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:

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.

Step-by-step explanation:

Let the null and alternate hypothesis be

H0:  u ≤ 9.75   against the claim Ha: u > 9.75

Here

Population mean= u= 9.75

Standard deviation= 0.27 ounces

Sample mean= x`= 9.85

Significance level [tex]\alpha[/tex]= 0.05

Using z- test

z= x`-u/s/√n

z= 9.85-9.75/0.27/√25

z= 0.1/5.4

z= 0.0185

The critical region for 1 tailed test at 0.05= z > ±1.645

Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that  the mean weight is less and equal  to 9.75 ounces per box and accept the null hypothesis.


Related Questions


In triangle ABC, the length of side AB is 19 inches and the length of side BC is 28 inches. Which of the following could be the
length of side AC?

Answers

Answer:

43 inches

Step-by-step explanation:

If x is an acute angle, and tan x=3/4
evaluate
COS x-sin x/COS x+ sin x
please answer fast 10 points and brainliest answer​

Answers

Use the pic and solve the COS x-sin x/COS x+ sin x part

comment if there's something u don't understand

The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

tanx = 3/4        (x is an acute angle)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex]  ….(1)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex]  …(2)  

Divide (1) ÷ (2)

(cosx-sinx)/(cosx+sinx)  = (1/3)/(7/3) = 1/7

Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME

Answers

Answer:

x = 10

Step-by-step explanation:

I made a right triangle with a leg of 6 (7-1), base of 7, and hypotenuse of 'x' and then used the pythagorean theorem:

6² + 8² = x²

100 = x²

x = √100

x = 10

The answer for x would be 10

A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t
is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the
nearest whole number, and do not include units.

Answers

Answer:

Step-by-step explanation:

A sample of bacteria is decaying according to the half-life model f(t) = Ne -0.226t, where N is the initial sample size and t

is time in hours. At t = 4, there are 25 bacteria remaining. What was the initial sample amount? Round your answer to the

nearest whole number, and do not include units.

simplify 8x+7-x-4


help meeeeee!!!​

Answers

Answer:

7x + 3

Step-by-step explanation:

Let's simplify step-by-step.

8x + 7 − x − 4

= 8x + 7 + −x + −4

Combine Like Terms:

= 8x + 7 + −x + −4

= (8x + −x) + (7 + −4)

= 7x + 3

Answer:

= 7x + 3

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

Which answer choice represents a person burning 45
calories by climbing 9 flights of stairs?
F
Number of Flights of
Stairs Climbed, f
Number of Calories
Burned, c
G.
c=f+5, where c represents the number of
calories burned and f represents the number of
flights of stairs climbed.
1
5
3
15
5
25
7
35
J
A person who climbs 5 flights of stairs will
burn 1 calorie
90
22
Need
Heln2

Answers

I’m working it out give me like 5 minsss

Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

Answers

Answer:

Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and ... - did not match any documents.

Suggestions:

Make sure that all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

pls helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model correctly illustrates the relationship? Check all that apply.
y = 10.4 x
y = 2.6 x
y = 4 x

Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 13, 26, 39. Column 2 is labeled Total cost (in dollars) with entries 5, 10, 15.

Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39.

Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13).

Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (3, 1) and (18, 7).

Answers

Step-by-step explanation:

The model that illustrates the relationship is 4x=10.404x=10.40

The cost of each ice cream was x=\$2.60x=$2.60

Step-by-step explanation:

Let

x----> the cost of one ice cream

we know that

The linear equation that represent this situation is

4x=10.404x=10.40

solve for x

Divide by 4 both sides

x=10.40/4x=10.40/4

x=\$2.60x=$2.60

Answer:

First answer is y = 2.6 (or answer two)

Second answer is         Cost of Ice Cream Cones

A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39. (or the first mini graph-ish thingy, i don't remember what to call it)

Third answer is

             Cost of Ice Cream Cones

On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13). (or the first graph)

Step-by-step explanation:

Correct on edge 2021

and i did the calculations

I hope this helped have a great day!

WHATS 20-11 ANSWER OR DAII

Answers

Answer:

9

Step-by-step explanation:

20-11=9

☁️ Answer ☁️

9

Take 11 away from 20

Have a nice day noona/hyung.

5. A flock of geese flies 50 miles per hour. Write a linear
equation that gives the distance d in miles that the flock
of geese flies in h hours

Answers

Answer:

y=50x+0

Step-by-step explanation:

y=mx+b is y-intercept form

I will make x= hours and y= distance (miles)

every 1 you add to x has to represent 50 miles

for the y intercept, it was unspecified so I assumed 0

Hope this helps :)

Answer:

y=50x

Step-by-step explanation:

Solve 3y^3 + 12y^2 + 12y =0

Please

Answers

Answer:

y = 0, -2

Step-by-step explanation:

Factor out the common term 3y.

[tex]3y( {y}^{2} + 4y + 4) = 0[/tex]

Rewrite y² + 4y + 4 in the form of a² + 2ab + b², where a = y and b = 2.

[tex]3y( {y}^{2} + 2(y)(2) + {2}^{2} ) = 0[/tex]

Use square sum: (a + b)² = a² + 2ab + b².

[tex]3y(y + 2) ^{2} = 0[/tex]

solve for y.

y = 0, -2.

therefor, the answer for this equation is 0, - 2.

What is 498,235 rounded to the
nearest thousands?

Answers

Answer:

498,000

Step-by-step explanation:


X = {1,3,5,7)
Y = {13,57}
Which of the following is the set XnY?

