2. One important factor in inventory control is the variance of the daily demand for a product. Management believes that demand is normally distributed with the variance equal to 250. In an experiment to test this belief about , the daily demand was recorded for 25 days. The data has been summarized as follows: xbar = 50.6 and s2 = 500 Do the data provide sufficient evidence to show that management's belief about the variance is untrue? (Use alpa=0.01 ).

Answers

Answer 1

Answer:

we reject H0 and conclude that management's belief about variance is untrue.

Step-by-step explanation:

H0 : σ² = 250

H1 : σ² ≠ 250

Sample size, n = 25

xbar = 50.6 ; s² = 500

α = 0.01 ;

The test statistic :

χ² = [(n - 1)s²] ÷ σ²

χ² = [(25 - 1)* 500] ÷ 250

χ² = (24 * 500) / 250

χ² = 12000 / 250

χ² = 48

The critical value:

df = n-1 ; 25 - 1 = 24

χ²(0.01/2 ; 24) = 45.559

Decison :

Reject H0 : if |χ² statistic| > critical value

Since 48 > 45.559

Hemce, we reject H0 and conclude that management's belief about variance is untrue.


Related Questions

Please help me solve this math it’s due in 1 hour

Answers

If you count over left you get 7.5. Then count right thrashed amount & you get 15.
15 yard line would be the answer.

Translate this sentence into an equation. 59 decreased by Vanessa's score is 7. Use the variable v to represent Vanessa's score. ​

Answers

So, Vanessa's score = v. Let's work from there.

We know that 59 is decreased by Vanessa's score, which is subtraction, and thus: 59 - v

Then, we're told that that quantity is 7. "Is" can be used in place of an equals sign: = 7

Therefore, our equation is as follows: 59 - v = 7

Hope this helps!! :)

If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)?
–84

Answers

Answer:

hmm very diffecult.

Step-by-step explanation:

if f (x) = StartRoot

A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?

A- 1/5 minute/boards
B- 5/1 boards/minutes
C- 5/25 minutes/boards
D- 25/5 boards/minutes

Answers

Answer:

B- 5/1 boards/minutes

Step-by-step explanation:

Unit rate is the number of circuit boards a minute:

25 boards every 5 minutes >> 25/5 boards every 5/5 minutes >> 5/1 boards/minutes

Correct choice is B

Question 8 (1 point)
At your high school, you are trying to determine the probability that a student takes
Spanish given that the student is taking Marketing. Which of the following
statements explains how to BEST gather the data to determine this probability?

Determine the number of students taking Marketing, the number of students
taking Spanish, the total number of students, and the distribution of students.

Survey students taking Marketing to determine how many also take Spanish.

Survey students taking Spanish to determine how many also take Marketing.

Determine the number of students taking Marketing, the number of students
taking Spanish, and the total number of students.

Answers

Probly the first one it looks right

In the month of September, a bird population increased by a factor of 1.25 every day for those 30 days. The function below shows the number of birds, f(x), after x days:

Answers

Answer:

0 ≤ x ≤ 30

Step-by-step explanation:

In the month of September, a bird population increased by a factor of 1.25 every day for those 30 days. The function below shows the number of birds, f(x), after x days:

f(x) = 250(1.25)ˣ

Which of the following is a reasonable domain for the function?

0 ≤ x ≤ 250

0 ≤ x ≤ 30

All positive integers greater than 100

All real numbers

Solution:

Given that f(x) = 250(1.25)ˣ, where x is the number of days and f(x) is the population of the birds after x days. This means that at the beginning of the month of September (i.e. at x = 0), the population of the birds was 250. And as each day goes by, the population of the bird increases by a factor of 1.25.

The domain of a function is the set of all possible independent variables. In this case the number of days (x) is the independent variable. Since in the month of September there are 30 days, therefore the domain is:

0 ≤ x ≤ 30


[tex] \sqrt[3]{( - 64)} [/tex]

Answers

Answer:

[tex]-4[/tex]

Step-by-step explanation:

Step 1: Apply the rule

[tex]\left(-64\right)=-64\\\\=\sqrt[3]{-64}[/tex]

Step 2: Apply the radical rule

[tex]\sqrt[3]{-64}=-\sqrt[3]{64}\\\\=-\sqrt[3]{64}[/tex]

Step 3: Factor the number

[tex]\:64=4^3\\\\=-\sqrt[3]{4^3}[/tex]

Step 4: Apply the radical rule

[tex]\sqrt[3]{4^3}=4\\\\=-4[/tex]

Therefore, [tex]\:\sqrt[3]{\left(\:-\:64\right)}\:=\:-4[/tex]

Answer:

-4

Step-by-step explanation:

how do i find the surface area of the sphere??

