Two-Way Tables
Laura wants to know whether the top golfers in the world tend to be American. To do this, she searches the Internet to find the current top-20 male golfers and top-20 female golfers and records whether they are American. This two-way table shows her data. Keep the two way table window open as you work on the tasks.


Male Female
American 11 6
Not American 9 14

Part A
Find the relative frequencies by rows.

Part B
Find the relative frequencies by columns.

Part C
Of the male golfers, do the top golfers tend to be American? Why or why not?

Part D
Of the female golfers, do the top golfers tend to be American? Why or why not?

Part E
Of the Americans, are the male golfers or the female golfers more likely to be highly ranked?

Part F
Of the non-Americans, are the male golfers or the female golfers more likely to be highly ranked?

Given:

A bag containing the numbers 2,4,6,8,10,12.

To find:

The probability of selecting two numbers less than 10.

Solution:

We have,

Total numbers = 6

Numbers less than 10 are 2,4,6,8.

Numbers less than 10 = 4

Probability of getting a number less than 10 is:

[tex]P(\text{Less than 10})=\dfrac{\text{Numbers less than 10}}{\text{Total numbers}}[/tex]

[tex]P(\text{Less than 10})=\dfrac{4}{6}[/tex]

[tex]P(\text{Less than 10})=\dfrac{2}{3}[/tex]

We select the second number with replacement. So, the probability of second draw is same as the probability for first draw.

Probability of selecting two numbers less than 10 is:

[tex]\text{Required probability}=P(\text{Less than 10})\times P(\text{Less than 10})[/tex]

[tex]\text{Required probability}=\dfrac{2}{3}\times \dfrac{2}{3}[/tex]

[tex]\text{Required probability}=\dfrac{4}{9}[/tex]

Therefore, the probability of selecting two numbers less than 10 is [tex]\dfrac{4}{9}[/tex].

Answer:

785

Step-by-step explanation:

did the math in a calculator I got yoy

Answer:

D. 785

Step-by-step explanation:

the formula to find the surface area of a cylinder is A=2πrh+2πr^2

the diameter is a straight line through the center of a figure so half of that would be the radius and our diameter is 10 so the radius is 5

our height is 20 so now we put it into the equation it will look like this

2·π·5·20+2·π·5^2

once you do the math you will get 785.39816

Answer: the amount of each tractor should have been 15000

Step-by-step explanation:

sorry if wrong pls don’t be mad

Answer:

Step-by-step explanation:

Since,

It's a rectangle so it will be formed on the coordinate which is 3units above dot(3,5) in picture where above the dot there is no point .

Answer:

x=10.4

Step-by-step explanation:

well 20*5=what? 20*5=100 but then x would have to be a decimal. not a tough one though.

10*x (x being 10) 10*10 would be 100 but then you would have to subtract 4 from it. it's easy. 10 *10.4 is 104.

x would = 10.4 to get this result

Answer:

Direct variation

Step-by-step explanation:

Direct variation:y=kx

Inverse variation: y=k*1/x

Answer:

[tex] \frac{14.4}{9} = 1.6[/tex]

Answer:

$1.55

Step-by-step explanation:

14.01÷9 gives you the prics if each industry mug ie a unit

Answer:

Hey mate.......

Step-by-step explanation:

This is ur answer.....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

0.000002

Step-by-step explanation:

since its -6+2 you need to move the decimal place in 2, 6 places foward. So the number would go from 2 to 0.000002.

Answer:

6x+y=2

Step-by-step explanation:

y=-6x+2

6x+y=2

Answer:

angle x= 38 degrees

Step-by-step explanation:

Supplementary angles are equal to 180 degrees. We know angle y is equal to 142 degrees. Therefore, the equation is 180-142 which is equal to 38. Angle x is equal to 38 degrees.

If this helps please mark as brainliest

Let the three consecutive integers be x, x+1 and x+2.

According to the question, x+x+1+x+2=51

=>3x+3=51

=>3x+3-3=51-3

=>3x=48

=>x=16

Hence, first integer = 16,

second integer = 16 + 1 = 17 and

third integer = 16 + 2 = 18.

Answer:

1. a

2. d

3. 31/4

4. 57.6

5. a

hope it helped u

Answer:

option B

Step-by-step explanation:

Any number exponent 0.5 is a root of itself

Answer: 7/10

Step-by-step explanation:

Number of people surveyed = 60

Number of people who responded Yes = 42

The relative frequency will be the fraction of those who responded yes divided by the total people surveyed. This will be:

= 42/60

= 7/10.

The relative frequency is 7/10.

Answer:

cos A = 24/51

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

Cos theta = adj side/ hypotenuse

cos A = 24/51

Step-by-step explanation:

We know that cosA=Base/hypontenuse

➡CosA=24/51

This is a right angle triangle

Cos theta=Base/hypontenuse

Answer:

7.2

Step-by-step explanation:

6^2+4^2=c^2

36+16=c^2

52=c^2

x=7.2

Answer:

9.44 x 10^4 in scientific notation

Step-by-step explanation:

Answer: 9.43x 10^4

Step-by-step explanation:

Answer:

Unit rate!

