Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes. How many different outfits does Natalie have to choose from?
Answers
Answer:
Shirt A, Skirt A, Shoe A
Shirt A, Skirt A, Shoe B
Shirt A, Skirt B, Shoe A
Shirt A, Skirt B, Shoe B
Shirt A, Skirt C, Shoe A
Shirt A, Skirt C, Shoe B
The number of ways Natalie has to choose outfits for her first day school is 28 ways.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Given that, Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes.
Let 7 pairs of pants be P1, P2, P3, P4, P5, P6 and P7.
Let 2 t-shirts be T1 and T2
Let 2 pairs of shoes be S1 and S2
Now,
1) P1, T1, S1
2) P1, T2, S2
3) P2, T1, S1
4) P2, T2, S2
5) P3, T1, S1
6) P3, T2, S2
7) P4, T1, S1
8) P4, T2, S2
9) P5, T1, S1
10) P5, T2, S2
11) P6, T1, S1
12) P6, T2, S2
13) P7, T1, S1
14) P7, T2, S2
15) P1, T1, S2
16) P1, T2, S1
17) P2, T1, S2
18) P2, T2, S1
19) P3, T1, S2
20) P3, T2, S1
21) P4, T1, S2
22) P4, T2, S1
23) P5, T1, S2
24) P5, T2, S1
25) P6, T1, S2
26) P6, T2, S1
27) P7, T1, S2
28) P7, T2, S1
Other way = 7×2×2
= 28 ways
Therefore, the number of ways is 28 ways.
To learn more about the permutation visit:
https://brainly.com/question/3867157.
#SPJ3
Related Questions
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Answers
Answer:
ATP - product, energy for all cells
Glucose - reactant, a carbohydrate
Oxygen - gas animals breathe in
Water - product, liquid
CO2 - gas animals breathe out
Step-by-step explanation:
trust me i learnt this concept
Answer:
atp = energy for the cell
glucose = a carbohydrate
water = liquid
oxygen = gas animals breathe in
carbon dioxide = gas animals breathe out
Step-by-step explanation:
find the volume and surface area of each solid. you may use a calculator and use 3.14 as an approximation for pi
Answers
Answer:
Area = 452.16 cm²
Volume = 904.32 cm³
Step-by-step explanation:
The solid is a sphere, therefore,
Volume = ⁴/3πr³
Where,
π = 3.14
r = 6 cm
Volume = ⁴/3*3.14*6³
Volume = 904.319997 ≈ 904.32 cm³ (nearest hundredth)
Area = 4πr²
Area = 4*3.14*6²
Area = 452.16 cm²
pair of
onding angles.
2. WHICH ONE DOESN'T BELONG? 2-6
Answers
Answer:
2. Measure 5
3. lines m and n are parallel
4. line t is transversal
5. 8 angles are formed by transversal
6. 1, 3, 5, 7 are congruent. 2, 4, 6, 8 are congruent.
Angie is creating a stained glass windowpane that will be 5 inches by 6 inches. To make the
rectangular windowpane, Angie fuses together two triangles of colored glass. What is the
perimeter of one triangle? If necessary, round to the nearest tenth.
inches
Answers
Answer:
The perimeter of a triangle is equal to 18.81 inches.
Step-by-step explanation:
Since Angie is creating a stained glass windowpane that will be 5 inches by 6 inches, and to make the rectangular windowpane, she fuses together two triangles of colored glass, to determine what is the perimeter of one triangle the following calculation must be performed, taking into account that the Pythagorean theorem must be applied:
5 ^ 2 + 6 ^ 2 = X ^ 2
25 + 36 = X ^ 2
√61 = X
7.81 = X
5 + 6 + 7.81 = X
11 + 7.81 = X
18.81 = X
Therefore, the perimeter of a triangle is equal to 18.81 inches.
6=24(x+1)^2 what is the answer simplified
Answers
Answer:
hi can i fu k u
Step-by-step explanation:
The answer is:
-0.5, -1.5
Using distributive property write 42+63
Answers
Answer:
7(6+9)
Step-by-step explanation:
What is the volume of a rectangular prism with the demensions: base 7 /2 cm, height 3 /2 cm, and length 9 /2 cm
Answers
Answer:
189/8 cm^3
Step-by-step explanation:
Given data
Base= 7/2 cm
Hieght= 3/2cm
Length= 9/2cm
We know that the expression for volume is
Volume = L*B*H
substitute our data
Volume= 7/2*3/2*9/2
Volume= 189/8 cm^3
Hence the volume is 189/8 cm^3
Select all possible solutions for 2x + 7 ≤ 3x - 5.
