The tread life on tires produced at one factory has a standard deviation of sigma equals 4 comma 000 miles. What is the standard deviation of the sampling distribution of the sample means given the sample size is 4

Answers

Answer 1

Answer:

[tex]\sigma_x = 2000[/tex]

Step-by-step explanation:

Given

[tex]\sigma = 4000[/tex]

[tex]n = 4[/tex]

Required

The sample standard deviation

The sample standard deviation cannot be calculated directly. However, we can use the value of standard error because standard error approximates to sample standard deviation.

So, we have:

[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]

[tex]\sigma_x = \frac{4000}{\sqrt 4}[/tex]

[tex]\sigma_x = \frac{4000}{2}[/tex]

[tex]\sigma_x = 2000[/tex]

Hence, the sample standard deviation is 2000


Related Questions

List two numbers that are divisible by 9?

Answers

Answer:

3, 6, 12, 15

Step-by-step explanation:

3/12= 4

3/9= 3

A cooking teacher needs to give each student in his class three eggs to use in a recipe. There are 44 students in the class. How many dozens should the teacher buy?

Answers

Answer:

11

Step-by-step explanation:

Multiply 44 by 3 to get the amount of eggs you need total, then divide it by 12 for each dozen of cartons you’ll need to buy. The end result is 11.


Yvonne ran up 1/4 of the total flights of staris in an office building and walked up the rest of she
walked up 9 flights of stairs, how many flights did she run up?
3
9
12
27
36

Answers

Yvonne ran up 12 flights of stairs.

Explanation:
Understand the situation:

Yvonne ran up 1/4 of the total stairs. Afterwards, she walked the REST of the stairs, which is said to be 9 STAIRS. HOW MANY flights of stairs IN TOTAL did she run up?

When she ran the REST of the stairs, it meant she ran the other 3/4 of stairs because:
1 - 1/4 = 3/4

To add someting, that means that the 9 stairs is 3/4 of the total stairs, so lets fins the total stairs using this information:
9 ÷ 3/4 = 12

LETS CHECK IF 9 IS REALLY 3/4 of 12:
12 x 3/4 = 9

HOPE THIS HELPS
-SpaceMarsh

In a group of students. 20 study Account. 21 Study mathematics 18 study history 7 study account only 10 study mathematics only 6 study account and mathematics only and 3 study mathematics and history only.how many student are there altogether

Answers

Answer:

In total there are 50 students.

Step-by-step explanation:

Since in a group of students 20 study account, 21 study mathematics, 18 study history, 7 study account only, 10 study mathematics only, 6 study account and mathematics only and 3 study mathematics and history only, to determine how many student are there altogether the following calculation must be performed:

7 + 10 + 6 + 3 = 26

Account = 20 - 7 - 6 = 7

Mathematics = 21 - 10 - 6 - 3 = 2

History = 18 - 3 = 15

26 + 7 + 2 + 15 = X

50 = X

Therefore, in total there are 50 students.

I NEEED HELP ASAP PLEASE

Answers

Answer:

17.6

Step-by-step explanation:

19sin(68) = 17.6

What is The sum of b and 11

Answers

B+11 ? I’m not sure is this high school math ?

f(-5)=
Pls help i will mark the brainliest!

Answers

Answer:

f(-5)=7

Step-by-step explanation:

Because y=f(x) so f(-5) means x=-5.

Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7

Answer:

7

Step-by-step explanation:

Go to - 5 along the x axis.

When you hit the blue, go straight across until you hit the number on the y axis.

That number is 7

AD=3, BD=5, AE=4. Find CE

Answers

Answer:

6.6

Step-by-step explanation:

Triangles ADE and ABC are similar.

Therefore,

AD/AB=AE/AC

3/8=4/AC

3AC=32

AC=10.6(3 s.f)

CE=10.6-4=6.6

A group of 12 friends bought tickets for an afternoon concert. However, not all of the friends were able to sit together. Tickets for floor seats cost $15 each, and tickets for tier seats cost $70 each. The total cost of the tickets was $345. How many tickets for tier seats did they purchase

Answers

Answer:

3 tier seats tickets

Step-by-step explanation:

Let the friends that bought floor seats be x and let the friends that bought tier seats be y.

