A school class of 120 students is driven in 3 buses to a symphonic performance. There are 36 students in one of the buses, 40 in another, and 44 in the third bus. When the buses arrive, one of the 120 students is randomly chosen. Let X denote the number of students on the bus of that randomly chosen student, find E(X).

Answers

Answer 1

Answer:

40.2667

Step-by-step explanation:

P(X=36)= 36/120

P(X=40)= 40/120

P(X=44)=44/120

E(X) = 36(36/120)+40(40/120)+44(44/120)=1208/30=40.2667

hope this helps

Answer 2

If a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

A school class of 120 students is driven in 3 buses to a symphonic performance.

There are 36 students on one of the buses, 40 on another, and 44 on the third bus.

From the data given:

Let X be the total number of passengers on the bus carrying that randomly selected student,

Total number of students = 120

Let:

Probability:

P(X = 36) = 36/120

Probability:

P(X = 40)= 40/120

Probability:

P(X = 44)=44/120

E(X) = 36(36/120) + 40(40/120) + 44(44/120)

E(X) = 1208/30

E(X) = 40.26

Therefore, if a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.

Learn more about the probability here:

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Related Questions

Which inequality represents all numbers x on a number line that are farther from −8 than from −4?

Answers

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

Gopi paid 25% of his salary as tax and spent of his salary on groceries. The remaining amount of Rs.2500 was his savings. Find his salary and the tax amount paid.​

Answers

Answer:

his salary is rs 6000 & his tax amount is rs 1500 :)

Answer:

6000,1500

Step-by-step explanation:

Let Gopi's salary be 'x'

He paid 25% of his salary as tax. = 25% of x = 25x/100 = x/4  

He spent 1/3 of his salary on groceries = x/3

Getting his salary:-

x-x/3-x/4=2500

(12x-4x-3x)/12=2500

5x/12=2500

x=

(2500x12)/5

x=500x12=6000

Tax amount:-

6000x25/100=1500

What is true about any point on a coordinate plane with a negative
x-coordinate and a y-coordinate that is not zero?

A. It lies in the top half of the coordinate plane.
B. It lies in Quadrant I or IV.
C. It lies to the right of the y-axis.
D. It lies in Quadrant II or III.

Answers

Answer:

the answer is B

Step-by-step explanation:

i guessed and got it right

Answer: D. It lies in Quadrant II or III

Step-by-step explanation: It asks for any point on a coordinate plane with a NEGATIVE X COORDINATE.

With this we can use this image (Shown below) to help us find out the answer... Quadrants II and III both have a negative X-coordinate

Charlene paid $1540.77 (including sales tax) for a microscope. The sales tax in her state is 7%.
What was the price of the microscope before the sales tax was added?

Answers

Answer:

1,439.97

Step-by-step explanation:

Price x 1.07 = price including sales tax

price x 1.07=1540.77

price=1540.77/1.07

price= 1439.97

The price of the microscope before the sales tax was added when calculated is; $1439.97

How to solve algebra problems?

We are told that Charlene paid $1540.77 (including sales tax) for a microscope. Thus, the price before sales tax can be gotten from the formula;

Price before sales tax × 1.07 = Price including sales tax

Thus, plugging in the relevant values;

Price before sales tax × 1.07 = 1540.77

Price before sales tax = 1540.77/1.07

Price before sales tax = $1439.97

Read more about Algebra Problems at; https://brainly.com/question/4344214

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Tom works part-time at a theme park. Last week, he worked the following hours. Type the hours Tom worked in hours and minutes into the boxes below. MON: 7 1 4 hours = hours and minutes TUE: 6 3 4 hours = hours and minutes WED: 5 1 5 hours = hours and minutes THU: 6 1 10 hours = hours and minutes

Answers

Answer:

7 hours and 15 minutes

6 hours hours and 45 minutes

5 hours and 12 minutes

6 hours and 10 minutes

Step-by-step explanation:

MON: 7 1/4 hours

= 7 hours and 1/4 hours

1/4 hours = 1/4 × 60 minutes

= 60/4 minutes

= 15 minutes

7 1/4 hours = 7 hours and 15 minutes

TUE: 6 3/4 hours

= 6 hours and 3/4 hours

3/4 hours = 3/4 × 60 minutes

= 180/4 minutes

= 45 minutes

6 3/4 = 6 hours hours and 45 minutes

WED: 5 1/5 hours

= 5 hours and 1/5 hours

1/5 hours = 1/5 × 60 minutes

= 60/5 minutes

= 12 minutes

5 1/5 hours = 5 hours and 12 minutes

THU: 6 1/10 hours

= 6 hours and 1/10 hours

1/10 hours = 1/10 × 60 minutes

= 60/10 minutes

= 6 minutes

6 1/10 hours = 6 hours and 10 minutes

Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractions when required.

Answers

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

[tex] \large \boxed{y = mx + b}[/tex]

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

[tex] \large{y = - \frac{7}{6} x + b}[/tex]

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]

Answer

y = -7x/6

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

find the value of x if y=2.5 on the graph of 2x-1=y

Answers

Answer:

2x - 1 = y

2x - 1 = 2.5

Use inverse operations

2.5 + 1 = 3.5

3.5 / 2 = 1.75

2 x 1.75 - 1 = 2.5

x = 1.75

Help me ASAP! Giving the first person BRAINLIEST!

Answers

Answer:

Hello! answer: 12

Step-by-step explanation:

1/4 × 1/3 = 1/12 therefore there our 12 possible outcomes

12 is the answer
hope that helps

Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-6)
slope = -5
O A. y = -6x + 5
O B. y = -5x - 6
O C. y = -5x + 6
D. y = -6x-5

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option B: [tex]y=-5x-6[/tex]

»»————- ★ ————-««  

Here’s why:  

Recall that the slope intercept form of a equation for a line is:

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]

⸻⸻⸻⸻

We are given the information of:

The slope, which is -5.The y-intercept, which is (0, -6).

⸻⸻⸻⸻

[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]

⸻⸻⸻⸻

Option B should be the correct answer.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

A basketball team recently scored a total of 94 points on a combination of​ 2-point field​ goals, 3-point field​ goals, and​ 1-point foul shots.​ Altogether, the team made 52 baskets and 11 more​ 2-pointers than foul shots. How many shots of each kind were​ made?

Answers

Answer:

The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Step-by-step explanation:

Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:

19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112

9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97

7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94

Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the difference in price per cubic inch?
a. $0.01
b. $0.02
c. $0.00
d. $0.09

Answers

Answer:

b. $0.02[tex]/in^3[/tex]

Step-by-step explanation:

Given

[tex]r =1in[/tex]

[tex]h = 10in[/tex]

[tex]Cost_{1pk} =\$3[/tex]

[tex]Cost_{2pk} =\$5[/tex]

Required

The difference in the price per [tex]in^3[/tex]

First, calculate the volume (V) of the cylinder

[tex]V = \pi r^2h[/tex]

[tex]V = 3.14 *1^2 * 10[/tex]

[tex]V = 31.4[/tex]

The unit cost of 1 pack is:

[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]

[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]

The unit cost of 2 packs is:

[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]

The difference (d) is:

[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]

[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]

Take LCM

[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]

[tex]d = \frac{\$1}{62.8in^3}[/tex]

[tex]d = \$0.0159/in^3[/tex]

Approximate

[tex]d = \$0.02/in^3[/tex]

Answer:

b)

Step-by-step explanation:

had it on my quiz also give other dude brainliest.

HELP ME PLEASE I ONLY HAVE 30 MINUTES

Answers

Dna made up of the same components

Please help I’m in an hour of need

Answers

Answer:

x = 107 degrees

Step-by-step explanation:

A line is 180 degrees so first, find the other angle by doing 180 - 160 which gives you 20 degrees.

The angles of a triangle add up to 180 degrees, so do 180-53-20, which gives you 107 degrees as the value of x.

Given the logistic model f(x)= 800/1+19e^-0.402x
what is the initial value? Round your answer to the nearest whole number.

Answers

9514 1404 393

Answer:

  40

Step-by-step explanation:

The "initial value" is the value when x=0.

  [tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]

The initial value is 40.

which will result in a perfect square trimonial

Answers

Answer:

No choices listed.

Step-by-step explanation:

WILL MARK BRAINLIEST

Answers

Answer:

25.12 cm

Step-by-step explanation:

circumference= 2pi*r

3.14x8x2= 50.24

50.24/2= 25.12 cm

Or you could have just done 3.14 x8 which equals 25.12 as well

The answer is 25.12
A

Identify the variable expression that is not a
polynomial.


Answers

B is your answer

Explanation: It’s the only whole number and a polynomial can not be a whole number but must be an expression.

Over a season in a women's basketball league Jackson scored 40 more points than the second-highest scorer, Leslie. Together, Jackson and Leslie scored 1202 points during the season. How many points did each player score over the course of the season? ​

Answers

Answer:

Step-by-step explanation:

 

x+x+40=2

+ 4 0

2x+31=1205

2x=1205-31

2x=1174

x=1174/2

x=587

leslie will hace 587 score and

jackson =587+31= 618

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The circumference of a circle is 21.3mm.
Find the length of the radius.
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Answers

Answer:

r =3.4 mm

Step-by-step explanation:

circumference of a circle = 2πr

21.3 = 2*3.14*r

21.3 = 6.28*r

21.3 / 6.28 = r

3.39 = r

3.4 = r

How do u do parabola

Answers

Answer:

Step-by-step explanation:

Finding the vertex or the end of the shape.

