Question 14
Which equation represents a linear function? Select all that apply.
A) 2y (3-x) = 6
B) 2y = (3-x)+6
C) -2y² = x² +6
D) + (-)x= 1
E) +9 = d (4)

Answer:

There would be 876 legs.

Step-by-step explanation:

To do it you could first find how many legs there are on one farm. SO you would take the 6 cats in one barrel. Then times it by the 6 kittens each of them have. That's the number of cats. Then times than number by 4 to get the total number of legs in one barrel. Then you add in the two legs of the farmer. Then times that total number by 6 to get all the legs on all six farms.

a.  the student must pay $2197.50 in interest. b.  the future value of the loan is $4197.50.

a. To calculate the interest, we can use the formula:

Interest = Principal x Rate x Time

Given:

Principal (P) = $2000.00

Rate (R) = 12.25% = 0.1225 (converted to decimal)

Time (T) = 9 months

Using the formula, we have:

Interest = $2000.00 x 0.1225 x 9

Interest = $2197.50

Therefore, the student must pay $2197.50 in interest.

b. To find the future value of the loan, we can use the formula:

Future Value = Principal + Interest

Given:

Principal (P) = $2000.00

Interest = $2197.50

Using the formula, we have:

Future Value = $2000.00 + $2197.50

Future Value = $4197.50

Therefore, the future value of the loan is $4197.50.

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Answer:

D. +3.82

Step-by-step explanation:

The computation of the test static for this test is shown below:

Data provided in the question

\(\bar x\)= $8,745

\(\mu\) = $8,500

\(\sigma\) = $1,200 and n = 350

Now based on the above information, the test static for this test is

\(z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n} } }\)

\(z = \frac{\$8,745 - \$8,500}{\frac{\$1,200}{\sqrt{350} } } \\\)

= 3.82

= +3.82

Hence, the test static for this test is +3.82

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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Answer:

3m = 3m

Step-by-step explanation:

Divide both sides by 3, and you get m = m

disappointing but this was all i could think of sorry

Given:

The volume of the cubic prism is 45 cubic inches.

Let the side length = x

So,

Taking the cubic root of 45

So, the answer will be the side length = 3.557 inches

Answer:

\( \large{ \tt{❃ \: EXPLANATION}} : \)

\( \large{ \tt{❁ \: LET'S \: START}} : \)

\( \boxed{ \large{ \tt{❈ \: y = mx + c}}}\)

- Plug the values :

\( \large{ \tt{↬y = 12x + ( - 5)}}\)

\( \large{ \tt{↬ \: y = 12x - 5}}\)

\( ↬\large{\tt{12x - 5 = y}}\)

\(↬ \large{ \boxed{ \bold{ \tt{12x - y - 5 = 0}}}}\)

\( \tt{✺ \: STUDY \: MORE \: PROCASTINATE \: LESS !\:♪ }\)

۵ Hope I helped! ツ

☃Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

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Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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Answer:

you have to add all the angles including 'x' which is equals to 180°.

The process is

99+49+x=180

148+x=180

x=180-148

x=32.

Answer: he need 6 day to get the 32 show

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

The sum elements for the expected hidden state of a Kalman filter at time t1 given data at time t1 and a hidden state distribution at time t are the prior state distribution and the posterior state distribution.

The weights are the posterior probability, which is determined by the Kalman filter's prediction and measurement likelihood.

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Answer:

990 cm3

Step-by-step explanation:

lengh x width/ breadth x height

9x10x11 =

990cm3

Answer:

9.013 square units

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The Y-intercept is 2 so basically every other answer is eliminated

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

sum of exterior angles of decagon = 360°

Answer:

10

Step-by-step explanation:

Should be right

Answer:

Step-by-step explanation:

Let side be x

Using Pythagoras theorem

diagonal =hypotenuse

x²+x²=20²

2x²=400

x²=200

x=10√2

Side is 10√2

Perimeter=4×10√2=>40√2cm

The mean absolute deviation (MAD) for the given data set is approximately 46.5.    

The mean absolute deviation (MAD) for a data set is calculated by finding the mean (average) of the data set, then calculating the absolute deviation for each data point by minus the mean from each data point and taking the absolute value. Finally, the mean of the absolute deviations is computed to determine the MAD.

To calculate the mean absolute deviation (MAD) for the given data set, we follow these steps:

1.Find the mean value of the data set.

2.Calculate the absolute deviation for each data point by taking difference the mean from each data point and taking the absolute value.

3.Find the mean of the absolute deviations.

Now calculate the mean absolute deviation for the data set:

Step 1: Find the mean:

\(Mean =\frac{122 + 132 + 155 + 198 + 213 + 225 + 261 + 280}{8}\\ = \frac{1586}{ 8}\\ = 198.25\)

Step 2: Calculate the absolute deviation for each data point and find the sum:

|122 - 198.25| = 76.25

|132 - 198.25| = 66.25

|155 - 198.25| = 43.25

|198 - 198.25| = 0.25

|213 - 198.25| = 14.75

|225 - 198.25| = 26.75

|261 - 198.25| = 62.75

|280 - 198.25| = 81.75

Sum of absolute deviations = 76.25 + 66.25 + 43.25 + 0.25 + 14.75 + 26.75 + 62.75 + 81.75

= 372

Step 3: Find the mean absolute deviations:

\($\rm MAD =\frac{\text{Sum of absolute deviations}} { \text{Number of data points}}\\ &\\$\text{Number of data points }=$\frac{372}{8}\\ $= 46.5$\)

Rounded to the nearest tenth, the mean absolute deviation (MAD) for the given data set is approximately 46.5.

Therefore,the mean absolute deviation (MAD) for the given data set is approximately 46.5.  

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The equation of the ellipse is given by  ( x - 2 )² / 25 + ( y - 2 )² / 16 = 1

Given data ,

Let the center of the ellipse be ( h , k ) = ( 2 , 2 )

Now , the length of the major axis is 2a = 10 units

The length of the minor axis 2b = 8 units

So , a = 5 and b = 4

Now , the standard for of equation of ellipse is

( x²/a² ) + ( y²/b² ) = 1

On simplifying , we get

( x - 2 )² / ( 5 )² + ( y - 2 )² / ( 4 )² = 1

( x - 2 )² / 25 + ( y - 2 )² / 16 = 1

Hence , the equation of ellipse is ( x - 2 )² / 25 + ( y - 2 )² / 16 = 1

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Answer:

16^5 + 16^4 = 16^4(16 + 1) = 16^4(17)

Step-by-step explanation:

Here, we are to use factoring to show that the given expression is divisible by 17.

That would go as follows;

16^5 + 16^4 = 16^4(16 + 1)

= 17(16^4)

This shows clearly that the expression is divisible by 17

Answer:

question 1: T
question 2: F
question 3: C

Step-by-step explanation:

Answer:

1. True

2. False

3. D. {2,4,9,16}

Step-by-step explanation:

⭐What is a function?

Therefore, #1 is a function because for every x-value, there is 1 y-value.

Therefore, #2 is NOT a function because 6 has 2 y-values, and 12 has 2 y-values.

⭐What is the range of a function?

Therefore, {2,4,9,16} is the range of #3 because it lists all of the y-values in ascending order.

Answer:

Step-by-step explanation:

Given equation is,

\(\frac{1}{2}(8x-6)=x+9\)

By distribution property,

4x - 3 = x + 9

By subtraction property of Equality,

4x - x - 3 = 9

3x - 3 = 9

By Addition property of equality,

3x = 3 + 9

3x = 12

By division property of equality,

\(\frac{3x}{3}=\frac{12}{3}\)

x = 4

The 90th percentile for the random sample of size 16 taken from the normal population with a mean of 100 and a variance of 4 is approximately 100.64

To find the 90th percentile of a random sample of size 16 taken from a normal population with a mean of 100 and a variance of 4, follow these steps:

1. Identify the population mean (μ) and variance (\(σ^{2}\)). In this case, μ = 100 and \(σ^{2}=4\).
2. Calculate the population standard deviation (σ) by taking the square root of the variance: σ = √4 = 2.
3. Since the sample size (n) is 16, the standard error (SE) is calculated by dividing the population standard deviation by the square root of the sample size: \(SE= \frac{σ}{\sqrt{n} } = \frac{2}{\sqrt{16} } = \frac{2}{4} = 0.5\).
4. Next, determine the z-score corresponding to the 90th percentile. You can use a z-table or an online calculator. The z-score for the 90th percentile is approximately 1.28.
5. Multiply the z-score by the standard error: 1.28 (0.5) = 0.64.
6. Finally, add this product to the population mean: 100 + 0.64 = 100.64.

The 90th percentile for the random sample of size 16 taken from the normal population with a mean of 100 and a variance of 4 is approximately 100.64.

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The probability of the chi-square variable χ² with 20 degrees of freedom falling between 12 and 31 is approximately 0.349. To find the value of k such that P(χ² > k) = 0.05, we can use the chi-square table and determine that k is approximately 31.41. The median of the chi-square distribution with 20 degrees of freedom is approximately 18.307.

In the first scenario, we need to calculate the probability P(12 ≤ χ² ≤ 31) for a chi-square variable χ² with 20 degrees of freedom. This can be done by finding the cumulative probability for the upper and lower values using the chi-square distribution table or statistical software.

By looking up the values in the table, we find that the cumulative probability for 12 is approximately 0.190 and for 31 is approximately 0.541. To calculate the probability between these two values, we subtract the lower cumulative probability from the higher one: 0.541 - 0.190 = 0.351. Therefore, P(12 ≤ χ² ≤ 31) is approximately 0.349.

In the second scenario, we are given that P(χ² > k) = 0.05, and we need to find the value of k. To do this, we can use the chi-square distribution table and look for the value that corresponds to a cumulative probability of 0.95 (1 - 0.05). By finding the closest value in the table, we determine that k is approximately 31.41.

Lastly, to find the median of the chi-square distribution with 20 degrees of freedom, we can again use the chi-square distribution table or statistical software. The median is the value that divides the distribution into two equal parts, so we need to find the value that corresponds to a cumulative probability of 0.50. By looking it up in the table, we find that the median is approximately 18.307.

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The correct option is A: None; the mode stayed the same.

Mode of a data set is the value that occur most frequently in a data set.

There may be no mode, one mode or more than one mode for a data depending on the number of times values are repeating.

Given that before Samuel taking a test,

Mean = 84.6

Median = 82

Mode = 88

After Samuel took the test,

Mean = 84

Also given that, his score was different from every other students’ score.

This means that from the data of scores, Samuel's score is not repeating.

Mode is the most repeating element.

So Samuel's score does not effect the mode and thus stayed the same.

Hence the mode stayed the same.

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Answer:

Chantal and Trisha will have both traveled 105 miles in 20 minutes.

Step-by-step explanation:

\(y\) is distance in miles, \(x\) is time in hours.

The two equations are:

\(y = \frac{20}{x} + 45\)

\(y = \frac{35}{x}\)

Set them equal to each other and solve for x:

\(\frac{35}{x} = \frac{20}{x} + 45\)

\(\frac{35}{x} - \frac{20}{x} = 45\)

\(\frac{35-20}{x} = 45\)

\(\frac{15}{x} = 45\)

\(x = \frac{15}{45} = \frac{1}{3} hours = 20 minutes\)

Plug that back into the equations to confirm this \(x\) gives the same \(y\):

\(y = \frac{20}{1/3} + 45 = 105 miles\)

\(y = \frac{35}{1/3} = 105 miles\)

Answer:

false

Step-by-step explanation:

these angles are horizonal

Answer:

in the quest the double angle sign means they are congruent as well as they have a common side if you label them.

Answer: A=2x²+18x+30

Step-by-step explanation:

To find the area, we multiply the length and the width. We can do that with the picture provided.

A=(5+x)(6+2x)                    [use FOIL method to distribute/multiply]

A=30+10x+6x+2x²             [combine like terms]

A=30+18x+2x²