Measure Theory
Let (fn) be a sequence in L(X, F, μ) that converges pointwaise to the zero constant function. If for all n ∈ N we have that fn ≥ 0 and ∫max{f1,...,fn} ≤ M < ∞, prove that lim∫fndμ=0.

Answer:

it is a wild flamenco

Step-by-step explanation:

It will take 3 hours to bake 3 pans of baked macaroni if the oven can only bake one pan of baked macaroni for 1 hour.

If Jeanna's oven can only bake one pan of baked macaroni for 1 hour, then it will take 3 hours to bake 3 pans of baked macaroni. This is because the time it takes to bake the pans is directly proportional to the number of pans being baked. Therefore, if it takes 1 hour to bake 1 pan, it will take 3 hours to bake 3 pans. So, the answer is 3 hours.

It is important to note that the number of pans Jeanna wishes to bake, which is 34 pans, is irrelevant to the question. The question only asks for the time it will take to bake 3 pans of baked macaroni, so the number of pans Jeanna wishes to bake does not affect the answer.

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Answer:

11 is the root of 121 ........

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

Use the formula change in y divided by change in x to get your answer

Answer:

22.25per person

Step-by-step explanation:

72.50*0.0675=4.89

72.50+4.89=77.39

77.39*.15=11.61=89.00

89.00/4=22.25 per person

Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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Answer:

1. m = 1/3

2. m = -2.43

3. m = 1.2

4. m = -1/3

The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

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Answer:

-1 5/9

Step-by-step explanation:

The multiplicative inverse is another fancy way of saying reciprocal.

You can think of the reciprocal as the flipped version of the fraction. For example, the reciprocal of 3/4 is 4/3, since we just flip the numbers.

The reciprocal of -9/14 would be -14/9, or -1 and 5/9.

= -1 5/9

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Answer:

a) BC = 9.75m

b) length of the fence = 33.5m

Step-by-step explanation:

a) Theorem's pythagoras

BD^2 = BC^2 + CD^2

12^2 = BC^2 + 7^2

BC = √(12^2+7^2)

BC = √95

BC = 9.75

Answer - BC = 9.75m

b) Length of the fence;-

AB+BC+CD+AD

7+9.75+7+9.75

= 33.5m

Answer - Length of the fence = 33.5m

The expression 2344 + 835 has a value of 3179 when evaluated because it is the result of adding the numbers

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

2344 + 835

The above statement is a summation expression that adds the values of 2344 and 835

Also, there is a need to check if there are like terms in the expression or not

This is because we are adding the terms

So, we have

2344 + 835 = 3179

This means that the value of the expression is 3179 i.e the result of adding the numbers

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Answer:

B. 3.2

Step-by-step explanation:

5 companies have 0 computers.

10 companies have 1 computer.

10 companies have 2 computers.

30 companies have 3 computers.

25 companies have 4 computers.

20 companies have 5 computers.

To find mean:

0 x 5 = 0

10 x 1 = 10

10 x 2 = 20

30 x 3 = 90

25 x 4 = 100

20 x 5 = 100

100 + 100 + 90 + 20 + 10 + 0 = 320

20 + 25 + 30 + 10 + 10 + 5 = 100

100 companies were surveyed.

100 companies use 320 computers in total.

320 / 100 = 3.2

The required probability that their scores differ by more than 15 points is 0.99807.

As stated in the question, a specific country administers an exam to students with scores that are regularly distributed with a mean of 41 points and a standard deviation of 9 points. Assume we randomly select two of these testers and define the random variable d as the difference in their scores.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Z = x - μ / σ
Z = 15 - 41 / 9
Z = -2.88
Now,
P(x > 15) = P (z > -2.88)
            = 0.99807

Thus, the needed chance is 0.99807 and their scores differ by more than 15 points.

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Answer:

x int(-7.5, 0)

y int (0, 5.5)

Step-by-step explanation:

Answer:

X? im not sure about it...

The minimum probability of performance needed by each of the individual components is approximately 0.976.

Since the system consists of 5 components that must all perform for the system to work, the probability of the system performing can be expressed as the product of the probability of each component performing:

P(system performs) = P(component 1 performs) x P(component 2 performs) x ... x P(component 5 performs)

Since all components are identical, we can express the probability of each component performing as x, and the probability of the system performing as:

We want the probability of the system performing to be at least 0.91. Therefore, we can set up the following equation:

Taking the fifth root of both sides gives us:

Therefore, the minimum probability of performance needed by each of the individual components is approximately 0.976.

