Madison enjoys the game of golf. He knows that he will one-putt a green 15% of the time, two-putt 20% of the time, three-putt 35% of the time, and four-putt 30% of the time. Find the expected value for the number of putts Madison will need on any given green. Make sure to write down the entire equation that you used to solve this problem.

Answers

Answer 1

Answer:

2.8 putts in average on any given green

Step-by-step explanation:

To calculate how many putts Madison will need on any given green, we need to calculate the weighted average of his putts.

We use a global sample of 100 puts and factor in the fact he had a one-putt performance 15% of the time, two-putts 20% of the time and so on.

So, the calculation goes like this:

[tex]\frac{1 * 15 + 2 * 20 + 3 * 35 + 4 * 30}{100}  = \frac{280}{100}  = 2.8[/tex]

So, he'll need an average of 2.8 putts in average on any given green.

Which makes sense since 65% of the time, he needs 3 putts or more on the green.

Answer 2
Final answer:

The expected number of putts Madison will need for any given green is 2.85. This is calculated by multiplying each possible outcome by its probability and then summing these values.

Explanation:

The subject of this question is the calculation of an expected value in the context of a game of golf. The expected value is a weighted average, taking into account the probability of each event. Expected value calculations are common in probability and statistics.

In Madison's case, the expected number of putts can be calculated with the following formula:

E(X) = Σ [x * P(X = x)], where x is the outcome (number of putts) and P(X = x) is the probability of that outcome.

Applying the probabilities and outcomes given: E(X) = 1(0.15) + 2(0.20) + 3(0.35) + 4(0.30) = 2.85

So, the expected value of the number of putts Madison will need for any given green is 2.85.

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Related Questions

The perimeter of a triangle is given by the formula P = a + b + c. Solved for b, this formula becomes b =

Answers

Answer: B) P-a-c.

Step-by-step explanation:

The value of b is P - a - c.

Given,

The perimeter of a triangle is given by the formula P = a + b + c.

We need to solve for b.

What is the perimeter of a triangle?

The total length of all three sides of a triangle is called the perimeter of the triangle.

It is given by:

P = a + b + c

Where a,b, and c are the sides of the triangle.

We have,

P = a + b + c

Subtracting a on both sides

P - a = a + b + c - a

P - a = b + c

Subtracting c on both sides

P - a - c = b + c - c

P - a - c = b

We get,

b = P  - a - c

Thus the value of b is P - a - c.

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if you borrow $308 for one year at an interest rate of 6% compounded annually, how much interest will you pay?

Answers

Answer: $18.48

Step-by-step explanation: The formula for interest is I = PRT, where I equals interests, P equals the principle, R equals the rate and T is Time.

I = 308 x .06 x 1

I = $18.48

You will pay $18.48 interest for one year.

Bryson makes an annual salary of $42,000 a year. Apply the rule of housing to determine his monthly housing budget.
A. $420
B. $600
C. $875
D. $1,025

Answers

Answer:

C. $875

Step-by-step explanation:

The rule of housing is the rule of thumb of not using more than 25% of your gross income. This means that the households supposed limited expenses on housing would be a maximum of 25% only.

So to find the monthly housing budget of Bryson, we simply take his annual salary and multiply it by 25% or 0.25 and then divide the product by 12.

Monthly Housing Budget = ($42,000 * 0.25)/12

Monthly Housing Budget = 10500/12

Monthly Housing Budget = $875

Answer: C. $875

Step-by-step explanation:

CUZ IT IS.... hope all of you guys become successful.

Which explains, on a given day, which island is more likely to have a wind speed close to its median?

Answers

Answer:

Country B because the median is closer to the center of the box in the box plot.

Step-by-step explanation:

In the figure attached the box plots show the average wind speeds, in miles per hour, for two different islands (Country A on the top, Country B on the bottom).

The median of Country A is 4 and the center of the box is 5

The median of Country B is 6 and the center of the box is 6.5

Answer:

B

Step-by-step explanation:

Did it on edg

What is the distance between (6, 2) and (6, -5)? A.-7 units B.3 units C.7 units D.11 units

Answers

Hey there! The correct option is A. -7 units (see photo for more info)

You can see in the photo I provided that there are 7 spaces in between (6, 2) & (6, -5) & since -5 is negative, the number of units in be will be negative.

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

The distance is 11 units

Angela is buying a dress that is on sale for 20% off. If the original price of the dress is $60.00, how much money is Angela saving on the dress?

Answers

Answer:

$48

Step-by-step explanation:

1. multiply the original price (60) by the percent off (20% or 0.20)

    60 * .20 = 12 (the discount)

2. subtract the discount (12) from the origianl price (60)

    60-12 = 48

Answer:

12

Step-by-step explanation:

bc i got it right on study island lol

Use the graph of the function f to determine f(x)

Answers

Answer: option a.

Step-by-step explanation:

The [tex]\lim_{x \to a} f(x)[/tex] give us information about the behavior of the function when the variable x gets closer to the value a. In other words, it tells us to what value y gets closer when x gets closer to the value a.

In this case we are evaluating the limits when:

[tex]{x \to -3}[/tex]

[tex]{x \to 0}[/tex]

[tex]{x \to 2}[/tex]

of the function shown in the graph.

As you can observe in the graph, when:

[tex]{x \to -3}[/tex] , [tex]y=3[/tex]

[tex]{x \to 0}[/tex] , [tex]y=0[/tex]

[tex]{x \to 2}[/tex] , [tex]y=-2[/tex]

PLZ ANSWER RIGHT, POINTS 99!!
Select the correct answer from each drop-down menu.

Consider the following equation.

[tex]0 = x^{2} - 10x - 27[/tex]

Complete each statement about the solutions to the equation.

The negative solution is between (Q1)__ and (Q2)__.

Q1.) A. -13

B. -3

C. -2

D. -12


Q2) A. -1

B. -11

C. -12

D. -2

________________________________________________

The positive solution is between (Q3)__ and (Q4)__.

Q3.) A. 11

B. 1

C. 2

D. 12


Q4.) A. 13

B. 3

C. 12

D. 2

Answers

Using the quadratic formula -b +/-√b^2-4(ac) / 2a solve for x:

10 +/-√(-10)^2 -4(1*27) / 2*1

x = 5 +/-2√13

x = -2.21

or x = 12.21

The negative solution is between -2 and -3.

The positive solution is between 12 and 13.

The tangent and secant functions are undefined for the same values true or false

Answers

Answer:

TRUE

Step-by-step explanation:

tanθ = 1/cotθ

cotθ = 0 when θ = ±(1/2)π, ±(3/2)π, … ±[(2n+1)/2]π.

∴ tanθ is undefined when θ = ±[(2n+1)/2]π.

secθ = 1/cosθ

cosθ = 0 when θ = ±(1/2)π, ±(3/2)π, , …, ±[(2n+1)/2]π.

∴ secθ is undefined when θ = ±[(2n+1)/2]π.

The tangent and secant functions are undefined for the same values of θ.

Answer:

True

Step-by-step explanation:

The tangent and secant functions are undefined for the same values.

Secant and tangent are trigonometry function. Each function has fix value for fix angle.

For angle 90° degree or [tex]\dfrac{\pi}{2}[/tex]

As we know,

[tex]\tan90^\circ=\infty[/tex]

[tex]\tan\dfrac{\pi}{2}=\infty[/tex]

[tex]\sec90^\circ=\infty[/tex]

[tex]\sec\dfrac{\pi}{2}=\infty[/tex]

True

∞ is undefined.

Hence, Both tangent and secant are undefined at 90°

What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?



A. 15 cm2
B. 12 feet
C. 4 m3
D. 16 inches

Answers

Answer:

15cm2

Step-by-step explanation:

Area of a triangle is b*h/2

B is 5

H is 6

5 * 6 = 30

30/2 = 15

Answer:

A

Step-by-step explanation:

The area of a triangle is base * height, divided by 2

bh/2 (same thing as multiplying by .5 or 1/2)

given:

base: 5 cm

height: 6 cm

(5 * 6)/2 = 15 cm^2

therefore the answer is A

math 23 points help please asap

Answers

The answer is A because the rest of them for any given x you get 2 or more values of y

Which equation is represented by the intersection of the graph below?

