Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly. What is the probability that one junior and one senior are chosen for the two positions?a. 0.395 b. 0.444 c. 0.506 d. 0569 e. 0.722

Answers

Answer 1

Answer:

The probability that one junior and one senior are chosen for the two positions is 0.556.

Step-by-step explanation:

The information provided is as follows:

Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly.

There are a total of 9 students who applied for the two open student council positions.

The total number of ways to select two students from 9 is: [tex]{9\choose 2}=\frac{9!}{(9-2)!}=36[/tex]

Compute the probability that one junior and one senior are chosen for the two positions as follows:

[tex]P(\text{1 Junior and 1 Senior})=\frac{5\times 4}{36}=0.556[/tex]

Thus, the probability that one junior and one senior are chosen for the two positions is 0.556.


Related Questions

Penny used to drive 3.36 miles to school. Then, she moved 1.29 miles closer to
school. How far does Penny have to drive to school now?
о

Answers

Answer:

I think the answer is 2.07

The answer is 2.07 if your wondering how to get that answer line the decimals up and put the bigger number on top and subtract :) don’t got get the decimal when you get the answer.

pleaseeeeeeeeeeeeeeeeeeeeee help me i'm begging you so the questions is what is the multiplicative of 5 and 10-5k

Answers

Answer:

1/5 and -k/5+2

Step-by-step explanation:

inverse of 5= 1/5

swap the variables: y=10−5k becomes k=10−5y

Now, solve the equation k=10−5y

for y

y=−k/5+2

Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su padre compró pintura para que entre los tres pinten su cuarto. Arturo como es el más grande tiene que pintar 1/2 , Pedro y Jorge se dividen en partes iguales lo que falta pintar. ¿Qué fracción de la habitación pintará Pedro? ¿Y Jorge? Explica cómo llegaste a ese resultado.

Answers

Answer:

Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.

Step-by-step explanation:

Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.

De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.

Answer:

xngdshfdxb

Step-by-step explanation:

Please help with this

Answers

Answer:

8/3

Step-by-step explanation:

(4/-5)/(-3/10)

(4/-5) x (-10/3)

-40/-15

40/15

8/3

Please help ASAP due soon I need help

Answers

Answer:  18

Step-by-step explanatio    18

Sarah graphed the function. y =-1/2x+4 if the domain is restricted to this on the photo what’s the answer I pick

Answers

Answer:

Option (4)

Step-by-step explanation:

Domain of a function is defined by the x-values or input values of the function.

Similarly, Range of a function is defined by the y-values of output values for the corresponding input values.

From the graph attached,

Domain is restricted to 0 ≤ x ≤ 8.

Therefore, Range will be 0 ≤ y ≤ 4.

Option (4) will be the answer.

A T-Rex made 16 waffles for his friends for breakfast. 5 were blueberry waffles and the rest were chocolate chip waffles. How many chocolate chip waffles did he make?

Answers

Answer: 11 waffles were chocolate chip

Step-by-step explanation:

16-5=11 waffles were chocolate chip

2(x+7)=-4x+14

Solve this for 15 points.

Answers

First, use the distribution property on the left side.
2x + 14 = 4x + 14
Then, isolate both sides so that like terms are on either sides. Subtract 2x from both sides to move x to the right side and subtract 14 from both sides to move the numbers to the left side.
0 = 2x
Lastly, divide by 2 on both sides to find x.
0 = x

A teacher designs a test so a student who studies will pass 90% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 85% of the tests taken. On a given test, what is the probability that student passes?

Answers

Answer:

probability that student passes = 0.7815

Step-by-step explanation:

Given:

Student studies = 85% = 0.85

Student not study = 11% = 0.11

Student who pass = 90% = 0.90

Computation:

P(student not pass) = 1 - 0.85

P(student not pass) = 0.15

probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)

probability that student passes = (0.85)(0.90) + (0.15)(0.11)

probability that student passes = 0.765 + 0.0165

probability that student passes = 0.7815

Using the percentages given, it is found that there is a 0.7815 = 78.15% probability that student passes.

The percentages associated with passing the test are given by:

90% of 85%(student studies for the test).11% of 15%(student does not study for the test).

