What is the sum of the series

The statement that "f(x) is Riemann integrable over [0, 1] if and only if f(x) is continuous almost everywhere" is not entirely correct. While continuity almost everywhere is a sufficient condition for Riemann's integrability, it is not a necessary one.

A function is Riemann integrable over an interval if and only if it is bounded and has a finite number of discontinuities in that interval, which are called "jump discontinuities". So, if a function is continuous almost everywhere, it is certainly Riemann integrable.

On the other hand, there are functions that are Riemann integrable but not continuous almost everywhere. For example, the function f(x) = x on [0, 1] is Riemann integrable, but it is not continuous at x = 0 and x = 1, so it is not continuous almost everywhere.

Therefore, we can conclude that continuity almost everywhere is a sufficient condition for Riemann's integrability, but not a necessary one.

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Step-by-step explanation:

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Answer:

8

Step-by-step explanation:

We need to sort your set into Least-to-Greatest order.

4, 5, 5, 6, 10, 11, 12, 13

That is your set in least to greatest order.

Which 2 numbers are in the middle?

They are 6 and 10.

Now, we find the mean of 6 and 10.

(6+10)/2 = 8

8 is your median

Answer:

b. 12.8

Step-by-step explanation:

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The correct answer is Option C. The proper decision, in this case, is  "Fail to reject H0. There is not enough evidence at the 1% level of significance to reject the claim."

The alternative hypothesis, in this case, is "μ1 ≠ μ2", as the claim being tested is that the two population means are equal.

To calculate the standardized test statistic, we can use the following formula:

Substituting in the values given in the problem, we get:

z = (18 - 20) / sqrt(((3.6^2) / 27) + ((1.4^2) / 26))

z = (-2) / sqrt((12.96 / 27) + (1.96 / 26))

z = (-2) / sqrt(0.481 + 0.075)

z = (-2) / sqrt(0.556)

z = (-2) / 0.746

z = -2.67

To calculate the P-value, we can use the standard normal table to look up the probability of getting a value of -2.67 or lower if the null hypothesis were true. The P-value in this case would be the probability of getting a value equal to -2.67 or lower, plus the probability of getting a value equal to 2.67 or higher.

Using the standard normal table, we find that the probability of getting a value equal to -2.67 or lower is 0.0039, and the probability of getting a value equal to 2.67 or higher is 0.9961. Therefore, the P-value is 0.0039 + 0.9961 = 1.0000.

Since the P-value is equal to 1.0000, which is greater than the level of significance α = 0.01, we fail to reject the null hypothesis.

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Answer: D - 14

Step-by-step explanation:

1 gallon = 2.15

So to find how many gallons is worth 30.10, divide by 2.15

30.10 ÷ 2.15 = 14

Answer:

Step-by-step explanation:

To find the required gallons of gas for 30.10$, you can use the following formula:

Required gallons of gas=Cost of required gallons of gas/cost of one gallon of gas

Here given that, the cost of required gallons of gas is 30.10$ and the cost of one gallon of gas is 2.15$

Now apply the formula:

Required gallons of gas = 30.10$/2.15$ = 14

Therefore, the required gallons of gas = 14

So 14 gallons of gas costs 30.10$

Option D is the correct answer.

Just write it in the order it first was in for instance. Firstly she put flour in the bowl. Secondly she added water. And finally she put the sugar in. Like that.

Answer:

Firstly she put flour in the bowl. Secondly she added water. And finally she put the sugar in.

Therefore , the solution of the given problem of equation comes out to be s = 9/4 *t is the best equation.

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation

y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

s represents the number of hours sick leave

and number of weeks be represented by t.

So,

4 weeks and 9 hours of sick leave .

To find the best equation which satisfies the problem:

=> s = 9/4 *t

Putting s = 9

and t =4

=> 9 = 9/4 * 4

=> 9 =9

Therefore , the solution of the given problem of equation comes out to be s = 9/4 *t is the best equation.

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Answer:

$96

Step-by-step explanation:

4 movie tickets=$48

4 x 2 =8

$48 x 2 = $96

Answer:

$96

Step-by-step explanation:

You are given the slope, which means if you continue the equation you will get 96. Let's see how. 48 divided by 4 is equal to 12. Now you're trying to figure out the cost of 8. 12*8 would be 96, because the price of a single ticket is 12. Let me know if you have any questions. Have a good rest of your night and good luck.

Answer:

slope = - \(\frac{3}{11}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 14, 3 ) and (x₂, y₂ ) = (- 3, 0 )

m = \(\frac{0-3}{-3-(-14)}\) = \(\frac{-3}{-3+14}\) = - \(\frac{3}{11}\)

Answer:

The slope is M= -3/11  (M= Negetive three over eleven)

Step-by-step explanation:

Answer:

i think its 15

Step-by-step explanation:

add 3,4,5, and 3 and BOOM 15.