Answers
Answer:
12 ≤ x
Step-by-step explanation:
2x+7 ≤ 3x-5
7+5 ≤ 3x-2x
12 ≤ x
!! IMPORTANT !!
Is it me or have i've been recently getting: "Explanation is in a file
or something like that in all of my questions I ask in brainly. its driving me crazy
:/
Answers
Answer:
Same
Step-by-step explanation:
I have been getting that too, its annoying bc I can't download it :(
Which graphs are proportional?
A.
B.
C.
D.
Answers
Answer: Hello, There! your Answer is Below
C And D Are your Answer
Step-by-step explanation:
Hope this Helps you !!!
Have a great day!!!
pls help me find the missing dimension
Answers
Answer:
4
Step-by-step explanation:
2 times 3 times ?
=4
CAN YOU GUYS HELP ME FOR #10
Answers
Answer:
31
Step-by-step explanation:
Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a random sample of 30 results from the 1,420 total games that have been played to construct a confidence interval estimate of p, the proportion of SCRABBLE games between her and her sister that she has won. Her 95% confidence interval estimate of p is LCL = 0.36, UCL = 0.69.
A 95% confidence interval estimate of the total number of games sister A has won out of the 1,450 games that have been played is LCL =___________ and UCL = ___________
The Illinois State Toll Highway Authority is conducting a study to estimate the proportion of low-income commuters who drive to work on a toll road. The project manager wants to estimate the proportion to within 0.03 with 95% confidence, and the project manager believes that p will turn out to be approximately 0.11.
A sample size no smaller than __________ is needed.
Answers
Answer:
First question: LCL = 522, UCL = 1000.5
Second question: A sample size no smaller than 418 is needed.
Step-by-step explanation:
First question:
Lower bound:
0.36 of 1450. So
0.36*1450 = 522
Upper bound:
0.69 of 1450. So
0.69*1450 = 1000.5
LCL = 522, UCL = 1000.5
Second question:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The project manager believes that p will turn out to be approximately 0.11.
This means that [tex]\pi = 0.11[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The project manager wants to estimate the proportion to within 0.03
This means that the sample size needed is given by n, and n is found when M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2[/tex]
[tex]n = 417.9[/tex]
Rounding up
A sample size no smaller than 418 is needed.
22, 17. 12, 7... O Arithmetic
O Geometric
O Neither
Answers
Arithmetic means that the numbers are increased or decreased by the same number each time. This does not include multiplication.
And since all of these are subtracted by 5, it would be Arithmetic.
Write 9/5 as a decimal number.
Answers
Answer:
1.8
Step-by-step explanation:
you have to divide 9 from 5 to get 1.8
Answer:
Decimal 1.8
Percentage 180%
Step-by-step explanation:
A helicopter is 2,500 feet above sea level. A pirate ship sunk with buried
treasure off the coast of Florida 125 years ago. It's depth is 3,000 feet
below the helicopter. How many feet below sea level is the pirate ship?
Answers
Answer:
500 feet below sea level
Step-by-step explanation:
You would take 2,500 and subtract 3,000 feet giving you an answer of -500 feet. Which means it is 500 feet below sea level
diffrentiate Insin³x
Answers
Step-by-step explanation:
ln((sin(x))^3)'
Chen Lu
= (((sin(x))^3)' / (sin(x))^3
Chen Lu
=(3sin²(x)cos(x)/ (sin(x))^3
= 3cos(x)/sin(x)
=3cot(x)
Anyone know wat 792 divided by 5 is?
Answers
Answer:
158.4 i think
Step-by-step explanation:
What is the answer no link no links I will report the answer is not 70%
Answers
Answer:
75%
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
In a box-and-whisker plot, the whiskers show the minimum and maximum while the edges of the box show the first and third quartiles. The line in the box shows the median.
Quartile means a quarter of the data.
We're trying to find out what percentage of the students scored between 70 and 100.
70 is right on the 1st quartile mark, while 100 is on the maximum mark.
This means that a quarter of students got lower than 70, and nobody scored over 100 (because it's a test and it's calculated in percentage).
If a quarter of students got lower than 70, that means three-quarters of students got 70 or higher. And since the maximum is 100, and that is also what we're trying to find, the answer is 3/4 of all students.
3/4 = 75%
Hence, the answer is 75%.
Find the volume of the following figures with the given dimension
Answers
Answer:
[tex]V=192\ in^3[/tex]
Step-by-step explanation:
Given that,
The area of base, A = 24 in²
The height of the pyramid, h = 8 in
We need to find the volume of the following figure.
The volume of pyramid is given by :
[tex]V=A\times h[/tex]
Substitute all the values,
[tex]V=24\times 8\\\\=192\ in^3[/tex]
So, the volume of the pyramid is equal to [tex]192\ in^3[/tex].
Can someone please help me I will mark u brilliant
Answers
Answer:
The volume is : 63
Step-by-step explanation:
Volume = Length x width x height
The volume for this rectangular prism is : 8 x 2 1/4 x 3 1/2 which equals 63
Answer:
C, 63 cm cubed
Step-by-step explanation:
To the the volume of a rectangular prism you do this equation: l x w x h = v
fill in the measurements:
8 x 2.25 x 3.5 = 63
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
angle klj and angle poq :)
Step-by-step explanation:
Using the Substitution Method, find the value of y in the below system of equations?
-2y = 4x – 4
7x = -4y + 10
Answers
Answer:
y = 6
Step-by-step explanation:
-2y = 4x – 4
y = -2x + 2
7x = -4(-2x+2) + 10
7x = 8x-8+10
7x = 8x+2
7x -2 = 8x
-2 = x
plug this into the first equation and the value of y is 6
The value of y using substitution method on the given simultaneous equations is; y = -2
We are given the equations;
-2y = 4x - 4 - - -(eq 1)
7x = - 4y + 10 - - - (eq 2)
From eq 1, divide through by -2 to isolate y;
y = -2x + 2
Substitute -2x + 2 for y in eq 2 to get;
7x = -4( -2x + 2) +10
Expand the bracket to get;
7x = 8x - 8 + 10
7x = 8x + 2
8x - 7x = 2
x = 2
Put 2 for x in y = -2x + 2 to get;
y = - 2(2) + 2
y = -4 + 2
y = -2
Read more about substitution method at; https://brainly.com/question/16863577
Andre swims 5 laps in just 4 minutes, if Andre swam 22 laps, how many minutes did it take him? Please I need answer as fast as you can type. This answer is worth 200% of my grade, it could make me go from A to a literal Z
Answers
Answer: 17.6 minutes
Step-by-step explanation: im not sure if u can use decimals tho
Is -5>2 true or false explain your answer
Answers
Answer:
It's false
Step-by-step explanation:
it's false because the number that is closer to 0 is the greater number so it would be 2> -5
Find the value of X in the triangle shown below. X° 112° 19°
Answers
112+19= 131 which means 180-131 is 49
can someone plz help no links plz
Answers
Then we move to the parenthesis and do 4^2 second
That gives us 16 and since we are still in the parenthesis we subtract 16-13 next
Now we work from left to right so we do
8(3) next
Then 24 divided by three
Then 4(3)
Then last we add 33+12
The chamber of commerce for a beach town asked a random sample of city-dwellers, "Would you like to live at the beach?” Based on this survey, the 95% confidence interval for the population proportion of city-dwellers who would like to live at the beach is (0.56, 0.62).
Based on this poll, a chamber of commerce member claims that more than half of city-dwellers would prefer to live at the beach.
Use the confidence interval to evaluate this claim and select the true statement.
Yes, it is reasonable to assume this because all reasonable values in the confidence interval are greater than 0.50.
We cannot determine this without taking a census of all city-dwellers.
No, it is not reasonable to assume this because another 95% confidence interval might not be entirely above 0.50.
No, it is not reasonable to assume this because there are only two choices and the proportion of city-dwellers who should prefer either is exactly 0.50, not more than 0.50.
ITS A!!!!
Answers
Answer:
Ummm... ya its a becasue 95 is more then 50 (brainlest plzzzzzzzzzzzzzz)
Step-by-step explanation:
Answer:
A.Yes, it is reasonable to assume this because all reasonable values in the confidence interval are greater than 0.50.
Step-by-step explanation:
what is the radius of 34.54
Answers
Answer:
If 34.54 is the diameter then 17.27 is the radius
Step-by-step explanation:
34.54 ÷ 2 = 17.27
If AB = 10 and AC=7 , find m B. Round to the nearest tenth of a degree.
Answers
I got 9.379
bru-h it's making me type more