Answers

Answer:

tan(x) = 1

Step-by-step explanation:

The red curve(s) are y=tan(x). The horizontal line is y=1, so the point(s) of intersection are where tan(x) = 1.

_____

Sine and cosine do not have infinite range.

The range of secant excludes (-1, 1), so the only remaining possibility for the red curve is tan(x).

A factory can produce 100 bracelets every 15 minutes. How many bracelets can the factory produce in three and a half hours?

Answers

Answer:

1,400 bracelets in 3 and a half hours

Step-by-step explanation:

First you have to find how many minutes are in 3 and a half hours. 1 hour is 60 minutes, so 60 + 60 + 60 is 3 hours or 180 minutes and 30 minutes is a half an hour. Therefore 3 and a half hours equals 210 minutes. Set up an equal proportion: 100 bracelets / 15 min = x bracelets / 210 min. Use algebra to solve: 100 * 210 = 15x → 21000 = 15x → 1400 = x.

1400 bracelets can the factory produce in three and a half hours.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A factory can produce 100 bracelets every 15 minutes.

So, In one minutes the factory produced

= 100 /15

= 20/3

Now, In three and a half hours ( 210 minutes) the factory can make

= 20/3 x 210

= 20 x 70

= 1400

Hence, In three and a half hours 1400 bracelets can be made.

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Edwina measured the length of this swimming pool by drawing similar triangles as shown. What is the best estimate of p, the length of the swimming pool?

Answers

Answer:

Option C. [tex]p=33\ ft[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

Using proportion

[tex]\frac{p}{12}=\frac{22}{8}\\ \\p=12*22/8\\ \\p=33\ ft[/tex]

Answer:

c

Step-by-step explanation:

bc i took quiz

Charlotte has a 222 page book. She has read 1/2 of of it. How many pages does she have left to read?

Answers

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                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ She has 111 pages left.

222/2 = 111

222 - 111 = 111

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

222/2=111 111x2=222

It’s right angle trig

WILL MARK BRAINLIEST!!!

Answers

c = 17.78

b = 12.12

............

Answer:

b = 12.1

c = 17.8

Step-by-step explanation:

First, we can solve for c by using sine: sin(47) = 13/c -> c = 13/sin(47) = 17.8 rounded to the nearest 10th.

Then, we can solve for b by using tangent: tan(47) = 13/b -> b = 13/tan(47) = 12.1 rounded to the nearest 10th.

I hope this helped you.

NEED HELP ASAP BRAINLIEST ANSWER
Four sizes of scaled text are shown

What is the unknown scale size?

Enter your answer as a decimal in the box. Round only your final answer to the nearest thousandth

Answers

Answer:

1.172

Step-by-step explanation:

1.954

-1.563

=0.391

So you must minus 0.391 from 1.563

1.563-0.391= 1.172

Answer:

Unknown scale is 1.25

Step-by-step explanation:

Here size of fonts have been enlarged with a scale factor. Scale factor means a common factor by which a sequence is formed.

The given sequence will be a geometric sequence.

So common ratio between 3rd and 4th fonts = [tex]\frac{1.954}{1.563}=1.25[/tex]

This ratio will be same in 1st and second fonts = [tex]\frac{1.25}{1}=1.25[/tex]

So unknown scale size is 1.25

Matt measures 3 peices of string. The first peice is 544 cm , the second peice is 144 cm,and the third peice is 112 cm. How many meters of string does he have altogether

Answers

Answer:

[tex]8\ m[/tex]

Step-by-step explanation:

we know that

[tex]1\ m=100\ cm[/tex]

step 1

Sum the 3 pieces of string

[tex]544+144+112=800\ cm[/tex]

step 2

Convert centimeters to meters

[tex]800\ cm=800/100=8\ m[/tex]

Karleigh walks 5/8 mile to school every day . How far does she walk to school in 5 days

Answers

Hello, thanks for using Brainly!

