Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?

The ordered pair (–2, 7) is viable.
The ordered pair (0, 7) is viable.
The ordered pair (17, 3) is viable.
The ordered pair (20, 5) is non-viable.

answers are in the photo

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The margin of error associated with the confidence interval is 0.02.

The 95% confidence interval for the population proportion is defined as:

p ± z(0.05 / 2) × √[p ( 1 − p )/ n]

We have,

p − z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.73                                     ----------- ( 1 )

p + z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.77                                    ----------- ( 2 )

Adding the above two equations,

p − z(0.05 / 2) × √[ p ( 1 − p )/ n ] + p + z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.73 + 0.77

2p = 0.73 + 0.77

2p = 1.5

p = 0.75

Now, Subtracting the equations ( 1 ) and (2),

We get,

p − z(0.05 / 2) × √[ p ( 1 − p )/ n ] - p - z(0.05 / 2) × √[ p ( 1 − p )/ n ] = 0.73 - 0.77

−2 × z(0.05 / 2) × √[ p ( 1 − p )/ n ] = -0.44

z( 0.10 / 2) × √[ p ( 1 − p )/ n] = 0.02

The margin of error is defined by the formula:

M E = z(0.05 / 2) × √[ p ( 1 − p )/ n]

Therefore, The margin of error will be:

M E = 0.02

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Answer: x = − 116/3

Step-by-step explanation:

Evaluate 5/3​x + 1/3 = 13/1/3 +8/3​x

Multiply the numbers 5x/3 + 1/3 = 13/1/3 + 8/3x

Simplify 5x/3 + 1/3 ​= 39 + 8x/3

Multiply both sides  5x/3 ​× 3 + 1/3 × 3 = 39 × 3+ 8/3x ​× 3

Simplify the expression 5x+1=117+8x

Move the variable to the left side 5x+1−8x=117

Subtract the terms −3x+1=117

Move the constant to the right side −3x=117−1

Subtract the terms −3x=116

Divide both sides −3x/-3 ​ = 116/-3

Simplify −3x/-3 ​ = 116/-3

Solution  ​x = − 116/3

Answer:

5/32, 3/16, 1/4

Step-by-step explanation:

Make an common denominator: multiply 1/8 by 4/4 to get 4/32

Multiply 3/4 by 8/8 to get 24/32

all possible values: 4/32 through 24/32

5/32

6/32 (Divide by 2 => 3/16 )

8/32 (Divide by 8 to get 1/4)

a)

The x-intercept can be found as:

Therefore, the x-intercept is: (-2,0)

The y-intercept can be found evaluating the function for x = 0, so:

b) The parent function for this is given by:

c)

1st: A reflection over y-axis:

2nd: A horizontal compression:

3rd: A horizontal translation 8 units to the left:

4th: A reflection over y-axis:

5th: A vertical compression:

6th: A vertical translation 1 unit up:

d)

Where the blue graph is the parent function:

And the red graph is the function after the transformations:

e)

The domain and the range are:

The smallest possible value of the seventh term of the sequence is 104 .

A sequence is an ordered group of items in mathematics where repetitions are permitted and order is important.

Let the first two terms of the first sequence be a and b and the first two of the second sequence be c and d.

Computing the seventh term,

we see that 5a + 8b = 5c + 8d.

Note that this means that a and c must have the same value of |8|.

To minimize, let one of them be 0;

We assume that a= 0.

Thus, the smallest possible value of c is 8; and since the sequences are non-decreasing we get d > 8.

To minimize, let d = 8. Thus, 5c + 8d = 40 + 64 = 104.

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By the concept of unitary method she can run 320 yards  in 2 minutes at the same rate.

The unitary method is a technique used to determine the value of a single unit from the value of many units and the value of multiple units from the value of a single unit. We typically utilize it for math calculations. This approach might be helpful for answering questions on ratio and proportion, algebra, and other subjects. "It is a method where we get the value of a single unit from the value of many units and the value of multiple units from the value of a single unit." bra, geometry, etc. Before determining the value of additional or less items, we must first determine the value of one item by dividing it. There are two categories of unitary approaches.

720 yards = 4.5 minutes

1 minute = 720/4.5

= 160 yards

2 min = 160(2)

= 320 yards

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Regarding the situation described, we have that:

a. The ball travels 21.4 feet.

b. The assumption is that the ball was served at an angle of 90º.

c. The Pythagorean Theorem was used to solve this problem.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle(triangle which has an angle of 90º between the two legs) with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following rule:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In the context of this problem, it is found that:

Assuming that the ball was served at an angle of 90º, the distance traveled by the ball is the hypotenuse of a right triangle of legs 7.5 feet and 20 feet, hence:

d² = 7.5² + 20².

d = sqrt(20² + 7.5²)

d = 21.4 feet. (which is Justin's estimate).

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Answer:

A is 5

B is 3

C is 2

D is 4

E is 3

F is 5

Answer:

  (b)  30

Step-by-step explanation:

Given a set of ordered pairs (green, red) = {(2, 6), (3, 9), (5, 15), (6, 18), (10, x)}, you want to know the value of x.

The ratio of the red value to the green value is 6/2 = 3 in each case. To keep that ratio, we must have ...

  x/10 = 3

  x = 30 . . . . . . multiply by 10

Let's begin by listing out the information given to us:

To the nearest hundredth, pi + the square root of forty roughly equals 9.47. The best choice is B.

Rounding a number to a particular value reduces the complexity of the number while increasing readability and accessibility.

When you round to a certain point, the exact digits are maintained on the left side of that point but are rounded or somewhat trimmed from the right.

The limit is set at five.

All right-sided values are made zero if the right-side digit to the digit where we must round off is less than or equal to five; otherwise, it is increased by one and the remaining right-side digits are made zero. If the digit to the right of the decimal point is 5, and there are just zeros or no values after it, we round up (raise by 1 as in 347500 to 34800). (Well there are many detailed rules of rounding)

The following can be used to represent the provided expression, "pi plus the square root of forty to the closest hundredth,"

π + √40

= 3.1416 + 6.3245

= 9.4661 ≈ 9.47

Value is therefore 9.47.

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Answer:

I can't tell if this is division or two separate answers. So, I'll answer both!

Division: 0.222

Answer to (12)^1/6: 2

Answer to (3)^1/2(2)^1/3: 1

The statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence due to  being a reflection of itself

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

WE have been given that the statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence.

The reflexive property of congruence says that any geometric figure is congruent to itself.

Any figure being a reflection of itself and that is why they are congruent. For example, the triangle ∠CBA is congruent to ∠ABC.

The statement line LR ≅ line RL and ∠CBA ≅ ∠ABC are both true by the Reflexive Property of Congruence due to  being a reflection of itself

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The 2lb candy cost the owner $8 and the 3lb candy cost the owner $4.5

The total weight of the candy is

[tex]3 + 2 = 5[/tex]

Let's write equation for this.

[tex]3(1.50) + 2x = 2.5(5)\\4.5 + 2x = 12.5\\12.5 - 4.5 = 2x \\8 = 2x\\x = 4[/tex]

The cost of the 2 pound candy is $4 per unit and the store owner spent $8 in the 2lb candy.

The cost of 3 pound candy was $4.5

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Answer:

3 should be the answer to your question

A yard is a unit of measurement of length equal to 3 feet or approximately 0.914 meter. Hence, to measure the length of a parking lot we use unit yard

What is a Unit ?

A unit, like a building block, is a single, complete portion of something. Before moving on to another unit on geometry in math class, you might complete a unit on algebra. There are also other types of units of measurement, such inches and miles.

Since we know that
A Parking lot is a big area

So we should take a unit that is used to measure bigger area

Thus we use yard for measuring the Parking lot

A yard is a unit of measurement of length equal to 3 feet or approximately 0.914 meter

Hence, to measure the length of a parking lot we use unit yard
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We can conclude that (A) yes, the table shows the constant of proportionality of 1/5.

So, the constant of proportionality of the given table:

Formula: k = y/x

So, substitute the values in the formula as follows:

So, yes, the table shows the constant of proportionality of 1/5.

Therefore, we can conclude that (A) yes, the table shows the constant of proportionality of 1/5.

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The volume the rest of the items in the box take up (in cubic inches) is (x-3240) cu in.

What is volume?

Let the volume of the full box be = x cu in

The volume of the computer box = 9 in. x 18 in. x 20 in. = 3240 cu in

Volume the rest of the items in the box take up (in cubic inches)

= x cu in - 3240 cu in = (x-3240) cu in

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Based on the calculations, the final velocity of this car is equal to 85.0 mi/hr.

In order to determine the final velocity of this car, we would first calculate its acceleration based on the parameters provided. Mathematically, the acceleration of an object can be calculated by using this formula:

a = (V - U)/t

Where:  

Substituting the given parameters into the formula, we have:

a = (70.0 - 0)/10

a = 70.0/10

Acceleration, a = 7.0 mi/hr².

Now, we can determine the final velocity of this car as follows:

V = U + at

V = 50.0 + (7.0)(5)

V = 50.0 + 35.0

Final velocity, V = 85.0 mi/hr.

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Complete Question:

If a car can go from 0.0 mi/hr to 70.0 mi/hr in 10.0 seconds, what would be its final velocity after 5.0 seconds if its starting velocity was 50.0 mi/hr

The things that can lead to bias include:

The question uses an inaccurate tool.

Some subgroups may be at a disadvantage due to prior experiences.

A medical research study assigns the healthier patients to the group using the new treatment and the sicker patients to the group using the traditional treatment.

It should be noted that bias simply means anything that leads to a systematic difference between the true parameter.

It should be noted that in a situation where the question uses an inaccurate tool. This will lead to bias and bring about inaccuracy.

Also, using different tools for the patients can lead to bias.

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Answer:

8 inches can be purchased for 32 cents.

​5.8×10^-10 in standard form is: 0.00000000058.

Standard form can be defined as the way of written a number of digit in a simple form for easy understanding.

Given data:

​5.8 × 10 ^ -10

Now let ​this scientific notation 5.8 × 10 ^-10 into a standard form.

We know that  5.8×10^-10  can be re-written as :

5.8 ÷ 10 ^-10

= 5.8 × 10×10×10×10×10×10×10×10×10×10

= 5.8 ÷ 10000000000

= 0.00000000058

Hence,

​5.8×10^-10 = 0.00000000058

Therefore we can conclude that 0.00000000058 is the standard form of ​5.8  ×10 ^-10.

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Step-by-step explanation:

come on, this is really simple.

you need to put the given values of x into the places, where x appears in the functional expression.

which expression to be used ? that depends on the given value.

x = -1

is -1 >= 0 (to use the case for x >= 0) ? no, it is not.

-1 < 0, so we need to use the expression for x < 0.

y = -1 - 2 = -3

x = 0

is 0 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×0 + 1 = 0 + 1 = 1

x = 1

is 1 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×1 + 1 = 3 + 1 = 4

x = 2

is 2 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×2 + 1 = 6 + 1 = 7

Answer:31%

Step-by-step explanation:

A. The algebraic expression that represents the total number of miles Leah runs each week is 5*M.

B. The algebraic expression that represents the total number of miles Leah runs in a year is 260*M.

Leah runs M miles everyday during the week except for Wednesday or Sunday.

We need to write the algebraic expression that represents the total number of miles Leah runs each week. Leah runs for 5 days in a week. The total number of miles run in a week is 5*M.

We need to write the algebraic expression that represents the total number of miles Leah runs in a year. Leah runs 5*M miles in a week. The total number of miles run in a year is (5*M)*52 = 260*M.

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In the estimation, the missing values are 8 and 1 respectively.

Approximation is the process of using rounded values when presenting numerical data and making rough calculations.

The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up.

Since the number after the digit 8 in 8.41 is 4, we will round down 8.41 to 8

Also, the number after the digit 0 in 0.61 is 6, so we will round up 0.62 to 1

Therefore, the missing values in the estimation are 8 and 1 respectively.

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Answer:

31.4

Step-by-step explanation:

C=2πr=2·π·5≈31.41593in

Answer:

my best answer is C) angle 7. But there is not much context so i'm not 100% sure

Step-by-step explanation: