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Naily [24]
3 years ago
9

Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, fin

d
Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Complete question is;

Multiple-choice questions each have 5 possible answers, one of which is correct. Assume that you guess the answers to 5 such questions.

Use the multiplication rule to find the probability that the first four guesses are wrong and the fifth is correct. That is, find P(WWWWC), where C denotes a correct answer and W denotes a wrong answer.

P(WWWWC) =

Answer:

P(WWWWC) = 0.0819

Step-by-step explanation:

We are told that each question has 5 possible answers and only 1 is correct. Thus, the probability of getting the right answer in any question is =

(number of correct choices)/(total number of choices) = 1/5

Meanwhile,since only 1 of the possible answers is correct, then there will be 4 incorrect answers. Thus, the probability of choosing the wrong answer would be;

(number of incorrect choices)/(total number of choices) = 4/5

Now, we want to find the probability of getting the 1st 4 guesses wrong and the 5th one correct. To do this we will simply multiply the probabilities of each individual event by each other.

Thus;

P(WWWWC) = (4/5) × (4/5) × (4/5) × (4/5) × (1/5) = 256/3125 ≈ 0.0819

P(WWWWC) = 0.0819

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Elainas old bicycle had tires with a 12-inch diameter her new bicycle had tires with a 16-inch diameter what is the difference i
mr Goodwill [35]

Answer:

The difference between the circumference of the tires is 12.56 inches.

Step-by-step explanation:

Given:

Diameter of old bicycle tires = 12 inch

Diameter of new bicycle tires = 16 inch

We need to find the difference in circumference of the tires.

Solution:

First we will find the circumference of Old bicycle tires.

Circumference can be calculated by π times diameter.

Circumference of Old bicycle tire = \pi \times 12 = 37.68\ in

Now we will find the circumference of new bicycle tire.

Circumference of New bicycle tire = \pi \times 16 = 50.24\ in

Now to find the difference between the circumference of the tires we will subtract Circumference of New bicycle tire from Circumference of Old bicycle tire we get;

framing in equation form we get;

difference between the circumference of the tires = 50.24-37.68 =12.56\ in

Hence The difference between the circumference of the tires is 12.56 inches.

5 0
3 years ago
Harper is knitting a scarf for her cousin's birthday. She plans to knit every night, making the scarf 5 centimeters longer each
MissTica

The equation that shows the relationship between x and y is:

y = 5x

A linear equation is in the form:

y = mx + b

where m is the rate of change and b is the initial value of y, y, x are variables.

Let x represent the number of nights knitting and y represent the length of the scarf.

The equation that shows the relationship between x and y is:

y = 5x

Find out more at: brainly.com/question/13911928

8 0
3 years ago
I need help is it A B C or D
myrzilka [38]
C.)
Since the ideal width is 7 cm and can vary by most 0.3 cm. This means the range is 6.7 cm to 7.3 cm Absolute value means that any negative number becomes positive. l 6.7 -7 l and l 7.3 - 7 l both equal 0.3 cm
l w - 7 l </= 0.3
6 0
3 years ago
HJ
Olin [163]

Answer:

19 degrees

Step-by-step explanation:

From the question given

The interior angles are x+12 and x - 3

Exterior angle is <IJK = 5x-6

Using the rule that states that the sum of interior angle of a triangle is equal to the exterior

<JHI + <HIJ = <IJK

x+12 + x-3 = 5x - 6

2x+9 = 5x -6

2x - 5x = -6-9

-3x = -15

x = -15/-3

x = 5

Get <IJK

Recall that <IJK = 5x - 6

<IJK = 5(5) - 6

<IJK = 25-6

<IJK = 19 degrees

Hence the measure of <IJK is 19 degrees

8 0
3 years ago
John's salary is $1250 a month plus a 5% commission on all his sales. What must the amount of his sales be to earn at least $150
rewona [7]

Answer:

5,000

Step-by-step explanation:

5,000 x .05 = 250

250 + 1,250 = 1,500

3 0
2 years ago
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