Answer:
P = 0.0655
Step-by-step explanation:
First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:
[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]
Because we have 20 different balls every time and the experiment is repeated 10 times.
Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:
[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]
Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.
Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:
[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]
Please help. I will be constantly asking questions on the app to finish a class and i only have a day
Answer: C [tex]0\leq y\leq 5[/tex]
Step-by-step explanation:
What is the length of AC?
Please help!!!!
Answer:
Step-by-step explanation:
answer b
Answer:
Option B
Step-by-step explanation:
Let us consider that these right triangles form a sort of proportion among one another. If that is so, we can list out which sides of one triangle correspond to which side of the other triangle;
[tex]BA and DE,\\AC and EC,\\BC and DC[/tex]
With this being said, it is given that BA = 84, and DE = 7. To prove that the could be proportional, let us form a like fraction;
[tex]DE / BA =\\84 / 7 = \\12\\\\Conclusion, BA = 12 * DE\\Conclusion, Sides Of Triangle DEC = 12 * Sides Of Triangle BAC[/tex]
With that, the length of AC in respect to EC can be represented as such;
[tex]AC = 12 * EC,\\156 - x = 12 * x,\\156 - x = 12x,\\156 = 13x,\\\\x = 12[/tex]
[tex]AC = 156 - x = 156 - 12 = 144[/tex]
Solution - Option B
Find the mean of the following group of numbers: 1.2, 2.3, 0.8, 2.3, 1.0, 3.1,
4.2, 1.4, 2.1, 0.4, 1.3, 2.0, 1.8, 3.2*
Answer:
1.93
Step-by-step explanation:
1.To find the mean you need to add all the numbers
2. Next divide by how many numbers they are
Example:
1,2,3,4
1. Add the numbers together
(1+2+3+4=10)
2. Divide by how many numbers they are
(There are only 4 numbers)
So..... 10 ÷4 =2.5
So 2.5 is the mean
what is the the importance and applications of percentages in the real world?
Answer:
because
Step-by-step explanation:
Percentages are an important part of our everyday lives. Percentage is a very handy way of writing fractions. Percentages can be compared more easily than fractions. ... The commission can be a percentage of the sales made.
Answer:
Sales tax
Depending on where you live, you might pay a sales tax on the things you buy. A sales tax is an extra charge added to the price of an item. The amount you pay in tax is almost always a percentage of that price.
Suppose you buy a $50 coffeemaker in an area where the sales tax is 8%. When you check out, 8% of $50 would be added to your total price. How much would you pay total?
Step-by-step explanation:
In a pile of playing cards, there are 6 hearts, 4 clubs, and 8 spades. What is the probability that you will draw a heart?
1. 1/2
2. 1/6
3. 1/3
4. 1/12
Answer:
1/3
Step-by-step explanation:
The probability that you will draw a heart is 1/3, the correct option is 3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of cards= 6 hearts, 4 clubs, and 8 spades
Now,
To find the probability of drawing a heart, we need to divide the number of hearts by the total number of cards in the pile. The number of hearts is 6 and the total number of cards is 6 + 4 + 8 = 18.
The probability of drawing a heart is 1/18=1/3
Therefore, by probability the answer will be 1/3.
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Can someone please help me please please
Answer:
AA similarity postulate
Step-by-step explanation:
B and D are corresponding angles who both have measures of 50 degrees, which makes one pair of angles for this postulate. The other pair are ACB and ECD, because they are vertical angles and therefore congruent. Since when two angles in two triangles are the same, the third must be the same as well, these triangles must be similar. Hope this helps!
Can I get help please.
Answer:
see below
Step-by-step explanation:
A: Points A and B form a right triangle with legs of 2 and 5 so AB is approximately 5.4 from the Pythagorean Theorem.
B: Points B and C form a right triangle with legs of 2 and 5 so BC is approximately 5.4.
C: We need to find the length of AC. We can do this by using the same strategy above. Points A and C form a right triangle with legs of 7 and 3 so AC = 7.6. To find the perimeter we'll do 5.4 + 5.4 + 7.6 = 18.4.
System of equations by elimination
2x - 3y = 5
2x + 2y = 10
Now your teacher is hosting a picnic for their family and discovers that 30 relatives are coming to the picnic and everyone wants to eat 2 hot dogs! What is the least number of packages of hot dogs and hot dog rolls that your teacher will have to buy to feed all her relatives?
Answer:
6 hot dogs package assuming she's buying a single package to contains 10 package or approximately 8 rolls if she buys the 8 package containing above 60 rolls of hot dogs.
In my opinion, she needs at least 8 package of hot dog rolls to make hot dogs for her guests.
Step-by-step explanation:
Hello,
There are typically 10 hot dogs in a single package. However some may contain 8 hot dogs rolls in a single pack so we'll solve for both in case which ever one she decides to buy.
My teacher is expecting 30 guests coming to the party and each 1 one them wants to eat 2 hot dogs.
To solve this question, we would first of all know the total number of hot dogs they'll probably eat at the party.
2 hot dogs = 1 person
y hot dogs = 30 people
y = (30 × 2) / 1
y = 60 hot dog.
Therefore, the guest would most likely consume at least 60 hot dogs at the party.
However, in a single hot dog package, it contains 10 hot dogs in it.
Now we'll have to find out the total number of hot dogs package my teacher needs to buy to prepare the hot dogs for her guests.
To do that, we'll have to divide the total number of hot dogs expected to be consumed by the total number of hot dogs in one package.
Number of package = total number of hot dogs expected to be consumed / total number of hot dogs in one package.
Number of package she needs = 60 / 10
Number of package she needs = 6
Therefore, my teacher requires 6 hot dog package.
But some hot dogs comes in 8 rolls per package
Using the same method above,
Number of rolls she needs = 60 / 8
Number of rolls she needs = 7.5 approximately 8 rolls
Enzo drew Triangle K L N. In Enzo's triangle, Measure of angle K is represented as x degrees. The measure of Angle L is 5 times Measure of angle K. The measure of Angle N is 16 degrees less than 8 times Measure of angle K. Which statements must be true about the angle measures of Enzo's triangle? Check all that apply. Measure of angle K = x degrees Measure of angle L = (5 x) degrees Measure of angle N = (16 minus 8 x) degrees Measure of angle K + measure of angle L = measure of angle N Measure of angle K + measure of angle L + measure of angle N = 180 degrees
Answer: (1) Measure of angle K = x degrees
(12) Measure of angle L = (5x) degrees
(3) Measure of angle k + Measure of angle L + Measure of angle N = 180 degrees
Step-by-step explanation: First of all, what we have is a triangle, and one of the properties of a triangle is all three angles add up to 180 degrees. This simply means that the addition of angles K and L and N would be equal to 180 degrees.
The question states that angle K is represented as x degrees, and angle L is 5 times the measure of angle K. Therefore, if K is x degrees, then L is 5 times x, which becomes 5x degrees. Also, angle N is given as 16 degrees less than 8 times the measure of angle K (x degrees). Eight times the measure of angle K is given as 8x. Sixteen degrees less than 8x would now become, 8x - 16 (degrees). Therefore, the angles have been derived as;
Angle K = x degrees
Angle L = 5x degrees
Angle N = 8x - 16 degrees
Having known that one of the properties of any triangle is all angles adding up to 180 degrees, we can now derive the following equation;
x + 5x + 8x - 16 = 180
14 x - 16 = 180
Add 16 to both sides of the equation
14x = 196
Divide both sides of the equation by 14
x = 14
Therefore, angle K = 14 degrees (x), angle L = 70 degrees (5x) and angle N = 96 degrees (8x - 16)
*14 + 70 + 96 = 180*
Answer:
145
Step-by-step explanation:
Which is the focus of a parabola with equation y2 = 4x?
0 (-1,0)
0 (0, -1)
0 (0, 1)
(1, 0)
Answer:
(1, 0)
Step-by-step explanation:
Please write this as y^2 = 4x; the " ^ " indicates exponentiation.
The appropriate equation for a horizontal parabola that opens to the right is
y^2 = 4px
Here, we are told that y^2 = 4x; this tells us that 4p = 4, and so p = 1.
Again, this parabola is a horizontal one and it opens to the right. p = 1 is the distance of the focus from the vertex, and in this case p = 1. Thus, the focus is at (1, 0) (situated on the x-axis).
Answer:
(1,0) 2022
Step-by-step explanation:
stop playing wit me
HELP PlZ
Which of the following graphs represents the equation
y-4=3(x-1)?
Graph A.
Graph B.
Graph C.
Graph D.
Answer:
D
Step-by-step explanation:
The point slope form of a line is y-h=m(x-k), where h is the y coordinate of the point, k is the x coordinate, and m is the slope. Therefore, a line with the equation given will have a slope of 3 and go through the point (1,4). The only graph here that matches that is graph D, meaning that it is the answer. Hope this helps!
Answer:
D is the answer
Step-by-step explanation:
which best explains whether a triangle with side lengths 5cm 13cm and 12 cm is a right triangle
Answer: the awnser is 0 jk its not
Step-by-step explanation:
i just want point repete dkmkmkrfnjrjnnfrfr
Answer:
Yes, it can make a right triangle.
Step-by-step explanation:
We can use the Pythagorean Theorem to determine if the sides make a right triangle.
[tex]a^2+b^2=c^2[/tex]
We are given the side lengths: 5cm, 13cm, and 12 cm.
13cm is the longest, so it would be 'c'.
5cm and 12cm will be 'a' and 'b'.
Let 5 be 'a', 12 be 'b', and 13 be 'c':
[tex]5^2+12^2=13^2\\\\\text{Solve the Exponents:}\\ \rightarrow 5^2=25\\\rightarrow 12^2=144\\\rightarrow 13^2=169\\\\25+144=169\\\boxed{169=169}[/tex]
5cm, 13cm, and 12 cm would make a right triangle. It satisfies the Pythagorean Theorem.
Which angles are corresponding angles?
Check all that apply.
8
4
7
3
6
2
O A. 6 and 3
B. 1 and 6
C. 1 and 3
D. 5 and 7
I E. 6 and 8
F. 7 and 2
I need A and B. Thanks
Answer:
A: its 13 cm
B:15cm
Step-by-step explanation:
A: its because its on a slight incline
B:again its on a big incline
When the point (3,k) lies on each of these lines, find the value of k.
a) y=3x+2
b) y=4x-2
c) y=3-2x
d) x+y=7
e) x-2y=1
If you answer you don't have to explain but please do
Which scenario is modeled in the diagram below? Percents Total 75% 25% 100% 25% 25% 25% 25% $55.15 $55.15 $55.15 $55.15 Kaia saved $55.15 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $165.45 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $55.15 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60. Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60.
Answer:
the answer is d
Step-by-step explanation:
i did whhat the other person said and got it right
Answer:
D
Step-by-step explanation:
What is the leading coefficient of the polynomial f(x)f(x) defined below? f(x)=−3x^4−10x^3
Answer:
9x^8
Step-by-step explanation:
f(x) is a binomial. Multiplying a binomial by itself results in a trinomial. In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.
Here this is obtained by squaring the coefficient −3x^4. We get"
(-3)^2*(x^4)^2 = 9x^8
The train holds 66 passengers.
It starts out empty.
It picks up 1 passenger at the first station, 2 passengers at the second station, 3
passengers at the third station, and so on.
No one gets off.
After how many stations will the train be full?
Answer:
1,2,3,4,5,6,7,8,9,10,11
3 + 7 + 11 + 15 + 19 + 11
10 + 26 + 19 + 11
55 + 11 = 66
11 stations
Hope this helps
Step-by-step explanation:
Answer:
11 stations.
Step-by-step explanation:
1st stop = 1
2nd stop 1+2=3
3rd stop 3+3=6
4th stop 6+4=10
5th stop 10+5=15
6th stop 15+6=21
7th stop 21+7=28
8th stop 28+8=36
9th stop 36+9=45
10th stop 45+10=55
11th stop 55+11=66
What value of n makes the statement true?
6x^n• 4x^2=24x^6
n =
Answer:
n =4
Step-by-step explanation:
6x^n• 4x^2=24x^6
Combine like terms
24 x^n *x^2 = 24 x^6
We know that a^b * a^c = a^(b+c)
24 x^(n +2) = 24 x^6
Divide each side by 24
x^(n +2) = x^6
The bases are the same so the exponents are the same
n+2 = 6
Subtract 2
n+2-2 = 6-2
n=4
Answer:
4
Step-by-step explanation:
just did it
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi?
gohead ask a teacher or another site
I need the same question to
A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that comes out will be neither yellow nor blue?
show work pls tnx!
Answer:
total balls in the Machine = 7+5+4 = 16
Step-by-step explanation:
METHOD-1
Probability of First ball to be Blue = 7/(7+5+4) = 7/16
Probability of Second ball to be Green = 5/(15) = 5/15 [15 balls remaining after one being taken out in Step 1]
Probability of Third ball to be red = 4/(14) = 4/14 [14 balls remaining after Two being taken out in Step 1&2]
But this can happen in any order so the orders in which it can happen = 3!
i.e. Final Probability that machine dispenses one gumball of each color = (7/16)*(5/15)*(4/14)*3! = 1/4
Answer: Option E
METHOD-2
The total ways in which three balls can be Picked out of a total of 16 balls (with orders) = 16*15*14 = 840
The ways in which three balls of different colors can be taken out (with orders) = 7*5*4*3! = 3360
Probability = Favourable Outcome / Total Outcomes
i.e Probability = 840 / 3360 = 1/4
Answer: Option E
METHOD-3
The total ways in which three balls can be Picked out of a total of 16 balls (without orders) = 16C3 = 560
The ways in which three balls of different colors can be taken out (with orders) = 7C1 * 5C1 *4C1 = 140
Probability = Favourable Outcome / Total Outcomes
i.e Probability = 140 / 560 = 1/4
Answer: Option E
What is the quotient when (x + 2) is divided into the polynomial 2x2 - 2x - 12?
Answer:
2(x-3)
Step-by-step explanation:
2x² - 2x - 12= 2(x²-x+6)= 2(x²+2x- 3x+6)= 2(x-3)(x+2)
(2x² - 2x - 12)/(x+2)= 2(x-3)(x+2)/(x+2)= 2(x-3)find the equation of the line passing through the point (0,1) which is perpendicular to the line y=-3/4x-3
Answer:
y = [tex]\frac{4}{3}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{4}[/tex] x - 3 ← is in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex]
The line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = [tex]\frac{4}{3}[/tex] x + 1 ← equation of perpendicular line
A. (-3,5)
B. (-2,2)
C. (-1,-3)
D. (0,-1)
Need help ASAP
Explanation:
The first inequality has its shaded region below the solid boundary line. The second inequality has its shaded region above the dashed boundary line. Overlapping the two regions leads to the left-most shaded area. This shaded area is darkest of all the shaded areas, due to the overlapping colors. All points in this area make both inequalities true.
Only point B (-2, 2) is in this region. The other points are either in one shaded region only.
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below. Use the given expression to complete the statements below. The expression is the of the amount initially deposited and the of one and the rate of increase raised to the number of .
Complete Question
Samuel received $250 as prize money for winning the St. Peterson High School Badminton Tournament. The money was deposited in a special scholarship account that offered an annual interest of 1.8% compounded semiannually. The amount he will have in the accoutnt after t years can be calculated using the expression below.
[tex]250(1+\frac{0.018}{2})^{2t}[/tex]
Use the given expression to complete the statements below.
The expression is the___(Product , Sum , Quotient , Square) of the amount initially deposited and the____(Quotient , Product , Difference , Sum) of one and the rate of increase raised to the number of ___.(Compounding Periods , Years, Months)
Answer:
ProductSumCompounding PeriodsStep-by-step explanation:
For an amount invested at compound interest at a rate of r% with period for t years,
Amount [tex]=P(1+\frac{r}{k})^{tk}[/tex]
Comparing with the given expression: [tex]250(1+\frac{0.018}{2})^{2t}[/tex]
Period =2
Rate =0.018
Total Compounding Period =2 X t, where t=Number of years
Therefore:
The expression is the Product of the amount initially deposited and the Sum of one and the rate of increase raised to the number of Compounding Periods .
Lucky's Market purchased a new freezer for the store.
When the freezer door stays open, the temperature
inside rises. The table shows how much the
temperature rises every 15 minutes. Find the unit rate.
temperature (°F) =10
number of minutes =15
°F per minute
Answer:
1/3 degreees/min
Step-by-step explanation:
In 15 min, temp. rises by 10 degrees
This means that 10 degrees / 15 min = 2 deg / 3 min
1/3 degree/min
The unit rate of change in °F per minute is 0.667°F/ min .
What is an Equation ?An equation is a statement formed when variables are equated by a constant or another variable by an equal sign.
It is given that
The rate of increase of temperature with increasing time is given
The unit rate of change in °F per minute has to be determined .
In 15 minutes , the temperature changes by 10°F
The rate of unit change is 10 / 15 = 0.667
20/30 = 0.667
40/60 = 0.667
Therefore the unit rate of change in °F per minute is 0.667°F/ min .
To know more about Equation
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what is the ratio 14:56 in its simplest form thx
Answer:
1:4
Step-by-step explanation:
7:28
1:4
Answer:
1:4
Step-by-step explanation:
14:56=
7(2):7(8)=
2:8=
2(1):2(4)=
1:4
Hope this helps!
Here is a scale drawing of a swimming pool where 1 cm represents 1 m. The dimensions of the drawing are 6.5 cm by 13 cm.
How long and how wide is the actual swimming pool?
Answer:
1cm
Step-by-step explanation:
Expand the expression: 3ln2x+lnx-ln17
Answer:
woops i dont know the answer
my bad this is payback
Step-by-step explanation:
Answer:
hey dude!
your answer is
33x-17
Step-by-step explanation:
you need to do 32x+x-17
hope this helps
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