How do you simplify an equation?

Hypothesis testing is a powerful statistical tool that enables us to determine whether the collected data is consistent with what is stated in the null hypothesis.

Hypothesis testing is a statistical method that allows us to determine whether the collected data is consistent with what is stated in the null hypothesis. The null hypothesis is a statement that assumes there is no significant difference between two groups or two variables being compared.

In contrast, the alternative hypothesis is the opposite of the null hypothesis, and it assumes that there is a significant difference between the two groups or variables being compared.

To test a hypothesis, we start by formulating the null hypothesis and the alternative hypothesis. Then, we collect data that is relevant to the hypothesis being tested. Next, we use statistical tests to analyze the data and calculate the probability of obtaining the observed results under the null hypothesis.

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As per the given parentage, the highest percentage saying the greens are too fast is females.

In math the term percentage is defined as the number or ratio that can be expressed as a fraction of 100.

Here we have know that the number male players are

Male Golfers                                    Greens Condition              

Handicap                               Too fast                        Fine

Under 15                                       10                             40

15 or more                                     25                           25

And the female players are,

Male Golfers                                     Greens Condition            

Handicap                               Too fast                         Fine

Under 15                                       1                                9

15 or more                                   39                              51

Then the total value of them is calculated as,

                      Too fast                   Fine             Total

Male                   35                          65               100

Female              40                           60               100

So, the group with the highest percentage of too fast is the females.

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The ratio of the circumferences of the bases of the two cylinders is; 25

Formula for lateral surface area of a cylinder is;

LSA = 2πrh

Thus,for first cylinder;

2πrh = 6π

Thus;

rh = 3 - - - - (eq 1)

Similarly;

2πr2h = 150π

r2h = 75 - - - (eq 2)

Divide eq 2 by eq 1 to get;

r2/r = 75/3

r2/r = 25

r2 = 25r

Thus;

Circumference of base of bigger cylinder = 2π(25r) = 50πr

Circumference of smaller cylinder = 2πr

Thus;

Ratio = 50πr/2πr

Ratio = 25

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Answer:

Step-by-step explanation:

We are given the expression

\(y = 7.2x\)------- expressing the relationship between y and x

one way to know if the expression shows a direct proportionality is to answer the question, does y increase if x increases?

let us plug two values for x and see what happens to y

for x=3

y=7.2(3)

y=21.6

for x=4

y=7.2(4)

y=28.8

for x= 2

y=7.2(2)

y=14.4

From our observations when  x increases the value of y increases and vice versa, hence there exist a direct proportionality

Answer:

The correct answer is option A ($1750)

The volume of the given prism is 660 mm³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

The dimensions of small rectangular prism are length=9 mm, height= 3 mm and breadth=5 mm.

We know that, volume of the rectangular prism is Length×Breadth×Height

Here, volume = 9×5×3

= 135 mm³

The dimensions of small rectangular prism are length=15 mm, height= 7 mm and breadth=5 mm.

Here, volume = 15×5×7

= 525 mm³

Total volume = 525+135

= 660 mm³

Therefore, the volume of the given prism is 660 mm³.

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Answer:

i say 24,890

Step-by-step explanation:

The number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.

Given that, in 2014, a toy store sold 12,823 stuffed animals. In 2015, the toy store sold 24,290 more stuffed animals than it did in 2014.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined be x.

Number of toys sold in 2014 = 12,823

Number of toys sold in 2015 = 12,823 + 24,290

=37,113

The toy store sold the same number of stuffed animals in 2016 as it did in 2015. That is, 37,113.

Now, x = Number of toys sold in 2014 + Number of toys sold in 2015 + Number of toys sold in 2016

=12,823+37,113+37,113

=87,049

Therefore, the number of stuffed animals did the toy store sell in 2014, 2015, and 2016 combined is 87,049.

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Answer:

7.5

Step-by-step explanation:

let x be the ticket and y the popcorn

x+y=15

x+3y=30

solve for x and y using simultaneous equations

x=7.5

y=7.5

Answer:

Simply  which value you put for x  you will get some answer for y that makes x and y coordinates..

Step-by-step explanation:

Like when  x=0

y=3(0)-1=-1

when x=1

y=3(1)-1

y=3-1

y=2

When x=2

y=3(2)-1

y=6-1

y=5

When x=3

y=3(3)-1

y=8

The city at 1st position with the largest population, have a population of 64 million.

Given, the population of the 4th largest city in country a is 8 million.

we have to find the population of the largest city in that country and

we have options : 16 million, 24 million, 32 million and 64 million

As, the given city with 8 million population is at 4th position in the country.

then, the city at 3rd position will be having a population of 2×8 million i.e. 16 million

similarly, the city at 2nd position will be having a population of 2×16 million i.e. 32 million

and the city at 1st position will be having a population of 2×32 million i.e. 64 million.

So, the city at 1st position have a population of 64 million.

Hence, the city at 1st position have a population of 64 million.

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Answer:

\(k(x)=(x-4)(x+6)\)

Step-by-step explanation:

\(k(x)=(x+1)^2-25\\\\\)

to factorize it you have to remember the difference of squares that says

\(a^2-b^2=(a-b)(a+b)\)

so we have

\((x+1)^2\\\\(x+1)^2=a^2\\\\25\longrightarrow 5^2\\\\5^2=b^2\\\\\)

and we apply the formula

\((x+1)^2-25=[(x+1)-5][(x+1)+5]\\\\=(x+1-5)(x+1+5)\\\\=(x-4)(x+6)\)

so there you have it

\(k(x)=(x-4)(x+6)\)

The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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It should be noted that the seat number is C

Jean received seat number 108.

It should be noted that from the information, The seat numbers were either 53, 64, 108, or 216. Candice received the only seat number with a factor of 16. This is 64.

Bill received the seat number that is the greatest multiple of 8 from the group of seats. This is 216.

Rose received the.only seat number that is a prime number. This is 53

Therefore, the remaining number is 108.

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Answer:

You have to know the basic properties of exponents.

Jill's answer is wrong because you add the powers when there are like bases. You don't multiply.

\(2^{-3} *2^{6} = 2^{3}\)

-3+6=3

The base stays the same.

Based on the cost to reserve a party, and the cost per person, the table that represents the possibilities of the total cost of the party is the third table.

The total cost when a single person comes for the party:

= Cost of reserving party + Cost per person

= 100 + 10

= $110

When 5 people come:

= 100 + (5 x 10)

= $150

When 9 people come:

= 100 + (9 x 10)

= $190

The table that shows this is table 3.

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If the speed and the charge of a particle moving across a magnetic field are each doubled, the deflecting force will be:

d. The deflecting force will be quadrupled.

The deflecting force experienced by a charged particle moving across a magnetic field is given by the equation F = qvBsinθ, where F is the deflecting force, q is the charge of the particle, v is its velocity, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

If both the speed (v) and charge (q) of the particle are doubled, the deflecting force (F) can be calculated by substituting the new values into the equation:

F' = (2q)(2v)Bsinθ = 4(qvBsinθ) = 4F

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Step-by-step explanation:

x = cost of 1 kg mushrooms

y = cost of 1 kg turnips

2x + 2.5y = 8.55

3x + 4y = 13.10

so, we have a system of 2 equations with 2 variables.

this can be solved either by

or by

this here looks (for me) better for elimination.

we bring the first equation to something with 6x, and the second one to something with -6x, abd then we add them.

so, we multiply the first equation by 3, and the second equation by -2 :

6x + 7.5y = 25.65

-6x - 8y = -26.20

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

0 -0.5y = -0.55

y = -0.55/-0.5 = £1.10

for x I suggest now to use the second original equation :

3x + 4y = 13.10

3x + 4×1.10 = 13.10

3x + 4.40 = 13.10

3x = 8.70

x = 8.70/3 = £2.90

a) 1 kg of turnips cost £2.90

b) 1 kg if mushrooms cost £1.10

Answer:

0.38 for anyone that saw my last answer it was wrong sorry

The additive inverse of 3/-7 is -3/7. This means that when 3/-7 is added to its additive inverse, the result is 0.

The additive inverse of any number is the number with the same absolute value but with the opposite sign. Therefore, the additive inverse of 3/-7 is -3/7. When two numbers are added together, the signs of the numbers can affect the result. For example, when two negative numbers are added, the result is a negative number. When two positive numbers are added, the result is a positive number. When one number is positive and one number is negative, the result depends on the relative size of the two numbers. For example, if the positive number is larger than the negative number, the result is a positive number. However, if the negative number is larger than the positive number, the result is a negative number. In the case of 3/-7, the negative number is larger than the positive number, so the result of adding 3/-7 to its additive inverse is 0.

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The height of the tree opposite to the river is (20√3)/3 feet.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

The width of the river here is adjacent and the height of the tree is opposite.

We know, tan = opposite/adjacent.

Therefore, tan30° = opposite/20.

1/√3 = opposite/20.

opposite = 20/√3.

opposite = (20√3)/3 feet.

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Answer:

42 tubes of toothpaste.

Answer:

I think you forgot to include the dot plot

Step-by-step explanation:

I will attempt to help but I need the dot plot

Answer:

fish

Step-by-step explanation:

fish

Answer:

Direct proportion

4 boys = 5 girls

20 boys = 25 girls

Answer: 36

cause i know it is

The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.

The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.

Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.

It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.

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Answer:

i think its A cs its the most reasonable one

Step-by-step explanation:

sorry if its wrong

The given triangles GEF and HKJ are congruent by the AAA test of congruency and the value of a = √2.

The two triangles are proved to be congruent and the value of a is to be determined.

Both triangles are right-angled triangles.

We know that similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

In triangle GEF,

since the sum of the angles in a triangle is 180

∠ G + ∠ F + ∠ E =180

90 + 45 + E = 180

∠ E = 45

similarly, ∠ J = 45

In Triangle GEF and Triangle HKJ,

∠ G = ∠ K (both are 90)

∠  F = ∠ H  (both are 45)

∠ E = ∠ J  (both are 45)

So, Triangle GEF and Triangle HKJ are congruent triangles by AAA congruency.

Now in triangle GEF,

cos 45 = 3a/6

1/√2 = a/2

a = √2

Thus, the given triangles are congruent by AAA . and the value of a = √2.

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The complete question is -

Given right triangles EFG and HJK. find the value of a that satisfies the congruency of the triangles. in two or more complete sentences, explain the relevance between the congruency of the triangles and the calculations made in finding the value of a.

Yes, there will be a collision between Speedy Sue's car and the slow-moving van in the tunnel. The collision will occur at a distance of approximately 146.5 meters into the tunnel, and the time of the collision will be around 7.72 seconds.

To determine whether there will be a collision, we need to calculate the time it takes for Speedy Sue to reach the van and compare it with the time it takes for the van to exit the tunnel.

First, we calculate the time it takes for Sue to reach the van. The relative velocity between Sue and the van is (33.0 m/s - 5.40 m/s) = 27.6 m/s. Using the formula time = distance / velocity, the time it takes for Sue to reach the van is approximately 175 m / 27.6 m/s ≈ 6.34 seconds.

Next, we calculate the time it takes for the van to exit the tunnel. The distance the van needs to travel to exit the tunnel is the sum of the distance from its initial position to the end of the tunnel and the distance Sue needs to travel to reach the end of the tunnel. The total distance is 175 m + 175 m = 350 m. The velocity of the van is 5.40 m/s. Using the formula time = distance / velocity, the time it takes for the van to exit the tunnel is approximately 350 m / 5.40 m/s ≈ 64.81 seconds.

Since 6.34 seconds is less than 64.81 seconds, Sue will collide with the van before it exits the tunnel. To determine the distance into the tunnel where the collision occurs, we subtract the distance Sue travels in 6.34 seconds from the initial distance between Sue and the van. The distance Sue travels is (33.0 m/s - 1.90 m/s^2 * 6.34 s^2 / 2) * 6.34 s ≈ 146.5 meters.

Therefore, the collision between Sue's car and the van will occur at a distance of approximately 146.5 meters into the tunnel, and the time of the collision will be around 7.72 seconds.

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Answer:

it would be 3 because a negative divided by negative is a positive

and 6/2=3

Answer:

x = 0 and y = 5

Step-by-step explanation:

y = 2x + 5

x + 2y = 10

Substitute y = 2x + 5 in x + 2y = 10

x + 2(2x + 5) = 10

x + 4x + 10 = 10

5x = 10 - 10

5x = 0

x = 0/5

x = 0

Substitute x = 0 in x + 2y = 10

0 + 2y = 10

2y = 10

y = 10/2

y = 5

Answer:

  6%

Step-by-step explanation:

You want the percentage increase from 158,800 to 168,328.

The percentage change is given by the formula ...

  percentage change = ((new value)/(old value) -1) × 100%

For the given numbers, this is ...

  (168328/158800 -1) × 100%

  = (1.06 -1) × 100% = 6% . . . . increase

The annual distance driven increased by 6%.