1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleksandr [31]
3 years ago
15

Assume that when adults with smartphones are randomly selected, 35% use them in meeting or classes. if 7 adults smartphones user

s are randomly selected, find the probability that exactly 4 of them use their smartphones in meeting or classes.
The probability is
Mathematics
1 answer:
likoan [24]3 years ago
7 0
This is a binomial probability problem
p = 0.35 = chance of picking 1 person who uses smartphones during meeting/class

n = 7 = sample size

k = 4 = target number of people who use their smartphone

Compute nCk = 7C4 using the nCr combination formula

nCr = (n!)/(r!*(n-r)!)
7C4 = (7!)/(4!*(7-4)!)
7C4 = (7*6*5*4!)/(4!*3!)
7C4 = (7*6*5)/(3!)
7C4 = (210)/(6)
7C4 = 35

Use this coefficient to find the binomial probability
B(k) = binomial probability for input k
B(k) = (nCk)*(p^k)*(1-p)^(n-k)
B(4) = (7C4)*(0.35^4)*(1-0.35)^(7-4)
B(4) = 35*(0.35^4)*(0.65)^3
B(4) = 0.144238

So the approximate answer is 0.144238
This value is accurate to 6 decimal places



You might be interested in
7. In the accompanying diagram of rhombus CDEF, diagonal FD is drawn and the
tatiyna

Answer:

m∠CFD is 70°

Step-by-step explanation:

In the rhombus

  • Diagonals bisect the vertex angles
  • Every two adjacent angles are supplementary (their sum 180°)

Let us solve the question

∵ CDEF is a rhombus

∵ ∠E and ∠F are adjacent angles

→ By using the second property above

∴ ∠E and ∠F are supplementary

∵ The sum of the measures of the supplementary angles is 180°

∴ m∠E + m∠F = 180°

∵ m∠E = 40°

∴ 40° + m∠F = 180°

→ Subtract 40 from both sides

∵ 40 - 40 + m∠F = 180 - 40

∴ m∠F = 140°

∵ FD is a diagonal of the rhombus

→ By using the first property above

∴ FD bisects ∠F

→ That means FD divides ∠F into 2 equal angles

∴ m∠CFD = m∠EFD = \frac{1}{2} m∠F

∴ m∠CFD = \frac{1}{2} (140°)

∴ m∠CFD = 70°

6 0
3 years ago
A man can buy 20 mangoes or 30 oranges. If he wants a each amount of each, how many of each would he get? Write an EQUATION to s
DochEvi [55]

Answer:

12

Step-by-step explanation:

In this question, there are two variables: the number of mangoes(y) bought and the number of oranges bought(x).

Let's say the man have z money, mangoes price is \frac{1}{20}z and the oranges price is \frac{1}{30}z. The equation for money and number of mangoes and oranges will be:

money = mango price * mangoes bought + orange price * orange bought

z= \frac{1}{20}z * x + \frac{1}{30}z *y

1= \frac{1}{20}x +\frac{1}{30}y

-\frac{1}{30}y= \frac{1}{20}x -1

y= -1.5x + 30

y= 30 - 1.5x

If he want equal number of mango and orange, that mean y=x. The calculation will be:

y= 30 - 1.5x

x= 30 - 1.5x

x+ 1.5x = 30

2.5x= 30

x= \frac{30}{2.5}= 12

8 0
3 years ago
Which of the following numbers is a multiple of 6?
gizmo_the_mogwai [7]
333 because 3 goes in 6 twice so 3 3s go in 3 6s 333+333=666
8 0
3 years ago
Read 2 more answers
Miss Sandy is fencing in her rectangular backyard which is 3x^2 feet wide and 4xy + 5x^3 y^2 feet long. Find perimeter of yard H
hjlf

Given:

Width of rectangular backyard = 3x^2 feet

Length of rectangular backyard = 4xy+5x^3y^2 feet

To find:

The perimeter of yard.

Solution:

Formula or perimeter of a rectangle is

Perimeter=2(length +width)

Using this formula, the perimeter of the rectangular backyard is

Perimeter=2(4xy+5x^3y^2+3x^2)

Perimeter=8xy+10x^3y^2+6x^2

Therefore, the perimeter of the rectangular backyard is 8xy+10x^3y^2+6x^2 feet. So, 8xy+10x^3y^2+6x^2 feet fencing is needed.

4 0
3 years ago
$39 pizza order 15% tip
Svetllana [295]
44.85 BOOM get answered ~ vinny
8 0
3 years ago
Read 2 more answers
Other questions:
  • Mike rides his motor cycle 18 miles in 1/2 hours what is his average speed in mph
    14·2 answers
  • What is the measure of each interior angle in a regular 15-gon?
    7·2 answers
  • Evaluate the expression using the distributive property 8(7+7)
    7·2 answers
  • Which expression has a value of 36?
    13·1 answer
  • Pauling works out with a 2.5-kilogram mass. what is the mass of the 2.5-kilogram <br> mass in grams
    9·1 answer
  • I really need help pleaseee on the ones I got wrong
    6·1 answer
  • Your mother gave you $13.32 to buy a present. This covered 1/5 of the cost. How much did the present cost?
    13·1 answer
  • Answer it answer it answer it
    11·2 answers
  • An ice cream cone has a radius of 3 inches and a height of 9 inches. What is the exact value of the volume of the ice cream cone
    8·2 answers
  • Keith bought a bag of parsnips that weighed 5 pounds. he also bought a bad of turnips that weighed 2 1/2 times as much as the pa
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!