Answer:
a) 70,663.57< [tex]\overline x[/tex] < 113,680.43
b) The sampling distribution of the means is expected to be approximately normal given that n > 30
Step-by-step explanation:
The given parameter of the study are;
The number of reports in the study, n = 75 reports
The average debt, [tex]\overline x[/tex] = $92,172
The standard deviation, Sₓ = $111,538
a) A one-sample t confidence interval is given as follows;
The Degrees of Freedom, df = n - 1 = 75 - 1 = 74
[tex]C.I, = \overline x \pm t^* \cdot \dfrac{S_x}{\sqrt{n} }[/tex]
[tex]t^*[/tex] = The critical t, at 95% confidence level = 1.67
Therefore, we have;
[tex]C.I, = 92,172 \pm 1.67 \cdot \dfrac{111,538}{\sqrt{75} }[/tex]
Therefore, we have;
[tex]C.I, = 92,172 \pm 1.67 \cdot \dfrac{111,538}{\sqrt{75} }[/tex]
C.I. = (92,172 ± 21,508.43)
Therefore, the 95% one-sample t confidence interval for the average debt of the companies at the time of filing, C.I. = 70,663.57< [tex]\overline x[/tex] < 113,680.43
b) The defense for using the t confidence interval in the question is supported that the fact that the sample size is larger than 30 (n = 75) the sampling distribution of means will be approximately normal and the population mean will be between the confidence interval for the mean.
Upon studying low bids for shipping contracts, a microcomputer manufacturing company finds that intrastate contracts have low bids that are uniformly distributed between 23 and 29, in units of thousands of dollars. (a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000. (Round your answer to four decimal places.) (b) Find the probability that the low bid on the next intrastate shipping contract is in excess of $28,000. (Round your answer to four decimal places.)
Answer:
a) 0.3333 = 33.33% probability that the low bid on the next intrastate shipping contract is below $25,000.
b) 0.1667 = 16.67% probability that the low bid on the next intrastate shipping contract is in excess of $28,000.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b.
The probability of finding a value lower than x is given by:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniformly distributed between 23 and 29
This means that [tex]a = 23, b = 29[/tex]
(a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000.
[tex]P(X < 25) = \frac{25 - 23}{29 - 23} = 0.3333[/tex]
0.3333 = 33.33% probability that the low bid on the next intrastate shipping contract is below $25,000.
(b) Find the probability that the low bid on the next intrastate shipping contract is in excess of $28,000.
[tex]P(X > 28) = \frac{29 - 28}{29 - 23} = 0.1667[/tex]
0.1667 = 16.67% probability that the low bid on the next intrastate shipping contract is in excess of $28,000.
HELP ME PLEASE HERE IS THE IMAGE I NEED THE HELP PLEASE
Answer:
6
Step-by-step explanation:
when the imposter is sus
Answer:
The answer is 6
Step-by-step explanation:
You have to add all of them together and then divide the number you get with how many number there are.
In the linear equation y = -6x - 4, the y-intercept is:
-6
6
-4
4
Answer:
The second one
4/5 is next to x
And the y intercept is NEGATIVE 6 or (-6)
Step-by-step explanation:
How many ways can 3 crayons be selected from a
box of 24 crayons to color a picture?
Answer:
12144 ways
Step-by-step explanation:
24×23÷22= 12144
Expand and combine like terms: (2x^3+4x^5)^2=
Answer:
16x^10+16x^8+4x^6
The expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10[/tex].
when we combine all the like terms.
To expand and combine like terms for the expression [tex](2x^3 + 4x^5)^2,[/tex] we need to square each term inside the parentheses and then combine like terms.
Using the FOIL method (First, Outer, Inner, Last) to multiply the terms, we have:
[tex](2x^3 + 4x^5)^2 = (2x^3)^2 + 2(2x^3)(4x^5) + (4x^5)^2[/tex]
Simplifying each term:
[tex](2x^3)^2 = 4x^6\\2(2x^3)(4x^5) = 16x^8\\(4x^5)^2 = 16x^10[/tex]
Combining like terms, we have:
[tex](2x^3 + 4x^5)^2 = 4x^6 + 16x^8 + 16x^10[/tex]
Therefore, the expanded and simplified form of [tex](2x^3 + 4x^5)^2[/tex] is [tex]4x^6 + 16x^8 + 16x^10.[/tex]
To know more about "expression." here
https://brainly.com/question/1859113
#SPJ2
Full Question
Expand and combine like terms: (2x^3+4x^5)^2 by simplication.
(No graph needed)
Geometry!! Will give brainliest
it's the second one.
slope of the line perpendicular to the line whose equation is −2x + y = −3
Answer:
What is the slope of a line perpendicular to the line whose equation is 2x+y=3?
Step-by-step explanation:
-1/2
Step-by-step explanation:
perpendicular slopes are the opposite reciprical
so you basically flip it and change the sign
I hope this helps :)
Answer:B
Step-by-step explanation:
What is the slope of the line that contains these points?
х
15
17
19
21
10 2
14
26
Answer:
6
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Any pair of points will do. We can use the first two.
m = (2 -(-10))/(17 -15) = 12/2
m = 6
The slope of the line is 6.
NEED HELP ASAP FREE BRAINLIST
Answer:
G
Step-by-step explanation:
Answer:
The answer is H
Step-by-step explanation:
Pls someone help me with this question pls
Answer:
[tex]p =\frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]
Required
Probability of assigning a nonagon
From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon
This means that:
[tex]n = 6[/tex] --- Total
[tex]Nonagons = 1[/tex]
So, the probability, p is:
[tex]p =\frac{Nonagons}{n}[/tex]
[tex]p =\frac{1}{6}[/tex]
which is an equation of a line through (7,1) and perpendicular to y=-x+3
Answer:
The answer is y=-1x+8 or you can write it this way y=-x+8 either way will work fine.
Step-by-step explanation:
y=mx+b
m=-1
y-y=m(x-x¹)
y-1=-1(x-7)
y-1=-1x+7
+1 +1
y=-x+8
I hope this helps:)
A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?
Please explain
add 12 with 16 by 20 it gives you 48 cubic inches
12 +16+20=48 cubic inches
5x-y>4 what does y equal
Answer:
y < -4 + 5x
Step-by-step explanation:
Another game you’ve set up at casino night involves rolling a fair six-sided die followed by tossing a fair coin. In this game, players earn points depending on the number they get on the die and which side of the coin turns up. For example, the player earns 5 points for getting (2, tails) Question 3 Find the probability that tails and an even number do not occur together.
Answer:
The probability that tails and an even number do not occur together is 3/4.
Step-by-step explanation:
There are three outcomes in which tails occurs with an even number (2, tails), (4, tails), (6, tails). The probability of this event is 3/12 = 1/4 . The probability that tails and an even number do not occur together is 1 - 1/4 = 3/4.
Answer:
Sample answer for Edmentum
Step-by-step explanation:
The equation of the line that contains the points (-8, 1) and (0, -5) is
Answer:
y = -3/4x -5 (G)
Step-by-step explanation:
Find the slope by using the slope formula. (It's hard to format here so look it up)
Basically, it is y2 - y1/x2 - x1
-5 - 1/ 0 + 8
-6/8 = -3/4
The slope is -3/4.
Plug in for y = mx + b
y (y coordinate) = -5
x (x coordinate) = 0
slope (m) = -3/4
-5 = -3/4(0) + b
-5 = 0 + b
b = -5
y = -3/4x -5
7. An equilateral triangle has sides of length 6.2cm, correct to the nearest millimetre.
Complete the statement about the perimeter, Pcm, of the triangle.
Does anyone know ? ;-;
Answer:
[tex]y=\frac{3}{2}x+8[/tex]
Step-by-step explanation:
[tex]y=mx+b\\[/tex]
slope=m
[tex]y=-\frac{2}{3} x-1[/tex]
slope=[tex]-\frac{2}{3}[/tex]
slope=[tex]\frac{3}{2} ,(-4,2)[/tex]
[tex]y-y_{1} =m(x-1)\\\\y-_{2} =\frac{3}{2} (x-4)\\\\y-2=\frac{3}{2} x+6\\[/tex]
Add 2 to both sides
[tex]Answer:y=\frac{3}{2} x+8[/tex]
hope it helps!!
A new car is purchased for $49,000 and over time its value depreciates by one half
every 7 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $32, 200?
Answer: t≈ 4.2
Step-by-step explanation:
A right rectangular prism has a volume of 3536 cubic feet, and the length 8 of the base of the prism is 9 feet longer than its width. The height of prism is 26 feet. What are the dimensions of the base of the prism?
Answer:
Base = 8 * 17
Step-by-step explanation:
(Not sure what the "8" is, assuming an accidental input.)
Base area = 3536/26 = 136
136 = Lw
L = 136/w
L = w + 9
136/w = w + 9
136 = w(w + 9)
136 = w² + 9w
w² + 9w - 136
(w + 17)(w - 8)
Only use the positive result. w = 8
L = 8 + 9 = 17
Edit: Maybe 8 is the answer accidentally included in the question?...
Helpmate!!!!!!!!!!!!!!!!!
Answer:
$150
Step-by-step explanation:
Answer:
The answer is $150
Step-by-step explanation:
My friend had this question and told me the answer
Evaluate f(x)=5x−8 when x=−3,0, and 4 PLS ANSWER FAST :D
Answer: -23, -8, 12
Step-by-step explanation:
f(x)=5x−8
When x=−3,
f(-3)=5(-3)−8 = -15-8 = -23
When x=0,
f(0)=5(0)−8 = -8
When x=4,
f(4)=5(4)−8 = 20-8=12
Sally can paint a room in 8 hours while it takes Steve 6 hours
Answer:
Step-by-step explanation:
Sally paints ⅛ of a room per hour.
Steve paints ⅙ of a room per hour.
Working together, they paint ⅛ + ⅙ = 7/24 of the job per hour, finishing in 24/7 hours.
someone please help me asnwer this!!
Answer:
okokokokokoo9i876t5rew
Step-by-step explanation:
4s3a468
simplifly the expression
5^-4x5^2
Answer:
5^-2
Step-by-step explanation:
When you multiply exponents, you can add them if they have like bases.
-4 + 2 = -2
Answer:
It would be x over 25
Will mark brainlest Thanks
Answer:
the answer is d
Step-by-step explanation:
WILL GIVE BRAINLIEST
35% of students enrolled in collage are freshmen. if the total enrollment of the collage is 2800, how many of the students are freshmen?
Answer:
980 students are freshmen.
Step-by-step explanation:
2800*.35=980
9 m
c) radius =
diameter =
Answer:
radius is 9 m and diameter is 2 x9 = 18
A pilot can travel 450 miles with the wind in the same amount of time as 396 miles against the wind. Find the speed of the wind if the pilot's speed in still air is 329 miles her hour.
Bao is driving to a concert and needs to pay for parking. There is an automatic fee of
$6 just to enter the parking lot, and when she leaves the lot, she will have to pay an
additional $2 for every hour she had her car in the lot. How much total money would
Bao have to pay for parking if she left her car in the lot for 5 hours? How much would
Bao have to pay if she left her car in the lot for t hours?
Answer:
16
Step-by-step explanation:
6+2(t) --> 6+2(5) --> 6+10=16