Suppose the sample space for a probability experiment has 8 elements. If elements from the sample are selected
without replacement, how many different ways can you select all of them?
55
Drive
Remember that "without replacement" means that the items are not returned to the sample space after they are chosen.
Recording
Write your answer in factorial notation.

Answers

Answer 1

Answer:

You can select all of them is 40320 ways.

Step-by-step explanation:

Number of arrangements of n elements:

The number of arrangements of n elements, that is, the number of ways in which n elements can be chosen without replacement, is given by:

[tex]A_{n} = n![/tex]

In this question:

8 elements, so:

[tex]A_{8} = 8! = 40320[/tex]

You can select all of them is 40320 ways.


Related Questions

Please help with math asap:
Rewrite without parentheses and simplify
(y+7)^2

Answers


y * y = y^2
y * 7 = 7y
7 * y = 7y
7 * 7 = 49

So we have:

y^2 + 7y + 7y + 49

Combine like terms:

y^2 + 14y + 49

Convert 1.375 to decimal fraction؟

Answers

Step-by-step explanation:

11/8 if I'm not wrong

...

Answer:

fgiigdyh

Step-by-step explanation:

Write the polynomial in factored form as a product of linear factors:
p(a) = a^3 + 3a^2+ 9a + 27
zeros of polynomial.

Answers

Answer:

Step-by-step explanation:

p(A) = a^3 + 3a^2 + 9a + 27

put brackets around the 1st and second terms and another set around the 3rd and 4th

P(a)= (a^3 + 3a^2) + (9a + 27)

Using the distributive property, pull out the common factor for each of the 2 terms that contain the brackets.

P(a) = a^2 ( a + 3) + 9(a + 3)

Let a + 3 = x

P(a) = a^2x + 9x

Put brackets around these 2 terms

P(a)= x(a^2 + 9)

Substitute a + 3 for x

P(a) = (a + 3) ( a^2 + 9)



an exponential function is graphed on the gid. which function is best represented by the graph

a) g(x)=6(1/3)^x
b)g(x)=6(3)^x
c) g(x)=6-(1/3)^x
d) g(x)=6-(3)^x​

Answers

I think it’s a - explanation

a company makes carboard cylindrical boxes with a diameter of 10 inches and a height of 8 inches.how many square inches of carboard are needed for each box? Use 3.14 for pi.

Answers

Answer:

408.2sq inches

Step-by-step explanation:

Area of the cylindrical box = 2πr(r+h)

r is the radius  = diameter/2

r = 10/2 = 5in

h is the height = 8in

Substitute

Area of the cylindrical box  = 2(3.14)(5)(5+8)

Area of the cylindrical box = 2 * 3.14 * 5 * 13

Area of the cylindrical box  = 408.2sq inches

A shoemaker claims his best product has an average lifespan of exactly 14 years. A skeptical customer asks for evidence (data) that might be used to evaluate this claim. The customer was provided data collected from a random sample of 45 people who used the product. Using the data, an average product lifespan of 15 years and a standard deviation of 6 years was calculated. Select the 95%, confidence interval for the true mean lifespan of this product.

Answers

Answer:

The 95%, confidence interval for the true mean lifespan of this product is between 13.2 and 16.8 years.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0154

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0154\frac{6}{\sqrt{45}} = 1.8[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15 - 1.8 = 13.2 years

The upper end of the interval is the sample mean added to M. So it is 15 + 1.8 = 16.8 years.

The 95%, confidence interval for the true mean lifespan of this product is between 13.2 and 16.8 years.

Is this linear, exponential growth, exponential decay, or neither?​

Answers

Answer:

exponential decay

Step-by-step explanation:

the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..

PLEASE HELP
The Miller family spent a total of $317.05 hosting a party for their grandparents' 50th wedding anniversary. They spent $48.55 on decorations and $8.95 per person on food.

Which equation could be used to find the number of people (x) at the anniversary party?

A.
48.55 + 8.95x = 317.05
B.
48.55x + 8.95 = 317.05
C.
48.55x − 8.95 = 317.05
D.
48.55 − 8.95x = 317.05

Answers

the answer is A.
the decorations were a total of 48.55 , and we know that per person the cost is 8.95 , but since we don’t know how many people went , your variable would be attached there

F178 * 34 = 6052, then 60.52 = 17.8 is equal to​

Answers

Answer:

sin ( 330 ) − 4 cot( − 45 ) csc ( 60 )

Step-by-step explanation:

The Lane School sold 1,152 granola bars to raise money for digital cameras. All the granola bars were either berry bars or raisin bars. They sold 528 berry bars, and the rest were raisin bars. The granola bars came in boxes of 24 bars. How many boxes of raisin bars did they sell?​

Answers

Answer:

26 boxes of raisin bars

Step-by-step explanation:

Take the total bars sold 1152 then subtract the berry bars 528 and you'll get 624. Next you'll divide the 624 by 24 because that's how many that's in a full box. Finally you'll get your answer of 26 boxes.

1152-528=624 ➗ 24 = 26

is 0.70 equal to 7/10

Answers

yes the fraction of .70 is 7/10

Answer:

Yes

Step-by-step explanation:

0.70 = 7/10

f(x) = 6X-8
g(x) = -3x+2
Find 3f(x)+2g(x).
What is this answer

Answers

Answer:

12x-20

Step-by-step explanation:

f(x)=6x-8

3f(x)=3(6x-8)

3f(x)=18x-24

g(x)=-3x+2

2g(x)= -6x+4

3f(x)+3g(x)=(18x-24)+(-6x+4)

=18x-24-6x+4

=12x-20

Solve and check each equation below . show all work . 24=g+14. f-9=12​

Answers

Answer:

g = 10

f = 21

Step-by-step explanation:

Given equations:

24 = g + 14

f - 9 = 12​

24 = g + 14

Subtract 14 from both sides

24 - 14 = g + 14 - 14

10 = g

g = 10

Check:

24 = g + 14

24 = 10 + 14

24 = 24

f - 9 = 12​

Add 9 to both sides

f - 9 + 9 = 12​ + 9

f = 21

Check:

f - 9 = 12​

21 - 9 = 12

Convert 65 degress celsius to degress farenheit.
If necessary, round your answer to the nearest tenth of a degree

Here are the formulas :

C=5/9 ( f-32)

F= 9/5 C+32

Answers

Answer: 150 degrees

Step-by-step explanation:

Answer:

149°F

Step-by-step explanation:

The Celsius measure is 65° . We know the relation between Celsius and Farenheight as ,

⇒ C/5 = F-32/89

⇒ 65/5 = F-32/9

⇒ 13 = F-32 / 9

⇒ F - 32 = 13 × 9

⇒ F = 117 + 32

F = 149 °F

Hence the Faeenheight measure is 149°F .

Which letter is the correct answer and why

Answers

Answer:

Option C

Step-by-step explanation:

Here,

[Taking 'A' = 'a']

[tex]a \: = \: 4\pi {r}^{2} [/tex]

Then for 'r',

[tex] = > 4\pi {r}^{2} = a[/tex]

[tex] = > {r}^{2} = \frac{a}{4\pi} [/tex]

[tex] = > r = \sqrt{\frac{a}{4\pi} }[/tex]

[tex] = > r = \frac{1}{2}\sqrt{ \frac{a}{\pi} } [/tex]

Hence,

Option C is correct .

A 3 ounces b 4 ounces c 12 ounces or D 15 ounces helps plsss

Answers

Answer:

D 15

Step-by-step explanation:

[tex]\frac{5}{20}[/tex]=[tex]\frac{x}{60}[/tex]

Question 20 (5 points)
All of the pairs of corresponding angles and sides in ACATand ADOG are congruent.
Based on this information, which of the following is a true statement?
A) A DOG has half the area of ACAT.
B) ACATis congruent to ADOG.
C) ADOG has been dilated to form ACAT.
D) There isn't enough information to make a statement about ADOG and ACAT.

Answers

9514 1404 393

Answer:

  B) ΔCAT is congruent to ΔDOG

Step-by-step explanation:

If angles are congruent, the triangles are similar. When both corresponding angles and corresponding sides are congruent, the triangles are congruent.

  ΔCAT is congruent to ΔDOG

find the measure of arc URT

Answers

Hello!

This question is about relating vertical angles and their arc lengths.

Vertical angles have equal angle measures, meaning that they will also have the same arc measure.

We know that arc QR and arc UT have equal angle measures because they are formed with vertical angles.

That means since we know the measure of the other two arcs, which will both be 125 since they are formed with vertical angles, we can solve for the two unknown arc lengths.

A circle is 360 degrees, meaning that we can make the following equation,

[tex]360=QR+UT+125+125[/tex]

[tex]QR+UT+250=360[/tex]

[tex]QR+UT=110[/tex]

Since QR = UT

[tex]QR/UT=55[/tex]

Now, we can solve for arc URT using all the arc measures we have.

[tex]URT=125+55+125[/tex]

[tex]URT=305[/tex]

Hope this helps!

Given the length of segment EB is 12 meters. Find the length of arc EA. Round your answer to the nearest tenth.

Answers

Answer:14.9

Step-by-step explanation:

my calc 3 friend told me


Pls help me with this

Answers

Ur answer would be D! Hope that helps


choosing an ice cream cone from waffle, plain,
or sugar and a flavor of ice cream from
chocolate, vanilla, or strawberry

Answers

Answer:

vanilla,cone

Step-by-step explanation:

Describe the relationship between the area of a circle and its circumstances

Answers

Answer:

[tex]A = \frac{r}{2}C[/tex]

Step-by-step explanation:

Given

Shape: Circle

Required

The area and the circumference (relationship)

This implies that, we write an expression that relates the area and the circumference.

Circumference is calculated as:

[tex]C = 2\pi r[/tex]

Area is calculated as:

[tex]A = \pi r^2[/tex]

The area can be rewritten as:

[tex]A = \frac{2\pi r^2}{2}[/tex]

Further rewrite as:

[tex]A = \frac{r}{2}*2\pi r[/tex]

Recall that:[tex]C = 2\pi r[/tex]

So, the expression becomes

[tex]A = \frac{r}{2}*C[/tex]

[tex]A = \frac{r}{2}C[/tex]

Find 3 consecutive even integers such that 5 times the second is 82 more than the first .

Answers

Not 100% sure on this one.
Ti best of my understanding the answers are: 1st integers is 18, 2nd is 20, and 3rd is 22.
x is 1st integer
x+2 is 2nd integer
x+4 is 3rd integer
All even
5(x+2)=82+x
5x+10=82+x
5x-x=82-10
4x=72
x=18
1st is x=18
2nd is x+2=18+2=20
3rd is x+4=18+4=22
Good luck.

roy is 30 miles from dallas ready to leave for pecos

Answers

Answer:

It represents the 270 miles that Roy and Travis must travel in 4 hours in order to meet somewhere along the highway.

Step-by-step explanation:

From the information given, the point of interception (4, 270) represent the number of distance, 270 miles, that both Roy and Travis must travel in 4 hours in order to meet along the highway where Roy will give Travis the key to a treasure chest to Roy.

The point intersection (4, 270) represents the time and distance Roy and Travis met

The graph above are linear graph.

Linear graph

Linear graph are straight line graph.

Therefore,

d represents a distance in miles from Dallas

h represents the hours travelled

Roy is leaving for Pecos while Travis is in Pecos ready to leave for Dallas.

Therefore, the point intersection (4, 270) represents the time and distance Roy and Travis met.

learn more on linear graph here:https://brainly.com/question/1328896

Emily bought 48 yards of fabric to make curtains. What is that length in inches?

Answers

Answer:1 yard = 36 inches

48 X 36 = 1728 inches

1,728 inches since 48 x 36 = 1728

Can someone please help me I will mark u brilliant

Answers

Answer:

I believe the answer is 1/12

Step-by-step explanation:

the volume of a rectangular prism is length × width × height

Answer:

[tex] \frac{1}{12} \: cubic \: foot[/tex]

Step-by-step explanation:

[tex]V_{box} = lbh \\ = 1 \frac{1}{2} \times \frac{1}{6} \times \frac{1}{3} \\ \\ = \frac{ \cancel3}{2} \times \frac{1}{6} \times \frac{1}{ \cancel3} \\ \\ = \frac{1}{12} \: cubic \: foot[/tex]

Peter was given 40 words to spell to qualify for a prize. He must spell at least 90% of those words correctly. At least how many words should he have to spell correctly to get the prize?

Answers

Answer:

He should have to spell at least 36 of these words correctly.

Step-by-step explanation:

40 words.

He must spell at least 90% of those words correctly.

At least how many words should he have to spell correctly to get the prize?

90% of 40. So

0.9*40 = 4*9 = 36

He should have to spell at least 36 of these words correctly.

Kaylee is decorating a ballroom ceiling with garland. If the rectangular ceiling is 20 meters by 48 meters, how much garland will Kaylee need to reach from one corner of the ceiling to the opposite corner?​

Answers

Answer:

960

Step-by-step explanation:

Many professional sports are arguing that they need a new stadium to be competitive, as newer stadiums can bring in more fan revenue which can in turn allow teams to buy more expensive players. Some major league baseball teams have built new stadiums in the past decade. Consider the attendance (in millions) in the last year of the old stadium and the first year of the new stadium. Using a sample of 5 randomly selected teams, researchers would like to determine if there is any evidence that attendance levels differ between using old vs new stadiums. The data for these five teams are shown below:

Team Attendance (in millions)
Old Stadium New Stadium
Cincinnati Reds 1.9 2.4
New York Yankees 4.3 3.7
Philadelphia Phillies 2.3 3.3
Seattle Mariners 2.7 2.9
Washington Nationals 1.9 2.3

Required:
a. Calculate the test statistic appropriate to the correct statistical method.
b. Suppose all assumptions were satisfied for valid inference, and the researcher found a statistically significant lower average attendance in the new stadium compared to the old stadium. (This does not mean that this data support this conclusion - this is just hypothetical.) Does this mean that the new stadium caused attendance to decrease? Why or why not?

Answers

Answer:

Test statistic = 1.1508

Step-by-step explanation:

Given the data provided

We have to make a table and find d and d²

From the calculations I did in the attachment

n = 5

d² = 1.81

d = 1.5

The t test statistic = 1.5/1.3038 = 1.1505

B. No the new stadium may not have caused the attendance t decrease in this case. Other factors could be responsible for the low attendance.

Lukas is trying to lose weight. He starts the year
weighing 254 pounds. If he plans to burn enough
calories to lose 2 pounds per week, which
equation can be used to find w, the number of
weeks that will pass before Lukas weights 228
pounds?
For BRAINLIST!!

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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