Answer:
a) 11/7 pages or about 1.57
b) 23/11 dollars or 2.09090909....... (goes on forever)
BRAINLIEST PLS
In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)
Answer:
a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.
The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
Question b:
90% confidence interval means that [tex]Z = 1.645[/tex]
The margin of error is:
[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]
43.78 - 1.701 = 41.079%
43.78 + 1.701 = 45.481%
The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
what is the least common denominator of 1/2, 2/3, and 3/8
Answer: 24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
For the least common denominator, we have to find the smallest number that all fo them multiply to.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26
3, 6, 9, 12, 15, 18, 21, 24, 27, 30
8, 16, 24, 32
i think we can see something
24 is the most common number between them all, so the fractions will be
12/24 (1/2), 16/24 (2/3), and 9/24 (3/8)
Angela bought 4 bottles of soda for a party. Each bottle was 2-liters. How many gallons of soda did she buy? Use 1 gallon = 3.785 liters
Answer:
no sé amigo Thu tcug
Step-by-step explanation:
v8ftuuurk
You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?
Answer:
The monthly loan payment is of $458.88.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amount owed after 5 years:
Loan of 24000 means that [tex]P = 24000[/tex]
5 years means that [tex]t = 5[/tex]
Interest rate of 2.75% means that [tex]r = 0.0275[/tex]
Compounded monthly means that [tex]n = 12[/tex]
The amount is A(5). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]
[tex]A(5) = 27533[/tex]
What is your monthly loan payment?
$27,533 in 5 years = 5*12 = 60 months. So
27533/60 = 458.88
The monthly loan payment is of $458.88.
Which is a function?
O {(-3,5), (1,4), (3,7), (1,7), (4,9)}
O {(7.9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1), (-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)
50000000000000000000000000000000000000000000
Answer:
{(7.9), (13,-2), (8,4), (7,0), (4,12)} is a function
Step-by-step explanation:
Evaluate the indicated limit algebraically. Change the form of the function where necessary. Please write clearly with description of each step, thank you very much.
3x^2+4.5
________
x^2-1.5
lim
x → ∞
Answer:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]
Step-by-step explanation:
We want to evaluate the limit:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}[/tex]
To do so, we can divide everything by x². So:
[tex]=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}[/tex]
Now, we can apply direct substitution:
[tex]\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}[/tex]
Any constant value over infinity tends towards 0. Therefore:
[tex]\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3[/tex]
Hence:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]
Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3x², and in the denominator it is x². So:
[tex]\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}[/tex]
Simplify:
[tex]\displaystyle =\lim_{x\to\infty}3=3[/tex]
The limit of a constant is simply the constant.
We acquire the same answer.
Which is a function?
O {(-3,5), (1,4), (3,7), (1,7),(4,9)}
O {(7,9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1),(-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)
Let g(x)=3x−1 and f(x)=x2+1. Find (g◦f)(−5).
(g◦f)(−5)=nothing (Simplify your answer.)
Answer:
-384
Step-by-step explanation:
Solve for each function first.
g(-5) = 3(-5) - 1
g(-5) = -16
f(-5) = -5^2 + 1
f(-5) = -24
Multiply.
(fg)(-5) = (-16 x -24)
(fg)(-5) = -384
Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.
Two students were asked if they liked to read. Is this a good example of a
Yes, this is a good statistical question because a variety of answers
Yes, this is a good statistical question because there are not a varie
No, this is not a good statistical question because there are not a
No, this is not a good statistical question because there are a van
Answer:
C. No, this is not a good statistical question because there are not a.
Step-by-step explanation:
Because you need a big amount of people to ask for it to be a A good statistical question.Your welcome! Please mark brainliest!
(Or please correct me if I'm wrong)
Find the distance between the pair of points (3, 5) and (-3, 8)
Answer: 3
Step-by-step explanation:
PLEASE HELP ASAP ???
Answer:
-1
Step-by-step explanation:
The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.
Answer: thier salaries are $5000 and $5500
Step-by-step explanation:
Let the average weekly salary of one employee be =x
And that of the other employee be = x+500
Such that if thier average of their salaries= $5250
So, their total salary= $5250 x 2=10,500
The equation to solve each employee salary becomes
x+x+500=10,500
2x+500=10,500
2x=10,500-500
2x=10,000
x=10,000 /2
x= first employee salary =$5000
second employee = x+500 =$5500
Find the equation of the line which passes through (0, 7) at a gradient of 3.
Answer:
y = 3x + 7
Step-by-step explanation:
Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7
So, y-intercept (b) = 7
Gradient (or slope m) = 3
Equation of line in slope intercept form is given as:
y = mx + b
Plugging m = 3 and b = 7 in the above equation, we find:
y = 3x + 7
This is the required equation of line.
Carla knows that, in order to use adjectives and adverbs more effectively, she needs to understand comparison. Which concepts below can help Carla expand her knowledge?
Each degree of comparison has its own suffix
The positive degree of comparison simply modifies the word and has no suffix
The comparative degree compares two things and uses the suffix –est
The superlative degree compares three things and uses the suffix -est
Answer:
Each degree of comparison has its own suffix..
Both the adjectives and adverbs are used to make comparisons. The comparatives and superlatives are also used in writing to hedge or to boost the language. Each degree of comparison has its own suffix. The correct option is A.
What is comparative degrees?The comparative form is used to compare two people, ideas or things. The superlative form with the word 'the' is used to compare three or more. The comparative adjectives are used to compare differences between the two objects they modify (larger, smaller, faster, higher).
The comparative form is used in the sentence where two nouns are compared. The comparative adjectives compare one person or the thing with another and enable us to say whether a person or thing has more or less of a particular quality.
One example of comparative adjective is that Josh is taller than his sister.
Thus the correct option is A.
To know more about comparative degrees, visit;
https://brainly.com/question/1301343
#SPJ3
Inscribed Angles B
Find each measure.
K
X=
6x
M
L
Answer:
x = 15
z = 25
Step-by-step explanation:
In [tex] \odot\: O, \: \angle MLK [/tex] is inscribed in a semicircle.
[tex] \therefore m\angle MLK =90\degree [/tex]
[tex] \therefore 6x\degree =90\degree [/tex]
[tex] \therefore 6x =90[/tex]
[tex] \therefore x =\frac{90}{6}[/tex]
[tex] \therefore x =15[/tex]
In [tex] \odot\: A, \: \angle PRQ[/tex] is inscribed in a semicircle.
[tex] \therefore m\angle PRQ =90\degree [/tex]
[tex] \therefore (4z-10)\degree =90\degree [/tex]
[tex] \therefore 4z-10 =90[/tex]
[tex] \therefore 4z =100[/tex]
[tex] \therefore z =\frac{100}{4}[/tex]
[tex] \therefore z =25[/tex]
Explain what median is and how to solve for it
Answer: See below
Step-by-step explanation:
Median is the value that separates the higher data and lower data. In simple terms, it is the "middle" value of the whole set of data. There are two different ways to solve for the median.
1. If the data set has an odd number of values, line the values up in increasing order. Then the value or number that lies in the middle will be the median.
For example, if we are given a data set {1, 3, 4, 2, 5}. First, we line them up by increasing order, which becomes {1, 2, 3, 4, 5}. Since it is an odd number set, we can directly get the median which is 3.2. If the data set has an even number of values, line the values up in increasing order. Then there will be two number that lies in the "middle" together. We add them up and divide them by 2. The average of the two numbers will be the median of the set.
For example, if we are given a data set {2, 6, 4, 10, 8, 12}. First, we line them up by increasing order, which becomes {2, 4, 6, 8, 10, 12}. Since it is an even number set, we get our median from the two numbers in the middle, which are {6, 8}. We add them together to get 14 and then divide by 2 which is 7. So the median will be 7.Hope this helps!! :)
Please let me know if you have any questions.
Is this linear, exponential growth, exponential decay, or neither?
Answer:
exponential decay
Step-by-step explanation:
the y coordinates are getting smaller while x gets bigger so for 1x y is .5 then .25 then .125 etc..
Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4
Answer:
[tex]3d^2+ 7d- 7[/tex]
Step-by-step explanation:
Given
[tex]P_1 = 5d^2 + 4d - 3[/tex]
[tex]P_2 = 2d^2 - 3d + 4[/tex]
Required
P1 less P2
This means that we subtract P2 from P1.
So, we have:
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]
Remove bracket
[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]
Collect like terms
[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]
[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]
The difference is: [tex]3d^2+ 7d- 7[/tex]
Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answer:
6
Step-by-step explanation:
Try to answer this question for me pleaseee
Answer:
H
Step-by-step explanation:
180-48=132
Pls help mark brainlist
Answer:
176
Step-by-step explanation:
88 * 2 = 176
What is the quotient of (x^3 + 8) divided by (x + 2)?
Answer:
(x^3 +8)/(x+2) = x^2 -2x +4
Step-by-step explanation:
One leg of a right triangle has a slope of -4. What is the slope of the other leg?
Answer:
Step-by-step explanation:
1/4. Two lines are perpendicular if -1/m1 = m2 where m1 and m2 are the slopes of which are perpendicular.
Please help I’ll mark you as brainliest if correct
Answer:
I think it is 75
Step-by-step explanation:
because you divide 45 by 3 to get 15 then 15 x 5 is 75:)
where is the whole number in 34.50
Answer:
34
Step-by-step explanation:
If x3=125 and y3=8, what is the value of y−x
Answer:
X= 5
Y= 2
Y-X= 2-5= -3
Check the pic please
With steps please
Answer:
Angle BOD = 75⁰
Step-by-step explanation:
Answer attached...
Hope it helps :)
Write 3 ratios equivalent to 2/5
Answer:
4/10, 6/15, 8/20
Step-by-step explanation:
Esteban wants to take out a $5,000 loan from the bank and is offered two choices. If he pays the loan back within 3 years, he will make monthly payments of $148.07. If he pays the loan back within 5 years, he will make monthly payments of $92.53. How much more will he pay in interest ifhe chooses the 5-year loan???
Answer:
ESTEBAN IS FOKING BROKE
Step-by-step explanation:
What is the area of this trapezoid?
Answer: 6625 sqaure yards
Step-by-step explanation:
Area for a trapezoid formula is A=(base 1 + base 2)·height÷2
So base one is 120 and base two is 10+120+15=145
and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625