First, our equation is: [tex]5/8[/tex] x [tex]5 = 25/8.[/tex]

Our first step is to simplify.

When you simplify you get 3 1/8.

This is another way you can get it: (Multiply across. )

[tex]Number[/tex] [tex]of[/tex] [tex]the[/tex] [tex]miles = \frac{5}{8}[/tex] [tex]5 = \frac{25}{8} = 3\frac{1}{8}[/tex]

Enjoy your day.

Alecia walked 3/10 of a mile from school,stopped at the grocery store on the way, then walked another 4/10 of a mile home.Georgia walked 67/100 of a mile from school to her home.Which of the girls live farther from school? Explain.

Answers

Answer:

Alecia lives farther from school

Step-by-step explanation:

Georgia

we know that

The distance from the school to her home is 67/100 of a mile

[tex]\frac{67}{100}=0.67\ miles[/tex]

Alecia

we know that

The distance from the school to her home is

3/10 of a mile plus 4/10 of a mile

so

[tex]\frac{3}{10}+\frac{4}{10}=\frac{7}{10}=0.7\ miles[/tex]

Compare the distances

[tex]0.7\ miles>0.67\ miles[/tex]

therefore

Alecia lives farther from school

Final answer:

The answer explains that Georgia lives farther from school than Alecia based on the distances they walked.

Explanation:

Alecia: Walked 3/10 mile from school + 4/10 mile back home = 7/10 mile total distance.

Georgia: Walked 67/100 mile total distance.

Alecia vs. Georgia: Alecia walked 0.7 mile, Georgia walked 0.67 mile. Georgia lives farther from the school as 0.7 > 0.67 mile.

The perimeter of a triangle is 76 cm. Side a of the triangle is twice as long as side b. Side c is 1 cm longer than side a. Find the length of each side.

Answers

Let side B = X

Then side A = 2x

Side C = 2x +1

Mow you have x + 2x + 2x+1 = 76

Simplify:

5x +1 = 76

Subtract 1 from both sides:

5x = 75

divide both sides by 5:

x = 75 /5

x = 15

Side A = 2x = 2*15 = 30 cm

Side B = x = 15 cm

Side C = 2x +1 = 2*15 +1 = 30+1 = 31 cm

When are the x-intercept and the y-intercept of a graph identical?

Answers

at the origin

they are same

Answer:

The only time that both intercepts are identical is when they form the line of [tex]x = y[/tex], which is the origin, and MUST be a POSITIVE RATE OF CHANGE [SLOPE].

I am joyous to assist you anytime.

The function y = x 2 – 4x + 8 approximates the height, y, of a bird, and its horizontal distance, x, as it flies from one fence post to another. All distances are in feet. Complete the square to find and interpret the extreme value (vertex). Select two answers: one extreme value and one interpretation

Answers

Answer:

Exterme Value: [tex](2,4)[/tex].

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Step-by-step explanation:

The given function is [tex]y=x^2-4x+8[/tex].

We add and subtract the square of half the coefficient of x.

[tex]y=x^2-4x+(-2)^2-(-2)^2+8[/tex].

The first three terms form a perfect quadratic trinomial.

[tex]y=(x-2)^2+4[/tex].

This function is now written in the form [tex]y=a(x-h)^2+k[/tex], where (h,k) is the extreme value(vertex).

The extreme value or the vertex is [tex](2,4)[/tex].

Interpretation:

The bird reaches its minimum height which is 4ft affter covering a horizontal distance of 2 ft.

Answer: minimum at( 2,4)

Step-by-step explanation:

A p e x

Describe the pattern below. Write another pattern that has the same fourth value. Describe your pattern 0.41,0.82,1.64,3.28

Answers

Answer:

times 2

Step-by-step explanation:

0.41*2=0.82

0.82*2=1.64

divide by 2...pattern is 3.28,1.64,0.82,0.41

Another pattern with the same fourth term is one where to get the next term in the sequence we multiply the previous one by -2, and the first term is -0.41,

Analyzing the given pattern.

We have the pattern:

0.41, 0.82, 1.64, 3.28

Is ratter easy to see that it is a geometric sequence, such that each term is twice the previous term:

0.82 = 2*0.411.64 = 2*0.813.28 = 2*1.64

Now we just want to make another pattern that has the same fourth term, so we can play with the given pattern.

Suppose we start with -0.41, and instead of by 2, we multiply each time by -2, then we get:

a₁ = -0.41a₂ = (-2)*(-0.41) =0.82a₃ = (-2)*(0.82) = -1.64a₄ = (-2)*(-1.64) = 3.28

And so on, so we just found another pattern that has the same fourth term, but behaves differently.

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Identify the graph of 4x^2+5y^2=20 for T(5,-6) and write an equation of the translated or rotated graph in general form. (picture provided)

Answers

Answer:

b. ellipse; [tex]4x^2+5y^2-40x+60y+260=0[/tex]

Step-by-step explanation:

The graph of [tex]4x^2+5y^2=20[/tex] an ellipse because the coefficients of the quadratic terms are not the same.

This ellipse is centered at the origin. If this ellipse is translated  so that its center is now at [tex](5,-6)[/tex].

Then the translated ellipse will now have equation.

[tex]4(x-5)^2+5(y+6)^2=20[/tex]

We expand to get;

[tex]4(x^2-10x+25)+5(y^2+12y+36)=20[/tex]

[tex]4x^2-40x+100+5y^2+60y+180=20[/tex]

[tex]4x^2+5y^2-40x+60y+100+180-20=0[/tex]

[tex]4x^2+5y^2-40x+60y+260=0[/tex]

Answer:

B

Step-by-step explanation:

just took it on edge and it was right :)

i went to sleep randomly on my bed and i woke up with ducks quacking around me. how do i call the bug exterminator? how many steps do i take toward the phone and the distance?

Answers

You don't it's not a bug

Answer:Since You slept randomly, there can’t be a duck in your bedroom, no further explanations is needed.

Step-by-step explanation:

Six times a number is greater than 20 more than that number. What are the possible outcomes of that number ?

Answers

X>5 would definitely work

A computer rounded the number 129.257 to the nearest hundredth what is this number rounded to the nearest hundredth

Answers

Answer:

it is 129.3 you just round

The gravitational force on the earth is six times greater than on the moon. This means objects weigh six times as much on earth as they do on the moon. Write an algebraic expression for the weight of an object on earth if its weight on the moon is m.

Answers

Answer:

y=6x

Step-by-step explanation:

let y be the weight of an object on the earth

let x be the weight of the same object on the moon

Since the weight of an object on earth is 6 times greater than the same thing on the moon, You must multiply the weight of something on the moon by six.

Hope this helped!

Final answer:

The algebraic expression for the weight of an object on Earth given its weight on the Moon, denoted as 'm', is 'W = 6m', where 'W' represents its weight on Earth.

Explanation:

The question is asking us to find an algebraic expression for the weight of an object on Earth given its weight on the Moon.

We know that the gravitational force on Earth is six times greater than on the Moon, which means objects weigh six times more on Earth than on the Moon.

If the weight of an object on the Moon is given as m, then the weight of the same object on Earth, W, would be W = 6m.

Jacob's daily tips this work week were $99, $78, $58, $91, $90, and $68. Is Jacob correct in thinking that the median best represents how much money he makes in daily tips?

Answers

Answer:

no

Step-by-step explanation:

median only shows the amount in the very middle. to represent how much money he makes in daily tips, he needs to find the mean (the average).

Answer:

Little close

Step-by-step explanation:

In statistics, when we have a list of entries to be analyzed we have few figures for observation. These are

Mean , median and mode.

Mean gives the average of all the entries. By average means.

Median gives you the middle most entry.

And mode gives the entry repeated the most.

As by definition we see that , median will give us approximation regarding daily data, hence jacob must consider the median to best represent the money he makes on daily basis.

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