There are 11 students on a committee. To decide which 4 of these students will attend a conference, 4 names are chosen at random by pulling names one at a time from a hat. What is the probability that Sarah, Jamal, Kate, and Mai are chosen in any order

Answers

Answer 1

Answer:

0.003 = 0.3% probability that Sarah, Jamal, Kate, and Mai are chosen in any order.

Step-by-step explanation:

The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

11 students means that [tex]N = 11[/tex]

4 are Sarah, Jamal, Kate, and Mai, so [tex]k = 4[/tex]

4 are chosen, which means that [tex]n = 4[/tex]

What is the probability that Sarah, Jamal, Kate, and Mai are chosen in any order?

This is P(X = 4). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,11,4,4) = \frac{C_{4,4}*C_{7,0}}{C_{11,4}} = 0.003[/tex]

0.003 = 0.3% probability that Sarah, Jamal, Kate, and Mai are chosen in any order.


Related Questions

Logan has $1.95 in dimes and quarters in his pocket. He has 2 more dimes than quarters. (Keep in mind that dimes are worth 10c and quarters 25c.)

1. Write an equation that will help you determine the number of quarters.
2. Solve the equation showing all your steps.
3. Tell how many quarters and dimes he has.

Answers

Answer:

17 dimes 1 quarter

Step-by-step explanation:

logan has 1.95

step by step explanation:

a dime can not be more than 10 c

and less than 10c

a quarter can not be more than 25c

and less than 25 c

so logan must have 17 dimes and 1 quarter

key = 1 dime = 10c, 1 quarter = 25c

$1.70 + 25c = $1.95

hope this helps!!

PLZ ANSWER QUESTION IN PICTURE

Answers

Answer:-1

Step-by-step explanation:

The slope would be negative one due the fact that every horizontal box, the line also goes down one vertical box. You can also figure this out by using the slope equation which is slope=y2-y1/x2-x1. Just take the xy coordinates of two different points and plug it into the equation if you would like to use a formula.

Mr jones rolls a 6 sided cube mumbered 1,2,3,4,5,6, what is the probability he rolls a three.

Answers

Answer:1.5

Step-by-step explanation:

[tex]-3x^{2} -4y^{2} -z^{2}+6xy-6x+4z[/tex]

Answers

what are the directions??

The polynomial P is graphed.
5+
P
4+
3

-3
-2
-1
1
-2+
-3+
-4-
What is the remainder when P(x) is divided by (x + 2)?

Answers

Answer:

-4

Step-by-step explanation:

The remainder when P(x) is divided by (x + 2) is P(-2) which is - 4

The dotplot below displays the difference in scores for 18 games between a high school soccer team and its opponent.

A dotplot titled difference in Score. A number line going from negative 2 to 4 is labeled Team score minus opponent score. Negative 2, 1; negative 1, 2; 0, 2; 1, 3; 2, 6; 3, 3; 4, 1.

Which of the following is the best explanation for the dots at –1?

In one game, the team beat the opponent by 1 goal.
In two games, the team beat the opponent by 1 goal.
In one game, the team lost to the opponent by 1 goal.
In two games, the team lost to the opponent by 1 goal.

Answers

Answer: Choice D

In two games, the team lost to the opponent by 1 goal.

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

Explanation:

Negative scores indicate the team lost, and the absolute value of those values represent how much of a loss.

So a difference of -1 means the team lost by 1 point.

We have 2 dots over this value, so there are 2 occasions where the team lost  to the opponent by 1 goal.

An example would be that say the team scored 3 goals and the opponent scored 4 goals. So we have a differential of 3-4 = -1. The order is important because we would not say 4-3 = 1.

Answer:

d

Step-by-step explanation:

took the test

x(x+3)(x+3)=0 Plz I need this fast!

Answers

Answer:

x=0,-3

Step-by-step explanation:

x(x+3)(x+3)=0

Using the zero product property

x=0  x+3=0 x+3 =0

x=0  x=-3  x=-3

Scores on a national English test are Normally distributed, with a mean score of 510 and a standard deviation of 75. Sixty-eight percent of English tests were less than which score, rounded to the nearest whole number?


A) 475

B) 529

C) 545

D) 561

Answers

Answer:

Should be (C). Can't verify.

545

ED2021

SOMEONE PLS HELP!!!!
Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 3x + 1

A) This is a polynomial.


B) The base is x + 1.


C) The base is 3.


D) This is not an exponential function because the variable is in the exponent position.

Answers

Answer:

Step-by-step explanation:

Is the function f(x) = 3x+1, f(x) = 3ˣ⁺¹, or f(x) = 3ˣ+1 ?

f(x) = 3x+1 is not an exponential function. It is a straight line.

f(x) = 3ˣ⁺¹ Is an exponential function. The base is 3.

f(x) = 3ˣ+1 is an exponential function. The base is 3.

Define mean and median for a set of data

Answers

Answer:

The mean is the average number of a data set gotten by adding all the numbers then dividing by two.

the median is the middle number in a sorted set of data,either sorted in ascending order or descending order.

I hope this helps

To calculate mean:

• add up all the numbers,

• then divide by how many numbers there are.

Example:

Data: 5, 6, 10, 1

Add these all together, which is 22, then divide by 4 (because that is how many numbers there are), so:

the mean is 5.5

To calculate median:

Arrange your numbers in order.

Cross off numbers until you get to the middle.

If there is an even number of data, then find the two in the middle and find the middle of that.

Example:

Data: 5, 6, 10, 1

Arrange: 1, 5, 6, 10

So, the middle 2 are 5 and 6. In between these would be 5.5, so that is the median.

If the data was: 1, 5, 6, 8, 10,

then the median would be 6.

find the value of the trigonometric ratio. make sure to simplify the fraction if needed

Answers

Answer:

3/5

Step-by-step explanation:

sin=opp/hyp

sinc=24/40=3/5

what function represents exponential decay?

Answers

Answer:

There are two types of exponential functions: exponential growth and exponential decay. In the function f (x) = bx when b > 1, the function represents exponential growth. In the function f (x) = bx when 0 < b < 1, the function represents exponential decay.

Step-by-step explanation:

Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?


A)

DF = 39 cm; DE = 15 cm

B)

DF = 48 cm; DE = 52 cm

C)

DF = 65 cm; DE = 25 cm

D)

DF = 52 cm; DE = 48 cm

Answers

Answer:

D)

DF = 52

AB = 48

Step-by-step explanation:

Use the two lengths of sides already given.

Divide to find the scale factor:

20 / 5 = 4

Scale factor: 4

Now multiply to find the unknown sides:

13 × 4  = 52

12 × 4 = 48

DF = 52

AB = 48

Hope this helped.

Solve for x

X-8 = -10

A) X = 2
B) X = -2
C) X = 18
D) X = -18

Answers

Answer:

x=–2

Step-by-step explanation:

x-8=-10

x=-10-8

x=–2

Answer:

-8= -10

, = -10+8

, = -2

Which is the graph of the equation y- 1 =} (x 3)?
10
06
6 4
(9,5)
3.1)
1
-10-A-22
2 4 6 8 10 x
4
od
wo
10
6

Answers

slope: 2/3
y-intercept(0,-1)

Parallel lines: Solve for Y

Answers

Answer:

35

Step-by-step explanation:

Since they are the same angle in the corresponding parallel line, they will equal eachother.

2y = 70

----   ----

2      2

y   = 35

The answer will be 35.

Step-by-step explanation:

Well, we know that when we have parallel lines, by the alternating interior angle theorem, we know that alternate angles are congruent.

So, 2y = 70 makes y = 35.

For the following exercise, calculate the desired dose. Then calculate the amount to administer. Ordered: Pergolide mesylate 100 mcg PO tid On hand: Pergolide mesylate 0.05 mg tablets what is the Desired dose?​

Answers

Answer:

was assigned with this problem (the reference text is attached):

Which of the following, if included in a student's paper, would NOT be an example of plagiarism?

1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).

2. Baseball is rather surprisingly known as "America's Favorite Pastime."

3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).

4. All of these are plagiarism.

The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarismwas assigned with this problem (the reference text is attached):

Which of the following, if included in a student's paper, would NOT be an example of plagiarism?

1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).

2. Baseball is rather surprisingly known as "America's Favorite Pastime."

3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).

4. All of these are plagiarism.

The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarism

Step-by-step explanation:

was assigned with this problem (the reference text is attached):

Which of the following, if included in a student's paper, would NOT be an example of plagiarism?

1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).

2. Baseball is rather surprisingly known as "America's Favorite Pastime."

3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).

4. All of these are plagiarism.

The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarism

Kevin's supervisor, Jill, has asked for an update on today's sales, Jill is pretty busy moving back and forth between different store locations. How can Kevin most effectively deliver an update to her ? a) Call with a quick update Ob ) Send a detailed text message c ) Book a one-hour meeting for tomorrow morning d) Send a detailed email

Answers

The answer is A, calling is effective and you can know that the message is heard quickly and easily.

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 27 dollars and a standard deviation of 9 dollars.
A. What proportion of the bank's Visa cardholders pay more than 29 dollars in interest?
B. What proportion of the bank's Visa cardholders pay more than 35 dollars in interest?
C. What proportion of the bank's Visa cardholders pay less than 14 dollars in interest?
D. What interest payment is exceeded by only 18% of the bank's Visa cardholders?

Answers

Answer:

a. 0.4129 = 41.29% of the bank's Visa cardholders pay more than 29 dollars in interest.

b. 0.1867 = 18.67% of the bank's Visa cardholders pay more than 35 dollars in interest.

c. 0.0742 = 7.42% of the bank's Visa cardholders pay less than 14 dollars in interest.

d. An interest payment of $35.2 is exceeded by only 18% of the bank's Visa cardholders.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 27 dollars and a standard deviation of 9 dollars.

This means that [tex]\mu = 27, \sigma = 9[/tex]

A. What proportion of the bank's Visa cardholders pay more than 29 dollars in interest?

This is 1 subtracted by the p-value of Z when X = 29, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{29 - 27}{9}[/tex]

[tex]Z = 0.22[/tex]

[tex]Z = 0.22[/tex] has a p-value of 0.5871.

1 - 0.5871 = 0.4129

0.4129 = 41.29% of the bank's Visa cardholders pay more than 29 dollars in interest.

B. What proportion of the bank's Visa cardholders pay more than 35 dollars in interest?

This is 1 subtracted by the p-value of Z when X = 35, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{35 - 27}{9}[/tex]

[tex]Z = 0.89[/tex]

[tex]Z = 0.89[/tex] has a p-value of 0.8133.

1 - 0.8133 = 0.1867

0.1867 = 18.67% of the bank's Visa cardholders pay more than 35 dollars in interest.

C. What proportion of the bank's Visa cardholders pay less than 14 dollars in interest?

This is the p-value of Z when X = 14. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14 - 27}{9}[/tex]

[tex]Z = -1.445[/tex]

[tex]Z = -1.445[/tex] has a p-value of 0.0742.

0.0742 = 7.42% of the bank's Visa cardholders pay less than 14 dollars in interest.

D. What interest payment is exceeded by only 18% of the bank's Visa cardholders?

This is the 100 - 18 = 82nd percentile, which is X when Z has a p-value of 0.82, so X when Z = 0.915.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.915 = \frac{X - 27}{9}[/tex]

[tex]X - 27 = 0.915*9[/tex]

[tex]X = 35.2[/tex]

An interest payment of $35.2 is exceeded by only 18% of the bank's Visa cardholders.

Help ! Please and thanks

Answers

The correct answer is that 1 & 8 are alternate exterior angles
they are alterate exterior angles

I NEED HELP PLEASE!!

Answers

sine --> cosecant

csc(x) = 1/sin(x)

cosine --> secant

sec(x) = 1/cos(x)

tangent --> cotangent

cot(x) = 1/tan(x)

Correct Answer: A

Hope this helps!

Which equation is correct?
1
A. cos x =
sin a
1
B. tan x=
CSC 2
C. sec =
COS
1
D. cot 2 =
sec
SUBMIT


Answers

Yes it’s c) secx = 1/cosx
It’s a reciprocal identity

The requried secant function is the reciprocal of the cosine function, i.e., sec x = 1/cos x. Option C is correct.

What are trig ratios?

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The correct equation is option C: sec x = 1/cos x.

This is because the secant function is the reciprocal of the cosine function, i.e., sec x = 1/cos x.

Option A is incorrect because the cosine and sine functions are not reciprocals of each other. Option B is incorrect because the tangent function is the reciprocal of the cotangent function, not the cosecant function. Option D is incorrect because the cotangent function is the reciprocal of the tangent function, not the secant function.

Learn more about trig ratios here:

https://brainly.com/question/14977354

#SPJ7

½ sejam berapa minit?​

Answers

Answer:

1/2 jam 30 menit mungkin?

1/2 jam adalah 30 minit

1/2 × 60 = 30 mins

English translation

1/2 an hour is 30 minutes

1/2 × 60 = 30 mins

Answered by Gauthmath must click thanks and mark brainliest

PLEASE HELPPPP THIS IS DUE ASAP I WILL GIVE BRAINLIEST!!’n

Answers

Answer:

1/3

Step-by-step explanation:

i/3 chance

Answer:

3/10 or 30%

Step-by-step explanation:

Calculate the probability of pulling out a novel the first day and multiply it by the probability of pulling out a novel the second day.

The probability that you will pull out a novel the first day is 3/5 because probability is preffered outcomes/total outcomes. The second day it is 2/4 or 1/2, because you gave away the first book yesterday.

Now you multiply 3/5x1/2 and you get 3/10!

Use the ratio of a 45-45-90triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals in simplest form.

Answers

9514 1404 393

Answer:

  m = n = 5

Step-by-step explanation:

The side ratios in a 45°-45°-90° triangle are 1 : 1 : √2. That is, the hypotenuse is √2 times the side length. Here, the hypotenuse is 5√2, so the side length must be 5.

  m = n = 5

The population of Americans age 55 and older as a percentage of the total population is approximated by the function f(t) = 10.72(0.9t + 10)^0.3 (0 <= t < = 20)

where t is measured in years, with t=0 corresponding to the year 2000.

Required:
a. At what rate was the percentage of Americans age 55 and older changing at the beginning of 2002?
b. At what rate will the percentage of Americans age 55 and older be changing in 2017?
c. What will be the percentage of the population of Americans age 55 and older in 2017?

Answers

Answer:

Part A)

About 0.51% per year.

Part B)

About 0.30% per year.

Part C)

About 28.26%.

Step-by-step explanation:

We are given that the population of Americans age 55 and older as a percentange of the total population is approximated by the function:

[tex]f(t) = 10.72(0.9t+10)^{0.3}\text{ where } 0 \leq t \leq 20[/tex]

Where t is measured in years with t = 0 being the year 2000.

Part A)

Recall that the rate of change of a function at a point is given by its derivative. Thus, find the derivative of our function:

[tex]\displaystyle f'(t) = \frac{d}{dt} \left[ 10.72\left(0.9t+10\right)^{0.3}\right][/tex]

Rewrite:

[tex]\displaystyle f'(t) = 10.72\frac{d}{dt} \left[(0.9t+10)^{0.3}\right][/tex]

We can use the chain rule. Recall that:

[tex]\displaystyle \frac{d}{dx} [u(v(x))] = u'(v(x)) \cdot v'(x)[/tex]

Let:

[tex]\displaystyle u(t) = t^{0.3}\text{ and } v(t) = 0.9t+10 \text{ (so } u(v(t)) = (0.9t+10)^{0.3}\text{)}[/tex]

Then from the Power Rule:

[tex]\displaystyle u'(t) = 0.3t^{-0.7}\text{ and } v'(t) = 0.9[/tex]

Thus:

[tex]\displaystyle \frac{d}{dt}\left[(0.9t+10)^{0.3}\right]= 0.3(0.9t+10)^{-0.7}\cdot 0.9[/tex]

Substitute:

[tex]\displaystyle f'(t) = 10.72\left( 0.3(0.9t+10)^{-0.7}\cdot 0.9 \right)[/tex]

And simplify:

[tex]\displaystyle f'(t) = 2.8944(0.9t+10)^{-0.7}[/tex]

For 2002, t = 2. Then the rate at which the percentage is changing will be:

[tex]\displaystyle f'(2) = 2.8944(0.9(2)+10)^{-0.7} = 0.5143...\approx 0.51[/tex]

Contextually, this means the percentage is increasing by about 0.51% per year.

Part B)

Evaluate f'(t) when t = 17. This yields:

[tex]\displaystyle f'(17) = 2.8944(0.9(17)+10)^{-0.7} =0.3015...\approx 0.30[/tex]

Contextually, this means the percetange is increasing by about 0.30% per year.

Part C)

For this question, we will simply use the original function since it outputs the percentage of the American population 55 and older. Thus, evaluate f(t) when t = 17:

[tex]\displaystyle f(17) = 10.72(0.9(17)+10)^{0.3}=28.2573...\approx 28.26[/tex]

So, about 28.26% of the American population in 2017 are age 55 and older.

which shape is both a parallelogoram and a rhombus

Answers

Answer:

A square can be defined as a rhombus which is also a rectangle and a parellelogram with four congruent sides and four right angles

I hope this helps

Given the function f(x) = -5x + 2, find the range ofly for x = -1, 0, 1.
O 7, 2, -3
O 7, 2, 3
O-7, -2, 3
0-7, -2, -3

Answers

Answer:

A

Step-by-step explanation:

f(-1)=7, f(0)=2, f(1)=-3

Which of the following expressions is equal to tan205°?
tan55°
tan25°
tan25°

Answers

Answer:

the write answer to your question is tan 25 degree

Find the x- and y-intercept of the line
X+4y=36

Answers

the answer:
(36,0) (0,9)
Other Questions
write a letter why you did not write your note in the class Which of the following tend to maintain listener interest? solve the inequality and graph the solution -5-7x < -40 Which type of lines typically convey a feeling of disorder? 1) What does the semicircular canal do ??Please give short and simple answer Which is the graph of the equation y- 1 =} (x 3)?10066 4(9,5)3.1)1-10-A-222 4 6 8 10 x4odwo106 Activation energy is:A. The energy needed to begin breaking the bonds of reactants.B. None of these.C. The maximum amount of energy reactants can hold.D. The energy needed to begin breaking the bonds of products. reparation of Stockholders Equity Section Wildcat Drilling has the following accounts on its trial balance. Debit Credit Retained Earnings 600,000 Cash 825,000 Additional Paid-In CapitalCommon 3,100,000 Additional Paid-In CapitalPreferred 400,000 Accounts Payable 345,000 Accounts Receivable 410,000 Common Stock, $1 par 600,000 Preferred Stock, $10 par 340,000 Inventory 1,300,000 Treasury StockCommon (30,000 shares) 382,000 Accumulated Other Comprehensive Income 70,000 Required: Prepare the stockholders equity portion of Wildcats balance sheet. Give an example of a trinomial with a GCF of 6a. Study the editorial cartoon by Bill Mauldin. A dilapidated schoolhouse sits in darkness. Pieces of the schoolhouse are strewn about and the "public school" sign is hanging crookedly. How does the atmosphere around the school contribute to the effectiveness of the cartoon's message? The disarray in front shows that public schools have suffered harsh weather damages. The abandoned schoolhouse with an eerie background dramatizes the loss of public schools. The element of disrepair shows readers that this schoolhouse was not built well. The haunted theme makes the reader believe that public schools are ghostly places. Help ! Please and thanks PLZ ANSWER QUESTION IN PICTURE You are considering the purchase of a machine out of your evaluation among four new ones. They have differing initial and ongoing costs and differing lives. Whichever machine is purchased will be replaced at the end of its useful life. Under such circumstances, you should choose the machine to purchase based on the ___________________. sejam berapa minit? What kind of question would an ancient myth try to answer?How are the moon and the tides connected?What minerals cover the surface of the moon?Which phase of the moon is most beautiful?Why does the moon get smaller and disappear? For the following exercise, calculate the desired dose. Then calculate the amount to administer. Ordered: Pergolide mesylate 100 mcg PO tid On hand: Pergolide mesylate 0.05 mg tablets what is the Desired dose? Schell Company manufactures automobile floor mats. It currently has two product lines, the Standard and the Deluxe. Schell has a total of $25,740 in overhead. It currently uses a traditional cost system with overhead applied to the product on the basis of either labor hours or machine hours. Schell has compiled the following information about possible cost drivers and its two product lines:Schell Company Total Quantity/Amount Consumed by Standard Floor Mat Line Quantity/Amount Consumed by Deluxe Floor Mat Line1,170 labor hours 740 labor hours 430 labor hours7,000 machine hours 2,900 machine hours 4,100 machine hoursRequired:a. Suppose Schell uses a traditional costing system with direct labor hours as the cost driver. Determine the amount of overhead assigned to each product line.b. Suppose Schell uses a traditional costing system with machine hours as the cost driver. Determine the amount of overhead assigned to each product line. Scores on a national English test are Normally distributed, with a mean score of 510 and a standard deviation of 75. Sixty-eight percent of English tests were less than which score, rounded to the nearest whole number?A) 475B) 529C) 545D) 561 Select all of the following that are considered essential nutrients.O waterO vitaminsO mineralsO proteinsO calorieso carbohydratesO fats Mary spends her Saturday mornings buying groceries, helping her children with homework, cooking, andworking on her weekend assignment. She does not always do these tasks in the same order. In how manypossible ways can she do her tasks?