Grace wants to find the probability of a family of 3 children having 2 boys and 1 girl. Use a tree diagram to list the possibilities and state the probability of 2 boys and 1 girl.
A) 3/8
B) 2/3
C) 5/8
D) 1/2

Answers

Answer 1

Answer:

Step-by-step explanation:

My approach was to draw out the probabilities, since we have 3 children, and we are looking for 2 boys and 1 girl, the probabilities can be Boy-Boy-Girl, Boy-Girl-Boy, and Girl-Boy-Boy. So a 2/3 chance if you think about it, your answer 2/3 can't be correct. If we assume that boys and girls are born with equal probability, then the probability to have two girls (and one boy) should be the same as the probability to have two boys and one girl. So you would have two cases with probability 2/3, giving an impossible 4/3 probability for both cases. Also, your list "Boy-Boy-Girl, Boy-Girl-Boy, and Girl-Boy-Boy" seems strange. All of those are 2 boys and 1 girl, so based on that list, you should get a 100 percent chance. But what about Boy-Girl-Girl, or Girl-Girl-Girl? You get 2/3 if you assume that adjacencies in the (ordered) list are important, i.e., "2 boys and a girl" means that the girl was not born between the boys.


Related Questions

What is the value of y rounded to the nearest 10th

Answers

Answer:

8/13

Step-by-step explanation:

I think am not sure...

Answer:

y ≈ 46.2

Step-by-step explanation:

using the law of sines , then

[tex]\frac{y}{sin85}[/tex] = [tex]\frac{31}{sin42}[/tex] ( cross- multiply )

y × sin42° = 31 × sin85° ( divide both sides by sin42° )

y = [tex]\frac{31sin85}{sin42}[/tex] ≈ 46.2 ( to the nearest tenth )

A squared garden has area 1764 m². Find its length and perimeter. ​

Answers

Answer:

We know that,

Area of Square = ( Side )²

Given:

Area of Squared garden is 1764 m².

To Find:

It's Length & Perimeter

➛ Side = √1764

➛ Side = 42

Thus, Side of Squared garden is 42cm.

We know,

Perimeter of Square = 4 × Side

Given:

Side is 42 cm.

➛ Perimeter = 4 × 42

➛ Perimeter = 168

Thus, Perimeter of Squared garden is 168cm.

A bag contains 6 white marbles and 4 black
marbles. A marble is drawn from the bag
and then a second marble is drawn without
replacing the first one.
What is the probability of drawing a white
marble on the first draw, followed by a black
marble on the second?

Answers

Answer:

4/15

Step-by-step explanation:

P(drawing white marble and black marble)

= 6/10 × 4/9 [9 as there is no replacement]

= 4/15

HELLPP 50 points!! its due soon!!!!!

Answers

One two and six are the answers. Range cannot have two or more same number domain to be a function. One range on e domain

HELP ME OUT HERE! PLS TELL ME HOW U GOT THE ANSWER TOO!

Answers

Answer: Choice C

[tex]\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}0 & 1\\\cline{1-2}2 & 2\\\cline{1-2}4 & 3\\\cline{1-2}6 & 4\\\cline{1-2}\end{array}[/tex]

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

Explanation:

There are four marked points on the line.

Each point is of the form (x,y)

The first or left most point is (0,1) The second point is (2,2)The third is (4,3)The fourth is (6,4)

Each of these points is then listed in the table format as shown above.

There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).

Extra side notes:

The slope of this line is m = 1/2 = 0.5The y intercept is 1 located at (0,1) The equation of this line is y = 0.5x+1

Answer:

the anwser is c

Step-by-step explanation:

trust me

A hotel builds an isosceles trapezoidal pool for children. it orders a tarp to cover the pool when not in use. what is the area of the tarp?
to find the height. first find that d is 60,45,or 120. this means the height of the trapezoid is approximately 2.5,4.3,or 3.5 feet. so the area of the tarp is approximately 47.3,30.0 or 38.5 square feet.

Answers

The area of the trapezoidal tarp in the hotel is 47.3 square inches

How to determine the area of the tarp?

The area of a trapezoid is calculated using:

Area = 0.5 * (Sum of parallel sides) * Height

From the complete question, the parallel sides are:

10 ft and 12 ft

So, we have:

Area = 0.5 * (10 +  12) * h

Evaluate

Area = 11 * h

The height (h) is calculated using the following cosine function

cos(120 - 90) = h/5

This gives

cos(30) = h/5

Make h the subject

h = 5cos(30)

Evaluate

h = 4.3

So, we have:

Area = 11 * 4.3

Evaluate

Area = 47.3

Hence, the area of the trapezoid is 47.3 square inches

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Answer: To find the height, first find that <D is 120.

This means the height of the trapezoid is approximately 4.3 feet.

So, the area of the tarp is approximately 47.3 square feet.

Step-by-step explanation: correct on edmentum/plato

please help me find the area of compound shapes?!?!

Answers

Answer:

Your answer will be 38cm...

show 2/5 65 and 3/8 on the number line below

Answers

2/5 is on the 4th tic mark, 65% is dead cent of the 6th and 7th tic mark, and 3/8 is most the way towards the 4th tic mark

What is the area of the shaded region?

Answers

Answer:

461.81

Step-by-step explanation:

your welcome

Helppppppppp I’m struggling

Answers

Answer:

ok what must you do

Step-by-step explanation:

Consider this system of equations.



p=2np=2np=2n

p−5=1.5np−5=1.5np−5=1.5n



What value of nnn makes the system of equations true?

Answers

The values of n and p which makes the system of equations true are 10 and 20 respectively.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have system of equation:

p=2n  and

p−5=1.5n

Put p = 2n in the other equation.

2n - 5 = 1.5n

2n = 1.5n +5    (add 5 on both sides)

0.5n = 5           (subtract 1.5n on both sides)

n = 10              (divide by 0.5 on both sides)

Put n = 10 in the equation p = 2n

p = 2(10) = 20

Thus, the values of n and p which makes the system of equations true are 10 and 20 respectively.

Learn more about the linear equation here:

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in the circle, an arc length 8pi cm is intercepted by acentral angle of 2pi/3 radians. what is the radius of the circle

Answers

Answer:

radius = 12 cm

Step-by-step explanation:

al - Arc Length

[tex] \alpha \: - Central \: Angle ( in \: \: radians)[/tex]

r - Radius

[tex]al \: = 8\pi \: cm[/tex]

[tex] \alpha \: = \frac{2\pi}{3} [/tex]

[tex]al \: = \alpha \times r[/tex]

[tex]r \: = \frac{al}{ \alpha } [/tex]

[tex]r = \frac{8\pi}{( \frac{2\pi}{3} )} [/tex]

[tex]r = 12 \: cm[/tex]

Math question please help

Answers

Answer:

Step-by-step explanation:

Remark

There are 6 faces on a cube.

Each face has an area of s^2

s = 5

One face is s^2

One face is 5^2 = 25 cm^2

6 faces are 6*25 cm^2

6 faces are 150 cm^2

Answer

150 cm^2

You start at (8, 3). You move right 1 unit and down 3 units. Where do you end?

Answers

Answer:

(9,0)

Step-by-step explanation:

8 + 1 = 9

3 - 3 = 0

(9,0)

Which sum or difference is modeled by the algebra tiles?

Answers

Answer: I believe the answer is D.

Step-by-step explanation:

Jackson cut a pentagon out of poster board to make sign for his door. The perimeter of the sign is 30 inches and each side of the sign has the same length. What is the length of each side of the sign?

Answers

Answer:

6 inches

Step-by-step explanation:

If the perimeter of the whole pentagonal sign is 30 inches, each side must be 6 inches. Why? A pentagon has 5 sides, and each side is equivalent. 30/5=6.

Would appreciate if you marked my answer as brainliest, have a good day :)

An equation of a circle is x^2 - 8x + 16 +y^2 + 10y + 25 = 81

What is the radius of the circle?

What is the center of the circle?

Answers

Answer:

the radius: r = 9the center: (4, -5)

Step-by-step explanation:

The equation of a circle:

(x - a)² + (y - b)² = r²

(a, b) - the center of a circle

r - the radius of a circle

x² - 8x + 16 + y² + 10y + 25 = 81

(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81

use: (a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²

(x - 4)² + (y + 5)² = 9²

Therefore

the radius: r = 9

the center: (4, -5)

The radius is 9 and the center of the circle  (4, -5)

What is the center of a circle?

A circle's center is a point throughout the circle that is equally spaced from every other point on the circumference. The line of refraction symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry surrounding the centre.

The equation of a circle:

(x - a)² + (y - b)² = r²

The center of a circle will be (a, b)

The radius of a circle will be r

x² - 8x + 16 + y² + 10y + 25 = 81

Solving the above equation on the basis of the Equation of a circle.

(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81

Using the identity in the above-given equation.

(a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²

(x - 4)² + (y + 5)² = 9²

The center of the circle will be at coordinates 4 and 5. And the radius of the circle derived is 9.

Learn more about the center of a circle, here

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Question 1 (Essay Worth 10 points)
(4.01 MC)

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.

Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)

Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

Answers

The linear equations of the candles are y = 0.5x + 8 and y = 0.4x + 8. And both relationships are the function.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A candle burns down at the rate of 0.5 inches per hour.

The original height of the candle was 8 inches.

Let y be the height of the candle and x be the number of hours.

Then the linear equation will be given as

[tex]\rm y = mx + c[/tex]

where m is the rate and c is the initial value. Then the linear equation of the candle will be

y = -0.5 x + 8

The function is a linear function.

If the value of m is replaced by 0.4. Then the linear equation will be

y = 0.4x + 8

And this will also be a linear function.

More about the linear system link is given below.

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There are 10 players on the swim team. How many ways can the coach select 3 people to swim in the relay?

A. 1,080
B. 960
C. 720
D. 120

Answers

Answer:

C. 720

Step-by-step explanation:

10 - 3 is 8 so you multiply all the numbers from 10 through 8

10 * 9 * 8 = 720

That is the answer. Hope it helped!

Answer:

C: 720

Step-by-step explanation:

i got 100% on the quiz

help asap check picture

Answers

81 wildebeest passed the biologist in the first 20 minutes.

What are your guys favorite marsupials?

Answers

Answer:

koalas

Step - by - step explanation:

because they're so cute and cuddly

AYUDA LA NECESITO RAPIDO AHHHH

Answers

Answer:

y=7(3)= 21

y=7(8)= 56

y=7(10)= 70

Step-by-step explanation:

Answer:

X     Y

3     21

8     56

10    70

Step-by-step explanation:

Find Y by plugging in each X value to the given function.

Encuentre Y reemplazando cada valor de X en la función dada.

When x = 3 : y = 7 * 3 = 21

Cuando x = 3 : y = 7 * 3 = 21

When x = 8 : y = 7 * 8 = 56

Cuando x = 8 : y = 7 * 8 = 56

When x = 10 : y = 7 * 10 = 70

Cuando x = 10 : y = 7 * 10 = 70

Lusia wants to buy sulu. If she buys 7 meters,She is 1 dollar short. If she buys 5 meters, 5 dollar is left over . How much does she have ?

Answers

Answer:

$20

Step-by-step explanation:

let 1 meter of sulu = s, lusia has m dollar

7s = m + 1 => m = 7s - 1

5s = m - 5

5s = 7s - 1 - 5

2s = 6

s = 3

m = 7s - 1 = 21 - 1 = 20

Find the derivative of f(x) = 7x + 9 at x = 6. (6 points)

Answers

Answer: f(x) = 7x x•9^(x-1)

An opened a sevings account with $300 and was paid simple interest at an annual rate of 5%. When Ann closed the account, she
was paid 75 in interest. How long was the account open for, in years?

Answers

Answer:

it would have took 15 years

pls answer asap, thanks!!! (will mark brainliest)

Answers

Step-by-step explanation:

s = top speed

p = horsepower

s = 27.3 × p^(1/6)

the exponent 1/6 means the 6th root of p.

17.

s = 27.3 × 70^(1/6) = 27.3 × 2.030094899... =

= 55.42159075... knots

18.

50 = 27.3 × p^(1/6)

50⁶ = 27.3⁶ × p

p = 50⁶/27.3⁶ = (50/27.3)⁶ = (1.831501832...)⁶ =

= 37.74367151... horsepower

SOLVE ALL THESE EQUATION BY USING THE METHOD SUBSTITUTION ALGEBRAICALLY HERE'S ARE ALL THE EQUATION:
1. -7x - y = - 1/ y = 8x= 16
2. 3x +4y =0/ y=-3x -18
3. y = 3x/ -5x -2y = - 11
4. -8x -7y =0/ y = 6x
8. 2x- 6y = -14/ y=-5x -19

Answers

Answer:

See below ~

Step-by-step explanation:

Question 1

-7x - y = -1y = 8x + 16

⇒ -7x - (8x + 16) = -1

⇒ -7x - 8x - 16 = -1

⇒ -15x = 15

⇒ x = -1

⇒ y = 8(-1) + 16 = 8

Solution = (-1, 8)

Question 2

3x + 4y = 0y = -3x - 18

⇒ 3x + 4(-3x - 18) = 0

⇒ 3x - 12x - 72 = 0

⇒ -9x = 72

⇒ x = -8

⇒ y = -3(-8) - 18 = 6

Solution = (-8, 6)

Question 3 (not clear)

Question 4

-8x - 7y = 0y = 6x

⇒ -8x - 7(6x) = 0

⇒ -8x - 42x = 0

⇒ -50x = 0

⇒ x = 0

⇒ y = 6(0) = 0

Solution = (0, 0)

Question 8

2x - 6y = -14y = -5x - 19

⇒ 2x - 6(-5x - 19) = -14

⇒ 2x + 30x + 114 = -14

⇒ 32x = -128

⇒ x = -4

⇒ y = -5(-4) - 19 = 1

Solution = (-4, 1)

The exterior angle of a certain regular polygon is 60°. How many sides does the polygon have?.

Answers

Answer:  6

Work Shown:

E = exterior angle = 60 degrees

n = number of sides of the regular polygon

n = 360/E

n = 360/60

n = 6

The regular polygon has 6 sides.

Find the minimum distance between the point (-5,1) and the line x = -2​

Answers

Answer:

3

Step-by-step explanation:

The minimum distance would be when there would be a horizontal line connecting the point (-5,1) with the line x=-2. So there would be a line from (-5,1) to (-2,1) which would be a straight line of 3 since -2 +5 = 3.

Lin solved a quadratic equation by factoring and found one solution to be x = 3/4. Which of the following expressions could have been one of her factors?

Answers

Answer: 4x-3

Step-by-step explanation: When subsituted, the equation should equal 0

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