There are 3 directors, 4 management executives, 2 statisticians and 1 administrator. A committee of 4 members among them is to be formed. Find the probability that the committee consists of i) one of each kind III) one administrator and the other three III) at least one director
I need this answer Help me?
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.
col Additional Practice
2.6 APA
1 Question Help
O
You draw a rectangle with vertices at (-3.5,3), (3.5,3), (3.5. - 3), and (-3.5. - 3). What is the
perimeter and area of the rrectangle?
What is the perimeter and area of the rectangle
Answer:
P = 26 units
Area = 42 square units.
Step-by-step explanation:
Notice that the points are showing a rectangle with length with a horizontal segment on the coordinate plane that goes from -3.5 to 3.5 (7 units in length), and width a vertical segment from -3 to 3 (6 units in length).
Therefore the rectangle's perimeter (P) is:
P = 2 L + 2 W = 2* 7 + 2 * 6 = 14 + 12 = 26 units.
The area of the rectangle is given by:
Area = L * W = 7 * 6 = 42 square units.
Which polynomial is in standard form?
N
O 26x5 + 12x7-8x3 + 6x
O 3x5 +x-6x2 + 5
11x5-6x2-9x+12
5x2 + 18x3 - 12x4 +4x7
Answer:
i am pretty sure it is D
Step-by-step explanation:
Answer:
Its C.) 11x^5 - 6x^2 - 9x + 12
Step-by-step explanation:
ejenuwitee
=D
=P
The perimeter of a triangle is
17
x
−
5
units. One side is
3
x
+
5
units and another is
8
x
−
3
units. How many units long is the third side?
Answer:
i did'nt understand the question
Step-by-step explanation:
sorry
Write an expression that represents the area of
the figure in square centimeters.
HELP ASAP
Answer:
its either 98 cm or 28 cm
Step-by-step explanation:
7 x 7 = 49 x 2 = 98 cm
14 x 2 = 28
ummmmmmmmmmmmmmmmmmmmm so you can just say what box if you dont want to explain i just think its all 3 if them one i figured out was wrong but the others i cant tell and i also suck at math
Answer:
Table (4)
Step-by-step explanation:
If data in the given tables show the proportional relation then they will follow the rule,
y = kx
k = [tex]\frac{y}{x}[/tex]
where 'k' = proportionality constant
From table (1),
k = [tex]\frac{2}{1}[/tex] = 2
k = [tex]\frac{3}{2}=1.5[/tex]
But 2 ≠ 1.5
So the data in the table (1) is not proportional.
Table (2)
k = [tex]\frac{0}{2}=0[/tex]
k = [tex]\frac{2}{4}=0.5[/tex]
Therefore, data in the table is not proportional.
Table (3)
k = [tex]\frac{1}{0}[/tex] = Not defined
k = [tex]\frac{3}{2}=1.5[/tex]
Data is not proportional.
Table (4)
k = [tex]\frac{y}{x}=\frac{-6}{-2}[/tex]
= 3
k = [tex]\frac{3}{1}=3[/tex]
3 = 3
Therefore, data given in table (4) represents the proportional relationship.
Solve for the variable 4-14=5x
Answer:
X = 2
Step-by-step explanation:
4-14=5x
10=5x
10/5=5x/5
2=x
Answer: x = -2
Step-by-step explanation:
Let's solve your equation step-by-step.
4−14=5x
Step 1: Simplify both sides of the equation.
4−14=5x
4+−14=5x
(4+−14)=5x
(Combine Like Terms)
−10=5x
−10=5x
Step 2: Flip the equation.
5x=−10
Step 3: Divide both sides by 5.
5x/5=−10/5
x=−2
Please help!! I just need help with question 40!!
Answer:
a. 70%
b. 6 more times
c. subtract from 100% with percentages, subtract from 1 with decimals.
Step-by-step explanation:
a. To find the percentage of red and yellow, skip back the decimal point two times: 0.26 > 26% 0.04 > 4%
Add all of the percentages together to get 70%
b. To find how many times more students said red than yellow, divide yellow from red. It shows you how many times yellow can go into red, giving you the correct answer.
0.26 ÷ 0.04
26 ÷ 4
6
c. 14% + 26% + 40% + 4% = 84%
100% - 84%
16%
(do the same thing with decimals and pick your favorite method)
:)
3
t: for t=
4
4
Your answer
Answer: If that's 44 then your answer is going to be 132 but if it is just 4 is going to be 12 if it is 4.4 then it's going to be 13.2
Step-by-step explanation:
44x3=132
4x3=12
4.4x3=13.2
what number is 386 more than the sum of 345 and 425
Which of the sets of ordered pairs represents a function? (4 points)
A = {(-5,5), (-2, 2), (2, -2), (5, -5)}
B = {(4,2), (3,-2), (9,4), (11, -3)}
Only A
Only B
Ο Ο Ο
Both A and B
Neither A nor B
Answer:
A if i'm not mistaking
Step-by-step explanation:
Kylie is 59.54 inches tall. Her friend Adam is 1.37 inch taller than she is. How tall is
Adam?
A 58.17 inches tall
B 60.85 inches tall
C 60.91 inches tall
D 70.35 inches tall
Solve the system by substitution. y = 8x + 32 Y= -8x
What is the relationship between vectors u = ⟨1, 0⟩ and v = ⟨0, –3⟩?
The vectors form an acute angle of approximately 48°.
The vectors form an acute angle of approximately 71°.
The vectors are orthogonal because the angle between them is 90°.
The vectors form an obtuse angle of approximately 132°.
Answer:
C) The vectors are orthogonal because the angle between them is 90°.
Step-by-step explanation:
got it right on edge :)
The vectors are orthogonal because the angle between them is 90°. Option C is correct.
What exactly is a vector?A vector is a quantity with a magnitude, and direction that follows the law of vector addition.
Given data;
u = ⟨1, 0⟩
v= ⟨0, –3⟩
The angle between the vector is found by the formula as;
[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]
Hence option C is correct.
To learn more about vectors, refer;
https://brainly.com/question/13322477#SPJ2
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Which is the graph of f(x) = 2(3)x
Which of the following is an example of a complex number that is not in the set of real numbers?
O-7
O 2+ V3
O 4 + 9
Ол
Answer:
C) 4+9i
Step-by-step explanation:
A complex number is represented as: [tex]a + bi[/tex].
Where: [tex]a \to[/tex] Real part and
[tex]bi \to[/tex] Imaginary part
From the given numbers, [tex]4 + 9i[/tex] is a complex number
The given numbers are:
[tex]-7[/tex]
[tex]2 + \sqrt 3[/tex]
[tex]4 + 9i[/tex]
[tex]\pi[/tex]
By comparing [tex]a + bi[/tex] with the given numbers;
We can conclude that: [tex]4 + 9i[/tex] is a complex number
Because it has a real part (4) and an imaginary part (9i)
Read more about complex numbers at:
https://brainly.com/question/19007885
A class of 25 students includes 12 boys. Does the ratio of
girls to students represent a fraction? Does the ratio of
boys to girls represent a fraction? How do you know?
Answer- The ratio of girls to students represents a fraction because it is a part- to-whole comparison. The ratio of boys to girl is not a fraction because it is part-to-part.
Answer:
Step-by-step explanation:
Sample Response: The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.
Dionna rode her skateboard at a speed of 10 miles per hour. Which statement is correct?
If she covered 2.5 miles, she rode for 0.25 hours.
If she covered 2.5 miles, she rode for 4 hours.
If she covered 4 miles, she rode for 0.25 hours.
If she covered 4 miles, she rode for 4 hours.
Answer:
She covered 2.5 miles, she rode for 0.25 hours.
Step-by-step explanation:
0.25*10=2.5
I need help, please
it is do tomorrow
Answer:
8) 21 milliliters
i am not completly sure but it is NOT the whole
9) .4 & 40%
7) 9670 feet
10) a) $7200 b)350,000
Step-by-step explanation:
cuz 35% of 60 is 21
cuz 120/300 is .4 and if you take 300 * .4 it equals 120
y=4x+1
y=-3/4 |x|
how do i graph these equations (separate problems)?
What is the slope of a line represented by 3x-14y=28
Answer:
3/14
Step-by-step explanation:
3x-14y=28
solve
add -3 both sides
3x−14y+−3x=28+−3x
−14y=−3x+28
divide both sides by -14
y= 3 /14 x−2
y=mx+b
so 3/14 is the slope
A heating pad takes 5,657 Watts during each time it is turned on. If you only use it for 28 minutes, how much CO2 was created? Round to 1 decimal.
Answer: 2.6 pounds of CO₂
Step-by-step explanation:
1 kilowatt per hour produces 0.99 pounds of C02.
The watts used was;
= (5,657 * 28/60 hours) / 1,000
= 2,639.93333333
In kilowatts;
= 2,639.93333333/1,000
= 2.6399333 kilowatts
CO2 produced;
= 2.6399333 * 0.99
= 2.613533967
= 2.6 pounds of CO2
a group of 5 friends goes to a show. Each ticket cost $9, and the friends share a popcorn that cost $6. Which shows the total cost
Answer:
The total cost is $51
Step-by-step explanation:
The answer is 51 because 5 times 9 is 45 and 45 plus 6 is 51
.
Answer:
the total cost is $51.00 dollars
simplify the equation
Answer:
The answer is C
Step-by-step explanation:
I say this because you have to simplify and plug in the numbers to get answer choice c
Irene can snap 48 times in 8 minutes at a constant rate. How many
times can she snap in 9 minutes?
Answer:
54 times in 9 mins.
Step-by-step explanation:
divide 48/8 = 6
6 times 9 = 54
Jacob walks 1.250 meters to school every day. How many kilometers does Jacob walk in one week?
HELP ASAP
Answer:
ways and answer are in paper
^^^^^^^
What is the unit price of 12 gallons of gasoline that costs $39.48 ?
The unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon
How to determine the unit price?The given parameters are:
Gallons = 12
Cost = $39.48
The unit price is calculated as:
Unit = Cost/Gallon
So, we have:
Unit = $39.48/12
Divide
Unit = $3.29
Hence, the unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon
Read more about unit rates at:
https://brainly.com/question/19493296
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In a recent survey of 79 heads of household, 46 said they did online banking on their cell phones. Find the standard error for the sample proportion of heads of household who do online banking on their cell phones. Enter your answer as a decimal rounded to three decimal places.
Answer:
[tex]SE_p = 0.055[/tex]
Step-by-step explanation:
Given
[tex]n = 79[/tex] --- Heads
Proportion, p = 46 out of 79
Required
Determine the standard error for sample proportion (SEp)
This is calculated using the following formula
[tex]SE_p = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this case:
[tex]p = \frac{46}{79}[/tex]
[tex]p = 0.5823[/tex]
Substitute values for p and n in:
[tex]SE_p = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]SE_p = \sqrt{\frac{0.5823 * (1-0.5823)}{79}}[/tex]
[tex]SE_p = \sqrt{\frac{0.5823 * 0.4177}{79}}[/tex]
[tex]SE_p = \sqrt{\frac{0.24322671}{79}}[/tex]
[tex]SE_p = \sqrt{0.00307881911}[/tex]
[tex]SE_p = 0.0554871076[/tex]
[tex]SE_p = 0.055[/tex] ---- Approximated
Over 10 days it snowed 80 inches, how much did it snow in 1 day?
Answer:
8
Step-by-step explanation:
Answer:
0.125
Step-by-step explanation:
The sum of 7 and the cube of a number.
Answer:
7+x3
Step-by-step explanation:
Sum means to add the addends together. A number is a word form of a variable, and you are cubing that number which is multiplying that number by itself three times.