Solve y = -x -2 and 3x + 3y = 6 using substitution

The column that will be best for the above data to be sorted by is the table  labelled "Number of Cases".

2) The question that can be asked when the table is sorted by this column is " what was the year with the highest number of whooping cough cases and how many cases were reported?"

It is easy to see that this is a data analysis prompt. Note that the question above makes room for the analsis of the outbreak of whooping cought in relation to the various years.

Such analysis allows for the dicovery of underlying information that can be used going forward for decision making.


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The probability that the mean number of forks dropped during the 80 days will be more than 25 is approximately 0.0885 or 8.85%.

We'll be using the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the population's distribution.

In this case, we have a multimodal distribution with a mean (μ) of 24.5 and a standard deviation (σ) of 3.3.

We want to find the probability that the mean number of forks dropped in a sample of 80 days (n) will be more than 25.
Calculate the standard error of the mean (SE).
SE = σ / √n = 3.3 / √80 ≈ 0.369.

Calculate the z-score for the desired mean (25) using the formula:
z = (x - μ) / SE = (25 - 24.5) / 0.369 ≈ 1.35
Find the probability that corresponds to the z-score.
Using a z-table or an online calculator, we find that the area to the left of z = 1.35 is approximately 0.9115.

Since we want the probability of the mean being more than 25, we'll take the complement:
Probability (mean > 25) = 1 - 0.9115 ≈ 0.0885.

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Answer:

The weight, in pounds, of one bag of beans.

Step-by-step explanation:

Since we know that there are 15 bags of beans, we can eliminate the first option and anything about something other than th e beans. Also, we know that we are not given the information on how heavy the bag of beans are, so with process of elimination, the 3rd one is the answer.

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

Answer:

5 81/100

Step-by-step explanation:

Answer:

5.81 in fraction form is 581/100.

Step-by-step explanation:

Address input parameters & values.

Input parameters & values: The decimal number = 5.81

Write it as a fraction

5.81/1

Multiply 100 to both numerator & denominator

(5.81 x 100)/(1 x 100) = 581/100

It can be written as 581% = 581/100 or 581/100

To simplify 581/100 to its lowest terms, find LCM (Least Common Multiple) for 581 & 100.

1 is the LCM for 581 & 100

As LCM is 1, the fraction can't be factorized further

The value of m and n that shows that point p(m,5-n) when reflected on line y=0 is m = 3, n = 3.

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

The rule for the reflection over the line y = 0 (x axis) is (x, y) ⇒ (x, -y)

If the point p(m,5-n) is reflected on line y=0, this would give (m, -(5 - n)) = p'(2m-3,2n-8). Hence:

2m - 3 = m

m = 3

Also:

-(5 - n) = 2n - 8

-5 + n = 2n - 8

n = 3

The value of m and n that shows that point p(m,5-n) when reflected on line y=0 is m = 3, n = 3.

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Answer:

-23

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

Answer:

Once.

Step-by-step explanation:

When the equation is graphed the x-axis is intersected/touched only once.

It crosses the x-axis at coordinates (-1 , 0)

When graphed it looks like this:

Analysis of variance (One-Way ANOVA) test should dr. Symon uses to examine the effects of the drug.

Randomly assign his rats into 4 groups G1, G2, G3 and G4.

G1 = No amphetamine

G2 = 0.5 mg/kg

G3 = 1.0 mg/kg

G4 = 2 mg/kg.

what initial statistical test should dr. symon use to examine the effects of the drug?

In order to ascertain whether there is statistical support that the associated population means are statistically significantly different, one-way ANOVA ("analysis of variance") compares the means of two or more independent groups. A parametric test is one-Way ANOVA.

Another name for this test is:

ANOVA with one factor

ANOVA with a single-way analysis of variance between subjects

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Answer:

substitution property of equality

Step-by-step explanation:

im assuming this means that you substitute x's value of 2 into the equation y=3x2-11. i'm guessing that it's meant to be 3x2, instead of 3.2. i hope this makes sense, and i hope i answered it as you needed!

Answer:

substitution property of equality

Step-by-step explanation:

if

  x = 2

  y = 3x - 11

then

  y = 3 x 2 - 11

2 was substituted for x

around 67.046 meters. hope it helps :)

The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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#1)

#2)

⇢3.9+5 = 8.9

⇢2.1 +5 = 7.1

⇢0.8+5 = 5.8

⇢1.5 +5 = 6.5

⇢4.1 +5 = 9.1

#3)

[ Thanks to fieryanswererft ]

Data: {3.9, 2.1, 0.8, 1.5, 4.1}

mean: sum of numbers/total numbers

⇒ mean: (3.9+2.1+0.8+1.5+4.1)/5 = 2.48

If all the data's are increased by 5

{8.9, 7.1, 5.8, 6.5, 9.1}

Then mean ⇒ (8.9+7.1+5.8+6.5+9.1)/5 ⇒ 7.48

If the data is doubled.

{7.8, 4.2, 1.6, 3, 8.2}

Then mean ⇒ (7.8+4.2+1.6+3+8.2)/5 ⇒ 4.96

Answer:

d=rt is basically y=mx+b but with different variables. B is where the line intercepts the y axis and since this line intercepts at 0, 0 b can automatically be deleted from the equation. therefore d=rt is equivilent to y=mx

The slope is 6. I know this by looking at the first point of the line (0, 0) and finding the next point on the line (1, 6). To get from 0, 0 to 1,6 you need to go up 6 and over 1. Since rise/run is the slope of a line 6/1 or 6 is the slope.

At 1, 6 we see that in 1 hour, joseph went 6 miles. Therefore the constant rate is 6 miles per hour (6 mp/h.)

The slope, already found, is 6 and therefore if d=rt is equivilent to y=mx we can write our equation as d=6t

6 mp/h

d=6t

Step-by-step explanation:

As a general guideline, the research hypothesis should be stated as the alternative hypothesis, which is the statement that researchers are trying to support or prove.

The research hypothesis is a statement that describes the expected relationship between variables or the expected difference between groups in a research study. It should be based on a clear and specific research question, and it should be testable using appropriate statistical methods.

In other words, the research hypothesis should be a clear and concise statement that proposes a relationship or difference between variables that can be tested through data analysis. It should also be framed in a way that allows for the rejection or acceptance of the hypothesis based on the results of the study.

The null hypothesis, on the other hand, is the statement that there is no significant relationship or difference between variables. It serves as the default assumption until evidence is provided to support the alternative hypothesis.

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A research hypothesis should be stated as the predicted outcome of the study. It's often a declarative sentence that shows the relationship between variables in a study. The research hypothesis is often contrasted with a null hypothesis, which claims no significant relationship between the study's variables.

In general, a research hypothesis should be stated as the predicted outcome of the study. A research hypothesis is usually written in a declarative sentence format and states the relationship between variables in the study. For example, if your research is about studying the impact of amount of study time on test scores, your hypothesis could be: 'Students who spend more time studying will have higher test scores.'

The research hypothesis is often contrasted with a null hypothesis, which states there will be no significant relationship between the study's variables. In our example, the null hypothesis would be: 'The amount of study time will not impact the test scores significantly.' Remember, a research hypothesis should always be testable through research methods.

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The conditions on a, α, ας, and da for the system to be asymptotically stable are: a + α3 - α³ - aας² - Q5ας > 0 , a + α3 - α³ - aας² - Q5ας ≠ 0

If any of these conditions do not hold, the system is unstable.

To determine the conditions on the parameters a, α, ας, and da for the given system to be (a) asymptotically stable, (b) stable in the sense of Lyapunov, or (c) unstable, we need to analyze the eigenvalues of the system matrix. Let's proceed step by step.

Step 1: Define the system matrix A

The given system can be written as:

i(t) = 0 0 -1 0 0 × x(t)

a α3 0 0

Q5 0 0 α

ας 0 0 -a

da

Let A be the system matrix:

A = 0 0 -1 0 0

a α3 0 0

Q5 0 0 α

ας 0 0 -a

da

Step 2: Compute the eigenvalues of A

To determine the stability of the system, we need to find the eigenvalues of matrix A.

Eigenvalues are the solutions to the characteristic equation:

|A - λI| = 0

where I is the identity matrix and λ is the eigenvalue.

Calculating the characteristic equation for matrix A:

| A - λI | = 0

| -λ 0 -1 0 0 |

| a-λ α3 0 0 0 |

| Q5 0 -λ 0 α |

| ας 0 0 -λ -a |

| da 0 0 0 -λ |

Expanding the determinant using the first row:

( -λ ) ×det(α3 0 0 α | 0 -λ 0 ας | 0 0 -λ -a | 0 0 0 -λ)

( Q5 0 -λ 0 | ας 0 0 -λ | da 0 0 0 )

= (-λ) × [α³ ×-λ) × (-λ) - 0 × α × ας× da + 0× 0 × (-λ)×da + 0× ας× 0× da + 0×0× (-λ)×ας - Q5× (-λ) × 0× da]

- [0× (-λ)× (-λ) - (-λ)× α× 0× da + α3×0×(-λ)×da + 0×ας× 0× da - Q5×ας× 0 × 0]

Simplifying further:

λ⁵ + (a + α3 - α³ - aας² - Q5ας)λ³ - (a + α3 - α³ - aας² - Q5ας)λ = 0

Step 3: Analyze stability conditions

(a) Asymptotic stability:

For the system to be asymptotically stable, all the eigenvalues must have negative real parts. This means that the real parts of all eigenvalues must be negative.

(b) Stability in the sense of Lyapunov:

For the system to be stable in the sense of Lyapunov, all the eigenvalues must have non-positive real parts. This means that the real parts of all eigenvalues must be less than or equal to zero.

(c) Unstable:

If any eigenvalue has a positive real part, the system is considered unstable.

Based on the characteristic equation derived earlier, we can analyze the conditions for stability:

(a) Asymptotic stability:

All eigenvalues have negative real parts if and only if the following conditions hold:

a + α3 - α³ - aας² - Q5ας > 0

a + α3 - α³ - aας² - Q5ας ≠ 0

(b) Stability in the sense of Lyapunov:

All eigenvalues have non-positive real parts if and only if the following conditions hold:

a + α3 - α³ - aας² - Q5ας ≥ 0

(c) Unstable:

If any eigenvalue has a positive real part, the system is considered unstable.

Therefore, the conditions on a, α, ας, and da for the system to be asymptotically stable are:

a + α3 - α³ - aας² - Q5ας > 0

a + α3 - α³ - aας² - Q5ας ≠ 0

The conditions for stability in the sense of Lyapunov are:

a + α3 - α³ - aας² - Q5ας ≥ 0

If any of these conditions do not hold, the system is unstable.

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Answer:

5

Step-by-step explanation:

Let x be that number.

(x^2) - 40 = 3x

x^2 - 40 = 3x

x*2-3x-40=0

(x-5)(x+8)=0

x=5

Answer:

Step-by-step explanation:

\(f(n) = -3+7(n-1) \\ \)

where

n is the nth term

From the question we are finding the 72nd term that's n = 72.

Substitute the value into the above formula and solve

That's

\(f(72) = - 3 + 7(72 - 1) \\ = - 3 + 7(71) \\ = - 3 + 497\)

We have the final answer as

Hope this helps you

To find the cost of one bottle of water, we need to divide the total cost of the case by the number of bottles in the case, which is 24.

So,

Cost of one bottle of water = Total cost of case / Number of bottles in case

= $2.99 / 24

= $0.1246

Rounding this to two decimal places, we get:

Cost of one bottle of water = $0.12

Therefore, one bottle of water costs $0.12.

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Answer:

x = 20, y = 3

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{TU}{QR}\) = \(\frac{UV}{RS}\) ( substitute values )

\(\frac{x}{4}\) = \(\frac{30}{6}\) = 5 ( multiply both sides by 4 )

x = 20

and

\(\frac{QS}{TV}\) = \(\frac{RS}{UV}\) ( substitute values )

\(\frac{y}{15}\) = \(\frac{6}{30}\) ( cross- multiply )

30y = 90 ( divide both sides by 30 )

y = 3

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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Answer:

Arithmetic sequence:  \(a_{n}=a_{1}+(n-1)d\)

Geometric sequence: \(a_{n}=a_{1}(r)^{n-1}\)

Step-by-step explanation:

The arithmetic sequence: is the sequence whos terms increased or decreased by a constant amount.

Examples:

The explicit formula for the nth term of the arithmetic sequence is:

The geometric sequence: is the sequence whos consecutive terms have a constant ratio

Examples:

The explicit formula for the nth term of the geometric sequence is:

* Arithmetic sequence          →→→→→→   Geometric sequence

 Has a constant difference    →→→→→→    Has a constant ratio

 \(a_{n}=a_{1}+(n-1)d\)                  →→→→→→    \(a_{n}=a_{1}(r)^{n-1}\)

 \(d=a_{n}-a_{n-1}\)                          →→→→→→    \(r=\frac{a_{n}}{a_{n-1} }\)

The scale of the diagram as described in the task content is; 1: 8 where k= 8.

It follows from the task content that the original length of the room in discuss is 8cm. It therefore follows that the length of the room in the scale diagram is 1cm. On this note, the scale of the diagram in discuss is; 1 : 8 as 1cm on the diagram corresponds to 8cm actual length.

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The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

The equation of a line in slope-intercept form is expressed as;

y = mx + b

where;

m is the slope

b is the y-intercept

For two lines to be perpendicular, the product of their slope must be -1

Given the equation 2x - y =7​

Rewrite

y = 2x - 7

The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

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The economic order quantity (EOQ) for the switch connectors is approximately 97 units.

To determine the economic order quantity (EOQ) for the switch connectors, we can use the following formula:

EOQ = √((2 * Annual Demand * Order Cost) / Holding Cost)

Given the following information:

Annual Demand = 15,400 units

Holding Cost = $24 per unit

Order Cost = $74 per order

Plugging in the values into the formula, we get:

EOQ = √((2 * 15,400 * 74) / 24)

EOQ = √(227,200 / 24)

EOQ = √(9,466.67)

EOQ ≈ 97.28

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Answer:

20 degrees

I know that it is acute, meaning it is less than 90. It is also less than 45 degrees, and is in the middle of 45 to 0 degree interval, so I say it is 20 degrees.

Answer:

B

Step-by-step explanation:

When you insert

\( \sqrt{15} \)

into you calculator you will get : 3.8729833....

and point B is located around that value.

Before finding the probability of being dealt 4 Aces of cards, let's find the probability of being dealt an Ace card on each draw.

The probability of getting an specific card from a deck is given by the ratio between the amount of this specific card and the total amount of cards. We have 4 Aces in a deck, and 52 cards, therefore, the probability of getting an Ace is

Since the cards are replaced, it is the same probability of getting an Ace on each draw.

Each draw is an independent event, the probability of them happening simultaneously is given by their product. The probability of being dealt 4 Aces of cards with a replacement is

The mean of a data set is the average of all the values, while the range is the difference between the maximum and minimum values. In this case, the mean is given as 22 and the range as 16.

To find the data set, we need to consider all the possible values that satisfy these conditions.

Let's start by finding the minimum and maximum values. Since the range is 16, the maximum value must be 16 greater than the minimum value.

Let's assume the minimum value is x. Then, the maximum value would be x + 16.

To find the mean, we need to sum up all the values in the data set and divide by the number of values. In this case, we only have two values.

The sum of the values would be x + (x + 16) = 2x + 16.

The mean is given as 22, so we can set up the equation:

(2x + 16)/2 = 22

Simplifying the equation:

2x + 16 = 44

2x = 28

x = 14

So, the minimum value is 14, and the maximum value would be 14 + 16 = 30.

Therefore, the data set would be {14, 30}.

In conclusion, the data set that satisfies the given conditions of a mean of 22 and a range of 16 is {14, 30}.

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