A professional golfer gets a hole-in-one 0.003% of the time they try on a hole. If the golfer plays 32,000 holes over the course of their professional career, about how many hole-in-ones should they expect over their career?

Answers

Answer 1
It is 96 holes because.003 * 32000 is the number of holes that can be expected by the player.
Answer 2

96 holes I think is the correct answer


Related Questions

Out of the total respondents, the percentage of respondents from the 46–55 age group who rated the film excellent is
%. Write your answer up to two decimal places.
NextReset

Answers

The percentage of respondents from the 46-55 age group who rated the film excellent is 20 %.

To determine the percentage of respondents from the 46-55 age group who rated the film excellent, you need two pieces of information: the number of respondents in that age group who rated the film excellent and the total number of respondents in that age group. The formula for calculating the percentage is:

[tex]\[ \text{Percentage} = \left( \frac{\text{Number of respondents who rated excellent}}{\text{Total number of respondents in the age group}} \right) \times 100 \][/tex]

Assuming you have these numbers, let's denote the number of respondents who rated the film excellent in the 46-55 age group as X and the total number of respondents in that age group as Y. The formula becomes:

[tex]\[ \text{Percentage} = \left( \frac{X}{Y} \right) \times 100 \][/tex]

For example, if 20 respondents in the 46-55 age group rated the film excellent out of a total of 100 respondents in that age group, the calculation would be:

[tex]\[ \text{Percentage} = \left( \frac{20}{100} \right) \times 100 = 20\% \][/tex]

Therefore, replace X and Y with the actual numbers from your data to find the specific percentage.

If matrix A is a 6 × 5 matrix, which order of matrix can be multiplied by matrix A?

Answers

It would be a 5 x 6 matrix 

Answer:

5 x n, where n is any natural number.

Step-by-step explanation:

If A is a 6 x 5 matrix, it means that A has 6 rows and 5 columns, this means that if a matrix B can be multiplied by A, then each one of its columns must have 5 entries. Therefore, B has to be a matrix with 5 rows and it might have any arbitrary number of columns, in other words B is a 5 x n matrix, where n must be a natural number bigger than 1.

A sound wave travels through iron at a rate of 5120 m/s. At what rate do the sound waves travel at km/h

Answers

km/h = 18,432 is the answer to your question.

Answer:

Sound waves travel through iron at 11,427,840 km/h.

Step-by-step explanation:

A kilometer is equal to 0.62 miles. An hour is equal to 3600 seconds. Therefore, if a sound wave travels through iron at a rate of 5120 m/s, it would be equal to (5120 x 0.62) km/s. This is equal to 3174.4 km/s which, multiplied by 3600 (the number of seconds that make an hour), would determine the speed in which a sound wave travels through iron. So, as 3174.4 x 3600 is 11,427,840, so sound waves travel at 11,427,840 km/h.

The sum of two numbers is 25, and the difference of their squares is 75. what are the two numbers?

Answers

x+y=25
14*14=196
11*11=121

196-121=75
the answer is x=14 and y=11

If nine people are in a room and every person shakes hands exactly once with each of the other people, how many handshakes will occur

Answers

The total number of handshakes =  8 + 7 + 6 + 5  + 4 + 3 + 2 + 1  = 36


Answer: 36 handshakes

find the point slope equation for (-2,-20) and (9,79)

Answers

Start by identifying your x1, x2, y1, and y2 values
x1: -2
x2: 9
y1: -20
y2: 79

The general form for writing a point slope equation is y-y1 = m(x-x1)
M is your slope.
To find the slope, plug the values you just identified into the equation y2-y1/x2-x1
This leaves you with 79+20/9+2
Which equals 9, so your slope (m) equals nine.
you can now plug everything into the general form which gives you:
y+20 = 9(x+2)
Final answer:

The point-slope equation for the points (-2,-20) and (9,79) is y + 20 = 9(x + 2).

Explanation:

To find the point-slope equation, we can use the formula: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Firstly, we calculate the slope using the formula: m = (y2 - y1)/(x2 - x1). Given the points (-2, -20) and (9, 79), the slope is (79 - (-20))/(9 - (-2)). Simplifying the expression, we get m = 99/11 = 9.

Next, we substitute one of the points and the calculated slope into the point-slope formula. Let's choose (-2, -20). So the equation becomes: y - (-20) = 9(x - (-2)). Simplifying further, we have: y + 20 = 9(x + 2).

