Answer:
g/(b + g)
Step-by-step explanation:
We are told the group of individuals contain b number of boys and g number of girls.
Now the number of ways of selecting 1 girl out of g number of girls is;
gC1 = g!/(g - 1)! = (g × (g - 1)!)/(g - 1)!
(g - 1)! will cancel out to give;
gC1 = g
Now, since total number of boys and girls is b + g, and we have chosen one girl out, the remaining number of people will be; b + g - 1.
Thus, number of ways to arrange the remaining people will be;
(b + g - 1)!
Now, the probability that the person in the ith position (1 ≤ I ≤ b+g) is a girl will be;
(gC1 × (b + g - 1)!)/(b + g)!
We know that gC1 = g from earlier derivation.
Expanding this gives;
[g(b + g - 1) × (b + g - 2)!]/[(b + g) × (b + g - 1) × (b + g - 2)!]
(b + g - 1) × (b + g - 2)! will cancel out to give;
g/(b + g)
A pair of Air Jordan's are on sale for 25% off the original
price. The original cost was $80. How much money would
you save if you bought them?
Answer:
$20
Step-by-step explanation:
Because 25% of 80 is 20 so that is the amount you would save.
Have a great day!
Equa
Problem 1
3z - 4 = 52 - 12
Answer:
z=44/3
Step-by-step
Subtract the numbers 52-12=40
3z-4=40
Add 4 to both sides
3z-4+4=40+4
SImplify
3z=44
Divide both sides by 3
3z/3 = 44/3
z=44/3 or decimal form= 14.66
Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 32?
Answer:
g(x)=m(x−2)+b+3
PLEASE HELP ME QUICK!!A train moves at a constant speed of 8 miles every 6 minutes. Fill in the table below to show how far the train travels according to different
amounts of time.
Answer:
1. 4
2. 20
3. 80
Step-by-step explanation:
Fill in the blank to make the fractions equivalent 9/12 = ?/4
Answer:3/4
Step-by-step explanation:
9/12/3=3/4
Answer:
x=3 cause you just divide both 9 and 12 by 3
Step-by-step explanation:
Have a good day!
There are 20 cities in the County of Newton. Their populations are shown in the bar chart below. The average population of all the cities is indicated by the horizontal dashed line. Which of the following is closest to the total population of all 20 cities?
Answer:
The answer is C/85,000
Step-by-step explanation:
The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?
Answer:
Step-by-step explanation:Let our two numbers be a and b . Then we can see that a+b=8 and ab=15 . Now consider
(a+b)3=a3+3a2b+3ab2+b3 by the binomial expansion. Now we have all the information to solve this, observe since a+b=8 and ab=15 . We have
(8)3=a3+3ab(a)+3ab(b)+b3
a3+b3+3ab(a)+3ab(b)=83
a3+b3+3ab(a+b)=83
a3+b3=83−3ab(a+b)
a3+b3=83−3(15)(8)=512−360=152
You can also observe that 3 and 5 fulfill those conditions so, then 33+53=27+125=152 . Which is our result.
What is the value of x?
6.7578x=13
276
175
18
53
O
Answer:
Step-by-step explanation:
6.7578 *x = 13 divide both sides by 6.7578
[tex]\frac{6.7578}{6.7578} *x = \frac{13}{6.7578}[/tex]
x= 1.923
point
Daniel can mow lawns at a constant rate of 3/5 lawns/hour.
How many lawns can Daniel mow in 10 hours?
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~
Ob
Daniel can mow 6 lawns in 10 hours.
Daniel can mow 3 lawns in 10 hours,
Daniel can mow 5 lawns in 10 hours.
Answer:
6 lawns
Step-by-step explanation:
In one hour, Daniel can mow 3/5 lawns
therefore, in 10hours Daniel can mow 3/5 x 10 lawns = 6 lawns
Topic: Rates and proportions
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
A firm producing poultry feeds finds that the total cost C(x) in dollars of producing and selling x units is given by
C(x) - 20x+100. Management plans to charge $24 per unit for the feed. How many units must be sold for the firm to break even?
Answer:
Break-even point in units= 25
Step-by-step explanation:
Giving the following information:
Fixed cost= $100
Unitary variable cost= $20
Selling price per unit= $24
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 100 / (24 - 20)
Break-even point in units= 25
help fast thank you ;)
Answer:
I believe the answer is C. Rotation
Step-by-step explanation:
I used google to look up a example for each answer and this image looks to be a Rotation
1. Lin runs 2 miles in 2/5 for an hour, Tyler runs 8 2/4 miles in 4/3 of an hour. How long
does it take each of them to run 10 miles at that rate?
Which equation represents a line that is parallel to the line whose equation is y=-3x?
A) 4x+2y=5
B) 2x+4y=1
C) y=3-4x
D) y=4x-2
What is the slope of(20, 8) (19, 10)
Answer:
-2
Step-by-step explanation:
8-10 = -2
20-19 = 1
-2/1 = -2
Answer:
-2
Step-by-step explanation:
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex] Where y2 is 8 and x2 is 20 and y1 is 10 and x1 is 19
So 8 - 10 = -2
And 20 - 19 = 1
-2 divided by 1
It is -2.
HOPE THIS HELPED
In this diagram, which equation could you prove to be true in
order to conclude that the lines are parallel?
(0, b)
= 1
(a, 0)
(0, 0)
(0, 0)
||
1
1
2
الله
I will give brainliest.........................Please explain please..........................
======================================================
Explanation:
Plug x = 80 into the equation to get
y = 0.12x
y = 0.12*80
y = 9.60
This means the store paid $9.60 for the rope. This amount of money is leaving the store owner's wallet or bank account. We'll keep this in mind for later.
