A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. Find the following probability. (Enter your probability as a fraction.)
The number on the upward face is not 4.

Answers

Answer 1

Answer:

11/12

Step-by-step explanation:

::::::::::::::::

Answer 2

The probability of the number on the upward face is not 4 would be 11/12 or 0.92 by calculating as follows:

Solution:

The possible outcomes for rolling a dodecahedral die, numbered from 1 to 12, once is given below in the term of sample space S:

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Therefore,

n(S) = 12

Event A: Sample space in the case of not having number 4 on the upward face:

A = {1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12}

therefore,

n(A) = 11

the probability of an event can be calculated by:

the required probability = [tex]\dfrac{\text{Number of times event A, occurred}}{\text{Number of times this experiment performed}}[/tex]

then putting the space values here;

 = [tex]\frac{n(A)}{n(S)}=\frac{11}{12}=0.92[/tex]

Thus, the required probability is 0.92

Learn more about the probability of an event:

https://brainly.com/question/24028840

A Dodecahedral Die (one With 12 Sides Numbered From 1 To 12) Is Tossed Once. Find The Following Probability.

Related Questions

What type of correlation is shown in the graph?

Answers

Answer:

no correlation

Step-by-step explanation:

it shows no trend or a line thing

also i think your pic is upside down haha

Select all that are equal to 3. log28 log416 log327 log101,000

Answers

Answers on edg. are:

log2 8

log3 27

log10 1,000

Step-by-step explanation:

Yo just trust me ight

8. A box is filled with candies in different colors. We have 40 white candies, 24 green ones, 12
red ones, 24 yellow ones and 20 blue ones. If we have selected one candy from the box
without peeking into it, find the probability of getting a green or red candy.

Answers

Answer:

[tex]P(Green\ or\ Red) = 0.30[/tex]

Step-by-step explanation:

Given

[tex]White = 40[/tex]

[tex]Green = 24[/tex]

[tex]Red = 12[/tex]

[tex]Yellow = 24[/tex]

[tex]Blue = 20[/tex]

Required

[tex]P(Green\ or\ Red)[/tex]

The total numbe of candy is:

[tex]Total = 40 + 24 + 12 + 24 + 20[/tex]

[tex]Total = 120[/tex]

This probability is calculated as:

[tex]P(Green\ or\ Red) = P(Green) + P(Red)[/tex]

For each, we have:

[tex]P(Green\ or\ Red) = \frac{Green}{Total} + \frac{Red}{Total}[/tex]

Take LCM

[tex]P(Green\ or\ Red) = \frac{Green+Red}{Total}[/tex]

[tex]P(Green\ or\ Red) = \frac{24+12}{120}[/tex]

[tex]P(Green\ or\ Red) = \frac{36}{120}[/tex]

[tex]P(Green\ or\ Red) = 0.30[/tex]

What linear expression would you add to -4y+2 to have a sum of y

Answers

Answer:

4

Step-by-step explanation:

It has been reported that 8.7% of U.S. households do not own a vehicle, with 33.1% owning 1 vehicle, 38.1% owning 2 vehicles, and 20.1% owning 3 or more vehicles. The data for a random sample of 100 households in a resort community are summarized in the frequency distribution below. At the 0.05 level of significance, can we reject the possibility that the vehicle-ownership distribution in this community differs from that of the nation as a whole?
Number of Vehicles Owned Number of Households 0 20 1 35 2 23 3 or more 22 =100

Answers

Answer:

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

Step-by-step explanation:

Given the data in the question;

Number of vehicle owned                 Number of households

0                                                             20

1                                                              35

2                                                             23

3 or more                                               22

Total ( n )                                               100

so

Null hypothesis           H₀ : In this community, vehicle ownership distribution is like that of all U.S household

Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household

Also given that, ∝ = 0.05

Now, we compute the test statistics;

x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]

where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.

so we make our table for chi square test statistics

No. of                 O[tex]_i[/tex]            P                E[tex]_i[/tex]            (O[tex]_i[/tex] - E[tex]_i[/tex])²             (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]

Vehicle                                              (n×P)

owned

0                        20         0.087          8.7            127.69                 14.677

1                         35         0.331           33.1            3.61                     0.109

2                        23         0.381           38.1           228.01                 5.985

3 or more          22         0.201          20.1           3.61                      0.180

Total                  100                           100                                        20.951

hence, x² = 20.951

Now, degree of freedom df = k - 1 = 4 - 1 = 3

From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05

[tex]x_{0.05, 3[/tex] = 7.815

Decision Rule

Reject H₀ if x² is greater than xₐ².

Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )

Therefore, we reject H₀ at 0.05 level of significance.

Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household

What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.

Answers

Answer: [tex]\dfrac{1}{52}[/tex]

Step-by-step explanation:

Given

We need to choose 6 of clubs that's also a red

A deck contains 13 cards of clubs, and 6 of clubs is the only red card i.e. favorable outcome is 1 out of 52 cards

Probability is the ratio of favorable to the total outcomes

[tex]\Rightarrow P=\dfrac{1}{52}[/tex]

Mark and eight of his friends went out to
eat. They decided to split the bill evenly.
Each person paid $9. What was the total
bill?

Answers

If mark and 8 of his friends went out the total of people is 9, so if you think about it 9x9=81 so the total cost of the bill was $81
72 EXPLANTION 9+9+9+9+9+9+9+9+9=72

write the first five terms of the sequence an=3n^2

Answers

Answer:

2,1,0 is the sequence of its terms

A sociologist wants to construct an 80 confidence interval for the proportion of children aged - living in New York who own a cell phone. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) A survey by the National Consumers League taken in estimated the nationwide proportion to be . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of

Answers

This question is incomplete, the complete question is;

A sociologist wants to construct an 80 confidence interval for the proportion of children aged 8-10 living in New York who own a cell phone.

(a) A survey by the National Consumers League taken in 2012 estimated the nationwide proportion to be 036. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?

Answer:

the required or needed sample size is 946

Step-by-step explanation:

Given the data in the question;

confidence level = 80%

⇒ 100( 1 - ∝ )% = 80%

100 - 100∝ = 80

100∝ = 100 - 80

∝ = 20/100

level of significance ∝ = 0.2

[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.10[/tex] = 1.2816 { from z-table }

p = 0.36

Allowable margin of error E = 0.02

let n be the required sample size.

we know that

E = √( p( 1 - p) / n )

given that margin of error E = 0.02

⇒ √( p( 1 - p) / n ) × [tex]Z_{\alpha /2[/tex] = 0.02

⇒ √( 0.36( 1 - 0.36) / n ) × 1.2816  = 0.02

⇒ √( 0.2304 / n ) × 1.2816 = 0.02

√( 0.2304 / n ) = 0.02 / 1.2816

√( 0.2304 / n ) = 0.01560549

( 0.2304 / n ) = ( 0.01560549)²  

0.2304 / n  = 0.000243531318

n = 0.2304 / 0.000243531318

n = 946

Therefore, the required or needed sample size is 946

Divide £42 in the ratio 4:3

Answers

Answer:

Should be 24:18

Step-by-step explanation:

E


PLEASE HELP PLEASE

A girls' choir is choosing a uniform for their concert. They can pick red, green or
purple sweaters, and they can pick tan, white or black skirts. The shoes they need
come in gold and black. Assuming all combinations are acceptable, how many
different combinations can the choir pick?

Answers

Answer:

18

Step-by-step explanation:

Answer:   18 different outfit combinations

=============================================================

Explanation:

There are 3 colors to pick for the sweaters (red, green, purple).There are 3 colors for the skirts (tan, white, black)There are 2 colors for the shoes (gold, black)

Multiply out those values mentioned to get the final answer: 3*3*2 = 9*2 = 18.

There are 18 different outfit combos.

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

Further explanation (optional section):

Let's say we only worried about the sweaters and shoes, and for now there's only one color for the skirt. We have 3 colors for the sweaters and 2 for the shoes. Imagine a table with 3 rows and 2 columns. Each row is a different color for the sweater and each column is a different color for the shoe. There are 3*2 = 6 cells inside the table. Each cell is a different outfit.

For instance, we could have R = red sweater and G = gold shoe. Then that means RG = red sweater + gold shoe outfit. So we'd have RG as one of the cells of this 6 cell table.

Now imagine that we laid out a table that is 6 by 3. The 6 is from the 6 outfits calculated earlier, and the 3 is now accounting for the colors of the skirts. We'd then have 6*3 = 18 combos total. Again, each cell inside the table represents a different outfit combo.

What is the range of y = 7x^2 + 14x – 9?

Answers

Answer:

-1,-16

Step-by-step explanation:

y=ax^2+box+c

SOMEONE HELP ME WITH THISS

Answers

Answer:

/_ 12 is the angle of depression from the firefighter to the second story window.

Step-by-step explanation:

Hope it helps!

#CarryOnLearning

Answer:

2nd option is the correct answer

Step-by-step explanation:

[tex] \angle 12[/tex] is the angle of depression from the second story window to the firefighter.

Which function represents a quantity growing exponentially?