Answers

Answer:x is a letter in music.} 3. Determine whether each set is well-defined. If it is not well-defined, explain why, ... true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} ... Describe each of the following sets as either finite or infinite. ... 13 listened to heavy metal and alternative rock; 12 listened to rap and alternative rock;. or

x 2 - 2yZ = 7 with x = 2v + 1 and y = 2b + 1. These have solutions. (x, y; v, b) = (3, 1; 1,0), (5,3; 2,1), (13,9; 6,4),. (27,19; 13,9), (75,53; 37, 26), (157,111; 78, 55), .

Step-by-step explanation:

Solve the formula Ax + By = C for A

Answers

Ax+By=C
Ax=C-By
A=C-By/x

Please help me with this ASAP ASAP please please help

Answers

Answer:

Step-by-step explanation:

Base perimeter: 4 x 2 x π = 8π

LA = 8π x 6 = 48π

Base area = 4^2π = 16π

SA = 16π x 2 + 48π = 80π

V= 16π x 6 = 96π

The mean age at which the population of babies first stand without support is normally distributed with a mean of 13.20 months with a standard deviation of 2.00 months. What is the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier

Answers

Answer:

0.00621

Step-by-step explanation:

We solve the above question using the

Z score formula. This is given as:

z = (x-μ)/σ/√n

where

x is the raw score = 12.20 or earlier

This means x ≤ 12.20

μ is the population mean = 13.20

σ is the population standard deviation = 2

n is the random number of samples = 25

z = 12.2 - 13.2/2/√25

z = -1/2/5

z = -1/0.4

z = -2.5

Probability value from Z-Table:

P(x≤ 12.2) = 0.0062097

Approximately = 0.00621

Therefore, the probability of randomly selecting a sample of 25 children who stood on their own by the average age of 12.2 months or earlier is 0.00621

Simplify 4x + 3x² + x² - 3x​

Answers

Answer:

[tex]x + {4x}^{2} [/tex]

Step-by-step explanation:

simplify by combining like terms

4x - 3x = x

[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]

we're left with

[tex]x + {4x}^{2} [/tex]

Answer:

4x²+x

Step-by-step explanation:

4x-3x+3x²+x²

4x minus 3x is x and 3x² +x² is 4x²

therefore,

4x²+x

PLEASE SOMEONE HELP ME WITH THE MATH!!! It's on the picture!!!

Answers

N is to the left of the zero which means it is a negative number.

P is the the right of zero which means it is a positive number.

A negative number is less than a positive number, so the answer would be:

The number with the least value is N

The number with the greatest value is P

What formula can be used to find circumference? Choose all that apply. *
Cat
2r
nd
2nd

Answers

Answer:

circumference =pi ×diameter

OR

pi × radius × 2

please answer
Step by step

Answers

Answer:

B) 20°

Step-by-step explanation:

The top half of the circle is equal to 180°...

13x + 3x + 2x = 180°

18x = 180°

x = 10°

Angle EOD is the opposite angle of 2x

2 (10) = 20°

The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers feed each participant the same diet. On the third day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. What is the purpose of double-blinding?

a. To control unintentional researcher bias in the execution of the experiment
b. To control for the participants' prior beliefs about energy drinks
c. To control both unintentional research bias and participant prior beliefs

Answers

Answer:

C. To control both unintentional research bias and participant prior beliefs

Step-by-step explanation:

Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.

Thus,the correct answer is option C as it includes both the researcher and the participants

HELP ON HOMEWORK PLS

Answers

Answer:

∠LPN = 57°

Step-by-step explanation:

arc LMN = 360° - 102° - 144° = 114°

∠LPN = 114°/2 = 57°

Which expression is the simplest form of 2(4x + y) + 3(x - 6y) + x2?
O A. x2 + 11x-17y
B. x2 + 11x – 4y
C. x2 + 9x- 17y
O D. x2 + 11x-16y

Answers

Answer:

x² + 11x-16y

Step-by-step explanation:

The given equation is :

[tex]2(4x + y) + 3(x - 6y) + x^2[/tex]

It can be simplified as follows :

[tex]2(4x + y) + 3(x - 6y) + x^2\\\\=2(4x)+2y+3x-3(6y)+x^2\\\\=8x+2y+3x-18y+x^2\\\\=11x-16y+x^2[/tex]

So, the correct option is (d) i.e. x² + 11x-16y.

Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please

Answers

Answer:

27

Step-by-step explanation:

PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around. After installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. 12 + p = 42 or p - 42 = 12
Let p represent the perimeter of the play area. Which equation models the problem?
Solve this equation to find the perimeter of the play area.
_____________ feet

Answers

Answer:

The equation is P - 42 = 12

P = 54

Step-by-step explanation:

Which shape is the base of the pyramid shown below?
A triangle
B square

Answers

B square
hope that helps!

Answer:

B. it's a square pyramid so the base is a square.

Step-by-step explanation:

Sin 17° cos 13° + cos 17° sin 13°​

Answers

Answer:

.5

Step-by-step explanation:

Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)

sin(17+13) = 1/2

Need help!!!!!!!!!!!​

Answers

Answer:

90°

-Sum of angles in a triangle= 180°

-angle C is 90°

-therefore angle A + angle B is,

180° - 90° = 90°

9/11 = c/55


c=???
answwedbhksjbdew
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Answers

Answer:

C=45

if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5

multiply 9 by 5 to get 45

Step-by-step explanation:

Answer: c=45

Brainiest please!

Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?

Answers

Answer:So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches

Step-by-step explanation:

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