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
Anastasy [175]
2 years ago
5

A new drug on the market is known to cure 24% of patients with colon cancer. If a group of 15 patients is randomly selected, wha

t is the probability of observing, at most, two patients who will be cured of colon cancer? 15 choose 2(0.24)2(0.76)13 15 choose 0(0.76)15 + 15 choose 1(0.24)1(0.76)14 + 15 choose 2(0.24)2(0.76)13 1 − 15 choose 2(0.24)2(0.76)13 15 choose 0 (0.76)15 1 − 15 choose 0 (0.76)15
Mathematics
1 answer:
Zigmanuir [339]2 years ago
4 0

Answer:

P = ₁₅C₀ (0.76)¹⁵ + ₁₅C₁ (0.24)¹ (0.76)¹⁴ + ₁₅C₂ (0.24)² (0.76)¹³

Step-by-step explanation:

Binomial probability:

P = nCr pʳ qⁿ⁻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 = 15, p = 0.24, and q = 0.76.

We want to find the probability when r is at most 2, which means r = 0, r = 1, and r = 2.

P = ₁₅C₀ (0.24)⁰ (0.76)¹⁵⁻⁰ + ₁₅C₁ (0.24)¹ (0.76)¹⁵⁻¹ + ₁₅C₂ (0.24)² (0.76)¹⁵⁻²

P = ₁₅C₀ (0.76)¹⁵ + ₁₅C₁ (0.24)¹ (0.76)¹⁴ + ₁₅C₂ (0.24)² (0.76)¹³

You might be interested in
7^-5 times 7^3 equals what, I need help asap please
djverab [1.8K]
Your answer is 7^(- 2) or \frac{1}{ 7^{2} } or \frac{1}{49}
5 0
2 years ago
For parallelogram ABCD, find the value of x.<br> 3x + 20<br> B<br> С<br> A А<br> D<br> 5x – 12
Arlecino [84]

Answer:

x = 16

Step-by-step explanation:

5x-12=3x+20

plus 12 both sides

5x=3x+32

-3x both sides

2x=32

divide by 2 both sides

x=16

4 0
2 years ago
Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando'
AleksandrR [38]
Let's start by assuming Armando's house is between Joey's and the park. 

Let x be the distance Joey walked to Armando's house.

<span>The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park. 

</span>\dfrac{9}{10} = x + \dfrac{3}{5}

x = \dfrac{9}{10} - \dfrac{3}{5} = \dfrac{9}{10} -\dfrac{6}{10} = \dfrac{3}{10}

That's probably the answer they're looking for.  But what if the park is between Joey and Armando's houses or Joey is between the park and Armando?  (The latter isn't really possible with the given distances.)

Let a, b, c be the distances between three collinear points like we have here.  Our equation is really a few equations in one, something like

\pm a \pm b = \pm c

Let's get rid of the plus/minuses. Squaring,

a^2 + b^2\pm 2ab = c^2

\pm 2ab = c^2-a^2-b^2

4a^2b^2 = (c^2-a^2-b^2)^2

For us, that's a quadratic equation for c^2

4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2

I'll skip right to the solutions,

c^2=\dfrac{9}{100} \textrm{ or } c^2=\dfrac{9}{4}


c=\dfrac{3}{10} \textrm{ or } c=\dfrac{3}{2}

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

6 0
3 years ago
Given the two expressions below: 1) 4x2 − 8x + 9 2) 3x2 + 2y + 6 Is the sum of the two expressions above a polynomial? Why or wh
Mkey [24]
Sum of polynomials are always polynomials.

Note that despite it's name, single constants, monomials, binomials, trinomials, and expressions with more than three terms are all polynomials.
For example,
0, &pi; sqrt(2)x, 4x+2, x^2+3x+4, x^2-x^2, x^5+x/ &pi; -1
are all polynomials.

What makes an expression NOT a polynomial?
Expressions that contain non-integer or negative powers of variables, rational functions, infinite series.
For example,
sqrt(x+1), 1/x+4, 1+x+ x^2/2!+x^3/3!+x^4/4!+...., (5x+3)/(6x+7)
are NOT polynomials.

8 0
3 years ago
-12=5(6x+4)+7(x+6) is the question
Ilia_Sergeevich [38]

Answer:

x=-2

Step-by-step explanation:

-12=5(6x+4)+7(x+6)

30x+20+7x+42=-12

37x+62=-12

37x=-12-62

37x=-74

x= -2

I hope this will help you

3 0
3 years ago
Other questions:
  • What is the output when the input is 24.5?<br> A.85.75<br> B.28<br> C.49<br> D.28<br> E.27.5
    6·2 answers
  • Which of the list of letters all have line symmetry?
    10·1 answer
  • Help, I don’t understand.
    12·1 answer
  • { x - 2y = -8<br> {6x + 7y=9
    14·1 answer
  • Which of the following is a trinomial?
    6·2 answers
  • (pic attached) Can someone help me with this question? Thank you so much!
    12·2 answers
  • HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • Please need help thank
    5·2 answers
  • The circumference of a circular table top is 20 π centimeters. what is the area of the tabletop.
    9·1 answer
  • (x4 - 4x3 + 2x2 - 4x + 1) / (x2 + 1)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!