The digits of a two-digit number differ by 2. If the digits are interchanged and the resulting number is added to the original number, we get 110. What can be the original number?

The factors that affect the width of a confidence interval are a. population variation, c. sample size, and d. confidence level

Confidence interval refers to a statistical measure that attempts to estimate the range of values that could plausibly contain the true value of a population parameter. A confidence interval, in other words, is a statistical range that tells us how sure we are that a statistical estimate we're interested in lies between two values.

There are several factors that can affect the width of a confidence interval. Here are some of them:

The Question was Incomplete, Find the full content below :

what factors of the following affect the width of a confidence interval?

a. population variation

b. none of them

c. sample size

d. confidence level

e. sample mean

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The graph cannot be proportional because y stays the same

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

The graph

On the graph, we can see that:

As x increases, the values of y remains unchanged

For the graph to be proportional, it must be a straight line that passes through the origin

And the variables must change

Hence, the true statement is the graph cannot be proportional

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Answer:

40°, 43°, 60°

Step-by-step explanation:

In each triangle, you are given the measures of two angles. Subtract those two measures from 180° to find the measure of the third angle.

Triangle A:

c = 180° - 90° - 50°

c = 40°

Triangle B:

c = 180° - 112° - 25°

c = 43°

Triangle C:

c = 180° - 70° - 50°

c = 60°

Answer: 401 you can use a caculater

Answer:

11,629 divided by 29 = 401

Step-by-step explanation:

Essentially, the way I process division is I think of it as seeing how many times we can subtract. For this problem we would first see how many times 29 goes into 116, it goes in 4 times. We would then put the four above the problem, next we bring the two down. 29 goes into 2 no times so next we put a 0 next to the four. Afterwords, we would bring the 9 down next to the 2 and see how many times 29 goes into 29, that is 1 time. We put the 1 above next to the 4 and the 0 thus making 401. You can then check your work by multiplying your answer by the number you are dividing by.

401 times 29 = 11629 so you know you got your answer correct.

Good luck!

Answer:

-8

Step-by-step explanation: As you go back 10 into the negetives and i saying neg 8 would be your answer

Answer:

They are both correct. Candace must use a pair of additive inverses.

Step-by-step explanation:

Sean is correct. Zero is the "additive identity." That means when you add zero to any number, that number keeps its identity, meaning it remains the same. Adding zero to any number does not change the number.

For example:

5 + 0 = 5

-10 + 0 = -10

2.89 + 0 = 2.89

Candace is also correct. She can add two numbers to -100 and still have -100. the way to do it is that the numbers that she adds to -100 must be opposites, or additive inverses. Additive inverses, also called opposites, are two numbers whose sum is zero.

For example:

-5 and 5

-22 and 22

Each pair of numbers above is a pair of additive inverses since their sum is zero.

If Candace adds two numbers to -100, and the numbers are a pair of additive inverses, then she is adding zero to the -100, so the result is still -100.

Answer: They are both correct. Candace must use a pair of additive inverses.

The answer is using y<8 using inequality

what is inequality?

The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality. The equal sign is substituted between by the less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

It's not always necessary to balance an equation in mathematics by using the "equal to" symbol on both sides. When something is more than or less than another, it can sometimes be said that the two are not equal. When two numbers or other mathematical expressions are compared unequally, this is referred to as an inequality in mathematics. Inequalities are a type of mathematical expression that belongs to algebra.

4y <32

y<32/4

y<8

Hence the value of y should be less than 8.

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Answer:

The magnitude of the net gravitational force acting on Ify is 9.1 newtons.

Ify is getting pulled in a direction of 6.2 radians.

Step-by-step explanation:

The vector g = (9,-1)   describes the net gravitational force acting on Ify.

We can find the magnitude of  g, using the Pythagorean theorem.

Answer: If it is a rectangle then the perimeter is 58 cm

Step-by-step explanation:

10x2= 20

19x2= 38

38+20= 58

Yes, this word problem is solvable using exponential functions.

To solve this problem, we need to use the formula for exponential growth:

P(t) = P0 * e^(rt)

where P(t) is the population after t hours, P0 is the initial population, r is the growth rate, and e is the mathematical constant approximately equal to 2.71828.

In this problem, we are given that the population doubles in size every 25 hours. This means that the growth rate is 1/25, since the population is multiplying by 2 each time.

We are also given that there are about 1.35 million infections every year. Since there are 365 days in a year, this means there are about 1.35 million/365 = 3699.18 infections per day.

We can now use this information to find the initial population:

P0 = 3699.18 / e^(1/25 * 24 * 365)

P0 ≈ 2135.05

So the initial population is about 2135.05 bacteria.

To find the population after one year, we can use the formula again:

P(365 * 24) = 2135.05 * e^(1/25 * 24 * 365)

P(365 * 24) ≈ 3.89 x 10^18

Therefore, there are approximately 3.89 x 10^18 bacteria present after one year.

The solution to the equation does not exist

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

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

Answer:

(3/7)^7

Step-by-step explanation:

When multiplying exponents we can use the formula: a^m x a^n = a^m+n.

In this case, we can plug in 3/7 for a, and their respective exponents as m and n.

(3/7)^3 x (3/7)^4= (3/7)^3+4= (3/7)^7

Hope this helps!

:)

Answer:

\((\frac{3}{7})^7\)

Step-by-step explanation:

\(Using \ formulas :\\ a^x \cdot a^y = a^{x+y}\\\\\frac{b^x}{b^y} = b^{x-y}\\\\(\frac{a}{b})^x = \frac{a^x}{b^x}\)

\((\frac{3}{7})^3 \cdot (\frac{3}{7})^4 = \frac{3^3}{7^3} \cdot \frac{3^4}{7^4} = \frac{3^{3+4}}{7^{3+4}} = \frac{3^7}{7^7} = (\frac{3}{7})^7\)

Answer:

Starting at the origin (0, 0), go right 3 units, then down 7 units. You will end at (3, -7).

True. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.

A linear combination of the columns of a matrix A refers to a vector that can be obtained by multiplying each column of A by a scalar (real number), and then adding the resulting vectors together.

Let's consider the equation Ax = b, where A is a matrix, x is a vector of unknowns, and b is a vector. This equation represents a system of linear equations.

The statement states that vector b is a linear combination of the columns of A if and only if the equation Ax = b has at least one solution.

Explanation:

If b is a linear combination of the columns of A:

If b can be expressed as a linear combination of the columns of A, then there exist scalars (real numbers) such that when each column of A is multiplied by its corresponding scalar and added together, the resulting vector is equal to b.

In other words, b lies in the column space (or span) of A, which is the set of all possible linear combinations of the columns of A.

In this case, Ax = b has at least one solution, because we can find values for x (the unknowns) that satisfy the equation, by choosing the scalars that correspond to the linear combination of the columns of A that gives us b.

If Ax = b has at least one solution:

If Ax = b has at least one solution, it means that b is reachable by multiplying A with some vector x. This implies that b lies in the column space of A, because the column space of A is the set of all possible linear combinations of the columns of A, and Ax represents a linear combination of the columns of A.

Therefore, the statement is true. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.

This means that the equation Ax = b is consistent, meaning that the system of equations has one or more solutions.

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Answer:

2296 unit^2

Step-by-step explanation:

The area is the sum of the  6 rectangles in the net.

= 38*10 + 38*16 + 38*10 + 38*16 + 10*16 + 10*16

= 380 + 608 + 380 + 608 + 160 + 160

= 2296.

The most people are fed up with celebrities who get on their soapbox and air their political opinions. When people on the street have been asked by TV reporters how they feel about this issue, they almost always say that they wish celebrities would keep their opinions to themselves.

This issue has always been a topic of debate where famous people voice their political opinions, and the public seems to get tired of it. There are various reasons why people feel this way, some of which include the following:

One reason is that people feel like celebrities should stick to what they know, which is their profession and not involve themselves in politics. People believe that their opinions may not be genuine or well-informed because they have not experienced what regular citizens go through.

Another reason is that many people feel like celebrities are not well-versed in politics and may not have a good understanding of the situation, which is why their opinion may not matter. Moreover, some people feel that their opinions are irrelevant, especially when it comes to politics and policies that affect the general public.

Some celebrities do not have a formal education on political matters that would support their opinion.Having said that, there are still people who feel the opposite and believe that celebrities have every right to voice their opinions as long as they are responsible and well-informed.

However, the people are divided on this issue, but most feel that celebrities should not have the right to speak up when it comes to political matters.

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Answer: X 0 1 2 3 4 5 6 7 8 P(X=k) 0.05 0.07 0.13 0.12 0.20 0.25 0.07 0.03 0.08  the probability that more than 5 patients arrive at the hospital

What is the probability that more than 5 patients arrive at the hospital with flu-like symptoms between 12:00pm and 12:20pm?

Step-by-step explanation:

Group of answer choices

A. 0.43

B. 0.18

C. 0.82

D. 1

Part two of the question:

using the same information as stated before,

Match the probability statements with the correct probabilities.

(choose one answer)

The probability that X is less than or equal to 5.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that X is greater than 7.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that X is between 3 (noninclusive) and 7 (noninclusive).

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

The probability that no patients arrive in that interval.

A. 0.82 B. 0 C. 0.05 D. 0.48 E. 0.64 F. 1 G. 0.08 H. 0.52

Answer:

Step-by-step explanation:

3245

The derivative of cos(x) is -sin(x), which can be found using power rule of differentiation and chain rule of differentiation.

The derivative of cos(x) is a fundamental concept in calculus, which describes the rate of change of the cosine function at a particular point.

The derivative of cos(x) can be calculated using basic differentiation rules, and its value gives insight into the slope and curvature of the cosine function at that point.

The derivative of cos(x) can be found using the power rule of differentiation, which states that the derivative of x^n (where n is a constant) is nx^(n-1). In the case of cos(x), we can use the chain rule of differentiation to calculate the derivative. The chain rule states that if we have a composite function, f(g(x)), the derivative of f(g(x)) is f'(g(x)) * g'(x).

Using the chain rule, we can write cos(x) as f(g(x)) = f(sin(x)), where g(x) = sin(x). We can then use the fact that the derivative of sin(x) is cos(x) and the derivative of cos(x) is -sin(x) to find the derivative of cos(x). Thus, the derivative of cos(x) can be written as:

d/dx [cos(x)] = -sin(x)

This expression gives us the rate of change of the cosine function at any point x, which can be used to understand the behavior of the cosine function and to calculate the slope and curvature at that point.

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Answer:

15) 55°

16) 90°

Step-by-step explanation:

15)

55° + 75° + x = 180°

x = 50°

___

50° + 60° + x = 180°

x = 70°

__

70° + 55° + ? = 180°

? = 55°

______________________________

16)

55° + 90° + x = 180°

x = 35°

__

35° + x = 90°

x = 55°

___

55° + 35° + ? = 180°

? = 90°

Our standard linear slope equation is:

mx + b = y

We're told our slope is 1/2, so that's our m value.

When x = 0 our value is 5. If you need this visualized, then:

1/2 * 0 +b = 5

0 + b = 5

b = 5

So our equation looks like:

x/2 + 5 = y

400-220=180

180/3=60

The answer is 60.

The standard deviation of the given dataset is approximately 8.49.

To calculate the standard deviation of a dataset, we need to follow a few steps.

First, we calculate the mean (average) of the dataset.

In this case, the mean is

\(\frac{(12+36+24+36+36+18)}{6 } = 30\)

Next, we subtract the mean from each data point and square the result.

These squared differences are:

\((12-30)^2, (36-30)^2, (24-30)^2, (36-30)^2, (36-30)^2, (18-30)^2\).

After that, we calculate the mean of these squared differences, which are:

\(\frac{(18^2 + 6^2 + 6^2 + 6^2 + 6^2 + 12^2)}{6 } = 72\)

Finally, to find the standard deviation, we take the square root of this mean of squared differences:

\(\sqrt(72) \approx 8.49\).

Therefore, the standard deviation of the given dataset is approximately 8.49.

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The experimental probability of the coin landing heads up is calculated by dividing the number of times the coin landed heads up (16) by the total number of flips (40). So the experimental probability of the coin landing heads up is:

P(heads up) = 16/40

Simplifying the fraction by dividing both the numerator and denominator by 8, we get:

P(heads up) = 2/5 or 0.4

Therefore, based on the results, the experimental probability of the coin landing heads up is 0.4 or 2/5.

To find the experimental probability of the coin landing heads up, you'll need to use the following formula:

Experimental probability = (Number of successful outcomes) / (Total number of trials)

In this case, the successful outcome is the coin landing heads up, which occurred 16 times. The total number of trials is 40 flips. So, the experimental probability would be:

Experimental probability (heads up) = (16 successful outcomes) / (40 total flips)

Now, divide 16 by 40 to get the probability:

Experimental probability (heads up) = 16/40 = 0.4 or 40%

So, based on the results, the experimental probability of the coin landing heads up is 40%.

