The t distribution approaches the _______________ distribution as the sample size ___________.

Answers

Answer 1

Answer:

Normal; increases.

Step-by-step explanation:

In Statistics and probability, a student t-distribution also known as the t-distribution refers to the continuous probability distribution which can be used to estimate population parameters when the population variance or standard deviation is not known (unknown) and the sample population is relatively small. The student t-distribution is a statistical distribution which was published in 1908 by William Sealy Gosset.

The t-distribution approaches the normal distribution as the sample size increases because the parameters becomes negligibly smaller.

This ultimately implies that, when the degree of freedom of a t-distribution curve is increased in comparison with that of a normal distribution, the value of probability becomes significantly similar.

Answer 2
Normal; increases!!!

Related Questions

Help! You can look at the picture please

Answers

Answer:

[tex] \frac{3x}{3 - 2x} [/tex]

Step-by-step explanation:

Here,

f(x) = y

[tex]y = \frac{3x}{2x + 3} [/tex]

or , swapping x with y

[tex]x = \frac{3y}{2y + 3} [/tex]

now to solve for y we get

[tex]y = \frac{3x}{3 - 2x} [/tex]

now we put f inverse x instead of y

[tex] {f}^{ - 1} (x) = \frac{3x}{3 - 2x} [/tex]

I am done.

I think it’s D,but I’m not sure

Please help need help asap please

Answers

Answer: The two choices with the square root of 2 will have irrational answers

Step-by-step explanation: By definition:

As long As you have normal fractions, you have rational numbers.

Square roots of "perfect squares" 4, 9, 16, 25, etc. can be rational numbers. The square roots of anything else and pi will be irrational.

The square root of 2 choices are the answers with irrational answers

6.21(3.1) answer for number 6

Answers

The answer is 19.251

P. The inventory of a store 2 years ago was worth $45,000. This year it is
worth $49,500. What is the percent increase? Show your work

Answers

Answer:10% increase

Step-by-step explanation:

49500-45000=4500

4500/45000=0.1

0.1x100=10

10% increase

Answer:

10%

Step-by-step explanation:

follow the rules of calculating percentages.

fractions, decimals, etc.

pls mark brainliest

Find the area of the shape shown below.

Answers

Answer:

31.5

Step-by-step explanation:

We can add the areas together

We have a rectangle and a triangle

The area of the rectangle is

A = lw

   = 7*3

   = 21

The area of the triangle is

A = 1/2 bh

   = 1/2 (7)*3

   = 21/2

   = 10.5

Add them together

A = 21 + 10.5

   =31.5

Answer:

31 1/2

Step-by-step explanation:

You find the area for the triangle on top and the rectangle on the bottom. In order to find the area of the triangle, multiply 7 and 3. Then divide the product which is 21 by 2. So the area of the triangle is 21/2 which could also be written as 10 1/2. Next, you find the area of the rectangle which is 7x3. You get 21. Finally, you add the two areas to get 31 1/2. It could also be written as 63/2 or 31.5

the formula for a trapezoid is A= 1/2h(b1+b2) which equations are equivalent to the formula

Answers

Answer:

A=[tex]\frac{a+b}{2} (h)[/tex]

Step-by-step explanation:

Option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

What is a trapezoid?

It is defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.

The options are:

h=2A/(b1+b2)b1=2A/h - b2b2= 2A/b1  - hb2= 2A/h  - b1b1= 2A//b2 - h

We have a formula for finding the area of the trapezoid:

[tex]\rm A= \dfrac{1}{2}h(b_1+b_2)[/tex]

Make a subject h and solve for h:

[tex]\rm \dfrac{2A}{(b_1+b_2)}= h[/tex]

or

[tex]\rm h = \dfrac{2A}{(b_1+b_2)}[/tex]

[tex]\rm b_2 = \dfrac{2A}{h}- b_1[/tex]

[tex]\rm b_1 = \dfrac{2A}{h}- b_2[/tex]

Thus, option first, option second, and option fourth are correct this expression is equivalent to the formula for a trapezoid.

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write the percent as a fraction or mixed number in simpelst form 35% A) 3 1/2 B) 13/20 C) 6 1/2 D) 7/20

Answers

Answer:

7/20

Step-by-step explanation:It is the same thing as .35. So just turn it into fraction and simplify.

Answer:

D) 7/20

Step-by-step explanation:

Divide 35 by 100:

35 / 100 = .35

Convert into a fraction and simplify:

[tex].35=\frac{35}{100}=\frac{35/5}{100/5}=\boxed{\frac{7}{20}}[/tex]

Option D should be the correct answer.

Which statement best compares the two functions?



The minimum of function A occurs 1 unit higher than the minimum of function B.


The minimum of function A occurs 3 units higher than the minimum of function B.


The minimum of function A occurs 5 units lower than the minimum of function B.


The minimum of function A occurs 7 units lower than the minimum of function B.

Answers

Answer:The minimum of function A occurs 1 unit higher than the minimum of function B.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Trust

*PLEASE ANSWER TY* A scale factor of 2 is applied to the dimensions of the prism. What effect will this have on the volume?

Answers

Answer:

The volume will be 8 times larger.

Step-by-step explanation:

Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8

The volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have a three-dimensional figure shown in the picture.

The scale factor = 3

As we know, the volume can be found:

Volume = length×width×height

Let the volume of the figure is A

Volume = A cubic in

If the scale factor is applied to the dimensions of the prism:

The volume:

Volume =  (2)length×(2)width×(2)height

Volume = 2³(length×width×height)

Volume = 8A

Thus, the volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

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Find the length of KE. A. 30 B. 28 C. 15 D. 3

Answers

Answer:

28

Step-by-step explanation:

What value of p makes both sides equal the same? P = 3

37 - 9 = 28

21 + 7 = 28

So line KE and BE both equal 28

Hope this helps, and have a good day :)!

The length line KE and BE both equal 28.

Option (B) is correct.

Find the length of KE.

What is angle?

Figure which is formed by two rays or lines that shares a common endpoint.

Given that:

Let the value of

P = 3

Put the value of P

37 - 9 = 28

21 + 7 = 28

So, line KE and BE both equal 28

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simplified?
[tex]5 \sqrt{ - 8r} [/tex]
Im just confused on how the negative 8 will play out, and same with the non exponential variable.​

Answers

Answer:

[tex]10i\sqrt{2r}[/tex].

Step-by-step explanation:

[tex]5\sqrt{-8r}[/tex]

= [tex]5\sqrt{-1 * 2 * 2 * 2 * r}[/tex]

= [tex]5i\sqrt{2^2 * 2 * r}[/tex]            (i = the square root of -1)

= [tex]5i * 2\sqrt{2 r}[/tex]

= [tex]10i\sqrt{2r}[/tex]

Hope this helps!

5*sqrt(-8r) =
5i*sqrt(8r) =
10i*sqrt(2r)


The i is an 'imaginary number' and it represents the square root of -1.

PLS HELP WILL GIVE BRAINLIEST

Answers

Awnser: none of the above
Explanation: none of them logically makes any sense in that form

Which relation is a function? {(–4, –6), (–3, –2), (1, –2), (1, 0)} {(–2, –12), (–2, 0), (–2, 4), (–2, 11)} {(0,1), (0, 2), (1, 2), (1, 3)} {(8, 1), (4, 1), (0,1), (–15, 1)}

Answers

Answer:

[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]

Step-by-step explanation:

Given

[tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]

[tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]

[tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]

[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]

Required

Determine which is a function

A relation is divided into 2; (x,y)

Where x represents the range and y stands for the domain

For a relation to be a function, the x column must be unique; in other words, there must be only one occurrence of x

Testing each of the given options

A. [tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](-4, -6)[/tex]

[tex](-3, -2)[/tex]

[tex](1, -2)[/tex]

[tex](1, 0)[/tex]

Notice that the third and fourth relation has the same x value of 1;

