The total number of ways a girl can choose a two-piece outfit from 9 blouses and 8 skirts is 72.
What is permutation?Permutation is a mathematical calculation of the number of ways a particular set can be arranged, where order of the arrangement matters.
Permutation Formula[tex]^{n} P_{r} = \frac{P!}{(n-r)!}[/tex]
Where,
[tex]^{n}P_{r}[/tex] is permutation
n is the number of objects
r is the number of objects selected.
According to the given question.
Total number of blouses = 9
Total number of skirts = 8
So,
the number of ways of choosing one blouse from 8
=[tex]^{8} P_{1}[/tex]
= [tex]\frac{8!}{(8-1)!} \\[/tex]
= [tex]\frac{8!}{7!}[/tex]
= [tex]\frac{8\times 7!}{7!}[/tex]
= [tex]8[/tex]
And the number of ways of choosing one skirt from 9
[tex]^{9} P_{1} \\= \frac{9!}{(9-1)!} \\= \frac{9\times 8!}{8!} \\=9[/tex]
Therefore,
The total number of ways of choosing two piece outfit from 9 blouses and 8 skirts
= [tex]^{8} P_{1} \times ^{9} P_{1}[/tex]
= [tex]8 \times 9[/tex]
[tex]= 72[/tex]
Hence, the total number of ways a girl can choose a two-piece outfit from 9 blouses and 8 skirts is 72.
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Find the distance between A(-4,4) and B(-2,2). Round your answer to the nearest tenth.
Answer:
6.3
Step-by-step explanation:
solve log2 base x + log4 base x + log8 base x = 12 ?
Answer:
Step-by-step explanation:
write 1234 base 5 in powers of 5.
Answer:
Step-by-step explanation:
613 = 4x125 + 113 = 4x53 + 113
Hence the first digit (reading left to right) is a 4.
The remainder is 113 so how many 25's are there in 113?
113/25 = 4 with a remainder of 13
Thus
613 = 4x125 + 4x25 + 13 = 4x53 + 4x52 + 13
Hence the second digit (reading left to right) is also a 4.
The remainder is 13 so how many 5's are there in 13?
13/5 = 2 with a remainder of 3
Thus
613 = 4x125 + 4x25 + 2x5 + 3 = 4x53 + 4x52 + 2x5 + 3
Hence the third digit (reading left to right) is a 2 and the units digit is 3. Therefore
613 written in base 5 is 4423
example
In a figure, D and E are points on side BC of a△ ABC such that BD = CE and AD = AE. Show that △ABD ≅ △ACE
Step-by-step explanation:
AD=AE
BD=EC
D=E
....ABD=ACE
please help me with this sum
Step-by-step explanation:
2667
1884
1953
782
2046
3105
8559
5368
963
3367
Answer:
381 x 7 = 2667
471 x 4 = 1884
651 x 3 = 1971
391 x 3 = 1173
341 x 6 = 2046
Hope its help full
please help
with this question
Answer:
its
Step-by-step explanation:
A is what my brother said
the rice field land preparation can be completed by 8 farmers in 25 days. if 7 more farmers join the team 5 days after starting work on the job,how many more days are needed to complete the job?
Answer:
1.8 if its wrong im sorry
Step-by-step explanation:
Regular consumption of presweetened cereals contributes to tooth decay, heart disease, and other degenerative diseases, according to studies conducted by Dr. W. H. Bowen of the National Institute of Health and Dr. J. Yudben, Professor of Nutrition and Dietetics at the University of London. In a random sample consisting of 20 similar single servings of Alpha-Bits, the average sugar content was 11.3 grams with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, construct a 95% confidence interval for the mean sugar content for single servings of Alpha-Bits.
Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).
In this problem, we have that:
Sample of 20, thus [tex]n = 20[/tex].Sample mean of 11.3 grams, thus [tex]\overline{x} = 11.3[/tex].Sample standard deviation of 2.45 grams, thus [tex]s = 2.45[/tex].The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.
Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.
Then:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45[/tex]
The interval is (10.15, 12.45).
A similar problem is given at https://brainly.com/question/24232455
What is the unit rate of 124 pages and 2 hours
Answer:
62 pages per hour.
Step-by-step explanation:
Divide 124 ÷ 2.
I NEED HELP WITH THIS PLSSS
Answer:
B
Step-by-step explanation:
I'm just hungrey ahhaahhaahhahahahahahahahahahahhahahahahahahahahahhahahahahagahaha
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x2 + 16
g of x equals the square root of the quantity 5 x cubed
Answer:
f(g(x)) = 15x3 + 16
Step-by-step explanation:
help me guys I don't get it ?
Answer:
[tex]x =[/tex] [tex]-30[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation, then isolating the variable.
round to the nearest ten 7096.88
Simplify 5-(6a-3b-8)
Answer:
Step-by-step explanation:
5- (6a-3b-8) BODMAS
-30a-15b-40
The temperature dropped 3 °F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?
Answer:
18 °F
Step-by-step explanation:
Simply multiply 3 and 6
One hour is 3 °F
Two hours is 6 °F
Three hours is 9 °F
Four hours is 12 °F
Five hours is 15 °F
Six hours is 18°F
Please help!!! Me 20 points
Answer:
shade 20 squares
Step-by-step explanation:
What your going to think about is there is going to be 4 5's so 4 x 5 is 20
Answer:
I saw the other persons work and I also believe the answer is 20.
Step-by-step explanation:
By multiplying the dividend from the graph.
If AB= 4 units and DC=4 units , what is the length of BC
Answer:
sqrt(2)
Step-by-step explanation:
bd=ab/2=2
=> bc=qrt(bd^2+dc^2)=sqrt(4+16)=2sqrt(5)
8.70 divided by 0.46
Answer:
18.91304348
Step-by-step explanation:
Just divide it and you get the answer. When you divide something by a decimal, it acts more like multiplying and less like dividing lol (cuz the answer is bigger than the other 2 numbers)
. . .Factor 2x2 + x - 1
Answer:
(2−1)(+1)
Step-by-step explanation:
22+−12x^{2}+{\color{#c92786}{x}}-12x2+x−122+2−−1
Anyone know this im stuck on it.
Answer:
I believe the answer is C
Step-by-step explanation:
Answer:
A vertical line at a specific x-value of the domain will intersect the graph of a relation at each y-value in the range that
the x-value is mapped to by the relation. If even one such line has more than one intersection, then one input has two
or more outputs and the relation is not a function.
Happy to Help And brainliest please... I do this all the times sense I'm a honors student, let me know if you need help!
Step-by-step explanation:
In 1950, scientist estimated a certain animal population in a particular geographical area to be 6400 in 2000, the population had risen to 7200. If this animal population experiences the same % increase over the next 50yrs what will be approximate population be?
Answer:
8,100
Step-by-step explanation:
7,200 - 6,400 = 800 increased in 50. Years
What percentage is 800 of 6,400 (%/100 = is/of)
x/100 = 800/6400 (cross multiply)
(800*100)/6400 = 12.50%
(12.50 * 7200)/100 = 900 increased
7,200 + 900 = 8,100
Whats the answer? ( BRANLIEST )
Answer:
1/6a - 1/6
Step-by-step explanation:
-2/3a + 5/6a can be simplified:
1. Make a common denominator → -4/6a + 5/6a
2. Simplify '-4/6a + 5/6a' → 1/6a
Answer:
1/6a - 1/6
Answer:
[tex] - \frac{1}{6} (a +1 ) \\ [/tex]
Step-by-step explanation:
[tex] - \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6} \\ - \frac{2 \times 2}{3 \times 2}a + \frac{5}{6} a - \frac{1}{6} \\ - \frac{4a + 5a}{6} - \frac{1}{6} \\ - \frac{1}{6} a - \frac{1}{6} \\ - \frac{1}{6} (a + 1) \\ [/tex]
Please help! Will give brainliest if the answer is correct
Answer:
18+18√3
Step-by-step explanation:
We know that ,
Perimeter = 2(l + b)On substituting ,
P = 2 ( l + b ) P = 2 ( 2 + 5√3 + 7 + 4√3 ) P = 2 ( 9 + √3(5+4)) P = 2 ( 9 + 9√3) P = 18 + 18√3What is the slope of 3x+4y=−2?
Answer:
[tex]3x + 4y = - 2 \\ 4y = - 3x - 2) \div 4 \\ y = - \frac{3}{4} x - \frac{1}{2} \\ \boxed{ m = - \frac{3}{4}}[/tex]
The radius of a circle is 3 yards. What is the circle's circumference?
Hello there! The formula for finding the circumference of a circle is
[tex]C=\pi d[/tex]
We are given that the radius is 3.
Don't worry! We can find the diameter. The diameter is 2 times the radius, so the diameter is 6 yards.
Now multiply π by 6:
C=18.8 yards
Hope this helps you! Please mark Brainliest if it does!
~Just a joyful teen
[tex]SilentNature[/tex]
marked at a regular price of $20. What is the percent decrease in the price
A pair of sunglasses is on sale for $17. Last week, the sunglasses were
of the
sunglasses?
Answer:
15%
Step-by-step explanation:
20-17 = 3
What percent is 3 of 20?
X/100 = 3/20 (cross multiply)
(3*100) / 20 = 15%
It was -12 degrees Fahrenheit last night. The weatherman predicts that it will be 25 degrees warmer by noon. What will the temperature be by noon?
Answer:
-12 + 25 = 13 degrees
Step-by-step explanation:
Since it was -12 degrees you have to add the 25 degrees since it would be warmer.
Answer:
13 degrees Fahrenheit
Step-by-step explanation:
Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a Joker, the casino logo, and various dollar amounts, as shown in the table at the top of the next column. Players may bet on the Joker, the casino logo, or one or more dollar denominations. The wheel is spun and if the wheel stops on the same place as the player's bet, the player wins that amount for each dollar bet.
If a player bets $2 on the $5 denomination, find the player's expectation. (Round your answer to two decimal places.)
Creating a discrete probability distribution table based on the possible outcomes of the game. The player's expectation is $8.44
Player's bet number = $5 Bet amount = $2 Winning = $2 × $5 = $10Probability that wheel stops on $5:
Probability = required outcome / Total possible outcomesP(stops on $5) = 7/54 =
Hence, probability of not winning = 1 - 7/54 = 47/54
X :____ - 2 _____ 10
P(X) : _ 47/54 ___ 7/54
Expectation or Expected value :
E(X) = (-2 × 7/54) + (10 × 47/54)
E(X) = $8.44
Therefore, the player's expectation is $8.44
Learn more :https://brainly.com/question/25291774
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
-5 -5
-3 -5
-5 -3
-3 3
Answer:
(-3,-5) .............................
Help needed. 5x+8 6x+8 and 82 ……..
Answer:
x=6
Step-by-step explanation:
a triangle is 180º total
a line is also 180º total
180-82=98
5x+8+6x+8+98=180
11x+114=180
11x=66
x=6