An information technology service at a large university surveyed 200 students from the College of Engineering and 100 students from the College of Arts. Among the survey participants, 91 Engineering students and 73 Arts students owned a laptop computer. Construct a 98% confidence interval for the difference between the proportions of laptop owners among Engineering and Arts students.

Answers

Answer 1

Answer:

CI = ( 0,1433  ;  0,4067 )

Step-by-step explanation:

College of Engineering

sample size  n₁  =  200

sample proportion ( with laptop )    p₁ = 91/ 200   p₁ = 0,455  q₁ = 1 - p₁

q₁ = 0,545

College of Arts

sample size  n₂  =  100

sample proportion ( with laptop )    p₂ = 73/ 100   p₂ = 0,73  q₂ = 1 - p₂

q₂ = 0,27

CI = 98 %      significance level   α = 2 %  α = 0,02    α/2 = 0,01

From z-table we find z(c) for 0,01

z(c) = 2,328

CI = [  ( p₂ - p₁ ) ± z(c) * √ (p₁*q₁)/n₁ + (p₂*q₂)/n₂ ]

CI

[ ( 0,73 - 0,455 ) ±  2,328 * √ (0,455*0,545)/ 200  + ( 0,73*0,27)/100

CI = ( 0,275 ) ±  2,328 *√0,00123 + 0,001971

CI = ( 0,275 ± 2,328* 0,0566)

CI = ( 0,275 - 0,1317  ;  0,275 + 0,1317 )

CI = ( 0,1433  ;  0,4067 )

The values of the CI  for  the difference are always positive meaning that the proportion of students of Arts is greater than the proportion of students of Engineering


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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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[tex]sin\theta=\frac{y}{h}\\ \\ sin\theta=0.866[/tex]

In a race, 22 out of the 25 bicyclists finished in less than 56 minutes. What percent of bicyclists finished the race in less than 56 minutes? Write an equivalent fraction to find the percent. 22 x % % 25 x 100​

Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Find the perimeter and area of each individual cube then add them up,

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

There are 4 quarts in a gallon and each quart is 1.0567 liters. 2 quarts are 1/2 a gallon. 1.0567*2=2.1134

9514 1404 393

Answer:

  2.  1.8927 L

  3.  603.22 cm²

Step-by-step explanation:

To convert units, multiply by a ratio whose value is 1. That is, the numerator and denominator are equal amounts, but have units that cancel ones you don't want and give you units you do want.

2.

  [tex]\displaystyle \frac{1}{2}\text{ gal}\times\frac{4\text{ qt}}{1\text{ gal}}\times\frac{1\text{ L}}{1.0567\text{ qt}}=\frac{4}{2\times1.0567}\text{ L}\approx\boxed{1.8927\text{ L}}[/tex]

__

3.

  [tex]A=LW=(8.5\text{ in})(11\text{ in})\times\left(\dfrac{2.54\text{ cm}}{1\text{ in}}\right)^2=\boxed{603.2246\text{ cm}^2}[/tex]

_____

Additional comment

It can be helpful to remember that a liter is larger than a quart. So 2 quarts will be less than 2 liters. (You may recall reading on the half-gallon container that it holds 1.89 L.)

Which equation describes the asymptote of the exponential function represented by this graph?

A. Y= 3
B. Y= -3
C. X= -3
D. X= 3

Answers

Y= 3

Just did my test and got it correct

The correct equation describes the asymptote of the exponential function represented by this graph is,

⇒ y = 3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, The exponential function of the type,

⇒ y = a (bˣ) + c

Which has the horizontal asymptote at y = c.

Hence, From the given graph, we can see that as x tends to positive infinity, Thus, the curve tends to;

⇒ y = 3

Thus, The correct equation describes the asymptote of the exponential function represented by this graph is,

⇒ y = 3

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- Max can read about 150 words per minute. Unfortunately for Max, he has waited until
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Answers

Answer:

B) 12 hours

Explanation

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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=  

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20 ÷ 2

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323

10

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32 3/10- which then is equal to 32 6/20 (If we multiply 3/10 by 2 we get 6/20)

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Answers

Answer:

The answer is C) 160 in2

Step-by-step explanation

Easy!