Find the y -intercept, (0,f(0)) ( 0 , f ( 0 ) ) .

Solve f(x)=0 f ( x ) = 0 to find the x coordinates of the x -intercepts if they exist.

Make sure that you've got at least one point to either side of the vertex. ...

Sketch the graph.

The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?​

Answers

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-3+a}{2}=2[/tex]

[tex]-3+a=2\times 2[/tex]

[tex]a=4+3[/tex]

[tex]a=7[/tex]

And,

[tex]\dfrac{3+b}{2}=0[/tex]

[tex]3+b=0[/tex]

[tex]3+b-3=0-3[/tex]

[tex]b=-3[/tex]

Therefore, the coordinates of point B are (7,-3).

SOMEONE HELP ME PLEASE

The XYZ Car Rental Agency charges a flat rate of $29 per day plus $0.32 per mile driven. Write an algebraic expression for the rental cost of a car for x days that is driven y miles.

Answers

Answer:

Total Cost = 29x + 0.32y

Step-by-step explanation:

It is 29x since you pay $29 per day, and x represents the number of days.

It is 0.32y since you pay $0.32 per mile, and y represents the number of miles.


Please help with that answer someone please before 12:00an

Answers

Answer:

150 cause subtract 150 from 270 you get 150

Just subtract 270 milliliters (the amount of milk in the beginning) by the amount that’s left in the bottle. (120 milliliters)

Your answer is going to be that the baby drank...

150 milliliters!

Hope this helps! :D

What is 1/5 + 7/8 PLS HELP ME if you help me I’ll give you 20 points!

Answers

Answer:

1.075 or 43/40

Step-by-step explanation:

Answer:

1 3/40

Step-by-step explanation:

After the first exam in a statistics course, the professor surveyed 14 randomly-selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is: y​=6.3333x+53.0298.

Required:
a. Predict the exam score of a student who studies 2 hours.
b. Interpret the slope.
c. What is the mean score of students who did not study?
d. A student who studies 5 hours for the exam scored 81 on the exam. Is this student's exam score above or below average among all students who studies 5 hours?

Answers

Solution :

Given :

Equation :

y = 6.3333 x + 53.0298

Here, x = number of hours studied

         y = the exam score

a). To predict the exam score, we have to replace x in the least square regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (2) + 53.0298

      = 65.6964

Thus he predicted exam score is 65.6964

b). The slope is the co-efficient of x in the least squares regression line :

  Slope = 6.3333

 The slope represents the average increase in y as x increases by 1.

  The exam score increases on average by 6.3333 points per hour studied.

c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :

  y = 6.3333 x + 53.0298        

 y = 6.3333 (0) + 53.0298

    = 53.0298

d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :

   y = 6.3333 x + 53.0298

   y = 6.3333 (5) + 53.0298

   y = 84.6963

Thus the average exam score of a student who studied 5 hours is 84.6963

Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.

El primer día de la tormenta de nieve hubo 9,2 centímetros de nieve. Durante el segundo día de la tormenta, cayeron otros 18,2 centímetros. Si la nevada total durante la tormenta de nieve de tres días fue de 39,1 centímetros, ¿cuánta nieve cayó el tercer día?​

Answers

Answer:

11.7

Step-by-step explanation:

39.1 - 9.2 = 29.9

29.9 - 18.2 = 11.7

During which period did humans first appear on Earth?
Quaternary
Neogene
Paleogene
Cenozoic​

Answers

Answer:

According to Science, Quaternary.

Step-by-step explanation:

I took the quiz.

But really, the Earth is not that old. just a couple thousand years old.

There is no such thing as 2.3 million billion years ago. There is someone with a greater power above who created everything.

Hope this helps and have a great day!

:)

Answer:

A. Quaternary

Step-by-step explanation:

Write the equation and show work please

Answers

Answer:

y=-3x-5

Step-by-step explanation:

(-1, -2) (0, -5)

use slope formula

ΔY = (-5 – -2) = -3

ΔX = (0 – -1) = 1

m = -3

y=mx+b

-5 = -3(0)+b

b = -5

y=-3x-5

help!!! Choose the product . - 6p ^ 3 * (3p ^ 2 + 5p - 1)

Answers

Answer:

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

Step-by-step explanation:

[tex](-6p^{3} )(3p^2+5p-1)[/tex]

[tex](-6p^3)(3p^2)+(-6p^3)(5p)+(-6p^3)(-1)[/tex]

[tex]-18p^{5} -30p^{4} +6p^{3}[/tex]

hope this helps.....

Which points are on the graph of the function rule f(x) = 10 - 4x

Answers

It’s the second one
Anwser: The second!

Explanation:
Other Questions
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