Choose all of the ordered pairs that are solutions of the equation 2. – 3y = 6.

(-3, – 4)

(-1.5, 3)

(0, – 2)

(1.5, - 1)

(2, -3)

(4.5, 1)

Answer: 4,84,920

Step-by-step explanation:

Given

The rent per month is 1347

for a year it is 12 months

for 30 years it is \(30\times 12=360\ \text{months}\)

Rent for 30 years it is

\(\Rightarrow \text{rent}=1347\times 360=484,920\)

Answer:

Step-by-step explanation:

Asked:  How many square tables are needed to place 100 pupils?

Given: Square table each has 4 pupils to sit

operation :  Multiplication, subtraction,  Division

Solve:

Number of pupils in 9 rectangular tables = 9*8 = 72 pupils

Remaining pupils = 100 - 72 = 28

Number of square table needed =28 ÷ 4 = 7

7 square tables are needed.

Answer:

Not a linear function

Step-by-step explanation:

Fisrst of all, a linear function is an odd-degree function. x^1

The equation y=2x^2 is a quadratic function

Having this equation to the second power makes it an even function.

So this is equation is not, in fact a linear, but quadratic equation.

Answer:

26

Step-by-step explanation:

ab+c

plug in #s

4(6)+2

start to solve

24+2

26

The required sample size is 694.

Given a student wants to make a guess within 0.03 of the true ratio with a 95% confidence level.

Margin of Error, E = 0.03

significance level α=0.05  {95% confidence}

A given estimate of the percentage of population p is p = 0.79.

The critical value for the significance level α = 0.05 is Zc = 1.96. This can be determined using either Excel or a normal probability table.

Use the following formula to calculate the minimum sample size required to estimate the percentage of population p within the required margin of error.

n≥p(1-p)(Zc÷E)²

n=0.796×(1-0.796)(1.96÷0.03)²

n=693.1016

Therefore, the  resample sizequired to meet the condition is n ≥ 693.1016 and must be an integer. From this, we conclude that the minimum sample size required is n = 694.

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Answer:

what is the question which you are asking can you please tell

Answer:

Step-by-step explanation:

h

70° is the angle.

every triangle has a total of 180°, therefore 180-80-30=70°

Angle size calculation refers to the use of geometrical laws and invariants to find out how many degrees an angle is. Therefore, it is different from angle size measurement, which includes the use of a protractor or other tools to come up with the result. Calculating an angle's size demands knowledge of complementary, supplementary, and adjacent angles, as well as the properties of geometric shapes.

Subtract the given supplementary angle (its value in degrees) from 180 to calculate the size of the angle in question. Supplementary angles, or straight angles, are those whose sum adds up to 180 degrees.

Repeat the process, this time subtracting the given angle from 90, to calculate the size of an unknown complementary angle. Complementary angles, or right angles, are those summing up to 90 degrees.

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see attachment..........

Governments may restrict trade for several reasons, despite the general consensus among economists that it is detrimental to trade and reduces government efficiency. One primary reason is to protect domestic industries and jobs from foreign competition.

Trade restrictions such as tariffs and quotas can shield domestic producers from international competition, allowing them to maintain market share and employment levels. Governments may also impose trade restrictions for strategic reasons, such as protecting national security interests or preventing the outflow of critical resources.

Trade restrictions refer to government-imposed barriers and regulations that limit the flow of goods and services across international borders.

These restrictions can take various forms, such as tariffs, quotas, embargoes, and regulatory barriers. The reasons for implementing trade restrictions can vary depending on the specific circumstances and goals of the government.

Additionally, political considerations and pressure from special interest groups can influence trade policy decisions. While economists emphasize the benefits of free trade, governments often face complex trade-offs between economic efficiency, domestic interests, and political considerations when formulating trade policies.

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Step 1: The proposed probe for flaw detection in type 316L austenitic stainless steel plates is an eddy current probe with a suitable height, diameter, and frequency.

Step 2: Eddy current testing is an effective non-destructive testing method for detecting flaws in conductive materials. In this case, the eddy current probe should have a suitable height, diameter, and frequency to ensure accurate flaw detection.

The height of the probe should be adjusted to maintain a constant lift-off of 0.2 mm, which is the distance between the probe and the surface of the material being tested. This ensures consistent measurement conditions and reduces the influence of lift-off variations on the test results.

