the robinson family and the wong family each used their sprinklers last summer. the water output rate for the robinson family's sprinkler was per hour. the water output rate for the wong family's sprinkler was per hour. the families used their sprinklers for a combined total of hours, resulting in a total water output of . how long was each sprinkler used?

The product is less than 67,124 because the number 50,343 is less that the number 67,124.

The product is greater than 12,400 because the number 14,800 is greater than 12,400.

What is product?

A mathematical expression that specifies the objects to be multiplied, known as a factor, produces a product. For instance, the product of x and is c dot, and the product of 6 and 5 is 30.

First to multiply 67124 x 3/4

Here 67124 x 3 = 201372

⇒201372/4 = 50343

Hence, the product is less than 67,124 because the number 50,343 is less that the number 67,124.

Now to multiply 12,400 x 1 1/5

First to convert [tex]1\frac{1}{5}[/tex] into a fraction.

[tex]1\frac{1}{5} = \frac{5+1}{5} = \frac{6}{5}[/tex]

Now,

12,400 x 6/5 = 74,400/5 = 14800

Hence, the product is greater than 12,400 because the number 14,800 is greater than 12,400.

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The number below the fraction bar is called the denominator .

In the question ,

it is asked about what is the below the bar part in a fraction called .

we know that the fraction has two parts ,

one above the bar and other below the bar .

the part above the bar is called numerator and

the part below the bar is called the denominator .

For Example ,

in the fraction 2/5 .

the number above the bar is 2 , So it will be the numerator and

the number below the bar is 5 , So, it will be the denominator .

Therefore , the number below is called the denominator .

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The total pressure of a mixture of two gases is the finalized value of the summation of the total pressure of each of the gases.

The total pressure of a mixture of two gases can be expressed in the form of an equation, as below,

Total Pressure = Pressure of Gas 1 + Pressure of Gas 2

It is noteworthy to be mentioned that the partial pressure of an individual gas is completely in contrast to that of the individual pressure of a gas. It can be expressed in the form of an equation, as below,

Partial Pressure = Total Pressure of Gas x Mole Fraction of Gas

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Answer: 72 meters

Step-by-step explanation: The formula for the area of a square is

Length x Width = Area. The width is 6. Double of six is 12. 12 x 6 =72.

Answer: 2/13

Step-by-step explanation:

There are 4 queen (Q) & 4 king (K) cards in a standard deck of 52 cards . Therefore,required probability of drawing a queen or a king = P(QUK) = P(Q) + P(K) = 4/52 + 4/52 = 2/13 .

Answer:

B

Step-by-step explanation:

ANSWER

The answer is 6(3a+7b+1)

PLS MARK AS BRAINLIEST

Answer: No

Step-by-step explanation:

Parallel lines have the same slope. However, the slopes of the lines with the given equations are -3 and 3, respectively.

Since the slopes are not the same, the lines are not parallel.

The square root of the given expression√49 is equal to ±7.

As given in the question,

Given expression is equal to √49.

Let the square root of 49 be equal to the variable x we get,

x = √49

Write factors of 49 in form of prime numbers we get,

49 = 7 × 7

⇒ x = √ 7 × 7

⇒ x = √7²

Apply law of exponent ( mᵃ )ᵇ = mᵃᵇ we get,

here m = 7 , a = 2 and b = 1/2

⇒ x = ( 7² )^1/2

⇒ x = ( 7 )^( 2 × 1/2 )

⇒ x = ( 7 ) ¹

Any number raise to one is equal to number itself.

⇒ x = 7

Therefore, the square root of the given expression √49 is given by 7.

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Thus , option a)human brains evolved to notice how often things occur, not how likely they are to occur is correct

Probability theory deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is expressed as a number between 0 and 1, with 1 typically signifying certainty and 0 typically signifying impossibility.

Here,

According to the hypothesis of the frequency format, humans may process information more effectively when it is given as frequencies rather than probabilities. Possibly, this is the reason

Because human brains have evolved to perceive frequency rather than likelihood of events.

Thus , option a)human brains evolved to notice how often things occur, not how likely they are to occur is correct.

