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givi [52]
3 years ago
5

Rework problem 17 from section 4.1 of your text about a multiple-choice test in which each question has 4 choices only one of wh

ich is correct. Assume that 9 questions are answered by guessing randomly. What is the probability of getting exactly 4 correct answers?
Mathematics
1 answer:
12345 [234]3 years ago
7 0

Answer:

probability that exactly 4 out of 9 questions are correct   is 0.111

Step-by-step explanation:

Given data:

Test consist of multiple choice question which as 4 choices

Total number of answer randomly = 9

Probability of having 4 answer correctly is calculated as

p = probability of having particular question is answered in correct way  

  = 1/4 = 0.25

q = probability of having particular question is answered incorrectly  

  = 3/4 = 0.75

Binomial expansion is beneficial in various situations at which   numerical  variables are present that are countable or whole numbers 

probability that exactly 4 out of 9 questions are correct  

 = ^9C_4 (0.25)^4 (0.75)^5

  = 120\ times 0.00390 \times 0.2373

   = 0.111

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The scale of a certain map is 4/5 inch = 16 miles. A square park is represneted on the map by a square with side length 5/8 inch
lions [1.4K]

Answer:

The area of this park is 130.60 square miles.

Step-by-step explanation:

Given : The scale of a certain map is \frac{4}{5} inch = 16 miles. A square park is represented on the map by a square with side length \frac{5}{8} inch.

To find : What is the actual area of this park?

Solution :

The scale of a certain map is \frac{4}{5} inch = 16 miles.

Let the side length of \frac{5}{8} inch = x miles.

So, \dfrac{\frac{4}{5}}{\frac{5}{8}}=\dfrac{16}{x}

\dfrac{4\times 8}{5\times5}=\dfrac{16}{x}

\dfrac{32}{25}=\dfrac{16}{x}

x=\dfrac{16\times 25}{35}

x=11.428

The side length of a square is 11.428 miles.

The area of the square is A=s^2.

A=(11.42)^2

A=130.599\ miles^2

To nearest hundredth,

The area of this park is 130.60 square miles.

8 0
3 years ago
What is that is the derivative of
katovenus [111]

Answer:

see explanation

Step-by-step explanation:

differentiate using the power rule.

\frac{d}{dx}( ax^{n} ) = nax^{n-1} , thus

\frac{d}{dx}(x² - x + 3 ) = 2x - 1

x = 5 → 2(5) - 1 = 10 - 1 = 9

To find the value of x for minimum , equate \frac{d}{dx} to zero

2x - 1 = 0 , then

2x = 1 and

x = \frac{1}{2}

3 0
3 years ago
I’m tired and I need to explain this. But I don’t feel like writing it
alina1380 [7]

Answer:

area of the figure A is 7.5m^2

Step-by-step explanation:

figure A is the combination of rectangle and triangle.

so

area of figure A = area of triangle + area of rectangle

= 1/2 X b X h + L X b

= 1/2 X 1 X (1+1+1) + (1+1+1) X (1+1)

= 0.5 X 1 X 3 + 3 X 2

= 1.5 + 6

= 7.5 m^2

8 0
2 years ago
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The probability that lucy will do. The drawing is 0.125. What is the probability that she will not win
gogolik [260]

Answer:

probability is alway 1 or less than 1

therefore the probability is 0.125/1

3 0
2 years ago
Write the equation in slope-intercept form. What are the slope and y-intercept?
Schach [20]
Slope intercept form is y=mx+b

Y= y intercept
M = slope
B = x intercept

-2x-11y= 5              get the y by itself
-11y = 2x + 5            divide by -11



y = -2/11x + 5/11

slope is -2/11
7 0
3 years ago
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