Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of new words (words not used in the poet's other works). The standard deviation of the number of new words is . Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.
H0 : µ = 8.88 vs Ha : µ > 8.88
Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)
Use 2 decimal places for the z-score and 4 for the p-value.
a. What is z ?
b. The p-value is greater than ?
c. What is the conclusion?
a)The sonnets were written by another poet
b) There is not enough evidence to reject the null.

Answer:

Step-by-step explanation:

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

79.92

Step-by-step explanation:

Step-by-step explanation:

80 decreased by 8% means;

80 - (8/100 × 80) = 80 - (0.8 × 8)

= 80 - 4.8 = 75.2

x=21

Step-by-step explanation:

• 8x - 7 = 9x - 28

(group like terms)

• 8x - 9x = -28 + 7

• -1x = - 21

(negative cancels out)

• x = 21

Euler's formula immediately gives

[tex]8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8[/tex]

and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.

Answer:

B.He did not add the corresponding parts of the complex numbers.

Step-by-step explanation:

A mid point is a point that is of equal distance to two reference points.

Given: Find the midpoint of 5+(-3)i and 12+7i.

These expressions have two parts: the value and complex number parts.

Thus the addition ought to have been;

 (5+(-3i)) + (12+7i) = (5 - 3i) + (12 + 7i)

                            = (5 + 12) + (-3i + 7i)

                            = 17 + 4i

The midpoint can be determined as:

                        [tex]\frac{(17 +4i)}{2}[/tex]

Thus it can be observed that Raul did not add the corresponding parts of the complex numbers.

Answer:

bbbbbbbbb

Step-by-step explanation:

Answer:

Step-by-step explanation:

11/12 ÷ 1/3 = 2 3/4, or 11/2 as a improper fraction

hope this helps

Answer:

11/12 divided by 1/3 is the same as 11/12 * 3/1, which is 33/12.

Step-by-step explanation:

Answer:

The answer is 30

Step-by-step explanation:

12 ÷ 40% = 30

Answer:

42 minutes

Step-by-step explanation:

Put all numbers in order then cross out a number from each side until you reach the middle.

28, 35, 42, 55, 57

/ 35, 42, 55 /

/ / 42 / /

Answer:

3 hours and 37 minutes

Step-by-step explanation:

42+35+28+55+57=217

217/60=3.61666.....

217-60-60-60=37

Answer:

Don't have

Step-by-step explanation:

In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of thid, to the nearest tenth. Show your work with reasoning for each step.  stepstep

Answer: b=6

Step-by-step explanation:

I hope this helps on edge

To make the system have an infinite number of solutions, the value of b can be any real number.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

For the system to have an infinite number of solutions, the two equations must be dependent, which means that one of the equations can be obtained by a linear combination of the other two equations.

So,

Let's rearrange the given equations into the slope-intercept form:

y = 6x - b _____(1)

3x + 12y = -3 ______(2)

-3x + y = -3 ______(3)

From equation (3),

y = 3x - 3 _______(4)

Now,

We can see that equation (1) is a multiple of equation (4) with a slope of 6/3 = 2.

Specifically, equation (1) can be obtained by multiplying equation (4) by 2 and then subtracting b from both sides.

So,

2(3x - 3) - b = 6x - b

Simplifying this expression.

6x - b = 6x - b

Since this equation is true for any value of x and b, we have an infinite number of solutions.

Therefore,

To make the system have an infinite number of solutions, the value of b can be any real number.

Learn more about solutions of equations here:

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Answer:

B. 63 degrees

Step-by-step explanation:

Its the same angle as the one above it.

I hope this helps :)

Have a nice day!

Answer:

B

Step-by-step explanation:

If lines AB and CD are parallel, then angle h is equal to 63 degrees

Answer:

d is answer have a great day

Answer: 0, 1, -3

Step-by-step explanation:

f(x) = x^3 +2x^2 -3x

f(x) = x(x^2 +2x-3)

f(x) = x(x-1)(x+3)

to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3

Answer:

2 (4x - 1) + 6 = 8x + 4 = 4(2x+1)

Step-by-step explanation:

2 (4x - 1) + 6

= (2*4x + 2*-1) + 6

= 8x - 2 + 6

= 8x + 4

= 4/(2x+1)

Answer:

4(2x+1)

Step-by-step explanation:

First, factor it out:

2(4x-1+3)

Then calculate:

2(4x+2)

Factor out 2:

2 • 2(2x+1)

Then finally multiply:

4(2x+1)

Answer:

$568.95

Step-by-step explanation:

Given parameters:

Value of loan  = $18965

Interest rate  = 3%

Time  = 1year

Unknown:

Interest = ?

Solution:

The interest on a particular amount is given as:

        I  = [tex]\frac{PRT}{100}[/tex]  

I is the interest

P is the principal

R is the rate

T is the time

       I  = [tex]\frac{18965 x 3 x 1}{100}[/tex]   = $568.95

Answer:

9

Step-by-step explanation:

Sorry to lazy to type

Calculation is up

Answer:

The answer to your question will be 9, sorry that im late!

Step-by-step explanation:

Answer:

Hello! The answer is 1.5

The area of the given right-angle triangle will be 1.5 unit².

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°.

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Given the tringle with,

Base =1.5 unit

Hypotaneous = 2.5 unit

By Pythagoras theorem

Perpendicular² = (Hypo² - Base²)

Perpendicular² =  2.5² - 1.5²

Perpendicular = 2 units.

Now the area of the right-angle triangle is

⇒  (1/2) × base × height.

Area = (1/2) × 1.5 × 2 ⇒ 1.5 unit²

Hence the area of the given triangle will be 1.5 unit².

For more information about triangle

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Answer:

63 grams

Step-by-step explanation:

42*4+Δ = 42+ 3*Δ

168 +Δ = 42 +3Δ subtract a triangle from both sides

168+Δ-Δ=42+3Δ-Δ

168 = 42 +2Δsubtract 42 from both sides

168-42 = 2Δ

126 = 2Δ divide both sides by 2

63 = Δ

Answer:26

Step-by-step explanation:

Gia's final number, if her starting number is 9 is 22

The rule of Gia's number is given as:

y = 2x + 4

Where x represents the starting number and y represents the final number.

Substitute 9 for x in y = 2x + 4

y = 2 * 9 + 4

Evaluate

y = 22

Hence, Gia's final number is 22

Read more about equations at:

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Answer:

D

Step-by-step explanation:

in answer D, the values would equal "6" and "18" which is not equivalent to the given equation

Answer: Yes

Step-by-step explanation: by SAS

Answer:

Step-by-step explanation:

ASA postulate of congruence.

Step-by-step explanation:

All the answers which apply are D and F

Answer:

I think it is d but I am now overthinking it so don't put too much trust in that

Answer:

1.5

Step-by-step explanation:

i am not certain but this is how I got it

First distribute which gives you the -3 with 2 I switched them around so I did -3(-5x+2) and you will get 15x-6

Then the opposite of subtraction is addition so you add 6 to both sides so you add six to 12 and to 6 leaving you with 15x=3x+18 you then will subtract 3x from 15x and 3 leaving you with 12x=18 the divide the numbers

After you divide you get 3/2 then put it has a decimal and you get 1.5

Answer:

the first one and the last three

Step-by-step explanation:

that should be it.

Answer:

The ratio of their volumes is not the same 4:1, but [tex](4:1)^3[/tex] = 64:1.

Step-by-step explanation:

Measurements in Similar Figures

In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the other corresponding lengths can also be expressed as a:b.

In similar figures, if the ratio of any of these corresponding lengths is expressed as a:b then the ratio of the areas can be expressed as (a:b)^2 and the ratio of the volumes can be expressed as (a:b)^3.

We are given the ratio of the sides of two similar prisms as 4:1. The ratio of their volumes is not the same 4:1, but [tex]\mathbf{(4:1)^3}[/tex] = 64:1.

Answer:

32/27

Step-by-step explanation:

The fractional division is draculated as follows:

(a/b) / (c/d) = (a*d) / (b*c)

then:

(8/9) / (3/4) = (8*4) / (9*3) = 32/27