Answer:
bbbb,
bbbg, bbgb, bgbb, gbbb,
bbgg, bgbg, bggb, gbgb, gbbg, ggbb,
bggg, gbgg, ggbg, gggb,
gggg
Step-by-step explanation:
3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg
4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg
You need to take a methodological approach;
The 2 easiest are the possibility of all boys and all girls;
Then consider 3 boys and 1 girl:
bbbg, bbgb, bgbb, gbbb
Then 2 boys and 2 girls:
bbgg, bgbg, bggb, gbgb, gbbg, ggbb
Lastly, 1 boy and 3 girls:
bggg, gbgg, ggbg, gggb
In total, there are 16 possibilities
P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
The last row is relevant here;
There is 1 possibility where there are 4 boys;
There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;
There are 6 possibilities where there are 2 boys and 2 girls
There are 4 possibilities where there is 1 boy and 3 girls;
There is 1 possibility where there are 4 girls;
The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;
If your talking about 3 children, it would match the 4th row of Pascal's triangle;
So, 1 possibility of 3 boys;
3 possibilities of 2 boys and 1 girl;
3 possibilities of 1 boy and 2 girls;
And 1 possibility of 3 girls;
If your talking about 10 children, it would match the 11th row of Pascal's triangle.
(Maths can be so cool XD)
+12<16
Please with steps :)
Answer:
0,1,2,3
Step-by-step explanation:
Calculate the value of 3x³ -2x²- 9x+2 if x= -2
Answer: -12
Step-by-step explanation:
3(-2)^3 - 2(-2)^2 - 9(-2) + 2 = N
3(-8) - 2(4) - 9(-2) + 2 = N
-24 - 8 + 18 + 2 = N
-12 = N
Solve for X - ln (2x-15) = - 3
Answer:
-In(2x-15)=-3
ln(2x-15)=3
2x-15=e^3
2x-15=20
2x=35
x=17.5
F(x)<0 over (- infinity, -3) and what other interval? (-2.4,-1.1)
Answer:
option 4 is the answer to this question
Answer:
D
Step-by-step explanation:
Which choice represents the fraction below as a single exponential expression? (ap3x)
Answer:
d^5
Step-by-step explanation:
d^8 / d^3
We know that a^b / a^c = a^(b-c)
d^(8-3)
d^5
Can someone do the work for me ?
Answer:
ill try
Step-by-step explanation:
HELPP what is the area of this cylinder
Answer:
1,884
Step-by-step explanation:
The formula for solving the area of a right cylinder like this one is:
=2πrh+2πr2
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
Will mark Brainlest please answer. find the value of a,b.
,p,q from the equal order pairs
Step-by-step explanation:
Question-1:by order pair we obtain:
[tex] \displaystyle \begin{cases} \displaystyle 3p = 2p - 1 \dots \dots i\\2q - p = 1 \dots \dots ii\end{cases}[/tex]
cancel 2p from the i equation to get a certain value of p:
[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - p = 1 \end{cases}[/tex]
now substitute the value of p to the second equation:
[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - ( - 1) = 1 \end{cases}[/tex]
simplify parentheses:
[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q + 1= 1 \end{cases}[/tex]
cancel 1 from both sides:
[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q = 0\end{cases}[/tex]
divide both sides by 2:
[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\q = 0\end{cases}[/tex]
question-2:by order pair we obtain:
[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\3y= x + y \dots \dots ii\end{cases}[/tex]
cancel out y from the second equation:
[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\ x = 2y \dots \dots ii\end{cases}[/tex]
substitute the value of x to the first equation:
[tex] \displaystyle \begin{cases} \displaystyle 2.2y-y= 3 \\ x = 2y \end{cases}[/tex]
simplify:
[tex] \displaystyle \begin{cases} \displaystyle 3y= 3 \\ x = 2y \end{cases}[/tex]
divide both sides by 3:
[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2y \end{cases}[/tex]
substitute the value of y to the second equation which yields:
[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2 \end{cases}[/tex]
Question-3:by order pair we obtain;
[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \dots \dots i\\3q + 2p = 3 \dots \dots ii\end{cases}[/tex]
rearrange:
[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \\2p + 3q= 3 \end{cases}[/tex]
subtract and simplify
[tex] \displaystyle \begin{array}{ccc} \displaystyle 2p + q = 2 \\2p + 3q= 3 \\ \hline - 2q = - 1 \\ q = \dfrac{1}{2} \end{array}[/tex]
substitute the value of q to the first equation:
[tex] \displaystyle 2.p+ \frac{1}{2} = 2[/tex]
make q the subject of the equation:
[tex] \displaystyle p = \frac{3}{4} [/tex]
hence,
[tex] \displaystyle q = \frac{1}{2} \\ p = \frac{3}{4} [/tex]
Answer:
see above
............