The diameter of the probe should be selected based on the size of the flaws and the desired spatial resolution. It should be small enough to accurately detect the flaws but large enough to cover the entire flaw area during scanning.

The frequency of the eddy current probe determines the depth of penetration into the material. Higher frequencies provide shallower penetration but higher resolution, while lower frequencies provide deeper penetration but lower resolution. The frequency should be chosen based on the expected depth of the flaws and the desired level of sensitivity.

Overall, the eddy current probe with suitable height, diameter, and frequency can effectively detect the artificial flaws in type 316L austenitic stainless steel plates fabricated using a powderbed-based laser metal additive manufacturing machine.

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In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.

The  given standard error of the mean for a sample of 100 is 30. So to cut the standard error of the mean to 15, we have to proceed by increasing the sample size to 400.

The  formula for evaluating the standard error of mean
SEM = SD / √(n)
here, SEM = standard error of the mean,
SD = standard deviation
n = sample size
Staging the values
15 = SD / √(100)
15 x √(100) = SD
SD = 150
Now evaluating for the value of n
15 = 150 / √(n)
15 x √(n) = 150
√(n) = 10
n = 100
Now looking at the formula, we need to decrease SEM by half,

So we proceed by increasing the  sample size by a factor of 4.

In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.

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Answer : Rena's weekly gross earnings are $976.31.

Step-by-step explanation :

As we are given total earning of Rena per year is $50,768.

Now we have to calculate her weekly gross earnings.

As we know that in one year there are 52 weeks.

That means,

1 year = 52 weeks

According to the question:

As, Rena earns in 52 weeks = $50,768

So, Rena earns in 1 week = \(\frac{\$ 50,768}{52}\)

                                          = $976.31

Therefore, Rena's weekly gross earnings are $976.31.

Answer:

58 sides

Step-by-step explanation:

hexagon=6 sides

heptagon=7 sides

hexagon: 6 times 5=30 sides

heptagon: 7 times 4=28 sides

30 sides plus 28 sides equals 58 sides

The board weighs approximately 8.05 pounds. Hence, its density is 46.80  lb/ ft³

The density of something is a measure of how heavy it is in relation to its size. When a thing is more dense than water, it sinks; when an object is less dense than water, it floats. Density is a feature of a substance that is independent of the amount of substance.

The formula for density is given by:

ρ = m/V

Where:

ρ = density

m = mass

V = volume

In this case, the dimension of the oak board is:

wide = 5.5 inches = 0.458 feet

thick = 1.5 inches = 0.125 feet

length = 3 feet

Hence, the volume of the board is:

V = 0.458 x 0.125 x 3 = 0.172 ft³

The weight is 8.05 pounds, therefore, the density:

ρ = 8.05/0.172  lb/ ft³

ρ = 46.80  lb/ ft³

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The cookie cake each student will get is 1/5 .

What is simplest form?

If a fraction's top and bottom share only one additional common element, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Also known as "lowest words," basic form can be heard sometimes.

For example, ¾ is the simplest form of a fraction that has a common factor equal to 1. But 2/4 is not the simplest form, because 2/4 can further be simplified and written as ½.

So 2 divided into 10 students =2/10 =1/5 which is simplest form

So each students will recieve 1/5 of a cake

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The cookie cake each student will get is 1/5 .

What is simplest form?

If a fraction's top and bottom share only one additional common element, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Also known as "lowest words," basic form can be heard sometimes.

For example, ¾ is the simplest form of a fraction that has a common factor equal to 1. But 2/4 is not the simplest form, because 2/4 can further be simplified and written as ½.

So 2 divided into 10 students =2/10 =1/5 which is simplest form

So each students will recieve 1/5 of a cake

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Hello!

\(\large\boxed{\frac{19}{30}}\)

There are 60 minutes in an hour, so:

38 / 60

Reduce the fraction by diving by the GCF, or 2:

(38/2) / (60/2) = 19 / 30.

Answer:

1

Step-by-step explanation:

The options that have the same solution as the rewritten equation 2.3p - 10.1 = 6.49p - 4 are:

Option 2) 2.3p - 10.1 = 6.49p - 4

Option 5) 2.3p - 14.1 = 6.4p - 4

Both of these options are equivalent to the rewritten equation and have the same solution.

To rewrite the given equation, we can combine like terms and simplify:

2.3p - 10.1 = 6.5p - 4 - 0.01p

First, let's simplify the right side of the equation:

6.5p - 4 - 0.01p = 6.49p - 4

The equation becomes:

2.3p - 10.1 = 6.49p - 4

Now, we can compare the rewritten equation to the options provided:

2.3p - 10.1 = 6.4p - 42.3p - 10.1

= 6.49p - 4230p - 1010

= 650p - 400 - p23p - 101

= 65p - 40 - p2.3p - 14.1

= 6.4p - 4.

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Answer:

true

Step-by-step explanation:

A correlation is symmetrical;x is as correlated with y as y is with x. The Pearson product-moment correlation can be understood within a regression context,however.

The central limit theorem is a fundamental concept in statistics that states that the distribution of the sample means of a large number of random samples from a population will be approximately normal, regardless of the shape of the population distribution.

To apply the central limit theorem, you first need to choose a random sample from the population, calculate the mean of the sample, and repeat this process multiple times to create a distribution of sample means.

The central limit theorem states that as the sample size increases, the distribution of sample means will approach a normal distribution, regardless of the shape of the population distribution.

The central limit theorem is important because it allows us to make inferences about a population based on a sample. It is a key principle that underlies many statistical tests and estimation procedures.

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The orientation of the image following a rotation of 180° clockwise or anticlockwise is the same

When PQ is rotated 180° around point R° and the resulting segment is the same as PQ, then; R could be located at the midpoint of PQ

The reason the location of R, given above is correct is presented as follows;

The coordinates of the image of a preimage point (x, y) following a 180° rotation about the origin, is the point (-x, -y)

Given that the resulting segment following reflection of PQ, which is P'Q' is the same as PQ, we have;

Let (x, y) represent the coordinate of point P, and let (-x, -y) represent the coordinate of the point Q, we have;

The coordinate of point P' = the coordinate of the point Q

The coordinate of point Q' = the coordinate of the point P

The slope of the line PQ = (y - (-y))/(x - (-x)) = y/x = (y - 0)/(x - 0)

Therefore, the line PQ passes through the origin and the distance of the from the origin to P is equal to the distance of the origin to Q, given that P is located at (x, y), and Q at (-x, -y), such that the origin O, is the midpoint of PQ

Which gives;

When PQ is rotated about a point, R, located at the midpoint of PQ, the resulting segment Q'P' has the same coordinates as the segment PQ

Therefore, R, could be located at the midpoint of PQ

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The statements about the local maximums and minimums for the given function which are true include:

This is defined as the mathematical entities which assign unique outputs to given inputs and defines a relationship between the two variables.

According the the graph: over the interval [2, 4], the local minimum is –8 because the given minimum point is (3.4, -8) and over the interval [3, 5], the local minimum is –8.

Over the interval [1, 4], the local maximum is 0 and over the interval [3, 5], there is no maximum point hence why it is false.

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The probability of getting two numbers whose sum is greater than 9 is \(\frac{5}{36}\).

To find the probability of getting two numbers whose sum is greater than 9:

The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Set of numbers greater than 9:

{(5, 5), (5, 6), (6, 4), (6, 5), (6, 6)}

Formula:

Favorable event / Total number of events = \(\frac{5}{36}\)

Therefore, the probability of getting two numbers whose sum is greater than 9 is \(\frac{5}{36}\).

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9514 1404 393

Answer:

  126°

Step-by-step explanation:

To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.

  (5x -6) +(3x) = 90

  8x = 96 . . . . . . . . . . . add 6, collect terms

  x = 12 . . . . . . . . . . . . . divide by 8

  3x° = 3·12° = 36° . . . . . . find the "remote" acute angle

  exterior angle = 90° +36°

  exterior angle = 126°

__

The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

1.

∠DCB is the half of the measure of ∠ACB as the angle bisector DC cut it in two equal parts.

2.

The incenter is the intersection of the angle bisectors.

All three angle bisectors lie inside the triangle, hence the incenter is always inside.

Answer:

  g(f(x)) = 8x^3-24x^2+34x-18

Step-by-step explanation:

The composition is ...

  \((g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}\)

Answer:

1) -7929

2) -2401

3)-5414

4) -7592

5) 12888

6)-237726

7) 7287

8)-4588

9)-394495

10) 891856