Thus;

x + y = 12 - - - (eq 1)

Floor seats tickets cost $15 each, and tier seats tickets cost $70 each. The total cost of the tickets was $345. Thus;

15x + 70y = 345 - - - (eq 2)

Let's make x the subject in eq (1)

x = 12 - y

Putting this for x in eq 2 gives;

15(12 - y) + 70y = 345

180 - 15y + 70y = 345

55y = 345 - 180

55y = 165

y = 165/55

y = 3

Put 3 for y in x = 12 - y to get;

x = 12 - 3

x = 9

Thus, they purchased 9 floor seats tickets and 3 tier seats tickets

Which of the following is equal to the rational expression
below when x+2 or 9?
4(x - 2)
(x - 2)(x-9)

Answers

Answer:4/x-9

Step-by-step explanation:

Let f (x) = 2x^2 – 7and g(x) = 3x + 1.
Find f (g (-2)).
f(g(-2)) =

Answers

Step-by-step explanation:

g(-2)=3(-2) +1= -6 + 1= -5

f(g(-2))=f(-5)= 2(-5)^2 -7

=2(25) -7

=50-7

=43

For the given values of n and d, find integers q and r such that n = dq + r and 0 ≤ r < d. n = −67, d = 8

Answers

Answer:

[tex]q = 8[/tex]

[tex]r = 3[/tex]

Step-by-step explanation:

Given

[tex]n = dq + r[/tex]

[tex]0 \le r < d[/tex]

[tex]n = 67[/tex] --- not -67

[tex]d = 8[/tex]

Required

Find q and r

Substitute values for d and b

[tex]n = dq + r[/tex]

[tex]67 = 8 * q + r[/tex]

[tex]67 = 8q + r[/tex]

Make q the subject

[tex]q = \frac{67 - r}{8}[/tex]

[tex]0 \le r < d[/tex] means that r is less than 8 but greater than or equal to 0

And r and q are integers.

Let [tex]r = 3[/tex]

[tex]q = \frac{67 - 3}{8}[/tex]

[tex]q = \frac{64}{8}[/tex]

[tex]q = 8[/tex]

No other true values of r and q can be gotten.

what are the domain and range of this function

Answers

Answer:

The domain is all real numbers

The range is y ≥ -8

Step-by-step explanation:

The domain is the values that x can take

The domain is all real numbers

The range is the values that y can take

The range is y ≥ -8

Use the correct function to find the missing angle y measurement to the
nearest whole degree. Then using the checkboxes, select the function you
used, and the answer you found rounded to the nearest degree. (SELECT
2 ANSWERS - READ CAREFULLY) Work points are build into the results. *
18 in
yo
20 in.
Cos
Tan
64 degrees
Sin
42 degrees
26 degrees

Answers

Answer:

Cos;

26 degrees

Step-by-step explanation:

Recall: SOH CAH TOA

Reference angle = y°

Adjacent side = 18 in.

Hypotenuse = 20 in.

We would apply the trigonometric function CAH since we are dealing with the Adjacent side (A) and the Hypotenuse (H). Thus:

Cos y° = Adj/Hyp

Cos y° = 18/20

Cos y° = 0.9

y° = cos^{-1}(0.9)

y = 25.8419328° ≈ 26 degrees (nearest whole degree)

The answers are:

Cos and 26 degrees

The formula A(t) = 756e^(0.035)t models the growth of an investment due to continuously compounded interest. What does 0.035 stand for?
A) the numbers of years since the initial investment
B) the amount after t years
C) the initial amount invested
D) the interest rate

Answers

Answer:

D) the interest rate

Step-by-step explanation:

The formula for continuously compounded interest is [tex]A(t)=Pe^{rt[/tex] where [tex]P[/tex] is the principal/initial value, [tex]r[/tex] is the interest rate in decimal form, and [tex]t[/tex] is the amount of time since the initial investment. In this case, [tex]r=0.035[/tex] would be an annual interest rate of 3.5% per year.

HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

No solution

Step-by-step explanation:

Given

[tex]|x| = -1[/tex]

Required

The solution

The above equation has no solution.

This is because [tex]|x| \ge 0[/tex]

In otherwords, the absolute value of a number is always positive.

what are the two types of probability​

Answers

Answer:

The two "types of probability" are: 1) interpretation by ratios, classical interpretation; interpretation by success, frequentist interpretation. The third one is called subjective interpretation.

Sydney is cutting the crust from the edges of her sandwich. The dimensions, in centimeters, of the sandwich is shown.

Answers

I can’t see the format it’s not showing up

Answer:

The answer is B) x = 8x² + 34; 45.52 centemiters

Step-by-step explanation:

Which type of equation can be used to model the data in the table below?

