A circular dartboard with a diameter of 24 inches has a circular bullseye at its center. The diameter of the target is 10 inches. If a poorly thrown dart is equally likely to hit anywhere on the dartboard, what is the probability of it hitting the target? (Write your answer as a fraction.)

Answers

Answer 1

The value of the probability of hitting the target is 0.1736.

According to the statement

We have to find that the value of the probability.

So, For this purpose, we know that the

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

From the given information:

A circular dartboard with a diameter of 24 inches has a circular bullseye at its center. The diameter of the target is 10 inches.

Then

Area of a circular dartboard = [tex]\pi r^{2}[/tex]

Area of a circular dartboard = [tex](3.14)* 12^{2}[/tex]

Area of a circular dartboard = [tex](3.14) *144[/tex]

Area of a circular dartboard = 452.16 inches

And then

Area of a circular bullseye = [tex]\pi r^{2}[/tex]

Area of a circular bullseye = [tex](3.14)* 5^{2}[/tex]

Area of a circular bullseye = [tex](3.14) * 25[/tex]

Area of a circular bullseye = 78.5

Then

Probability of hitting the target = Area of a circular bullseye / Area of a circular dartboard

Probability of hitting the target = 78.5 / 452.16

Probability of hitting the target = 0.1736.

So, The value of the probability of hitting the target is 0.1736.

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Related Questions

5.21 x 10 to the power of 9 in standard notation

Answers

Answer:  5210000000

Step-by-step explanation:9 places to the right from the decimal

Answer:

5210000000

Step-by-step explanation:

Move the decimal point nine places to the left to get your answer.

An albatross is flying 87 m above the surface of the ocean. Directly below the albatross, a sea gull is flying 6 m above sea level. Directly below
the birds is a shark, swimming 23 m below sea level. Determine each of the following. Explain your work for each.
a) The difference in height between the sea gull and the shark.
b) The distance between the heights of the sea gull and the shark.

Answers

Using simple addition and multiplication, we concluded that the difference in height between sea gull and shark is 17m and distance between the heights of the sea gull and the shark is 29m.

Given,

Albatross is flying 87 m above the surface of the ocean

Sea gull is flying 6 m above sea level

shark is swimming 23 m below sea level

a) The difference in height between sea gull and shark is -

23m - 6m

= 17m

b) The distance between the heights of the sea gull and the shark is -

23m + 6m

= 29m

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Correct answer gets brainly!

Answers

It’s 90 degrees due to it being a right angle

You are writing up plans for a table from a 4 foot by 8 foot rectangular sheet of plywood. The table top will be square and the top face must be sanded. Which of the following is closest to the side length in feet of largest square you can cut from the sheet of plywood

Answers

4 foot.

Given that

a rectangular sheet of plywood with dimension 4 foot × 8 foot

Area of rectangle = length × breadth

length of the rectangle = 4 foot  

breadth = 8 foot.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Since we have to cut the plywood.

And, form a square from it.

we know that all sides of square are same.

The largest square you can cut from a rectangle will have a side length equal to the smallest dimension of the rectangle.

Therefore both are squares of sides 4 foot.

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Given the equation y = 3x + 7, which word(s) best describes the 3? Select all that apply.
*
slope
y-intercept
x-intercept
coefficient
constant

Answers

Slope & coefficient

This equation is a linear equation in slope-intercept form. The 3 describes the slope of the line and is a coefficient for the variable x.

need help getting Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term i have a test due in a couple days and i don’t got money for a textbook

Answers

a) Basic mathematical expression

b)completely factorized polynomial

a) Algebra is a subject that is based on the principles of mathematics. Understanding basic mathematical expressions like addition, subtraction, multiplication, and division is essential to learning algebra and solving equations.

The basic mathematical expression = +, -, x, /

b)A polynomial can be called a fully modulus polynomial if I can't factor it anymore using any of the methods of parsing. This is a polynomial that has been completely factored. The power of it is mostly attributed to its effectiveness.

The completely factorized polynomial of the polynomial 2x² - x - 6 is (2x + 3)(x -2).

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1 teaspoon of 3. Natasha made a sauce in cooking class. She used 2 cups of cream, salt, cup of chives and 1 cups of butter. Approximately how many cups of 4 A ingredients did she use?,​

Answers

We need to know about mixed fraction to solve this problem. Natasha used approximately 4 cups of ingredients.

