how do you ensure accurate predictions using data correlation? which are the most effective methods?

To find the year in which both bodies of water have the same amount of mercury, we can use the equation y = (0.12 - 0.05) / (0.1 - 0.06).

The equation is derived from the concept that the year when both bodies of water have the same amount of mercury occurs when the difference in their initial measures (0.12 - 0.05) is divided by the difference in their rates of increase (0.1 - 0.06).

By plugging in the given values, we have y = 0.07 / 0.04, which simplifies to y = 1.75.

Therefore, the equation y = (0.12 - 0.05) / (0.1 - 0.06) can be used to determine that in approximately 1.75 years, both bodies of water will have the same amount of mercury.

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Answer:

Chili I think, I don't know for certain

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Slope=(1-(-13))/(0-2))=-7. m is - 7 which is negative.

Answer:

|-7| - 7 =  0

2 |-7| =  14

( -7 )^2 =  49

-7^2 =  49

-7 -|-7| =  -14

Step-by-step explanation:

Q1.1.1 The probability of randomly selecting a male respondent from the sample is 0.4. Q.1.1.2 The probability of randomly selecting a respondent who is female and prefers HP is 0.275. Q.1.1.3 The probability of selecting a male respondent, given that the preferred brand is Lenovo is 0.4545. Q.1.1.4 The probability of selecting a respondent who is male or who prefers HP is 0.575. Q.1.1.5 The probability of selecting a respondent who does not prefer Lenovo is 0.725.

Q.1.1.1 What is the probability of randomly selecting a male respondent from the sample?

The probability of randomly selecting a male respondent is given by the number of male respondents divided by the total number of respondents:

Probability = No. of Males / Total = 160 / 400 = 0.4

Q.1.1.2 What is the probability of randomly selecting a respondent who is female and prefers HP?

The probability of randomly selecting a respondent who is female and prefers HP is given by the number of females who prefer HP divided by the total number of respondents:

Probability = No. of Females who prefer HP / Total = 110 / 400 = 0.275

Q.1.1.3 What is the probability of selecting a male respondent, given that the preferred brand is Lenovo?

The probability of selecting a male respondent, given that the preferred brand is Lenovo, is given by the number of males who prefer Lenovo divided by the total number of respondents who prefer Lenovo:

Probability = No. of Males who prefer Lenovo / Total No. of respondents who prefer Lenovo = 50 / 110 = 0.4545

Q.1.1.4 What is the probability of selecting a respondent who is male or who prefers HP?

The probability of selecting a respondent who is male or who prefers HP is given by the sum of the probabilities of selecting a male respondent and selecting a respondent who prefers HP, minus the probability of selecting both (to avoid double counting):

Probability = (No. of Males / Total) + (No. of Females who prefer HP / Total) - (No. of Males who prefer HP / Total)

Probability = (160 / 400) + (110 / 400) - (40 / 400) = 0.4 + 0.275 - 0.1 = 0.575

Q.1.1.5 What is the probability of selecting a respondent who does not prefer Lenovo?

The probability of selecting a respondent who does not prefer Lenovo is given by the number of respondents who do not prefer Lenovo divided by the total number of respondents:

Probability = (Total - No. of respondents who prefer Lenovo) / Total

Probability = (400 - 110) / 400 = 290 / 400 = 0.725

The complete question is:

The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of notebook:

                              HP  Lenovo  Dell  Total

No. of Females        110    60   70    240

No. of Males             40    50   70    160

Total                        150    110  140    400

Q.1.1.1 What is the probability of randomly selecting a male respondent from the sample?

Q.1.1.2 What is the probability of randomly selecting a respondent who is female and prefers HP?

Q.1.1.3 What is the probability of selecting a male respondent, given that the preferred brand is Lenovo?

Q.1.1.4 What is the probability of selecting a respondent who is male or who prefers HP?

Q.1.1.5 What is the probability of selecting a respondent who does not prefer Lenovo?

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Answer:

PEMDAS

Step-by-step explanation:

USE PEMDAS

Answer:

It should be ≈ 6,6

calculated the angle <CAB and both are 90°. But that would mean BC is wrong

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Given DEF ≅ GJH, find each missing measure: The missing measures in the triangles DEF and GJH can be found by examining the corresponding parts, such as the sides and angles, of both triangles.

