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
monitta
3 years ago
12

A student takes a 10 multiple choice test by guessing. Each question has 4 choices use the binomial distribution to compute the

student gets at least 7 correct
Mathematics
1 answer:
stiv31 [10]3 years ago
3 0
WE have 10 questions, the answer is either right or wrong whatever the number of choices. Then P(right) = 1/2 and Q(wrong) =1/2
Moreover as per the given of the problem, he may get at least 7 right answers, that means he can get 7 OR 8 OR 9 OR 10 right answers:
Here-below the binomial probability distribution:

 a) for 7 exactly right answers : ¹⁰C₇ (1/2)⁷(1/2)³     =  0.117187

b) for 8 exactly right answers : ¹⁰C₈ (1/2)⁸(1/2)²      =  0.043945

c) for 9 exactly right answers : ¹⁰C₉ (1/2)⁹(1/2)¹      =  0.009656

d) for 10 exactly right answers : ¹⁰C₁₀ (1/2)¹⁰(1/2)⁰  = 0.000488
                                                                                  -------------
                                                  Σ (PROBABILITY) =  0.171276

P( 7 or 8 or 9 or 10) = 0.1712 OR 17.12%


You might be interested in
the polynomial 10x 3 + 35 x 2 -4 x -14 is Factor by grouping what is the common factor that is missing both sets of parentheses​
My name is Ann [436]

Answer:

Step-by-step explanation:

10x^3 + 35x^2 - 4x - 14

5x^2(2x + 7) - 2(2x + 7)

(5x^2 - 2)(2x + 7)

5 0
3 years ago
Find out three numbers such that the product of the first and the second is 24, that of the second and the third is 48, and that
Brums [2.3K]
the answer to this question is 4 6 and 8
3 0
3 years ago
Plz help! It’s not hard I just don’t properly understand
jonny [76]

Answer:

a_{13}=2(13)+13=39

39 is the 13th term

Step-by-step explanation:

Okay so essentially the a_n is just a substitute for x.

See how in the equation they put n into the x spot:

y=mx+b\\a_n=mn+b\\a_n=2n+13

They changed the variable names:

y=a_n\\m=2\\n=x\\b=13

Now we know what the n actually means, plus when they ask about the terms youre trying to find it's based off of that n:

When they say, 13 term, they mean a_{13} which would be the 13th answer in the series.  So the first term would be based off of a_1

a_1=2(1)+13\\a_1=15

So whatever number is in the n position by a is what you'll be plugging into the x spot.

y=mx+b\\a_n=2n+13\\a_1=2(1)+13=15\\a_2=2(2)+13=17\\a_3=2(3)+13=19\\a_4=2(4)+13=21\\a_5=2(5) +13=23\\a_6=2(6)+13=25\\a_7=2(7)+13=27\\a_8=2(8) +13=29\\a_9=2(9)+13=31\\a_{10}=2(10)+13=33\\a_{11}=2(11)+13=35\\a_{12}=2(12)+13=37\\a_{13}=2(13)+13=39

These are all the answers leading up to the 13th term they asked for, and you can continue thus same equation with whatever number you can put into the n space.

7 0
2 years ago
Need help with this asap pls really need the answer
Marina CMI [18]

In the diagram, the area of the given shape is 102 cm²

<h3>Area of a Kite </h3>

From the question question, we are to determine the area of the given shape

The given shape is a kite

The area of a kite is given by the formula,

A =\frac{pq}{2}

Where A is the area

p and q are the diagonals

In the given diagram,

p = 6cm + 6 cm = 12 cm

q = 3 cm + 14 cm = 17 cm

Thus,

Area of the kite = \frac{12 \times 17}{2}

Area of the kite = 6 × 17

Area of the kite = 102 cm²

Hence, the area of the given shape is 102 cm²

Learn more on Area of a kite here: brainly.com/question/20597161

#SPJ1

3 0
2 years ago
Figure ABCD is a parallelogram. If ABCD is also a rhombus, what must be the value of x? 13 15 18 23
nevsk [136]

Answer: First option 13

Solution

If ABCD is a rhombus, the diagonals must be perpendicular, then the angle (5x+25)° must be a right angle (90°):

(5x+25)°=90°

5x+25=90

Solving for x: Subtracting 25 both sides of the equation:

5x+25-25=90-25

Subtracting:

5x=65

Dividing both sides of the equation by 5:

5x/5=65/5

Dividing:

x=13

Answer: The value of x must be 13

6 0
3 years ago
Read 2 more answers
Other questions:
  • Five plus three equals
    12·2 answers
  • Bo buys a 3 pound bag of trail mix for a hike.He wants to make one-ounce bags for his friends with whom he is hiking.How many on
    6·1 answer
  • Need help with the problem in the photo.
    6·2 answers
  • How to do this question plz ​
    13·1 answer
  • Brooke cooked a 4/1/3-pound lasagna in 1/1/3 hours. How many hours per pound did it take to cook the lasagna?
    7·1 answer
  • Please Help!!!
    5·1 answer
  • Please answer these Expressions
    5·1 answer
  • Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.
    7·2 answers
  • Four decreased by the product of a number and 7 is equal to 11
    7·2 answers
  • What is the difference?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!