About 60% of U.S full-time college students drank alcohol within a one-month period. You randomly select six U.S. full-time college students. Find the probability that the number of U.S. full-time college students who drank alcohol within a one-month period is exactly two.

Answers

Answer 1

Answer:

13.82%

Step-by-step explanation:

Here we have proportion of U.S. full time college students= p = 0.60, Random sample = n = 6

Here we apply Binomial distribution .

p ( X =x ) = nCx * px * ( 1 -p) n-x

a) Exactly two.

P ( x = 2 ) =  6C2 * 0.602 * ( 1 -0.60) 6-2

= 0.1382


Related Questions

Solve for x in this equation: 3/4+|5-x|=13/4

Answers

The answer is -5/7
Find the lcm of the denominator
And then use the lcm to multiple

Any help here please

Answers

Answer:

A

Step-by-step explanation:

JUst answered same question

PLEASE HEP ME
PLEASE HELP AND BE CORRECT BEFORE ANSWERING

Answers

9514 1404 393

Answer:

TrueTrue

Step-by-step explanation:

The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.

Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.

  AB ║ A'B' — True

  AD ≅ A'D' — True

_____

You can see these relationships in the attached figure.

What is a40
a
40
of the arithmetic sequence for which a8=60
a
8
=
60
and a12=48
a
12
=
48
?

Answers

9514 1404 393

Answer:

  -36

Step-by-step explanation:

Using the expression for the general term, you can fill in the known values and solve for the parameters of the sequence.

  an = a1 +d(n -1)

  a8 = a1 + d(8 -1) = 60

  a12 = a1 + d(12 -1) = 48

The difference of these equations is ...

  (a1 +7d) -(a1 +11d) = (60) -(48)

  -4d = 12

  d = -3

Substituting into the first equation, we have ...

  a1 +7(-3) = 60

  a1 = 81 . . . . . . . . . add 21

Then the 40th term is ...

  a40 = 81 -3(40 -1) = 81 -117

  a40 = -36

A cube has an edge of 8cm. Calculate its Volume.​

Answers

Answer:

512cm³

Step-by-step explanation:

to get the volume the formula is Base area x height

BA X H

=8x8x8 because all sides of a cube are equal

=512cm³

The slope of the line below is 2. Which of the following is the point-slope form
of the line?

Answers

Answer:

y+1 = 2(x-1)

Step-by-step explanation:

Point slope form for a line is

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

We are given the point(1,-1)

y --1 = 2(x-1)

y+1 = 2(x-1)

Complete the sentence below.

The expression 52x – 169 is equivalent to 13(
)

Answers

Answer:

13(4x-13)

if you distribute it then you come back with 52x-169.

Answer:

its D 4x- 13

Step-by-step explanation:

i just did the question

The composition of a US dollar bill is 3/4 cotton and 1/4 linen. What percent of a dollar bill is cotton?

Answers

Answer:

75% cotton

Step-by-step explanation:

3/4=75%

1/4=25%

total 100%

The two cones below are similar. What is the value of x?
A. 0.16
B. 0.32
C. 0.4
D. 0.8

Answers

Answer:

.8

Step-by-step explanation:

The ratios have to be the same for the cones to be similar

10       4

----- = ------

2         x

Using cross products

10x = 4*2

10x = 8

Divide by 10

x = 8/10

x = .8

Answer:

Step-by-step explanation:

A researcher considers two methods for collecting data to determine if store-brand laundry detergents work as well as name-brand detergents.


Method 1: The researcher surveys shoppers as they enter a grocery store. The shoppers are asked which type of detergent they use and then rate the cleanliness of their laundry on a scale from 1 to 10 (with 10 being the cleanest). The ratings of the name-brand detergents are compared to the ratings of the store-brand detergent.


Method 2: The researcher creates 10 loads of soiled fabrics and washes 5 of the loads with name-brand detergent and the other 5 with store-brand detergent. Volunteers are asked to assess the cleanliness of the fabrics using a scale from 1 to 10 (with 10 being the cleanest), and the ratings of the name-brand detergents are compared to the ratings of the store-brand detergent.


Which method describes an observational study?


Method 2 is an observational study because volunteers assess the fabrics.

Method 1 is an observational study because many people can be surveyed.

Method 1 is an observational study because no attempt is made to influence results.

Both methods are observational studies because information on both types of detergent can be collected.


Not A.

Answers

Answer:

C. Method 1 is an observational study because no attempt is made to influence results.

Step-by-step explanation:

Based on the descriptions provided: Method 1 is an observational study because no attempt is made to influence the results. Option 3 is the correct answer.

An observational study is a type of study where researchers observe and collect data without actively intervening or manipulating any variables.

Method 1 involves surveying shoppers and asking them about their detergent use and laundry cleanliness ratings. The researcher is merely collecting data without intervening or manipulating any variables. The study relies on the natural behavior of shoppers and their responses.

Method 2, on the other hand, involves actively creating soiled fabrics and washing them with different detergents. This intervention introduces an element of manipulation, making it more of an experimental study than an observational one.

To know more about observational study :

https://brainly.com/question/29141360

#SPJ3

Question 1 of 28
What is the length of the short leg in the 30-60-90 triangle shown below?
30
513
60
A. 525
B. 10
O c. 5
D. 515

Answers

Answer: 5

Step-by-step explanation:

Remember the relationships of the sides of a 30-60-90 triangle. The longer leg is sqrt(3) times the value of the shorter leg. By dividing 5[tex]\sqrt{3\\}[/tex] with [tex]\sqrt{3}[/tex] you get 5 as the length of the shorter leg.

what is the domain of f(x)=3x/x-1​

Answers

Interval Notation:
(−∞,1)∪(1,∞)
Set-Builder Notation: {x|x≠1}

Bài 2: Một công ty XNK Việt Nam nhận được tiền bán hàng từ hơp đồng XK là 35.000.000 JPY, đồng thời phải thanh toán tiền mua nguyên vật liệu NK là 3.500.000 CNY. Tại thời điểm thực hiện hợp đồng, NH niêm yết các tỷ giá giao ngay như sau: USD/JPY = 128,15/27 USD/CNY = 9,5575/91 USD/VND = 19.125/38 Hỏi tài khoản VND của công ty còn bao nhiêu tiền sau khi đã thực hiện các hơp đồng trên? Nêu ra phương án thanh toán có lợi nhất cho công ty? %3D

Answers

Answer:

Ask in English then I can help

Once again another one

Answers

Answer:

S = 23.6

Step-by-step explanation:

Since this is a right triangle, we can use  trig functions

sin S = opp / hyp

sin S = 4/10

sin S = 2/5

Taking the inverse sin of each side

sin^-1 ( sin S) = sin ^-1 (2/5)

S=23.57817

Rounding to the nearest tenth

S = 23.6

Question 4 4 pts Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in: 5 years? 10 years? 486 months?

Answers

Answer:

Step-by-step explanation:

5 years

[tex]1500(1+\frac{.06}{12})^{12*5}=2023.275229[/tex]

10 years

[tex]1500(1+\frac{.06}{12})^{10*12}=2729.095101[/tex]

486 months:

[tex]1500(1+\frac{.06}{12})^{486}=16935.47074[/tex]

round those as you please

Find: |-8|
о 0
О -1
0 8
О - 8

Answers

Answer:

|-8|

= |-8| = 8

|-8|. |-a = a , a> o

= 8

Determine the x- and y- intercepts for the graph defined by the given equation. y = 7x + 3 a. x-intercept is ( 3, 0) y-intercept is (0, negative StartFraction 3 Over 7 EndFraction) c. x-intercept is (0, negative StartFraction 3 Over 7 EndFraction) y-intercept is ( 3, 0) b. x-intercept is (negative StartFraction 3 Over 7 EndFraction, 0) y-intercept is (0, 3) d. x-intercept is (3, 0) y-intercept is (negative StartFraction 3 Over 7 EndFraction, 0)

Answers

Answer:

x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

Step-by-step explanation:

Given the function y = 7x + 3

The x-intercept occurs at y = 0. Substituting y = 0 into the expression, we will have:

0 = 7x + 3

7x + 3 = 0

7x = -3

x = -3/7

Similarly, the y-intercept occurs at x = 0. Substituting x = 0 into the expression, we will have:

y = 7(0) + 3

y = 0 + 3

y = 3

Hence the x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)

A random sample of 49 measurements from a population with population standard deviation σ1 = 4 had a sample mean of x1 = 11. An independent random sample of 64 measurements from a second population with population standard deviation σ2 = 5 had a sample mean of x2 = 14. Test the claim that the population means are different. Use level of significance 0.01. What distribution does the sample test statistic follow? Explain.

Answers

Answer:

Reject H0 and conclude that population means are different.

Step-by-step explanation:

H0: μ1 = μ2

H1: μ1 ≠ μ2

x1 = 11 ; σ1 = 4 ; n1 = 49

x2 = 14 ; σ2 = 5 ; n2 = 64

The test statistic :

(x1 - x2) / sqrt[(σ1²/n1 + σ2²/n2)]

Test statistic :

(11 - 14) / sqrt[(4²/49 + 5²/64)]

Test statistic :

-3 / √0.7171556

Test statistic = - 3.542

Using α = 0.01

The critical value Zα/2 ; Z0.01/2 = 2.58

Decison region :

Reject H0 : if Test statistic < Zcritical

Reject H0 : - 3.542 < - 2.58

f(x) = V2x
g(x) = V18x
Find (f .g)(x). Assume x2 0.

Answers

Answer:

fog(x) is D = 6[tex]\sqrt{x}[/tex]

Step-by-step explanation:

I. square all value, so f(x) is 2x then g(x) is 18x

II. Replace x.value in f(x) with g(x).value = 2(18x)

III. If x is 1, 2(18*1) will be 36; find root, so answer is 6

If x is 2, 2(18*2) will be 72; find root, so answer is 6[tex]\sqrt{2}[/tex]

Hope it help, sorry if I'm done it wrong, but I think it's gonna be the right answer. :)

If x+y=6 and xy =2find x³+y³(please help me fast with explanation also please) T^T​

Answers

Answer: x³+y³=180

Step-by-step explain:                                                                                            let's remember the formula                                                                                 x³+y³=(x+y)(x²-xy+y²) and also  x³+y³=(x+y)³-3xy(x+y)                                              then                                                                                      [tex]\displaystyle\boldsymbol{ x^3+y^3=\underbrace{(x+y)^3}_{6}-3\underbrace{xy}_{2}\underbrace{(x+y)}_6}=\\\\6^3-3\cdot 2\cdot 6=216-36=180[/tex]                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

The probability of someone ordering the daily special is 52%. If the restaurant expected 65 people for lunch, how many would you expect to order the daily special? Group of answer choices

Answers

Answer:32.5% fo people will buy

Step-by-step explanation:

mostly half of the people with order

Which of the following is another way of expressing 2 out of 8.
2.5%
25%
25
2.5

Pls help me

Answers

Answer:

it will be 25 percent

Step-by-step explanation:

divide 2 by 8

Answer: 25 %

Step-by-step explanation:

2/8

on simplifing  we got 1/4 in fraction  that is equal to  0.25  that is equal tp 25 % in percentage form.

Hope this will help you

Can someone be my math teacher ? pls message ​

Answers

Answer:

which grade do you want to get helped by ?

expand and simplify √3(√3-1)

Answers

Answer:

[tex]3 - \sqrt{3} [/tex]

Step-by-step explanation:

[tex] \sqrt{3} ( \sqrt{3} - 1)[/tex]

[tex] = \sqrt{3} \times \sqrt{3} - \sqrt{3} \times 1[/tex]

[tex] = 3 - \sqrt{3} (ans)[/tex]

s% of 1/r

PLEASE HELP!

Answers

Answer:

  s/(100r)

Step-by-step explanation:

The % symbol is a shorthand way of writing /100, so ...

  s% of 1/r = (s/100) × (1/r) = s/(100r)

Answer:

Solution given:

S% of 1/r=S/100*1/r=S/(100r) is a required answer.

Step-by-step explanation:

% means divide by 100.

A small manufacturing company recently instituted Six Sigma training for its employees. Two methods of training were offered: online and traditional classroom. Management was interested in whether the division in which employees worked affected their choice of method. Below is a table summarizing the data.

Sales Quality Operations Total
Traditional 16 10 8 34
Online 35 23 44 102
Total 51 33 52 136

Required:
a. What is the probability that an employee chose online training?
b. What is the probability that an employee is in the Quality division and chose online training?
c. What is the probability that an employee chose online training given that he/she is in the Sales division?

Answers

Answer:

(a) [tex]P(Online\ Training) = 0.750[/tex]

(b) [tex]Pr = 0.169[/tex] --- Quality Division and Online Training

(c) [tex]P(A\ |\ B) = 0.686[/tex] --- Online Training given Sales Division

Step-by-step explanation:

Given

The two-way table

Solving (a): P(Online Training)

The total employee is:

[tex]Total = 136[/tex]

The employees for online training is:

[tex]Online\ Training = 102[/tex]

So, the probability is:

[tex]P(Online\ Training) = \frac{102}{136}[/tex]

[tex]P(Online\ Training) = 0.750[/tex]

Solving (b): P(Quality Division and Online Training)

The number of employees that choose quality Division and online training is 23

So, the probability is:

[tex]Pr = \frac{23}{136}[/tex]

[tex]Pr = 0.169[/tex]

Solving (c): P(Online Training | Sales Division)

This is calculated as:

Let:

[tex]A \to[/tex] Online training

[tex]B \to[/tex] Sales division

So, we have:

[tex]P(A\ |\ B) = \frac{n(A\ n\ B)}{n(B)}[/tex]

From the table:

[tex]n(A\ n\ B) =35[/tex]

[tex]n(B) = 16 + 35 = 51[/tex]

So, the probability is:

[tex]P(A\ |\ B) = \frac{35}{51}[/tex]

[tex]P(A\ |\ B) = 0.686[/tex]

determine a simplified expression

Answers

Answer:

For Task B: [tex]3x^4 - 2x^3[/tex]

Step-by-step explanation:

Given that Volume = l*w*h, we can plug in the values on the diagram, so we get the equation (3x-2)([tex]\frac{1}{2}x[/tex])([tex]2x^2[/tex]) = [tex](\frac{3}{2} x^2 - x)(2x^2) = 3x^4-2x^3[/tex]. Hope this helps!!!