If two triangles are congruent, then all their corresponding sides and angles are equal.In triangle DEF, using the correspondence with triangle GJH, it can be found that:\(DE = GJEF = JHFD = GHF\)or this reason, the missing measures in triangle DEF and triangle GJH are equal.Measure of DE = measure of GJ = 7 cmMeasure of EF = measure of JH = 4 cmMeasure of FD = measure of GH = 6 cmGiven GHJ ≅ XYZ, find each missing measure: In a similar way, the missing measures in the triangles GHJ and XYZ can be found. Using the correspondence with triangle XYZ, the missing measures in triangle GHJ can be found, and vice versa.The following are the corresponding parts of triangles GHJ and\(XYZ:GH = XYHJ = XZGJ = YZ\)

Angle GJH = angle YZX

Angle GHJ = angle XYZ

Angle HJG = angle XZY

Using the above correspondences, the missing measures in the triangles GHJ and XYZ can be found.The measure of GH = the measure of XY = 4 cm

The measure of HJ = the measure of XZ = 6 cm

The measure of GJ = the measure of YZ = 5 cm

The angle GJH = the angle YZX = 75 degrees

The angle GHJ = the angle XYZ = 30 degrees

The angle HJG = the angle XZY = 75 degrees.

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Answer:

$450. The amount Antonio bought the tv for was $450.

Step-by-step explanation:

If all the tv's are 30%, multiple 30 by the price of the tv he wants, giving you 45000. Then, divide by 100 because a percent is out of a hundred, giving you $450

Formula:

(30x1500)/100

Let

y ------> the total payment to the phone company monthly

x -----> the number of text

we have that

March

72.60=0.05x+35

solve for x

0.05x=72.60-35

0.05x=37.6

x=752 text

April

we have

565.85=0.05x+35

solve for x

0.05x=565.85-35

0.05x=530.85

x=10,617 text

Answer:

9/14

Step-by-step explanation:

The question is not clear enough. Here is a similar question as shown in the attachment

Given the expression

-3/2 ÷ -7/3

= -3/2 ×-3/7

= (-3*-3)/(2*7)

= 9/14

Hence the equivalent result expressed as a fraction is 9/14

Answer:

1/3

Step-by-step explanation:

Answer:

Θ = 5 radians

Step-by-step explanation:

arc length is calculated as

arc = circumference of circle × fraction of circle

here arc length = 15 , then

2πr × \(\frac{0}{2\pi }\) = 15 ( r is the radius )

2π × 3 × \(\frac{0}{2\pi }\) = 15 ( cancel 2π on numerator/ denominator )

3Θ = 15 ( divide both sides by 3 )

Θ = 5 radians

Answer:

42 acres to 72 acres, there is an increase of 30 acres

percentage wise

72-42=30

30/72=.4166...

therefore there is also a 41.6% increase

Step-by-step explanation:

71.42 Percentage change:×100%

Now, the change is given from 42 acres to 72 acres, therefore

Change= 72-42=30

⇒Percentage change= ×100%

                                   = 71.42

Answer:

B

Step-by-step explanation:

angle 1: 50°

angle 2: 65°

All 3 sides of a triangle must add up to 180°

We can create an equation given this information to solve for the third angle, let's call it x

50 + 65 + x = 180

115 + x = 180

-115         -115

x = 65° or B

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The length  of LM is approximately 4.8 cm to the nearest 10th of a centimeter.

How to find angle of the triangle ?

To find the angle of a triangle, you need to know the lengths of its sides or the relationship between the lengths of its sides. There are different methods for finding angles depending on the information you have about the triangle. Here are a few examples:

Law of sines: If you know the lengths of two sides of a triangle and the angle between them, you can use the law of sines to find the angle opposite the longer side. The law of sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides. So, you can set up the equation:

sin(A) / a = sin(B) / b

where A and B are the angles opposite the sides a and b, respectively. Solve for the angle A to find the measure of the angle.

Law of cosines: If you know the lengths of all three sides of a triangle, you can use the law of cosines to find the angle opposite the longest side. The law of cosines states that:

c² = a² + b² - 2ab*cos(C)

where c is the length of the longest side (the side opposite angle C), and a and b are the lengths of the other two sides. Solve for cos(C) and then use the inverse cosine function to find the measure of angle C.

Right triangles: If you have a right triangle, you can use the properties of right triangles to find the angles. The sum of the measures of the two acute angles in a right triangle is always 90 degrees, so if you know one of the acute angles, you can find the other one by subtracting it from 90 degrees.

These are just a few methods for finding angles in a triangle. There are many other techniques depending on the specific information you have about the triangle.

To find the length of LM, we can use the law of sines which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides. That is,

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides of the triangle and A, B, and C are the angles opposite those sides.

In this case, we know the length of KL is 1.2 cm, and we want to find the length of LM. Let's call the length of LM x. Then, we can use the law of sines to set up the following equation:

1.2/sin(93°) = x/sin(81°)

Solving for x, we get:

x = (1.2 × sin(81°)) / sin(93°)

Using a calculator, we get:

x ≈ 4.8 cm

Therefore, the length of LM is approximately 4.8 cm to the nearest 10th of a centimeter.

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Answer:

draw a diagram, ASA law of sines, find another angle, plug in, opposite sides go together.

≈1.2133≈1.2

The smaller percent change of push-ups is on Monday with 50%

On Monday, the change in pushups is:

(30 - 20)/20 = 10/20 = 1/2

This represents (1/2) * 100 = 50 percent

On Friday, the change in pushups is:

(40 - 25)/25 = 15/25 = 3/5

This represents (3/5) * 100 = 60 percent

Monday is 50%

Friday is 60%

Therefore, the smaller percent change occured on Monday, with 50 percent

Answer:

The Answer Is

L

Take A Big Fat L

LOL

Step-by-step explanation:

Answer:

A.CBA

hope this helps you

Hello.

First, find the cost of 1 orange by dividing 75 by 15:

75÷15=Rs 5

So that's the cost of 1 orange.

Now, multiply that by 12:

5×12=Rs 60

Therefore, the cost of 12 oranges is Rs 60

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

Based on the given options, the statement that best describes the regression cannot be determined without additional information.

The options do not provide any details about the regression coefficients, R-squared value, or p-values, which are necessary to make a meaningful statement about the regression. It is not possible to determine the quality of the predictions or the significance of the regression based solely on the dependent variable and sample size.
Your answer: B) Statistically significant and quite small MPG prediction errors

This option best describes a regression with a strong relationship between the independent variable (e.g., car characteristics) and the dependent variable (highway miles per gallon). The statement suggests that the model is statistically significant, meaning it can reliably predict MPG, and the prediction errors are small, indicating good accuracy in the predictions.

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Answer:

$182534.5

Step-by-step explanation:

Step one:

given data

In 2014 Lucy's house was worth 200,000

The value of the house increased by 3% every year

Time period = 3 years

Step two:

let us find the value after 3 years

Year one

value= 200000- 0.03*200000

value= 200000-6000

value= 194000

Year two

value= 194000- 0.03*194000

value= 194000-5820

value= 188180

Year three

value= 188180- 0.03*188180

value= 188180-5645.4

value= $182534.5

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

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Answer:

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Given equation,

→ 3x - 12 = 15

Now the value of x will be,

→ 3x - 12 = 15

→ 3x = 15 + 12

→ x = 27/3

→ [ x = 9 ]

Hence, the value of x is 9.

Answer:

a random sample of size 5 from a population that is approximately normal

a random sample of size 60 from a population that is strongly skewed to the left.

Step-by-step explanation:

They are both correct

Answer:

D. Approximately Normal

The estimated population for an area can be Red is 2611.2 and Green is 1894.4 respectively.

Given the population for a 1 cm2 area, the population of a 20 cm by 40 cm area is;

Green = 1894.4 Red = 2611.2

How can you determine the population using the population density?

The following are some probable details for a population density of 1 cm2:

The number of people per 6.25 cm2 is;

Red = 20.4

Green ≈ 14.8

Therefore, the density per 1 cm2 is;

Red = 20.4/6.25 = 3.264

Green ≈ 14.8 = 2.368

Consequently, the inhabitants of a 20 by 40 cm region are;

Red = 3.264 × 20 × 40 = 2611.2

Green ≈ 14.8 = 2.368 = 1894.4

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The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Answer:

Step-by-step explanation: