Answer:
The 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt is (20.11%, 32.17%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a simple random sample of 352 students at a college, 92 reported that they have at least $1000 of credit card debt.
This means that [tex]n = 352, \pi = \frac{92}{352} = 0.2614[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2614 - 2.575\sqrt{\frac{0.2614*0.7386}{352}} = 0.2011[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2614 + 2.575\sqrt{\frac{0.2614*0.7386}{352}} = 0.3217[/tex]
As percent:
0.2011*100% = 20.11%
0.3217*100% = 32.17%.
The 99% confidence interval for the percent of all the students at that college who have at least $1000 in credit card debt is (20.11%, 32.17%).
-1+3cotx
How do I graph this?
Answer:
Step-by-step explanation:
Solve:
3/4 + 6/7 + 2/9
The answer is 1.829365
Step-by-step explanation:
3/4+6/7+2/9=1.83
Answer:
461/252
Step-by-step explanation:
See the steps below:)
Can someone help me please
35-4-2-13
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How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze? Use the six-step method.
To Find :
How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze.
Solution :
Let, x gallons of 80% antifreeze solution is required :
So,
[tex](x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500[/tex]
Therefore, 500 gallons of 80% antifreeze solution is required.
what is the area of a tile floor that is 12.8 feet long and 9.5 feet wide
Answer: 121.5 ft^2
Step-by-step explanation:
Area= L x W
12.8 X 9.5
= 121.6
PLS HELP!! need the answer asap
Answer:
Step-by-step explanation:
x+2x+27=90
3x=90-27
3x=63
x=63/3
x=21
Answer:
x = 21
Step-by-step explanation:
Since ∠ PQR = 90° , then the sum of the 3 angles = 90° , that is
x + 2x + 27 = 90
3x + 27 = 90 ( subtract 27 from both sides )
3x = 63 ( divide both sides by 3 )
x = 21
Can someone please help answer?
Hey can you somebody help me with this problem
Step-by-step explanation:
sinx=20/36
x=sin-¹20/36
x=34
Gabriel multiplied a number by 5 instead of 3. The answer that he got was
12 more than the correct answer. What was the original number?
Answer:6
Step-by-step explanation:
The original number that was multiply by 5 instead of 3 is 6.
What is the orignal number?The equation that can be used to represent the informatioin in the question is:
5x - 3x = 12
Where x is the original number
In order to determine the value of x, take the following steps
Combine similar terms: 2x = 12
Divide both sides by 2
x = 6
To learn more about multiplication, please check: https://brainly.com/question/3385014
What is the slope of the line that passes through the points (-2, 3) (−2,3) and (-14, -5) ?(−14,−5)? Write your answer in simplest form.
Answer:
2/3
Step-by-step explanation:
the steps are in the pic above
f(x)=10x-15 g(x)=2x-3 Find: (f/g)(x)
The function operation (f/g)(x) in the functions f(x) = 10x-15 and g(x) =2x-3 is 5.
What is the function operation (f/g)(x) in the given function?A function is simply a relationship that maps one input to one output.
Given that;
f( x ) = 10x - 15g( x ) = 2x - 3( f / g )( x ) = ?First, we replace the function designators in f/g with the actual functions.
(f / g )(x) = f(x) / g(x)
(f / g )(x) = ( 10x - 15 ) / ( 2x - 3 )
Now, factor out 5 from 10x and -15
(f / g )(x) = 5( 2x - 3 ) / ( 2x - 3 )
Cancel the common factor of 2x - 3
(f / g )(x) = 5( 1 ) / ( 1 )
(f / g )(x) = 5 / 1
(f / g )(x) = 5
Therefore, the function operation (f/g)(x) equals 5.
Learn more about functions here: brainly.com/question/2541698
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a serving of crackers has 1.5 grams of fat. How many grams of fat are in 3.75 servings
Answer:
5.625
Step-by-step explanation:
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
5.625 grams of fat are in 3.75 servings.
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
What is a Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Learn more about the unitary method here https://brainly.com/question/24587372
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Two similar trapezoids have areas 225 and 400. If the height of the smaller trapezoid is 12, find the height of the larger trapezoid.
Answer:
Step-by-step explanation:
Which of the following plots has exactly 2 clusters and
1 outlier
Can someone help me??
A= 346.5cm^2, thats the answer
Fraccion decimal de -8,6
Answer:
− 1. ¯3
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Solve the given system of equations 4x+5y=10 -x-8=3y
Answer:
[tex]4x + 5y = 10 - - - (a) \\ - x - 8 = 3y \\ - x - 3y = 8 \\ x + 3y = - 8 - - - (b) \\ 4 \times (b) - (a) : \\ = > 0x + 7y = - 42 \\ y = - 6 \\ x - 21 = - 8 \\ x = 13 \\ { \boxed{x = 13}} \\ { \boxed{y = - 6}}[/tex]
Answer:(10,-6)
Step-by-step explanation:
https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%20%5C%20+%20%5C%205y%20&=&%2010%20%5C%5C%20-4x%20%5C%20-%20%5C%2012y%20&=&%2032%5C%5C%20%5Chline%200%20%5C%20-%20%5C%207y%20&=&%2042%5C%5C%20y%20&=&%20-6%20%5Cend%7Barray%7D
https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%5C%20+%20%5C%205y%20&=&10%20%5C%5C%204x%5C%20+%20%5C%205(-6)%20&=&10%20%5C%5C%204x%5C%20-%20%5C%2030%20&=&10%20%5C%5C%204x%20&=&%2040%20%5C%5C%20x%20&=&%2010%20%5Cend%7Barray%7D
Line passes through the point (2,10) and has a y-intercept of 4. what is the equation of the line?
Answer:
y = 3x + 4
Step-by-step explanation:
y = mx + b
b = y-intercept so:
b = 4
Since 4 is the y-intercept that means (0, 4).
To find slope:
m=(y2-y1)/(x2-x1)
m=(4 - 10)/(0 - 2)
m= (-6)/(-2)
m= 3
Slope-intercept:
y - y1 = m(x - x1)
y - 10 = 3(x - 2)
y - 10 = 3x - 6
y = 3x + 4
Brayden saves $1,500 at a yearly simple interest rate of 2.5%. How many years
does it take for the amount he has saved to be double the original amount.
Answer:
40 years.
Step-by-step explanation:
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
Brayden saves $1,500 at a yearly simple interest rate of 2.5%.
This means that [tex]P = 1500, I = 0.025[/tex]
How many years does it take for the amount he has saved to be double the original amount?
This will happen when the earned money is the principal, that is, E = 1500. So
[tex]E = P*I*t[/tex]
[tex]1500 = 1500*(0.025)*t[/tex]
[tex]t = \frac{1}{0.025}[/tex]
[tex]t = 40[/tex]
40 years.
Answer:
Step-by-step explanation:
40 years.
Step-by-step explanation:
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
Brayden saves $1,500 at a yearly simple interest rate of 2.5%.
This means that
How many years does it take for the amount he has saved to be double the original amount?
This will happen when the earned money is the principal, that is, E = 1500. So
The probability of Jan's school bus running late is 3/8. And 168 days of riding the bus how many times can Jan expected to be late
Answer:
Step-by-step explanation:
57=
{5,9,8,6,3,9,1,4,5,9,13}
Answer:
75
Step-by-step explanation:
In the triangle ABC shown below, DE is parallel to BC. Find the length of DB.
20
10
D
E
х
B
15
с
Answer:
i think it's 10 because if DE is 10 so BD is the same think it's 10
Solve X^2 - 6x = -5 by completing the square. Show all work for the steps below. A) For x^2 - 6x + c = -5 + c, what value of c is used to complete the square? B) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. C) Solve for x. ( Will Mark Brainliest but no links or nonsense answers please) I Also Posted A Picture Of The Question And Steps so you can see what the question and steps are to take.
Answer:
Below.
Step-by-step explanation:
x^2 - 6x = -5
x^2 - 6x + 9 = -5 + 9 c = 9
(x - 3)^2 = 4
x - 3 = +/- sqrt4
x - 3 = +/- 4
x - 3 = 2 gives x = 5 and
x - 3 = -4 gives x = -1.
What type of symmetry’s are shown?
Answer:
18o rotational symetry
Step-by-step explanation:
When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 3 types of movies: romantic comedy (R), action/adventure (A), or drama (D); and a choice of 2 types of post-movie activities: grabbing coffee (C) or getting ice cream (I). If you are choosing only one of each.
Required:
List the sample space in regard to the dates (combinations of restaurants, movies, and post-movie activities) you could pick from. REDDIT
Answer:
[tex]S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}[/tex]
Step-by-step explanation:
Given
[tex]Restaurant = \{P,B\}[/tex]
[tex]Movies = \{R,A,D\}[/tex]
[tex]Post-movie = \{C,I\}[/tex]
Required
List out the sample space
To do this, we simply pick 1 item in each category, without repetition.
So, we have:
[tex]S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}[/tex]
A landowner wants to find the distance d across a pond. The two overlapping right triangles are similar . Using the measurements shown , what is d?
Answer:
96 m
Step-by-step explanation:
It is given that the two overlapping triangles are similar in the figure.
The landowner wishes to find the distance across the pond. The distance is d.
From the figure, since the two triangles are similar, therefore we can write :
[tex]$\frac{d}{(24+40)}=\frac{60}{40}$[/tex]
[tex]$\frac{d}{64}=\frac{60}{40}$[/tex]
[tex]$d = \frac{60}{40} \times 64$[/tex]
[tex]$d = \frac{6}{4} \times 64$[/tex]
d = 6 x 16
= 96 m
Therefore, the distance across the pond is d = 96 m
A rectangular prism has a length of 4 feet, a width of 8 feet and a height of 5 feet. What is the volume of the prism
Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it. If a law-abiding calculus student, one who always travels at the posted speed and who always does his homework, is traveling 45 miles per hour is directly above a train going 60 miles per hour below, how fast will they be separating 10 seconds later
Answer: 110 feet per second
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:
[tex]S1=\frac{45*5280}{3600}=66[/tex]
[tex]S2=\frac{60*5280}{3600}=88[/tex]
So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:
[tex]h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}[/tex]
[tex]h=\sqrt{12100}=110[/tex]
Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
In this exercise we have to use the knowledge about distance to calculate the time that a route with a car will be carried out, in this way we find:
[tex]H= \sqrt{12100}=110[/tex]
In this question we will acquire that the vehicle driven on streets at 45 5 per period exist mobile into the x direction accompanying a extreme of 100 extremities, and the train happen going fashionable the y course, so they course will fashioned an angle of 90º.
[tex]S_1=(45*5280)/3600=66\\S_2=(60*5280)/3600=88[/tex]
So we can curve trio accompanying edge 66 and 88 and the hypotenuse will exist the rate that the trains will separate per second so:
[tex]H=\sqrt{(66^2+88^2}=\sqrt{(4356+7744} \\=110[/tex]
See more about distance at brainly.com/question/989117
Please help! Will give brainliest! (Worth 20 points, URGENT)
I messed up the points-
Step-by-step explanation:
Problem #1
alright, so it would be 7 1/4-6 3/8=7/8
we can check by adding:
6 3/8+7/8=7 1/4.
Problem #2
we can do the same for this one!
8 1/4-7 3/8=7/8
to check:
7/8+7 3/8=8 1/4