A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is a. 128 b. 56 c. 512 d. 24

Answers

Answer 1

Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:

b. 56.

The order in which the items are selected is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 items are chosen from a set of 8, hence:

[tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]

Hence option b is correct.

More can be learned about the combination formula at https://brainly.com/question/25821700


Related Questions

Evaluate Grace's new budget.
ОА. Her new budget should have money in every budget category, including debts and medical expenses
OB. Her new budget should have money in medical expenses because she does not know what medical problems she will
encounter in the future.
OC. Her new budget is fine because debts and medical expenses were not needed last month.
OD. Her new budget should have money in debts so that she can afford to go into debt if she has medical expenses.

Answers

I think it is D

let me know
I’m sure it’s D but pls correct me

The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free
throws, find how many free throws she attempted.
a 3 free throws
c. 21 free throws
b. 7 free throws
d. 4 free throws


B
С
D
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

21

Step-by-step explanation:

I noticed that 4 times 3 equals 12, which is the number of free throws she completed. I multplied 3 by 7 and got 21

mhm so basically if you this about it the number of letters in the rainbow is also the color of your dog WAKE UP WAKEUP WAKEUP and if your dog's color matches the blue sky the answer is b

Which expression is equivalent to (x – 4)(2x2 – 3x + 7)?
A. -4x(2x2 – 3x + 7)
B. x(2x2 – 3x + 7) - 4
C. x(2x2 – 3x + 7) + 4(2x2 – 3x + 7)
D. x(2x2 – 3x + 7) - 4(2x2 – 3x + 7)

Answers

Answer:

A:

-4x(2x2 – 3x + 7)

Step-by-step explanation:

Help with this question

Answers

Answer:

b = 5√3

Step-by-step explanation:

I would honestly just use pythag, but I'll use trig:

tanθ = opposite/adjacent

tan(30°) = 5/b

btan(30°) = 5

b = 5/tan(30°)

b = 5/(√3/3) = 15/√3

b = 15/√3 · (√3/√3) = 15√3/3

b = 5/√3

Check with pythag:

a² + b² = c²

5² + 5√3² = 10²

25 + 25(3) = 100

25 + 75 = 100  ✅

I hope this helps!

Find the two correct values of x in the equation 3x² = y when y = 75.​

Answers

Answer:

5 and -5

Step-by-step explanation:

3x² = 75

x² = 75/3

x² = √25

x = 5 and - 5

Prove: AB/CD =AC/CD
Check out the other post with this question to understand it fully.

Answers

Answer:

Step-by-step explanation:

Sarah's family has a circular swimming pool The circumference of the pool is 25.12 m. What is its area

Answers

Answer:

4889.26m²

Step-by-step explanation:

[tex]Solution,\\\\Here,\\\\Circumference(C)=25.12 m\\\\Radius(r)=?\\\\As,\\\\\hookrightarrow Circumference=2\pi r\\\\\hookrightarrow 25.12m/2\pi =r\\\\\hookrightarrow r=39.45m\\\\Now,\\\\Area=\pi r^{2} \\\\Area=\pi \times(39.45m)^{2} \\\\Area=4889.26m^{2}[/tex]

Determine the net change between the given values of the variable.
f(x) = 7x − 9; x = 2, x = 3

Answers

Answer:

the net change is 7

if u substitute x with

2 u get 5

3u get 12

4 u get 19

The number of homeless people in a city decreased from 1800 to 1500. Find the percentdecrease in homelessness.​

Answers

Percentage decrease
= (1800-1500)/1800 x 100%
=300/1800 x 100%
= 16.67 %
Percentage decrease
= 16.67 %
The person above me is correct pls give them brainliest. Have a good day:)

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = [tex]\sqrt{165}[/tex]

Step-by-step explanation:

Pythagorean Theorm: a^2 + b^2 = c^2

a^2 + b^2 = c^2

14^2 + x^2 = 19^2

196 + x^2 = 361

x^2 = 165

x = [tex]\sqrt{165}[/tex]

K,
C^2= a^2+b^2
18^2=a^2+14^2
324=a^2+196
-196
A^2=128
Square root of 128= 11.314

Bob had 50 cupcakes. he gave 1/5 of the cupcakes to his uncle,, 2/5 of them to his Grandpa. Bob kept the rest. how many cupcakes did each person get?​

Answers

Answer:

Uncle=10, Grandpa=20, Bob=20

Step-by-step explanation:

Uncle: 50* 1/5 = 10

Grandpa: 50 * 2/5= 20

Bob: 50-(10+20)=20

Answer:

Uncle=10, Grandpa=20, Bob=20

Step-by-step explanation:

Uncle: 50* 1/5 = 10

Grandpa: 50 * 2/5= 20

Bob: 50-(10+20)=20

Step-by-step explanation:

20 POINTS ALL FOR YOU IF YOU ANSWER IT

Answers

Answer:

look i don't have a paper,but

(3x+10)+(2x+20)=180from here you can do the math and get the X

Answer:

x=30

angle ABC=100

angle DBC=80

A cylinder has a radius of 10 feet and a height of 11.4 feet.

What is the approximate volume of the cylinder?

Answers

Answer:

716.57

Step-by-step explanation:

V=πr2h

V = 2×22/7×10×11.4

= 716.571

give me a brainliest

june uses 12eggs to make cupcakes she uses 4eggs for each batch of cupcake

Answers

Answer:

12/4=3

Step-by-step explanation:

12/4

Answer:

3 batches

Step-by-step explanation:

Assuming that you are asking for how many batches she can make, we can divide 12 by 4 to find the number of batches.

A house blueprint has a scale of 1 in. : 6 ft. The length and width of each room in the actual house are shown in the table. Complete the table by finding the length and width of each room on the blueprint.

Answers

Answer:

The dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().

Given information:

A house blueprint has a scale of 1 in : 4 ft.

The length and width of each room in the actual house are shown in the table below:

 Living room  Kitchen  Office  Bedroom  Bedroom     Bathroom

Length  20             16    8              8                      20                6

width 8             16    16              16              20                8

The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.

So, the length and width of the different rooms in te house in the blueprint will be,

 Living room  Kitchen  Office  Bedroom  Bedroom       Bathroom

Length(in) 5             4            2              2                      5                        1.5

width(in)   2             4            4              4                      5                          2

Therefore, the dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().

For more details, refer to the link:

brainly.com/question/2305449

Step-by-step explanation:

hope this helps

Select all of the numbers that round to 5.1 when rounded to the nearest tenth.

A. 5.0
B. 5.01
C. 5.016
D. 5.099
E. 5.13
F. 05.17

Answers

Answer:

D and E

Step-by-step explanation:

PLEASE HELPPP !! use the pythagorean therorem equations and find the missing length of the side.

Answers

Answer:

if you want to find c do sqrt( a² + b²)

if you want to find a do sqrt( c² - b²)

if you want to find b do sqrt( c² - a²)

Find the area of this parallelogram.
A) 20 B) 24 C) 40 D) 60

Answers

[tex]\underline{\clubsuit{\bf{Given-}}}[/tex]

Height of the Parallelogram = 4cm

i.e, H = 4cm

Breadth of the Parallelogram = 10cm

i.e, B = 10cm

Measure a side of the Parallelogram = 6cm.

PS - Neglecting this because it is given just to puzzle us nothing else.

[tex]\underline{\clubsuit{\bf{To\:find-}}}[/tex]

the area of the Parallelogram.

[tex]\underline{\clubsuit{\bf{Concept-}}}[/tex]

Area of Parallelogram Formula

A parallelogram's area is defined as the space enclosed by two pairs of parallel lines. Since a rectangle and a parallelogram have identical properties, the area of a parallelogram equals the area of a rectangle.

What's the procedure to find?

To find the area of the parallelogram, we have to multiply the base (denoted by B) of the perpendicular by its height (denoted by H). We should keep in mind that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base. Thus, a dotted line is drawn to represent the height.

— Formula

Area of Parallelogram = Breadth (B) × Height (H)

[tex]\underline{\clubsuit{\bf{Solution-}}}[/tex]

Applying the formula and putting the values stated above,

[tex]\rightarrow{\sf{Area=10\times4}}[/tex]

[tex]\rightarrow{\boxed{\bf{Area=40cm^2}}}[/tex]

Hence, the area of the Parallelogram is 40cm².

pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9​

Answers

Answer:

5x(squared)-4x+1

2x(squared)+11xy+14

7x(squared)+7xy+3x-17

Step-by-step explanation:

I NEED HELP ASAP
QUESTION BELOW

Answers

Answer:

Circumference ≈ 50.27

Area ≈ 201.06

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex] while the area of the circle [tex]\pi r^{2}[/tex]

Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × [tex]\pi[/tex] × 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be [tex]\pi[/tex] × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)

In making a budget, a person should spend about one-third of his or her salary on
rent or housing, should put about one-tenth into a savings account, and should
plan to have about one-third taken out in taxes. What fraction of a person’s salary
is then left for everything else?

Answers

Lets see

One-third on rentOne tenth on savingsOne third for taxes

Left:-

1-(1/3+1/10+1/3)1-(20+20+3/30)1-43/3030-43/10-13/10

Not left anything

Round your answer to the nearest hundredth.

Answers

Answer:

41.81°

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Find the measure picture attached

Answers

Answer:

30

Step-by-step explanation:

90 - 60 = 30

In a history class, 30 students were asked about other courses that they were enrolled in: 20 said they were taking math, 22 were taking English and 26 students were in either math or English. a) How many students are taking both math and English b) How many are in neither c) What percent of the students are taking math but not English

Answers

16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English

What is probability?

Probability is the likelihood of occurrence of an event. It is given by:

Probability = number of occurrence / total possible outcomes.

Let x represent the number of students that took both maths and english, hence:

Number of students taking only maths = 20 - x

Number of students taking only english = 22 - x

26 = 20 - x + (22 - x) + x

42 - x = 26

x = 16

b) Those who took neither = 30 - 26 = 4

c) those taking only math = 20 - 16 = 4.

Percentage = (4/26) * 100 = 15.38%

16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English

Find out more on probability at: https://brainly.com/question/24756209

What is the mode of the data represented in this line plot?

Enter your answer in the box.

Answers

Answer:

3

Step-by-step explanation:

The mode is 3 because it is the most commonly repeating number in the data set.

The mode of the data represented in this line plot is 3

How to determine the mode?

From the line plot, we have the following frequency table

Data   Frequency

1               2

2            3

3            4

4            3

In the above frequency table, the entry 3 has the highest frequency of 4

Hence. the mode of the data is 3

Read more about mode at:

https://brainly.com/question/14532771

#SPJ2

Which value of x from the set 4, 5, 6, 7}, makes this equation true?
4(8 - x) = 8
A. 4
B. 5
c. 6
D. 7

Answers

4(8-x)=8

8-x=8/4

8-x=2

-x= 2-8

-x= -6

x=6

-> c

A populations growth rate is r=3% per year how many years does it need to reach ten times its initial size

Answers

Answer:

333.3 years

Step-by-step explanation:

The formula

I = Prt

Condition

I needs to equal 10 x P

Solving

I = Prt10P = Prt10 = 0.03 x tt = 10/0.03t = 10/3 x 100 = 1000/3 = 333.3 years

I’m having trouble can someone find this answer out

Answers

Answer:

f(x) = 13 when x = 10.

Step-by-step explanation:

[tex]f(x)=\frac{x}{2}+8[/tex]

[tex]f(10)=\frac{10}{2}+8[/tex]

[tex]f(10)=5+8[/tex]

[tex]f(10)=13[/tex]

Therefore, f(x) = 13 when x = 10.

Answer:

13

Solution:Plug in the value of x, which is equivalent to 10, instead of x:[tex]f(10)=\displaystyle\frac{10}{2} +8[/tex]f(10)=5+8f(10)=13

Hope it helps.

Do comment if you have any query.

Write the equation in slope-intercept form. y=−5(x+6)+2x

Answers

Answer:

y = −3x −30

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

y = −5(x + 6) + 2x <== distribute -5

y = −5(x) + −5(6) + 2x

y = −5x −30 + 2x <== combine like terms

y = −3x −30

y = −3x −30

-3 = slope-30 = y-intercept (0, -30)

Hope this helps!

You buy x bags of chips for $.75 per bag. How much do you spend on chips.

Answers

Answer:

Step-by-step explanation:

Equation

Cost = 0.75 * x

The answer is Cost = 0.75 * x

Other Questions
If a sample originally had 120 atoms of carbon-14, how many atoms will remain after 17,145 years? Assume the half life of C14 is 5715 years. Why would a private health organization exist? Select all that apply.promote research and education for a particular disease or afflictionprovides better health care than public health care can providelack of adequate resources for governmental health agenciesprovide treatments and techniques not legal in a particular country. The circumference of circles List 3 ways President Reagan cut down the size of the federal government ? Jacob can swim the 400-meter distance in 6.4 minutes now.How many more meters per minutes will Jacob need to swim to reach is goal?Explain how you found your answer. 4/15, 5/27, 7/18 Arrange the fractions in ascending order Question 21 ptsFreed African Americans faced many challenges after the war: no money, no education,and the condition of the South's Economy made job prospects bleak.O TrueO False1 pts. If you dont get enough calcium you mayafeel tiredbbe more susceptible to fracturescbecome dehydrateddan increase in body temperatureelose hair Jack has $1,331 in an account that earns 5% interest compounded annually.To the nearest cent, how much will he have in 3 years? Enter the output values (Y) with the given function and input values (X). A rock is dropped from a sea cliff, and the sound of it striking the ocean is heard 3.4 s later. if the speed of sound is 340m/s how high is the cliff? I NEED HELP! I WILL GIVE BRAINLEST AND POINTS TO THE ONE WHO ANSWERS MY QUESTION!! PLEASE HELP!Whats the theme of the story Reading Lesson by Edwidge Danticat? Complete the reasons for the proof.given:m 3 = m 4Prove 1 and 2 are supplementary Why did the u. S. Government attract criticism after hurricane katrina?. The attraction forces between mercury atoms in liquid mercury are stronger than the intermolecular forces between water molecules. which of the following is most likely true about mercury? it has a higher surface tension than does water. it exhibits greater capillary action than does water. it is very soluble in water. Find the surface area of the pyramid. Should the amendment , which allows for free speech , include all types of speech ? What about bad language racial slurs , and other words that hurt other people's feelings? What did is the total volume,in cubic feet of the shape below Heyy!!! so like maybe want to help me? aWeekly wages at a certain factory arenormally distributed with a mean of$400 and a standard deviation of $50.Find the probability that a workerselected at random makes between$250 and $300.Answer using the 68 - 95 - 99.7 rule.[ ? ]%