Answer:

- 6 x + 10

Step-by-step explanation:

2 ( - 3 x + 5 )

multiply 2 seperately into all the things inside

( - 6 x + 10 )

Answer:

-6x + 10

Step-by-step explanation:

\(2\left(-3x+5\right)\)

Distribute

\(2\left(-3x+5\right)=2\left(-3x\right)+2\cdot \:5\\2\left(-3x\right)+2\cdot \:5\)

Multiply

\(2(-3x)\\= 2 \times (-3x)\\= -6x\)

\(2 \cdot 5 = 10\)

Simplify

\(= 6x + 10\)

Answer:

x=16

Step-by-step explanation:

The size of angle ACB to the nearest degree is 88 degree.

Construction Steps:

Create a line segment BC with the property AC = 4 cm.

Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.

Join AB and AC now. Consequently, the necessary triangle is ABC.

With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.

Cut an arc of 3 cm from point B.

Embrace BC and AC

Triangle with  angle ABC is necessary.

< ACB = 88 degree

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Answer:

Person D

Step-by-step explanation: Because when you subtract the deductions from what the people earned. Person D has the least amount of money.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

\(\tan \theta-\cot \theta\)

Step-by-step explanation:

\((\sec \theta - \csc \theta)(\cos \theta + \sin \theta)= \\\\\\\left( \dfrac{1}{\cos \theta}-\dfrac{1}{\sin \theta} \right)(\cos \theta + \sin \theta)= \\\\\\\left( \dfrac{1}{\cos \theta} \cdot \cos \theta \right) + \left( \dfrac{1}{\cos \theta} \cdot \sin \theta \right) - \left( \dfrac{1}{\sin \theta} \cdot \cos \theta \right) - \left( \dfrac{1}{\sin \theta} \cdot \sin \theta \right)= \\\\\\1+\dfrac{\sin \theta}{\cos \theta}-\dfrac{\cos \theta}{\sin \theta} -1= \\\\\\\tan \theta-\cot \theta\)

Hope this helps!

Answer:

7000

Step-by-step explanation:

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Answer:

7,000

Step-by-step explanation:

First, round the numbers:

Next, add:

I hope this helps!

(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment

Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.

The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:

D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63

Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)

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Answer: It’s -1,-3

Step-by-step explanation:

got 100 on the test

Answer: 1152 sq m

Step-by-step explanation: 24x24=576+ 24x24=576 so 576+576

Answer:

387 contains 80 and 8 x 10 = 80

Answer:

write 4/27 as the product of a prime raised to a power

Answer:

1/12

Step-by-step explanation:

probability of rolling number less than 2 is 1/6

probability of flipping heads is 1/2

1/6*1/2=1/12

9514 1404 393

Answer:

Step-by-step explanation:

Usually, we write an equation for each side of the inequality.

Left-side equation:

  y = x^2 +6x

Right-side equation:

  y = x^2

So, the system of two equations in two variables is ...

_____

Additional comment

The solution of this system is (x, y) = 0.

Each silver bead costs $0.50, and each green bead costs $1.

Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.

According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.

The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.

Using this information, we can set up the following system of equations:

25s + 15g = 27.50 (Equation 1)

10s + 5g = 10 (Equation 2)

We can solve this system of equations using any appropriate method, such as substitution or elimination.

Let's use the elimination method to solve the system:

Multiplying Equation 2 by 3, we get:

30s + 15g = 30 (Equation 3)

Subtracting Equation 3 from Equation 1:

25s + 15g - (30s + 15g) = 27.50 - 30

-5s = -2.50

s = 0.50

Now, substituting the value of s into Equation 2:

10(0.50) + 5g = 10

5 + 5g = 10

5g = 5

g = 1

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Answer:

35/45 or 7/9

Step-by-step explanation:

Answer:  parisslasheaa_ on IG

Answer:

300 cupcakes

Step-by-step explanation:

\(27 = .09c\)

\(c = \frac{27}{.09} = \frac{2700}{9} = 300\)

In total, the bakery sold 300 cupcakes on a certain day.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A bakery sold 27 mocha cupcakes in a day, which was 9% of the total number of cupcakes sold that day.

let, 'x' be the total number of cupcakes sold that day.

Therefore, 9% of 'x' is 27 which is,

(9/100)×x = 27.

0.09x = 27.

x = 27/0.09.

x = 300.

So, The number of cupcakes sold that day is 300.

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Answer:

x = 65

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360

x + 95 + 118 + 82 = 360

x + 295 = 360 ( subtract 295 from both sides )

x = 65

The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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