Write the equation of the line given a slope of -2 and a y- intercept of 4

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

x = -11

Step-by-step explanation:

Since we know that x + 21 is the total length of the line shown

2x + 23 + 9 = x + 21

2x + 32 = x + 21

-x            -x

x + 32 = 21

    -32   -32

x = -11

Answer:

300

Step-by-step explanation:

Add all outside values (height is irrelevant) to receive the perimeter

You get the answer of 300

Hope this helps

Answer:

2(3x+6)=18

6x+12=18

6x+12-12+18-12

6x=6

6x/6=6/6

x=1

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

Number 1 is arithmetic . The common difference (d) = 3.6.

Number  3    ..    ..    ..       .... .. ....................................  d = -4.

Number   4 ........................................................................ d = 6.

Answer: A C D (in green in file)

Step-by-step explanation:

Here is a excel file that do the job.

Data are in lines 1 and 2.

there are only 2 formula.(in B1 and B2)

Others cells are just copied (incrementiel)

Answer:

Step-by-step explanation:

Use the formulas that allow us to find the point that divides the segment into a ratio which is

\(x=\frac{bx_1+ax_2}{a+b}\)  and  \(y=\frac{by_1+ay_2}{a+b}\) where a is 1 (comes from the ratio) and b is 3 (comes from the ratio as well). Filling in:

\(x=\frac{3(9)+1(6)}{1+3}=\frac{27+6}{4}=\frac{33}{4}\) and then y:

\(y=\frac{3(-1)+1(-10)}{1+3}=\frac{-3-10}{4}=-\frac{13}{4}\) so the coordinates in question are

\((\frac{33}{4},-\frac{13}{4})\)

Answer:

Step-by-step explanation:

the answer would be (7,-7)

Answer:

its B :)

Step-by-step explanation:

I hope this helps ^^

Political sessions were attended by 707 representatives from all of South America.

Ratios: A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girl.

It has been reported that 8,475 persons attended a political event in South America.

The 12 nations and 3 territories of South America were equally

represented.

The proportion of attendees from each nation to the total number of

countries indicates the number of representatives who attended.

How many representatives there are is =

total number of attendees / total number of participating nations

8,475 / 12 = the number of representatives

There are 706.25 x 707 representations.

Consequently, 707 delegates from each nation attended political conferences.

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The coins in the stack if its height is 1414 mm and the thickness of the coins are penny 1.55 mm, nickel 1.95 mm, dime 1.35 mm, and quarter 1.75 mm is 214.

The thickness of the coins are

Penny 1.55 mm

Nickel 1.95 mm

Dime 1.35 mm

Quarter 1.75 mm

The stack which contains the given coins is 1414 mm high.

Now to find the number of coins we can divide the total thickness of the coins with the height of the given stack.

Total thickness of available coins = 1.55 + 1.95 + 1.35 + 1.75 = 6.6

The total height of stack = 1414 mm

Number of coins in the stack = 1414/6.6 = 214.24

The number of coins are 214

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Noah is right. A 180 degree rotation, with center P, will create the same image as reflecting over line `m`.

The lines 'l' and 'm' are perpendicular. We can imagine it as a quadrant with  line 'l' and 'm' two perpendicular axes. So the angle between them is 90 degree at P, where P is the intersection point of 'l' and 'm'.

So to rotate the line 'l' 180 degree, first we rotate it 90 degree which will give the line 'm' itself and another 90 degree from there takes the line 'l' to its opposite side through line 'm'. This is exactly the reflection of line 'l' over line 'm'. The 180 degree rotation is the reflection only for two perpendicular lines.

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(a) correctly describes the relationship between a parameter and a statistic.

The correct description is:

a) A statistic is calculated from sample data and is generally used to estimate a parameter.

In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.

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Answer:

x=21

Step-by-step explanation:

since the triangle is isosceles, the two lower angles are equal.

2(2x+3)=90

4x+6=90

4x=84

x=21

Answer:

140 degrees

Step-by-step explanation:

The angle is and obtuse angle, which means x (the angle) is greater than a 90°.

an obtuse angle goes up until 180°, and of you use the opposite angle to solve for x, you get the degree of angle x.

the other angle is stated, 40°

use 180 to find X°

180 - 40 = 140

Answer:

I think this is free points?

Thanks!

Step-by-step explanation:

            May I have brainiest please I'm trying to level up!

                       </3 PureBeauty

Answer:

5.98/pound in small bag

5.45/pound in large bag

the larger bag is better to buy

Step-by-step explanation:

Hope this helps:P

Answer:

B. 3x+9

hope this helped

The wavelength λ2 for visible light with frequency f2 = 6.35×10^14 Hz is approximately 4.72 x 10^-7 meters.

We can use the formula relating frequency and wavelength of electromagnetic radiation to find the wavelength of the visible light with frequency f2:

λ = c / f

where λ is the wavelength, c is the speed of light in a vacuum (which is approximately 3.00 x 10^8 m/s), and f is the frequency.

Substituting the given frequency f2 = 6.35×10^14 Hz into this formula, we get:

λ2 = c / f2

= 3.00 x 10^8 m/s / (6.35 x 10^14 Hz)

≈ 4.72 x 10^-7 m

Therefore, the wavelength λ2 for visible light with frequency f2 = 6.35×10^14 Hz is approximately 4.72 x 10^-7 meters.

