Complete question is;
The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm and a standard deviation of 0.005 mm. A sample of 25 bushings is taken once an hour.
a. Within what range should 95 percent of the bushing diameters fall?
b. Within what range should 95 percent of the sample means fall?
c. What conclusion would you reach if you saw a sample mean of 4.020?
Answer:
A) (4.0252, 4.0448).
B) (4.0331, 4.0369).
C) If i saw a sample mean of 4.020, i would conclude that the sample came from a population that did not have a population mean equal to 4.035
Step-by-step explanation:
A) We know that an approximate 95% confidence interval for the item in question has a range of diameter given by the equation;
Range = x¯ ± 1.96σ
Now, since we have a mean of 4.035 mm and a standard deviation of 0.005 mm, we can solve;
Range of bushing diameter = 4.035 ± (1.96 × 0.005) = 4.035 ± (0.0098)
= 4.0252 or 4.0448 and it can be written as;(4.0252, 4.0448).
B) We also know that In the large-sample case, a 95% confidence interval estimate for the population mean is given by the formula;
CI = x¯ ± (1.96s/√n))
Thus, if we solve, we get;
CI = 4.035 ± (1.96 × 0.005 )/√25
CI = 4.035 ± 0.0019
or (4.0331, 4.0369).
c. If i saw a sample mean of 4.020, i would conclude that the sample came from a population that did not have a population mean equal to 4.035 because it doesn't fall into the range of confidence intervals we got earlier.
Why does the efficient market hypothesis reduce the demand for financial advisors?
Part of a financial advisor's job is to allocate money in the best available asset or security (eg: stocks and bonds). So they look at market data and use mathematical models to help judge on where to put money. Their goal is to so called "beat the market", meaning they want to earn the best return compared to other players in the market. Doing so will allow them to "buy low, sell high" which is a common cliche in finance. Though it's a very good rule to follow of course.
The efficient market hypothesis says that whatever the stock price is currently, it reflects everything about that company. In other words, there are no hidden facts that may surprise investors to drastically change the price of the stock. All information is completely transparent. What this means is that anyone can determine where to put their money without the need for a financial advisor.
I don't think demand would be completely wiped out since even if in a 100% transparent environment, people would still prefer to have others manage their money or not want to deal with complicated math formulas. However, demand would be reduced to some degree. In reality, there are always hidden factors that don't fully contribute to the cost of a security, which is why the efficient market hypothesis isn't fully applicable in every situation. So this is likely why financial advisors are in demand and are paid well.
Which of the following is equivalent to sec2θ−1sec2θ for all values of θ for which sec2θ−1sec2θ is defined?
Answer:
[tex]2 sin^2 \theta[/tex]
Step-by-step explanation:
According to the scenario, the following information is given:
[tex]= \frac{sec^2 \theta - 1 }{sec^2 \theta}[/tex]
[tex]= (\frac{1}{\frac{cos^2\theta}{\frac{1}{cos^2\theta} }} - 1)[/tex]
[tex]= 1 - cos^2\theta\\\\= 1 - (1 - 2 sin^2 \theta)\\\\= 2 sin^2 \theta[/tex]
Therefore for the given equation, the answer is [tex]2 sin^2 \theta[/tex]
Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1?
O f(x) = (x – 21)(x - 31)
O f(x) = (x +21)(x + 31)
f(x) = (x-2)(x - 3)(x - 21(x-31)
f(x) = (x + 21)(x + 3/)(x - 2)(x - 31)
Answer:
D. f(x)= (x+2i) (x+3i) (x-2i) (x-3i)
Step-by-step explanation:
Correct on edge 2020
The polynomial with a leading coefficient of 1 and roots 2i and 3i with multiplicity 1 is
f(x) = (x – 2i)(x - 3i)
Option A is the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
f(x) = (x - 2i)(x - 3i)
It has two roots of 2i and 3i with multiplicity 1.
x² - 3ix - 2ix - 6
x² - 5ix - 6
The leading coefficient is 1.
Thus,
f(x) = (x – 2i)(x - 3i) has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1.
Learn more about polynomials here:
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Question 11
Exit Ticket - This Thanksgiving, Grandma is looking for a DEAL on pies.
She knows that her family would eat either sweet potato pie or pumpkin pie. She has to make a
choice of buying pies. Which is better a better deal for Grandma?
A. 5 Sweet Potato Pies for $15.65
B. 6 Pumpkin Pies for $23.50
Answer:
A
Step-by-step explanation:
Because the cost per pie is less.
Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. Hint: use addition property of equality and multiplication property of equality in your answers 5x + 2y = 7 3x - y = 2 A. To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations B. Why is this multiplication allowed? C. What variable will be eliminated when the equations are combined after the multiplication? D. Next, add the equations together. Your answer should be a single equation with one variable. E. Why can you add the equations? F. Solve the equation for x. G. Substitute x back into one of the equations to solve for y. H. What is the solution to the system of equations?
Answer:
Explained below.
Step-by-step explanation:
The system of two equations is:
[tex]5x+2y=7...(i)\\\\3x-y=2...(ii)[/tex]
Step A:
To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations.
[tex]5x+2y=7\\\\6x-2y=4[/tex]
Step B:
The multiplication is performed to simplify the elimination process.
Step C:
The variable that will be eliminated when the equations are combined after the multiplication is y.
Step D:
Next, add the equations together. Your answer should be a single equation with one variable.
[tex]5x+2y=7\\ +\\6x-2y=4\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\11x=11[/tex]
Step E:
We can add the equation because both the equation are in the same format, i.e. ax + by = c.
Step F:
Solve the equation for x.
11x = 11
x = 1
Step G:
Substitute x back into one of the equations to solve for y.
[tex]5x+2y=7\\\\(5\times 1)+2y=7\\\\5+2y=7\\\\2y=7-5\\\\2y=2\\\\y=1[/tex]
Step H:
The solution to the system of equations is: (x, y) = (1, 1).
⦁ Explain how geologists determine the relative age of sedimentary rock layers in the Grand Canyon using Steno's Principle of Superposition? (5 points. Answer in at least 2 complete sentences.)
⦁ Explain why sedimentary rock layers of the North and South Rim(side) of the Grand Canyon are the same age, using Steno’s Principle of Lateral Continuity. (5 points. Answer in at least 2 complete sentences)
Answer:
go on PH release sum stress
Step-by-step explanation:
which pairs of ratios could form a proportion 6/9, 10/5
Answer:
for 6/9, 2/3 and 12/18 would work. For 10/5, 2/1 and 4/2 would work
Henry can write 5 pages of his novel in 3 hours. At this rate how many pages can Henry right in 8 hours?
Answer:
Henry can write 13 pages in 8 hours.
Step-by-step explanation:
Can integers be negative
Answer:
Yes! Integers can be negative! -3, -4, -9, -2... You name it!
Answer:
Yes! Integers are whole numbers so, that includes negative numbers! As an example [tex]\frac{4}{5}[/tex] is not an integer!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What is the slope of the line passing through the points (-3, 4) and (2, – 1)?
A = - 1
B = -5/3
C = 1
D = 3/5
Answer:
-1
Step-by-step explanation:
Slope (m) =y2-y1 / x2-x1
= - 1-4/2-(-3)
= - 5/2+3
= - 5/5
- 1
Find the area of a compound shape
Can you please explain
Answer:
[tex]A=292.53~m^2[/tex]
Step-by-step explanation:
Area of a Compound Shape
The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.
The area of a circle of radius r is:
[tex]A_c = \pi r^2[/tex]
The area of a triangle of base b and height h is:
[tex]\displaystyle A_t=\frac{b.h}{2}[/tex]
Calculate the area of the circle:
[tex]A_c = \pi 8^2[/tex]
[tex]A_c = 64\pi[/tex]
Area of half the circle:
[tex]A_c/2 = 32\pi~m^2[/tex]
Area of the triangle:
[tex]\displaystyle A_t=\frac{24\cdot 16}{2}[/tex]
[tex]A_t=192~m^2[/tex]
The area of the shaded shape is:
[tex]A=32\pi~m^2+192~m^2[/tex]
Substituting the value of pi:
[tex]\mathbf{A=292.53~m^2}[/tex]
Calculating the Sales Tax at Store B Store A Store B How much sales tax will be charged at Store B? Computer Repair $1,200 $1,350 Sales Tax 6% 7% Gratuity 15% 15% Shipping Free 2% of total price
I'll mark brainleiest whoever answers.
Answer:it’s 94.50
Step-by-step explanation: 7% of 1350 is 94.50 on edge
The function ƒ(x) is a translation of the exponential function g(x) = 6x. What's ƒ(x) if the translation is down 3 units and right 7 units?
Answer:
f(x) = 6ˣ⁻⁷-3
Step-by-step explanation:
The basic transformations of an exponential function from the parent function can be given by the equation:
f(x) = b^x [parent exponential function]
f(x) = ab^((x/c)-h) + k [transformation of parent exponential function]
Where b is the parent growth or decay, a is the vertical stretch or compression, c is the horizontal stretch or compression, h is the horizontal translation, and k is the vertical translation.
Given a translation down 3 units, and another translation right 7 units, we are only using h, and k.
Given that our original function is g(x) = 6ˣ. We know our parental growth or b is 6. So just substitute our quantities and solve:
f(x) = g(x-7) - 3 → (1)6^((x/1)-7) - 3 → 6^(x-7) - 3 → 6ˣ⁻⁷-3.
Answer:
f(x) = 6ˣ⁻⁷-3
Step-by-step explanation: I took the test
Every female rabbit has 5 baby rabbits. What is the constant of proportionality for the ratio of baby rabbits to female rabbits? one-fourth 5 4 one-fifth
Answer:
The constant of proportionality is for every i female rabbit there is 5 baby rabbits so the constant of proportionality is 1:5
Step-by-step explanation:
Answer:It is 1:5
Step-by-step explanation: One mother gives 5 bunnies, so you would multiply both. 1 mother, 5 bunnies, 1:5. Glad to help!
Each runner is carrying an 8 ounce bottle of water, a 2.1 ounce energy bar, and a 3 ounce energy drink. Write an expression in simplest form that represents the weight carried by y runners. Interpret the expression.
Answer:
13.1y
Step-by-step explanation:
;-; I'm sorry if I'm wrong
Bri opened a lemonade stand on her street. It costs her $11.00 to buy the supplies each day, and she sells lemonade for $2.00 a cup. If she wants to make at least $75.00 in profits (sales - expenses) each day, what is the minimum number of cups of lemonade Bri needs to sell? Input your answer as a whole number.
Answer:
Bri would need to sell a minimum of 43 cups of lemonade.
Step-by-step explanation:
Choose the product. -7p 3(4p 2 + 3p - 1)
Answer:
14p -3
Step-by-step explanation:
-7p 3(4p 2+3p - 1)
3x4= 12p
3x3=9p
12+9= 21
21-7=14p
3x2=6
3x-3=-9
-9 +6= -3
= 14p -3
hope this helps :)
if u want brainliest.... HELP MEEE
plz?
Answer:
23\43
Step-by-step explanation:
first you copy dot flip you subtract the numeerater and the denominator witch give you the anserw 23\43
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Which inequality is a true statement?
Select each correct answer
–4= -5
O-
4-5
-4 < -5
-4 2-5
-4 < -5
Answer:-4 > -5
Step-by-step explanation:
Answer:
b -4 <-5
Step-by-step explanation:
From 15 degrees to 21 degrees
I played 5 hours of video games over a 3 day weekend, and 60 hours of video games in the month
of April. Determine whether or not the ratios are equivalent. Explain your reasoning.
Answer:
The ratios are not equivalent
Step-by-step explanation:
First, in order to find the ratios, we have to change the month to the amount of days.
There are 30 days in April, so we will use this for the ratio.
The ratio for the 3 day weekend is 5:3
The ratio for the month of April is 60:30, which can be simplified to 2:1
So, the ratios are not equivalent, because 5:3 is not equal to 2:1
Item 10
Convert 514% to a decimal.
Enter you answer in the box below.
Answer:
5.14
Step-by-step explanation:
3 Rapididentity
Find the value of x.
(3x + 1)(x + 19)
s
can u pls help me with this question
Answer:
7.65
Step-by-step explanation:
The total cost for 8 is 20.40, so you want to find what the cost for one panel is by dividing the total cost by the amount, which would be 20.40/8=2.55 then you want to know how much 3 of them cost, to find that you just multiply the cost of one of them by three, which would be 7.65
True or False? 6 ab and 4 ba are like terms
What is the value of 1/3 + 3/4
Answer:
13/12 or 1 1/12
Step-by-step explanation:
find the common denominator
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!
A rectangular garden has a perimeter of 320 feet. The length of the garden is 8 feet longer than the width. What is the width of the garden? (hint: substitution method)
Please show how to find the answer to (-0.6)-(7.6)=?
Answer:
-8.2
Step-by-step explanation:
(-0.6) - (7.6)
-0.6 -7.6 = -8.2
When there are two negatives, you add them together to get your negative answer.
Toru takes his dog to be groomed. The fee to groom the dog is $75 plus 6.75% tax. Is $80 enough to pay for the service? explain