A mixed fraction is a fraction that is represented with its quotient and remainder. For example there is a mixed fraction [tex]5\frac{2}{3}[/tex] where 5 is the quotient and 2 is the remainder. To convert a mixed fraction to a simple fraction we multiply the denominator by the quotient and add the remainder to it to get the numerator of the simple fraction, the denominator remains the same. In this question we have to find the cups of ingredients that Natasha uses to make the sauce, we have to simplify all the mixed fractions and then add the fraction together to get the number of cups.

cups of cream=[tex]2\frac{3}{4}[/tex]=11/4

teaspoon of salt =1/2

cups of chive=3/8

cups pf butter=[tex]1\frac{1}{4}[/tex]=5/4

total cups of ingredients used= 11/4+3/8+5/4=(22+3+10)/8=35/8≈4 cups

Therefore we found out that the total number of cups natasha uses to make the sauce is 4.

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Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?

Answers

Answer:

3x+2y=8.75

2x+4y=8.5

solving above two we get 

x=9/4

y=1

Then x+3y=2.25 + 3=5.25

Step-by-step explanation:

Determine whether the following procedure results in a binomial distribution or a distribution that
can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not
binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied.
In a Pew Research Center survey of 150 subjects, the ages of the respondents are
recorded.

Answers

The correct statement regarding whether the situation results in a binomial distribution is:

C. It is not binomial because there are more than two possible outcomes.

What is required for the binomial distribution to represent a situation?

Three things are needed for a situation being represented by the binomial distribution:

Each trial having only two possible outcomes, one equivalent to success and one to failure.Fixed number of trials.Each trial is independent, that is, the probability of a success on a single trial is independent of any other trial.

For this problem, for each respondent, there are multiple possible ages, a number greater than 2, hence the binomial distribution cannot be used and option c is correct.

The trials are independent, because the age of a respondent is not related to the age of any other respondent, hence option b is wrong.

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Is the situation an example of a continuous or discrete relation?
a. Bag of Apples
b. Distance from here to the moon
c. Area of a circle
d. Number of telephones calls made each day
e. The height of a ball as it is thrown into the air.
f. The balance in an account over a week.

Answers

The variables are:

a) discrete.

b) continuous.

c) continuous.

d)  discrete.

e) continuous.

f)  discrete.

Is the situation an example of a continuous or discrete relation?

A continuos variable can take any value in a dense set, while a discrete variable can only take some selected values.

a) "Bag of apples"

Here the variable is the number of apples in the bag, we can only have whole numbers of apples, then this variable is discrete.

b) "Distance from here to the moon"

This is a distance, so the value is continuous.

c) "Area of a circle"

Exactly like in the case above, the area is continuous.

d) "Number of telephone calls made each day"

Like in the first example, here the variable can only take whole numbers thus, it is discrete.

e) "The height of a ball as it is thrown into the air."

Similar than case b, a height can take any value on a given range, thus, this is continuous.

f) "The balance in an account over a week."

Here the balance can only be a number followed by 2 digits after the decimal point, so from:

$23.50

We can only go up to:

$23.51

Then all the values in between are not allowed, this means that the variable is discrete.

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1/2|4x + 3/4|>7/8
solve the inequality. express the answer using interval notation

Answers

Answer:

2.35

Step-by-step explanation:

three lakes lost water during a drought. Lake Jensen lost 1/6 of its water, Lake parlow lost 26% of its water, and lake stockton lost 33/200. which lake lost the least amount of water whats the answer?

Answers

Answer:

lake stockton

Step-by-step explanation:

26% is equal to 26/100

you have to figure out a common denominator for all three numbers. the easiest for me was 600

to get from 1/6 to x/600 you multiply by 6 so you do the same to the top. equaling 100/600

for 26/100 you times top and bottom by 6 equaling 156/600

for 33/200 you multiply by 3 on both equaling 99/600

now you can clearly see that 99/600 is the least amount

During the past week, an accounting firm made a total of 77 long distance calls to its clients. Twenty-four of the calls were less than or equal to 30 minutes in duration while 41 of the calls were less than or equal to 40 minutes. The longest call was one hour and fifty-five minutes and the tenth percentile of the length of calls was 20 minutes.

Step 4 of 5 : What percentage of the calls were greater than 30 minutes in duration? Round your answer to the nearest whole number percentage.

Answers

The percentage of the calls were greater than 30 minutes in duration is 69%.

How to illustrate rye information?