A y = 2(0.5)

В y = 0.5(2)

C y = 2(0.5)2X

D y = 6)​

Answers

Answer: c

Step-by-step explanation:

Simplify (6x2 - 4x + 7) - (8x2 - 2x + 5) =

Answers

-2(x^2+X-1)

This is correct

Answer:

       

−2x 2−2+2

Step-by-step explanation:

You sold 500 shares of Intel for $26.75 per share. Your broker charges you a
commission of $2.75 per thousand dollars of stock bought or sold. How much
money will be credited to your account when you sell? (Remember, commissions
are subtracted out of your transaction.)

Answers

Answer: $13339.25

Step-by-step explanation:

Since 500 shares of Intel were sold for $26.75 per share, the total amount will be:

= 500 × $26.75

= $13375

Since the broker charges a

commission of $2.75 per thousand dollars of stock bought or sold, the amount charged by the broker on $13375 will be:

= $2.75 × 13

= $35.75

The amount that'll then be credited into ones account will be:

= $13375 - $35.75

= $13339.25

What is the area of parallelogram ABCD?13 square units14 square units15 square units16 square units

Answers

Answer:

13

Step-by-step explanation:

the equation for parrlelograms is base times hieght. the base is about 3 and the hieght is 4 and 1/3 (ish) so 3*4.3 would give the answer of 13 square units. I hope this helps?

construct a rectangle (a and b of known length, d diagonal)

Answers

Just send it duude im down 34-895

I am voting in a state election. There are seven candidates for governor, four candidates for lieutenant governor, three candidates for the state house of representatives, and four candidates for the senate. In how many different ways can I fill out a ballot if I vote once for each office?

Answers

There are 20 different way to ballot vote which is the answer to a problem of sorts

Answer:

4

Step-by-step explanation:

CHOOSE 1 GOVERNOR

CHOOSE 1 LIEUTENANT GOVERNOR

CHOOSE 1 STATE HOUSE REP'.

CHOOSE 1 SENATOR

     =4 DIFFERENTNT WAYS.

Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?

5

29

4

6​

Answers

Answer:

Quantity = 5 grapes

Step-by-step explanation:

Given the following data;

Quantity of grapes = 20

Cost = 48

To find the cost of each grape;

Cost of each grape = total cost/quantity

Cost of each grape = 48/20

Cost of each grape = $2.4

Now, to find how many grapes $12 can buy;

Quantity = total cost/cost of each grapes

Quantity = 12/2.4

Quantity = 5 grapes

Therefore, $12 can buy 5 grapes.

Ile czystego alkoholu znajduje się we krwii​

Answers

Answer:

100 ml

Step-by-step explanation:

Mary works as a gardener. on her last job she charged $60 for plants and $500 for 20 hoursof work. The equations represent the total price y, charged by different gardeners after x hours of work.

Answers

Answer:

28 hours  

Step-by-step explanation:

I need help with this if you get it right I will mark you

Answers

9514 1404 393

Answer:

  D  9/DF = 18/16

Step-by-step explanation:

Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.

For these isosceles triangles, the similarity statement could be written either of two ways:

  ΔDEF ~ ΔABC  or  ΔDEF ~ ΔCBA

Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...

  DF and AC (short sides)

  DE and AB (long sides)

  EF and BC (long sides)

For each (short side, long side) pair, we can write the proportion 4 ways:

DF/DE = AC/AB  ⇒  DF/9 = 16/18DF/AC = DE/AB  ⇒  DF/16 = 9/18DE/DF = AB/AC  ⇒  9/DF = 18/16 . . . . . matches choice DAC/DF = AB/DE  ⇒  16/DF = 18/9

Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.

find the value of x. geometry!

Answers

Answer:

x= 130°

Step-by-step explanation:

In 2001, gas cost $1.85 per gallon. In 2008, the price was
220% higher than in 2001.
What was the cost of gas per gallon in 2008?

Answers

1.85 * 220% = $4.07.

HELPPPPP WILLLLL AMRK BRAINLIESTTTTTT

Answers

I think it’s c but I’m sorry if it wrong

what’s the slope ? please help , due in 20 min.

Answers

Answer:

-7/3

Step-by-step explanation:

You take two ( X,Y) points and subtract them to find the slope of the line.

23-16/-6-(-3) = -7/3

Select all the expressions that are equivalent to –25(15 – 20d + 5c)

Answers

Answer:

-375+500d-125c

-125c+500d-375

Help with number 10! Step by step please!

Answers

9514 1404 393

Answer:

  x = -9 (as you know)

Step-by-step explanation:

  [tex]\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}[/tex]

_____

I find it helpful to remember that a logarithm is an exponent.

  [tex]\log_a(a^b)=b[/tex]

Yumiko Yoshida wants to pay his $1,058.90 annual premium monthly. What is his monthly payment?

Answers

1058.90 divided by 12
answer is $88.2
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