(a) plot a scatter diagram. does it appear that a simple linear regression will be a suitable model?

Answer:

6x^2 - 32x + 10

Step-by-step explanation:

I used the FOIL method of factoring. Hope this helps!

Answer:

The Answer is 36ft2

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Answer:

45 min

Step-by-step explanation:

Here,

the we take the work as W and Alan's speed as A and Zack's speed as Z.

A = 2Z

W = 30 ( A+Z)

if the time for Alan to done cleaning alone is t then t = W ÷ A

t = ( 30 (A+(A÷2)))÷ A

t = 45 min

I am done .

Answer:

Ok Cool thx i guess.

Step-by-step explanation:

Its rectangle btw.

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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Answer:

5x^2 + x + 7.

Step-by-step explanation:

6x^2 + 7 + x - x^2

= (6x^2 - x^2) + (x + 7) // Rearranging the terms

= 5x^2 + x + 7

So, 6x^2 + 7 + x - x^2 simplifies to 5x^2 + x + 7.

Step-by-step explanation:

after simplifying they look like

I) -5x + 13

II) 11x - 17

III) 9x + 13

IV) 4x + 10

V) 9x + 13

VI) -4x + 10

VII) -5x + 13

VIII) 11x - 17

so, clearly, IV and VI are not the same (equivalent).

Answer:

15

Step-by-step explanation:

- 360 degrees in a complete circle you divide it by 24

360/24=15

Step-by-step explanation:

Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.

An inequality equivalent to 6x+12≥48 is 3x+6≥24.

What is inequality?

Inequality means not equal. Generally, if two values are not equal, we use the “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

This is because dividing both sides of the original inequality by 6 results in 3x + 6 ≥ 24.

In option B, C and D, the inequality is not equivalent to the original inequality, as they have different values on one side of the inequality sign.

In option B: 3x+12≥24, the left side of the inequality is greater than the left side of the original inequality.

In option C: 3x+12≥18, the right side of the inequality is lesser than the right side of the original inequality.

In option D: 3x+21≥24, the left side of the inequality is greater than the left side of the original inequality and the right side of the inequality is greater than the right side of the original inequality.

Hence, An inequality equivalent to 6x+12≥48 is 3x+6≥24.

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Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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There is none of these numbers are divisible by 9 and the required number is 474 divisible by 3 which the correct answer would be an option (D)

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

The sum of the digits should be divisible by 9

⇒ 474 : (4+7+4=15, and again, 1+5=6)

This number is not divisible by 9

⇒ 127  : (1+2+7=10, and again, 1+0=1)

This number is also not divisible by 9

⇒ 907  : (9+0+7=16, and again, 1+6=7)

This number is also not divisible by 9

The sum of the digits should be divisible by 3

⇒ 474 : (4+7+4=15, and 15÷3 = 5)

This number is divisible by 3

⇒ 127  : (1+2+7=10, and 10÷3 = 3.333)

This number is not divisible by 3

⇒ 907  : (9+0+7=16, and  16÷3 = 5.333)

This number is not divisible by 3

There is none of these numbers are divisible by 9 and the required number is 474 divisible by 3 which the correct answer would be an option (D)

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The question seems to be incomplete the correct question would be

(a) Which numbers are divisible by 9?

(A). 474

(B). 127

(C). 907

(D). None of these

(b) Which numbers are divisible by 3?

(A). 474

(B). 127

(C). 907

(D). None of these

Answer:

35

Step-by-step explanation:

Answer:

A requested task is subject to be reported when it has been completed according to the instructions provided.

To demonstrate this with chain of thought reasoning:

1. The task requested will have details outlining what needs to be done.

2. To fulfill the request of the task, the instructions outlined must be followed.

3. Once all instructions are met, the task is complete.

4. Completion of the task means it is subject to be reported.

Step-by-step explanation:

Steps to solve:

4(w + 3) - 2

~Disribute

4w + 12 - 2

~Combine like terms

4w + 10

Best of Luck!

