Answer:
1) 4/35
2) 11/14
3) 5/6
Step-by-step explanation:
First find the number of selections possible.
[tex]\frac{10!}{(10-4)!4!} = 210[/tex]
There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.
[tex]4*3*2*1=24[/tex]
The probability for each member to get selected from each kind is : [tex]24/210[/tex] or can be simplified to [tex]4/35[/tex].
The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.
Find the probability for both a administrator included and three others.
[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]
[tex]\frac{165}{210} = \frac{11}{14}[/tex]
The probability for an administrator and the other three is 165/210 or 11/14.
For the last one, you will figure out what the probability is for no director and use that % to substract from 100.
4+2+1 = 7
Get selections possible.
[tex]\frac{7!}{(7-4)!4!} = 35[/tex]
Get probability of no director.
[tex]\frac{35}{210} = \frac{1}{6}[/tex]
Substract 1/6 from 100%
1 - 1/6 = 5/6
The probability of having at least one director is 5/6.
hi my question is what is 72x13
Answer:
936
7 2
× 1 3
2
2 1 6
7 2 0
9 3 6
Brainleist?
PLEASEE HELP ITS DUE TODAY
Answer:
43.44 for the first one
16 cats from the second one
496 for the third one
Step-by-step explanation:
Answer:
a. 43.44
b. 16
c. 496
Step-by-step explanation:
a. (14.48) x 3= 43.44
b. 25% of 64= 16
c. 31 x 16= 496
Explain what needs to be fixed.
2n + 10 = -2
2n = 12 Step one
n = 6 Step two
Answer:
step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.
Step-by-step explanation:
STEP 1: Move all terms not containing n to the right side of the equation.
[tex]2n=-12[/tex]
STEP 2: Divide each term by 2 and simplify.
[tex]n=-6[/tex]
HELP PLEASE NEED HELP ASAP!!
Find the length of side x in simplest radical form with a rational denominator
Answer:
4
Step-by-step explanation:
that is what i think it is i am almost positive
in a company, 40% of the workers are women. If 1380 woman work for the company, how many total workers are there?
Answer:
Step-by-step explanation:
The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:
(remember that the word "of" generally means to multiply)
(also remember that we have to use the decimal form of a percent in an equation)
.40(x) = 1380 then divide to get the number of total workers:
x = 3450
What does a cluster tell you about the data on a scatter plot?
Answer:
it all depends on where it is if it is in the middle you do not have enough information to determine if it is increasing or decreasing
Step-by-step explanation:
Easy points
Before you answer this question try and rotate your foot clockwise and write the number six. Hard right.
Math question now.
When I am 6 my brother is half my age. How old will my brother be when I am 70?
Answer:
35
Step-by-step explanation:
*I'm just gonna answer this*
When you are 70, your brother will be 67.
If you were six, and he was half of that, he was three, meaning he was 3 years younger than you.
kevin has a ratio of 2 wrong answers to 7 correct answers on his math test. If he got 6 questions ewrong then how many did he answr correctly
Answer:
21 questions
Step-by-step explanation:
Given
[tex]Wrong : Right = 2:7[/tex]
Required
Determine the number of correct answers if he answered 6 wrongly
The required ratio can be represented as:
[tex]Wrong : Right = 6 : X[/tex]
Where X represents number of right answers for 6 wrong answers.
Next, we equate both ratios:
[tex]6:X = 2:7[/tex]
Convert to fraction
[tex]\frac{6}{X} = \frac{2}{7}[/tex]
Cross Multiply
[tex]X * 2 = 6 * 7[/tex]
[tex]2X = 42[/tex]
Divide through by 2
[tex]X = 21[/tex]
Hence, he answered 21 correctly
3. Sam and Tim each have savings accounts. Every month they each put in some of their
earnings from mowing lawns. Use the tables to find the y-value of the solution to the
system shown.
х
1
2
3
4
f(x)
80
110
140
170
х
1
2
3
4
g(x)
100
120
140
160
Answer:
[tex]y = 30x +50[/tex] --- Sam
[tex]y = 20x +80[/tex] --- Tim
Step-by-step explanation:
Given
Sam Tim
х --- f(x) --------------- g(x)
1 --- 80 --------------- 100
2 --- 110 --------------- 120
3 --- 140 --------------- 140
4 --- 170 -------------- 160
Required
Determine the y value
y value implies the equation of the table
Calculating the equation of Sam
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,80)[/tex]
[tex](x_2,y_2) = (4,170)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{170 - 80}{4 - 1}[/tex]
[tex]m = \frac{90}{3}[/tex]
[tex]m = 30[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 80 = 30(x - 1)[/tex]
[tex]y - 80 = 30x - 30[/tex]
Make y the subject
[tex]y = 30x - 30 + 80[/tex]
[tex]y = 30x +50[/tex]
Calculating the equation of Tim
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,100)[/tex]
[tex](x_2,y_2) = (4,160)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{160 - 100}{4 - 1}[/tex]
[tex]m = \frac{60}{3}[/tex]
[tex]m = 20[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 100 = 20(x - 1)[/tex]
[tex]y - 100 = 20x - 20[/tex]
Make y the subject
[tex]y = 20x - 20+100[/tex]
[tex]y = 20x +80[/tex]
Find the slope of the line (-4,4) (-3,-2)
Solve for x.
(9x – 16)+(3x + 11)+(7x – 5)=180
Answer:
10
Step-by-step explanation:
See the picture attached.
Cliff's Rentals rents out jet skis. The hourly charge is $50. Marcus rented a jet ski for 3 hours and paid $165.
Which equation can be used to determine the price, P, for h hours? Pls help me
Answer:
50h + 3 = 165P
Step-by-step explanation:
If 6a=5b what are the following ratios?Please show your work
a+b/b
I give brainliest to first person.
Answer:
5b-5
Step-by-step explanation:
Replace a with a=5/6 * b
. Jordan is inviting 8 friends to his party. He wants to give each friend 2 maracas and have 2 for himself. Maracas come in boxes of 6. How many boxes does he need to buy? +
Answer:
3 boxes of maracas
Step-by-step explanation:
9 x 2 = 18
18 ÷ 6 = 3 boxes of maracas
Answer:
He needs to get three boxes.
Step-by-step explanation:
We know that he wants two, we know that he has eight friends coming. He wants two maracas per friend. To find the total number of maracas you must multiply the amount of friends by the amount of maracas.
8 * 2= 16
You add the two maracas for himself to find the total maracas needed.
16+2= 18
Next you divide the amount of maracas needed by six because the are six maracas per box.
18÷6=3
The total number of boxes needed is three
What’s 4/5 divided by 3
Answer:
[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
remember when dividing with fractions, you are multiplying by the reciprocal.
this means
[tex]\frac{4}{5} \div3=\frac{4}{5}*\frac{1}{3}=\frac{4}{15}[/tex]
Answer:
the answer is 0.26 it was originally 0.26666666666 which is repetition so I lowered it down to .26
A salesperson at a jewelry store earns 3% commission each week. Last week, Heidi sold $750
worth of jewelry. How much did she make in commission? How much did the jewelry store make
from her sales?
Heidi earned $ in commission.
whats 13 divided by 8 as a mixed number
Answer:
the answer would be 13/8
13 divided by 8 can be written [tex]1\dfrac{5}{8}[/tex] as a mixed number.
The division is a mathematical operation that contains decoupling a quantity or number into equal proportions. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to get the quotient.
13 can be split as follows:
13 = 1 × 8 + 5.
It is evident that when 13 is divided by 8, it gives 1 as a quotient and the remainder is 5.
Thus, the fraction [tex]\frac{13}{8}[/tex] in the mixed form is [tex]1\dfrac{5}{8}[/tex].
Learn more about Division here:
https://brainly.com/question/2273245
#SPJ6
I NEED THIS ASAP I HAVE TROUBLE WITH IT PLEASEEEEEEEEEEE!!!!!!!!
WORTH 11 POINTS !!!!!!!!! IT IS ALL I HAVE SRRY BBY
SHOW ALL WORK FOR EXTRA POINTS PLSSSSSSS!!!!!!!
Judy earns $11.80 per hour working at a fast food restaurant . How much money
will she earn for 12.5 hours of work?
Answer:
$147.50
Step-by-step explanation:
all you have to do is multiply the two numbers together
Evaluate
Please help
Answer:
27
Step-by-step explanation:
3x3x3=9; if you break it apart, 3x3= 9, then multiply that by the last 3, which will give you 27.
Hope that helped!
What is the origin and where is it located?
