What is the distance between (-5, -5) and (−9,−2)

Answer:

3x=152

Step-by-step explanation:

You know that there are 152 animals intotal so that goes at the end. if we say that the dogs are x because we dont know how many there are, then there are 3 times more cats then there are x.

The increase in surface area of the bag is by a factor of 20.

Scaling is the increase or decrease in  the size of an object or figure by a factor k, so as to create an image.

Given that the bag size is increased so as to carry more food, hence:

Scale factor = 40 pounds / 2 pounds = 20

The increase in surface area of the bag is by a factor of 20.

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A hypothesis is an educated guess or tentative explanation for a phenomenon that can be tested through scientific investigation. It is a prediction or statement that proposes a relationship between two or more variables and can be tested through empirical evidence.

A hypothesis is an essential component of the scientific method as it provides a framework for designing experiments, collecting data, and analyzing results. The aim of testing a hypothesis is to either accept or reject it based on the available evidence. In this way, hypotheses help advance scientific knowledge and understanding.

A testable statement about the relationship between variables is called a

hypothesis .

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Answer:

The answer would be 50

Step-by-step explanation:

Answer:

Where I can't see the pattern made from sticks?

To show that (G,*) is an infinite Abelian group, we need to verify the following properties:
1. Closure: For any a,b∈G, a*b = a+b-ab is also a rational number except 1. Therefore, (G,*) is closed under the operation *.
2. Associativity: For any a,b,c∈G, (a*b)*c = (a+b-ab)*c = (a+b-ab)+c-(a+b-ab)c = a+b+c-ab-ac-bc+abc and a*(b*c) = a*(b+c-bc) = a+(b+c-bc)-a(b+c-bc) = a+b+c-ab-ac-bc+abc. Thus, (G,*) is associative.

3. Identity element: There exists an identity element e∈G such that a*e = e*a = a for all a∈G. Let e = 0, then for any a∈G, a*0 = a+0-a*0 = a, and 0*a = 0+a-0*a = a. Thus, 0 is the identity element of (G,*).

4. Inverse element: For any a∈G, there exists an inverse element a'∈G such that a*a' = a'*a = e. Let a∈G, then a*a' = a'+a-aa' = e, which implies that a' = (e-a)/(1-a). Since 1-a is not equal to 0, a' is a well-defined rational number except 1. Thus, for any a∈G, there exists a unique a'∈G such that a*a' = a'*a = e, and (G,*) is a group.

5. Commutativity: For any a,b∈G, a*b = a+b-ab = b+a-ba = b*a. Thus, (G,*) is Abelian.

Finally, we need to show that (G,*) is infinite. Since G is the set of all rational numbers except 1, we know that G is infinite. Moreover, for any a∈G, we can find infinitely many rational numbers b∈G such that a*b≠a. For example, if a≠0, we can let b = 1/(1-a), then a*b = a+1-a = 1, which is not equal to a. If a = 0, we can let b = 2, then a*b = a+2-a*2 = 2, which is not equal to a. Thus, (G,*) is an infinite Abelian group.

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The factored expression of the trinomial 5x³ + 60x² + 175x is 5x(x + 7)(x + 5)

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

5x³ + 60x² + 175x

Factor out 5x from the expression

So, we have

5x(x² + 12x + 35)

Expand the expression in bracket

5x(x² + 7x + 5x + 35)

So, we have

5x(x + 7)(x + 5)

Hence, the factored expression is 5x(x + 7)(x + 5)

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Answer:

Step-by-step explanation:

vertical line is parallel to y-axis so its equation is always  x = x₀

at any given point we have coordinates: (x₀, y₀)

given point (-4, 7) means  x₀ = -4

so the equation of a vertical line passing through the point (-4, 7) is x=-4

Correct answer is B. Lines 35-37 ("Done . . . automobile")

"Done right, public transport can be faster, more comfortable, and

cheaper than the private automobile."

Public transport conveys people with greater efficiency often requiring less space and less fuel. A bus carrying 50 passengers takes up the same road space as three cars with a combined total of 10 people.

By contrast, private transport particularly motor cars are a solitary affair. And usually more dangerous. Car travel is riskier than the same trip by train. Nevertheless, I do cycle for health reasons and to save money on transport.

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The statement "confidence intervals are useful when trying to estimate unknown statistics" id True.

Confidence intervals are valuable tools for estimating unknown statistics. When dealing with limited data, it is often impossible to determine the true value of a population parameter with absolute certainty. Confidence intervals provide a range of plausible values within which the true parameter is likely to fall.

A confidence interval consists of two components: a point estimate and a margin of error. The point estimate is the best guess of the parameter's value based on the available data, while the margin of error reflects the uncertainty associated with the estimate. By specifying a confidence level, typically expressed as a percentage (e.g., 95% confidence interval), we can quantify the level of confidence we have in capturing the true parameter within the interval.

Confidence intervals allow researchers and decision-makers to make informed conclusions about population parameters while acknowledging the inherent uncertainty. They provide a range of plausible values, taking into account sampling variability and the variability of the data. Confidence intervals also facilitate hypothesis testing, as they help determine whether a hypothesized value falls within the interval.

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<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Yes, it is!!!

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The time taken for John to pass Chad is 147.0 seconds.

Given: Chad's speed, v1 = 4.12 m/s

John's speed, v2 = 4.67 m/s

Distance between them, s = 98 m

Let's assume that John passes Chad after t seconds.

Chad's distance = v1t

John's distance = s + v2t

Since both are moving in the same direction, John passes Chad when:

John's distance = Chad's distance + Distance between them

Therefore, s + v2t = v1t + 98 ms = 98 m/(v2 - v1)

Putting the values of v1 and v2, s = 98 m/(4.67 m/s - 4.12 m/s) = 686.6 m

Therefore, John will take: t = s/v2 = 686.6 m/4.67 m/s≈ 147.0 s (rounded to one decimal place)

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Answer:

c

Step-by-step explanation:

There is a 3.1% chance of obtaining a sample with a mean of 85 or higher assuming that the true mean sales at the new location are still equal to or less than 75 bowls a day.

What is the P value in statistics?

P value is a part of hypothesis testing. The P value is a measurement used against some data in testing.

Given in question,

    Food Truck in  Old location:

                             Sold =  75 bowls of noodle soup

   New location  Sold =  85 bowls of noodle soup

   p-value = 0.031

there is a 3.1% chance of obtaining a mean with a sample.

similarly, that is we can tell that the true mean sales at the new location will be still equal to or less than 75

  i.e. [P(X=75) ≤ P(X=85)]   bowls a day.

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Answer:

a) An event with probability 0 is said to be impossible

b) An event with probability 1 is said to be certain

c) The probability of getting a head when flipping an unbiased coin is shown by the letter A

Step-by-step explanation:

a) If something has a 0 on a probability scale, it will never happen. The word used to describe this outcome is impossible.

b) If something has a 1 on a probability scale, it will always happen. The word used to describe this outcome is certain.

c) The probability of getting a head on an unbiased coin is \(\frac{1}{2}\) or \(0.50\). This means that we are looking for the letter that is in the exact center of 0 and 1. It can be seen that A is in the dead center of these two numbers, so this is our answer.

Answer:

-4 = s

Step-by-step explanation:

6=-3(s+2) multiply -3 into the parenthesis.

6=-3s-6 add 6 to the other side

12=-3s divide by -3 on both sides.

-4=s

Answer:

The answer 26, given that it’s atomic number is 26, and the atomic number is equal to the number of protons, which is equal to the number of electrons. Assuming that it has a neutral charge, the answer would be 26.

Step-by-step explanation:

The inverse function of f(x) = -5x + 2 is f^(-1)(x) = (-1/5)x + 2/5.

The parametric equations of the line passing through (-1, 6, 3) and (10, 11, 8) are:

x = -1 + 11t

y = 6 + 5t

z = 3 + 5t

The symmetric equations of the line are:

(x + 1) / 11 = (y - 6) / 5 = (z - 3) / 5

The inverse of the function f(x) = -5x + 2 can be found by interchanging the roles of x and y and solving for y. Let's proceed with the steps:

Start with the original function: f(x) = -5x + 2.

Interchange x and y: x = -5y + 2.

Solve for y: -5y = x - 2.

Divide by -5: y = (x - 2) / -5.

Simplify: y = (-1/5)x + 2/5.

Therefore, the inverse function of f(x) = -5x + 2 is f^(-1)(x) = (-1/5)x + 2/5.

For the line passing through the points (-1, 6, 3) and (10, 11, 8), we can find sets of parametric equations, symmetric equations, and direction numbers. Let's proceed step by step:

Parametric equations:

Choose a parameter, let's say t.

Express x, y, and z in terms of t using the given points and a direction vector of the line. We can choose the vector between the two points as the direction vector, which is (10 - (-1), 11 - 6, 8 - 3) = (11, 5, 5).

Set up the parametric equations:

x = -1 + 11t

y = 6 + 5t

z = 3 + 5t

Symmetric equations:

Determine the direction numbers of the line using the direction vector (11, 5, 5).

Set up the symmetric equations using the point (-1, 6, 3):

(x + 1) / 11 = (y - 6) / 5 = (z - 3) / 5

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The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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The two main CPUs in laptops are called i3 and i5, and their names vary according to their level of efficiency.

In general, Core i5 CPUs perform better than Core i3 CPUs in terms of CPU performance. The Core i3 processors are all dual-core, in contrast to the dual-core and quad-core i5 CPUs. Along with cores and threads, you must also consider the processor generation.

In terms of CPU performance, Core i5 components often exceed Core i3 components. Dual-core and quad-core Core i5 CPUs are both available. When it comes to multimedia applications like video transcoding and photo editing, a true quad-core CPU will often beat a dual-core CPU.

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x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.

A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To solve the simultaneous equations:

8x + 3y = 45 ...(1)

2x + 3y = 27 ...(2)

By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:

(8x + 3y) - (2x + 3y) = 45 - 27

6x = 18

x = 3

In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):

8x + 3y = 45

8(3) + 3y = 45

24 + 3y = 45

3y = 45 - 24

3y = 21

y = 7

Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.

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The inverse function of f(x) = 4x is:

f⁻¹(x) =  (1/4)*x

So the correct option is the fourth one.

For any function f(x) we define the inverse f⁻¹(x) such that:

f(f⁻¹(x))  =x

f⁻¹(f(x)) = x

In this case we have f(x) = 4*x

Then the inverse is also a linear function:

f⁻¹(x) = a*x + b

Using the rules for inverses we get:

f⁻¹(f(x)) = a*f(x) + b = a*(4x) + b = x

a*(4x) + b = x

Then we have b = 0

a*4x  = x

a*4 = x/x

a*4 = 1

a = 1/4

The inverse is:

f⁻¹(x) =  (1/4)*x

The correct option is the last one.

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Option E is correct. People who are not registered to vote may bias the sample results is not a legitimate concern about the procedure being used.

People who are not registered to vote may bias the sample results is not a legitimate concern about the procedure being used because the polling firm is specifically interested in surveying a representative sample of registered voters in the United States.

The procedure targets registered voters by calling random phone numbers within the United States.

Since the focus is on registered voters, people who are not registered to vote are not part of the target population for this survey.

Therefore, their presence or absence in the sample does not affect the representativeness of the sample for registered voters. Option E is correct.

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Complete question:

A polling firm is interested in surveying a representative sample of registered voters in the United States. The firm has automated its sampling so that random phone numbers within the United States are called. Each time a number is called, the procedure below is followed. - If there is no response or if an answering machine is reached, another number is automatically called. - If a person answers, a survey worker verifies that the person is at least 18 years of age. - If the person is not at least 18 years of age, no response is recorded, and another number is called. - If the person is at least 18 years of age, that person is surveyed. Some people claim the procedure being used does not permit the results to be extended to all registered voters. Which of the following is NOT a legitimate concern about the procedure being used? (A) Registered voters with children under the age of 18 years may be underrepresented in the sample. (B) Registered voters with unlisted telephone numbers may be underrepresented in the sample. (C) Registered voters who have more than one telephone number may be overrepresented in the sample. (D) Registered voters who live in households consisting of more than one voter may be underrepresented. (E) People who are not registered to vote may bias the sample results.

The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼

y = k ÷ x^¼

where,

When x = 3, y = 1

y = k ÷ x^¼

1 = k ÷ 3^¼

1 = k / 3^¼

1 × 3^¼ = k

k = 3^¼

Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼

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The customer bought 0.25 pounds of Sri Lankan coffee and 3.75 pounds of Kona coffee

Data;

To solve this question, let us write a system of equations to show this problem.

\(x + y = 4 ... equation (i)\\4.20x + 6.20y = 24.30... equation (ii)\)

From equation (i)

\(x + y = 4\\x = 4 - y...equation (iii)\)

Put equation (iii) into equation (ii)

\(4.20x + 6.20y = 24.30\\x = 4 - y\\4.20(4 - y)+ 6.20y = 24.30\\16.8 - 4.20y + 6.20y = 24.30\\16.8 +2y = 24.30\\2y = 24.30 - 16.80\\2y = 7.5\\2y/2 = 7.5/2\\y = 3.75\)

Using the value of y which is the Kona's coffee, let's substitute this into equation (i) to solve for x

\(x+y = 4\\x = 4 - 3.75\\x = 0.25\)

From the calculations above,

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The most important aspect to have into account for a graph to be a function is that the function has a domain, and this domain has only an image in the range.

If we pass a vertical line through the function, we can check that the line will pass through this graph in only one point.

In this way, we can say that for each element of the domain, we have only one element in the range. Then, graphically, we have:

Therefore, we can say that this graph is a function.

The result of testing the given claim is; c) H₀: p = .5, Hₐ: p≠ .5; z = 0.8; Fail to reject H₀ at the 1% significance level

We are given;

Sample size; n = 100

Sample proportion; p' = 54/100 = 0.54

In general, population proportion is; p = 0.5

Thus;

The null hypothesis is, H₀: p = 0.5

Alternative hypothesis is; Hₐ: p ≠ 0.5

z-test statistic is defined as:

z = √[(p' - p)/(p(1 - p)/n)]

Plugging in the relevant values gives;

z = √[(0.54 - 0.5)/(0.5(1 - 0.5)/100)]

z = 0.8

From p-value from z-score calculator, we have;

p-value = 0.4237

The P-value is greater than the 1% level of significance. We fail to reject the null hypothesis at the 1% level of significance.

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Answer:

i think 4/3 is the answer