Let N = 77 Total long-distance calls

X= 24 calls are less than or equal to 30 minutes duration

Y = N - X= 77 - 24= 53 calls are greater than 30 minutes duration

To find the percentage of calls greater than 30 minutes duration. This goes thus:

= Number of calls greater than 30 minutes / Total calls

= 53 / 77

= 0.69

Therefore, 69% of the call were greater than 30 minutes in duration.

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"24 hours per day" in math

Answers

Answer:

24 hours/day

Step-by-step explanation:

Can you help me I ve tried so many times already, can’t seem to get it right

Answers

The following numbers are tested based on the divisibility rule:

Number: 1,843Sum of the digits: 1 + 8 +4 + 3 = 16Divisible by 2: NoDivisible by 3: NoDivisible by 6: No

Number: 4,677Sum of the digits: 4 + 6 + 7 + 7 = 24Divisible by 2: NoDivisible by 3: YesDivisible by 6: No

Number: 324,930Sum of the digits: 3+2+4+9+3+0= 21Divisible by 2: YesDivisible by 3: YesDivisible by 6: yes

Number: 866Sum of the digits: 8+6+6 = 20Divisible by 2: YesDivisible by 3: NoDivisible by 6: No

Number: 32,458Sum of the digits: 3+2+4+5+8 = 22Divisible by 2: YesDivisible by 3: NoDivisible by 6: No

Number: 925Sum of the digits: 9+2+5 = 16Divisible by 2: NoDivisible by 3: NoDivisible by 6:No

Number: 7,254Sum of the digits: 7+2+5+4 = 18Divisible by 2: YesDivisible by 3: YesDivisible by 6: Yes

Number: 81,212Sum of the digits: 8+1+2+1+2 = 14Divisible by 2: YesDivisible by 3: NoDivisible by 6: No

Number: 77,770Sum of the digits: 7+7+7+7+0 = 28Divisible by 2: YesDivisible by 3: NoDivisible by 6: No

Testing each number for divisibility rule

A number is divided by 2 if it is an even numberEven numbers are 2, 4, 6, 8, 10....A number is divided by 3 if the sum of its digits can be divided by 3

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What are the zeros of the polynomial y = 3x(x - 2) (2x + 7)?

Answers

Answer:

the second answer option

Step-by-step explanation:

come on, that is really easy, now that the polynomial is already written that way.

when is the product of several factors 0 ?

when at least one of the factors is 0.

so let's go through, when are the factors 0 :

3 : can never be 0. 3 is 3.

x : yes, when x = 0.

(x - 2) : yes, when x = 2

(2x + 7) : ok, that requires a little bit of thinking

2x + 7 = 0

2x = -7

x = -7/2

and that's it.

at, the correct answer is

0, 2, -7/2

PLS HELP ME 50 POINTS!!!!! I NEED AN ANSWER ASAP!!!!!!

A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.

Use the provided horizontal number line to help you answer the following questions.



If you start at Parking B and take the elevator to the fourteenth floor, how many levels have you gone up? [Type your answer as a number.]

Answers

Answer:

They went up 16 levels.

Step-by-step explanation:

You can find that by finding the distance from -2 to 14.
To find the distance from two numbers, [tex]a[/tex] and [tex]b[/tex], we can substitute both in the formula [tex]d = |b - a|[/tex], where d is the distance between them.

[tex]d = |14 - (-2)| \to |14 + 2|\to|16|\to16[/tex]

Answer:

16 levels

Step-by-step explanation:

since there is 24 levels

and parking b is the lowest of the twenty-four

2(underground levels) + 14 ( floors)

= 16 levels

Evaluate Cross multiply :)

Answers

The answer is six.

5x = 30
5x/5 = 30/5
x=6

Simplify to a single power of 3:

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{3^8}{3^3}=3^{8-3}=3^{\boxed{5}}[/tex]

Create a polynomial that has 4 terms, a degree of 6, a leading coefficie
and a constant term of -5.5.

Answers

-6 is the product of this equation,

therefore there are no constant term or leading coefficient.

enter image source here

The degree of a polynomial is the highest degree of its terms

The leading coefficient of a polynomial is the coefficient of the leading term

Any term that doesn't have a variable in it is called a "constant" term

types of polynomials depends on the degree of the polynomial

x5 =        ax2+bx2+c =0

x4 = quadratic

x3 = cubic

x2 = quadratic

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division

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W X and ←→ Y Z intersect at point V. If m ∠ W V Y = ( 4 a + 58 ) ° and m ∠ X V Y = ( 2 b − 18 ) ° , find the values of a and b such that ←−→ W X is perpendicular to ←→ Y Z

Answers

The values of a and b are 8 and 54 respectively.