5x5=25

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A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.

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The given figure is a pyramid having a square base.

The pyramid also has four triangular faces, each having a base of 5 in and a height of 8 in.

Therefore, the surface area of the pyramid is,

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= 80 in².

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A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city. A management team in Portland has a big meeting tomorrow, and all 6 members of the team are hard at work in their separate households, preparing their presentations. What is the probability that none of them has lost electricity in his/her household

Answers

Answer:

0.647 = 64.7% probability that none of them has lost electricity in his/her household

Step-by-step explanation:

For each household, there are only two possible outcomes. Either they lost electricity, or they did not. The probability of a household losing electricity is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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And p is the probability of X happening.

A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city.

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6 members

This means that [tex]n = 6[/tex]

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This is P(X = 0). So

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Answers

Answer:

x = 30°

Step-by-step explanation:

the small triangle is equilateral

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so 180 -60 = 120

180 - 120 = 60

60/2 = 30

Answer:

nope i tried and i couldnt get it

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The ratio of boys to girls in a summer camp is 2:5.
there are 90 girls in the camp. How many boys are in
the camp?

Answers

Answer:

36:90

Step-by-step explanation:

Boys: Girls

2     :   5

Question: How many boys are there if there are 90 girls?

The question is basically asking an equivalent ratio...

Let x be the number of boys.

[tex]\frac{2}{5}[/tex] = [tex]\frac{x}{90}[/tex]

90 ÷ 5 = 18

So, if you multiply 18 by the number of the previous girls (5) you get 90

Therefore, you multiply 18 with the previous no. of boys (2) and that would be you equivalent answer!

2×18= 36


In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?


Answers

Answer:

21

Step-by-step explanation:

Trust

The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

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It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.

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In the diagram below, O is circumscribed about quadrilateral ABCD.

In a quadrilateral, the sum of the opposite angles is equal to 180 degree

5x + 75 = 180

5x = 105

x = 21

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There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track,
24 people use the gym and the track.
9 people use all three facilities,
Given that a randomly selected person uses at least two facilities, what is the probability they
use all the facilities?

Answers

Answer:

43/120 ≈ 0.3583

Step-by-step explanation:

Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...

 21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities

The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...

43/120 ≈ 0.3583

_____

The given numbers add up as follows:

 Gym only: 42

Pool only: 18

Track only: 14

Gym and Pool only: 12

Gym and Track only: 15

Pool and Track only: 7

Gym and Pool and Track: 9

No facilities: 3

Help please asap !!!

Answers

9514 1404 393

Answer:

v(t) = $342,000×1.06^tv(8) = $545,096v(15) = $819,623

Step-by-step explanation:

When the growth (or decay) amount is a fraction or percentage of the current amount, an exponential model is indicated. Here, it will be of the form ...

  value = (initial value) × (1 + (growth rate))^t

where t is the time period corresponding to the growth rate.

We are given that the initial value is $342,000 and the growth rate is 6% in a year. So, the model can be ...

  value = 342,000×1.06^t . . . . . where t is years after 2017

__

In 2025, we are 8 years after 2017, so the value is predicted to be ...

  value = $342,000×1.06^8 ≈ $545,096 . . . in 2025

__

In 2032, we are 15 years after 2017, so the value is predicted to be ...

  value = $342,000×1.06^15 ≈ $819,623 . . . in 2032

Which of these is NOT a Pythagorean triple?

Answers

Last one is not.
8^2+40^2=41^2
64+1600=1681
1664 is not equal to 1681

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Answer: Can you pleaes post the pic again it is not clear

Step-by-step explanation:

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