The number of collections of 7 books can you take is 1685.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
Total books= 15
n = 15 (the number of possible books) and r = 7 (the number of books to be taken).
Now,
To find the number of different collections of 7 books, we can use the formula for combinations. Combinations are ways of selecting items from a collection, such that the order of selection does not matter.
The formula for combinations is:
nCr = n! / (r! (n - r)!)
where n is the number of items in the collection, r is the number of items to be selected, and ! is the factorial operator.
We can plug these values into the formula:
15C7 = 15! / (7! (15 - 7)!)
= 15! / (7! 8!)
= (15 x 14 x 13 x 12 x 11 x 10 x 9 x 8!) / (7! 8!)
= (15 x 14 x 13 x 12 x 11 x 10 x 9) / (7 x 6 x 5 x 4 x 3 x 2 x 1)
= (6435 x 1320) / (5040)
= 8491770 / 5040
= 1685.25
Since we cannot have a fraction of a collection, we round down to get the final answer:
15C7 = 1685
Therefor, by algebra the answer will be 1685.
More about the Algebra link is given below.
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Zach filled 581 one-liter bottles with apple cider. He distributed the bottles to 4 stores. Each store received the same number of bottles. How many liter bottles did each of the stores receive? Were there any bottles left over?
a. 145 liter bottles (There were 2 bottles remaining)
b. 142 liter bottles (There were 2 bottles remaining)
c. 145 liter bottles (There was 1 bottle remaining)
Answer:
a. 145 liter bottles (There were 2 bottles remaining)
Step-by-step explanation:
From this question, the total number of bottles that Zach had to fill with apple cider is 581.
He has to distribute these bottles to 4 stores after filling
The question says each store received same number of bottles.
To get the number of bottles received by each store, we divide 581 by 4
= 581 / 4
= 145.25
Therefore each store gets 145 bottles each and there would be a remainder of 2 bottles
I really need help please asap
Answer:
[tex]\sqrt{8 m^{6} n^{3}}[/tex]
Step-by-step explanation:
The volume of one of the buildings in the downtown area is 589,824 cubic meters. The building is 8 times as tall as the radio tower on top of the building. The square base has a side that is 24 times 4 meters less than the height of the radio tower. How tall is the radio tower?
Answer:
10.2
Step-by-step explanation:
72 marble and 75% are red
James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is shared between James and Dan in the ratio of 2:3. In 1996 the profit was $ 20000. Show that Dan’s share was $3000.
Answer:
total20000
bonus15000
remaining 20000-15000=5000
ratio 2+3=5x
Dan part =3x
Dan value=( 5000/5)*3=3000
Step-by-step explanation:
Scenario: Does the age at which babies learn to crawl depend on the time of the year that the babies were born? Data were collected from parents who brought their babies into the University of Denver’s Infant Study Center to participate in one of a number of experiments between 1988 and 1991. Parents reported the birth month and the age in which their child first began to crawl. The resulting data were grouped by month of birth: January, May, and September.
The age for when babies learn to crawl is different for Januar,May, and September.. so I guess yes?
EASY QUESTION FOR 20 POINTS!!!
If the motion of an object increased, which type of mechanical energy was gained by the object?
Group of answer choices-
chemical energy
gravitational potential energy
kinetic energy
electromagnetic energy
Answer:
C. Kinetic energy.
Step-by-step explanation:
Kinetic energy is the energy an object has due to it's motion, since the motion of the object increased, it gained kinetic energy.
Answer:
Kinetic energy!
Step-by-step explanation:
Write an equation to express the translation of y = |x| left 5 units. *
Answer:A translation is a function that moves every point a constant distance in a specified direction. A vertical translation is generally given by the equation y=f(x)+b y = f ( x ) + b .
Step-by-step explanation: y=f(x)+b y = f ( x ) + b .
In 2006, 65.2 million people subscribed to cable television. In 2013, that number had decreased to 54.2 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.
Given :
In 2006, 65.2 million people subscribed to cable television.
In 2013, that number had decreased to 54.2 million.
