1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vadim26 [7]
3 years ago
6

according the the american hotel and motel association, women are expected to account for half of all business travelers by the

year 2002. the ahma found tht 80% offer hair dryers in the bathrooms. consider a sample of 20 hotels. find the probability that more than 9 but less than 17 of the hotels in the sample
Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

Answer:  0.71221

Step-by-step explanation:

We know that for binomial distribution :-

\mu=np\ \ ;\ \sigma=\sqrt{np(1-p)}, where p is the proportion of success in each trial and n is the sample size.

Given : p=0.80  ;   n=20

Then, \mu=20(0.8)=16\ \ ;\ \sigma=\sqrt{20(0.8)(0.2)}=1.79

Let X be the binomial variable.

z-score : z=\dfrac{x-\mu}{\sigma}

For x=9

z=\dfrac{9-16}{1.79}=-3.91

For x=17

z=\dfrac{17-16}{1.79}=0.56

Then, the probability that more than 9 but less than 17 of the hotels in the sample is given by :-

P(9

Hence, the probability that more than 9 but less than 17 of the hotels in the sample = 0.71221

You might be interested in
Which of the following statements is correct? Population parameters are used to make inferences about sample statistics. Populat
ikadub [295]

Answer: Sample statistics are used to make inferences about population parameters.


Step-by-step explanation:

A number which describes a population is called a parameter, such as a proportion or percentage.

A statistic is a number which may be calculated from the data observed in a random sample without demanding the use of any unknown parameters.

The mean and variance of a population are population parameters.

Thus, fourth statement is the right answer "Sample statistics are used to make inferences about population parameters."

6 0
3 years ago
Read 2 more answers
A door to a playhouse is 50 inches tall. Which of the following is another measure equal to the height?
Effectus [21]

Answer:

4 ft 2 in.

Step-by-step explanation:

A door to a playhouse is 50 inches tall

we know that

1 in---------------> is 0.0833333 ft

so

50 in-------------> 50*0.0833333---------> 4.167 ft

4.167 ft----------> [4 ft+0.167 ft]

remember that

1 in---------------> is 0.0833333 ft

X in----------------> 0.167 ft

X=0.167/0.0833333----------> X=2 in

4.167 ft----------> [4 ft+0.167 ft]--------> [4 ft+2 in]

5 0
2 years ago
the points (11, 13) and (13, 13) fall on a particular line. What is it's equation in slope- intercept form?​
Zinaida [17]

Answer:

y=13

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What would y=x^2 +x+ 2 be in vertex form
balu736 [363]

Answer:

y = (x +  \frac{1}{2} )^{2}  +  \frac{7}{4}

Step-by-step explanation:

y =  {x}^{2}  + x + 2

We can covert the standard form into the vertex form by either using the formula, completing the square or with calculus.

y = a(x - h)^{2}  + k

The following equation above is the vertex form of Quadratic Function.

<u>Vertex</u><u> </u><u>—</u><u> </u><u>Formula</u>

h =  -  \frac{b}{2a}  \\ k =  \frac{4ac -  {b}^{2} }{4a}

We substitute the value of these terms from the standard form.

y = a {x}^{2}  + bx + c

h =  -  \frac{1}{2(1)}  \\ h =  -  \frac{ 1}{2}

Our h is - 1/2

k =  \frac{4(1)(2) - ( {1})^{2} }{4(1)}  \\ k =  \frac{8 - 1}{4}  \\ k =  \frac{7}{4}

Our k is 7/4.

<u>Vertex</u><u> </u><u>—</u><u> </u><u>Calculus</u>

We can use differential or derivative to find the vertex as well.

f(x) = a {x}^{n}

Therefore our derivative of f(x) —

f'(x) = n \times a {x}^{n - 1}

From the standard form of the given equation.

y =  {x}^{2}  +  x + 2

Differentiate the following equation. We can use the dy/dx symbol instead of f'(x) or y'

f'(x) = (2 \times 1 {x}^{2 - 1} ) + (1 \times  {x}^{1 - 1} ) + 0

Any constants that are differentiated will automatically become 0.

f'(x) = 2 {x}+ 1

Then we substitute f'(x) = 0

0 =2x + 1 \\ 2x + 1 = 0 \\ 2x =  - 1 \\x =  -  \frac{1}{2}

Because x = h. Therefore, h = - 1/2

Then substitute x = -1/2 in the function (not differentiated function)

y =  {x}^{2}  + x + 2

y = ( -  \frac{1}{2} )^{2}  + ( -  \frac{1}{2} ) + 2 \\ y =  \frac{1}{4}  -  \frac{1}{2}  + 2 \\ y =  \frac{1}{4}  -  \frac{2}{4}  +  \frac{8}{4}  \\ y =  \frac{7}{4}

Because y = k. Our k is 7/4.

From the vertex form, our vertex is at (h,k)

Therefore, substitute h = -1/2 and k = 7/4 in the equation.

y = a {(x - h)}^{2}  + k \\ y = (x - ( -  \frac{1}{2} ))^{2}  +  \frac{7}{4}  \\ y = (x +  \frac{1}{2} )^{2}  +  \frac{7}{4}

7 0
3 years ago
What is the sum? <br><br><br><br> –25 + (–18)
liraira [26]
The Sum of this question is.... -43. 

-25 - 18 equals to -43. 
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is <br> 935 × 145 × 0 =
    8·2 answers
  • A museum calculates the rate for groups by charging $4 per person along with a one-time $8 fee. If the cost for a group is $60,
    13·2 answers
  • What are the values of x in the equation shown?<br> 2|3x – 4l= 20
    5·1 answer
  • Which of the following describes the image of a triangle after a dilation that has a scale factor of 5/6
    12·1 answer
  • Helppppppppppppppppppppppppppppp
    14·1 answer
  • Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS,and 25 cents per off-peak time SMS.
    5·1 answer
  • You rode your bike for 5 miles in 30 minutes.
    15·1 answer
  • A house started with a value of $160,000. After 10 years its value had increased by 35%.
    15·1 answer
  • 2x + 25x9 +3<br> What would x be for it to be equal
    5·1 answer
  • What is the standard form of 365.05​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!