Factorise the following:​

Complete question :

A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis H0 : μ = 12 against H1 : μ < 12 using a random sample of n = 4 specimens. Calculate the P-value if the observed statistic is xbar = 11.5. Suppose that the distribution of the sample mean is approximately normal.

Answer:

0.02275

Step-by-step explanation:

Given :

Population mean μ = 12

Standard deviation, σ = 0.5

Sample size, n = 4

Observed statistic, xbar = 11.5

H0 : μ = 12

H1 : μ < 12

The test statistic = (xbar - μ) ÷ σ/sqrt(n)

Test statistic =. (11.5 - 12) ÷ 0.5/sqrt(4)

Test statistic = - 0.5 ÷ 0.5/2

Teat statistic = - 0.5 / 0.25 = - 2

Since, it is stated that, distribution is approximately normal ; then we can use the Z distribution and obtain our Pvalue.

We could obtain P value using the Pvalue Z distribution calculator at α = 0.05, 1 - tail

Pvalue = 0.02275

Or

P(x < - 2) = 0.02275 (Z distribution table)

Answer:

Only when any equation you find among those numbers can be simplified into one of the four main equations, which means you only have four different true statements and lots of equivalences. 20 = 40 - 20. As the two addends are the same, so there would be only four different equations for a set of math mountain numbe

Step-by-step explanation:

Answer:

Vishal can blow ballons at the fastest rate.

Step-by-step explanation:

Assuming that all balloons are blown to the same size, who can blow balloons at the fastest rate?​

To find who can blow ballons at the fastest rate, we divide the number of ballons blown by the number of minutes, and whoever has the highest ratio of ballons blown per minute can blow balloons at the fastest rate.

Ethan can blow 15 balloons in 20 minutes

15/20 = 0.75 ballons per minute

Jun Wei can blow 18 balloons in 25 minutes

18/25 = 0.72 ballons per minute

Vishal can blow 16 balloons in 21 minutes.

16/21 = 0.76 ballons per minute

Since he has the highest rate, Vishal can blow ballons at the fastest rate.

Answer:

C

Step-by-step explanation:

Y=8x + 0.25

♡ The Question/Task ♡    

-Which function can be used to find y, the total cost of  attending the carnival and purchasing x ride tickets?  

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♡ The Answer ♡    

-I believe the answer should be, y = 0.25x + 8!  

I apologize in advance if this is incorrect! ♡  

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♡ The Explanation/Step-By-Step ♡    

-No Explanation/Step-By-Step Provided!    

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♡ Tips ♡    

-No Tips Provided!

Step-by-step explanation:

24x³ ÷ 14x²

= 2 × 2 × 2 × 3 × x × x × x / 7 × 2 × x × x

= (2 × x × x) ( 2 × 2 × 3 × x) / (2 × x × x) x 7

= 12x / 7

Answer:

60.1

Step-by-step explanation:

Use cosine for this one- you get cos37 = adjacent/hypotenuse, or cos37 = 48/x

Solve for x and x = 48/cos37, or 60.1

Hopefully this helps! Let me know if you have any questions

Answer:

Pretty sure it's 60.1

Answer:

Circle formula:

Compare with given circle:

We see that:

Diameter is twice the radius:

Answer:

diameter = 4.78 units

Step-by-step explanation:

15/3.14 = 4.78 units

The point of intersection of lines represents the common solution of the system of linear equations. The solution of linear equations given in the graph is (0,2).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Linear equation represents a line on the graph.

The system of linear equations represents couple/s of linear equations or lines.

Here, The solution of system of linear equations means the common point satisfying the different linear equations.

Hence, Graphically, the point of intersection of two lines represents the common solution of these two lines or simply the solution of the system of linear equations.

So, the point of intersection from the given graph is (0,2).

Therefore, the solution of linear equations given in the graph is (0,2).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

idel

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

5, -3 is not near the other dots making it an outlier

Answer:

21 degrees

Step-by-step explanation:

the sum of the three angles in a triangle equal 180. take the known angles (58 and 101) and subtract them from 180. 180-129=21

Answer:

i cant see it will you type it please!

Answer:

C,32

Step-by-step explanation:

first do the brackets

(-4)*-8

negative cancelled by negative

then we get 32

Step-by-step explanation:

https://youtu.be/e7WGZHTZm0I

Answer:

Answervis 4(7W+3)

Step-by-step explanation:

I hope it's helpful!

Answer:

y = 4x - 7

Step-by-step explanation:

Given the following data;

Points (x, y) = (4, 9)

Slope, m = 4

To write the equation in point-slope form;

The equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

First of all, we would find the intercept c;

9 = 4*4 + c

9 = 16 + c

c = 9 - 16

c = -7

Next, we write the equation in point-slope form;

m = 4 and c = -7

y = 4x - 7

Answer:

IV, I, III and II

Step-by-step explanation:

Given

I. 0.1   II. 0.009    III. 0.09    IV. 1

Required

Write in descending order

In descending order means, from greatest to least.

From the given list of numbers,

The greatest is 1 (IV)

Followed by 0.1 (I)

Followed by 0.09 (III)

Then, the least is 0.009 (II)

So, the order is: IV, I, III and II

Answer:

9

Step-by-step explanation:

11 - 2 = 9

Answer: 9

Step-by-step explanation:

Minus 2 from both sides to make it equal.

Answer:

c=  125/2  

h=  3 /2

Step-by-step explanation:

Answer:

Pvalue = 0.020335

X² = 14.99

CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES

Step-by-step explanation:

H0 : there is no difference in market shares

H1: there is difference in market shares

Chisquare (X²) = (observed - Expected)²/ expected

Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05

Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235

Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75

Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4

Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1

Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531

Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924

X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99

The obtain the Pvalue ;

We use the Pvalue from Chisquare calculator :

Pvalue(14.99, 0.05, df= 6) = 0.020335

Decision region :

Reject H0 ; if Pvalue < α

THERE IS DIFFERENCE IN MARKET SHARES

Market share differences:

* 98/400 = 0.245,

0.245-0.20 = 0.045

* 72/400 = 0.18,

0.18 - 0.17 = 0.01

* 54/400 = 0.135,

0.135 - 0.12 = 0.015

* 44/400 = 0.11,

0.11 - 0.10 = 0.01

* 42/400 = 0.105

0.105 - 0.10 = 0.005

* 25/400 = 0.0625

0.0625-0.08 = -0.0175

* 65/400 = 0.1625

0.1625 - 0.23 = -0.0675

Answer:

It would affect the mean, range, and standard deviation

Step-by-step explanation:

I got this right on the test :)

Answer:

FV= $274,909.8

Step-by-step explanation:

Giving the following information:

Present value (PV)= $160,000

Interest rate (i)= 7%

Number of periods (n)= 8 years

To calculate the future value (FV) of the home, we need to use the following formula:

FV= PV*(1+i)^n

FV= 160,000*1.07^8)

FV= $274,909.8

Answer:

Exact Form: 5/8

Decimal form: 0.625

Hope this helps

Step-by-step explanation:

the chef came at 11:50 pm/am hope this helps

10:30 + 1 h 20 mins — 11:50

He arrived at 11:50.

Answer:

Step-by-step explanation:

(a+b)² = a² + 2ab + b²

The only choice that has the form a² + 2ab + b² is D.

The square of a binomial is (p – r)². Then the correct option is D.

The square binomial is a polynomial of two-term only and with power of 2. For example, (x + 5)² where x and 5 are the two separate terms.

Let's check the option D, we have

⇒ p² – 2pr + r²

We know that the formula a² – 2ab + b² = (a – b)², then we have

⇒ p² – 2pr + r²

⇒ (p – r)²

Then the correct option is D.

More about the square binomial link is given below.

https://brainly.com/question/12249986

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Answer:

[tex]k=\dfrac{m}{5}[/tex]

Step-by-step explanation:

Let Kat reads k pages of the book.

Miguel reads 5 times as many  pages of the book as Kat. So,

m = 5k ...(1)

Together they read 54 pages. i.e.

m+k = 54 ...(2)

From equation (1),

[tex]k=\dfrac{m}5{}[/tex]

Hence, the equation that can be used to find how many pages Kat read is equal to [tex]\dfrac{m}{5}[/tex].