0 1 2 3
2 6 18 54
exponential
quadratic
linear
constant

Answers

An exponential equation can be used to model the data in the table below.

The correct option is A.

What is an exponential function?

Mathematical functions with exponents include exponential functions. f(x) = abˣ, where b > 0 and b 1, is a fundamental exponential function.

Given:

x = 0   1  2  3

y = 2  6  18  54

From the above data points:

The common ratio of the function,

6/2 = 3

18/6 = 3

54/18 = 3

Therefore, the function is exponential.

To learn more about the exponential:

https://brainly.com/question/14344314

#SPJ1

if 4+1=17
5+2=27
6+3=42
8+4=88
then 9+5=?​

Answers

Answer:

127

Step-by-step explanation:

by............doing this .

Rewrite the equation by completing the square.
4x² + 20r + 25 = 0
(x+...)^2=...

Answers

Answer:

The equation [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex] is equal to [tex]\left(x + \frac{5}{2} \right)^{2} = 0[/tex].

Step-by-step explanation:

Let be the equation [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex], we proceed to rewrite the equation solely by algebraic means:

1) [tex]4\cdot x^{2} + 20\cdot x + 25 = 0[/tex] Given

2) [tex](2\cdot x)^{2} + 10\cdot (2\cdot x) + 25 = 0[/tex] Definition of power/Associative property

3) [tex](2\cdot x + 5)^{2} = 0[/tex]   Perfect square trinomial

4) [tex]2^{2}\cdot \left(x + \frac{5}{2} \right)^{2} = 0[/tex] Distributive property/[tex](a\cdot b)^{c} = a^{c}\cdot b^{c}[/tex]

5) [tex]4\cdot (x + \frac{5}{2} )^{2} = 0[/tex] Definition of power

6) [tex]\left(x + \frac{5}{2} \right)^{2} = 0[/tex] Compatibility with multiplication/Commutative and modulative properties/[tex]a\cdot 0 = 0[/tex]

Tasta's bank account was. She deposited a check into her bank account and her new total is. How much was the check that Tasta deposited into her account?

Answers

Answer:

Step-by-step explanation:

New Total equals Previous Total plus the Check value

New Total minus Previous Total   equals   the Check value

Her new total is  -  Tasta's bank account was = Check value

2% of 200 restaurant reviews were negative. How many reviews were negative?

Answers

Answer:

4

Step-by-step explanation:

mark me brainliest pls :)

Find the distance between the points (0, -3) and (4, 0).

A. 7
B. 1
C. 25
D. 5​

Answers

9514 1404 393

Answer:

  D.  5

Step-by-step explanation:

The distance formula is good for finding the distance between two points.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -0)² +(0 -(-3))²) = √(16 +9) = √25

  d = 5

The distance between the points is 5 units.

_____

You may notice that the line between the points makes a 3-4-5 right triangle with the coordinate axes.

Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed? DO NOT ANSWER JUST TO STEAL MY POINTS!!

Answers

Answer:

70 feet

Step-by-step explanation:

Given

[tex]Sides: 23ft, 15ft, 32ft[/tex]

Required

The tape needed

This implies that we calculate the perimeter (P)

This is calculated as:

[tex]P = \sum sides[/tex]

So:

[tex]P = 23ft +15ft + 32ft[/tex]

[tex]P = 70ft[/tex]

Answer:

dude why does it say your in college?!?

Step-by-step explanation:

Also I DON'T KNOW just kidding um before some fork tard deletes my answer Hi how are you????

Answer to the question

Answers

Answer:

x = 4

Step-by-step explanation:

180 = 102 + 24x - 18

102 - 18 = 84subtract 84 from both sides96 = 24xdivide both sides by 44 = x

PLEASE HELP WILL MARK YOU IF YOU HELP ME

Answers

Answer:

b + 79 =180

b =180-79

=101


180-79 = 101

The reason why we put 180 because a straight line is equal to 180 degrees

The summit of a volcano is 5 kilometers (km) above sea level, as shown below.
If the ocean floor has an elevation of -5 kilometers, which statement describes
the distance of the summit and the ocean floor?
It's not 0 or 5

Answers

Well 5 is -10 km away from -5. We can further prove this by adding -5 + 10, giving us 5. Answer is 10!

Graph and show work hurry plsss
y=179x
Y=105x+2046

Answers

Answer:

y=179x

Y=105x+2046

Step-by-step explanation:

for what values of x are these functions defined x - 1

Answers

Answer:

The function is defined for all real numbers.

which can be denoted as >> R

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