Answers

Answer:

98 π R

Step-by-step explanation:

Surface area of sphere = 4 π R²

= 2 π R × 2 R

= 49 π × 2 R

= 98 π R

A woman weighs herself. Her mass is 43.4 kg and she is trying to increase .She successfully increases her mass by 8%. a) Work out the increase in her mass. b) Work out her new mass.

Answers

Answer:

Increase in her mass = 3.472 kg

Her new mass = 46.872 kg

Step-by-step explanation:

Her original mass = 43.4 kg

Percentage increase in her mass = 8%

Increase in her mass = 8% of 43.4 kg

= 8/100 * 43.4 kg

= 0.08 * 43.4 kg

= 3.472 kg

Increase in her mass = 3.472 kg

b) Work out her new mass

Her new mass = Her original mass + Increase in her mass

= 43.4 kg + 3.472 kg

= 46.872 kg

Her new mass = 46.872 kg

PLSS HELP ME BO LINKSSS

Answers

Answer:

x=5.657 or because rouded 5.7

Step-by-step explanation:

ill give explaniation if want

Answer:

(I don't understand 36 sorry, but I can help you with 35)

C. 5.7 feet

Step-by-step explanation:

35. This question is asking you to use the pythagorean theorem, this is the formula:

a² + b² = c²

--------

So we know the lengths of a and b,

a² = 16

b² = 16

We add those together:

16 + 16 = 32

-------

The next step is to calculate [tex]\sqrt{32}[/tex]

[tex]\sqrt{32}[/tex] ≈ 5.7

------

Have a good day :)

I need help with this question

Answers

-3 -12 -5 in that order

Answer:

-3

-12

-33

Step-by-step explanation:

sorry if i m wrong.

Juan tiene que salir de su casa a estrenar futbol 20 minutos antes de las 4 PM. Escribe 4 formas diferentes de decir esa hora

Answers

Respuesta:

03:40 pm;

15: 40;

20 minutos antes de las 4 pm;

40 minutos después de las 3 pm

Explicación paso a paso:

20 minutos antes de las 4 de la tarde se pueden expresar de las siguientes formas:

Basado en un tiempo de 12 horas, podría escribirse tiene: 3: 40 pm

Usando el formato de reloj de 24 horas; donde 3 pm es equivalente a 15; por lo tanto, podría escribirse como: 15:40

Además, el tiempo se puede informar en palabras de la siguiente manera:

20 minutos antes de las 4 pm

También ;

40 minutos después de las 3 pm

how to graph linear standard 3x−4y=24

Answers

Graph the linear equation. 3x-4y= 24

---------------------

Let x = 0, then y = -6

Let y = 0, then x = 8

----------------------------

Plot (0,-6) and (8,0) and draw a line thru them to get:

Which of the following is (−5x + 4) − (3x2 − 7x + 4) simplified and written in standard form?

A. 3x2 − 12x + 8
B. 2x − 3x2
C. −3x2 + 7x − 5x
D. −3x2 + 2x

Answers

Answer:

D)

Step-by-step explanation:

-5x + 4 - 3x² + 7x - 4

-3x² + 2x

Answer:

(–5x + 4) – (3X²–7x + 4) = ( – 3x² + 2x )

The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equation that tells us when the t-shirt hits the ground. b. At what time does the t-shirt hit the ground. SHOW ALL WORK. Round to 2 decimal places.

Answers

Answer:

[tex](a)\ -16t^2 + 7t + 63=0[/tex]

[tex](b)\ t = 2.215[/tex]

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 7t + 63[/tex]

Solving (a): Equation when it hits the ground.

This means that [tex]h(t) = 0[/tex]

So, we have:

[tex]h(t) = -16t^2 + 7t + 63[/tex]

[tex]-16t^2 + 7t + 63=0[/tex]

Solving (b): The value of t in (a)

[tex]-16t^2 + 7t + 63=0[/tex]

Using quadratic formula, we have:

[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

This gives:

[tex]t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}[/tex]

[tex]t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}[/tex]

[tex]t = \frac{-7 \± \sqrt{4081}}{-32}[/tex]

[tex]t = \frac{-7 \± 63.88}{-32}[/tex]

Split

[tex]t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}[/tex]

[tex]t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}[/tex]

[tex]t = -1.7775; or\ t = 2.215[/tex]

Time can't be negative; So:

[tex]t = 2.215[/tex]

A population of beetles is modeled by the equation b(t) = 3,000 (2)t where t represents the number of weeks since the population was first measured?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]b(t) = 3000 * 2^t[/tex]

The question is incomplete;

A possible question could be to calculate the initial amount of beetle

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

Where

[tex]a \to Initial\ amount[/tex]

By comparison:

[tex]a = 3000[/tex] --- The initial number of beetles

Another question could be to solve for f(t), after a certain number of weeks (say 3)

Substitute 3 for t in: [tex]b(t) = 3000 * 2^t[/tex]

[tex]b(3) = 3000 * 2^3[/tex]

[tex]b(3) = 3000 * 8[/tex]

[tex]b(3) = 24000[/tex]

Erin has 5 cans of juice and drinks 13 of a can daily. In how many days will she empty all the cans she has?

Answers

Answer:

15 days

Step-by-step explanation:

Don't you mean 1/3?  If so,

 5 cans

-------------------- = 15 days

1/3 can/daily

How to solve it?

[tex]\int\limits^a_b {x^2+2x} \, dx[/tex]

Answers

Hi there! Assume that this is your question.

[tex] \large{ \int \limits^a_b ( {x}^{2} + 2x)dx}[/tex]

Before we get to Integral, you have to know Differentiation first. If you know how to differentiate a polynomial function then we are good to go in Integral!

We call the function that we are going to integrate as Integrand. Integrand is a function that's differentiated. In Integral, Integrating requires you to turn the function from differentiated to an original function.

For Ex. If the Integrand is x² then the original function is (1/3)x³ because when we differentiate (1/3)x³, we get x²

[tex] \large{f(x) = \frac{1}{3} {x}^{3} \longrightarrow f'(x) = {x}^{2} } \\ \large{f'(x) = 3( \frac{1}{3} ) {x}^{3 - 1} } \\ \large{f'(x) = {x}^{2} }[/tex]

So when we Integrate, make sure to convert Integrand as in original function. From the question, our Integrand is x²+2x. The function is in differentiated form. We know that x² is from (1/3)x³ and 2x comes from x²

[tex] \large{ f(x) = {x}^{2} \longrightarrow f'(x) = 2x} \\ \large{f'(x) = 2 {x}^{2 - 1} } \\ \large{f'(x) = 2x}[/tex]

Thus,

[tex] \large{ \int \limits^a_b ( {x}^{2} + 2x)dx} \\ \large{\int \limits^a_b ( \frac{1}{3} {x}^{3} + {x}^{2}) }[/tex]

Normally, if it's an indefinite Integral then we'd just put + C after (1/3)x³+x² but since we have a and b, it's a definite Integral.

[tex] \large{ \int \limits^b_a f(x)dx = F(b) - F(a)}[/tex]

Define F(x) as our anti-diff

From our problem, substitute x = a in then subtract with the one that substitute x = b

[tex] \large{ (\frac{1}{3}{a}^{3} + {a}^{2} ) - ( \frac{1}{3} {b}^{3} + {b}^{2}) }[/tex]

Simplify as we get:

[tex] \large \boxed{ \frac{1}{3}{a}^{3} + {a}^{2} - \frac{1}{3} {b}^{3} - {b}^{2}}[/tex]

what is the slope of the line through the points (0,2) and (3,-6)

Answers

Answer:

-8/3

Step-by-step explanation:

You can find the slope when given two points

m = (y2-y1)/(x2-x1)

    = ( -6-2)/ (3 -0)

    = -8/3

The mean of 5 numbers is 11.The numbers are in the ratio 1:2:3:4:5 ?