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Answer:

- 1/2 × 8 = -4

-1/2 × -2 = 1

- 1/2 × 6/7 = - 3/7

B. -4 + 1 - 3/7x

D. -3-3/7x

Answer:

x²(4+x)

Step-by-step explanation:

4x²+x³

Both of these terms have a common factor of x² :

x²(4+x)

This is our final answer

Hope this helped and have a good day

The values of a, b and c if the root x = 3 ± 2i  are 1, -6 and 13

From the question, we have the following parameters that can be used in our computation:

x=3\pm2ix=3±2i

y = ax2 +bx+c

Rewrite the above expressions properly

So, we have the following representation

x = 3 ± 2i

y = ax² + bx + c

This means that

x₁ = 3 + 2i

x₂ = 3 - 2i

The quadratic equation is then calculated as

y = (x - x₁) * (x - x₂)

Substitute the known values in the above equation, so, we have the following representation

y = (x - (3 + 2i)) * (x - (3 - 2i))

This gives

y = ((x - 3) + 2i) * ((x - 3 - 2i)

Apply the difference of two squares

y = (x - 3)² + 4

Expand the bracket

y = x² - 6x + 9 + 4

Evaluate

y = x² - 6x + 13

Hence, the values of a, b and c are 1, -6 and 13

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Answer:

y=-8 or y=8

Step-by-step explanation:

First you swap the sides of the question:

y^2=64

then you simplify the equation and take the square root of both sides of the equation and remember to use both positive and negative roots:

y= + 8 (make sure the "+" has the line under it that looks like this _)

Then you separate the solution and write the solutions, with a + sign and - sign, which gives you your solution:

y=-8

y=8

or

y1=-8 , y2=8

Volume of the sphere V is 2304π units³ when in the picture we have a sphere with radius 12 cm.

Given that,

In the picture we have a sphere with radius 12 cm.

We have to find what is the volume of the sphere of the picture.

We know that,

The volume of the sphere formula is V = 4/3πr³.

Here,

π is 3.14

r is 12

Volume of the sphere V = 4/3πr³

Volume of the sphere V = 4/3(π)(12)³

Volume of the sphere V = 4/3(π)(1728)

Volume of the sphere V = 2304π

Therefore, Volume of the sphere V is 2304π units³ when in the picture we have a sphere with radius 12 cm.

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Answer:

2,000 vs 200 is a big difference, the main reason being that ten 200s is equal to one 2000

Step-by-step explanation:

Answer:q

Step-by-step explanation: If you want an answer you have to give us the data

Answer:

  (c)  20

Step-by-step explanation:

You want to find x, given that the external angle adjacent to a base angle of an isosceles triangle is (5x +12)°, and the other base angle is marked (3x +8)°.

The base angles of an isosceles triangle are congruent, so the other base angle is congruent to the marked base angle.

The external angle and the adjacent base angle are a linear pair, hence supplementary.

  (5x +12)° +(3x +8)° = 180°

  8x +20 = 180 . . . . . . . divide by °, collect terms

  8x = 160 . . . . . . subtract 20

  x = 20 . . . . . divide by 8

The value of x in the expression -2.5(4x - 4) = - 6 is 4/3.

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, -2.5(4x - 4) = - 6.

∴ - 2.5(4x) - 2.5(-4) = - 5.

- 12x + 10 = - 6.

- 12x = - 16.

12x = 16.

x = 16/12.

x = 4/3.

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The new height after the increase is 207cm

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. In other words, we can say that percentage increase is a measure of percent change which gives the extent to which a quantity gains magnitude.

therefore %increase =( final value- initial value)/initial value ×100

let the final height of bush be x

15= (x-180)/180 ×100

2700= 100x-18000

collect like terms

2700+18000=100x

100x= 20700

divide both sides by 100

x= 20700/100

x= 207cm

therefore the new height of the bush is 207cm

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Answer:

x = - 10

Step-by-step explanation:

2(x + 3) = x - 4 ← distribute parenthesis on left side

2x + 6 = x - 4 ( subtract x from both sides )

x + 6 = - 4 ( subtract 6 from both sides )

x = - 10

Answer:

-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

2x-x=(-4)-6

x=-10

Hence the answer is -10

Answer:

E

Step-by-step explanation:

Since rectangle have 90 degree angles, Angle D is a 90 degree angle.

Side CD is 3

AD is 4

We found both of those using the definition of rectangle.