As WX and YZ are perpendicular to each other and they intersect at point V, so both ∠WVY and ∠XVY are 90°.

Given that,

∠WVY = (4a + 58)°

∠XVY = (2b - 18)°

Which means:

4a + 58 = 90

4a = 90-58

4a = 32

a = 32/4

a = 8

and 2b - 18 = 90

2b = 90+18

2b = 108

b = 108/2

b = 54°

hence we get the values of a and b as 8° and 54°

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Find the distance between each pair of points. The points are (3,-5) and (-2,0)

Answers

Answer:

5√2

Step-by-step explanation:

The distance formula is the the square root of the difference of the x (delta x) squared plus the difference of the y (delta y) squared. So, you would do

0 - (-5) = 5 & -2 - (3) = -5

Then

5² + (-5)² = 25 + 25 = 50

Square root 50

5√2

Hope this helps! :)

Equations and Fun
Guided Practice
What is the domain of the set of ordered pairs {(-4, 0), (-2, 2), (0, 1), (2, 3), (3, 4)}?
A. {-4,-2,0, 2, 4}
B. (-4,-2, 0, 1, 2}
C. {0, 1, 2, 3, 4)
D.
(-4,-2,0, 2, 3}

Answers

Answer:

D

Step-by-step explanation:

Remember that domain is the set of all x-values. Therefore, looking at ONLY the first number for each of the listed ordered pairs, your answer D would be the only answer to include all the correct x-values.

ASAP Please!
Beth purchased a $50,000 nonparticipating whole life insurance policy. The annual premium was $1,608. The cash value of the policy after 10 years will be $13,740. Assuming 5% interest rates. What is the traditional net cost of this policy, per thousand per year, over the first 10 years the policy is in force? (Round your answer to 2 decimal places)

Answers

Based on the annual premium, the cash value of the policy, and the number of years, the traditional net cost of this policy over the first 10 years is 5.76.

What is traditional net cost?

First, find the net cost over 10 years:

= Total premium over 10 years - cash value

= (1,608 x 10) - 13,740

= $2,340

The net cost per year is:
= 2,340 / 10

= $234

The traditional net cost of this policy, per thousand per year for the first 10 years is:

= 234 / 50,000 x 1,000

= 4.68

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What is the result when the number 25 is increased by 20%?​

Answers

30. 20% of 25 = 5, 25+5=30

answer quickly but only if you are sure

or else you are getting reported :D

Answers

Answer:

0.0092

Step-by-step explanation:

Rewrite the denominator out of its scientific notation. The numerator will always be 1 when you are working with whole numbers turning into fractions.

[tex]=9.2\cdot \frac{1}{10^3}\\=\frac{1\cdot \:9.2}{10^3}\\=\frac{9.2}{10^3}\\=\frac{9.2}{1000}\\=0.0092[/tex]

Which figure is 34 ft

Answers

We need answer choices?

Answer:

Yup, u need answer choices

please help me in my maths question
Mike have Two pairs of shoes he is wearing red shirt his height is 6ft calculate his hair..​

Answers

Answer:

It is a buzz cut.

Step-by-step explanation:

It is well-known that football players are around that height and own at least two pairs of shoes. Considering his shirt color, I would say he is a Cardinal player. Considering how terrible they did last time they played (I don't watch football), I'd say he would want to cut his hair in shame.

!WILL GIVE BRAINLIEST! The temperature of a city changed by a total of -20 over a 4 week time span.​

Answers

The average rate of change in temperature per week will be -5°C.

How to calculate the average temperature

It should be noted that from the information, the temperature of a city changed by a total of -20 over a 4 week time span.

Therefore, let the average rate of change per week be illustrated as x

Therefore, the average rate of change in temperature per week will be:

= Total change in temperature / Number of weeks

= -20 / 4.

= -5

Therefore, the average rate of change in temperature per week will be -5°C.

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25 students in class A did a science exam. 30 students in class B did the same science exam.

The mean mark for the 25 students in class A is 67.8 The mean mark for all the 55 students is 72.0

Work out the mean mark for the students in class B.