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Solution of the equation 3x - 14 =  4 will be x=6

What are Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

3x - 14 =  4

⇒3x = 4 +14 (adding 14 on both side)

⇒x = 18 / 3 (dividing 3 from both sides)

⇒x = 6

Hence, Solution to the equation 3x - 14 =  4 will be x=6

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Answer:

x = 19°

Step-by-step explanation:

The personnel director in this scenario is performing a convenience sampling.

Convenience sampling is a type of non-probability sampling method where the researcher selects participants based on their accessibility and proximity to the researcher. In this case, the personnel director chose employees from the department nearest her office for the study.

This approach may not provide a fully representative sample of the entire company's employee population, as it doesn't account for possible differences in eating habits across various departments. Therefore, the findings from this study might not accurately represent the proportion of employees who buy lunch in the cafeteria, bring their own lunches, or go out to lunch for the entire company.

To obtain more accurate results, the director might consider employing a probability sampling method, such as simple random sampling or stratified sampling, to ensure a more representative sample of the company's employees.

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Answer:

\(4\frac{1}{4}\)

Step-by-step explanation:

The fraction of bushels of tomatoes that Tony picked up = 5 \(\frac{1}{2}\)

The fraction of bushels that he gave to his grandmother = 1 \(\frac{2}{8}\)

The fraction of bushels he sold =?

To find the answer for the above, you have to subtract the fraction of bushels of tomatoes he gave by the fraction of bushels of tomatoes that he picked.

Let us solve.

The fraction of bushels of tomatoes he sold :

5 \(\frac{1}{2}\) - 1 \(\frac{2}{8}\)

First, make both the above improper fractions.

\(\frac{11}{2} -\frac{10}{8}\)

To make the denominators of the fractions common, multiply both sides of 11/2 by 4.

\(\frac{11*4}{2*4} -\frac{10}{8}\)

\(\frac{44}{8} -\frac{10}{8}\)

Now subtract the fractions.

\(\frac{44-10}{8}\)

\(\frac{34}{8}\)

Now to write the fraction in its simplest form divide both sides by 2.

\(\frac{17}{4}\)

Now make the answer a mixed number.

\(4\frac{1}{4}\)

Therefore,

The question is to solve the differential equation x'=2(100-x)

or, dx/dt=200- 2x

or, ∫dx/(200-2x) = ∫dt.  Now, put 200-2x=z. Or, -2dx=dz.

substituting the variables, we get

-(1/2)∫dz/z= dt

or, -(1/2) ㏑z= t + ㏑c

or, ln z= -(2t+ 2*㏑c)

or, z= (1/c²)*exp(-2t) substituting the value of x in z and 1/c²=c1

x= (200- c1* exp(-2t))/2  putting c1/2=c2

or, x= 100- (c2*exp(-2t)).

x(0) =80 or, 100-80= c2 or, c2=20

so, x= 100- (20*exp(-2t))

now x(t)=40, or, 40=100- (20*exp(-2t))

or, 60/20= exp(-2t)

or, ㏑3=-2t

or, t= -0.54

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Answer: 5/42

Step-by-step explanation:

\(\large\boxed{Formula: A= P(1+ \frac{R}{100}{)}^{T}}\)

Let's substitute according to the formula.

\(A= 50000(1+ \frac{10}{100}{)}^{5}\)

A= $80525.5

Now, we can find the interest paid

\(\large\boxed{I= A-P}\)

We'll have to deduct the total amount from the principal amount.

Let's substitute according to the formula.

\(I= 80525.5-50000\)

I= $30525.5

Hence, the total amount paid after 5 years is $80525.5 and $30525.5 was paid as interest.

The central limit theorem tells us that the distribution of the sample mean will be approximately normal if the sample size is sufficiently large. This information can be used to calculate the standard error and construct confidence intervals.

The sampling distribution of the sample mean is approximately normally distributed.

This statement is true. When the sample size is large\((n ≥ 30),\) the sampling distribution of the sample mean is approximately normally distributed. The sample mean is the mean of the sample's measurements, while the sampling distribution of the sample mean is the distribution of all possible sample means with a particular sample size.The central limit theorem guarantees that the sampling distribution of the sample mean is approximately normal if the sample size is large enough. This is due to the fact that the distribution of the population is not necessary. This theorem allows us to use the normal distribution in inferential statistics, making it an important theorem in statistics. When the sample size is less than 30, it is appropriate to use the t-distribution instead of the normal distribution because the t-distribution takes into account the extra uncertainty generated by the smaller sample size.The sampling distribution is critical to statistical inference because it helps us estimate population parameters by making inferences based on sample statistics. For instance, suppose we want to know the mean salary of all the employees in a firm. We could take a random sample of employees and calculate their average salary.

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The area of the square-shaped park is approximately 2628.125 square meters.

Let's assume that the park is a perfect square, with each side equal to "x" meters.

If the boy covers a distance of 1025 m by going around the park 5 times, then the total distance covered by the boy is:

total distance = 5 * perimeter of the park

Since the park is a square, its perimeter is given by:

perimeter of park = 4 * x

So, we can write:

5 * 4 * x = 1025

Simplifying this equation, we get:

x = 1025 / 20 = 51.25

Therefore, each side of the square-shaped park is 51.25 meters long.

The area of the square is given by:

area of park = x^2

Substituting the value of "x", we get:

area of park = (51.25)^2 = 2628.125 sq.meters (approx)

Therefore, the area of the square-shaped park is approximately 2628.125 square meters.

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