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
scZoUnD [109]
2 years ago
13

Find the indicated probability. round to three decimal places. a test consists of 10

Mathematics
1 answer:
Charra [1.4K]2 years ago
7 0

To answer this problem, we use the binomial distribution formula for probability:

P (x) = [n! / (n-x)! x!] p^x q^(n-x)

Where,

n = the total number of test questions = 10

<span>x = the total number of test questions to pass =   >6</span>

p = probability of success = 0.5

q = probability of failure = 0.5

Given the formula, let us calculate for the probabilities that the student will get at least 6 correct questions by guessing.

P (6) = [10! / (4)! 6!] (0.5)^6 0.5^(4) = 0.205078

P (7) = [10! / (3)! 7!] (0.5)^7 0.5^(3) = 0.117188

P (8) = [10! / (2)! 8!] (0.5)^8 0.5^(2) = 0.043945

P (9) = [10! / (1)! 9!] (0.5)^9 0.5^(1) = 0.009766

P (10) = [10! / (0)! 10!] (0.5)^10 0.5^(0) = 0.000977

Total Probability = 0.376953 = 0.38 = 38%

<span>There is a 38% chance the student will pass.</span>

You might be interested in
Simplify each expression. Write your answers in exponential notation.
GenaCL600 [577]

\bf ~~~~~~~~~~~~\textit{negative exponents}&#10;\\\\&#10;a^{-n} \implies \cfrac{1}{a^n}&#10;\qquad \qquad&#10;\cfrac{1}{a^n}\implies a^{-n}&#10;\qquad \qquad&#10;a^n\implies \cfrac{1}{a^{-n}}&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;\left( \cfrac{36b^3}{9a^5} \right)^3\implies \left( \cfrac{4b^3}{a^5} \right)^3\implies \stackrel{\textit{distributing the exponent}}{\left(\cfrac{4^3b^{3\cdot 3}}{a^{5\cdot 3}}\right)}\implies \cfrac{64b^9}{a^{15}}

3 0
3 years ago
0 .17 as a fraction​
valentina_108 [34]
0.17 as a fraction would be 17/100
7 0
3 years ago
Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60
RSB [31]

Answer:

f(x)=2x^{3}+24x^{2}+82x+60

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

f(x)=a(x+6)(x+5)(x+1)

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

60=a(0+6)(0+5)(0+1)

60=a(6)(5)(1)

60=30a

a=2

so

f(x)=2(x+6)(x+5)(x+1)

Applying the distributive property

Convert to expanded form                  

f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60

3 0
3 years ago
50 POINTS HELP PLS
Lubov Fominskaja [6]

Answer:

this the answery=x/3+2

7 0
2 years ago
The yellow container holds 2/3 less liquid than the blue container. The blue container holds 15 gallons. How much does the yello
Lunna [17]
15 divided by three is five so 2x5= 10 so the yellow container holds 10 gallons
8 0
3 years ago
Read 2 more answers
Other questions:
  • What are the coordinates
    6·1 answer
  • A scooter can travel 72 mi per gallon of gasoline and holds 2.3 gal. the function d(x)-72x represents the distance d(x), in mile
    5·1 answer
  • help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz! can anyone answer all of the unanswered questions in the
    14·2 answers
  • An isosceles triangle has base angles measuring 25 degrees each. What is the measure of the vertex angle?
    13·1 answer
  • Solve this equation: –9h – 6 + 12h + 40 = 22.
    11·2 answers
  • Your ere rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrsssssssssssssssssssss
    5·1 answer
  • Write the expression for the perimeter of the triangle below.Simplify.Must show work(Formula for Perimeter is P=S+S+S)​
    11·1 answer
  • If the m&lt;1<br> =<br> 40, what is the m&lt;3?<br> A(80<br> B(10<br> C(40<br> D(100
    14·1 answer
  • What is the value of x? two angles<br> 8x-8, 7x+8
    15·2 answers
  • Emma bought 24 pounds of clay. She wants to divide it into bags with 4 pounds of clay in each bag. How many bags can Emma fill
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!