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The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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From the given information provided, the approximate volume of the cone is 94.24777 cubic inches.

The volume of a cone can be calculated using the formula V = (1/3) × π × r² × h, where "r" is the radius of the base of the cone, "h" is the height of the cone, and "π" is the mathematical constant approximately equal to 3.14159.

Radius r= 3 inches

Height h= 10 inches

π = 3.14159

Using the formula for the volume of a cone, V = (1/3) × π × r² × h, we can substitute the given values to calculate the volume of the cone:

V = (1/3) × 3.14159 × 3² × 10

V ≈ 94.24777 cubic inches

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Step-by-step explanation:

7x - 5 = 8

7x = 8 + 5

7x = 13 (divide both sides by 7 to get x)

7x/7 = 13/7

x = 1.85714285714

Answer:

nine over eleven because its ez

Step-by-step explanation:

Answer:

488

Step-by-step explanation:

Calculate 20% of their take-home pay

3600 * 0.20 = 720

They already pay 122 and 110 per month

720 - (122 + 110)

720 - 232

488

So the largest monthly car payment they can afford is 488

Answer:

B

Step-by-step explanation:

When numbers are negative, the number that has the bigger absolute value(meaning the actual number without the negative sign) is smaller because it is farther down from 0. So, -19% is less than -1.75%.

Negative numbers are always less than positive ones, so now, we know that the other two values are greater than the negative ones.

Now, if you convert 9/11 to decimals, you will get 0.818181818181818181...

Which is 0.008181818181... greater than 0.81. So, the final answer is...

-19% < -1.75% < 0.81 < 9/11

Ascending means increasing.

As you can see, each value in the expression -19% < -1.75% < 0.81 < 9/11 is greater than the value before it, so therefore...

B is the answer!

Answer:

I think the answer is liner

To find the inverse function of F(x) = 2x - 3, we replace F(x) with y, swap the positions of x and y, and solve for y. The inverse function is f⁻¹(x) = (x+3)/2.

To find the inverse function of F(x) = 2x - 3, follow these steps

Replace F(x) with y. The equation now becomes y = 2x - 3.

Switch the positions of x and y, so the equation becomes x = 2y - 3.

Solve for y in terms of x. Add 3 to both sides: x + 3 = 2y.

Divide both sides by 2 (x + 3)/2 = y.

Replace y with the notation for the inverse function, f⁻¹(x): f⁻¹(x) = (x + 3)/2.

So, the inverse function of F(x) = 2x - 3 is f⁻¹(x) = (x + 3)/2.

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--The given question is incomplete, the complete question is given

" How do I find the inverse function of F(x) = 2x - 3"--

It is meaningful to compute the probability that a continuous random variable is greater than or equal to a number, less than or equal to a number, or between two numbers.

In probability theory, a continuous random variable is a variable that can take on any value within a certain range or interval.

As a result, the probability that a continuous random variable takes on a specific value is zero, since there are infinitely many possible values the variable can take on.

Therefore, it is not meaningful to compute the probability that a continuous random variable is exactly equal to a number.

However, it is meaningful to compute the probability that a continuous random variable is greater than or equal to a number, less than or equal to a number, or between two numbers.

These probabilities can be calculated using the cumulative distribution function (CDF) of the random variable. The CDF gives the probability that a random variable takes on a value less than or equal to a certain value, which can be used to compute probabilities for ranges of values.

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Answer:

boring

Step-by-step explanation:

To prove the given identity, we'll start with the left side and simplify it step by step until we obtain the right side of the equation:

We have:

((sec y - tan y)(sec y + tan y)) / sec y

Using the difference of squares, we can rewrite the numerator:

((sec y)^2 - (tan y)^2) / sec y

Recall the trigonometric identity: (sec x)^2 - (tan x)^2 = 1

Substituting this identity into our expression:

(1) / sec y

Using the reciprocal identity: sec x = 1 / cos x

We can rewrite the expression as:

1 / (1 / cos y)

Simplifying further by multiplying by the reciprocal:

cos y / 1

Which simplifies to:

cos y

Therefore, we have shown that the left side of the identity ((sec y - tan y)(sec y + tan y)) / sec y simplifies to cos y, which is the same as the right side of the equation.

Answer:

(2,4)

Step-by-step explanation:

thats the point where both lines meet

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation: (−∞,∞)

Set-Builder Notation: {x|x∈R}

f(x) is continuous on (−∞,0).

The function is continuous.

Step-by-step explanation: