What is the theoretical probability for a family with three children for two girls and a boy

Answer:

[tex]\frac{5}{36}[/tex]

Step-by-step explanation:

There are [tex]6^2=36[/tex] non-distinct sums that can be achieved when rolling two fair sided dice.

The smallest of these sums is [tex]1+1=2[/tex] and the largest of these sums is [tex]6+6=12[/tex]. Within this range, there exists only one perfect cube, [tex]2^3=8[/tex].

Count how many ways we can achieve a sum of 8 with two dice:

[tex]\begin{cases}2+6=8,\\6+2=8,\\3+5=8, \\5+3=8,\\4+4=8\end{cases}\\\\\implies \text{5 ways}[/tex]

Thus the probability the total score (sum) will be a perfect cube when rolling two fair six-sided dice is equal to [tex]\boxed{5/36}[/tex]

Hi there!

[tex]\large\boxed{\text{Gradient = -1}}[/tex]

We can find the slope using the slope formula:

Slope = (y2-y1)/(x2-x1)

Plug in the given coordinates:

Slope = (1 - 5)/(7 - 3)

Simplify:

Slope = -4/4

Slope = -1

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

start by squaring both sides:

[tex](\sqrt{-8+3x} )^2=(2)^2[/tex]

squaring a square root cancels it out:

[tex]-8+3x = 4[/tex]

solve for x by first adding 8 to both sides:

[tex]3x=12[/tex]

then divide both sides by 3:

[tex]x=4\\[/tex]

Answer:

1/3+(-1)

Step-by-step explanation:

Answer:

-168

Step-by-step explanation:

because  f(x) = 8 - 10xg(x) = 5x + 4

(fg)(x) = (8 - 10x)(5x + 4)(fg)(x) = 40x + 32 - 50x^2 - 40x(fg)(x) = 32 - 50x^2

(fg)(-2) = 32 - 50(-2)^2(fg)(-2) = 32 - 200(fg)(-2) = -168

Answer:

12 additional sticks of butter

Step-by-step explanation:

First, create an equation. Let y represent the number of additional sticks of butter needed, and let x represent the number of cakes made.

y = [tex]\frac{x}{2}[/tex] will be the equation.

Since she has already baked 17 cakes, she will need to bake 24 more cakes to make 41 cakes.

Plug in 24 as x into the equation, and solve for y:

y = [tex]\frac{x}{2}[/tex]

y = [tex]\frac{24}{2}[/tex]

y = 12

So, she will need 12 additional sticks of butter

Answer:

11

Step-by-step explanation:

The square root of 121 is 11. Remember 11 to the power of 2

Answer:

Step-by-step explanation:

If you move down 1 unit, you simply subtract 9 units from the given equation.

g(x) = 4x^2 - 16 - 1

g(x) = 4x^2 - 17

Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.

The wrong way to do it is in answer A.

B is the correct answer

h(x) = 4(x - 9)^2 - 17

Answer:

10:05

Step-by-step explanation:

10:05

7:40+2 hours =9:40+25=10:05

Answer:

8.04672

or 8

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:

13.3 US$

Step-by-step explanation:

How to find it

Written using the formula: x = 66.50 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 66.50 ÷ 0.2.

So 20% of 66.60 is 13.3.

Answer:

0

Step-by-step explanation:

because the carrot is wrong

Answer:

Assuming you are using the zero product property, x = 2, √(3), -√(3)

Step-by-step explanation:

first I factored the (2x^2-7+1) into 2(x^2 - 3)

I also factored the (3x-6) into 3(x - 2)

Now I have the equation 6(x - 2)(x^2 - 3) = 0

I'll start with the easiest one, which is x - 2 = 0, which gives me 2

Now I solve for x^2 - 3 = 0, and I end up with two answers:

√(3) and -√(3)

So in total, x as 3 answers

Answer:

188.52cm^2

Step-by-step explanation:

Given data

Height= 7cm

Radius= 3cm

The expression for the surface area of a cylinder is given as

Surface area=  2πr (h + r)

Surface area= 2*π*3 (7 + 3)

Surface area = 6π (10)

Surface area= 60*3.142

Surface area= 188.52cm^2

Hence the surface area is 188.52cm^2

Answer:

A

Step-by-step explanation:

answer is in above photo

Answer:

The answer is25th August

Answer:

Charlene claim is true.

Step-by-step explanation:

Max claims that a point on any line that is perpendicular to a segment is equidistant from a segment's endpoints.

It is not necessary as  shown in the diagram (a).

Charlene claims that the line must be a perpendicular bisector for a point on the line to be equidistant from a segment's endpoints.

It is true as shown in the diagram (b).

So, Charlene claim is true.

Answer:

16

Step-by-step explanation:

mark it as the Brainliest

Answer:

C

Step-by-step explanation:

Have a nice day

Answer:

C. 2[(b + 3) + b] = 26, which has one solution

Step-by-step explanation:

Please brainliest and dont forget to say thanks :)

Answer:

x=40

Y= 35

Angle AEC= 55

Step-by-step explanation:

Answer:

[tex]x = 40 \\y = 35 \\\angle AEC = 55^\circ[/tex]

Step-by-step explanation:

Find x :

[tex]( 3x + 5)^{\circ} + ( x +15)^{ \circ} = 180 ^{\circ}[/tex]                    [tex][ \ straight \ line \ angles \ ][/tex]

[tex]3x + 5 + x + 15 = 180\\\\4x + 20 = 180 \\\\4x = 160 \\\\x = 40[/tex]

[tex]\angle AED \ = 3x + 5 = 125 ^{ \circ}[/tex]

[tex]\angle DEB = (x + 15 ) = 40 + 15 = 55^{ \circ}[/tex]

Find y :

[tex]( y + 20)^{ \circ} + (4y - 15)^{ \circ} = 180^{\circ}\\\\y + 20 + 4y - 15 = 180\\\\5y + 5 = 180\\\\5y = 175\\\\y = 35[/tex]

[tex]\angle AEC = ( y + 20 ) = 35 + 20 = 55^\circ\\\\\angle BEC = (4y - 15) = 4(35) -15 = 140 - 15 = 125^\circ[/tex]

Answer:

2/5 or 40% read three books

Step-by-step explanation:

Since 3 out of 5 people read four or more books then the remnaining 2/5 people read three books

Answer:

x=8

Step-by-step explanation:

xyz=256​

x=y=2z

Replace y with x and z with x/2

x * (x) *(x/2) =256

x^3 /2 = 256

x^3 = 512

Take the cubed root of each side

(x^3) ^(1/3) = (512) ^ (1/3)

x=8

Answer:

r = 6cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

36 pi = pi r^2

Divide each side by pi

36 pi/pi = pi r^2/ pi

36 = r^2

Take the square root of each side

sqrt(36) = sqrt(r^2)

6 =r

The radius is 6 cm

r = 6cm

Answer:

radius, r = 6cm

Step-by-step explanation:

[tex]Area = 36 \pi \\\\\pi r^2 = 36 \pi\\r^2 = 36\\r = \sqrt{36} = 6 \ cm[/tex]

Answer:  .50x+15=25  

I hope this helps.

Answer:

1

Step-by-step explanation:

The mode is the number that appears most often

1 appears twice in the data list and that is the mode

Answer:

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Answer:

300cm

Step-by-step explanation:

to get the area of a rectangle, all you have to do is (bh) or base * height. in this case, the base is 20cm and the height is 15cm. once you multiply the two lengths you will get 300 meaning that the area of this rectangle is 300 cm.

The required area of a rectangle is 300 square cm which is given in the figure.

The area of a rectangle is defined as the multiplication of the length and width.

The area of a rectangle = L ×  W

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given a rectangle that has :

The length of the side = 20 cm

The width of the side = 15 cm

The area of a rectangle = The length of the side × The width of the side

The area of a rectangle = 20 cm × 15 cm

Apply the multiplication operation,

The area of a rectangle = 300 square cm

Therefore, the required area of a rectangle is 300 square cm.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

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Answer:

sorry i wasnt gonna type it out. im on phone