Find the volume of the cylinder in terms of [tex]\pi[/tex].

h = 6 and r = 3.


a. 27[tex]\pi[/tex] in.³

b. 108[tex]\pi[/tex] in.³

c. 54[tex]\pi[/tex] in.³

d. 324[tex]\pi[/tex] in.³

Answers

Answer:

c. 54[tex]\pi[/tex] in.³

The volume of cylinder is 54[tex]\pi[/tex] in.³

Step-by-step explanation:

Given that :-

Height of cylinder , h = 6.Radius of cylinder, r = 3.

To Find :-

Volume of cylinder.

Solution:-

We use formula

Volume of cylinder = π × (radius)² × h

Substitute the value of radius and height.

Volume of cylinder = π × ( 3)² × 6.

Evaluate the exponent.

Volume of cylinder = π × 9 × 6.

Multiply we get ,

Volume of cylinder = 54[tex]\pi[/tex] in.³

The formula we use,

→ Volume of cylinder = π × r² × h

It is given that,

→ Height (h) = 6 and radius (r) = 3.

Then we have to,

find the volume of the cylinder,

→ π × r² × h

→ π × 3² × 6

→ π × 9 × 6

→ 54π in.³

Thus, option (c) is the answer.

I need help with this ​

Answers

Answer:

A.

Step-by-step explanation:

A for apple....

Dwuhhhhhhhhhhhhh

Isss ezeewer dan anytwing

A spinner is divided into 6 equal parts. These sections are labeled with a number 1, one section has a 2, one section has a 3, and one section has a 4. If the spinner is spun two times, what is the probability it will land on both 2 sides?

Answers

Answer:

[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either it lands on 2, or it does not. The probability of the spinner landing on two in a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

One of the six sides is 2:

This means that [tex]p = \frac{1}{6}[/tex]

If the spinner is spun two times, what is the probability it will land on both 2 sides?

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{0} = \frac{1}{36} = 0.0278[/tex]

[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.

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Which one is wrong I did them but its saying I got partial credit what is 3 over 4 divided by 1 over 6 pls help me REALY unrgent for a reaction, H= 206 kJ/mol and S=0.215 kj/(kmol). At what temperatures is this reaction spontaneous? Place the expressions that are equivalent under the corresponding expression in the table.2013038.12- 1)2:212-121=-11 # 1 - 21212II + 3)472I + 3 2(1 - 1)-1 2:23(12 - 1)32 23 3+. which types of landscape are found around the tropics of cancer and capricorn DeriveSomebody could help me?check that Which statement is true about the atoms in helium gas?They have strong attractions to one another.They travel in circular paths.They are arranged in an orderly pattern.They are not closely packed. Discuss two characteristics of the female pelvis. Why are these characteristics significant? Solve for in the following equation: 1 - iz=-1 +iz (where i? = -1). Simplify your answer as much as possible. Bit tan s ca AgNO3 60 C l 525 gam 10 C l 170 gam tnh lng AgNO3 tch ra khi lm lnh 2.500g dung dch AgNO3 bo ha 60 C xung 10 C Henry wants to buy a new table saw for his carpentry shop. he saved $360 which is 2/3 of the price of the saw.how much does the table saw cost? In the short run, fixed costs: Group of answer choices are an important feature in a firm's decision to produce or not produce. have no impact on a firm's profit level. remain constant. do not exist. Gabbe Industries is a division of a major corporation. Last year the division had total sales of $23,615,600, net operating income of $3,164,490, and average operating assets of $5,492,000. The company's minimum required rate of return is 19%.Required:a. What is the division's margin?b. What is the division's turnover?c. What is the division's return on investment (ROI)? 10 POINTS!! PLEASE HELP!! What is the value of the interquartile range of the data below? A box-and-whisker plot. The number line goes from 0 to 52. The whiskers range from 10 to 51, and the box ranges from 29 to 41. A line divides the box at 32. 6 12 14 24 gi tr thng d x hi l g Compare the outcome of mitosis vs. meiosis. A rotation was applied to parallelogram GRAM. What is the length of R'A'? 1.5 cm 1.6 cm 3.0 cm 3.2 cm Whats another way to say:Walking out of my bedroom felt like a task. I cant believe I havent gotten out of my in a week nor talked to anyone.As soon as I reached my door, I rushed back to take my phone from my night stand.In a more grammatically correct way!