Answer:
the origin is where the graph starts which is located at 0,0
Step-by-step explanation:
Work out the problem -5-8
-13
Answer:
since 5+8 is 13 and there's a '-' in the five than it's-13
Find the inverse: f(x) = -3 -4/3 x
Answer:
3+4/3x
Step-by-step explanation:
Ingrid collect 6 cans of food and 18 boxes of food for the food bank.Which describes the relationship between cans of food and boxes of food
Answer:
Ingrid collected 3 times as many boxes as she did cans
Step-by-step explanation:
the area of square field is 5184 square meter find the area rectangular Field whose perimeter is equal to the perimeter of square field and whose length is twice of its breadth
Answer:1296 if I’m not wrong please
Step-by-step explanation:
Step-by-step explanation:
Appropriate Question :
The area of square field is 5184m². Find the area of the rectangular field whose perimeter is equal to the perimeter of square field and whose length is twice of its breadth.[tex] \frak{\red{Given}} \begin{cases} & \sf {Area\ of\ the\ square\ field\ is\ 5184m^2.} \\ & \sf {Perimeter\ of\ rectangular\ field\ is\ equal\ to\ perimeter\ of\ square\ field.} \\ & \sf {Length\ of\ the\ rectangular\ field\ is\ twice\ to\ the\ breadth\ of\ the\ square\ field.} \end{cases}[/tex]
Need to find : We have to find the area of the rectangular field.
We are given the area of the square field, that is 5184m². So firstly, let us find out the side of the square field.Let the side of the square field be a.
SidE :-
a² = 5184m²a = √5184ma = 2 × 2 × 2 × 9a = 72m∴ Hence, the side of the square field is 72m. Now, let's find out the perimeter of square.
⠀⠀⠀⠀⠀━━━━━━━─━━━━━━━
[tex] \red \bigstar \sf{\underline{Finding\ perimeter\ of\ square:-}} [/tex]
[tex] \sf \dashrightarrow {Perimeter\ of\ square\ =\ 4a} \\ \\ \sf \dashrightarrow {4 \times 72} \\ \\ \dashrightarrow {\underline{\boxed{\purple{\frak{288m}}}}} [/tex]
∴ Hence, the perimeter of the square field is 288m. Now, let us find out the length and breadth of the rectangular field.
⠀⠀⠀⠀⠀━━━━━━━─━━━━━━━
Since, it is given that perimeter of the rectangular field is equal to the perimeter of square field. Also, the length of the rectangular field is twice the breadth of the square field.[tex] \sf : \implies {Perimeter\ of\ rectangle\ =\ Perimeter\ of\ square} \\ \\ \sf : \implies {2(l\ +\ b)\ =\ 288} \\ \\ \sf : \implies {2(2b\ +\ b)\ =\ 288} \\ \\ \sf : \implies {4b\ +\ 2b\ =\ 288} \\ \\ \sf : \implies {6b\ =\ 288} \\ \\ \sf : \implies {b\ =\ \dfrac{\cancel{288}}{\cancel{6}}} \\ \\ : \implies {\underline{\boxed{\purple{\frak{b\ =\ 48m}}}}} [/tex]
∴ Hence, breadth of the rectangular field is 48m. Now, let's find out the length of the rectangular field.
LengtH :-
2(48)2 × 4896m∴ Hence, the length of the rectangular field is 96m. Now, let's find out the area of the rectangular field.
⠀⠀⠀⠀⠀━━━━━━━─━━━━━━━
[tex] \red \bigstar \sf{\underline{Finding\ area\ of\ the\ rectangular\ field:-}} [/tex]
[tex] \sf : \implies {Area\ of\ rectangle\ =\ l \times b} \\ \\ \sf : \implies {Area\ of\ rectangle\ =\ 96 \times 48} \\ \\ : \implies {\underbrace{\boxed{\pink{\frak{Area\ of\ rectangle\ =\ 4608m^2}}}}_{\sf \blue{\tiny{Area\ of\ the\ field}}}} [/tex]
∴ Hence, area of the rectangular field is 4608m².
MCQ (100)
Q32. If tan(t) =13, then cot(-t) = ?
What integer represents a 5-point loss added to a 2–point gain?
Answer:
-3
Step-by-step explanation:
5 point loss is -5,
2 point gain is (+)2.
If it's added, the expression will be -5 + 2.
-5 + 2 is -3.
-3 is an integer, because integers are whole numbers and their opposites.
If this helped, please mark it brainliest.. unless there is a better answer. Thanks.
Answer:
So -3
Step-by-step explanation:
Add -4 + (-15).
-11
19
-19
11
Step-by-step explanation:
-4+(-15)
=(-19)
I think it helps you
Can someone please help me with this question i have 3 minutes left
Answer:
It will cost 11 cents a day.
Step-by-step explanation:
1.98/18=11
plzz have brainiest
Helpppppppppp NEED THIS ASAP!!!!!!!!!
Answer:
$230
Step-by-step explanation:
hope this helped, im sorry if im wrong too