Hence, this is not a function

B. [tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](-2, -12)[/tex]

[tex](-2, 0)[/tex]

[tex](-2, 4)[/tex]

[tex](-2, 11)[/tex]

Notice that all relations has the same x value of -2;

Hence, this is also not a function

C. [tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](0, 1)[/tex]

[tex](0, 2)[/tex]

[tex](1, 2)[/tex]

[tex](1, 3)[/tex]

Notice that the first and second relation has the same x value of 0 and the third and fourth relation has the same x value of 1;

Hence, this is also not a function

D. [tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](8, 1)[/tex]

[tex](4, 1)[/tex]

[tex](0, 1)[/tex]

[tex](-15, 1)[/tex]

Notice that relation has the unique x values of 8, 4, 0 and -15

Hence, this relation is a function

Using the similar triangles, which equation could be used to find the slope of line AB? A) m = p q B) m = q p C) m = n m D) m = q n

Answers

Your answer is A



Mark brainliest!

Find the measure of c.

Answers

Answer:

140°

Step-by-step explanation:

The circle has a central angle of 80. This means that the arc it intercepts is also 80°. Therefore, the rest of the circle not intercepted by the arc is 360-80=280°

Remember that inscribed angles have one-half of the arc-length it intercepts. We can see that Angle C intercepts the entire circle except for the arc intercepted by Angle O. Therefore, the arc intercepted by Angle C is 280°. This means that Angle C is the half of 280, or 140°.

The answer is C is equal to 140

Identify the domain of a radical function with an odd index. Question 1 options: A) 0 < x < ∞ B) –∞ < x < ∞ C) 0 ≤ x < ∞ D) –∞ < x ≤ 0

Answers

Hey the answer would have to be a
A) is the answer hope I helped good luck

Please help me with this!!!

Answers

Answer:

(f•g)(2)=3 and (g•f)(6)=7

Step-by-step explanation:

look at the tables

where x is equal to both 2 and 7 is where you will find your answer

Hope this helps you!

I agree with the other person ;)

The following frequency table shows the number of hours each of the staff members at Eroy's Electronics slept Thanksgiving night. Find the mean number of hours of sleep.

Answers

Answer:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

if u have question let me know in comments ^_^

Answer:

Step-by-step explanation:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

What is the best estimate of the sum of $14.30, $143.08, and $19.74

Answers

Answer:

Step-by-step explanation:

ok so you start off by adding

  14.30

143.08

  19.74

 177.12

177.12 is close to 180 if u estimate in tens, 177 if ones

The addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

All real numerals and 0 are included in the category of whole numbers.

The process of adding up the different or more sums or figures.

The sum means plus sing is present between the terms.

The whole numbers are given below,

$14.30, $143.08, and $19.74

Then the summation of the whole numbers is given below.

⇒ $14.30 + $143.08 + $19.74

⇒ $177.12

Thus, the addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.

More about the Algebra link is given below.

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find the value of a answers: a:15 b:14 c:19 d:16

Answers

Answer:

6a+10= 3a+55

6a-3a= 55-10

3a= 45

a= 45/3

a= 15

The answer is (A) 15

Hope this helps^°^

Answer:

A. 15

Step-by-step explanation:

The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.

[tex]6a+10=3a+55[/tex]

Now, solve for a. We must get a by itself on one side of the equation.

First, subtract 3a from both sides of the equation.

[tex]6a-3a+10=3a-3a+55[/tex]

[tex](6a-3a)+10=55[/tex]

[tex]3a+10=55[/tex]

Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.

[tex]3a+10-10=55-10[/tex]

[tex]3a=55-10[/tex]

[tex]3a=45[/tex]

3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3

[tex]3a/3=45/3[/tex]

[tex]a=45/3[/tex]

[tex]a=15[/tex]

The value of a is 15 and choice A is correct.

Graph the solution of 7x+3<−4 or 2x−3≥9

Answers

Answer:

Step-by-step explanation:

To do this you would simplify both sides.

