Answer:
a) 0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
b) 0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
If the order of the people chosen is important, we use the permutations formula. If the order is not important, we use the combinations formula.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(a) What is the probability that a random committee is made up of 2 women and 1 man?
Order is not important, so we use the combinations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = C_{6,2}*C_{5,1} = \frac{6!}{2!4!}*\frac{5!}{1!4!} = 15*5 = 75[/tex]
Total outcomes:
3 people from a set of 6 + 5 = 11. So
[tex]T = C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{75}{165} = 0.4545[/tex]
0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.
(b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?
Now, the order is important, which means that we use the permutations formula.
Desired outcomes:
2 women from a set of 6, and a men from a set of 5. So
[tex]D = P_{6,2}*P_{5,1} = \frac{6!}{4!}*\frac{5!}{4!} = 30*5 = 150[/tex]
Total outcomes:
3 people from a set of 11. So
[tex]T = P_{11,3} = \frac{11!}{8!} = 990[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{150}{990} = 0.1515[/tex]
0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man
arkadaşlar 81×56 kaç
Answer:
big
Step-by-step explanation:
pp
Answer:
4536
Step-by-step explanation:
Hesap makinesi kulan
Rewrite the polynomial as a product of the monomial and the polynomial. −15a^2bc+20ab^2c−25bc^3
Answer:
Step-by-step explanation:
15a²bc = 3·5·a²·b·c
20ab²c = 2²·5·a·b²·c
25bc³ = 5²·b·c³
greatest common factor: 5bc
(-15a²bc + 20ab²c - 25bc³)÷(5bc) = -3a² + 4ab - 5c²
-15a²bc + 20ab²c - 25bc³ = (-3a² + 4ab - 5c²)(5bc)
Tammy only has $550 of debt left. If Tammy were to pay off her debt completely today, how could you represent Tammy's situation as an equation? Who ever actually helps get brainliest.
Answer:
Step-by-step explanation:
If Tammy has $550 in debt, and she pays it off in one day, then the equation to represent her situation would look like this.
$550 - $550 = $0
Hope this helps!
Answer:If I let +t+=+0+ ( no months have passed )
+D%280%29+=+550+
-----------------
+t+=+1+
+D%281%29+=+550+-+.19%2A550+
+D%281%29+=+550%2A%28+1+-+.19+%29+
-------------------------
+t+=+2+
+D%282%29+=+550%2A%28+1+-+.19+%29+-+.19%2A%28+550%2A%28+1+-+.19+%29+%29+
+D%282%29+=+550%2A%28+1+-+.19+%29%2A%28+1+-+.19+%29+
+D%282%29+=+550%2A%28+1+-+.19+%29%5E2+
--------------------------
This pattern continues, so the general formula is:
+D%28t%29+=+550%2A%28+1+-+.19+%29%5Et+
+D%28t%29+=+550%2A.81%5Et+
I hope you see this. Each month 19% of the
PREVIOUS months balance gets subtracted.
Step-by-step explanation:
A + 1.05 = 3.7 plz help
Answer:
a=2.65
You just bring over the 1.05 to the 3.7, and just go on from there!
Hope this helps!
What is the slope-intercept form of the equation?
Answer:
y = 1/3x + 4/3
OR
y = 1/3x + 1 1/3
Hope this helps!! (Please give Brainliest if possible!!)
Given the linear function of 3x – 7y= 14, determine the ordered pair where the line
crosses the y axis. Remember to write your answer in form (x,y)
Answer:
(0, -2)
Step-by-step explanation:
Crosses the y-axis = find the y-intercept. Substitute x = 0 (if you draw a graph, you can see that the point where y crosses the y axis is always 0 for x) into the equation, and you get 3(0) - 7y = 14. Calculate, you get y = -2. Rewrite in coordinates form.
4(9x + 7) + 6(8 - x)
Answer:
2(15x+38) and if you simplify it it is 30x+76
Step-by-step explanation:
One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?
0.031
0.167
0.229
0.063
Answer:
0.031
Step-by-step explanation:
you have a 1/2 chance of rolling an even number and a 1/16 chance of rolling 16. when you multiply 1/2 by 1/16 you get 1/32 and after converting that to decimal you are left with: 0.031
The probability of rolling an even number on the six-sided die and rolling a 16 on the other die would be 0.031
What is Probability?Probability stands for the branch of mathematics involving numerical descriptions of how likely an event exists to occur, or how likely it stands that a proposition is true. The probability of an event e xists in a number between 0 and 1, where, roughly speaking, 0 demonstrates the impossibility of the event and 1 shows certainty.
chance of rolling an even number= 1/2
chance of rolling 16 =1/16
1/2 * 1/16 = 1/32 = 0.031
The probability of rolling an even number on the six-sided die and rolling a 16 on the other die would be 0.031
To learn more about Probability refer to:
https://brainly.com/question/13604758
#SPJ2
7. A pupil sat for a test in five subjects.
He got a total of 380 marks. How
many marks did he lose if every
subject was marked out of 100?
A. 280 B. 500
C. 120
D 220
Answer:
option C: 120
Step-by-step explanation:
total marks = 5× 100 = 500
marks he obtained = 380
marks he lost = 500 - 380 = 120
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
help and please explain will give brainliest
Answer:
2.83
Step-by-step explanation:
36 pi = pi×r×r×h
36=r×r×h
h= 4
36= r×r×4
8=r×r
[tex] \sqrt{8} = x[/tex]
r= 2.83
Find the area of the figure.
(Simplify Your Answer)
Answer:
7550 meter square
area of rectangle = Length x breadth= 130 x 20
= 2600 meter square
area of triangle = 1/2 x base x height
1/2 x (130-20)m x (130-40)m
1/2 x 110m x 90m
55 x 90
4950 metre square
area of rectangle + area of triangle
4950 + 2600
7550 meter square
A rectangular swimming pool measures 40 ft by 60 ft and is surrounded by a path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and the surrounding path is 248 ft. Determine the width of the path.
Answer:
6ft
Step-by-step explanation:
Lets x = the width of the path the surrounding path will add 2x to the pool dimension,therefore over all dimesion: (2x+40) by (2x+60) the overall perimeter (2x + 40) + 2(2x+60) = 248 Simplify divide by 2, result (2x+40) +(2x+60) = 124
Combine like terms 2x + 2x +40 +60 =124
4x + 100 = 124
4x=124 = 100
4x=24
x=24/4
x= 6ft is the width of the path
check this by finding the perimeter with these values; 2x = 12 ft
2 ( 12 + 40 ) + 2( 12 +60 )
2( 52 + 2(72)
104 + 144 = 248; confirms our solution of x= 6 ft
if f(x)=x+4 and g(x)=x^3 what is (g*f)(-3)
Step-by-step explanation:
g*f(x)=g(x+4)=(x+4)³
g*f(-3)=(-3+4)³
= 1³=1
GIVING BRAINLIEST Use the inequality 186< -3 (4x - 2).
a.Solve the inequality for x.
b. Which graph shows the solution to the inequality?
Answer:
x < -15
Step-by-step explanation:
I solved the inequality but i don't know if that was what you were asking for lol, if not sorry.
help meeeeee the choices and question is there :)
Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When the contestant picks a box, the chance of each box type for this round is as follows:
Type A: 75%, Type B: 20%, and Type C: 5%
The chance of drawing a red marble from Type A is 2%, from Type B is 25%, and from Type C is 98%.
The contestant selects a box and draws a marble. What is the chance of drawing a red marble? (Give the exact decimal answer.)
If the contestant does draw a red marble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places.)
Answer:
0.114
0.049
Step-by-step explanation:
For the boxes:
Type A - 75% = 0.75
Type B - 20% = 0.2
Type C - 5% = 0.05
For the marbles in each box:
Type A - 2% = 0.02
Type B - 20% = 0.25
Type C - 98% = 0.98
Then you can multiply the chance of drawing each box by the chance of drawing a red marble from that box and add all of those together:
0.75 * 0.02 + 0.2 * 0.25 + 0.05 * 0.98
= 0.015 + 0.05 + 0.049
= 0.114
The specific chance for box Type C is 0.05 * 0.98 = 0.049
Can someone help me with these 4 problems A B C D zoom in if needed this is urgent
Answer:
A is 13
B is 5
C is 0.25
And D is 4.58 or 4.6
Good Luck!
Answer:
A) 0.2 + 7.9 + 3.8 + 1.1 = 13
B) -5.6 + 5 + 4.6 + 1 = 5
C) 3 1/6 - 4 3/4 + 1 5/6 = 1/4
D) 2 1/12 + 3 1/6 - 1 1/12 = 4 1/6
Step-by-step explanation:
A) 0.2 + 3.8 = 4... 7.9 + 1.1 = 9... 4 + 9 = 13
B) 4.6 + 1 = 5.6... 5.6 - 5.6 = 0... 0 + 5 = 5
C) 3 1/6 + 1 5/6 = 5. 5 - 4 3/4 = 1/4
D) 2 1/12 - 1 1/12 = 1. 1 + 3 1/6 = 4 1/6
Sorry if the picture is scuffed. Pls help fast
Answer:
C
Step-by-step explanation:
the domain would be all positive real numbers, including zero
John's house is 10 miles from the grocery store. if a map uses a scale of 0.5 inches = 4 miles, how far apart, in inches, how far apart, in inches, would his house and grocery store be on the map?
Answer:
1.25 inches
Step-by-step explanation:
2 miles would be 0.25 inches. 8 miles would be 1 inch. 8+2 is 10, 1 + 1.25 is 1.25.
A total of 560 tickets were sold
They were either adult or Student
tickets. The number of student tickets
Sold was 3 times the number of
tickets. How many adult
tickets sold 2
Answer:
I think it's 70
Step-by-step explanation:
i did 560/2 and got 280 and then divided 280 by 4 and got 70
70 points! Mhanifa please help I don’t want to get this wrong :( thanks! Random answers will be reported !!
Answer:
Congruent pairs of triangles:
ΔABD ≅ ΔDCB
AB≅CD - given∠ABD ≅ ∠CDB - givenBD≅DB - common sideSAS - two sides and the included angleΔABD ≅ ΔEFD - SAS
AB≅EF - given∠ABD ≅ ∠EFD - given∠ADB ≅ ∠EDF - vertical anglesAAS - two angles and non-included sideBy using the above two we can state that:
ΔBDC ≅ ΔDFE - by ASA or SSS
because
BD ≅ DF (corresponding parts) AD ≅ BC (corresponding parts) AD ≅ ED (corresponding parts) and therefore BC ≅ EDWe can't prove that:
ΔAGD is congruent with any of the others as not enough informationThere is one side and one angle and we can' t get two angles or two sides with included angle. Maximum we can get is SSA which doesn't guarantee the congruence.
which is the graph of y - 3 = -2/3 (x+6)? PLEASE ANSWER QUICK IM TAKING A TIMED TEST
Answer:
the first graph
Step-by-step explanation:
the one with (0,-1) (-3,1) (3,-3)
Replace the ? With one of the following symbols
Answer:
C. 2 +3 = 4 + 1
Step-by-step explanation:
(6a + 5b + 4c) + (–6c + 15b) + (–8a)
Answer:
-2a + 20b - 2c
Step-by-step explanation:
(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a
= 6a - 8a + 5b + 15b + 4c - 6c
= -2a + 20b - 2c
Laurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50n + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurinda pay if she orders 8 boxes of cards?
Answer:
$55.00
Step-by-step explanation:
$6.50 (8) + $3 = $55.00
Based on what you've read, answer the following questions.
What number, when substituted for x in the following problem, will make the problem true?
6x + 8x = 10x
How can you insert two radical signs in the following problem to make it true?
5 = 4 + 4 + 4⁄4
Square the following numbers.
a. 4
b. 6
c. 13
d. 10
Cube the following numbers.
a. 1
b. 2
c. 4
d. 8
Rewrite the following exponential abbreviations as multiplication problems.
a. 22
b. 84
c. 123
d. 205
Write the following multiplications as exponential abbreviations.
a. 5 × 5
b. 7 × 7 × 7 × 7
c. 2 × 2 × 2
d. 9 × 9 × 9 × 9 × 9
Write the values of the following exponential abbreviations.
a. 33
b. 142
c. 125
d. 90
e. 44
f. 171
Rewrite each number using scientific notation.
a. 7,600
b. 23,400
c. 167,000
d. 2,000,000,000
Rewrite each scientific notation as a regular number.
a. 9.7 × 104
b. 7 × 105
c. 8.97 × 107
d. 3.2 × 1010
Find each of the following square roots. (Hint: All examples are perfect squares.)
a. √16
b. √169
c. √64
d. √400
ANSWER:
1.If you substitute the number 2 for x in the problem, you’ll make it true.
a.6x + 8x = 10x
b.62 + 82 = 102
c.36 + 64 = 100
d. 100 = 100
2. Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
3. a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
4. a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
5. a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
6. a. 52
b. 74
c. 23
d. 95
7. a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
8. a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
9. a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
10. a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400)
Answer:
If you substitute the number 2 for x in the problem, you’ll make it true.
6x + 8x = 10x
62 + 82 = 102
36 + 64 = 100
100 = 100
Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
a. 52
b. 74
c. 23
d. 95
a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400)
Step-by-step explanation:
pf
Answer:
1. If you substitute the number 2 for x in the problem, you’ll make it true.
6x + 8x = 10x
62 + 82 = 102
36 + 64 = 100
100 = 100
2. Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
3. a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
4. a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
5. a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
6. a. 52
b. 74
c. 23
d. 95
7. a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
8. a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
9. a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
10. a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400)
Step-by-step explanation:
Jerry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all
which equation can be used to find m, the number of marbles still needed to fill
the jar
273
1,000
1,000
1,000 1 273 m
1.000
Done >
Answer:
I would say that the answer is 1000=273+m
plantear y resolver:
un señor compró 15 cajas de libro para venderlos en su negocios. si cada caja trae 35 cajas:
a)¿ cuantos libros compro?
b)¿ cuantos gastó si cada caja costó $258 ?
..........................
Use the ratio table to solve the percent problem.
Part Whole
? | 75
40 | 100
What is 40% of 75?
Enter your answer in the box.
Answer:
9
Step-by-step explanation:
i dont know
if it right or wrong
Answer:
30
Step-by-step explanation:
I did the test i hope it helps brainlist plz :>
-lexi
I have to turn this in today!!! Please help me ASAP!
Answer:
D. 9/5
Step-by-step explanation:
27:15= 9:5
18:10= 9:5
Answer:
D) [tex]\frac{9}{5}[/tex]
Step-by-step explanation:
The scale factor between the shapes is 1.8 or 9/5 as a fraction.
Hope it helps!