Hence, adding these percentages:

[tex]p = 0.9(0.85) + 0.11(0.15) = 0.7815[/tex]

0.7815 x 100% = 78.15%

There is a 0.7815 = 78.15% probability that student passes.

A similar problem, also involving the use of percentages, is given at https://brainly.com/question/25960993

The slope of the line is ?

Answers

Answer:

slope= 4,

Step-by-step explanation:

y = 4x-6

4
Find the y-intercept of the line shown on the coordinate plane.
11

Answers

Your answer is 4.

The point is on the corner of 4. Just remember, each box is 1. Just because it is on the top corner of the box does not mean its five, if it were to be on the top corner of five then it will be five. Your answer will be 4.

Birth weights at a local hospital have a Normal distribution, with a mean of 110 oz and a standard deviation of 15 oz. The proportion of infants with birth weights below 125 oz is:

A. .500

B. .159

C. .341

D. .841

Answers

Answer:

125 is 1 dev above, so it's  13.5 + 2.35,so it's B. 0.159And i think the proportion of infants with birthweights between 125 oz and 140 oz is :D. 0.136

-2x + y = 1
7x - y = -1

Answers

-8x+y

9-y

this is the answer because it is

Answer:

i dont know what you want but i will give you it to you in slope intercept form and the x and y intercept for both eqautions

Step-by-step explanation:

first equation:

y=2x+1

x intercept:(-1/2,0)

y intercept: (0,1)

second equation:

y=7x+1

x intercept:(-1/7,0)

y intercept: (0,1)

hope this helps pls mark brainliest this took me a long time to do :)

What is the LMC of 10 and 8

Answers

Answer:

The LCM of 10 and 8 is 40.

Hope I helped :)

Least common multiple would be (LCM) of 8 and 10 is 40.

Work out the product of 3 1/3 and 2 1/6
Give your answer as a mixed number.​

Answers

Answer:

as a mized number.

Step-by-step explanation:

The product of the numbers [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex] will be [tex]7 \frac{2}{9}[/tex].

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

The fractions are,

⇒ [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex]

Now,

Solve the product of fractions as;

⇒ [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex]

⇒ [tex]3 \frac{1}{3}[/tex] × [tex]2 \frac{1}{6}[/tex]

⇒  10/3 x 13/6

⇒ 65/9

⇒  [tex]7 \frac{2}{9}[/tex].

Thus, The product of the numbers [tex]3 \frac{1}{3}[/tex] and [tex]2 \frac{1}{6}[/tex] will be [tex]7 \frac{2}{9}[/tex].

Learn more about the fraction visit:

https://brainly.com/question/78672

#SPJ2

pls answer this yall
2a-1+8b-12b+7a-12

Answers

2a+7a+8b-12b-12-1 9a-4b-13

The Jimenez family is bringing 12 packages of hamburger and hotdog buns to the neighborhood picnic. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. They spent $20 for the buns. Create and solve a system of equations that can be used to find the number of packages of each type of bun purchased.

Answers

Answer:

The system of equations is x + y = 12 and 2x + 1.5y = 20

The number of packages of the hamburger is 4

The number of packages of the hotdog is 8

Step-by-step explanation:

Assume that they bringing x packages of hamburger y packages of hotdog

∵ x represents the number of packages of hamburger

∵ y represents the number of packages of hotdog

∵ Jimenez family is bringing 12 packages of hamburger and hotdog buns

x + y = 12 ⇒ (1)

∵ The hamburger buns cost $2.00 per package

∵ The hot-dog buns cost $1.50 per package

∵ They spent $20 on the buns

2x + 1.5y = 20 ⇒ (2)

The system of equations is x + y = 12 and 2x + 1.5y = 20

Let us solve it to find x and y

→ Multiply equation (1) by -1.5 to make the coefficients of y equal in

   values and different in signs to eliminate it

∵ -1.5(x) + -1.5(y) = -1.5(12)

-1.5x - 1.5y = -18 ⇒ (3)

→ Add equations (2) and (3)

∵ (2x + -1.5) + (1.5y + -1.5y) = (20 + -18)

∴ 0.5x = 2

→ Divide both sides by 0.5 to find x

x = 4

→ Substitute the value of x in equation (1) or (2) to find y

∵ 4 + y = 12

→ Subtract 4 from both sides

∴ 4 - 4 + y = 12 - 4

y = 8

The number of packages of the hamburger is 4

The number of packages of the hotdog is 8

Trina was playing with her new puppy last night. She began to
think about what she had read in a book about dogs. It said that
for every year a dog lives it actually is the same as 7 human
years. She looked at her 4-1/2 month-old puppy and wondered
how many human years old her puppy was?
Using as much math language and good reasoning as you can,
figure out how many human years old Trinajs puppy is?