For the first one:

             [tex]7x+3<-4[/tex]

             [tex]7x<-7[/tex]        (subtract 3 from both sides)

              [tex]x<-1[/tex]         (divide 7 from both sides)

and for the second one:

              [tex]2x-3\geq 9[/tex]

               [tex]2x\geq 12[/tex]        (add 3 to both sides)

              [tex]x\geq 6[/tex]             (divide 2 from both sides)

When you graph these they will look like these pictures    

Answer:

[tex]x<-1[/tex] and [tex]x\geq6[/tex]

Step-by-step explanation:

[tex]\bf 7x+3<-4[/tex]

You must subtract 3 from both sides.

[tex]7x+3-3<-4-3\\[/tex]

After subtracting, we got

[tex]7x<-7[/tex]

Let's make it into a fraction and divide

[tex]\frac{7x}{7}<\frac{-7}{7}[/tex]

Now we got the answer

[tex]x<-1[/tex]

[tex]\bf 2x-3\geq 9[/tex]

You must add 3 to both sides.

[tex]2x-3+3\geq 9+3[/tex]

After adding, we got

[tex]2x\geq 12[/tex]

Let's make it into a fraction and divide

[tex]\frac{2x}{2} \geq \frac{12}{2}[/tex]

Now we got the answer

[tex]x\geq 6[/tex]

Your answer is [tex]\bf x<-1[/tex] or [tex]\bf x\geq 6[/tex].

Kate wants to paddle
her canoe across the lake. To determine how far she must paddle, she paced out a triangle,counting the number of strides, as shown.
If Kate's strides average 3.5 ft, what is the
length of the longest side of the triangle?
What distance must Kate paddle across
the lake? ​

Answers

Answer:

1. Length of longest side of the triangle = 1,050 ft

2. Length = 437.5 ft

Step-by-step explanation:

Given:

Kate's strides average = 3.5 ft

Find:

1.longest side of the triangle

2.Distance must Kate paddle across the lake

Computation:

1.longest side of the triangle

longest side of the triangle = AE

So,

longest side of the triangle = 150 + 150

longest side of the triangle = 300

Length of longest side of the triangle = 300 × 3.5 ft

1. Length of longest side of the triangle = 1,050 ft

2.Distance must Kate paddle across the lake.

We know that,

ΔABD ~ ΔACE

So,

AB / AC = BD / CE

80 / 160 = BD / 250

BD = 125 Strides

Length = 125 × 3.5 ft

2. Length = 437.5 ft

the answer is in the attached image

pls help...1.The given right rectangular prism is composed of small cubes. Find the following is the volume of the prism and the volume of one of the small cubes.

Answers

Answer:

1. 1.3778  2. 0.0089

Step-by-step explanation:

to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.

so 1x0.83x1.66= 1.3778

you can always convert the fraction into decimal to help you calculate the problem.

i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.

it is 5 by 10 so there are 150 cubes in total.

1.3378 divided by 150=0.0089

im confident about the 1st but not so much with the second

The volume of the rectangular prism is: 1.39 ft³

The volume of one of the small cubes is: 0.0046 ft³

What is the Volume of a Rectangular Prism?

Volume of rectangular prism = length × width × height

Given the following:

Length = 1 ft

Width = 5/6 ft

Height = 1⅔ ft

Volume of the rectangular prism = 1 × 5/6 × 1⅔ = 1 × 5/6 × 5/3

Volume of the rectangular prism = 25/18 = 1 7/18 ft = 1.39 ft³

Length of the edge of 1 cube = 1/6 ft

Volume of the 1 cube = (1/6)³ = 1/216 = 0.0046 ft³

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Name five fractions between 6/7 and 9/10

Answers

Answer:

43/50, 22/25, 111/125, 1111/1250, and 179/200.

Step-by-step explanation:

6/7 = 0.8571428571

9/10 = 0.9

The fractions can be anywhere within that range.

The first fraction I would name would be a fraction that equals 0.86. 0.86 = 86/100 = 43 / 50.

The second fraction can be a fraction that equals 0.88. 0.88 = 88 / 100 = 44 / 50 = 22 / 25.

The third fraction will equal 0.888. 0.888 = 888 / 1000 = 444 / 500 = 222 / 250 = 111 / 125.

The fourth fraction will equal 0.8888. 0.8888 = 8888 / 10000 = 4444 / 5000 = 2222 / 2500 = 1111 / 1250.

The fifth fraction can equal 0.895. 0.895 = 895 / 1000 = 179 / 200.

Hope this helps!

Answer:

43/50, 22/25, 111/125, 1111/1250, and 179/200.

Step-by-step explanation:

6/7 = 0.8571428571

9/10 = 0.9

The fractions can be anywhere within that range.

The first fraction I would name would be a fraction that equals 0.86. 0.86 = 86/100 = 43 / 50.

The second fraction can be a fraction that equals 0.88. 0.88 = 88 / 100 = 44 / 50 = 22 / 25.

The third fraction will equal 0.888. 0.888 = 888 / 1000 = 444 / 500 = 222 / 250 = 111 / 125.

The fourth fraction will equal 0.8888. 0.8888 = 8888 / 10000 = 4444 / 5000 = 2222 / 2500 = 1111 / 1250.

The fifth fraction can equal 0.895. 0.895 = 895 / 1000 = 179 / 200.

Rearrange the tiles so that it shows the proper steps of solving this quadratic equation using square property

Answers

Answer:

see explanation

Step-by-step explanation:

Given

(x + 2)² = 25 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{25}[/tex] ← Step 1

x + 2 = ± 5 ← Step 2 ( subtract 2 from both sides )

x = - 2 ± 5 ← Step 3

Residence of us in the version of nighttime is my was very very good night of the times that I will never been in before and I never meant for five minimum and I have a number for a cop to see if we find the tape. Hope that is the answer

Annie tried to solve a problem step by step: 7.5 + k = 10 7.5 + k - 7.5 = 10 - 7.5 step 1 k = 2.5 step 2 Find Annie's mistake: A. Step 1 B. Step 2 C. Annie did not make a mistake

Answers

Answer:

(C) Annie did not make a mistake

Step-by-step explanation:

To isolate the variable k in the equation [tex]7.5 + k = 10[/tex], we'd have to subtract 7.5 from both sides so we just had k on one side.

This is exactly what Annie did, and therefore, her answer is correct.

Hope this helped!

Answer:

C. Annie did not make a mistake

Step-by-step explanation:

Substitute 2.5 for k in the equation and see if it is correct

Each time you substitute you should see that Annie answered the equation correctly

PLEASE HELP! Will mark brainliest! Find the intercepts for the following linear equation: y=−5

Answers

Answer:

hi :)

Step-by-step explanation:

Y intercept (C)= -5

I think it will help you.

Simplify (−3c3w5)3. −9c6w8 −9c9w15 −27c6w8 −27c9w15

Answers

Answer:-9c3w5-36c6w8-36c9w15

Answer:

-27c⁹w¹⁵ the last choice

Step-by-step explanation:

Simplifying:

(−3c³w⁵)³=                   ⇒ each factor gets same power- 3³(c³)³(w⁵)³ =             ⇒ power of power = product of powers- 27c⁹w¹⁵                     ⇒ correct answer choice is the last one

A rope is cut into three pleces. The lengths are given as 2ab(a - b), 3^2(a + 2b), and b^2 (2a - b).
The expression representing the total length of the rope is_____?
If a = 2 inches and b = 3 inches, the total length of the rope is ____?
inches.

Answers

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]2ab(a-b)+3a^2(a+2b)+b^2(2a-b)\\\\=2a^2b-2ab^2+3a^3+6a^2b+2ab^2-b^3\\\\=\boxed{3a^3-b^3+8a^2b}[/tex]

For a = 2, b = 3 the total is

[tex]3\cdot 2^3-3^3+8\cdot 2^2 \cdot 3\\\\=3*8-27+96\\\\=24-27+96\\\\=\boxed{93}[/tex]

Thank you

Its very confusing so sry

For lunch, you get tacos that cost $5.50. You also get chips and salsa for $3.99. What is the total cost of your lunch?

Answers

Answer:

9.49

Step-by-step explanation:

Add the price of the chips and salsa to the price of the tacos

5.50

+3.99

---------------

9.49

Answer: $9.49

Step-by-step explanation:

0+9 is 9 and 5+9 is 14 but carry the 1 to the left and add 5+3+1 and you get your answer $9.49

$5.50

+$3.99

————

$9.49

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4If Randy flips a coin 3 times, what is the probability that it will come up heads 3 times? Find the slope of ABA (-3, 12), B (-11, -16) Use the diagram below to answer the questions.Which are shown on the diagram? Check all that apply.JLKMJKPKLJKMJ Find the common ratio of the geometric sequence: 3,4,16/3,...A.1B.3/4C.4/3D.-1 How many pencils are in a bundle of 10 What is the balanced equation for the reaction of aqueous cesium sulfate and aqueous barium perchlorate? how many quarts are there in 12 gallons and 3 quarts? enter the number only. Do not include units Lew's has 500 bonds outstanding with a price quote of 98.6. There are also 12,000 shares of common stock selling for $47 a share and 5,000 shares of preferred stock at $70 a share. What is the weight of equity How did Dickinson view fame, based on her poems beginning with "Fame is a fickle food" and "I'm nobody"? The price of oil in the United States has been very volatile over the last 50 years, with the real price of oil showing a few dramatic swings. When did these swings occur, and what can explain them? The first dramatic swing happened in the 1970s when there was a sharp drop rise in the real price of oil caused by a large financial crisis the formation of OPEC increased demand from emerging economies . The second swing happened in the 2000s when there was a sharp rise drop in the real price of oil caused by increased demand from emerging economies a large financial crisis the formation of OPEC . The most recent swing happened in 2008 when there was a sharp rise drop in the real price of oil caused by The slope of the line whose equation is x + y = 6 is: -1 1 6 Shaw and Maya agree to a total contract price of $920,000. How much of the contract price should Maya allocate to the machine, installation, and training, respectively? Communication satellites are often put in a geo-synchronous orbit, meaning they have an orbital period of 24 hours and stay over the same spot above the equator at all times. Given that the Earth has a mass of 5.97 x 1024 kg and a radius of 6.37 x 106 meters, determine the following: a. What is the orbital height of the satellite relative to the surface of the Earth F/4-5=-9 how do you do this problem Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. n = 50 p = 0.2 PromptNow that you have worked through a lot of material that includes these basic patterns, and you have comparedgrammatically correct and incorrect sentences, write down what you think is a rule that could explain what makes asentence grammatically correct or not. For example, you might write something like: "verbs always match nouns innumber, and they usually come before the noun." In other words, make your best guess for the grammar rule that makessense out of the pattern(s) you see in the phrases you have been working with. Review if you need to, and you mightbriefly check your hunches against the sentences you have been working with in this or previous modules. Keep in mindthat what you're after is your hunch, not a grammar rule from a text book. Now check your hunch with the explanation ofthis principle in the following pattern If a stock is correctly priced, then you know that ____________. A. the dividend payout ratio is optimal B. the stock's required return is equal to the growth rate in earnings and dividends C. the sum of the stock's expected capital gain and dividend yield is equal to the stock's required rate of return D. the present value of growth opportunities is equal to the value of assets in place You palpate a soft, slightly tender mass in the right scrotum of an adult male. You attempt to reduce the size of the mass, and there is no change in the mass size. Your next assessment maneuver is to:________a. use two fingers to attempt to reduce the mass.b. palpate the left scrotum simultaneously.c. lift the right testicle and then compare pain level.d. transilluminate the mass you just got home from a run on a hot Atlanta afternoon. you grab a 1.00-liter bottle of water and drink three-quarters of it in one swig. How many moles of water did you consume? What is the distance between points A and B on the grid? (the grid is shown in the image). A. 3 units B. 4.5 units C. 5 units D. 5.5 units