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11 is the value of z

Given: A regular polygon with an angle labeled a.

Since the polygon is regular, that means the length of sides and the measure of angles are all equal.

The given polygon has 9 sides (nonagon) and 9 angles which are all equal.

if one of the angles is a. The total number of angles will be 9 × a

Also, the sum of the interior angles can be found using the formula:

(n-2) × 180°  

where n is the number of sides

In our case, n = 9

Sum of angle = (9-2) × 180°  = 1260° Thus:  

9 × a = 1260°

9a = 1260°

a = 1260/9 = 140°

Since a = (8z + 52)°

140 = 8z + 52

8z = 140 -52

8z = 88

z = 88/8 = 11

Therefore, the value of z is 11. The 4th option is the answer

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Answer:

Step-by-step explanation:

Answer:

3x^3+7x^2y−4y^3

Step-by-step explanation:

(3x^2+xy+−2y^2)(x+2y)

=(3x^2)(x)+(3x^2)(2y)+(xy)(x)+(xy)(2y)+(−2y^2)(x)+(−2y^2)(2y)

=3x^3+6x^2y+x2y+2xy^−2xy^2−4y^3

=3x^3+7x^2y−4y^3

The sum of two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) is a standing wave.

The two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) show that the sum of these two waves is a standing wave.

The two waves interfere to create a wave that doesn't appear to be moving. The standing wave is represented by E Â 2E0 cos(kz) sin(wt), where E0 is the maximum amplitude of the electric field and k is the wave number.

To find the magnetic field associated with each traveling wave, Maxwell's version of Ampere's Law can be used.The magnetic field associated with each wave is given by

B = µoE / c  where µo is the permeability of free space and c is the speed of light in a vacuum.

Therefore, the magnetic field associated with each traveling wave is given by

B1 = µoE1 / c  and B2 = µoE2 / c.

The Poynting vector for each traveling wave is given by

S = E x B µo. Therefore, the Poynting vector for the two waves is given by S1 = E1 x B1 µo  and S2 = E2 x B2 µo .

The time-average value of the Poynting vector is given by (1 / 2) E0² µo. The direction of the Poynting vector is perpendicular to the direction of propagation of the wave, and it represents the rate at which energy is transported by the wave.

The total magnetic field associated with the standing wave is given byB = B1 + B2. Substituting the expressions for B1 and B2 yields

B = µo / c (E1 - E2).

The Poynting vector for the standing wave is given by S = E x B µo.

Substituting the expressions for E and B yields

S = (2E0 sin(kz))² µo / 4c = E0² µo sin²(kz) / c.

The time-average value of the Poynting vector is (1 / 2) E0² µo, which is the same as that of the individual waves

The sum of two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) is a standing wave. Maxwell's version of Ampere's Law is used to find the magnetic field associated with each traveling wave. The Poynting vector for each traveling wave is found, and the time average value for each is determined. The total magnetic field associated with the standing wave is calculated. Finally, the Poynting vector for the standing wave is found, and the time average value is determined.

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Hence, when the is full, it will hold 700 liters of brine and 250 kg of salts dissolved in it.

The fundamental mass unit in the measuring units is the kilogram (kg). The weight of 1,000 cubic centimeters of water is very close to (and was initially planned to be exactly) one kilogram. The precise definition of a pound is 0.45359237 kg.

Let's first figure out how long is takes for the brine tank to fill.

The tank must be filled up to its maximum capacity of 700 liters, which is 100 liters of brine at first. As a result, the amount of brine that must be added is:

700 liters - 100 liters = 600 liters

The time required to fill it up 600 liters of brine if 8 liters of brine per second are injected into the tank is:

600 liters / 8 liters per second = 75 seconds

Let's check the tank's salt content after 75 seconds.

The amount of salt in the tank after 75 seconds is equal to: 100 kilograms (the original amount of salt) + (8 liters per unit - 6 each second) x 1 kilogram of salt per liter x 75 seconds. The rate of salt in the tank increasing is 1 kilogram per liter per second.

= 100 kilograms + 150 kilograms

= 250 kilograms

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The equation of the new function will be g(x) = x² – 6. Then the correct option is A.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The function is given below.

f(x) = x²

If you vertically shift this function down 6 units.

Then the equation of the new function will be

If the value of k is negative, then the function get shifted downwards.

Then the new function will be

g(x) = x² – 6

Then the correct option is A.

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