This is the point-slope equation for the given points: y + 20 = 9(x + 2).

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Let v1 = (-6,4) and v^2 = (-3,6). Compute the following
V^1 * V^2

Answers

It is just the multiplication of vectors. We'll multiply corresponding pairs together. The general formula for the pairs of ([tex] x_{1} [/tex]; [tex] y_{1} [/tex]) and ([tex] x_{2} [/tex]; [tex] y_{2} [/tex]) is [tex] x_{1} [/tex] * [tex] x_{2} [/tex] + [tex] y_{1} [/tex] *  [tex] y_{2} [/tex] = (-6)*(-3)+4*6=18+24=42

Using sin^2x+ cos^2 x=1 and other trig properties, simplify the following: (cos^2Ø*tan^2Ø)/(1-cos^2 Ø.

Answers

[tex]\dfrac{\cos^2\O\cdot\tan^2\O}{1-\cos^2\O}=\dfrac{\cos^2\O\cdot\tan^2\O}{\sin^2\O}=\dfrac{\cos^2\O}{\sin^2\O}\cdot\tan^2\O\\\\=\dfrac{1}{\dfrac{\sin^2\O}{\cos^2\O}}\cdot\tan^2\O=\dfrac{1}{\left(\dfrac{\sin\O}{\cos\O}\right)^2}\cdot\tan^2\O=\dfrac{1}{\tan^2\O}\cdot\tan^2\O\\\\=\dfrac{\tan^2\O}{\tan^2\O}=1[/tex]

[tex]Used:\\\\\sin^2\O+\cos^2\O=1\to1-\cos^2\O=\sin^2\O\\\\\tan\O=\dfrac{\sin\O}{\cos\O}[/tex]

cos^2 x is the right answer.

A student ate 3/20 of all candies and another 1.2 lb. Another student ate 3/5 of the candies and the remaining 0.3 lb. Altogether, what weight of candies did they eat?

Answers

let
x-------> total weight of candies
we know that

x=(3/20)*x+1.2+(3/5)*x+0.3
x=(3/20)*x+(3/5)*x+1.5----> multiply by 20----> 20x=3x+12x+30
20x=15x+30
20x-15x=30
5x=30
x=6 lb

the answer is
6 lb

your mom is looking at he amount of sugar in two different drinks the apple juice has 216 grams sugar for every 8 serving the sprite 234 grams of sugar for every 9 serving which drink has more sugar

Answers

The apple juice has 27 grams per serving and the sprite has 26 grams per serving. So the apple juice has more. You just divide the total amount by the number of servings.

Crater Lake Oregon is a roughly circular lake. The lake basin formed about 7000 years ago when the top of a volcano exploded in an immense explosion. Hillman Peak, Garfield Peak, and Cloudcap are three mountain peaks on the rim of the lake. The peaks are located in a coordinate plane at H(-4,1), G(-2,-3), and C(5,-2). Find the coordinates of the center of the lake.

Answers

To solve the problem we must find the equation of the circumference of the form:
 (Xa) ² + (Yb) ² = r²
 They do not give us the center or the radio, but we have 3 points.
 With the points H (-4,1), G (-2, -3) and C (5, -2) we find 3 equations
 1) (-4-a) ² + (1-b) ² = r²
 2) (-2-a) ² + (-3-b) ² = r ²
 3) (5-a) ² + (-2-b) ² = r ²
 Now we have a system of 3 equations with 3 unknowns: r, a, b
 When solving the system we have to:
 r = 5
 a = 1
 b = 1
 Therefore, the center of the circumference of the lake is the point (a, b)
 That is, the point (1,1)

Answer:

The coordinates of the center of the lake are [tex](\frac{-1}{3},\frac{-4}{3})[/tex].

Step-by-step explanation:

It is given that Hillman Peak, Garfield Peak, and Cloudcap are three mountain peaks on the rim of the lake. The peaks are located in a coordinate plane at H(-4,1), G(-2,-3), and C(5,-2).

If we joint these points, then we get a triangle and the center of a triangle is known as centroid.

The formula for centroid of a triangle is

[tex]Centroid=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})[/tex]

The centroid of the triangle H(-4,1), G(-2,-3), and C(5,-2) is

[tex]Centroid=(\frac{-4-2+5}{3},\frac{1-3-2}{3})[/tex]

[tex]Centroid=(\frac{-1}{3},\frac{-4}{3})[/tex]

Therefore the coordinates of the center of the lake are [tex](\frac{-1}{3},\frac{-4}{3})[/tex].

Javier is 175% heavier than his brother . if javier brother weigh 80 pounds how much do javier weigh

Answers

100%  = 80 pounds

1% = 80 ÷ 100 = 0.8 pound

175% = 0.8 x 175 = 140 pounds

Answer: Javier weighs 140 pounds.

Which points in the scatter plot are outliers?

Point A

Point F

Point H

Point K

Point M

Answers

Hi there!

If you draw a line of best fit, you'll see that only two points lie way outside the line. These points are points K and F.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Answer:

the points are k and f

Step-by-step explanation:

Summer spent $55.60 on clothes before sales tax. If sales tax is 7.5%, what did Summer spend with tax included?  *Add Explanation If U Can*

Answers

$59.77. Turn the percent into a decimal by moving the decimal to the left two places (7.5 to 0.075). Then multiply the new decimal by the cost (55.60×0.075=4.17). 4.17 would be the total sales tax, so then add it to the price (55.77+4.17=59.77). Hope that helped.

Which of the following is equal to 7÷9/5
A: 9×7/5 B: 7×9/5 C: 9×5/7
D: 7×5/9

Answers

Final answer:

To find the value of 7÷9/5, we multiply 7 by the reciprocal of 9/5, which is 5/9, resulting in the expression 7×5/9. The correct answer is D: 7×5/9.

Explanation:

To solve the expression 7÷9/5, we must interpret the division as multiplication by the reciprocal. In other words, dividing by a fraction is the same as multiplying by its reciprocal. Therefore, 7 divided by 9/5 is equal to 7 multiplied by the reciprocal of 9/5, which is 5/9.

So, the calculation will be 7×5/9. Here's the math:

Identify the reciprocal of 9/5, which is 5/9.

Multiply 7 by the reciprocal of 9/5: 7 × 5/9.

Calculate the product: 7 × 5 = 35, and 35 ÷ 9 does not simplify further in this context.

The correct answer from the options provided is D: 7×5/9. The other options, A: 9×7/5, B: 7×9/5, and C: 9×5/7 do not represent the correct transformation from division to multiplication by the reciprocal.

A parabolic archway is 12 meters high at the vertex. at a height of 10 meters, the width of the archway is 8 meters. how wide is the archway at ground level?

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have that the parabola is 12 meters high at the vertex and at a height of 10 meters, the width is 8 meter. 

 2. Therefore, you have:

 x^2=-4a(y^2-k)
 4^2=-4a(10-12)
 16=-40a+48
 16=8a
 a=16/8
 a=2

 y=0
 x^2=-8(0-12)
 x^2=96
 x=√96
 x=9.79x2
 x=19.58

 3. Therefore, as you can see, the answer is: 19.58 meters.
 

We found the width at ground level to be approximately 19.6 meters.

We start by assuming the equation of the parabola to be of the form y = ax² + bx + c.

Since the vertex of the parabolic arch is at (0, 12), we know that c = 12. Next, we use the condition that at y = 10 meters, the width is 8 meters, meaning the points (4, 10) and (-4, 10) lie on the parabola. Plugging these into the equation:

For (4,10): 10 = a(4)² + b(4) + 1210 = 16a + 4b + 1216a + 4b = -2  (1)

Solving for the same with (-4,10) is unnecessary as it results in the same equation. Next, we use the vertex form y = a(x - h)² + k ⇨ y = a(x - 0)² + 12 ⇨ y = ax² + 12.

From equation (1), we have 16a + 4b = -2. Since the vertex form tells us there is no 'b' term in the simplest form, 'b' must be 0. Thus, 16a = -2 ⇨ a = -1/8.

The equation of the parabola is therefore y = -(1/8)x² + 12.

To find the width at ground level (y = 0):

0 = -(1/8)x² + 12(1/8)x² = 12x² = 96 ⇨ x = ±√96 = ±4√6 ≈ ±9.8 meters.

Thus, the total width of the arch at ground level is approximately 2 × 9.8 = 19.6 meters.

The graph shows a probability distribution.

What is P(1.5≤X≤4.5)?



Enter your answer, as a decimal

P(1.5≤X≤4.5) =

Answers

Answer: 0.75

In the picture, the area that colored red is from x=5 till x=1, so the length would be: 5-1= 4 blocks. The height of all the block is the same, which is p=1. The total area of the red block would be: length * height = (5-1) * 1 = 4

The area of P(1.5≤X≤4.5) would be: length * height = (4.5-1.5) * 1= 3
The probability of P(1.5≤X≤4.5) would be: area/ total area= 3/4= 0.75

How do you combine like terms of #-10+7x+24-2x#?

Answers

You should first add -10 and 24. Then you should subtract 7x and 2x. All you have to do is to find the like terms ( 7x and 2x because they both have x’s, and -10 and 24 because they don’t have x’s). So your answer would be 14+5x. If you have any questions please reply.

You bought a guitar 6 years ago for $400. It's value decreases by about 13% per year. Write a formula to show the value of the guitar over those six years and determine its current value

Answers

this would be a depreciation formula
 which is value = Original price x (1-percent change)^time
 using the information from the problem 

Value = 400 x(1-0.13)^6

value = 400 x 0.87^6

value = $173.45

Final answer:

The current value of the guitar after depreciating by 13% per year over 6 years is calculated using the exponential decay formula  [tex]V = P(1 - r)^t[/tex], which gives us an approximate current value of $173.45

Explanation:

The given formula represents depreciation, where the value of an asset decreases over time. Applying this to the provided scenario, with an original price of $400 and a 13% annual depreciation rate, we calculate the value after 6 years. Substituting these values into the formula, we find: Value =  [tex]400 \times (1 - 0.13)^6 = 400 \times 0.87^6 = \$173.45.[/tex]Therefore, after 6 years, the asset's value is approximately $173.45. Depreciation formulas like this one help assess the declining worth of assets over time due to various factors.

The points at which a quadratic equation intersects the x-axis are referred to as

Answers

There is a number of different things these are referred to as. The first of which is the zeroes of the equation. They are called the zeroes of the equation due to the fact that this is where the function (or y-value) is equal to 0.

It can also be referred to as the x-intercepts. This is because it is where the graph intercepts the x-axis.

The points at which a quadratic equation intersects the x-axis are referred to as   x intercepts or zeros or roots of quadratic equation

Given :

The points at which a quadratic equation intersects the x-axis

The points at which the any quadratic equation crosses or touches the x axis are called as x intercepts.

At x intercepts the value of y is 0.

So , the points at which a quadratic equation intersects the x-axis is also called as zeros or roots of the quadratic equation .

The points at which a quadratic equation intersects the x-axis are referred to as   x intercepts or zeros or roots of quadratic equation

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A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 222 inches and a height of 666 inches. It is a challenge to fill the narrow cones with their long fries. They want to use new cones that have the same volume as their existing cones but a larger radius of 444 inches. What will the height of the new cones be?

Answers

Final answer:

To find the height of the new cone with a larger radius that maintains the same volume, we calculate the volume of the original cone and solve for the new height using the cone volume formula.

Explanation:

The student wants to find out the new height of the cone with a larger radius while maintaining the same volume as the original cone. The volume of a cone is given by the formula V = 1/3 πr²h. To find the height of the new cone, we'll use the volume of the original cone as the constant value.

Let's first calculate the volume of the original cone:

V_original = 1/3 π(222²)(666)

Now, let's set up an equation with the new radius to solve for the new height (h_new):

1/3 π(444²)(h_new) = V_originalh_new = (V_original) / (1/3 π(444²))

By substituting the V_original from step 1 into step 3, we can solve for h_new. The result will be the height of the new cone with a radius of 444 inches that has the same volume as the original cone.

Find the probability of drawing a heart or a black card from a standard deck of cards

Answers

75%

Hearts and black cards make up 3 of the 4 suits of cards. You could count the amount of them and then divide by 52 cards, or you can divide 3 by 4 since there are the same amount in every suit. 
Final answer:

The probability of drawing a heart or a black card from a standard deck of cards is 3/4.

Explanation:

In a standard deck of cards, there are 52 cards in total. However, since we are interested in finding the probability of drawing a heart or a black card, we need to determine how many cards satisfy this condition.



There are 13 hearts in a deck, so the probability of drawing a heart is 13/52 or 1/4. Additionally, there are 26 black cards (13 spades and 13 clubs) in a deck, so the probability of drawing a black card is 26/52 or 1/2.



To find the probability of drawing a heart or a black card, we can add the probabilities together: 1/4 + 1/2 = 3/4.

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The longer leg of a right triangle is 4 more than twice the shorter leg. The hypotenuse is 4 less than three times the short leg. What is the value of the hypotenuse?

Answers

Let the shorter leg = x

shorter leg =x 
longer leg = 2x + 4
hypotenuse = 3x - 4

Given that a² + b² = c²

x² + (2x + 4)² = (3x - 4)²

Remove brackets : (a + b)² = a² + 2ab + b²:
x² + 4x² + 16x + 16 =  9x² - 24x + 16

Moved all terms to the left:
x² + 4x² + 16x + 16 - 9x² + 24x - 16 = 0

Combine like terms:
-5x² + 40x = 0

Multiply all terms by -1:
5x² - 40x = 0

Take out 5x as common factor:
5x(x - 8) = 0

Apply zero product property:
5x = 0 or x - 8 = 0

Evaluate:
x = 0 or x = 8

Since length cannot be zero, shorter leg = 8

shorter leg = 8
Hypotenuse = 3(8) - 4 = 20

Answer: 20 units

A swimming pool has four faucets. the first can fill the entire pool with water in two days, the second - in three days, the third - in four days, and the last one can fill the pool in 6 hours. how long will it take to fill the pool using all 4 faucets together (be exact)?

Answers

Time taken to fill the pool by faucet:
A-2 days
B-3 days
C-4 days
D-6 hours=6/24=1/4 days
Thus the time taken for the 4 faucets working together to fill the pool will be the GCD of the time taken by the 4, which will be:
GCD(2,3,4,0.25)
=1
=1 day

Answer: 1 day or 24 hours

Twelve added to a number equals 18 find the number

Answers

The answer is the number 6
2x - 8 = x +10
x = 18, by subtracting 'x' from both sides, and adding 8 to both sides.

Find the value of n such that x2-10x+n is a perfect square trinomial.

A. -5
B. 50
C. 100
D. 25

Answers

The answer is the last option (Option D), which is:

 D. 25

 The explanation is shown below:

 1. You have that:

 (a ± b)^2=a^2 ± 2ab + b^2

 2. The expression given in the problem is:

 x^2-10x+n

 Where x^2=a and 2ab=10x

 2b=10
 b=10/2
 b=5

 3. Therefore, you have:

 b^2=5
 b^2=25

 b^2=n
 n=25

Answer:

the answer is 25!!

Step-by-step explanation:

I hope this is helpful to sum of y'all!!

how many times greater is the value of the 2 in 204,936 than the value of the 2 in 124,936


A. 1/100


B. 1/10


C. 10


D. 100


E. 1,000

Answers

I believe it would be C.10
The value of the 2 in 204,936 is 10 times greater than the value of the 2 in 124,936. So the answer is C

How many Liters of a liquid can be held in a barrel

Answers

a lot of water because it has to fill a barrel!!

Classify each number as rational or irrational.


1. 0.329

2. 127.5

3. -89

4. √--- 101

Answers

0.329 : Rational numbers
127.5 : Rational numbers
-89 : Rational numbers
[tex] \sqrt{101}[/tex] : Irrational numbers

Hope this helps. - M

Answer:

A rational number is a number with a finite number of numbers after the decimal point, or the numbers after the decimal point repeat a given patern.

An irrational number is a number with infinite numbers afther the decimal point, and those numbers have no pattern, are all "random", some examples are the roots of prime numbers, like square root of 2.

1) 0.329

It has a finite quantity of numbers after the decimal point: rational

2) 127.5

It has a finite quantity of numbers after the decimal point: rational

3) -89

It has a finite quantity of numbers after the decimal point: rational

4) [tex]\sqrt{101[/tex]

101 is a prime number, so the square root of 101 must be a irrational number.

Select all that are undefined. sec (45°) csc (0°) sec (90°)

Answers

sec(45°) = 1/cos(45°) = 1/(rt(2)/2) = rt(2)

csc(0°) = 1/sin(0°) = 1/0 /undefined/

sec(90°) = 1/cos(90°) = 1/0 /undefined/

Final answer:

The sec(45°) and sec(90°) are defined, but csc(0°) is undefined.

Explanation:

To determine which of the given trigonometric functions are undefined, we need to understand the domains of these functions. In trigonometry, the secant and cosecant functions are undefined for angles where the cosine and sine functions are equal to zero, respectively.

For sec(45°), the cosine of 45° is equal to √2/2, which is not zero. Therefore, sec(45°) is defined.For csc(0°), the sine of 0° is equal to 0, which results in division by zero. Hence, csc(0°) is undefined.For sec(90°), the cosine of 90° is equal to 0, which again leads to division by zero. Thus, sec(90°) is undefined.

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