[tex] \tan(x) = \frac{opp}{adj} [/tex]

[tex] \tan(x) = \frac{4}{3} [/tex]

E is correct

The function in the random library that generate a random integer from 0 to the parameter value inclusive is random.randint() function

Functions are another key idea in programming because they let you put a piece of code that performs a specific purpose inside a specified block and then call that code whenever you need it with a single, brief command rather than repeatedly typing the same code.

Code units that are "self contained" and carry out a particular purpose are called functions. Typically, functions "take in," "process," and "return" data and results. Once a function has been developed, it may be utilized countless times.

From the above definition, we get that

The  function in the random library will generate a random integer from 0 to the parameter value inclusive is  random.randint() function

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Answer:

Step-by-step explanation:

o find the vertex of f(x)=x2−8x+7 , there are several things you can do. You could complete the square to get the equation into vertex ...

Answer:The Council of Trent 

Step-by-step: explanationwas the formal Roman Catholic reply to the doctrinal challenges of the Protestant Reformation. It served to define Catholic doctrine and made sweeping decrees on self-reform, helping to revitalize the Roman Catholic Church in the face of Protestant expansion.

:

The graph of the linear equation can be seen at the end, and:

a) f(-4) = 1

b) f(5) = -8

c) f(0) = -3

d) you need to circle the points (-3, 0) and (-10, 7)

Here we have the following linear function:

f(x) = -x - 3

We want to graph that line, but first let's evaluate as it asks in the steps below.

To evaluate the function, we only need to replace the variable x by the correspondent number.

a) f(-4)

Here just replace the variable x by the number -4, you will get:

f(-4) = -(-4) - 3

f(-4) = 4 - 3

f(-4) = 1

b) Here we will do the same thing:

f(5) = -5 - 3

c) f(0) = -0 - 3

f(0) = -3

d) To see which points are in the line, just replace the values of the point in the given equation. If the equation remains true, then the point is on the line.

For example, the first one (-3, 0) will give:

0 = -(-3) - 3

0 = 3 - 3

0 = 0

That equation is true, so the point is on the line.

The point (-10, 7) is also on the line:

7 = -(-10) - 3

7 = 10 - 3

7 = 7

Finally, let's do the graph.

Now you know that (-10, 7) and (-3, 0) are points on the line, you can graph these in the coordinate axis and connect them with a line.

the graph of the linear equation can be seen in the image below.

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Answer:

10208

Step-by-step explanation:

116x88=10208

The second-smallest positive integer that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

Given that,

We have to find the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3.

We know that,

We get equations as

N = 3a + 2

N = 7b + 3

Subtracting these equations we have that

3a - 7b - 1  = 0

3a - 7b =  1

So,

a=12 and b=5

The second integer we get is 38

Therefore, the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

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The example of stratified sampling is a health educator wanted to study the sleeping habits of the undergraduate students in her study.

For her study, the researcher chose a simple random sample of size 150 from each of the classes (150 freshmen, 150 sophomores, 150 juniors, and 150 seniors) for a total of 600 sampled students. a poll asked a random sample of 1,112 adults whether they believe that the use of marijuana for medical reasons should be legalized.

Sampling:

In statistics, quality assurance, and research methodologies, sampling is the selection of a subset of individuals (statistical sample) from a statistical population in order to estimate characteristics of the population as a whole. A statistician tries to collect a representative sample of the population in question. Sampling is less costly than measuring the entire population, provides faster data collection, and can provide insight when the entire population cannot be measured.

Stratified Sampling:

When the population embraces a number of distinct categories, the frame can be organized by these categories into separate "strata." Each stratum is then sampled as an independent sub-population, out of which individual elements can be randomly selected. The ratio of the size of this random selection (or sample) to the size of the population is called a sampling fraction. There are several potential benefits to stratified sampling.

There are, however, some potential drawbacks to using stratified sampling.

First, identifying strata and implementing such an approach can increase the cost and complexity of sample selection, as well as leading to increased complexity of population estimates.

Second, when examining multiple criteria, stratifying variables may be related to some, but not to others, further complicating the design, and potentially reducing the utility of the strata.

Finally, in some cases (such as designs with a large number of strata, or those with a specified minimum sample size per group), stratified sampling can potentially require a larger sample than would other methods (although in most cases, the required sample size would be no larger than would be required for simple random sampling).

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