Answers

Answeep-by-step explanation:

he was 76

jk i am stupid and this is nit the right i just wanted to know how t felt to help someone

I think it’s is 30yrs

Solve the inequality 5y + 4 < 3y + 17

Answers

Answer:

y<13/2

Step-by-step explanation:

5y + 4 < 3y + 17

5y-3y<-4+17

2y<13

y<13/2

Answer:

y<6.5

Step-by-step explanation:

5y+4<3y+17

Subtract 3 from both sides

2y+4<17

Subtractc4 from both sides

2y<13

Divide both sides by 2

y<6.5

At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?

Answers

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

[tex] d*sin(\theta) = m\lambda [/tex]

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

[tex] \frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342 [/tex]

Now, to produce a second-order maximum (m=2) the angle must be:

[tex] sin(\theta) = \frac{\lambda}{d}*m [/tex]

[tex] \theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ} [/tex]

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

80+300????????????????​

Answers

Answer:

380

Step-by-step explanation:

300+80=380

Hope that helped.

A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel needs two tables for her birthday party. How many chairs will she need?

Answers

i think the answer is The 1st table represents a function

Lets explain how to solve the problem

- Function is a relation where each input has a single output

- The notation of the function is f(x) = y , where x is the input of the

function and y is the out put of the function

-  The domain of the function is x and the range of the function is y

* Lets find which table represent a function

# First table:

     x      y

    -3      -1

     0      0

    -2      -1

- In the first table

∵ -3 has only -1

∵ 0 has only 0

∵ -2 has only -1

∵ 8 has only 1

∵ Every x has a single y

∴ The table represents a function

∴ The 1st table represents a function

- In the second table

   x       y

   -5       -5

    0       0

   -5       5

    6       -6

∵ x = -5 has y = -5 and y = 5

∴ One x has two values of y

∴ The table doesn't represent a function

- In the third table

    x          y

   -4         8

   -2         2

   -2         4

    0         2

∵ x = -2 has y = 2 and y = 4

∴ One x has two values of y

∴ The table doesn't represent a function

- In the fourth table

    x          y

   -4         2

    3         5

   -4         0

∵ x = -4 has y = 2 and y = 0

∴ One x has two values of y

∴ The table doesn't represent a function

Answer:

It is 12

Step-by-step explanation:

Please help!! Time is almost up and I’m having trouble with this question. Giving 20 points

Answers

It’s the third one for this question

x = ? ..................................​

Answers

Answer:

x = 40

Step-by-step explanation:

The  two sides on top are congruent,  Kites have two pairs of adjacent sides that are equal. so since it's 40 degrees on one side, the same will happen to the other.

Can you help me please and thank you

Answers

Answer:

I believe the answers in the blank should be 4

Step-by-step explanation:

Answer:

= (4 x 5) + (4 x 2)

Step-by-step explanation:

remember to multiply first, before doing the addition. in this case, multiply 4 by 5, then 4 by 2 to get your answer using distributive property. i always remember the distributive process because if you take off a few letters, it makes distribute. you basically distribute 4, you give each number (5 and 2) a 4 and multiply them. hope this made sense lol

Al cuadrado de un número se lo aumenta en 7 unidades y se obtiene el número 56.
¿Cuál es dicho número?

Answers

Answer:

Hola, me no Espanol.

Step-by-step explanation:

twice the square of a number

Answers

Answer:

2 * x^2

Step-by-step explanation:

in word form: two times the square of x

"a number" can be any variable; i used x

Answer:

x² × 2

Step-by-step explanation:

Notice vocabulary:

twice → multiplication by a factor of two → ×2a number → unknown number; variable → xthe square → raised to the power of two →

Put this information together.