a rectangular field is 454 times as long as it is wide if the perimeter of the field is 540 yd what are the field dimensions
Answer:
WIDTH= 54yd, LENGTH= 216 yd
Step-by-step explanation:
Length can be denoted as L
Width can be denoted as W
From the question,
(L= 4W) ........... eqn(1)
But perimeter = [(2L + 2W)]........eqn(2)
Substitute eqn(1) into (2)
Perimeter= (8W + 2W) = 10W
From the question,
perimeter= 540 yd
540=10W
W=(540/10)= 54
W= 54 yd
Hence, WIDTH= 54yd
From equation (1) substitute W= 54 yd
(L= 4W)
L= (4×54)
L= 216 yd
Hence, LENGTH= 216 yd
The dimensions are WIDTH= 54yd, LENGTH= 216 yd
the product of 2 numbers, p and q, decreased by 3 times their sum. (as an algebraic expression)
Answer:
3 - (p*q) im not sure lol
Step-by-step explanation:
Find the area of the sector in
terms of pi.
270°
12
Area = [?]
Answer:
[?] = 108
Step-by-step explanation:
[tex]270^\circ[/tex] is 3/4 of a whole revolution: [tex]\frac{270^\circ}{360^\circ}=\frac{3}{4}[/tex] so the area of the sector is 3/4 of the area of the entire circle.
Area of a circle: [tex]A=\pi r^2[/tex]
Area of the sector: [tex]\frac{3}{4} \pi (12^2)=\frac{3}{4}(144)\pi=108\pi[/tex]
Solve the equation for all real solutions.
X^2 + 11z +9 = 5z
Someone help plz ):
Answer:
[tex]z = -3[/tex]
Step-by-step explanation:
Given
[tex]z^2 +11z+9 = 5z[/tex] --- the correct equation
Required
Solve
Equate to 0
[tex]z^2 +11z-5z+9 = 0[/tex]
[tex]z^2 +6z+9 = 0[/tex]
Expand
[tex]z^2 +3z+3z+9 = 0[/tex]
Factorize
[tex]z(z +3)+3(z+3) = 0[/tex]
Factor out z + 3
[tex](z +3)(z+3) = 0[/tex]
Split
[tex]z + 3 =0[/tex] --- twice
[tex]z = -3[/tex]
Find the size of the of angle x.
Answer:
80 degrees
Step-by-step explanation:
Since a triangle is 180 degrees
you then add to 2 degrees given and subtract it from 180
65+35=100
180-100=80 degrees
The data given to the right includes data from 30 candies, and 5 of them are red. The company that makes the candy claims that 32% of its candies are red. Use the sample data to construct a 90% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 32%? Construct a 90% confidence interval estimate of the population percentage of candles that are red. _%
A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 seconds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?
Answer:
27.4 feet down deep
Step-by-step explanation:
28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up
leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea
Answer:
27.4 feet
Step-by-step explanation:
.3 ft per sec for 6 sec = 1.8 feet
.3 ft per sec for 4 sec = 1.2 feet
28 - 1.8 + 1.2 = 27.4
Will has a book that he wants to read that book is 36 chapters long if he reads 3 chapters a day how many days will it take Will to read the whole book?
Answer:
It will take Will 12 days to read the whole book.
Step-by-step explanation:
36 ÷ 3
= 12
:))
36 ➗ 3 = 12
12 days .........
Donte simplified the expression below.
4(1+3i)-(8-5i)
4+3i-8+5i
-4+8i
What mistake did he make?
Answer:
A. He did not apply the distributive property correctly for 4(1+3i)
Step-by-step explanation:
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?
Answer:
24
Step-by-step explanation:
In how many ways can the digits in the number 7,555,111 be arranged?
Answer:
below
Step-by-step explanation:
That's the answer below
7!/(3!2!)