Please help me!!!!​

Answers

consider the numbers are x,2x,3x,4x,5x

Given;

(x+2x+3x+4x+5x)/5 = 11

15x = 55

x= 55/15 = 11/3

The numbers are

11/3, 22/3, 11, 44/3, 55/3

(x+2x+3x+4x+5x)=11
11(5)= 55
15x=55
x=55/15
x= 11/3
x=3.67–>3.7

I hope my answers help you..

The equation of three other functions are given which function or functions have a slope equal to the slope of Function 1

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Function(s) with the same slope as function 1

The question is incomplete as function 1 and the three additional functions are not given.

However, I will provide a general explanation.

A slope is represented as:

[tex]y = mx + b[/tex]

Where

[tex]m \to[/tex] slope

So, considering the following equations

[tex]y = 2x + 3[/tex]

[tex]y = \frac{3x}{2} + 9[/tex]

[tex]y = 2x - 5[/tex]

[tex]y = -2x + 3[/tex]

The following equations have the same slope

[tex]y = 2x + 3[/tex] and [tex]y = 2x - 5[/tex]

Because: [tex]y = mx + b[/tex] implies that:

[tex]m = 2[/tex] for [tex]y = 2x + 3[/tex] and [tex]y = 2x - 5[/tex]

Can Some one help fast easy question

Answers

Answer: x = 2

Step-by-step explanation:

4x + 4 = 2x + 8

2x = 4

x = 2

Answer: x = 2.

Step-by-step explanation: 4x+4=2x+8 subtract 4 from both sides.

4x = 2x+4 subtract 2x on both sides

2x = 4        divide both sides by two

x = 2

I hope this helps, have a nice day.

Largest 3 digit number which is divisible by 6

Answers

Answer:

996

Step-by-step explanation:

largest 3 digit number is 999

then just reduce slowly to find ans

Answer:

The largest 3-digit number divisible by 6 is 996.

Find the product. Write your solution in standard form.
(b-6)(b-6)

Answers

Answer:

b² - 12b + 36

Step-by-step explanation:

use the FOIL method:

b² - 6b - 6b + 36

combine the 'like' terms in the middle:

b² - 12b + 36

What is 2000% as a fraction

Answers

Answer:

20000/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

2000%=2000/100=20/1

A 10-foot ladder is leaning against a wall. If the ladder reaches 8 feet up the wall, how fare is thr base of the ladder from the wall?​

Answers

Answer:

6ft

Step-by-step explanation:

The answer is 6 feet

Have a good day:)

A thin wire inform of an equilateral triangle of side 11 cm find the area of a circle whose circumference is equal to the length of the wire

Answers

Answer:

86.70 cm^2

Step-by-step explanation:

circumference = 11 x 3 = 33

circumference of a circle =  nD

33 = 3.14 X D

D = 10.51

r = 10.51 / 2 = 5.25

Area = nr^2

3.14 x 5.25^2 = 86.70 cm^2

Which of the following shows the coordinates of Q(3,-5) after a translation of
3 units right?

Q'(0,-5)
Q'(6,-5)
Q'(6,-2)
Q'(3,-2)

Answers

Answer:

(0,-5)

Step-by-step explanation:

move the x point to the right three times im pretty sure

What type of association is shown in the scatterplot?

Answers

Answer:

A negtive linear accosian

Step-by-step explanation:

Determine if each equation will have 0, 1, or 2 solutions. Equation A: x(x−3)=0 This equation has ____ solutions because... Equation B: x2=−81 This equation has ____ solutions because... Equation C: (x−1)(x−1)=0 This equation has ____ solutions because...

Answers

Answer:

See below

Step-by-step explanation:

Given the expression

x(x-3) = 0

This can be written as x = 0 and x - 3 = 0

x = 0 and x = 0+3

x = 0 and x = 3

Hence the equation has 2 solutions since it is a quadratic equation

B) Given x^2 = -81

Take the square root of both sides

√x² = ±√-81

x =±√-81

Note that √-1 = i

x = ±9i

x = 9i and -9i

Hence this equation has 2 solutions because of its quadratic nature

C) (x−1)(x−1)=0

x - 1 = 0 and x = 1 = 0

x = 1 twice

Hence this equation has 1 solution because of its repitition of root

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