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

~ LadyBrain

Answer:

Omggg twins I'm doing the Iready too:> Anyway I had that question and I selected 1.62

The average rate of change of function [tex]y= \sqrt[3\\]{x}[/tex] over interval [2,7] to rounding to nearest hundredth is 0.13

The Correct option is (b)

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing.

i.e.,  [tex]\frac{f(b)- f(a)}{b-a}[/tex]

It  has been asked in the question the average rate of function over interval [2,7].

The values are given in the table.

So, the rate of change of f(x) on interval [a, b] = [tex]\frac{f(b)- f(a)}{b-a}[/tex]

we have, a=2 and b=7

Thus, [tex]\frac{f(b)- f(a)}{b-a}[/tex] =  [tex]\frac{\sqrt[3]{7} -\sqrt[3]{2} }{7-2} {[/tex]

                       =[tex]-\frac{\sqrt[3]{2} }{5}+\frac{\sqrt[3]{7} }{5}[/tex]

                       =0.1306

                       ≈ 0.13 (rounding off nearest hundredth)

Learn more about average  rate of change of function here:

https://brainly.com/question/16023603

#SPJ2

Answer:

A u B = {1,3,5,7,9,11,13,15,17,19,23}

A n B = {5,7,11,13}

Step-by-step explanation:

The prime numbers between 4 and 25 are; 5, 7, 11 , 13 , 17 , 19 and 23

A = {5, 7,11, 13, 17, 19,23}

B are odd numbers less than 16

B = {1, 3 , 5,7,9,11,13,15}

The union of both is the list of all values present in both sets without repeating;

A u B = {1, 3, 5,7,9,11,13,15,17,19,23}

A n B is the set that contains values that are present in both sets

A n B = {5,7,11 , 13}

Answer:

A

Step-by-step explanation:

And H=13 bc 7+13=20

Also I love your pfp!!:)

Answer:

About 95

Step-by-step explanation:

If she bought her camera 15 days ago, then you just divide 1427 by 15. You can't take parts of pictures, so it has to be a whole number, so you round.

Answer:

95.1333333333 you should probably round it but thats how many photos she took each day

Step-by-step explanation:

1427/15= photos taken each day

Given:

ST || RU

To find:

The measure of QS.

Solution:

In triangle QRU and QST,

[tex]\angle RQU\cong \angle SQT[/tex]              [Common angle]

[tex]\angle QRU\cong \angle QST[/tex]              [Corresponding angle]

[tex]\triangle RQU\sim \triangle SQT[/tex]              [AA property of similarity]

The corresponding sides of similar triangles are proportional.

[tex]\dfrac{QR}{QS}=\dfrac{QU}{QT}[/tex]

[tex]\dfrac{23}{QS}=\dfrac{25}{25+50}[/tex]

[tex]\dfrac{23}{QS}=\dfrac{25}{75}[/tex]

[tex]\dfrac{23}{QS}=\dfrac{1}{3}[/tex]

On cross multiplication, we get

[tex]3(23)=1(QS)[/tex]

[tex]69=QS[/tex]

Therefore, the measure of QS is 69.

Answer:

48

Step-by-step explanation:

I'm assuming it's just multiplication with given info

m3n = (8)3(2) = 24(2) = 48

Answer:

Step-by-step explanation:

we know that the triangle to the center is an isosceles,  so the two angle on the circle of that triangle are the same.   both 41,  so 41*2 =82  

all the way around that isosceles triangle is 180  so

180-82 = 98

the angle at O is 98°

the arc BC spans 98°

angle 'a'  is 1/2(98°)

a = 49°

Answer:

the value of x is 7.5

Step-by-step explanation:

Answer:

La razón entre el total de alumnos y los ausentes es [tex]\frac{6}{21} =\frac{2}{7}[/tex]

Step-by-step explanation:

En el club de teatro asistieron 15 alumnos a clases. En total, son 21 alumnos. Entonces la cantidad de alumnos ausentes se calcula como la diferencia entre la cantidad total de alumnos y la cantidad de asistentes, esto es:

21 alumnos - 15 alumnos= 6 alumnos

La cantidad de alumnos ausentes es 6.

La razón es la comparación de dos cantidades y se mide como el cociente entre dos números o cantidades comparables entre sí, que se expresa como una fracción. Es decir, la razón entre 2 números a y b es el cociente [tex]\frac{a}{b}[/tex].

Entonces, la razón entre el total de alumnos y los ausentes es [tex]\frac{6}{21} =\frac{2}{7}[/tex]

Answer:

First, we can find the least common denominator for 8 and 3 which is 24.

5/8 = 15/24

1/3 = 8/24  

Then we can divide 15/24 by 8/24 which is 2 1/4.

If we then do 16 divided by 2 1/4 we get 7 1/9

Answer = 7 1/9

Step-by-step explanation:

Answer:

y = 4x - 7 (Answer C)

Step-by-step explanation:

First find the slope of this line.  Note that as we go from (2, 1) to (3, 5), x (the 'run') increases by 1 and y (the 'rise') increases by 4.  

Thus, the slope, m, is

m = rise / run = 4/1, or m = 4.

Apply the point-slope form of the equation of a straight line, since we now have both the slope and two points on the line:

y - k = m(x - h) becomes y - 1 = 4(x - 2)

Solving for y, we get:  y = 4x - 8 + 1, or y = 4x - 7 (Answer C)