"Twice the square of a number"

Since it says of a number, this number comes first → [tex]x[/tex]

"Twice the square of a number"

The square of a number means that the variable will be squared → [tex]x^2[/tex]

"Twice the square of a number"

Multiply the variable by a factor of two → [tex]x^2*2[/tex]

:Done

What is the area of the right triangle shown below?
1.5
2.5

Answers

Answer:

Hello! The answer is 1.5

The area of the given right-angle triangle will be 1.5 unit².

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°.

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Given the tringle with,

Base =1.5 unit

Hypotaneous = 2.5 unit

By Pythagoras theorem

Perpendicular² = (Hypo² - Base²)

Perpendicular² =  2.5² - 1.5²

Perpendicular = 2 units.

Now the area of the right-angle triangle is

⇒  (1/2) × base × height.

Area = (1/2) × 1.5 × 2 ⇒ 1.5 unit²

Hence the area of the given triangle will be 1.5 unit².

For more information about triangle

https://brainly.com/question/2773823

#SPJ2

I WILL GIVE BRAINLIEST! ALSO KEEP AWARE!

Answers

Answer:

Step-by-step explanation:

An equation y = kx represent a proportional relation and k = [tex]\frac{y}{x}[/tex]

⊕ Yes, the constant of proportionality is 3.5

What is the sum of –356.1 + 258.6? –614.7 –97.5 97.5 614.7

Answers

Answer:

The answer is -97.5

Answer:

-97.5

Step-by-step explanation:

um yas

Other Questions
Can somebody help me? Will mark brainliest! I will give Brainlyest to the person who is first After the temperature rose 9', the thermometer read 37FWhat is an equation that can be used to find x, the temperature before the g increaseDrag the number, symbol, or operation sign to each box to complete the equation or symbol to Que:Which of these must occur during S phase of the cell cycle so that two daughtercells can be produced during M phase? By bike, its possible to travel 108 miles in 6 days. Whats the unit rate? PLEASE HELP ITS A TESTTT... To train for a marathon, Olivia runs 2 miles per day for the first week and then increases the daily distance by a quarter mile each of the following weeks. Write and equation to represent the NTH term of the sequence. True or False. A rocket ship is a good example of Newton's first law of motion. Michael spent $266 on new door knobs for his entire house. Each door knob cost $14.How many door knobs did Michael buy? A. 16 door knobs B. 18 door knobs C. 19 door knobs D. 22 door knobs What is the slope of = 3 9 What contributes the MOST to the United Kingdom's historical success in international trade? A. Its command economy allows the government to specialize economically. B. Its warm climate attracts businesses that then trade with other countries. C. Its vast territory contains many valuable natural resources that it trades. D. Its location near major European markets makes it a major hub for trade. Which of these word sets is an example of nuanced difference?angry / devastatedsullen / mopeyloud / whisperhappy / sad Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute 72x2 + 39x + 207 = 0 PLEASEEE HURYYY i have to turn it in 10 mins 3. Which statement is most consistent with the views of patriots in the 1770's?a. The colonists should be grateful to be under British rule andprotectionb. Taxation without representation is tyranny and violates colonists'rightsc. The British government provides colonists with stable and justlawsd. As British subjects, colonists have a duty to the king andParliament 2. An electric fan has a resistance of 3.0 kN and a voltage rating of 220 volts. Whatis the current needed to operate the electric fan?Given:Resistance (R)ka x (1000/1 kg) =voltsVoltage (V)Required: Current (1)Formula:voltageresistanceSolution:V-IRAnswer:Current =A, the current needed to operatethe electric fan When demographers find in a population that there aremore births than deaths the result is called:Select one:a. natural increaseb. natural growthc. natural expansiond. none of the above How do I do this? Im lost What is the effect of the symbol of the radio on meaning in Anne Frank: The Diary of a Young Girl?It represents the censorship imposed by the Nazis.It symbolizes illegal goods hidden from the Nazis.It symbolizes the Jews in hiding who will one day be free.It represents freedom of information in a time of oppression. What are the comparison and contrast of the four temperaments of personalities? Which word completes the sentence with the mostpositive connotations?ineptastuteadequatesatisfactory Escoge la respuesta correcta.Qu se encuentra en un men tpico en Guavate?burritostortillasflanmorcillapernlyerba mateguisadopastelesarroz con gandules