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
Help please asap !!!
9514 1404 393
Answer:
v(t) = $342,000×1.06^tv(8) = $545,096v(15) = $819,623Step-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
In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?
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.
What is quadrilateral?
It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.
We have:
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
Thus, 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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In a unit circle, the point (-0.5,0.866) lies on the terminal side of an angle, theta. What is the sine of this angle?
Answer:
Step-by-step explanation:
The unit circle has a hypotenuse of 1.
[tex]sin\theta=\frac{y}{h}\\ \\ sin\theta=0.866[/tex]
4. Joe bought a car for $25,000 that was originally selling for $32,000. What percent discount did he receive?
M is the centroid of the triangle.
CM=7, PM=10, & BQ=18
M
AM=[?]
Is it 6?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
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
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
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.
A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city.
This means that [tex]p = 0.07[/tex]
6 members
This means that [tex]n = 6[/tex]
What is the probability that none of them has lost electricity in his/her household?
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.07)^{0}.(0.93)^{6} = 0.647[/tex]
0.647 = 64.7% probability that none of them has lost electricity in his/her household
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
Answer:
uhhm uh i think its uh.. a carrot :/
Step-by-step explanation:
Answer:
88%
Step-by-step explanation:
22/25 × 4/4 = 88/100 = 88%
Someone help me with all of this I’m confused so pls help me!
Answer:
i never knew tommy innit needed help with his homework
Step-by-step explanation:
Answer:
Photosynthesis takes place in the chloroplast of plants. Plants use light energy, also known as radiant energy, to change carbon dioxide and water into something new. Radiant energy is changed into chemical energy. Glucose and oxygene (???)
Step-by-step explanation:
I think I did something wrong here.
Good luck <3
Find the surface area of the square pyramid. A) 80 in2 B) 105 in2 C) 160 in2 D) 210 in2
Answer:
The answer is C) 160 in2
Step-by-step explanation
Easy!
5x5=25
8x5=40x4=160
The surface area of the square pyramid is, A. 80 in².
What is a pyramid?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.
The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.
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,
= 4[(1/2)×5×8] square inches.
= 80 in².
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Write the equation of a line in point-slope form whose slope is 7 and passes through the point (7, -2).
Answer:
Step-by-step explanation:
m=7
So by using point slope form
y-y1=m(x-x1)
y-(-2)=7(x-7)
y+2=7x-49
y-7x+51=0
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?
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
please help me please i really need help please
Answer:
option A is the correct one.
help me please :)))))))))))
Answer: Can you pleaes post the pic again it is not clear
Step-by-step explanation:
What is the answer, 15 points
9-3 ÷ 1/3+1=
Answer:
i think the answer to this is 9
Answer:
1
Step-by-step explanation:
The answer is just one bro
Please help me and give me explanation and stop giving me links you virus people. Please help me out.
Answer: Fifth
Step-by-step explanation: Second week really had the most sales, but it was not an option. Fifth week had the second most sales, and it WAS an option.
Answer:
Fifth.
Step-by-step explanation:
Second would have been the answer BUT second isnt a option.
Help please! And can you show step by step work
Answer:
2.1134 liters
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.)
Find the value of x
Please help
Answer:
128 degrees
Step-by-step explanation:
360-90-90-52=128
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
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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Juanita's rectangle measures 3 1/2 units by 2 1/3 units. what is the area
Answer:
8 and 1/6 units²
Step-by-step explanation:
Someone help me with these two questions yuh 20 points
Answer:
option b is your answer. look it once
What is the value of X please?
Answer:
x = 30°
Step-by-step explanation:
the small triangle is equilateral
That means that side with angle x that shares the same side with the other triangle is also 40
so its isosceles
in the equilateral, all angles measure 60
so 180 -60 = 120
180 - 120 = 60
60/2 = 30
Answer:
nope i tried and i couldnt get it
Which of these is NOT a Pythagorean triple?
The Ratio of Girls to Boys:
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?
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
- Max can read about 150 words per minute. Unfortunately for Max, he has waited until
this weekend to do all his reading. The book he has to read is 310 pages long. If a typical
paperback has about 350 words per page, how many hours should he set aside for this
reading?
A. 12 days
B. 12 hours
C. 72.3 days
D. 610 hours
Answer:
B) 12 hours
Explanation
Max can read 150 words per minute. 350 words per page divided by 150 is 2.333, so max can read 1 page in around 2 minutes. There are 310 pages. 2.333 * 310 is around 723. 723 minutes converted to hours is 12 hours. Boom. Done.
WILL GIVE BRAINLEIST SO PLZ HELP IM VERY DESPERATE!
Answer: easy is 6/5
Step-by-step explanation:
Here why 3/2 times 4/5
Please help me I tired of keep asking. If you have a heart you would help me and give me the right answer Please (NO LINKS) (NO LYING )
Answer:quit
Step-by-step explanation:that looks lard
Which expression is NOT equivalent to the expression 8m + 12?
A - 1/2 (16m + 24)
B - 4 (2m + 3)
C - 2 (4m + 6)
D - 8 (m +12)
Answer:
D
Step-by-step explanation:
what is the area of the triangle 10,24,26
Step-by-step explanation:
i d like to help but i fon knoeww
How do you find the perimeter and area of each figure
Answer:
Find the perimeter and area of each individual cube then add them up,
Area=length times width
Perimeter=4 times side
Step-by-step explanation:
What is the area, in sqaure feet, if the rectangle shown below?
Answer:
D. 32 6/20
Step-by-step explanation:
6 4/5 ×4 3/4
=
34/5× 19/4
=
34× 19
5 4
=
646
20
=
646 ÷ 2
20 ÷ 2
=
323
10
=
32 3/10- which then is equal to 32 6/20 (If we multiply 3/10 by 2 we get 6/20)