-------------------
The graph shows the equation y = 0.20x
Note how the point (1, 0.20) is on the line to help see the slope right away. This trick only works when the line goes through the origin.
You could also use the slope formula to get this. The y intercept is 0 since the line goes through the origin.
This equation and graph show that the price per foot is $0.20, or it's 20 cents per foot.
Plug in x = 80 to find how much the store will make in revenue
y = 0.20x
y = 0.20*80
y = 16
The store makes $16 in revenue when it sells 80 ft of rope.
----------------------
The cost to the store was $9.60 found in the first section. The revenue was $16 found in section 2.
So,
profit = revenue - cost
profit = 16 - 9.60
profit = 6.40 dollars
Johnny took a math test with 25 questions He answered 22 questions correctly in order to get an a he had to get 90% of them right. How many questions would he need to get right in order to get an A
Answer:
no its a 88 percent
Step-by-step explanation:
simple math
Answer:
90% of 25 = 22.5
Step-by-step explanation:
Factorize 27p²x²-48y²
Answer:
3(3px + 4y)(3px - 4y)
Step-by-step Explanation:
This is the answer because:
1) We can factor using the difference of squares formula.
2) a^2 − b^2 = (a + b) (a − b) where a = 3px and b = 4y .
Hope this helps!
a pice of land was sold for rs. 1,20,000 a broker who recived 1.5% of commision. THe broker gets amount of Rs.____
Answer:
If you meant rs.1,200,000 then the answer would be rs.18,000
If you meant rs.120,000 then the answer would be rs.1,800
Step-by-step explanation:
Please mark B R A I N L I E S T
A biking track has a length of 3168 feet (ft). How long is this in miles (mi)?
First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
Answer:
0.6 miles
Step-by-step explanation:
Given that,
A biking track has a length of 3168 feet (ft).
We need to find the distance in miles.
We know that, 1 mile = 5280 foot
1 feet = (1/5280) mile
Now, we can find the distance in miles by multiplying 3168 by (1/5280).
[tex]d=3168 \times \dfrac{1}{5280}\\\\=0.6\ \text{miles}[/tex]
So, the distance covered is 0.6 miles.
Write the equation of a line with an x-intercept of 4 and a y-intercept of -3.
Answer:
y = [tex]\frac{3}{4}[/tex] x - 3
Step-by-step explanation:
Coordinates of x-intercept are (x, 0)
Coordinates of y-intercept are (0, y)
(0, - 3)
(4, 0)
Slope m = [tex]\frac{3}{4}[/tex]
y = [tex]\frac{3}{4}[/tex] x - 3
y = [tex]\frac{3}{4}[/tex] ( - 4) - 3 = - 6
(- 4, - 6)
y = [tex]\frac{3}{4}[/tex] ( - 16) - 3 = - 15
(- 16, - 15)
12 = [tex]\frac{3}{4}[/tex] x - 3
[tex]\frac{3}{4}[/tex] x = 15
x = 20
(20, 12)
Now that you have described several mappings, consider a more general example. Suppose you are given two shapes and you must show that they are congruent using transformations. If the orientation of these two shapes is the same, which type(s) of transformations should you use to show that they are congruent? Why?
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Please help :( I’m having troubles answering this problem
Answer:
2x+1
Step-by-step explanation:
3
2
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16
-5
4
1 2
3
4
5 6
3 -2 -1
11
-5
-6
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sin - cos - tan-
+ - X + / +
log-e? 10
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10n
Show less
Answer:
The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
Step-by-step explanation:
We need to calculate the gradient of the graph
The gradient of graph is actually slope of the graph.
The slope of graph can be calculated using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Taking any 2 points on graph i.e
(1,0) and (-1,-3)
We have [tex]x_1=1, y_1=0, x_2=-1,y_2=-3[/tex]
Putting values and finding gradient:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}[/tex]
So, The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
The diagram compares the ratio of girls in the chorus to boys in the chorus what is the ratio of girls to boys if there are 40 students in the chorus how many are girls and how many are boys
PLEASE HELP ME PLEASE
Which inequality is true?
A. 1/2 < 1/3
B. 3/4 > 2/3
C. -1/4 < - 2/3
D. -1 > 3/4
Answer:
Option B. 3/4 > 2/3 is the correct answer.
Step-by-step explanation:
Lets look at the options one by one
A. 1/2 < 1/3
This inequality converts into 0.5<0.33 which is false.
B. 3/4 > 2/3
This simplifies to 0.75>0.666 which is true.
C. -1/4 < - 2/3
This converts to -0.25<-0.666 which makes the inequality false.
D. -1 > 3/4
This converts to -1>0.75 which makes the inequality false.
Hence,
Option B. 3/4 > 2/3 is the correct answer.
Answer:
Option C. -1/4 < - 2/3 is the correct answer.
-1/4 equals -3/12
-2/3 equals -8/12
So, it is -2/3 is greater
What is the value of xy/z when x/z= 6/2 and 1/y= 1/15
Answer:
45
Step-by-step explanation:
(x*y)/z
(x/z) *Y
Y is the inverse of 1/y which is 15
(6/2) * 15
3*15
45
If (a,-7) is the solution to the equation 8a=-3b-5, what is a?
Si el numero promedio de solicitudes de viaje por crucero que recibe una agencia de viajes es una variable
aleatoria con lamda 2.5, determine las probabilidades de que en cualquier día la agencia reciba:
a.- Ninguna solicitud de viaje
b.- cuando menos una
Answer:
um yes.
Step-by-step explanation:
work out the value of 7^4
Answer:
2401
Step-by-step explanation:
7^4
7 • 7 • 7 • 7
49 • 49
2401
Answer:
2401
Step-by-step explanation:
Pretty sure this is the answer. Have a good day!