What is the sum of the polynomials ​

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:

2sqrt(3),-2sqrt(3)

Step-by-step explanation:

12-x^2=0

-x^2=-12

x^2=12

x=-sqrt(12),sqrt(12)

x=2sqrt(3),-2sqrt(3)

Answer:

B

Step-by-step explanation:

You have to know how to factor polynomials.

2(5x^2-21x-54)

2(5x^2-30x+9x-54)

2(5x(x-6)+9(x-6))

2(5x+9)(x-6)

Answer:

A right circular cone can be intersected by some plane to produce circle, ellipse, hyperbola depending upon where the plane is crossing the cone.

But if the plane crosses at the vertex. Just one point is crossed.

Answer:

a point hope this helps

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:

80%

Step-by-step explanation:

Answer:

OKay i did not get it but it should be 96 hours

Step-by-step explanation:

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).

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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:

diameter = 4.78 units

Step-by-step explanation:

15/3.14 = 4.78 units

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].

Answer

here :)

Step-by-step explanation:

for 1) the answers are...

x       y

-6     -10

3      -1

-7     -11

0       -4  

-3     -7

for number 2 the answers are...

x    y

6   -2

1    -7

-8  -16

-7  -15

2   -6

for number 5 the answers are...

x    y

1    -6

2    -5

-6   -13

6    -1

-9   -16

for number 6 the answers are...

x   y

8   64

7   56

6   48

9   72

-8   -64

for number 9 the answers are...

x   y

2   -3

-9  -14

8   3

-5  -10

9    4

for number 10 the answers are...

x   y

5   -15

-9   27

7    -21

0    0

-3   9

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:

The tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

From the right angle triangle,

The ratio of the man height and his shadow is equal to the tree height(h) and its shadow.

6/9 = h/30

h = 20 feet

Thus, the tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.

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Answer:

d=15

Step-by-step explanation:

Cross multiply 20 * 12 =240

16 * d = 16d

16d=240

d=15

Answer:

BC > AD

Step-by-step explanation:

The opposite side to BC is greater, therefore making m<BCD > m<BAD. Since the legs are congruent, this is the only difference that need-be mentioned.

As the opposite angle of a larger side of a triangle is larger hence

m∠BAD > ∠mBCD.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

From the figure itself, ΔABD and ΔBCD share a common side BD.

Given, Side AB is congruent to side CD and Side AD is greater than side BC.

We know opposite angle of a larger side of the triangle is larger.

Therefore, m∠BAD > ∠mBCD.

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Answer:

It would affect the mean, range, and standard deviation

Step-by-step explanation:

I got this right on the test :)

Answer:

a

Step-by-step explanation:

Answer:

angles 1 and 3 are supplementary

Answer:

m<ADC = 42°

Step-by-step explanation:

Based on the inscribed angle theorem, the inscribed angle, m<ADC is ½ the measure of minor arc AC.

If minor arc is given as 84°, therefore:

m<ADC = ½(84)

m<ADC = 42°

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

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:

i cant see it will you type it please!

Answer: 2

2.5 and up we round up

2.4 and lower we round down

Answer:

2

Step-by-step explanation:

2 4/10

4/10 is less than 0.5 so we round down to 2

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:

200 ÷ 2 = x

Step-by-step explanation:

Diego has 2 times as many a Lin. That means to find Lin's student number, we would  have to split 200 in half.

Hope this helps!

Given:

In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.

To find:

The correct congruency statement for the given triangles.

Solution:

In △ABC and △PQR,

[tex]AB=QR=5\ cm[/tex]                    (Given)

[tex]BC=PQ=6\ cm[/tex]                    (Given)

[tex]AC=PR=8\ cm[/tex]                    (Given)

All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.

[tex]\Detla ABC\cong \Delta RQP[/tex]               (SSS congruency postulate)

Therefore, the correct option is C.

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:

y = -3

Step-by-step explanation:

6y +4 = 4y- 2

2y= -6

y= -3

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