=420
hey yallll
so i need notes on a discussion about how a deaf persons opinions might vary your own, yes this is for asl. so please if you have the time, can yall have a discussion down below abt this topic?
tysm :)
Answer:
When someone is deaf they can’t hear, but they still have the ability to see. I believe the main part of living is being able to see, because even if you can’t hear at least you can see and remember the special moments that have occurred in your life. Of course, there are occasions in which it is necessary to hear, but being able to see is something truly valuable for someone because they are able to discover new things with their ability to see. Or maybe you can’t hear your partner tell you that they love you, but at least they can demonstrate it to you and actions speak louder than words in everything.
Step-by-step explanation:
I hope this helped you out
Nalani says the expression 3 - 8s cannot be factored using the GCF. Is she correct? Explain why or
why not.
Answer:
she is correct because there is not common factor of 3 and 8 so it cannot be factored
Step-by-step explanation:
PLEASE HELP ASAP PLS !!! WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT !!! you’ll get blessed with 10 years of good luck
Answer: Choice C
Perpendicular because the slopes are negative reciprocals of each other.
=======================================================
Explanation:
Use the slope formula to find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-1-(-2))/(4-8)
m = (-1+2)/(4-8)
m = 1/(-4)
m = -1/4
The slope of line AB is -1/4
Repeat those steps for line CD
m = (y2-y1)/(x2-x1)
m = (-9-11)/(-2-3)
m = (-20)/(-5)
m = 4
The slope of line CD is 4
---------
The slopes of AB and CD are -1/4 and 4 respectively.
We can see that the two slopes are negative reciprocals of each other. Meaning that one slope will have us flip the fraction and the sign to form the other slope, and vice versa. Therefore, the two lines are perpendicular.
One useful property is that perpendicular slopes like this multiply to -1
(-1/4)*(4) = -1
---------
Side note: If the slopes were equal, then the lines would be parallel (assuming the two lines have different y intercepts).
Answer:
perpendicular because the slopes are negative reciprocals of each other
Step-by-step explanation:
Vector AB (8-4, -2 - -1) = AB(4, -1)
Vector CD(3- -2, 11- -9) = CD(5, 20)
Dot product of AB.CD = (4,-1).(5,20) = 4*5+(-1)*20 = 20-20 = 0 => perpendicular
explain how to write an equation of a line given the slope and one point on the line
Express 0.02 as a percent.
Answer:
2 Percent or %
Step-by-step explanation:
The decimal 0.02 would be equivalent to 2 percent, or 2 per hundred.
Answer:
0.02 is 2 percent as a percent
For a whole life inurance on (x), you are given the following:
• Z is the present value for the insurance benefits • Benefits are paid at the moment of death
• μ(t)=0.02,t≥0
• δ = 0.08
• bt =e0.03t,t≥0 Calculate Var(Z).
Answer:
chjggjhchhhv
Step-by-step explanation:njbjbkk,
A store donated a percent of every sale to charity The total sales were $9,850 so the store donated $591. What percent of $9,850 was donated?
I need the answer asap!
Answer:
Well, 10% of 6640 is $664, and $332 is half of that, so 5%
Missing: $9850 $591.
Step-by-step explanation:
Answer:
espero ayudarte ..............
Need help on this one problem plz!
what is 2.8436 rounded to the nearest thousandth?
Answer:
2.844
Step-by-step explanation:
2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!
Answer:
2.84
Step-by-step explanation:
2.8436 is rounded to the nearest thousands we get 2.84
Rewrite the quadratic equation in the form y= a(x - h)2 + k.
y = 5x2 – 30.3 + 95
Y= ?
The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months
(Please help. I need this)
Answer:
Input - Output
2 - $290
12 - $690
24 - $1170
Step-by-step explanation:
Cost after n months:
The cost after n months is given by the following function:
[tex]C(n) = 40n + 210[/tex]
After 2 months:
This is C(2). So
[tex]C(2) = 40(2) + 210 = 80 + 210 = 290[/tex]
After 12 months:
This is C(12). So
[tex]C(12) = 40(12) + 210 = 480 + 210 = 690[/tex]
After 24 months:
This is C(24). So
[tex]C(24) = 40(24) + 210 = 960 + 210 = 1170[/tex]
Table:
Input - Output
2 - $290
12 - $690
24 - $1170