Selection of machines is persons choice and not arranged specifically, thus we will use Combination.
⇒ 20C5
⇒ 20!/5!(20-5)!
⇒ 15504
Use combination
total ways
[tex]\\ \rm\dashrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
[tex]\\ \rm\dashrightarrow ^{20}C_5[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{20!}{5!15!}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{20(19)(18)(17)(16)(15!)}{5(4)(3)(2)(15!}[/tex]
[tex]\\ \rm\dashrightarrow 15504[/tex]
John has 7 mice in his lab. He knows a mouse population doubles every month. When can he expect to have 2,625 mice? Please explain.
Answer:
31 years and 3 months or non
Step-by-step explanation:
the first thought that comes into my mind is
1 month=7 mice
n month= 7×n=2625 mice
n= 2625÷7=375
so it takes him to 375 months = 31 year and 3 months
but putting on a 2nd thought, I noticed that mice and mouse is different species. so there aren't exact answer
× 10^-3 is 2,000 times greater than 1. 9 × 10-6. It is also times greater than 9. 5 × 10^-4
Answer:
1.9 × 10^-6.
Step-by-step explanation:
Find the mean absolute deviation of the data set: 1,3,7,11,13
A bouncy ball is dropped from a height of 16ft and always rebounds of the distance of the previous fall.
What distance does it rebound the 5th time?
What is the total distance the ball has travelled after this time?
Draw a picture to represent the bouncing ball.
The bouncy ball follows a geometric sequence or pattern
The distance of rebound the 5th time is 0.015625 ftThe total distance the ball has travelled after this time is 5.328125 feetThe distance of rebound the 5th timeThe given parameters are:
Initial height, a = 16 ftRebound rate = 0.25The distance at rebound n is represented as:
Hn = a * r^n
At the 5th time, we have:
H5 = 16 * 0.25^5
Evaluate
H5 = 0.015625
Hence, the distance of rebound the 5th time is 0.015625 ft
The total distance travelledTo do this, we calculate H1 to H5
So, we have:
H1 = 16 * 0.25^1 = 4
H2 = 16 * 0.25^2 = 1
H3 = 16 * 0.25^3 = 0.25
H4 = 16 * 0.25^4 = 0.0625
H5 = 0.015625
Add this distances
Total = 4 + 1 + 0.25 + 0.0625 + 0.015625
Total = 5.328125
Hence, the total distance the ball has travelled after this time is 5.328125
See attachment for the picture
Read more about geometric sequence at:
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The profits in hundreds of dollars, p(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: p(c) = –20c2 320c 5,120. what is the maximum profit the company can make from the product? $540,000 $640,000 $800,000 $896,000
Answer:
640,000
Step-by-step explanation:
took test
Answer:
B
Step-by-step explanation:
Edge 2022
Skylar made 25% of her free throws over the season. If she shot 200 free throws, how many did she make?
Answer:
50 Free Throws
Step-by-step explanation:
Answer: 50 Free Throws
25% = 0.25
0.25*200=50
skylar sucks at basketball
What is the constant of proportionality?
Answer: y= 2x
Explanation: The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Which expression is equivalent to side "8"?
2
d
8
3
45
1.
e
5
nv2
n3
O O OO
5
n
2n
Answer:
n
Step-by-step explanation:
Let d = n.
As both d and 8 are opposed by the same angle (45°) in the right triangle, they are equalTherefore, n = 8please help me with this
Answer:
[tex]183 ft^{2}[/tex]
Step-by-step explanation:
SA = bh + 2ls + lb
b = 6
h = 5
l = 9
s = 5.5
SA= (6 x 5) + 2(9 x 5.5) + (9 x 6)
SA = 30 + 2 x 49.5 + 54
SA = 30 + 99 + 54
SA = 183
In a triangle, a base and a corresponding height are in the ratio 3:2. The area is 108 in^2. Find the base and the corresponding height.
base = 18
height = 12
Step-by-step explanation:
look at the photo its quick n ez
Dominic is buying candy by the pound for a party. For every 1010 pounds of candy he buys, he pays \$ 12$12. What is the cost, per pound, for the candy?
How many bars would the team need to purchase from each company in order for the total cost to be equal? 6 8 30 40
Answer:
It's 40
Step-by-step explanation: Fortunately for you I risked my test for you and ended up getting the correct answer of course^0^
Answer:
40
Step-by-step explanation:
Please help me out if appreciate it :)
Answer:
51
Step-by-step explanation:
they are congruent so they are equal to eachotjer
A right angle forms a square corner, like the shown below. Draw two angles that are open less than the right angle. Solve this Problem any way you choose
Answer:
Any angle less than 90 degrees.
Step-by-step explanation:
90 degrees is a right angle. Anything less than that, or less open, would be an acute angle. Anything wider than 90 degrees is an obtuse angle.
What is the volume of the solid figure?
Enter your answer in the box.
Solid is made up of 3 cuboids. First cuboid has length as 4 ft, height as 9 ft and width as 3 ft. Remaining 2 cuboids are placed on the right and left side of the 1st cuboid whose length as 1 ft, height as 1 ft and width as 3 ft.
Answer:
Volume of the solid = 2[1 x 1 x 3] + (4 x 3 x 9) = 114 ft³
Ans: 114 ft³
Step-by-step explanation:
Which values of c will cause the quadratic equation –x2 3x c = 0 to have no real number solutions? check all that apply.
The given quadratic equation will not have any real solution for c<-9/4.
The given quadratic equation is:
[tex]-x^{2} +3x+c=0[/tex]
What is a quadratic equation?Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation with a≠0.
In order to have no real solution, the discriminant of a quadratic equation will be less than zero.
