Find the first two common multiples of 3, 4, 6 ​

The correct answer is option (e): None of these answers is correct.

The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.

The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.

Answer:

234

Step-by-step explanation:

There are about 57 fiction books in the small library

If there are  5 nonfiction books for every 9 fiction books, this means that the ratio of fiction to non-fiction is 5:4

Total books = 5 + 4 = 9

Given that the total number of books is 130;

Fiction books = ratio of fiction/Total books * 130

Fiction books = 4/9 * 130

Fiction books = 520/9

Fiction books = 57.7

This shows that there are about 57 fiction books in the small library

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Answer: Heyaa! ~

Your Answer Is... 13

Step-by-step explanation:

Hopefully this helps you! ~

574 cereal bars will be placed in bags of 10 and bags of 8 by David. The number of bags of 8 is 33 and number of bags of 10 is 31.

Given that,

574 cereal bars will be placed in bags of 10 and bags of 8 by David. Two more bags of eight than bags of ten make up the total.

We have to find how many 10 and 8-bag sets of cereal bars can David fit.

Let us take,

x be number of bags of 8 and y be number of bags of 10.

So, we can write as

8x+10y=574→equation(1)

x=y+2→equation(2)

Taking the x value form equation(2) and putting in equation (1).

We get,

8(y+2)+10y=574

8y+16+10y=574

18y+16=574

18y=574-16

18y=558

y=558/18

y=31

We got y=31 substitute y value in equation(2).

x=31+2

x=33

Therefore, the number of bags of 8 is 33 and number of bags of 10 is 31.

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Answer: 116322

Step-by-step explanation:

23948+92374= 116322

Answer:

The width is 18 feet and the length is 42 feet

Step-by-step explanation:

Let x feet be the width of the patio. The length of the patio is 6 feet longer than twice it’s width, then the length of the patio is 2x+6 feet.

Wayne is hanging a string of lights 78 feet long around the three sides of his patio, which is adjacent to his house. The side with length 2x+6 feet is adjacent to the house, so Wayne is hanging a string along three sides with lengths x ft, x ft and 2x+6 ft.

x+x+2x+6=78

4x=78-6

4x=72

divide both sides by 4

x=18 ft

The width  18 ft

2*18+6=36+6=42 ft

The length  42 ft

Answer:

705.81 and 705.810

Step-by-step explanation:

700 + 5 + 0.8 + 0.01 = 705.81

Answers:

705.810

705.81

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Answer:(0,4)

Step-by-step explanation:

Answer:

x = -5 , x = 1

Step-by-step explanation:

f(x) = ⅔(x + 5)(x - 1)

0 = ⅔(x + 5)(x - 1) → x + 5 = 0 OR x - 1 = 0

x = -5 , 1

Answer:

An equation is basically a way to show a relationship of variables (x,y,a,b, etc) and numbers.

Step-by-step explanation:

Answer:

Shown by explanation.

Step-by-step explanation:

An equation shows a relationship between variables and other factors by defining the variables that are dependent and independent and how these dependent variables are related to the independent variables, this is usually as a result of a prescribed experiment where the relationship of this variables are investigated.

Also remember conditions that favour this experiment must be taken into consideration. And the experiment must always be performed under such conditions.

(b) The probability that the call is not for medical assistance = 0.37

(c) The probability that two successive calls will both be for medical assistance = 0.3969

(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331

(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662

The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:

Probability (Event) = Positive Results/Total Results

                                 = x/n

Given P (call for medical assistance) = 0.63

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P (Not Medical Assistance) = 1 - P (Medical Assistance)

                                            = 1 - 0.63

                                            = 0.37

Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:

P (2 calls for medical assistance)

= 0.63 × 0.63

= 0.3969

The probability that the first is for medical assistance and the second is not for medical assistance will be:

P (1st for medical assistance × 2nd for not medical assistance)

= 0.63 × 0.37

= 0.2331

The probability that exactly one of the next two calls is going to be for medical assistance will be:

P (Exactly 1 call for medical assistance)

= (0.63×0.37) + (0.63×0.37)

= 0.2331 + 0.2331

= 0.4662

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Answer:

The balance after 3 days would be, -$19.00

Step-by-step explanation:

This is can shown by multiplying the ammount owed per day ($-5.5) times 3 and adding this to the current balance ($-2.5)

-5.5 x 3 = 16.5 and -16.5 + -2.5 = 19 so her balance would become -$19.00

Answer:

-$19.00

Step-by-step explanation:

I GO tO K-12
"AND HIS NAME IS JOHN CENA *theme song*"

The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.

aₙ = arⁿ⁻¹

where

Therefore,

10 = ar³

80 = ar⁶

Hence,

a = 10 / r³

80 = (10 / r₃) r⁶

80 = 10r³

r³ = 80 / 10

r = ∛8

r = 2

a = 10 / 2³

a = 10 / 8 = 5 / 4

The sum of 10 terms can be calculated as follows:

Sₙ = a(rⁿ - 1) / r - 1

Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1

Sₙ = 5 / 4 (1024 - 1) / 1

Sₙ = 1.25(1023)

Sₙ = 1278.75

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Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

The limit of the given function as x approaches 1 is 0.

To find the limit of the given function as x approaches 1, we need to evaluate the expression by substituting x = 1. Let's break it down step by step:

1. Begin by substituting x = 1 into the numerator:

\(\[12\sin\left(\frac{\pi}{2}\cdot 1\right)\ln(1) = 12\sin\left(\frac{\pi}{2}\right)\ln(1) = 12(1)\cdot 0 = 0\]\)

2. Now, substitute x = 1 into the denominator:

(1³ + 5)(1 - 1) = 6(0) = 0

3. Finally, divide the numerator by the denominator:

0/0

The result is an indeterminate form of 0/0, which means further analysis is required to determine the limit. To evaluate this limit, we can apply L'Hôpital's rule, which states that if we have an indeterminate form 0/0, we can take the derivative of the numerator and denominator and then evaluate the limit again. Applying L'Hôpital's rule:

4. Take the derivative of the numerator:

\(\[\frac{d}{dx}\left(12\sin\left(\frac{\pi}{2}x\right)\ln(x)\right) = 12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{x} + \frac{\sin\left(\frac{\pi}{2}x\right)\ln(x)}{x}\right)\]\)

5. Take the derivative of the denominator:

\(\[\frac{d}{dx}\left((x^3 + 5)(x - 1)\right) = \frac{d}{dx}\left(x^4 - x^3 + 5x - 5\right) = 4x^3 - 3x^2 + 5\]\)

6. Substitute x = 1 into the derivatives:

Numerator: \(\[12\left(\cos\left(\frac{\pi}{2}\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{1} + \sin\left(\frac{\pi}{2}\right) \cdot \frac{\ln(1)}{1}\right) = 0\]\)

Denominator: 4(1)³ - 3(1)² + 5 = 4 - 3 + 5 = 6

7. Now, reevaluate the limit using the derivatives:

lim as x approaches 1 of \(\[\frac{{12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{{-1}}{{x}} + \sin\left(\frac{\pi}{2}x\right) \cdot \frac{{\ln(x)}}{{x}}\right)}}{{4x^3 - 3x^2 + 5}}\]\)

= 0 / 6

= 0

Therefore, the limit of the given function as x approaches 1 is 0.

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Answer:

A is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

A

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

The first thing we can notice about this figure is that the two small outer triangles are congruent because of the given side congruence markings as well as the fact that the large triangle ABC is isosceles, thus angle A is congruent to angle C.

Using the above information, we can construct the equation:

3x + 2 = 2x

and solve it for x.

x = -2

The equation we constructed simply equates the corresponding sides of the two small outer triangles, as they are congruent by the CPCTC theorem.

Answer:

10 miles is answer because u should divide d=r

Answer:

there are 60 ounce

Step-by-step explanation:

did the question and got it right

lf 6 tablespoons are equivalent to 1 fluid Ounce, Then 5/3 fluid Ounces are in 10t tablespoons.

Two or more expressions with an Equal sign is called as Equation.

lf 6 tablespoons are equivalent to 1 fluid Ounce,

Then we need to find many fluid Ounces are in 10t tablespoons.

Consider x as fluid Ounces are in 10t tablespoons

Let us form a equation to solve this

6/1=10/x

Apply cross multiplication

6/10=1/x

x=10/6

x=5/3

Hence 5/3  fluid Ounces are in 10t tablespoons

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Answer:

from your DVR to record the points you like

Step-by-step explanation:

because I only want the points

khan acdemy vdieo on Compound inequalities:

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/v/compund-inequalities

Answer:

x = 54

Step-by-step explanation:

Vertically opposite angles are equal

Therefore, 2x + 2 = 3x - 52

Subtract 2x from both sides:  2 = x - 52

Add 52 to both sides:  54 = x

Therefore, x = 54

The equation of the parallel line will be y = (2/3)x - 8/3.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The equation of the line is given below.

y - 4 = 2/3 (x - 3)

The equation of the line that is parallel to the given line will be written as,

y = (2/3)x + c

The equation of the line that passes through (1, -2), then we have

- 2= (2/3)(1) + c

- 2 = 2 /3 + c

c = - 8 / 3

Then the equation of the parallel line will be y = (2/3)x - 8/3.

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The sets of side lengths that are scaled copies of the original triangle are (18 cm,24 cm and 30 cm), (9 cm, 12 cm and 15 cm) and (15 cm, 20 cm and 25 cm)

A scale factor is the size by which a shape is enlarged or reduced.

Given: a triangle with side lengths of 6 cm, 8 cm, and 10 cm.

In order to the sets of side lengths that are scaled copies of the original triangle. You have to choose a triangle in which the side length is enlarged or reduced by the same factor.

We have the original side length of 6 cm, 8 cm, and 10 cm

18 cm, 24 cm, and 30 cm = 3 × ( 6 cm, 8 cm, and 10 cm)

That means this is a scale factor of 3 is used

9 cm, 12 cm, and 15 cm = 1.5 × ( 6 cm, 8 cm, and 10 cm)

A scale factor of 1.5 is used

15 cm, 20 cm, and 25 cm = 2.5 × ( 6 cm, 8 cm, and 10 cm)

A scale factor of 2.5 is used

Note: you can know by taking the new values and dividing them by their corresponding old values. If all the sides give the same scale factor then you have a scaled copy e.g scale factor = 9/6 = 12/8 = 15/10 = 1.5

10 cm, 18 cm, and 24 cm does not have uniform scale factor. So it is not a scaled copy

Therefore,  (18 cm,24 cm and 30 cm), (9 cm, 12 cm and 15 cm) and (15 cm, 20 cm and 25 cm) are the sets of side lengths that are scaled copies of the original triangle. Select options A, B and C

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Answer:

987

Step-by-step explanation:

Clue 4: There is no 2, 4, 5.

Clues 1 & 2: There is no 1.

7 must be on the right.

_ _ 7

Clue 5: 9 is in the first or second place

9 _ 7   or   _ 9 7

937 or 987 or 397  or 897

Try all 4 possibilities above through all 5 clues.

Only 987 works.

Answer: 987

Answer:

366.6is your answer right answer right

Answer:

Mr. Lai buys 2 1/4 pounds of red apples and 1 3/8 pounds of green apples. How many more pounds of red apples does he buy?