Answer:

2.399

Step-by-step explanation:

Given the trigonometry expression:

tan(sin^-1((-12/13))

We are to find the exact value

tan(sin^-1((-12/13)) = tan(sin^-1((-0.9231))

tan(sin^-1((-12/13)) = tan(-67.38)

Also note that tan(-theta) = -tan theta

tan(-theta) = -tan67.38

tan(-67.38) = -2.399

The exact value is 2.399

To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:

Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.

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Answer:

TRUE

Step-by-step explanation:

using the given data for the one way commuting of workers we can conclude that the spread is = 0.458493468

hence the correct option is TRUE

One way commuting is traveling of passengers using a single lane in both directions

Answer:

3=coeffcient

b=variable

A=constant

Answer:

\(20x+240y/y\)

Step-by-step explanation:

1. Subtract the numbers

2. Evaluate the exponents

3. Subtract the numbers, again

4. Have a great day and thx for your inquiry :)

Answer: x<-7

Step-by-step explanation:

4-(x+2)<-3(x+4)

4-x-2<-3x-12

4-2-x<-3x-12

2-x<-3x-12

14-x<-3x

14<-2x

-2x>14

-x>7

x<-7

Step-by-step explanation:

The ratios are;

\dfrac{BC}{AB} = \dfrac{3}{5}

AB

BC

=

5

3

\dfrac{AC}{AB} = \dfrac{4}{5}

AB

AC

=

5

4

\dfrac{BC}{AC} = \dfrac{3}{4}

AC

BC

=

4

3

\dfrac{DE}{AD} = \dfrac{3}{5}

AD

DE

=

5

3

\dfrac{AE}{AD} = \dfrac{4}{5}

AD

AE

=

5

4

\dfrac{DE}{AE} =\dfrac{3}{4}

AE

DE

=

4

3

koGiven that the lengths of the sides are;

\overline {AB}

AB

= 20

\overline {BC}

BC

= 12

\overline {AC}

AC

= 16

\overline {AD}

AD

= 10

\overline {DE}

DE

= 6

\overline {AE}

AE

= 8

The ratios are;

\dfrac{Length \ opposite \ \angle A}{Hypothenus} = \dfrac{BC}{AB} = \dfrac{12}{20} = \dfrac{3}{5}

Hypothenus

Length opposite ∠A

=

AB

BC

=

20

12

=

5

3

\dfrac{Length \ adjacent\ \angle A}{Hypothenus} = \dfrac{AC}{AB} = \dfrac{16}{20} = \dfrac{4}{5}

Hypothenus

Length adjacent ∠A

=

AB

AC

=

20

16

=

5

4

\dfrac{Length \ opposite \ \angle A}{Length \ adjacent \ \angle A} = \dfrac{BC}{AC} = \dfrac{12}{16} = \dfrac{3}{4}

Length adjacent ∠A

Length opposite ∠A

=

AC

BC

=

16

12

=

4

3

\dfrac{Length \ opposite \ \angle A}{Hypothenus} = \dfrac{DE}{AD} = \dfrac{6}{10} = \dfrac{3}{5}

Hypothenus

Length opposite ∠A

=

AD

DE

=

10

6

=

5

3

\dfrac{Length \ adjacent\ \angle A}{Hypothenus} = \dfrac{AE}{AD} = \dfrac{8}{10} = \dfrac{4}{5}

Hypothenus

Length adjacent ∠A

=

AD

AE

=

10

8

=

5

4

\dfrac{Length \ opposite \ \angle A}{Length \ adjacent \ \angle A} = \dfrac{DE}{AE} = \dfrac{6}{8} = \dfrac{3}{4}

Length adjacent ∠A

Length opposite ∠A

=

AE

DE

=

8

6

=

4

3

Answer:

\( {3}^{16} . {7}^{ - 6} \)

Step-by-step explanation:

\(( {3}^{ - 8} . {7}^{3} )^{ - 2} \\ \\ = {3}^{ - 8( - 2)} . {7}^{3( - 2)} \\ \\ \huge = {3}^{16} . {7}^{ - 6} \)

Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

Answer:

a

Step-by-step explanation: