Answer:
2730 ways
Step-by-step explanation:
Given that,
There are 15 eligible candidates for these positions.
The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.
It is a concept based on permutations.
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
Put n = 15 and r = 3
[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]
Hence, 2730 ways can the members of the cabinet be appointed
z
Glasses of water drank
12 134 12
2 212 134
1/2 1/2 13/4
17a. Make a line plot using data.
17b. Write a question using data.
Answer:
I didn't get the qs clearly.... And what they really asked us to do
Delta Airlines' flights from Boston to Seattle are on time 70 % of the time. Suppose 6 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 4 flights are on time is
Answer:
P(at least 4) = 0.74431
Step-by-step explanation:
Here
Probability of the flights on time is = 70% = 70/100= 0.7
q= 0.3
n= 6
As the probability of success and failure is constant and the n is also fixed then the binomail probability distribution can be used to solve this.
P (x= 4) = 6c4 *(0.7)^4 (0.3)^2= 15*0.2401* 0.09= 0.324135
P (x= 5) = 6c5 *(0.7)^5(0.3)^1= 6*0.16807* 0.3=0.302526
P (x= 6) = 6c6 *(0.7)^6 (0.3)^0= 0.117649P
P (x= 0) = 6c0 *(0.7)^0 (0.3)^6= 0.000729
P (x= 1) = 6c1 *(0.7)^1 (0.3)^5=0.010206
P (x= 2) = 6c 2*(0.7)^2 (0.3)^4=0.059535
P (x= 3) = 6c3 *(0.7)^3 (0.3)^3=0.18522
Probability of at least 4 means that probability of greater than 4 inclusive of 4.
This can be obtained in two ways.
First is by subtracting the probabilities of less than 4.
Second is by adding probabilities greater than 4 including 4.
We get the same answer with any of the two methods used.
P(at least 4) = 1- P(x<4)
= 1- [ 0.000729+ 0.010206 +0.059535+ 0.18522]
= 1- 0.25569
= 0.74431
P (at least 4) = P(x=4) +P(X=5) + P(x=6)
=0.324135+ 0.302526+ 0.117649
=0.74431
1.4(X + 3) *
[
4x + 3
X + 12
4x + 12
Answer:
4x + 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Step-by-step explanation:
Step 1: Define
4(x + 3)
Step 2: Expand
Distribute 4: 4(x) + 4(3)Multiply: 4x + 12Answer:
[tex] \huge4(x + 3) = 4x + 12[/tex]
4x+12 is the right answer.The tables represent two linear functions ina system
What is the solution to this system?
(-13/3,-25) (-14/3,-54) (-13,-50) (-14,-54)
Answer: i think it’s option D i might be wrong
Step-by-step explanation: i think it’s option D i might be wrong
Write the equation for the line that has the given slope and contains the given point.
slope = −2
passes through ( 3 , 1 )
Answer:
Step-by-step explanation:
y = mx + b
m = slope
b = y intercept
y and x in the equation represent the coordinate points (3,1)
so substituting,
y = -2x + b
1 = -2(3) + b
1 = -6 + b
b = 7
so the final equation is,
y = -2x + 7
find the sum or difference of 2/3 + 5/6
Answer:
The sum would be
[tex]\frac{3}{2} [/tex]
The difference would be
[tex] \frac{2}{3} - \frac{5}{6} = - \frac{1}{6} \\ \\ or \\ \\ \frac{5}{6} - \frac{2}{3} = \frac{1}{6} [/tex]
Explain the steps (in order) of how to write this function:
4(x + 5)2
f(x) =
3
1
2.
4.
Answer:
4x+20+2
4x+22
Step-by-step explanation:
4×x=4x then 4×5=20+2
Solve pls
2x - 5 = 7
Answer:
[tex]x = 6[/tex]Step-by-step explanation:
[tex]2x - 5 = 7 \\ 2x = 12 \\ x = 6[/tex]
Hey there!
“Solve 2x – 5 = 7”
FIRST: ADD both SIDES by 5
2x – 5 + 5 = 7 + 5
CANCEL out: –5 + 5 because it gives you 0
KEEP: 7 + 5 because it helps us solve for x
7 + 5 = 12
NEW EQUATION: 2x = 12
SECOND: DIVIDE both sides by 2
2x / 2 = 12 / 2
CANCEL out 2 / 2 because that gives you 1
KEEP: 12 / 2 because it gives you the value of x
NEW EQUATION; x = 12 / 2
SOLVE ABOVE and you have your answer
12 / 2 = 6
Therefore, x = 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
is 944544 divisible by 10
a pack of 10 pair of socks cost 16.80. what is the cost for one pair of socks
Answer: $1.68 per pair of socks
Step-by-step explanation:
16.80- 10 = 1.68
I need help with this Geometry question
Answer: A) 6 in^2
First, you need to find the length of the base.
a = 3, b = ?, c= 5
Using Pythagorean Theorem*: a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 5^2 - 3^2
b^2 = 25 - 9
b^2 = 16 (square root both sides)
b = 4
Now, you have to find the area using the area of a triangle formula: A = (bh)/2
A = (bh)/2
A = (4·3)/2
A = 12/2
A = 6 in^2
Pythagorean Theorem is used for this question since it's a right triangle.
Answer: A) 6in^2
Step-by-step explanation:
base = 4 in
height = 3 in (pythagorean theorem)
A = (bxh)/2 = (4x3)/2 = 12/2 = 6 in^2
A $300 suit is marked down by 10%. Find the sale price.
The sale price is $
(Round to the nearest dollar as needed.)
Answer:
The answer is $270
Step-by-step explanation:
1. Take the original price.
2. Divide the original price by 100 and times it by 10.
3. Move the decimal one place to the left.
4. Minus this new number from the original one.
5. This will give you the discounted value.
I hope this helped! :)
Hi please help me answer this :)
Explain answer
Will give braisnlt
Answer:
There are no solutions
Step-by-step explanation:
No intersections or points that apply for the equations.
What are the like terms in the algebraic expression?
-ab+6ab-8+5ab-6a-b
O -band - 6a
O -²band 5ab
O 6aband 5ab
O Baband - 6a
Find the missing angle measures
Please help
Answer:
angle N is 64 and the bottom one is 52
Step-by-step explanation:
M and N are the same angke and they add up to 128 and all angles in a triangle add up to 180 meaning the bottom angle is 52
Answer:
N = 64 if there is another letter it would be 52
Step-by-step explanation:
I hope this helps <3
Jonah teachers pet training classes at the happy tails doggie daycare yesterday he talk to tricks to a group of dogs during a 30 minute class Jonah decided to create a longer class lasting 75 minutes if he teaches tricks at the same rate how many tricks with Jonah teach during the 75 minute class
Answer:
5
Step-by-step explanation:
he teaches 1 trick every 15 minutes 75 divided by 15 gives you 5 so Jonah can teach 5 tricks in a 75 minute class
Answer:
5
Step-by-step explanation:
bjhugvcyfxtdrzstxycfugiholiugkyftdrsetdfyugi
[Calculus] particle at rest question. Show steps, please!
Answer:
E
Step-by-step explanation:
We are given that a particle's position along the x-axis at time t is modeled by:
[tex]x(t)=2t^3-21t^2+72t-53[/tex]
And we want to determine at which time(s) t is the particle at rest.
If the particle is at rest, this suggests that its velocity at that time is 0.
Since are we given the position function, we can differentiate it to find the velocity function.
So, by differentiating both sides with respect to t, we acquire:
[tex]\displaystyle x^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-21t^2+72t-53\big][/tex]
Differentiate. So, our velocity function is:
[tex]v(t)=6t^2-42t+72[/tex]
So, we will set the velocity to 0 and solve for t. Hence:
[tex]0=6t^2-42t+72[/tex]
We can divide both sides by 6:
[tex]0=t^2-7t+12[/tex]
Factoring yields:
[tex](t-3)(t-4)=0[/tex]
By the Zero Product Property:
[tex]t-3\text{ and } t-4=0[/tex]
Hence:
[tex]t=3\text{ and } t=4[/tex]
Therefore, at the 3rd and 4th seconds, the velocity of the particle is 0, impling that the particle is at rest.
Our answer is E.
There are 3 red, 2 blue, and 1 yellow marbles in a bag. Once a marble is selected, it is not replaced. Determine the probability. P(red and then yellow)
Answer:
The probability of drawing a red is 50% blue is 1/3 or 33.33% yellow is 1/6 or 16.66
Step-by-step explanation:
If an orca is 200 m below the surface of the water and then swims up and jumps 5 m in the air, what is the total distance it traveled?
Answer:
Total distanced traveled = 205 m
Step-by-step explanation:
200 m+5 m=205 m
(Giving brainliest to correct answer)
Need quick
28 POINTS ANSWER RIGHT
Congruence
Answer:
BE =DE
BEC=DEC
AEB AED
Step-by-step explanation:
not that hard lol
Let y be a function of x such that 8x+7y=51 what is the rate of change of y with respect to x
Answer: -8/7
Step-by-step explanation:
solve ASAP for brain list and thanks make sure it's correct
Answer:
50 C = 122 F
Step-by-step explanation:
50°C × 9/5 +32
5. third term of (3x - y)5
Answer:
(5×3x)+(5×y)
Step-by-step explanation:
=15x+5y ans
109 divided by 15 (SIMPLIFIED!)
Answer:
7 should be the answer. on the calculator I got 7.26 but you need the simplified answer
Write an equation of the line passing through the .1, eight and parallel to y=-3X +10
Answer:
y= -3x+11
Step-by-step explanation:
I am assuming ".1, eight" is (1,8)
y=-3x +10<--- the slope is -3 so plug into this equation: y-y1=m(x-x1)
y-8=-3(x-1)
y-8=-3x+3
Plz help lol
(12221×222) ×+212%234\/()231331783)2343#23=22+×233)1(23€£÷÷) =
Answer:
(c) 24 (d) 2 -4 (e) 22 2 1.25 0
Step-by-step explanation:
Problem 1.1 (10 Points) Let 21 2j, and 23 j. Find the value of each of the following 3 4j, 22 expressions and give your answers in rectangular form z t jy. (a) 132122 (b) 321 421 (c) (21)3 (Note that superscript denotes conjugation.) 222 21 (d) 22 (e) 2223 Problem 1.2 (10 Points) (a) Find real numbers r and y such that 5z -3y j(5y z) 4. (b) Show that any complex number z can also be expressed as z e 2"* k 0, 1,2, 3. Problem 1.3 (10 Points) Express each of the following complex numbers in polar form. a) 2 2V3 (c) 1 j j2 7 4j (d) 3-2j (e) Problem 1.4 (10 Points) Use the results from Problem 1.2 (b) above to find all roots of the following complex numbers and plot your results in the complex plane. (a) 1 (Hint: there are 5 different answers and one is 2 (b) 23 (1 -j) (Hint: there are 3 different answers. (c) 24 (d) 2 -4 (e) 22 2 1.25 0
Based on the 2017 season, the Houston Astros have a winning percentage of .623. Use the binomial model to find the probability that the Astros will win 4 of their next 6 games.
P
(
x
)
=
[
n
!
x
!
(
n
−
x
)
!
]
p
x
q
n
−
x
A.
12.4%
B.
24.7%
C.
32.1%
D.
62.3%
Answer: Your answer would be C) 32.1%
Step-by-step explanation:
With the number of successes needed to be 4 and the total amount of trials (games) for this to be achieved in being 6 you can calculate a percentage based on their currenting winning percentage of .623 (don't forget decimals can be percentages, just move the decimal point over) and you can input all of this into the binomial model equation to get your answer. Please do note also that it would be a different answer entirely if you were to use .500 (50%) as a winning percentage which would be the logical conclusion as any team has a 50/50 chance of winning a given game but instead the question is asking us to calculate this percentage off the already given winning percentage. After inputting the data into the model formula you can conclude the answer to be 32.1% chance of them winning 4 out of the next 6 games. I hope this has been of assistance to you :)
Have a wonderful rest of your day!
Germany, Italy, and Japan formed the Tripartite Pact in part because they:
Answer:
hoped to convince the United States to stay out of World War II
Explanation:
just took the quiz :)
Answer:
Wanted to support one another in conquering Europe and Asia
Step-by-step explanation:
50. If angles are complementary, what’s value of x?
Answer:
x = 14
Step-by-step explanation:
For complementary angles, the sum of two angles is equal to 90 degrees.
We have,
[tex]m\angle ABC = 4x-10\\\\m\angle DBC = x+30[/tex]
ATQ,
[tex]4x-10+x+30=90[/tex]
Taking like terms together,
4x+x =90-30+10
5x = 70
x = 14
So, the value of x is 14.
Find the number of outcomes in the complement of the given event. Out of 246 shoes in a department store, 198 are women's shoes.
Answer:
I suppose that the event here is selecting randomly a shoe.
We know that there are 246 shoes in the store, and 198 of them are women's shoes.
Then there are 246 - 198 = 48 shoes that are not women's shoes.
This means that if the event is something like "finding randomly a women's shoe"
The complement would be "selecting randomly a shoe which is not a women's shoe"
And there will be 48 outcomes that meet this condition.