Answer:
Yessir
Step-by-step explanation:
A lock has a 3-number code made up of 15 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
Answer:2730
Step-by-step explanation:
The number of ways we can choose three different numbers in order for a unique code for this case is 2730
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
Given that:
The considered lock as a 3 number codeThere are 15 numbers available.None of the number can repeat.In a lock, the order of the way numbers are arranged matters.
Because of no repetition allowed, we can simulate this situation as:
The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.
And we have:
The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]
Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730
Learn more about combinations and permutations here:
https://brainly.com/question/16107928
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Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
The owner of a football team claims that the average attendance at games is over 642, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.
a) There is not sufficient evidence to support the claim that the mean attendance is greater than 642.
b) There is sufficient evidence to support the claim that the mean attendance is less than 642.
c) There is sufficient evidence to support the claim that the mean attendance is greater than 642.
d) There is not sufficient evidence to support the claim that the mean attendance is less than 642.
Answer:
a) There is not sufficient evidence to support the claim that the mean attendance is greater than 642.
Step-by-step explanation:
since in the question it is mentioned that the average attendance at games should be more 642 and according to this he moving the team with a larger stadium. Also the hypothesis conducted and the conclusion would be failure to deny the null hypothesis
So here the conclusion that should be made in non-technical term is that there should be no enough proof in order to support the claim that the mean attendence is more than $642
What is the volume of the rectangular prism?
I needd help pleaseeeee
A jeweler makes a necklace using a total of 60 shells and shark teeth. The ratio of shells to shark teeth is 5:1. How many of each does she use?
Similar Triangles
A triangle has two angles measuring 90° and 50°, calculate the third angle of the triangle.
a. 50°
b. 40°
c. 45°
d. 75°
Please select the best answer from the choices provided
Answer:
B. 40°
Step-by-step explanation:
I calculated it logically
Please help
Kari walked a total of 10 kilometers by making 5 trips to school. How many trips will
Kari have to make in all to walk a total of 16 kilometers? Assume the relationship is
directly proportional.
Answer:
8
Step-by-step explanation:
10÷2=5
16÷2=8
so then it means it is 8
Please help me ITS DUE PLEASE
Answer:
Step-by-step explanation:
its A
Answer:
Answer:
Step By Step:
Letter:A
If f(×)=1/3×^2+5find f(-9)
Answer:
I think this is the answer
[tex]f( - 9) = \frac{1}{3( - 9) {}^{2} } + 5 \\ = \frac{1216}{243} \\ = 5.0041[/tex]
PLEASE HELP ASAP LOOK AT PHOTO PLEASE
Answer:
6: x = 3 and y = 5
7: x = 8 and y = 7
Step-by-step explanation:
In parallelograms opposite sides are congruent
For #6
x + 5 = 2x + 2
step 1 subtract x from each side
2x - x = x
x - x cancels out
now we have 5 = x + 2
step 2 subtract 2 from each side
5 - 2 = 3
2 - 2 cancels out
we're left with x = 3
y + 10 = 2y + 5
step 1 subtract 5 from each side
10 - 5 = 5
5 - 5 cancels out
now we have y + 5 = 2y
step 2 subtract y from each side
y - y cancels out
2y - y = y
we're left with y = 5
For #7
3x - 2 = 2x + 6
step 1 add 2 to each side
-2 + 2 cancels out
6 + 2 = 8
now we have 3x = 2x + 8
step 2 subtract 2x from each side
3x - 2x = x
2x - 2x cancels out
we're left with x = 8
6y - 8 = 4y + 6
step 1 add 8 to each side
-8 + 8 cancels out
6 + 8 = 14
now we have 6y = 4y + 14
step 2 subtract 4y from each side
6y - 4y = 2y
4y - 4y cancels out
now we have 14 = 2y
step 3 divide each side by 2
2y / 2 = y
14 / 2 = 7
we're left with y = 7
What is the value of x in the equation −x = 3 − 4x + 6?
−9
−3
3
9
Answer:
The answer is 3
Answer:
x = 3
Step-by-step explanation:
-x = 3 - 4x +6
make the -4x positive and then add it to the -x
-x = 3 +6
+4x
3x = 3 +6
then add the 3 +6 together
3x = 3 + 6
9
3x = 9
we want to get X alone so we are going to divide 3 by both sides
3x/3 = 9/3
1x = 3
and if you did not know we usually don't show the "1" if it is in front of a exponent (you just have to remember that there is a one there)
now you have your answer
x = 3
A boat travels 120 miles with the current down the river in less time than it takes to travel 80 miles against the current up the river. The boat makes the entire trip in 12 hours. The speed of the boat, without the current, remains constant at 20 miles per hour what is the speed of the current.
Answer:
180 miles is answer
cuz it takes 80 miled to travel in 12 hours
Answer:
The speed of the current is 10 mph
Step-by-step explanation:
x= speed of the current
[tex]\frac{80}{20-x} + \frac{120}{20+x} = 12[/tex]
80 (20+x) + 120 (20-x) = 12 (20-x) (20+x)
x=10
WHAT IS THE AREA OF A RECTANGULAR GARDEN MEASURING 14 METRES BY 8.5 METRES
I need to finish this today! Please help!
Answer:
13 square inches
Step-by-step explanation:
Add both values for the area together to get your answer
small one is
1*1=1 square inch
large one is
4*3=12 square inches
Answer:
13
Step-by-step explanation:
area of the polygon = area of a rectangle +area of the square
area of the polygon = 3*4 +1*1 = 12+1 = 13 in²
Sorry for asking again but I need help ASAP I will give you
100 points and a brainiest
Answer: D. 10.200
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
pls help ill give u brainlest
Answer:
0.8 = is the proberbilty of getting an even number and a heads when you flip a coin
0.25 = is the proberbility of getting a 2 or 4 out of the bag including 1 - 8
0.5 = the probability of drawing a yellow and green marble
1 = the probability of drawing an even number or a number greater than 4
Im not really sure about the last one tho
Step-by-step explanation:
Answers please answer it and correct correct answer will get brainlest and please answer the rate and unit rate ? :))
Here is the final problem jaded
Answer:
x = 12.99
Step-by-step explanation:
Tan(33) = [tex]\frac{x}{20}[/tex]
Tan(33) * 20 = x
12.99 = x
Hope this helps!
100 POINTS!!!!!
What is the strength of the association between the two variables in the scatter plot? Select from the drop-down menu to correctly complete the statement.
weak
strong
Answer:
weak cuz theres no flow its just scattered everywhere
Step-by-step explanation:
Answer:
(Sorry im late) The answer is weak
Step-by-step explanation:
I think i remember taking the test:)
please i really need help with this
Tricia and Melanie are both saving money for their summer vacations. They both began saving at the same time. Tricia started with $10.25 and adds $5.15 to her savings every month. Melanie did not have a starting amount but adds $9.25 to her savings every month. Which equation could be used to determine how many months, m, it will take before Tricia and Melanie both have saved the same amount of money?
Group of answer choices
10.25m – 5.15 = 9.25m
10.25m + 5.15 = 9.25m
9.25m + 10.25 = 5.15m
5.15m + 10.25 = 9.25m
Answer:
5.15m + 10.25 = 9.25m
Step-by-step explanation:
Tricia's savings can be calculated with her beginning amount, $10.25, plus a rate of $5.15 that is multiplied by the number of months she saves up, m.
Or, 10.25 + 5.15m.
Melanie saves $9.25 for her vacation, times the months that she saves up, m.
Or, 9.25m.
These two equations are equal to each other at a certain value of m, so our equation is-
5.15m + 10.25 = 9.25m
I hope this helps ^^ Good luck mate
What does the term 9b represent
A,B,C,D
Answer:
(B) The cost to rent a bike
Answer: the cost to rent a bike
Step-by-step explanation:
Andrew picked vegetables from his garden and put them into bags.
He put 10 carrots into each of 3 bags, 8 tomatoes into each of 4 bags, and 6 turnips into each of 5 bags.
How many vegetables did he pick in all?
A. 24
B. 36
C. 92
D. 108
Which of the following has a slope of -2 and a y-intercept of 4?
• y= -2x + 4
• y= -2x - 4
• y= 2x + 4
• y= 2x - 4
For which of the following is x=-5 a solution? Select all that apply.
A) x+10=-5
B) -x^2+50=25
C) |2x|=10
D) x<0
E) 2x<10
Answer:
B
D
E
[tex]b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10[/tex]
Answer:
B and C
Step-by-step explanation:
Those 2 are the only ones that equal 5,-5
a) Work out the size of angle x.
b) Give reasons for your answer.
Answer:
x = 75°
Step-by-step explanation:
Angle x and the angle measure 105° are same-side exterior angles. Same-side exterior angles are supplementary. Supplementary angles are angles measures that add up to 180°. So 180° - 105° = 75°. x = 75°
Answer:
75
Step-by-step explanation:
180° - 105° = 75°. x = 75°
The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)4t. There are 50 bacteria present initially and a biologist wishes to find out how many hours will elapse until there are 10,000 bacteria present. What is the exact value for the number of hours elapsed, t, in the equation 10,000 = 50(10)4t?
Answer:
t = (log200)/4 hours
Step-by-step explanation:
10,000 = 50(10)^(4t)
Divide both sides by 50
200 = 10^(4t)
Take the log of both sides
log200 = 4t
Divide both sides by 4
(log200)/4 = t
t = (log200)/4 (exact answer)
t ≈ 0.575257498915995 (numeric approximation)
What is 4 27/50 as a decimal
Answer:
4.54
Step-by-step explanation:
40,000 mm = ? M plsssssssss help plsss plsss plss
Answer:
40 Meters
Step-by-step explanation:
What is the converse of the statement below?
“If today is Friday, then tomorrow is Saturday."
Answer:
C (Sorry if its incorrect)
Step-by-step explanation:
I believe its C
Becuase a converse is switching the hypothis and conclusion around