What is the greatest common of 45?

The point B is located between A and C such that the sum of the distances AB and BC equals the distance AC.

If A, B, and C are collinear and the equation AB + BC = AC is true, then point B is positioned between points A and C. This equation can be thought of as a triangle where the three sides of the triangle are the distances of AB, BC, and AC. To find the position of point B, we need to use the given equation AB + BC = AC. This means that the sum of the distances between points A and B and between points B and C must equal the distance between points A and C. We can solve for B by rearranging the equation to AB = AC - BC. This tells us that the distance between points A and B is equal to the distance between points A and C minus the distance between points B and C. Therefore, the position of point B is located between A and C in line with the given equation.

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A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as Simpson's paradox.

Simpson’s Paradox is an example of statistics that can be wrong. The paradox is defined as averages that can be silly and misleading. Sometimes they can be just plain baffling.

It is also called the Yule-Simpson effect which is an effect that occurs when the marginal association between two categorical variables is qualitatively different from the partial association between the same two variables after controlling for one or more other variables.

This result is often encountered in social science and medical science statistics and is particularly problematic when frequency data are unduly given causal interpretations.

It is a statistical phenomenon where an association between two variables in a population emerges or reverses when the population is divided into subpopulations.

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It took 3 hours or 180 minutes (12:30 to 3:30) to get to Marta's house, stay there, and come back. Since she stayed at the house for 90 minutes, we know the trip back and forth took 90 minutes (1.5h). They travel the distance twice at an average speed of 7.25 mi/h, as one trip of the same distance is 12 and the way back is 2.5. (12 + 2.5)/2 = 7.25. It took 1.5h to travel the distance twice at an average of 7.25 mi/h, so doing some math... (7.25 x 1.5)/2 = 5.4375 miles.  Using fractions, you get 87/16 mi in improper fraction form and 5 7/16 mi in mixed numbers form.

the total amount of oil that leaks out over the entire time interval [0, 120].

integral ∫₀¹₂₀ r(t) dt represents the total amount of oil that leaks from the tank in 120 minutes.

To see why, consider the definition of an integral. If we divide the interval [0, 120] into small subintervals of width Δt, then the amount of oil that leaks out during each subinterval is approximately r(t)Δt. Summing up all these small amounts over the entire interval gives:

Σᵢ r(tᵢ) Δt

where tᵢ is the midpoint of the i-th subinterval. As we take the limit as the subinterval width goes to zero, this sum becomes the integral:

∫₀¹₂₀ r(t) dt

which represents the total amount of oil that leaks out over the entire time interval [0, 120].

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the control limits for the x-bar chart are 9.7439 minutes (LCL) and 11.0561 minutes (UCL), and the control limits for the R chart are 0 minutes (LCL) and 2.0529 minutes (UCL).

To compute the control limits for the x-bar (mean) and R (range) charts, we'll use the following formulas:

For the x-bar chart:

Upper Control Limit (UCL) for x-bar = x-double-bar + A2 * R-bar

Lower Control Limit (LCL) for x-bar = x-double-bar - A2 * R-bar

For the R chart:

Upper Control Limit (UCL) for R = D4 * R-bar

Lower Control Limit (LCL) for R = D3 * R-bar

Where:

x-double-bar = Overall mean of the sample means

R-bar = Overall mean of the sample ranges

A2 = Constant from the control chart constants table

D4 = Constant from the control chart constants table

D3 = Constant from the control chart constants table

For sample sizes of 4, the control chart constants are as follows:

A2 = 0.729

D4 = 2.281

D3 = 0

Given the information you provided:

Overall mean (x-double-bar) = 10.4 minutes

Average range (R-bar) = 0.9 minutes

Let's calculate the control limits:

For the x-bar chart:

UCL for x-bar = 10.4 + 0.729 * 0.9

             = 10.4 + 0.6561

             = 11.0561 minutes

LCL for x-bar = 10.4 - 0.729 * 0.9

             = 10.4 - 0.6561

             = 9.7439 minutes

For the R chart:

UCL for R = 2.281 * 0.9

         = 2.0529 minutes

LCL for R = 0

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Answer:

The answer to your problem is, D. $13,564.80

Step-by-step explanation:

We know it took her 4 years to pay this amount. Let's solve for the total amount she paid including the interest.

12,560 x 0.02 = 251.2 per year

251.2 x 4 = 1004.8 dollars for 4 years.

1004.8 + 12,560 = 13,564.8 dollars.

Thus the answer to your problem is, D. $13,564.80

the two points are

A(4,56) and B(5,70)

so, the linear equation is

thus, the equation is

y = 14x + 0

so we can put 14 in first place and 0 in second

The probability of obtaining the number of successes indicated in problems 51–58 is 0.42.

Probability is absolutely how in all likelihood something is to happen. every time we're unsure about the final results of an occasion, we can talk about the chances of sure results—how in all likelihood they may be. The analysis of occasions ruled by using probability is called facts.

The opportunity of an event may be calculated with the aid of the opportunity formula by means of truly dividing the favorable wide variety of results by way of the overall variety of feasible effects.

Probability is the department of mathematics regarding numerical descriptions of ways possibly an occasion is to occur, or how likely it's miles that a proposition is actual. The chance of an event is more than a few between zero and 1, in which, roughly talking, 0 shows the impossibility of the event and 1 suggests fact.

Cells x doute the no of surrell and

"p' denotes the probability of turrets

D= 5

H=pkin = 50-xo-5 = 250

σ = SD(X) = √√rbg

= √√5=x05x=5 = 14.№33

The probability of obtaining $45-26

= P(-5-250 < x-M 22605-250)

14.233

= P(-03864 < 2 2 0-7332)

8.4200

0.42

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The absolute value of y, and the square root of (xy to the power of z) is \(xy^{z}\)

Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.

In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.

Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.

The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).

The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.

Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.

The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as

=> √(xyᵃ).

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If the actual temperature of steam is 99 °C and is assumed to be 100 °C in calculations, the error introduced can be significant depending on the specific calculations being performed.

Similarly, if the actual temperature of steam is 101 °C and is assumed to be 100 °C, the error introduced can also be significant.

The amount of error introduced when assuming the temperature of steam to be 100 °C instead of the actual temperature of 99 °C or 101 °C depends on the specific calculations being performed.

Similarly, in industrial processes, assuming an incorrect temperature of steam could result in inefficiencies or even safety hazards. Therefore, the difference between the actual temperature of steam and the assumed temperature of 100 °C should not be considered negligible in many cases.

In conclusion, the error introduced by assuming a temperature of 100 °C instead of the actual temperature of steam depends on the specific calculations being performed and can be significant in some cases. It is always best to use accurate and precise measurements in scientific and engineering calculations to minimize the potential for error.

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Complete Question:

1. If you use 100 °C for the temperature of steam in your calculations, how much error do you introduce if it is actually 99 °C or 101 °C? Is this difference negligible?

Answer:

The answer is B. 50

Step-by-step explanation:

180-105=75

75+55=130

180-130=50

Chance is a term used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.

Chance is a term that is used to describe the probability that a certain outcome will occur given a set of fundamental instructions repeated again with each repetition being independent.

Ultimately, this means the number of times a result of an event occurs when repeated over a number of times is chance.

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A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1, the player wins nothing. If there is a charge of $1 to play the game, what is the game's expected value?

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

Let random variable "x" be a count of player gain.

X-values are: 4, -1

P(x=4) = 1/6; P(x= -1) = 5/6

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

E(x) = (1/6)(4) + (5/6)(-1)

E(x) = [4-5]/6

E(x) = -1/6 = -17 cents

=============================

Cheers,

Answer:

The answer is 1902

Step-by-step explanation: You use pemdas. First you ansewer whats in the parentheses then exponents then add

Answer:

1902

Step-by-step explanation:

10^2= 100

9+10= 19

2+100(19) 19*100=1900 and then add 2 to get 1902

Answer:

D I may not be correct-

Step-by-step explanation:

SORREYYYY if im not tell me

The  the required value of function of the expression when x equal to 5 i.e f(5) is 167.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The given expression is

f(x) =\(7x^{2} -8\)

We have to find the value of f(5).

According to given question we have

f(x) =\(7x^{2} -8\)

Put the value of x= 5  in the given function  we get,

f(x) =\(7x^{2} -8\)

f(5) =\(7(5)^{2} -8\)

After simplifying we get

f(5)=167

Therefore, the required value of function of the expression when x equal to 5 i.e f(5) is 167.

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(a) evaluate the limit, limx → −∞ (x + 2)2 / (2 − x)2,

The value of the limit is 1.

To evaluate the limit, limx → −∞ (x + 2)2 / (2 − x)2,  we shall make use of l'Hopital's rule theorem. The theorem says that if both the numerator and the denominator of the fraction are zero or infinity at a point, then the limit can be found by taking the derivative of both the numerator and the denominator and taking the limit again. Taking the first derivative of the numerator and the denominator, First, differentiate both the numerator and denominator.Let us differentiate the numerator and the denominator: [(x + 2)2]' = 2(x + 2) and [(2 − x)2]' = −2(2 − x) respectively. Now, we shall write the limit again:

limx → −∞ 2(x + 2) / −2(2 − x)

Then, the negative signs will cancel out, giving us: limx → −∞ (x + 2) / -(2 − x)

taking x come from numerator nad denominator limx → −∞ (x + 2) / (2 − x) = limx → −∞ (−∞ + 2) / (2 − (−∞)) = limx → −∞ (−∞ + 2) / ∞= −∞ Hence, the limit, limx → −∞ (1 + 2/x) / -(2/x − 1) = 1 (as 1/∞=0).

(b) Evaluate the limit, lim x → ∞ −x^4 + x^2 + 1 / e^2x

The value of the limit is 0.

To evaluate the limit, lim x → ∞ −x^4 + x^2 + 1 / e^2x, we shall also make use of l'Hopital's rule theorem. First, differentiate both the numerator and denominator. We shall differentiate the numerator and denominator. Let's find the derivative of the numerator and the denominator.- 4x3 + 2x / 2e2xTherefore, we write the limit again:limx → ∞ (−4x^3 + 2x) / 2e^2xOnce again, we differentiate the numerator and the denominator. Let's find the derivative of the numerator and the denominator.-12x^2 + 2 / 4e^2x

Now, we shall write the limit again:limx → ∞ (−12x^2 + 2) / 4e^2x

The limit as x approaches ∞ for 4e^2x will be infinity, because e^2x will always be positive for any x, no matter how large. Therefore, limx → ∞ (−12^x2 + 2) / 4e^2x = 0 / ∞ = 0Hence, the limit, limx → ∞ −x^4 + x^2 + 1 / e^2x = 0.

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The communicable diseases that are known for targeting the human respiratory system are C. I, II, and III.

There are several diseases that target the human respiratory system and a lot of them are communicable . One of the most popular of these is the Coronavirus infection which forced the world into various lockdowns to prevent its spread.

Then there is Influenza II which is one of the most communicable diseases in existence. It also attacks the human respiratory system much like Tuberculosis III.

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32 g/mol grams of oxygen are held in a 2.00L container at a temperature of 270K and a pressure of 38.0 psi.

We need to use the ideal gas law equation.

The ideal gas law equation is PV = nRT, where P represents pressure, V represents volume, n represents the number of moles of gas, R is the ideal gas constant, and T represents temperature. To find the number of moles of oxygen, we rearrange the equation to n = PV / RT.

First, we need to convert the pressure from psi to atmospheres, as the ideal gas constant is typically given in terms of atm. 1 atmosphere is approximately equal to 14.7 psi, so 38.0 psi is approximately 2.59 atmospheres. Next, we convert the volume from liters to moles using the ideal gas constant, R. The value of R is 0.0821 L·atm/(mol·K).

Using the given values, we can now calculate the number of moles of oxygen. Plugging the values into the equation, we have n = (2.59 atm) * (2.00 L) / (0.0821 L·atm/(mol·K) * 270K). This calculation gives us the number of moles of oxygen in the container.

To convert this to grams, we multiply the number of moles by the molar mass of oxygen, which is approximately 32 g/mol.

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Answer:

0.79

Step-by-step explanation:

This value is the most opposite of the value above R, meaning that there is an association between the variables.

Answer:

.79

Step-by-step explanation:

Bc y not

Answer:

x^5*sqrt(x)

Step-by-step explanation:

5*6 = 30 with one left over

To solve the expression, the steps are add 19 and multiply by 5

Given the equation;

-3 = -19 + d/5

First,

Collect like terms

-3+ 19 = d/5

Add the values on the left side

We have

16 = d/5

Cross multiply

16 × 5 = d

We then have

d = 80

Thus, to solve the expression, the steps are add 19 and multiply by 5

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Answer:

i. $26

ii. $(8 + 3t)

Step-by-step explanation:

Given that: automatic fee is $8, and fee per hour is $3. Then;

i. If he left his car in the lot for 6 hours, amount to be paid can be calculated as thus;

since fee per hour is $3, then for 6 hours; the fee = 6 x $3

                                                                                   = $18

Total amount to be paid after 6 hours = automatic fee + $18

                                                               = $8 + $18

                                                               = $26

For parking his car for 6 hours, he would pay $26

ii. Amount paid for t hours = automatic fee + $ 3 x t

                                                          = $(8 + 3t)

Answer:

1 ⅚ miles.

Step-by-step explanation:

Makayla wants to walk 6 miles. Since she has walked 4 1/6 miles (2 5/6 miles + 1 1/3 miles), you subtract this from 6 and you will get your answer.

Answer:

D

Step-by-step explanation:

The gcf of 15 and 36 is 3 and   15 + 36 by distributive property is 51.

What is gcf?

The gcf(greatest common factor) is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

What is distributive property?

According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.                         A (B + C) = AB + AC.

Given that, 15 and 36

Factor of 15 = 3 × 5

Factor of 36 = 2 × 2 × 3 × 3

gcf of 15 and 35 is 3 because 3 only one 3 is common in both the number.

Applying distributive property on 15 an 35 = 15 + 36

                                                                      = 3×5 + 3×12

                                                                      = 3(5 + 12)

                                                                      = 3(17) = 51

Therefore, the gcf of 15 and 36 is 3 and   15 + 36 by distributive property is 51.

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Answer:

2

Step-by-step explanation:

The equation is equal to 6-3x=8x-16. This gives 11x=22. x=2

√(9/31) is the irrational number

Answer:

i You to help yes You help me