explanation:

Add -4a to -2a

This makes -6a. Then you add 6a to the left to cancel it out, but you must also add 6a to the right of the =

Then you have -7 = 17a

Divide 17 from both sides and you have -7/17 = a

Please answer these 2!!!

Answers

Step-by-step explanation:

Answer attached...

Hope it helps :)

Solve for z. 7z+ 4 – 9z = 8 z = [?]​

Answers

Answer:

z = -2

Step-by-step explanation:

7z + 4 - 9z = 8 (The first step is to combine like terms, so 7z -9z = -2z)

-2z + 4 = 8 (Subtract 4 on each side)

-2z = 4 (Divide each side by -2)

z = -2

You can plug -2 back in to check, and you get:

7(-2) + 4 -9(-2) = 8

-14 + 4 + 18 = 8

8 = 8

Hopefully, this helped. Good luck!

Answer:

z=-2

Step-by-step explanation:

7z+4-9z=8

7z-9z=8-4

-2z=4 divide by-2

z=-2

Please help and explain thanks

A. EAD
B. DAC
C. BCA
D. CAE

Answers

Answer: EAD

Explanation: The angle mark is in between the points E, A, and D.

A bag contains 10 marbles: 3 are green, 2 are red, and 5 are blue. Brian chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that both marbles he chooses are red? Write your answer as a fraction in simplest form.

Answers

Answer:

1:40

Step-by-step explanation:

because there are two red continuous so double the no. of total marbles.

A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is

Answers

Answer: 2.49 s

Step-by-step explanation:

Given

Rock is dropped from a height of [tex]h=100\ ft[/tex]

Using the equation of motion [tex]h=ut+\frac{1}{2}at^2[/tex]

here, [tex]u=0[/tex] (Rock is dropped)

[tex]a=g[/tex]

Putting values

[tex]\Rightarrow 100=0+\dfrac{1}{2}gt^2\\\\\Rightarrow t^2=\dfrac{2h}{g}=\dfrac{2\times 100}{32.2}\\\\\Rightarrow t=\sqrt{6.211}=2.49\ s[/tex]

os there one solution, no solutions, or infinate solutions to 4(4x-3) = 8(2x-2)+4

Answers

Answer:

All real Numbers, which basically ,means infinite solutions

Step-by-step explanation:

100 points
Given log34≈1.262 and log37≈1.771, what is the value of log3(7 / 16)?
Use three decimal places
log3(7 / 16) =

Answers

Answer:

-0.753

Step-by-step explanation:

Given

log₃4 ≈ 1.262 and log₃7 ≈ 1.771

To find

log₃(7/16)

Solution

log₃(7/16) = log₃7 - log₃16 = log₃7 - 2log₃4 =1.771 - 2*1.262 = -0.753

log(a/b)=loga-logb

So

log_3(7/16)log_3(7)-log_3(16)log_3(7)-log_3(4²)log_3(7)-2log_3(4)1.771-2(1.262)-0.753

how many solutions does the function x^2+2x+2=0

a. 0
b. 1
c. 2
d. 3​

Answers

Answer:

A. 0

Step-by-step explanation:

use discriminant. discriminant value is negative so 0 solutions

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