To Find :
The percent decrease in the number of cable TV subscribers from 2006 to 2013.
Solution :
Decrease in the number of cable TV subscribers from 2006 to 2013 is :
[tex]Percetage\ Decrease = \dfrac{Decrease\ in \ price}{Initial\ price}\times 100\\\\Percetage\ Decrease = \dfrac{65.2-54.2}{65.2}\times 100\\\\Percetage\ Decrease = 16.87[/tex]
Therefore, percentage decrease is 16.87 %.
Find the largest three-digit number that can be written in the form 3^m + 2^n, where m and n are positive integers.
Answer:
985
Step-by-step explanation:
[tex]let\ m=6[/tex]
[tex]3^{6}=729[/tex][tex]999-729=270[/tex]
[tex]2^{8}=256[/tex] and [tex]2^{9}=512[/tex] which would be to big of a number.
[tex]3^{6}+2^{8}=729+256=985[/tex]
Therefore the largest three-digit integer in this system is 985
Be sure to show your work and solve for g:
g
+
6
−
3
=
31
28 + 6 = 34 and 34 - 3 = 31!!!!!!!
A car travels 200 miles using 8 gallons of gasoline. What's the unit rate in miles per gallon? Please write
your work and don't forget the unit.
Answer:
0.04
Step-by-step explanation:
what you would do is 8 divided by 200 and get 0.04
please mark me brainliest
Answer:
hey i need help with the same test can you help me please. I need the answers please help me.
Step-by-step explanation:
Using the Zero Product Property identify the solution set for (x + 3) (x + 8) = 0
a. -3, 8
b. -3, -8
c. 3, 8
d. 3, -8
India has a 12-foot board. How many 18-inch pieces can she cut from the board?
Answer:
Step-by-step explanation:
There are 12 inches in a foot
So for one full foot in inches you have just 1 foot with 6 inches remaining/ 1 foot with half a foot remaining.
Hope this helped!
Answer: 8 pieces.
Step-by-step explanation;
There is 12 inch in a foot, so they are 144 inches in 12 foot. If India cuts 18-inch pieces, she can cut 8 pieces. You can find this amount by dividing 144 inches into 18 inches, this will be eight pieces.
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Answer:
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Step-by-step explanation:
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %
The percentages associated with each unit of standard deviation are all 0, since the standard normal curve is symmetric and the area under the curve for each interval of the same length and equidistant from the mean is equal.
What is standard deviation?A standard deviation is a measure of how far apart the data is from the mean.
The table shows the area under the standard normal curve for different values of x, where x is the number of standard deviations from the mean.
To find the percentage associated with each unit of standard deviation, we can subtract the area from the table for the lower value of x from the area for the higher value of x, and round the result to the nearest hundredth.
For example, the percentage associated with one unit of standard deviation, from -1 to 0 or from 0 to +1, is:
Area from -1 to 0: 0.3413
Area from 0 to +1: 0.3413 (symmetric curve)
Percentage: 0.3413 - 0.3413 = 0 (rounded to nearest hundredth)
The percentage associated with two units of standard deviation, from -2 to 0 or from 0 to +2, is:
Area from -2 to 0: 0.4772
Area from 0 to +2: 0.4772 (symmetric curve)
Percentage: 0.4772 - 0.4772 = 0 (rounded to nearest hundredth)
Similarly, we can find the percentages associated with other units of standard deviation:
From -3 to 0 or from 0 to +3: 0.4987 - 0.4987 = 0
From -4 to 0 or from 0 to +4: 0.4999 - 0.4999 = 0
Therefore, because the standard normal curve is symmetric and the area under the curve for each interval of the same length and equidistant from the mean is equal, the percentages associated with each unit of standard deviation are all zero.
For more details regarding standard deviation, visit:
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Sole
x/5 = 10
1.x=50 2.x=2 3.x=15 4.x=5
There are 11 books on a shelf. 4 of these books are new. The rest of them are used.
What is the ratio of all books on the shelf to used books?
What is the ratio of used books to new books?
On the 6th grade camping trip there are two adults for every 11 students what's the ratio of adults to students
Just need answer no explanation
Answer:
I have no idea, sorry
Step-by-step explanation:
Can someone help and explain this question please thank you so much I appreciate
Answer:
$176.23
Step-by-step explanation:
(13x12)+(0.07x289)=
156+20.23=
$176.23
Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal?
Store X: 4 cans for $2.48
Store Y: 5 cans for $3.00
Store Z: 59 cents per can
Answer:
Step-by-step explanation:
Maybe its z or b
Answer:
proabky aldi or kroger find the unt rate by dividing in the cacuulator and compare them.
Step-by-step explanation:
If rick buys a remote control car of $34.00 what is the selling price
Answer:
Step-by-step explanation:
Lol what is this question man. If he bought it for $34, pretty sure the "selling price" is $34.00
Answer:
$34.00
Step-by-step explanation:
if he get it for $34.00 so the selling price is $34.00
The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 hours?
A
22°F
B
7°F
С
-2°F
D
-12°F
Answer:
The temperature in 4 hours = -2 °F
Thus, option (D) is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the rate of change or slope and b is the y-intercept
Let 'y' be the temperature Let 'x' be the time of the temperature in the hour
Given that the current temperature outside = 10°F.
Thus, the y-intercept = b = 10°F
Given that as the day went on, It will fall at a constant rate of 3°F per hour.
Thus, the slope or rate of change = -3°F
(The rate of change or slope is -3 because the temperature is reducing)
Thus, the rate of change = slope = m = -3
Thus, substituting m = -3 and b = 10 in the equation
[tex]y = mx+b[/tex]
[tex]y = -3x + 10[/tex]
Now, substituting x = 4 to determine the temperature after 4 hours.
y = -3(4) + 10
y = -12 + 12
y = -2 °F
Therefore, the temperature in 4 hours = -2 °F
Thus, option (D) is true.
If the homogeneity of variance assumption is violated in an independent groups t test, this means _________. the populations from which the samples were drawn have different standard deviations you should use the sign test the sample sizes should be equal and N greater than 30 to use the t test the populations from which the samples were drawn have different standard deviations and the sample sizes should be equal and N greater than 30 to use the t test
Answer:
the populations from which the samples were drawn have different standard deviations
Step-by-step explanation:
Given that the assumption of homogeneity of variance is the same as the assumption of the independent samples t-test which asserted that all comparison groups possess the same variance
Therefore, if the homogeneity of variance assumption is violated in an independent groups t-test, this means "the populations from which the samples were drawn have different standard deviations."
Please I really need help
Answer:
is the answer 3 times?
I wanna confirm lol
^^^^^^^^^^^^^^^^^^uuuuu
Answer:
Step-by-step explanation:
Top triangle:
The hash marks indicate congruence. So, x is congruent to 15 or x= 15
x+6= 21
The length of the sides of this triangle are 15,15, and 21.
Two sides are congruent so isosceles.
Bottom triangle:
The sum of the angles in a triangle is 180.
30+35+x=180
75+x=180
x=105
105> 90, so this is an obtuse triangle.
Answer:
Step-by-step explanation:
Top triangle
good luck God bless merry Christmas and happy new year and stay safe and good luck in life! God bless y’all! :)
How many minutes are not spent on instructions?
Answer: 1/5
Step-by-step explanation:
Answer:
I'm pretty sure the answer is 48 minutes!
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $700 and the daily rate for each partner is $1700. The law firm assigned 4 more partners than associates to the case and was able to charge the client $21200 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
Let the daily rate of each associate, A = $700
And the daily rate of each partner, P = $1700
Let the total number of individuals involved in the case = NT
Total number of partners = NP
Total number of associates = NA
NP + NA = NT -------- (i)
From the question; NP - NA = 4 -------- (ii)
From (i), NA = NT - NP
Substitute in (ii) as: NP - (NT - NP) = 4
Therefore, 2NP - NT = 4.
And NP = 2 + (NT/2) --------- (iii)
Substitute for NP in (i) above: NT = NA + 2 + (NT/2)
Therefore, NT - (NT/2) - 2 = NA.
NA = (NT/2) - 2 ---------- (iv)
Finally, the total daily rate was $21200. This is a composite of the daily rate and numbers of both associates and partners.
Therefore, (A * NA) + (P * NP) = $21200 ---------- (v)
To find the individual number of associates and partners involved in this case, first substitute the values of NP and NA from (iii) and (iv) respectively into (v) such that the only variable in (v) is NT.
Solve for NT and then use the value to find NP and NA.
NT = 16
NP = 10
NA = 6
Notice that 10 - 6 = 4. Q.E.D
Hope this helps.
Answer:
p=a+4
Step-by-step explain:
Let a=the number of associates designated
let p=the number of partners designated
Write System of Equations:
700a+1700p=21200
hallar el valor de x en 3(x-2)+4=x-5
Answer:
exact form 3/2 decimal form 1.5 mixed number form 1 1/2
Step-by-step explanation:
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{x = - \frac{3}{2} }}}}[/tex]
☯[tex] \underline{ \underline{ \sf{Question}}} : [/tex]
3 ( x - 2 ) + 4 = x - 5☯ [tex] \underline{ \underline{ \sf{To \: find}}} : [/tex]
the value of x[tex] \text{Given \: Equation : \: 3(x - 2) + 4 = x - 5}[/tex]
You must distribute first ! In this equation , you have the distributive property on left hand side of the equation. You must first get rid of the parentheses.
⇢ [tex] \text{3 × \: x - 3× 2 + 4 = x - 5} [/tex]
⇢ [tex] \text{3x - 6 + 4 = x - 5}[/tex]
On the left hand side , you have two numbers : - 6 and 4. Remember that ' The negative and positive numbers are subtracted but posses the sign of the bigger number. '
⇢[tex] \sf{3x - 2 = x - 5}[/tex]
Move x to left hand side and change it's sign.
Similarly , move 2 to right hand side and change it's sign.
⇢[tex] \sf{3x - x = - 5 + 2}[/tex]
On the left hand side , you have like terms. Combine the like terms : 3x - x = 2x
⇢[tex] \sf{2x = - 5 + 2}[/tex]
On the right hand side , - 5 + 2 = -3
⇢[tex] \sf{2x = - 3}[/tex]
Divide both sides by 2
⇢[tex] \sf{ \frac{2x}{2} = - \frac{3}{2} }[/tex]
⇢[tex] \boxed{\sf{x = - \frac{3}{2} }}[/tex]
-----------------------------------------------------------------
✏ CHECK :
[tex] \text{3(x - 2) + 4 = x - 5}[/tex]
Substitute [tex] \sf{ - \frac{3}{2}} [/tex] for x into the original equation. And simplify !
⇾ [tex] \sf{3( - \frac{3}{2} - 2) + 4 = - \frac{3}{2} - 5}[/tex]
⇾[tex] \sf{3( \frac{ - 3 - 2 \times 2}{2} ) + 4 = \frac{ - 3 - 5 \times 2}{2}} [/tex]
⇾[tex] \sf{3( \frac{ - 3 - 4}{2} ) + 4 = \frac{ - 3 - 10}{2}} [/tex]
⇾[tex] \sf{3( \frac{ - 7}{2} ) + 4 = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 21}{2} + 4 = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 21 + 4 \times 2}{2} = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 21 + 8}{2} = \frac{ - 13}{2}} [/tex]
⇾[tex] \sf{ \frac{ - 13}{2} = \frac{ - 13}{2}} [/tex]
Since both sides are equal , x = [tex] \boxed{ - \sf{ \frac{ 3}{2} }}[/tex] is the correct answer.
And we're done !!
Hope I helped!
Have a wonderful day ! ツ
~TheAnimeGirl ♡
Solve the system:
3x+6y=51
y=40-5x
Write down your solution here
Answer:
x=7 y=5
Step-by-step explanation:
3x+6(40-5x)=51
3x+240-30x=51
-27x+240=51
-27x=-189
27x=189
x=7
y=40-5(7)
y=40-35
y=5