Professional Golfers' Earnings Two random samples of earnings of professional golfers were selected. One sample was taken from the Professional Golfers Association, and the other was taken from the Ladies Professional Golfers Association. At a=0.10, is there a difference in the means? The data are in thousands of dollars. Use the critical value method with tables. PGA 446 147 1344 8553 7573 9188 5687 10508 dlo LPGA 122 466 863 100 2029 4364 2921 Send data t0 Excel Use ", for the mean earnings of PGA golfers. Assume the variables are normally distributed and the variances are unequal. a State the hypothes entify the claim with the correct hypothesis; clalm 4q # /2 claim This hypothesis test is two-talled test. Pat Find th If there Qundtheransweris) corat east three decimalplaces ritical value; separate them with commas Critical value(s Part: 2 / 5 Part of 5 Compute the test value. Always round score values to at least three decimal places.'

Answer:

  B.  (3, 17)

Step-by-step explanation:

You want to solve this system of equations by substitution:

We are given an expression for y. Substituting that into the first equation gives ...

  x + (3x +8) = 20

  4x = 12 . . . . . subtract 8

  x = 3 . . . . . . divide by 4

  y = 3(3) +8 = 17

The solution is (x, y) = (3, 17).

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Answer:

A. 36.6

B. -94.18

C. -3.25

D. -75.01

E. -54.03

Answer:

a. 36.6

b. - 94.18

c. - 3.25

d. - 75.01

e. -54.03

Step-by-step explanation:

Hope this helps, have a great day

The relative speed of the car to the truck while moving towards each other is the sum of the speed of both vehicles.

Reasons:

The distance between the cities, d = 145 miles

The time it takes a truck to cover the distance = 2.5 hours

The speed of the car = 1.5 × Th speed of the truck

Required:

The time it takes them to meet if they are moving towards each other.

Solution:

\(\displaystyle Speed \ of \ the \ truck, \ v_{truck} = \frac{145 \ miles}{2.5 \ hours} = \mathbf{58 \ mph}\)

Therefore;

The speed of the car, \(v_{car}\) = 1.5 × 58 mph = 87 mph

At the time, t, the truck and the car meet, we have;

\(\mathbf{v_{car} \times t + v_{truck} \times t = d}\)

Which gives;

87 × t + 58 × t = 145

\(\displaystyle t = \mathbf{\frac{145}{87 + 58}} = 1\)

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After scoring 77, 87, and 74 on her previous three tests, Amy needs to score 66 on her next test in order to have an average of 76.

To find the score that Amy needs on her next test to have an average of 76, we need to use the formula for the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)

We know that Amy's current scores are 77, 87, and 74, and we want her average to be 76. Let's call the score she needs on her next test "x".
So, we can plug these values into the formula:
76 = (77 + 87 + 74 + x) / 4

Now, we just need to solve for x:
76 * 4 = 77 + 87 + 74 + x
304 = 238 + x
x = 304 - 238
x = 66

So, Amy needs to score a 66 on her next test in order to have an average of 76.

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Answer:

53(53+7)

Step-by-step explanation:

The correct answer of this question is;

A=(2x+4)

=2×37+4

=78

B=(2x-9)

=2×37-9

=65

Step-by-step explanation:

(2x+4)+(2x-9)+x=180(The sum of all angle of a triangle is 180°)

or,5x-5=180

or,5x=185

or,x=185/5

Therefore the value of x=37.

Answer:

17%

Step-by-step explanation:

90-75 = 15 (the amount of apple decreased by 15)

15/90 = 16/67%

16.67% rounded to the nearest percent, is 17%.

Hope that helps!

The mathematical model of an abstract syntax tree (AST) for a programming language's block (BL) statement typically involves representing the syntax of the statement using a tree structure.

This tree structure consists of nodes that correspond to different components of the statement, such as keywords, variables, operators, and expressions. The AST provides a way to parse and interpret the syntax of the statement, allowing for efficient compilation and execution of the code.

The model can be represented using various algorithms and data structures, such as recursive descent parsing or top-down parsing. Ultimately, the AST serves as a tool for developers to analyze, optimize, and debug their code, and is an essential component of many modern programming languages.

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\(\bold{\huge{\underline{ Solution }}}\)

Here, we have

We know that,

Therefore,

Interior angles of the given quadrilateral

We also know that,

That is,

\(\bold{ {\angle} B + {\angle } D + {\angle} E + {\angle } G = 360{\degree} }\)

Subsitute the required values,

\(\sf{ ( 180 - 9x){\degree} + (180 - 4x){\degree} + (180 - (5x + 25)){\degree} + (180 - (5x - 10){\degree} = 360{\degree}}\)

\(\sf{ 180 - 9x + 180 - 4x + 180 - 5x - 25 + 180 - 5x + 10 = 360{\degree}}\)

\(\sf{ 180 + 180 + 180 + 180 - 9x - 4x - 5x - 5x -25 + 10 = 360{\degree}}\)

\(\sf{ 720 - 23x - 15 = 360{\degree}}\)

\(\sf{ 705 - 23x = 360{\degree}}\)

\(\sf{ 705 - 360 = 23x }\)

\(\sf{ 23x = 345 }\)

\(\sf{ x = }{\sf{\dfrac{ 345}{25}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{ 345}{25}}}}\)

\(\bold{ x = 15 }\)

Thus, The value of x is 15°

All the exterior angles of the given quadrilateral are :-

Angle ABD

\(\sf{ = 9(15) }\)

\(\bold{ = 135{\degree}}\)

Angle CDB

\(\sf{ = 4(15) }\)

\(\bold{ = 60{\degree}}\)

Angle HGE

\(\sf{ = 5(15) - 10 }\)

\(\sf{ = 75 - 10 }\)

\(\bold{ = 65 {\degree}}\)

Angle DEG

\(\sf{ = 5(15) + 25 }\)

\(\sf{ = 75 + 25 }\)

\(\bold{ = 100 {\degree}}\)

Hence, All the exterior angles of the given quadrilateral are 135° , 60° , 65° and 100°

Answer:

the answer for this question is 35.0

The angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.

We have,

As we can see the attached figure,

Scale factor : Scale Factor is the ratio of size of new image formed to the size of old image and the image obtained is the scaled copy.

i.e.,

Scale factor = \(\frac{Change\ in\ size}{Original\ size}\)

So,

There are two Polygons abcd and pqrs,

And,

Polygon pqrs is the scaled copy of Polygon abcd,

So,

That means both polygons are similar,

so,

Their corresponding angles will be same,

So

We can say that angle corresponds to angle abc is angle pqr.

Hence, we can say that the angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.

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Answer:

p:q=1/3:2=1:6=3:18

p:r=3/4:1/2=3:2

p:q:r=3:18:2

i hope its help to you ✌

the answer is 101

hope that helped

The value of d(4) is 68, and the correct interpretation is "Joanna has cycled a total of 68 miles".

To find the value of d(4), we need to substitute t = 4 into the equation d(t) = 12t + 20.

Here's how we can do that:

1. Start with the given linear equation:

d(t) = 12t + 20

2. Substitute t = 4 into the equation:

d(4) = 12(4) + 20

3. Simplify the expression:

d(4) = 48 + 20

d(4) = 68

Therefore, the value of d(4) is 68. This means that after 4 hours of cycling and stopping for a break, Joanna has cycled a total of 68 miles.

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The complete question:

Let d(t) be the total number of miles Joanna has cycled, and let t represent the number of hours after stopping for a break during her ride.

d(t)=12t+20

So, d(4) = [32,96,88,68].

This means that after [cycling 4 miles, 4 hours, a 4-hour break, cycling at a speed of 4 mph], Joanna [took a 96-minute break, cycled for 68 miles total, rode for 32 hours total, cycled 88 miles total].

Find the value of d(4).

Answer:

456.2 units², so answer d

Step-by-step explanation:

The area of the square base is ...

 base area = w² = (10 units)² = 100 units²

The lateral area is 4 times the area of one rectangular face:

 lateral area = 4wx = 4(10 units)(5 units) = 200 units²

The area of one triangular face is half the product of its base length (w) and its slant height (h). The latter is found using the Pythagorean theorem:

 h² = y² +(w/2)² = (6 units)² +((10 units)/2)² = 61 units²

 h = √61 units

So, the area of 4 triangles is ...

 area of triangular faces = 4(1/2)wh = 2(10 units)(√61 units) ≈ 156.2 units²

Now we have the areas of the parts, so we can add them together to get the total surface area:

 surface area = base area + lateral area + area of triangular faces

 = 100 units² + 200 units² + 156.2 units²

 surface area = 456.2 units²

Answer:

  15

Step-by-step explanation:

Each bracelet takes 28+10 = 38 elastic bands. If you have 600 bands, you can make ...

  600/38 = 15 30/38 . . . bracelets

You can make 15 complete bracelets.

__

You will have 30 elastic bands left over.

Answer:

Length of the hypotenuse = 23.43ft

Step-by-step explanation:

First leg = 15ft

Second leg = 18ft

Length of the hypotenuse = ?

In a right angle triangle,

Hypotenuse^2 = opposite^2 + Adjacent^2

Let first leg and second leg of the triangle be opposite and adjacent respectively

Hypotenuse^2 = opposite^2 + Adjacent^2

= 15^2 + 18^2

= 225 + 324

= 549

Hypotenuse^2 = 549

Find the square root of both sides

√Hypotenuse^2 = 549

Hypotenuse = 23.43ft to the nearest of a hundredth

Length of the hypotenuse = 23.43ft

Answer:

\(h(x)=\left(\cfrac{1}{10}\right)^3\)

_______________

x      h(x)

-3     (1/8)^{-3}= 1000

-2     (1/8)^{-2}= 100

-1       (1/8)^{-1}=  10

0       (1/8)^{0}=   1

1         (1/8)^{1}= 1/10

________________

~

Answer:

D) 45 ounces for $4.50

Step-by-step explanation:

You have to find the price of one unit (ounce) for each. You can do this by dividing the price by quantity. The one with the lowest price is the best deal.

A) 32 ounces for $4.00

$0.13 for 1 ounce

B) 60 ounces for $6.75

$0.11 for 1 ounce

C) 48 ounces for $5.00

$0.11 for 1 ounce

D) 45 ounces for $4.50

$0.10 for 1 ounce

The best choice will be option D. That is 45 ounces for $4.50.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

You have to find the price of one unit (ounce) for each. You can do this by dividing the price by quantity. The one with the lowest price is the best deal.

A) 32 ounces for $4.00

$0.13 for 1 ounce

B) 60 ounces for $6.75

$0.11 for 1 ounce

C) 48 ounces for $5.00

$0.11 for 1 ounce

D) 45 ounces for $4.50

$0.10 for 1 ounce

The complete question is given below.

A company is trying to decide which container of coffee to buy for a staff meeting. Which of the following would be the best deal? Hint: find the best unit cost

Group of answer choices

32 ounces for $4.00

60 ounces for $6.75

48 ounces for $5.00

45 ounces for $4.50

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Answer:

Step-by-step explanation:

Neither are a function because they do not pass the vertical line test.

Answer:

moderate since the lines are similar

Answer:

The answer is 50%

Step-by-step explanation:

Answer:

-5 is the slope

Step-by-step explanation:

Here is the formula

y2-y1

____

x2-x1

Answer:I think it would be 3 cups per day it would only make sense :)

Step-by-step explanation:

A histogram is a univariate display of quantitative data that organizes data into bins and shows the frequency of observations within each bin.


A histogram is a graphical representation that displays the distribution of quantitative data. It consists of a series of contiguous bars, where each bar represents a specific range or bin of values, and the height of the bar corresponds to the frequency or count of observations falling within that range.

Histograms are commonly used to visualize the shape, central tendency, and spread of a dataset. By examining the heights of the bars, one can determine the frequency of values within each bin and identify patterns such as peaks or clusters. This makes histograms an effective tool for exploring the distribution and characteristics of a single variable in a dataset.

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