Answers

Answer: The mean mark for class b is 4.2

Step-by-step explanation: All you have to do is 72.0 - 67.8

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Solve each equation. Check your answers. log x+4=8 Write an equation that equals 2,456 10. Begin a sentence with an anecdote. Charles de gaulle, partly because of strained relations with the british, moved the headquarters of his free french forces from london to what city in 1943?. 4(x3)1=47(x5) solve for x Look at the graph. As thepressure (P) increases, whathappens to the volume (V) ofthe sample? a model sphere of diameter d is to be immersed in a water tunnel running at a speed of v in order to obtain data that can be used to predict the drag force on a weather balloon that is traveling in air at 1.5 m/s. for a model diameter of 50 mm, the measurement of the drag force on the small sphere yields 3.78 n. 2x + 3y = 76x +9y=6 Find the product of 5 and the difference between 15 and 7. who is most to blame for the events that occurred during the Salem Witch Trials? PLEASE SOLVE IT STEP BY STEP A boat is carrying containers that weigh 4000 pounds each.Use this information to fill in the table. Then plot the ordered pairs given by the table. Which expression represents 606060 divided by the product of 444 and 333?Choose 1 answer:Choose 1 answer:(Choice A)A60(43)60(43)60, divided by, left parenthesis, 4, times, 3, right parenthesis(Choice B)B(43)60(43)60left parenthesis, 4, times, 3, right parenthesis, divided by, 60(Choice C)C(604)3(604)3left parenthesis, 60, divided by, 4, right parenthesis, times, 3thanks you a worker receives an annual wage of $\$20{,}000$, which he always deposits into a savings account at the end of the year. by the end of the third year (when he makes the third deposit), he wants to have $\$66,200$ in the account to finance the purchase of a house. what is the compound interest rate that the savings account should provide? express your answer as a percentage, but do not include the percent sign. The rhythmic contractions that propel food through the intestinal tract are called:__________ Which detail from the american crisis develops the key idea that the failure to face challenges as they arise places the success of future generations at risk? In normal tissue, theA rate of mitosis is equal to the rate of apoptosisB rate of mitosis is much greater than the rate of apoptosisC rate of mitosis is less than the rate of apoptosisD rate of mitosis and apoptosis will be zero Please i need answr rn from Robinson Crusoeby Daniel Defoe Nothing can describe the confusion of thought which I felt when I sank into the water. Though I swam very well, I could not deliver myself from the waves so as to draw breath, till that wave having driven me, or rather carried me, a vast way on towards the shore, and having spent itself, went back, and left me upon the land almost dry, but half dead with the water I took in. I had so much presence of mind, as well as breath left, that seeing myself nearer the mainland than I expected, I got upon my feet, and endeavored to make on towards the land as fast as I could before another wave should return and take me up again. However, I soon found it was impossible to avoid it; for I saw the sea come after me as high as a great hill, and as furious as an enemy, which I had no means or strength to contend with: my business was to hold my breath, and raise myself upon the water if I could. By swimming, I could preserve my breathing, and pilot myself towards the shore, if possible. My greatest concern now being that the sea, as it would carry me a great way towards the shore when it came on, might not carry me back again with it when it gave back towards the sea. The wave that came upon me again buried me at once twenty or thirty feet deep in its own body. I could feel myself carried with a mighty force and swiftness towards the shore a very great way, but I held my breath, and assisted myself to swim still forward with all my might. I was ready to burst with holding my breath, when, as I felt myself rising up, so, to my immediate relief, I found my head and hands shoot out above the surface of the water. Though it was not two seconds of time that I could keep myself so, yet it relieved me greatly, gave me breath, and new courage. I was covered again with water a good while, but not so long but I held it out; and finding the water had spent itself, and began to return, I struck forward against the return of the waves, and felt ground again with my feet. I stood still a few moments to recover breath, and till the waters went from me, and then took to my heels and ran with what strength I had further towards the shore. But neither would this deliver me from the fury of the sea, which came pouring in after me again; and twice more I was lifted up by the waves and carried forward as before, the shore being very flat. The last time of these two had well-nigh been fatal to me, for the sea having hurried me along as before, landed me, or rather dashed me, against a piece of rock, and that with such force, that it left me senseless, and indeed helpless, as to my own deliverance. The blow taking my side and breast, beat the breath as it were quite out of my body; and had it returned again immediately, I must have been strangled in the water; but I recovered a little before the return of the waves. Seeing I should be covered again with the water, I resolved to hold fast by a piece of the rock, and so to hold my breath, if possible, till the wave went back. 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