Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Answers

Answer 1

Answer:

Yes, we can

Step-by-step explanation:

H0 : μ = 9.75

H1 : μ > 9.75

n = 25 ; xbar = 9.85 ; σ = 0.27

The test statistic:

T = (xbar - μ) ÷ (σ / √n)

T = (9.85 -9.75) ÷ (0.27 ÷ √25)

T = 0.1 ÷ 0.054

T = 1.85

We can obtain the Pvalue from the test statistic using the Pvalue calculator :

Pvalue at t score = 1.85 ; 24 = 0.038

If Pvalue < α ; Reject H0

α = 0.05

Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box


Related Questions

(3-97)(3+9)=
(Simplify your answer. Type your answer in the form a +bi.)

Answers

Answer:

-1128

Step-by-step explanation:

-1128 is the answer just sayin ya lol

An elephant can travel 30 km in 2 hours. How fast is the elephant moving?

Answers

15 kilometers per hour
The elephant is moving at 15 km per hour

Can you guys help? Last one plzzzz

Answers

I believe the answer is y=-3/4X + 3

Answer:

Step-by-step explanation:

Explain why 2/3 x 12 can be written as 2 x 12 divided by 3.

Answers

Answer and Step-by-step explanation:

[tex]\frac{2}{3}[/tex] × 12 can also be written as [tex]\frac{2 * 12 }{3}[/tex] because the 12 is multiplying the numerator of the fraction.

12 can also be written as [tex]\frac{12}{1}[/tex].

When we solve, this is what is happening:

[tex]\frac{2}{3}[/tex] × [tex]\frac{12}{1}[/tex]

The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.

#teamtrees #PAW (Plant And Water)

Answer:

I don't know, other than because it's the same thing and it just can.

Step-by-step explanation:

2 x 12 ÷ 3 is longer when written out but it is simpler to solve.

Andy, Fergus, Evelyn, and Margaret are collecting cans for recycling. Before lunch, they have collected a total of 173 cans. At the end of the day, the total number of cans collected can be represented by the expression 173 1 n. What could the variable n in the expression represent if you know Margaret collected some cans in the afternoon?

Answers

Answer:

hm

Step-by-step explanation:

Answer:

N would represent days

Step-by-step explanation:

the question says at the end of the day

Inez carved a wooden cone from a
cylindrical piece of wood. The cylindrical
piece of wood had a radius of 3 inches
and a height of 15 inches. The cone had
the same radius as the cylinder but was
2 inches shorter. About what volume of
wood did Inez remove from the cylinder to
make the cone?

Answers

Answer:

123 inches³

Step-by-step explanation:

Hi there!

Objective: Find the volume of the cone

We know that the cylinder had a radius of 3 inches and it had a height of 15 inches.

Because the cone had the same radius of the cylinder, we know that it has a radius of 3 inches. And because it was 2 inches shorter, it has a height of 13 inches (15-2=13).

[tex]V=\frac{1}{3} \pi r^2h[/tex]  where r is the radius of the cone and h is its height

Plug in the known information (r=3 and h=13)

[tex]V=\frac{1}{3} \pi (3)^2(13)\\V=\frac{1}{3} \pi (9)(13)\\V=\frac{1}{3} \pi(117)\\V=39\pi\\V=123[/tex]

Therefore, the Inez removed about 123 inches³ of wood from the cylinder to make the cone.

I hope this helps!

A private jet flies the same distance in 14 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was 181mph less than 3 times the speed of the private jet, find the speed of each jet.

Answers

Answer:

Private Jet = 181 mph      Commercial Jet = 362 mph

Step-by-step explanation:

private jet           travels distance D in 14 hours

commercial jet   travels distance D in 7 hours      

so commercial jet speed is twice the private jet

                    y   =  2x

commercial jet speed = 3 · (private jet speed) - 181 mph

               y  =   3x - 181

                        2x = 3x  - 181

                2x - 3x  = -181

                       -x   =  -181

                         x  =   181

                      y   =  2x

                      y   =   362

          362  =  3(181)  - 181

                       

plssssss helppp last diagnostic​

Answers

Answer:

9/20 square miles

Step-by-step explanation:

9/10× 1/2= 9/20 square miles

Find an expression which represents the sum of (8x+10y) and (-4x-3y) in simplest form

Answers

Answer:

An algebraic expression is an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. Generally, if two things are the same, then it is called equivalent.

Step-by-step explanation:

The pitch P of a musical tone varies inversely as its wavelength w. One tone has
a pitch of 321 vibrations per second and a wavelength of 10.5 feet. If another
tone has a pitch of 374 vibrations per second, what is its wavelength?

Answers

Answer:

The wavelength of the second pitch is 12.23 feet.

Step-by-step explanation:

Since the pitch P of a musical tone varies inversely as its wavelength w, and one tone has a pitch of 321 vibrations per second and a wavelength of 10.5 feet, if another tone has a pitch of 374 vibrations per second, to determine what is its wavelength the following calculation must be performed:

321 = 10.5

374 = X

374 x 10.5 / 321 = X

3927/321 = X

12.23 = X

Therefore, the wavelength of the second pitch is 12.23 feet.

Identify the area of the figure shown.

Answers

Answer:

54

Step-by-step explanation:

Find the area of the triangle:

1/2((3 + 5 + 3)*8) = A

1/2((11)*8) = A

1/2(88) = A

44 = A

Find the area of the rectangle:

2 * 5 = A

10 = A

Add the two areas:

10 + 44 = A

A = 54

Please helppp!!!

what is the perimeter of the triangle?

what is the area or the triangle?​

Answers

Answer:

The perimeter is 27 km

The area is 21 km^2

Step-by-step explanation:

The perimeter of a triangle will just be all of the sides added up.

12 + 9 + 6 = 27 km

The area of a triangle is:

A = 1/2 * base * height

The base is 6 km, and the height is 7 km. Substituting the values in and solving, we get:

A = 1/2 * 6 * 7

A = 3 * 7

A = 21 km^2

The stadium has fixed expenses of $10,000 per event. Last month it put on three major events and spent $72,000, $47,500, and $65,000 in advertising for them respectively. According to the accountant, these events earned a total of $482,000 in revenue. What was the stadium's profit margin last month?

Answers

Answer:

267,500

Step-by-step explanation:

10,000 × 3 = 30,000

30,000 + 72,000 + 47,500 + 65,000 = 214,500

482,000 - 214,500 =267,500

The stadium's profit margin last month was 267,500 dollars.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that stadium has fixed expenses of $10,000 per event.

Since it put on three major events and spent $72,000, $47the,500, and $65 this event raising for them last month respectively

Thus,

10,000 × 3 = 30,000

Total = 30,000 + 72,000 + 47,500 + 65,000 = 214,500

According to the accountant, total amount these event earned ;

$482,000 in revenue.

So,

482,000 - 214,500 =267,500

Hence, the stadium's profit margin last month was 267,500 dollars.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ6

Given a polynomial f(x), if (x + 7) is a factor, what else must be true

Answers

Answer:

Step-by-step explanation:

at x = -7, the polynomail function f(x) has a zero (x-intercept)

What is the value of -2(x + 5)?
A. x + 10
B. x - 10
C. -2x - 2
D. -2x - 10​

Answers

Answer:

D

Step-by-step explanation:

Use the distributive property to multiply both x and 5 by -2:

-2(x + 5) = -2x - 10

Answer:

[tex]{\huge\blue{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex] - 2(x + 5) \\ = - 2x - 10[/tex]

D. -2x - 10 is the correct answer.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

Select the correct answer. Which of these is a key feature of an experimental study? A. The treatment in the experiment should be simple enough for each individual in the experimental group to understand. B. The treatment in the experiment must vary for each individual in the experimental group. C. The treatment in the experiment must be applied to each of the individuals in the experimental group. D. The treatment in the experiment should be short so that each individual is tested quickly.

Answers

Answer:

C. The treatment in the experiment must be applied to each of the individuals in the experimental group.

Step-by-step explanation:

Experimental studies are the studies in which the researcher introduced the intervention and the impact of the study. It usually randomized.

Moreover, it must be applied for each and every individual in the experimental group as the variables & conditions would be vary and the same would be applied so that the actual results may be concluded

Hence, the option c is correct

Select the point that is a solution to the system of inequalities.
y< x2 + 3
y=x²-4
A. (-2,-4)
B. (0,4)
C. (1,2)
D. (4,0)

Answers

It would be C since it’s in between both inequalities and in the shaded region.

which angle corresponds to <OJH​

Answers

Answer:

line parallel to OJ or JH

what are the lengths of side a and b​

Answers

Answer:

solution given:

∆ABC is a right angled isosceles triangle

perpendicular [p]=base [b]=a=b

hypotenuse [h]=3ft

By using Pythagoras law

h²=p²+b²

3²=a²+a²

9=2a²

a=√(9/2)=[tex] \frac{3 \sqrt{2} }{2} [/tex]

so

a=b=[tex] \frac{3 \sqrt{2} }{2} [/tex]

Find the volume of the composite solid shown in figure

Answers

Answer:

113.14cm^3

36π cm^3

Step-by-step explanation:

the composite solid is made up of a cylinder and a hemisphere

volume of solid = volume of cylinder + volume of hemisphere

volume of a cylinder = nr^2h

n = 22/7

(22/7) x (3^2) x 2 = 56.57 cm^3

or in terms of pi = 18π

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

(2/3) x (22/7) x (3^3) = 56.57 cm^3

or in terms of pi = 18π

volume of solid = 56.57 cm^3  x 2 = 113.14cm^3

or 18π x 2 = 36π cm^3

56.57

Find the slopes of the lines containing the following. (If an answer is undefined, enter UNDEFINED.)
a)
b)
c)
d)
e)
f)

Answers

Answer:

Step-by-step explanation:

a)  

m = y2-y1 / x2-x1

P1 = (3,-4)  as (x1,y1)

P2= (5,6)  as (x2,y2)

m = 6-(-4) / 5 - 3)

m = 6+4 / 2

m = 10 / 2

m = 5

b)

m = y2-y1 / x2-x1

P1 = (5,-3)  as (x1,y1)

P2= (5,6)  as (x2,y2)

m= 6-(-3) / 5-5

m = 6+3 / 0    ( the world blows up when  you divide by zero :0  undefined )

c)

m = y2-y1 / x2-x1

P1 = (1,-1)  as (x1,y1)

P2= (8,-8)  as (x2,y2)

m = -8-(-1) / 8-1

m = -8+1 / 7

m = -7 / 7

m = -1

d)

m = y2-y1 / x2-x1

P1 = (-2.8,2)  as (x1,y1)

P2= (-1.2,2)  as (x2,y2)

m = 2-2 / a number     0 because the numerator is 0 and there is a number in the denominator

e)

m = y2-y1 / x2-x1

P1 = (c,d)  as (x1,y1)

P2= (e,f)  as (x2,y2)

m = f-d / e-c     that's all you can do until we're given those variables

f)

m = y2-y1 / x2-x1

P1 = (0,c)  as (x1,y1)

P2= (d,0)  as (x2,y2)

m = 0-c / d-0

m = -c /d

The supermarket sells juice in 16- and 32-ounce bottles. If Warren wants to bring home 144 ounces of juice in 7 separate bottles, which system of equations should he solve to determine how many 16- and 32-ounce bottles to buy? (Let x represent the number of 16-ounce bottles and y represent the number of 32-ounce bottles.)

A. 32x+16y=144 x+y=7
B. 16x+32y=144 x+y=7
C. 32x+16y=144 x+y=144
D. 16x+32y=7 x+y=32

Answers

The correct answer should be approximately letter b) 16x+32y=144 x+y=7

X-2 is a factor of f(x) = x3 – 2x2 + ax +
+18. State the remainder when f(x) divided
by x-9.

Answers

Answer:

answer is in the picture above

Answer:

remainder: 504

Step-by-step explanation:

x³ – 2x² + ax +18 = x²(x-2) - 9*(x-2)

a = -9

(x³ – 2x² - 9x +18) / (x-9) = (x² +7x + 54)(x-9) + 504   ... long division

1. If the spinner below is spun once, find each
probability.

Answers

Answer:

I don't know what kind of questions is this but first you need to show your spinner

One fourth of the 120 students took wood shop. How many students did not take wood shop?

Answers

Answer:

90 students.

Step-by-step explanation:

Given 1/4 of the 120 students took woodshop, just take the 3/4 that didn't take it:

[tex]\frac{3}{4}(120)[/tex]

Find common factors between 4 and 120 to simplify, so 4.

[tex]\frac{3}{1} (30)[/tex]

Now multiple across to get 90.

PLEASE HELP Find
y, such that ABC ~ DEF.

Answers

Answer:

[tex]y =12[/tex]

Step-by-step explanation:

Given

ABC similar to DEF

Required

Find y

To do this, we make use of the following equivalent ratios.

[tex]AB : AC = DE : DF[/tex]

Using the values in the attachment, we have:

[tex]9 : 18 = 6 : y[/tex]

Express as fraction

[tex]\frac{9 }{ 18 }= \frac{6 }{ y}[/tex]

[tex]\frac{1 }{2 }= \frac{6 }{ y}[/tex]

Solve for y

[tex]y = 6 * 2[/tex]

[tex]y =12[/tex]

Perform the indicated operations and reduce to lowest terms. Assume that no denominator has a value of zero. ​

Answers

Answer:

[tex]\frac{x}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Required

Solve

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Change the division to multiplication

[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]

Apply difference of 2 squares

[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]

Cancel out x - 3

[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]

Factorize 9x + 27

[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]

Cancel out x + 3

[tex]\frac{1}{9} * \frac{x}{1}[/tex]

Finally, this gives:

[tex]\frac{x}{9}[/tex]

When rounded to the ten thousands place, which of the numbers below round to 230,000? Select all that apply

Answers

I don’t see the selections.

Here are some examples:
229000–> round 230000
231000–> round 230000

Someone help me with the question please

Answers

Answer:

1. 1/6

2. 10/36

3. 1/12

Step-by-step explanation:

Answer:

What question do you need help with?

Step-by-step explanation:

A pizza shop delivers an extra large pizza, which is sold for \$20$20dollar sign, 20, and costs the pizza shop \$12$12dollar sign, 12 to make. The pizza shop has a delivery policy that says if the pizza takes longer than half an hour to arrive, there is no charge. Experience has shown that delivery takes longer than half an hour only 10\%10%10, percent of the time.
Let the random variable XXX be the pizza shop's profit for a randomly selected delivery order for one of these pizzas. Here is the probability distribution for XXX:
Late On-time
X=\text{profit}X=profitX, equals, start text, p, r, o, f, i, t, end text -\$12−$12minus, dollar sign, 12 \$8$8dollar sign, 8
P(X)P(X)P, left parenthesis, X, right parenthesis 0.100.100, point, 10 0.900.900, point, 90
Given that \mu_X=\$6μ
X

=$6mu, start subscript, X, end subscript, equals, dollar sign, 6, calculate \sigma_Xσ
X

sigma, start subscript, X, end subscript.
Round your answer to two decimal places.
\sigma_X=σ
X

=sigma, start subscript, X, end subscript, equals
dollars

Answers

The standard deviation for the given probability distribution is;

σₓ = $6

Probability Distribution

The image for the probability distribution is missing and so i have attached it.

We are given;

Expected Value which is the mean as;

µₓ = $6

Now, from the probability distribution table attached, we can find the mean (expected value) of a discrete random variable X from;

Variance(X) = (-12 - 6)²(0.1) + (8 - 6)²(0.9) = 36

Thus, standard deviation of the random X is;

σₓ = √36

σₓ = $6

Read more about probability distribution at; https://brainly.com/question/4630765

Other Questions
what is the area of the figure below?3541 4651 escribe una frase en el futuro... conservar el agua Will give brainliest to first right answer!!!!!! to make a sports drink for a football team, jaylen filled 9/10 of a large cooler with water. then he filled the remaning space with 6 cups of sports drink concentrate.How many gallons of sports drink did Jaylen make? There are 2 hikers, one of them wanders off the trail. How many hikers are left?PLZ HELP!!!!! 1. Explain the two processes that keep atmospheric oxygen and carbon dioxide at stable levels? 2. What do you think are two causes of the increase in carbon dioxide in the atmosphere? What problem is causing Pliny difficulty? What disadvantage does each of his two alternatives have? (questions from Cambridge Latin Course fourth edition Unit 4 book. Stage 41 (page 128). Carcer story.) Help please thank you !! Which side lengths form a right triangle? The moist bread becomes mouldy after a few days when it is left in a container with a cover. Which of the following conditions favour the growth of the fungus? define imperialism in your own words Anyone know this....... The length of the sides of a triangle is given. Determinewhether or not the triangle is right, acute, or obtuse.6, 8, 10a Rightb AcuteObtuse please help me i need to reconcile but it is hard, thank you The excess return is computed by ________ the average return for the investment. Group of answer choices subtracting the inflation rate from adding the inflation rate to subtracting the average return on the U.S. Treasury bill from adding the average return on the U.S. Treasury bill to subtracting the average return on long-term government bonds from What is the purpose of a buffer? PLEASE HELP ME!!!!! #4,5!!!! Triangle UVW has a perimeter of 11.5 units. Solve for y. 17 and 18 please no links Choose the measure that best represents the data. Explain your reasoning.12, 15, 16, 18, 20, 90