[tex]D < 0[/tex]
[tex]3^{2} -4(-1)(c) < 0[/tex]
[tex]9+4c < 0[/tex]
[tex]c < -\frac{9}{4}[/tex]
For [tex]c < -\frac{9}{4}[/tex] the given quadratic equation will have no real solutions.
Hence, the given quadratic equation will not have any real solution for c<-9/4.
To get more about quadratic equations visit:
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complete this sentence
48% of __is 12.
12= 0.48xw
w=?
25
Step-by-step explanation:
hope this helps for yoir homework
Which is the value of `3/4 + 1/2 - 1/3`?
A
`2/3`
B
`7/12`
C
`11/12`
D
`3/3`
Hey there!
3/4 + 1/2 - 1/3
= 5/4 - 1/3
≈ 15/12 - 4/12
≈ 15 - 4 / 12 - 0
= 11/12
Therefore, your answer is: 11/12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Rewrite the equation in exponential form, and show how you got there:
Answer: [tex]13^0=1[/tex]
Step-by-step explanation:
Logarithms are in the format [tex]log_{b} a=c[/tex] while exponential form is in the format [tex]b^c=a[/tex]
So we can transfer a,b, and c from the log form to the exponential form
[tex]log_{13} 1=0\\\\13^0=1[/tex]
A certain gas has a volume of 10 liters at a temperature of 404 kelvins (k) and a pressure of 36 pascals (pa). if the temperature is raised to 450 k and the pressure is raised to 40 pa, what is its volume? to the nearest liter, the volume is liters.
The final volume of the ideal gas is 10.02 liters.
Given Initial volume V₁=10 liters
Initial temperature T₁=404K
Initial pressure P₁ = 36 pascals
Final volume = V₂
Final temperature T₂ = 450K
Final pressure P₂ =40 pascals
What is the ideal gas equation?The ideal gas equation with usual notations is given by:
[tex]\frac{P_1V_1}{T_1} =\frac{P_2V_2}{T_2}[/tex]
So, [tex]\frac{36*10}{404} =\frac{40*V_2}{450}[/tex]
[tex]V_2=[/tex]10.02 liters
Hence, the final volume of the ideal gas is 10.02 liters.
To get more about the ideal gas visit:
https://brainly.com/question/20348074
Answer:
10 liters
Step-by-step explanation:
A corner of a rectangle is cut, creating a trapezoid. a right trapezoid is shown. the angles are 90 degrees, 90 degrees, 45 degrees, and x. what is the value of x? 105o 115o 125o 135o
Answer:
D) 135
Step-by-step explanation:
Add 90+90+45, which is equal to 225,
then subtract that from 360, which is the amount that every quadrilateral has in total.
The answer is 135.
Hope This Helps! :) Please Give Brainliest if this does!
Answer:
D on edge
Step-by-step explanation:
You're welcome :)
The local store has 7 containers with 14 apples in each container. If they sell 23 apples, how many apples will they have left?
Answer: 75 apples they have left
Step-by-step explanation:
7 (14) = 98 apples total
98 - 23 = 75
Find a real life example of an inequality and explain why it represents an inequality
Answer:
Roads have speed limits
Step-by-step explanation:
Roads have speed limits. This is an inequality because it doesn't reflect an exact number, but rather a restriction on what is permissible or possible.
How does the value of the 8 in 589,310 compare to the value of 8 in 598,301?
Options: It is 8 times as much, It is 10 times as much, It is 80 times as much, It is 100 times as much.
Answer:
It is 10 times as much.
Step-by-step explanation:
The value of 8 in 589,310 is 80,000, while the value of 8 in 598,301 in 8,000. Thus, 80,000 is 10 times as much as 8,000.
Answer:
it is 10 times as much
Step-by-step explanation:
what are the formula to find the vertex of hexagon
Answer:
the answer is 6
Step-by-step explanation:
there are 6 side you times the 6 with the area of an equilateral triangle so the area of hexagon = 6
You roll a 6-sided die.
What is P(5)?
Write your answer as a fraction or whole number.
Submit
Work it out
Not feeling radunt? Th
Answer:
6*5=30= 30/100
Step-by-step explanation:
we will multiply 6* by 5 and after that we will do it fraction by doing that 30/100
what's the ans?
[tex]\bf 6(x+4)+1=x+5[/tex]
Answer:
x = -4
Step-by-step explanation:
6 (x + 4) + 1 = x + 5
6x + 24 + 1 = x + 5 (distributive property)
6x + 25 = x + 5
6x + 25 - x = 5
5x + 25 = 5
5x = 5 - 25
5x = -20
x = -20/5
x = -4
Hope it helps ⚜
Answer: x = -4
Step-by-step explanation:
[tex]6\left(x+4\right)+1=x+5[/tex]
[tex]$$Expand the parentheses[/tex]
[tex]6x+25=x+5[/tex]
[tex]\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}[/tex]
[tex]6x+25-25=x+5-25[/tex]
[tex]$$Simplify[/tex]
[tex]6x=x-20[/tex]
[tex]\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}[/tex]
[tex]6x-x=x-20-x[/tex]
[tex]$$Simplify[/tex]
[tex]5x=-20[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]
[tex]\frac{5x}{5}=\frac{-20}{5}[/tex]
[tex]$$Simplify[/tex]
[tex]x=-4[/tex]
You roll a number cube one time. What is the probability that you roll a 6 or 4? Enter your answer as a fraction in simplest form.
That's two possibilities of a total of six =
2/6=1/3=33.33%
(1/3)
Please helpppp meee outttt
Answer:
Measure of <z would 125 degrees
Step-by-step explanation:
Miguel practiced more than 5 hours for his first soccer game. which inequality represents p, the amount of time Miguel practiced?
Answer:
P>5hours
Step-by-step explanation:
practice time is > five hours