Every day a kindergarten class chooses randomly one of the 50 state flags to hang on the wall, without regard to previous choices. We are interested in the flags that are chosen on Monday, Tuesday and Wednesday of next week. 30 Experiments with random outcomes (a) Describe a sample space ± and a probability measure P to model this experiment. (b) What is the probability that the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday? (c) What is the probability that Wisconsin’s flag will be hung at least two of the three days?

Answers

Answer 1

Answer:

a)   [tex]S=50[/tex]

    [tex]P(X)=0.02[/tex]

b)  [tex]P(W,M,C)=8*10^-^6[/tex]

c)  [tex]P(W_2_3)=1.18*10^-^3[/tex]

Step-by-step explanation:

From the question we are told that

Sample space S=50

Sample size n=30

a)Generally the sample space S is

[tex]S=50[/tex]

The probability measure is given as

[tex]P(X)=\frac{1}{50}[/tex]

[tex]P(X)=0.02[/tex]

b)

Generally the probability that  the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday is mathematically given as

Probability of each one being hanged is

[tex]P(X)=\frac{1}{50}[/tex]

Therefore

[tex]P(W,M,C)=\frac{1}{50} *\frac{1}{50}* \frac{1}{50}[/tex]

[tex]P(W,M,C)=\frac{1}{125000}[/tex]

[tex]P(W,M,C)=8*10^-^6[/tex]

c)Generally the probability that Wisconsin’s flag will be hung at least two of the three days is mathematically given as

Probability of two days hung +Probability of three days hung

Therefore

[tex]P(W_2_3)=^3C_2 (1/50) * (1/50) * (49/50) +^3C_3 (1/50) * (1/50) *(1/50)[/tex]

[tex]P(W_2_3)=148 / 125000[/tex]

[tex]P(W_2_3)=1.18*10^-^3[/tex]


Related Questions

In the equation y = 2x + 5, what values represent the m (slope) and the b (y-intercept)?

Answers

Answer:

m(slope)=2

b(y-intercept)=5

Step-by-step explanation:

Answer:

2x represents the slope and 5 represents the y intercept.

PART A
3 less than half a number is 10
Write an expression to represent this situation.

Answers

Answer:

n/2 - 3 = 10 represents this situation

Step-by-step explanation:

Let the number be n.  Then:

n/2 - 3 = 10 represents this situation.

Answer:1/2x-3=10

Step-by-step explanation:


Factorise fullyc^3+ c^2​

Answers

Answer:

c^2( c+1)

Step-by-step explanation:

c^3+ c^2​

The greatest common factor is c^2

c^2( c+1)

Solve the inequality

Answers

Answer: Hi there, the answer should be the third option v < -8.

Answer: I believe the answer is
C. V < - 8, or v > 0

Hope this helps! ^^

A camera store offers a discount of 5% off the cost of photo paper. The discount is applied before tax. A customer buys photo paper that costs $13.50 before tax. Which amount is closest to the cost of the paper with the discount before tax?​

Answers

Answer:

the amount that nearest to the paper cost with the discount but before tax is $12.83

Step-by-step explanation:

The computation of the amount that nearest to the paper cost with the discount but before tax is shown below:

= Cost of a photo paper - discount

= $13.50  - 5% of $13.50

= $13.50 - $0.675

= $12.83

Hence, the amount that nearest to the paper cost with the discount but before tax is $12.83

order these number (smallest to largest)


35.6 0.356 35.63 3.65 356.06 356.6

Answers

Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6

Step-by-step explanation:


Tania Ramirez purchases 25 hanging file folders for $6.99. What is the price
per folder?

Answers

25/6.99 (25 Folders) ($6.99) = $3.58 per folder

Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de boletos de estudiante vendidos fue dos veces el número de boletos de adulto vendidos . ¿Cuántos boletos de adulto

Answers

Answer: x boletos de adulto

2x boletos de estudiante

x+2x=288

3x=288

x=288/3

x=96

adulto =96

estudiante 2*96=192

96+192=288

Step-by-step explanation: 96 y 192

A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55

Answers

Answer:

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 40

Given that standard deviation of the Population = 15

Let 'x' be the random variable in normal distribution

Let 'X' = 25

[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]

Let 'X' = 55

[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]

Step(ii):-

The probability that between 25 and 55

P( 25 ≤ X≤ 55) = P( -1≤z≤1)

                       = A(1) - A(-1)

                      = A(1) + A(1)

                     = 2 × A(1)

                    = 2× 0.3413

                   = 0.6826

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Final answer:-

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

On a scale drawing, a school is 1.6 feet tall. the scale factor is 1/22. Find the height of the school

Answers

Answer:

35.2 ft

Step-by-step explanation:

Multiply the scale factor and the height.

35.2
You need to multiplying the scale factor and the height

is -5 greater than -8 ​

Answers

Answer:

yes

Step-by-step explanation:

negative numbers work backwards, in this case 8 is smaller then 5 as its farther in the numberline (if you were to draw one)

Answer:

Yes

Step-by-step explanation:

-5 is greater than -8 because -5 is closer to zero. You need to add 5 to get to 0 with -5, but 8 to get to 0 with -8.

4. Use the table of values for a quadratic function to identify the following.
X
direction the graph opens:
-3
axis of symmetry:
vertex:
ON W
range:
y-intercept:
(as an ordered pair)
-3
-4
1
-3
x-intercepts:
(as ordered pairs)
2
3
4
interval of increase:
interval of decrease:

Answers

5 if you don’t know just go to khan academy they help you with every thin

(03.01) Which of the following is a factor of x2 − 6x − 27? (1 point) Select one: a. x + 3 b. x + 9 c. x − 1 d. None of the above

Answers

Answer:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\pink{\bigstar}[/tex] The factor of given expression is [tex]\large\leadsto\boxed{\tt\purple{Option.a \rightarrow (x+3)}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Given:-

- 6x - 27

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Splitting the middle term:-

➪ x² - 9x + 3x - 27

➪ x(x - 9) + 3(x - 9)

(x -9) (x +3)

Therefore, the factors of the given expression are (x - 9) and (x +3).

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence, Option A. i.e (x + 3) is the correct choice.

Answer:

[tex] {x}^{2} - 6x - 27 \\ factorise \\ {x}^{2} - 9x + 3x - 27 \\ = take \: x \: from \: first \: two \: terms \\ and \: 3from \: last \: two \: terms \\ then \\ x(x - 9) + 3(x - 9) \\ here(x - 9)is \: commen \\ so(x - 9)(x + 3) \\ (1)is \: ur \: answer \: it \: is \: x + 3 \\ thank \: you[/tex]

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant

Answers

Answer:

Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below

answer :

y-intercept = 25.9047

 slope = 2.8420

Step-by-step explanation:

Determine the slope for the regression equation and y intercept

The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )

y = 25.9047 + 2.8420x

from the equation gotten above

y-intercept = 25.9047

slope = 2.8420

Which expression means the same as "25 less that 5y"

Answers

Answer:5y-25

Step-by-step explanation:

Answer:

5y - 25

Step-by-step explanation:

that expression shown 25 less than 5y

hope this helps...

>:)))))))))
i use u guys to get though exam

Answers

Answer:

B) 3/8

Step-by-step explanation:

Proportion/ Ratio:

3 pounds to 8 flower beds

3 : 8

3 / 8

9x^2+25 Can someone doble this

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=3x and b=5.

(3x+5)(3x−5)

Step-by-step explanation:

please help meeeeeeeeeeesssssssssssss

Answers

Answer:

384 cm^3

Step-by-step explanation:

(16 times 4) times 6 = 384   :D

write a function to match the function machine
Multiply the input by -3, then
subtract 2

Answers

Answer:

The required function is:

f(x) = 3x - 2

Please check the attached graph.

Step-by-step explanation:

We need to write a function to match the function machine  multiply the input by -3, then  subtract 2.

Let 'x' be the input.

Multiply the input by 3 is: 3xSubtract 2: 3x - 2

Therefore, multiply the input by -3, then  subtracting 2 would give us the result:

f(x) = 3x - 2

Therefore, the required function is:

f(x) = 3x - 2

Please check the attached graph.

(-4 + 3i)(-12 + 6i)
Simplify expression

Answers

Answer:

=30−60i

Step-by-step explanation:

30-60i is the answer I put it through Photomath it’s right

21+15a distributive property equavilent expression

Answers

36 because if you add 21 + 15 you get 36. How by adding it all together. I hope this helped you bye

A magazine publisher is informed that 72% of subscribers last year did not renew their subscriptions. This publisher wants to randomly survey 8% of these past subscribers asking the reason why they did not renew their subscriptions. All of last year's subscribers who did not renew their subscriptions are known collectively as what

Answers

Answer:

Sampling frame

Explanation:

A sampling frame is the source where the researcher draws his samples from. In other words, a sampling frame is like the population where the researcher gets samples for his investigation. In the above example, we are told the researcher wants to know why the 72% that subscribed last year didn't subscribe this year. He draws a sample of 8% from the 72% that he is trying to study, therefore the 72% are the sampling frame from where he gets his sample.

Xavier opened a savings account with a deposit of $12,000.

The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?


0.9%

1.8%

2.7%

3.6%

Answers

Answer:

the answer is 236.25

Step-by-step explanation:

The interest rate on annual basis on the given account should be considered as 0.9%.

Calculation of the annual interest rate:

Here the interest amount be

= Future value - principal

= $12,324 - $12,000

= $324

Now the interest rate be like

Interest = Principal * rate * time period

$324 = $12,000 * rate * 3/ 100

So, the rate be 0.9%.

Hence, The interest rate on annual basis on the given account should be considered as 0.9%.

Learn more about interest rate here: https://brainly.com/question/14191952

HELP PLEASE ASAP!!!!!!!

Answers

Third one
No because it has a constant rate of change

Which of these is the smallest number: A.0.452
B. 45%
C. 0.045

Answers

Answer:

C. 0.045

Step-by-step explanation:

Find the equation of the line parallel to the line g(x) = -0.01x + 2.01 through the point (1, 2).

Answers

Answer:

Baka renejay to HAHAHHA

Please help me on this question 30 points on the line ​

Answers

Answer:

4(x-3) = 8

Step-by-step explanation:

4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.

Answer:

4(x-3) = 8

Step-by-step explanation:

Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?​

Answers

Answer:

6:4:9 Yw❤️

Step-by-step explanation:

write 134 in decimals​

Answers

Answer:

1.34

Step-by-step explanation:

Jerry is buying hot dogs and hamburgers for his barbeque. Hot dogs cost $9 per pack, while hamburgers cost $6 per pack with taxes

included. Jerry can spend a maximum of $100 on the food.

Using x and y for the number of packs of hot dogs and hamburgers, respectively, what is an inequality that represents this situation?

Answers

Answer: 9x+6y ≤10  

Step-by-step explanation:

Let x= number of packs of hot dogs .

y =number of packs of hamburger.

Total expenditure = (Charge per hot dog) (number of packs of hot dogs ) +(Charge per hamburger) (number of packs of hamburger.)

i.e. Total expenditure =9x+6y  ( in $)

Jerry can spend a maximum of $100 on the food.

So, Total expenditure ≤ $100

i.e. 9x+6y ≤10  [Required inequality]

The inequality that represents this situation:9x+6y ≤10  

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