The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a
retirement home.
60-69. 70-79. Over 79. Total

Male: 12. 5. 1
Female: 8. 10. 4
Total
What is the relative frequency for females in the age group 60-69?
a. 3/20

b. 1/5

c. 9/40

d. 2/5​

Answers

Answer 1

Answer:

b) 8/40 = 1/5

Answer 2

The probability of the relative frequency for females in the age group 60-69 is 0.625.

We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.

here we have to find the probability that a resident is female.

What is the formula for probability?

[tex]Probability=\frac{Total \ numbers \ of \females}{Total \ number \of people}[/tex]

here the total number of females are=19+2+4

                                                              =25

and the total number of males=1+9+5

                                                   =15

Hence, the total number of people=25+15=40

So Probability=25/40

                      =0.625

Hence option D is correct.

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Related Questions

Math question down below

Answers

Answer:

E

E is the only one that ends with 70 and is also all multiples of 6.

Jarods bicycle wheel has a diameter of 27 inches. How far will the wheel have traveled in one full rotation? Use 3.14 for pi

Answers

Answer:

84.78 in

Step-by-step explanation:

in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is  [tex]2*3.14*13.5[/tex] which equals 84.78  

SOMEONE HELP PLSSS
suppose your friends parents invest $10,000 in an account paying 5% compounded annually. what will the balance be after 5 years?

Answers

Answer:

12,762.82$

Step-by-step explanation:

10,000(1+0.05)^5

Find the volume of the rectangular prism.







Formula: V = lwh



A.
84 m cubed

C.
72 m cubed

B.
89 m cubed

D.
92 m cubed

Answers

Answer:

84m³ (A) should be correct

Answer:

A

Step-by-step explanation:

Volume = length × width × height

= 7 × 4 × 3

= 84 m²

Twenty people apply for an open position at an accountant's office. The distribution of ages of the applicants is shown in the box plot.

Distribution of Applicant's Ages

How many of


age in years

the applicants have ages that fall within the box of the box plot?


Please help!!!!

Answers

Answer:

The number of applicants that have ages that fall within the box of the boxplot = 10.

Step-by-step explanation:

box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The boxplot usually consists of a box and a whisker plot.

The whiskers represent data that is less than the first quartile or 25th percentile and data that is more than the third quartile or 75th percentile.

The box of the boxplot is bounded by the first quartile or 25th percentile and the third quartile or 75th percentile.

Hence, the fraction of the distribution that is usually contained in the box of the boxplot is (75 - 25), 50% of the distribution.

The total number of applicants = 20

50% of 20 = 10.

Hence, the number of applicants that have ages that fall within the box of the boxplot = 10

Hope this Helps!!!

You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal
size. In this game, you win if the spinner lands on 1, 4, or 7. Your friend wins if the spinner lands on 2.5. or 8.
You tie if the spinner lands on 3. 6. or 9.
All the possible outcomes of the game are listed in the sample space
S = {1,2,3,4,5,6,7,8,9).
If we take A = {1.3.4.6:7.9} as a subset of the sample space, which of the statements below describe the
subset A?
Choose all answers that apply:

Answers

Answer:

-The subset consists of all of the outcomes where you do not lose.

-The subset consists of all of the outcomes where your friend loses, or there is a tie.

Step-by-step explanation:

Khan Academy

Statements that describe the subset A are option (a) and option (d).

What is a subset?

A set of which all the elements are contained in another set. Subset can be empty or equal to the set.

Given sample of space S = {1,2,3,4,5,6,7,8,9}

And subset M of S = {1,4,7} where you win in the spinner game.

If the spinner lands on the subset N of S = {3,6,9} , you tie.

Given A = {1,3,4,6,7,9,} is a subset of S.

Now to verify the options;

In option (a) ;

The subset consists of all the outcomes where you win that means your friend loses or there is a tie. Because subset A does not contain any elements of subset {2,5,8},  where you lose.

In option (b) ;

The subset consists of all the outcomes where your friend ties. That means subset should only contain the elements of subset N = {3,6,9}. Which is clearly not. So this option is incorrect.

In option (c) ;

The subset consists of all the outcomes where there is not a tie and your friend does not win. That means subset S should only contain the elements from {1,4,7}. which is contradiction so this option is also incorrect.

In option (d) ;

The subset consists of all the outcomes where you do not lose. That means subset does not have any element from {2,5,8}.

Hence Correct answers are option (a) and option (d).

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The complete question is ;

You and your friend are playing a game where you spin a circular spinner with nine numbered sections of equal size. In this game, you win if the spinner lands on 1,4, or 7. Your friend wins if the spinner lands on 2,5, or 8. You tie if the spinner lands on 3,6, or 9.

All the possible outcomes of the game are listed in the sample space S= { 1,2,3,4,5,6,7,8,9} If we take A= { 1,3,4,6,7,9} as a subset of the sample space, which of the statements below describe the subset A?

a) The subset consists of all the outcomes where your friend loses or there is a tie.

b) The subset consists of all the outcomes where your friend ties.

c) The subset consists of all the outcomes where there is not a tie and your friend does not win.

d) The subset consists of all the outcomes where you do not lose.

X is at least 2" can be represented by x > 2.

True
False

Answers

Answer:

True

Step-by-step explanation:

Answer: False

Explanation: if x was atleast 2, the sign would have to be a ‘greater than or equal to’ sign, not just a greater than sign

hope this helped! :)

What is the mean absolute deviation of this data set? 26, 31, 32, and 39

Answers

Answer:

3.5

Step-by-step explanation:

26, 31, 32, and 39

First we need to find the mean

(26+ 31+ 32+ 39) /4

128/4 = 32

The mean absolute deviation is sum of   the positive difference between the number and the mean  divided by the number of terms

((32-26)+ (32-31)+ (32-32)+ (39-32)) /4

14/4

3.5

does anyone know this ????

Answers

Answer:

What exactly is the question asking? Is that the full question? The answer is 20

Step-by-step explanation:

Answer:

20 sq units

Step-by-step explanation:

Is this angle acute right obtuse or straight

Answers

Answer:

obtuse

Step-by-step explanation:

Over 90 degrees

Answer:

Obtuse

Step-by-step explanation:

The angle is obtuse because the angle is more than 90 degrees.

Is 4by + 2b - by a binomial or a trinomial

Answers

Answer:

binomial

Step-by-step explanation:

4by + 2b - by

Combine like terms

3by +2b

This is a binomial since it has 2 terms

HELP!!!!!!!!!



Plz Show working:)​

Answers

Step-by-step explanation:

Hope this help you !! ;))

answer of (ii) : perimeter = 66m

area = 272m^2

How to change miles per hour to feet per second?

Answers

Answer:

1 mph = 1.46666667  fps

A runner won a 100-meter race with a time of 9.73 seconds. How can you use place value to explain this time?

Answers

Answer: The runner is going exactly 10.2774922919 meters per second

Step-by-step explanation: Using the ratio 100:9.73, we can simplify that to 10.2774922919:1

How many ways can you plant 15 flowers from a group of 36 flowers?

Answers

Answer:

30.

Step-by-step explanation:

You could do 15 times the amount by 2 then add 6.

help me you don’t have to explain!!

Answers

Answer:

option b ................

the choice you should choose is answer b

100 POINTS!!! NO JOKE!!! (IF YOU ANSWER THE QUESTIONS) It's a little time consuming but I want to see who can answer the fastest. I would really appreciate the answers to these asap. ONLY ANSWER IF YOU KNOW HOW TO DO THESE!!! They're easy but I don't want to do them.
Appreciate = Will mark Brainliest if correct
Thanks so much

Answers

Answer:

1. x = -4

  y = -20

2. x = -1

   y = 3

3. x = 7

   y = 4

4. x = -6.5

   y = -10.5

hope this helps :) sorry if I get it wrong!

Answer:

1) x=−4, y=−20

2) x=−1, y=3

3) x = 7 , y=4

4) x = -6.5 , y = -10.5

Step-by-step explanation:

1) y=5x;−3x+2y=−28

solving system by substitution:

substitute y =5x into 2nd equation:

-3x +2*5x =-28 → -3x+10x = -28 → 7x = -28 → x = -4

plug in  x in any equation and solve for  y = 5* -4 = -20

2) solving system by elimination:

Multiply the first equation by 7, and  the second equation by 5.

7(4x−5y=−19)

5(3x+7y=18)

----------------------

28x−35y=−133

15x+ 35y= 90

Add them up to eliminate y:

43x=−43 divide both sides by 43

x=−1

plug x back into 1st equation to solve for y

4x−5y=−19

(4)(−1)−5y=−19

−5y−4=−19 add 4 to both sides

−5y=−15 divide by -5

y=3

3) y =4 , 5x -6y = 11

plug in 4 for y in 2nd equation and solve for x:

5x -6* 4 =11 simplify

5x - 24 = 11 add  24 on each side

5x = 11 +24 simplify

5x = 35 divide by 5 on each side

x =7

4) y = x -4, 2x - y = -2.5

use substitution method:

2x -(x-4) = -2.5 distribute ( )

2x-x+4 = -2.5 simplify

x + 4 = -2.5 subtract 4 on each side

x = -2.5 -4

x = -6.5

plug in -6.5 for x in 1st equation and solve for y:

y = -6.5 -4

y = -10.5

i just need the work for 11 & 12. i know the answer for 11 is (16,4) and 12 is (5,7) but i don’t know how to work it out to get those answers. (solving a system of linear equations)

Answers

Answer:

Step-by-step explanation:let x be the number of bicycles,

let y be the number of tricycles

given x+y=20→equation 1

also given 2x+3y=44→equation 2

from eq 1, y=20-x

substitudin ineq 2

2x+3(20-x)=44

2x+60-3x=44

60-x=44

-x=44-60

=-16

x=+16

then y=20-16=4

no of bicycles=16

no of tricycles=4

hope this helps

plzz mark me brainliest

A 20-inch bicycle has tires with a diameter of 20 inches. What is the circumference of these tires?


31.4 inches

62.8 inches

314 inches

1256 inches

Answers

Answer:B

Step-by-step explanation:

c=2nr  or c=nd

2*3.14 * 10= 62.8

3.14 * 20= 62.8

The circumference of the tires is 62.8 inches.

What is Circumference?

Circumference of a circle is defined for non straight curves which is the length of the boundary of the curve.

Given that, a 20-inch bicycle has tires with a diameter of 20 inches.

Diameter of the tire = 20 inches.

Radius of a circle or a circular object is half of the diameter of it.

Radius of the tire = 20 / 2 = 10 inches

Circumference of a circular object = 2πr, r is the radius.

Circumference of the tire = 2π r

                                          = 2 (3.14) (10)

                                          = 62.8 inches

Hence the circumference of a bicycle tire is 62.8 inches.

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What is the area of the following right triangle?

Answers

Answer:

  30 square units

Step-by-step explanation:

The area of the given right triangle can be found a couple of ways:

Pythagorean theorem

The missing side length can be found using the Pythagorean theorem relation between the sides:

  c² = a² +b²

  13² = a² +5²

  a² = 169 -25 = 144

  a = √144 = 12

Then the area is ...

  A = 1/2ab = 1/2(12)(5) = 30 . . . square units

__

Trigonometry

The angle at lower right can be found from the trig relation ...

  Cos = Adjacent/Hypotenuse

  cos(A) = 5/13

  A = arccos(5/13) ≈ 67.38°

The area can be found from these side lengths and the angle:

  A = 1/2bc·sin(A)

  A = 1/2(5)(13)sin(67.38°) = 30 . . . square units

_____

Additional comment

The sine of the angle can be computed from the cosine using the identity ...

  sin(x) = √(1 -cos²(x))

In this case, the sine of the angle would be found to be 12/13, so the area would be computed as ...

  A = 1/2(5)(13)(12/13) = 1/2(12)(5) . . . . same as using the Pythagorean theorem


Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear.

Answers

Answer:

Step-by-step explanation:

Answer: Second point is (0.833,0)

Step-by-step explanation:

1. To determine slope you must use this formula Y= Mx + B

- M is the slope (positive or negative)

- B is the y-intercept

2. To find y-intercept you use (0, B)

3. M = -6/1

- 6 units down and 1 unit to the right since the slope is negative.

HELP ASAP 30 POINTS!~!!!


You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?

Answers

I got 536870912 hope this helps

wil give bianleast
What are the first four terms in the multiplication pattern given by the formula: 2 • 4n?


8, 32, 128, 512


8, 32, 64, 512


2, 8, 32, 128,


32, 128, 512, 2048

Answers

Answer: B, but technically, all of them are correct except C.

Step-by-step explanation:

First, you fill in 1 for n:

= 2 x 4(1)

= 2 x 4

= 8

Next, I filled in 4 for n:

= 2 x 4(4)

= 2 x 16

= 32

Then, I filled in 8 for n:

= 2 x 4(8)

= 2 x 32

= 64

You can already figure this one out, and the answer is B.

Answer:

all are correct except the third choice.

If there are 7 people in a family, 4 grandparents, a grandchild a mom and dad, what is the average age of each person, if all together they are 381 years old?

Answers

Answer: 54.43

Step-by-step explanation:

381 / 7

math question screen shot down below

Answers

Answer:

A

Step-by-step explanation:

If the current amount he has is B and its 7 LESS then he had earlier add 7 back to find the amount he add  at the start.

Answer:

b+7,Option 1

Step-by-step explanation:

Let the number of buttons Cole had at first be a,

We know,now he has b buttons remaining which is 7 less than a

In other words,

a-7=b

or,a=b+7

Brainliest and 10 points for answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

How do you find the x- and y-intercepts of an equation?

A) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for x.

B) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for y.

C) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for x.

D) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for y.

Answers

Answer:

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Answer:

C

Step-by-step explanation:

A, B, and D don't make sense

Which number sentence is true?
A. 78 = 68
B. 78 < 69
C. 78 = 75
D. 78 < 81
E. 78 > 84​

Answers

Answer: the answer choice “d” is correct

Step-by-step explanation:

because the different symbols mean different things and yeah

Answer:

D

Step-by-step explanation:

lesser value -------    < --------This side bigger value {open mouth}

78 < 81

81 is bigger than 78

Which statement is true about the circumference of a circle?

Answers

The circumference is equal to the radius of the circle. The circumference is equal to the diameter of the circle. The circumference is found by multiplying mc005-1.

Answer:

A) The circumference is equal to the radius of a circle.

Step-by-step explanation:

Here are the options:

A) The circumference is equal to the radius of the circle.

B) The circumference is equal to the diameter of the circle.

C) The circumference is found by multiplying Pi by the radius.

D) The circumference is found by multiplying Pi by the diameter.

The circumference of a circle is the distance around the circle. The radius is a line segment with one end point on the circle and the other endpoint on the center of the circle.

Which is the graph of g(x) = [X + 3]?

Answers

Answer

D or the fourth one because i took the quiz and got it right

Can someone explain this step by step

Answers

Answer:

Step-by-step explanation:

[tex]1)\sqrt[4]{81h^{4}}=\sqrt[4]{3*3*3*3*h^{4}}\\\\=\sqrt[4]{3^{4}*h^{4}}\\\\ =3*h\\\\=3h[/tex]

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