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
ira [324]
3 years ago
8

A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the

student guesses on each​ question, what is the probability that the student will pass the​ test?
Mathematics
1 answer:
forsale [732]3 years ago
6 0
<h3>The probability of  student passing the quiz with  at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly  = (\frac{1}{2})   = p = 0.5

Also, the possibility of answering a question wrong  = (\frac{1}{2})  = q = 0.5

Now, to pass he needs to answer 8 or more (  8 , 9 or 10) answers correctly.

P(answering 8 correct answer)  = ^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2  = 0.0439

P(answering 9 correct answer)  =  ^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1  = 0.0097

P(answering 10 correct answer)  = ^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0  = 0.00097

So, the total Probability   = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz  with  at least 8 of the questions correct is 0.05457.

You might be interested in
James had $15,345.21 withheld from his income one year. He
puteri [66]

Answer:

$2,373.23

Step-by-step explanation:

-Tax refund is determined by comparing your total income tax to the amount that was withheld for federal income tax.

-Assuming that the amount withheld for federal income tax was greater than your income tax for the year, you will receive a refund for the difference.

#Refund =Withheld -Actual Tax liability=$15345.21-$12971.98=$2,373.23

Hence James' tax refund will be $2,373.23

5 0
2 years ago
Multiplying Polynomials <br> -(2x – 9)?
olchik [2.2K]
-2x+9. just distribute a -1
6 0
3 years ago
Read 2 more answers
150=3/5x what does x equal?
svetlana [45]

Answer:

250

Step-by-step explanation:

150/3=50

50*2=100

150+100=250

7 0
3 years ago
Read 2 more answers
if you horizontally shift the square root parent function, F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormu
Juli2301 [7.4K]

ANSWER

g(x) =  \sqrt{x + 4}

EXPLANATION

The parent square root function is

f(x) =  \sqrt{x}

The translation

g(x ) =  \sqrt{x + k}

Will shift the graph of f(x) k units to left.

The translation

g(x) =  \sqrt{x -k}

will shift the graph of f(x) to the right by k units.

Therefore if f(x) is shifted 4 units to the left its new equation is:

g(x) =  \sqrt{x + 4}

7 0
2 years ago
The product of a non-zero rational number and an irrational number can always be written as A.a fraction. B.a terminating decima
a_sh-v [17]
The product of a non-zero rational number and an irrational number is irrational.
Therefore C is the answer.
A, B, and D are all properties of rational numbers. Irrational numbers are ones that can not be written as a ratio, or fraction, using whole numbers. They are non-repeating, non-terminating numbers. Example would be pi.
6 0
2 years ago
Read 2 more answers
Other questions:
  • A movie cost $3,254,107 to produce. What digit is in the hundred thousands place?
    15·1 answer
  • 16 hours ÷803.2 miles
    14·1 answer
  • Isabela is comparing the values below. Wich list shows the values in descendent order.
    15·1 answer
  • Anca a citit 375 de pagini dintr-o carte. În fiecare zi, începând cu a doua zi, ea a citit cu 5 pagini mai mult decât în ziua pr
    13·1 answer
  • What's 6⁄7 written as a fraction with a denominator of 42? 
    9·1 answer
  • Passage : ( -5/6) + 2/4
    5·1 answer
  • I will give you brainelist
    11·1 answer
  • Simplify the expression. 7(-2-7k) +4 Show all work below
    14·1 answer
  • If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?
    11·2 answers
  • Need help on this one please
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!