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
Lunna [17]
3 years ago
10

A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the

class. Assume that 16 students have registered for the course. What is the probability that exactly 2 will withdraw?
Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

You might be interested in
How many gallons each of 20​% alcohol and 10​% alcohol should be mixed to obtain 10gal of 11​% ​alcohol?
Scilla [17]

Answer:

20​% alcohol = 1 gal

10​% alcohol = 9 gal

Step-by-step explanation:

Let

x = 20​% alcohol

y = 10​% alcohol

x + y = 10 (1)

0.20x + 0.10y = 10*0.11

0.20x + 0.10y = 1.1 (2)

From (1)

x = 10 - y

Substitute x = 10 - y into (2)

0.20x + 0.10y = 1.1

0.20(10 - y) + 0.10y = 1.1

2 - 0.20y + 0.10y = 1.1

- 0.20y + 0.10y = 1.1 - 2

-0.10y = -0.9

y = -0.9/-0.10

y = 9 gal

substitute y = 9 into (1)

x + y = 10

x + 9 = 10

x = 10 - 9

x = 1 gal

20​% alcohol = 1 gal

10​% alcohol = 9 gal

6 0
3 years ago
‼️ PLEASEEE HELPPPP ‼️
V125BC [204]

Answer: answer is in the photo

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
HELP ME AND YOU'LL GET 95 POINTS ASAP
Makovka662 [10]

Answer: See explanation. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the rate of change, subtract then divide. This is especially a good strategy when you have the x and y values when x = 0:

604 - 460 = 144

144 divided by 18 =

8

Therefore, the rate of change is 8. We can even go further to create an equation for this:

y intercept = 460 (because 0 multiplied by the rate of change would be 0).

slope = 8

Slope-intercept form: y = mx + b --> y = 8x + 460

Hope this helps, please consider making me Brainliest.

8 0
2 years ago
Solve the equation on the interval [0, 2pi): 12cos^2 x-9=0<br><br><br> What to do?
siniylev [52]

Answer:

\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}

Step-by-step explanation:

12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}

6 0
3 years ago
A large scale weigh 3000 pound 5 ounces, which of the following scale weigh in ounces​
Iteru [2.4K]

Answer:

48005 ounces

Step-by-step explanation:

1 pound = 16 ounces

7 0
3 years ago
Other questions:
  • The number A is about 8 times greater than B . Find the correct value of a and b.
    15·2 answers
  • 3. Russell is filling a cylinder-shaped swimming pool that
    5·2 answers
  • If a = 4 and b = 2, what is the value of the following expression?
    9·2 answers
  • In an international track competition, there are 5 United States athletes, 4 Russian athletes, 3 French athletes, and 1 German a
    8·1 answer
  • Which choice is equivalent to the quotient shown here for values of x?
    7·1 answer
  • The radius of a circle is 9 feet. What is the circumference?
    13·2 answers
  • Solve for x. Enter the solutions from least to greatest. Round to two decimal places. (x-6)^2-5=0 lesser x= , greater x=​
    11·1 answer
  • Helppp please? <br>asap if possible ​
    5·1 answer
  • Find the value of x.<br> 630<br> 440<br> x + 81
    14·1 answer
  • Chase made a scale drawing of a neighborhood park. The scale of the drawing was 1 millimeter : 8 meters. The volleyball court is
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!