Which line is perpendicular to LD​

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

There is enough evidence to support the claim that there is a significant difference in the proportion of residents and commuters who prefer the switch.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that there is a significant difference in the proportion of residents and commuters who prefer the switch.

Then, the null and alternative hypothesis are:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0\)

The significance level is 0.05.

The sample 1 (residents), of size n1=200 has a proportion of p1=0.4.

\(p_1=X_1/n_1=80/200=0.4\)

The sample 2 (conmuters), of size n2=200 has a proportion of p2=0.6.

\(p_2=X_2/n_2=120/200=0.6\)

The difference between proportions is (p1-p2)=-0.2.

\(p_d=p_1-p_2=0.4-0.6=-0.2\)

The pooled proportion, needed to calculate the standard error, is:

\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{80+120}{200+200}=\dfrac{200}{400}=0.5\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.5*0.5}{200}+\dfrac{0.5*0.5}{200}}\\\\\\s_{p1-p2}=\sqrt{0.0013+0.0013}=\sqrt{0.0025}=0.05\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.2-0}{0.05}=\dfrac{-0.2}{0.05}=-4\)

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

\(P-value=2\cdot P(z<-4)=0.00008\)

As the P-value (0.00008) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there is a significant difference in the proportion of residents and commuters who prefer the switch.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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9514 1404 393

Answer:

Step-by-step explanation:

The place value of a digit to the right of the decimal point is 10 to the negative power of the digit count. The 1st digit right of the decimal point has a place value of 10^-1.

Here, the most significant digit of 0.000000016 is in the 8th place to the right of the decimal point, so its place value is 10^-8.

  0.000000016 = 1.6×10^-8

Another way to write the same number is 1.6E-8. (The "E" is a stand-in for ×10^.)

_____

Your (graphing or scientific) calculator or a spreadsheet can display this in scientific notation for you.

__

That many nanoseconds, as this problem states, would be 1.6×10^-17 seconds. "Nano" is an SI prefix meaning 10^-9.

The equation of the function passing through the given point is

y = -8x -1

The equation of a line in point-slope form is expressed as:

\(y-y_0=m(x-x_0)\)

m is the slope

\((x_0,y_0)\) is the point on the line

Given the equation \(y=2x^2-4x+1\)

Get the slope by differentiating at x = -1

\(m=\frac{dy}{dx} =4x-4\\m=\frac{dy}{dx} =4(-1)-4\\m=\frac{dy}{dx} =-4-4\\m=\frac{dy}{dx} =-8\)

Substitute (-1, 7) and m = -8 into the formula above to have \(y-7=-8(x+1)\)

Simplify

\(y-7=-8x-8\\y+8x = -8+7\\y+8x=-1\\y=-8x-1\)

Hence the equation of the function passing through the given point is

y = -8x -1

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Mr. Carreon can give his students 243 different combinations of quizzes for a one-school week if he chooses to give a quiz in either math, science or history each day.

To find the number of different combinations of quizzes that Mr. Carreon can give his students for a one-school week, we can use the concept of permutations and combinations.

Since there are three subjects (math, science, and history) and Mr. Carreon can give a quiz in any of these subjects on each day of the week, the number of different combinations of quizzes for the week is given by the product of the number of choices for each day. That is,

Number of combinations = Number of choices on Monday * Number of choices on Tuesday * ... * Number of choices on Friday

Since there are 3 subjects to choose from for each day, the number of choices for each day is 3. Therefore, the number of different combinations of quizzes for the week is:

Number of combinations = 3 * 3 * 3 * 3 * 3 = 3^5 = 243

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(9) The triangle ABD ≅ triangle CDB by SAS Congruence Postulate ,

(10) The triangle EFG ≅ triangle LNM by SAS Congruence Postulate .

In the question ,

(9)

a figure is given where AD = CB

In the Triangle ABD and triangle CDB ,

side AD = CB   ....given

angle ADB = angle CBD     .... given

side AB = CD .......because opposite sides of parallelogram are equal .

hence ΔABD ≅ ΔCDB by SAS Congruence Postulate .

(10)

a figure is given where EF = LN

In the Triangle EFG and triangle LNM ,

side EF = LN   ....given

angle G = angle M        .... because both are 90°

side FG = NM       .....given

hence ΔEFG ≅ ΔLNM by SAS Congruence Postulate .

Therefore , (9) The triangle ABD ≅ triangle CDB by SAS Congruence Postulate ,

(10) The triangle EFG ≅ triangle LNM by SAS Congruence Postulate .

The given question is incomplete , the complete question is

Complete the Congruence Statement for the figure given below , If possible . If so , state the Postulate / Theorem you used .

(9) ΔABD ≅                                               (10) ΔEFG ≅                    .

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The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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The correct answer is (a). P′(2005) represents the growth rate (in people per year) of the population in 2005.

This is because P′(t) is the derivative of P(t), which measures the rate of change of P(t) concerning t.

In other words, P′(t) tells us how fast the population is changing at a given year t.

The units of P′(t) are the same as the units of P(t) divided by the units of t, which are millions of people per year.

Therefore, P′(2005) gives the number of millions of people by which the population changed in 2005. To find the actual number of people, we would have to multiply P′(2005) by one million.

The derivative can help us analyze the behavior of the population function, such as it's increasing or decreasing intervals, its maximum or minimum values, and its concavity or inflection points. The derivative can also help us model and predict the future trends of the population based on the current data and assumptions.

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Answer:

A.

Step-by-step explanation:

Each mark is worth two. We are inbetween the first mark and 0 on the left. Half of two is one. and since we are in the left quadrant we know it to be negative. Looking down, we see that we are exactly one mark down. As a mark is two, ans that we are going down, this will be a negative two. That leaves us with the answer of (-1, -2)

Answer:

A. (-1,-2)

Step-by-step explanation:

just trust me...I promise it right

Step-by-step explanation:

To determine the constant of proportionality (k) in a proportional relationship, we need to compare corresponding values of x and y and calculate the ratio between them.

Let's examine the given values:

2. UX: x 6 15 9 y 42 200

To find the constant of proportionality (k), we can take any pair of corresponding values and calculate their ratio. Let's choose the first pair: (6, 42).

k = y / x

k = 42 / 6

k = 7

So, the constant of proportionality (k) is 7.

Now, let's find the missing values for the second set of values:

d. X: 14 y: 21 6 15 3 7 8

Since we know the constant of proportionality is 7, we can calculate the missing values of y by multiplying each corresponding x value by 7.

Missing values for y:

- For x = 21, y = 21 * 7 = 147

- For x = 6, y = 6 * 7 = 42

- For x = 15, y = 15 * 7 = 105

- For x = 3, y = 3 * 7 = 21

- For x = 7, y = 7 * 7 = 49

- For x = 8, y = 8 * 7 = 56

Therefore, the missing values of y are: 147, 42, 105, 21, 49, and 56.

Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

The sum of the internal angles of the polygons are

a) The sum is A = 540°

b) The sum is A = 360°

c) The sum is A = 1800°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of the internal angles of a polygon be represented as A

Now , the value of A is

The sum of exterior angle of n polygon is = 360°

Now ,

a)

The number of sides of the polygon = 5 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 5 in the equation , we get

nθ = 180° ( 5 - 2 )

nθ = 180° x 3

nθ = 540°

b)

The number of sides of the polygon = 4 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 4 in the equation , we get

nθ = 180° ( 4 - 2 )

nθ = 180° x 2

nθ = 360°

c)

The number of sides of the polygon = 12 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 12 in the equation , we get

nθ = 180° ( 12 - 2 )

nθ = 180° x 10

nθ = 1800°

Hence , the sum of the internal angles of the polygon is solved

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The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

러슈ㅑ루아류러유여오겨류려류효샤햐갸어야더여로영ㅎ영ㅎ엏야오

Answer:

jkhojrgephovhg rggefouhgv ouheruoegho;weurh reugeho;hgouerh;oeru ;erouhge;erhuorue greu;he; gouhgrouhrfljsshfglfsjfksjlakjfaddfslklkjfdaj;lkdf adfkd jkd jdfk dkjjdfk djkfl fdjks dfjk djkfas fdks kjdfsa jfkdsa kj;dflsa

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

how

Step-by-step explanation:

you can find the answer by vertical opposite angle

if the value of x is computed and it's equal to 78 you will find the answer

78=(12x+18)^

78=(12×5+18)

78=(60+18)

78=78 the problem is solved

may u get branliest please please

statement profit or loss, statement of changes in equity ,statement of cash flows are mentioned below

How to prepare following statements?

a. Statement of profit or loss for Polo co for the year ended 31 December 2020

Revenue $35,000,000

Cost of sales (6,000,000)

Gross profit 29,000,000

Administrative expenses (9,000,000)

Distribution costs (2,000,000)

Profit before tax 18,000,000

Finance costs (250,000)

Investment income 800,000

Profit before income tax 18,550,000

Income tax expense (4,000,000)

Deferred tax expense (100,000)

Net profit for the year 14,450,000

b. Statement of changes in equity for Polo co for the year ended 31 December 2020

Equity share capital $15,000,000

Retained earnings at 1 January 2020 10,000,000

Total equity at 1 January 2020 25,000,000

Net profit for the year 14,450,000

Dividend paid (1,500,000)

Rights issue (note 4) 12,500,000

Total equity at 31 December 2020 50,450,000

c. Statement of cash flows for Polo co for the year ended 31 December 2020

i. Cash flows from investing activities

Purchase of investment property (13,000,000)

Proceeds from sale of intangible assets -

Net cash used in investing activities (13,000,000)

ii. Cash flows from financing activities

Proceeds from rights issue 12,500,000

Dividend paid (1,500,000)

Net cash provided by financing activities 11,000,000.

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Answer:

7x +1

Step-by-step explanation:

If A to C is 12x + 3, And A to B is 5x - 2 then you subtract the polynomials from each other!

12x- 5x = 7x

3 -2 = 1

So the answer is 7x +1!

(If you still need help just tell me in the comments)

Answer:

what they currently going over?

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Answer:

Pretty sure it's D. y=2/1x

Answer:

y= 2/1 x

Step-by-step explanation:

Start from (-2,-4) rise up 4 and over 2 which means 4/2 simplify to 2/1

The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

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Answer:

answer : 9 feet

Step-by-step explanation:

1 foot is 6 feet and a half foot is 3 feet so add them together.

Answer:

121

Step-by-step explanation:

firstly you arrange the numbers in ascending order the number in the middle is considered to be the median

Answer:

300.5

Step-by-step explanation:

Firstly, you must remember PEMDAS. This formula shows what order to do which parts of the equation!

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

The parenthesis mean that we must do the two equations in them separately.

So, first do 3 x 10². Next, do 5 x 1/10. Finally, add the two products together!

3 x 10² = 300

5 x 1/10 = 0.5

300 + 0.5 = 300.5

:)

Answer: If i did it right it should be -0.866

Step-by-step explanation: