what is derivative calculator symbolab

The area of the surface generated when the given curve is revolved about the given axis 5x^1/3 is [tex]\frac{\pi }{675} [34\sqrt{34} - 125][/tex].

The curve x = f(y)

The area of the surface around the y-axis from y = a → y = b is:

[tex]\int\limits^a_b {2\pi x\sqrt{1+(\frac{dx}{dy})^2 } } \, dx[/tex]

From the given curve:

[tex]y = 5x^{1/3}[/tex] ; assuming the region bounded by the curve is 0 ≤ y ≤ 1

So;

    [tex]y = 5x^{1/3}[/tex]

⇒ 5x = y³

⇒ x = 1/5 y³

The differential of the above equation Is:

   dx/dy = 1/5 (3y²)

⇒ dx/dy = 3/5 (y²)

Now, we have the area of the surface produced around the curve  [tex]y = 5x^{1/3}[/tex] through the y axis from the region y = 0 to y = 1

∴ [tex]\int\limits^1_0 {2\pi \frac{1}{5}y^3\sqrt{1+(\frac{3}{5} y^2)^2} } \, dx[/tex]

= [tex]\frac{2\pi }{5} \int\limits^1_0 {y^3\sqrt{1+(\frac{9}{25} y^4)} } \, dy[/tex]

= [tex]\frac{2\pi }{5} \int\limits^1_0 {y^3\sqrt{\frac{25+9y^4}{25})} } \, dy[/tex]

= [tex]\frac{2\pi }{5} \int\limits^1_0 {y^3\sqrt{25+9} y^{4} )} } \, dy[/tex]

Let make u = [tex]\sqrt{25+9y^{4} }[/tex]

It implies that:

[tex]u^3 = (25+9y^4) \sqrt{25+9y^4}[/tex]

and, [tex]u = \sqrt{25+9y^{4} }[/tex]

⇒ [tex]du = \frac{1}{2\sqrt{25+9y^4} } (36y^3) dy[/tex]

⇒ [tex]y^3dy = \frac{1}{18} \sqrt{25+9y^{4} }du[/tex]

when y = 0 ;

[tex]u = \sqrt{25+9y^{4} }[/tex]

[tex]u = \sqrt{25+9{(0)^4} }[/tex]

[tex]u = \sqrt{25 }[/tex]

u = 5

when y = 1;

[tex]u = \sqrt{25+9{(1)^4} }[/tex]

[tex]u = \sqrt{34} }[/tex]

∴The equation [tex]\frac{2\pi }{5} \int\limits^1_0 {y^3\sqrt{25+9} y^{4} )} } \, dy[/tex]  can be written as:

= [tex]\frac{\pi }{225} [\frac{u^3}{3} ]\left \{ {{y=\sqrt{34} } \atop {x=5}} \right.[/tex]

= [tex]\frac{\pi }{675} [34\sqrt{34} - 125][/tex]

Therefore,

The area of the surface generated when the given curve is revolved about the given axis 5x^1/3 is [tex]\frac{\pi }{675} [34\sqrt{34} - 125][/tex].

Complete Question:

Find The area of the surface generated when the given curve is revolved about the given axis 5x^1/3.

Learn more about Area:

https://brainly.com/question/27683633

#SPJ4

a) The sister spends more (making total payments of $414,000) over the 30-year period than the young man, who spends $306,000.

b) Assuming both living situations are the same, the sister is in a better position as far as having a financial asset is concerned.

The numbers are determined using the mathematical operations of multiplication and subtraction.

The monthly rent for an apartment = $850

The total payments for 30 years = $306,000 (30 x 12 x $850)

Sister's Payment for a Mortgaged House:

Down payment = $20,000

Monthly mortgage payments = $1,150

The total payments for 30 years = $414,000 ($1,150 x 360)

The difference in total payments = $108,000 ($414,000 - $306,000)

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

Answer: her allowance is $24

Step-by-step explanation:

The mean of the data is 16.5 and the standard deviation is 7.28

The given data set is a small sample of 12 observations.

To determine the type of distribution, we can first create a histogram or a boxplot of the data.

A histogram of the data shows that the distribution is unimodal and slightly right-skewed.

Alternatively, we can calculate the skewness of the data. If the skewness is close to zero, then the data is approximately symmetric. If the skewness is positive, then the data is right-skewed. If the skewness is negative, then the data is left-skewed.

Calculating the skewness of the data set, we get:

skewness = (n / ((n - 1) * (n - 2))) * Sum[(xi - x-bar)^3 / s^3]

where n is the sample size, x-bar is the sample mean, s is the sample standard deviation, and Sum is the sum of the values in the data set.

Using this formula, we get a skewness of approximately 0.456, which indicates that the distribution is slightly right-skewed.

Based on these findings, we can conclude that the distribution of the data set is approximately normal, but slightly right-skewed.

To find the best measure of center and spread, we can calculate the sample mean and sample standard deviation, respectively.

Sample mean:

mean = (1 + 7 + 11 + 14 + 17 + 17 + 17 + 21 + 21 + 23 + 23 + 26) / 12 = 16.5

Sample standard deviation:

s = sqrt((1/11) * [(1 - 16.5)^2 + (7 - 16.5)^2 + ... + (26 - 16.5)^2]) = 7.28

Therefore, the best measure of center for this data set is the sample mean of 16.5, and the best measure of spread is the sample standard deviation of 7.28.

Learn more on mean here;

https://brainly.com/question/14532771

#SPJ1

The function h(0) when evaluated is 3

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

h(n) = 3(2)^n

Given that

h(0)

This means that

n = 0

Substitute the known values in the above equation, so, we have the following representation

h(0) = 3(2)^0

Evaluate

h(0) = 3

Hence, the value is 3

Read more about function at

https://brainly.com/question/28277110

#SPJ1

The prepositional phrase would be B. of the bees.

The prepositional phrase would be C. he took shelter.

A prepositional phrase is a group of words that includes a preposition (such as "in," "on," "at," "by," "with," etc.) and a noun or pronoun object, along with any associated modifiers.

Prepositional phrases can be used in a variety of ways, including to describe location, time, possession, and other relationships between words in a sentence. In the given statements, the prepositional phrases would be "of the bees" and " he took shelter. "

Find out more on prepositional phrases at https://brainly.com/question/10707375

#SPJ1

She should figure out how many calories she burned compared to how many miles she ran, which is the proper statement.

When two amounts are quantitatively related, it is possible to see how many times one value contains or is contained by the other. for instance, "There are now two computers for every student."

Given here: The table containing data calories vs miles run.

Calculating the ratio between each pair of data in a table allows you to determine whether a proportional relationship is there. The table depicts a proportionate relationship if all of those ratios are the same.

Thus calculating the ratio for each pair of entries we get

1) ratio=118/1.2

=295:3a  or unit rate 98.33 calories per mile

2) 190/2= 95:1 or unit rate 95 calories per mile

3) 226/2.4=565:6 or unit rate94.1

clearly, the ratios are different.

Hence, the table containing the data doesn't form a proportional relationship.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ1

Slope of the given graph is 2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us take two points to find the slope of line.

The two points are (4, 1) and (6,5)

m=5-1/6-4

m=4/2

m=2

Hence, slope of the given graph is 2.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

It take 20 years for Eva's initial deposit to double?.

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Eva deposits $2,000 in a savings account with an interest rate of 5% compounded continuously.

Here, Principal amount = $2000

Amount = $4000

Interest rate = 5%

Now, We know that;

⇒ Interest = PRT

Substitute all the values, we get;

⇒ 2000 = 2000 × 0.05 × T

⇒ T = 1/0.05

⇒ T = 100/5

⇒ T = 20 years

Learn more about simple interest visit;

brainly.com/question/2294792

#SPJ1

a) The square root of complex number, 2i is equals to the ±( 1 + i).

b) The square root of complex number, (1 - √3i) is equals to the ±1/√2(√3 - 1). The rectangular coordinates plane of both present in above figure.

Square root of a number is defined as a value which on multiplication by itself, results the original number. If p is the square root of q then it is denoted as p=√q. We have to determine the square root of complex numbers and express them in rectangular coordinates. For a nonzero complex number z, its square roots are √z =√r exp( i(2πk + θ)/2), k = 0,1

(a) The magnitude of 2i is r =√(2² + 0) = 2, and the principal argument is θ = π/2. So, (2i)½ = r½ exp(i (2πk + π/2)/2) , k = 0, 1

For first root, substuting, k = 0

=> (2i)½ = 2½ exp(i (2π×0 + π/2)/2)

=> (2i)½ = √2 exp(i (π/2)/2)

=> (2i)½ = √2 exp(i π/4) = √2(cos(π/4) + i sin(π/4)

=> (2i)½ = √2( 1/√2 + i(1 /√2)) = 1 + i

For second root substuting, k = 1

=> (2i)½ = 2½ exp(i (2π×1 + π/2)/2)

=> (2i)½ = √2 exp(i (5π/2)/2)

=> (2i)½ = √2 exp(i (5π/4) = √2( cos(5π/4) + i sin(5π/4)

=> (2i)½ = √2(- 1/√2 + i(-1 /√2)) = - (1 + i)

Hence, square root of 2i is ±( 1 + i).

b) 1 -√3i

The magnitude and principal argument of 1 −√3i are respectively, r = √(1² + (√3)²) = 2 and θ = tan⁻¹ ( -√3/1) = - π/3. Similar to part(a), square root of (1 - √3i) is written as (1 - √3i)½ = r½ exp(i (2πk - π/3)/2), k= 0, 1

For first root , k = 0

(1 - √3i)½ = √2 exp(i (2π×0 - π/3)/2)

=> (1 - √3i)½ = √2 exp(i (- π/6) )

=> (1 - √3i)½ = √2( cos(-π/6) - i sin(π/6))

=> (1 - √3i)½ = √2( cos(π/6) - i sin(π/6))

=> (1 - √3i)½ = √2( √3/2 - i (1/2)) = 1/√2(√3 - 1)

For second root, k = 1

(1 - √3i)½ = √2 exp(i (2π×1 - π/3)/2)

=> (1 - √3i)½ = √2 exp(i (5π/3)/2)

=> (1 - √3i)½ = √2 exp(i (5π/6))

=> (1 - √3i)½ = √2 (cos(5π/6) + i sin(5π/6))

=> (1 - √3i)½ = √2 (- √3/2 + i(1/2) ) = - 1/√2(√3 - i)

so, (√1- √3i ) is ± 1/√2(√3 - 1). Hence, we got all required square roots.

To learn more about complex numbers, visit:

https://brainly.com/question/1245664

#SPJ4

Complete question:

1. Find the square roots of (a) 2i; (b) 1 - √3i and express them in rectangular coordinates.

The area of the shaded region that is the segment of the circle is equal to 4.6 ft² to the nearest tenth.

To calculate the area of a segment of a circle, you need to know the radius of the circle, the central angle of the segment (in radians or degrees), and possibly the height of the segment (the distance from the chord of the segment to the center of the circle).

The formula for the area of a segment of a circle is:

A = θ/360° × πr² - 1/2 × r² × sinθ

where A is the area of the segment, r is the radius of the circle, and θ is the central angle of the segment in degrees.

From the question;

the central angle = 90°

radius r = 4ft

Area of the segment = 90°/360° × π4² - 1/2 × 4² × sin90°

Area of the segment = 1/4 × π × 4 × 4 - 1/2 × 4 × 4 × 1 {sin90° = 1}

Area of the segment = 4π × 8

Area of the segment = 4.5714

Therefore, the exact area of the shaded region that is the segment of the circle is equal to 4.6 ft² to the nearest tenth

Know more about area here: https://brainly.com/question/2999620

#SPJ1

Answer:

X=7

Y=6

Step-by-step explanation:

Divide the 1st equation by 2.

2x+3y=32

2x-y=8

When you subtract those 2 numbers, you get that 4y=24.

Y=6

32-6*3=14=2x

X=7

The antiderivative of sin is -cos(x) + C.

The antiderivative of a function is the inverse operation of differentiation which is is also known as its indefinite integral.

So, the integral of sin

                 ∫sin(x) = -cos(x) + C

where C = constant of integration.

This can be verified by differentiating -cos(x) + C with respect to x, which gives sin(x).

Learn more about indefinite integral from the below link:

https://brainly.com/question/28036871

#SPJ4

Option A. Never. A correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

However, a strong correlation between two variables does not necessarily mean that one causes the other. This is because there may be other factors, known as confounding variables, that affect both variables simultaneously. Therefore, it is not appropriate to use a correlation coefficient to establish a causal relationship between two variables. In order to establish causality, more rigorous methods such as randomized controlled trials must be used, which attempt to isolate the effect of one variable on another while holding other factors constant.

Learn more about correlation coefficient here: brainly.com/question/15577278

#SPJ4

The measures of the angles of the triangle are:

Angle 1: −3 degrees
Angle 2: 10 degrees
Angle 3: −14 degrees

To solve for g and find the measures of the angles of the triangle, we need to use the fact that the sum of the angles in a triangle is 180 degrees. This means that:

−3 + (2+8) + (3−17) = 180

Simplifying the equation, we get:

−3 + 10 + (−14) = 180

−7 = 180

To solve for g, we need to isolate it on one side of the equation. To do this, we can add 7 to both sides of the equation:

g = 180 + 7

g = 187

Now, we can plug g back into the original equation to find the measures of the angles:

−3 + (2+8) + (3−17) = 187

−3 + 10 + (−14) = 187

−7 = 187

Therefore, the measures of the angles of the triangle are:

Angle 1: −3 degrees
Angle 2: 10 degrees
Angle 3: −14 degrees

I hope this helps! Let me know if you have any further questions.

Learn more about measures of the angles here: https://brainly.com/question/25716982

#SPJ11

A graph of the relationship modeled by the equation is shown in the image attached below.

If the graph continues, the point (28, 24) will not be on the graph.

The height of a picture when the total height of the picture with the frame is 38.5 cm would be 34.5 cm.

In this scenario, the total height of a picture in its frame (in centimeters) would be plotted on the y-axis of the graph while the height of the picture (in centimeters) would be plotted on the x-axis of the graph.

Based on the ordered pair (28, 24), we would determine if it lies on the graph of the equation:

y = x + 4

24 = 28 + 4

24 = 32 (False).

When the total height of the picture with the frame is 38.5 cm, the height of a picture can be calculated as follows;

y = x + 4

38.5 = x + 4

x = 38.5 - 4

x = 34.5 cm.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Complete Question:

The equation y = x + 4 models the total height of a picture in its frame, y, in centimeters with respect to the height of the picture, x, in centimeters.

a. Graph the relationship modeled by the equation. Be sure to label the axes.

b. If the graph continues, will the point (28, 24) be on the graph?

c. Determine the height of a picture when the total height of the picture with the frame is 38.5 cm.

The correct answer is option B and it is equal to 30% of 81 because it shows 0.30 x 81.

We have to find that how much is equal to the 30% of 81.

We can use the percentage formula here and that is,

%age = Obtained value/total value x 100

Here in this case, we have to find the obtained value and the total value is 81 and the percentage that we are going to get  is equal to 30.

So, putting all the values, we get,

obtained value = 30 x 81/100

obtained value = 0.30 x 81

Hence, the value 0.30 x 81 is equal to 30 % of 81. hence option B is the correct answer.

To know more about percentage, visit,

https://brainly.com/question/24877689

#SPJ4

Complete question - Which of the following options have the same value as 30% of 81?

A. 0.03 x 81

B. 0.3 x 81

C. 0.03 x 81

D. 3 x 81

Answer:

Step-by-step explanation:

The statement is false, the perimeter of the trapezoid shown is 23 units

To find the perimeter of a trapezoid, you need to add the lengths of all four sides of the trapezoid.

A trapezoid is a four-sided figure with two parallel sides (the bases) of different lengths. The other two sides are called the legs.

The formula for the perimeter of a trapezoid is:

Perimeter = sum of all sides = base1 + base2 + leg1 + leg2

where base1 and base2 are the lengths of the parallel sides and leg1 and leg2 are the lengths of the non-parallel sides.

So, to find the perimeter of a trapezoid, you need to measure or know the length of all four sides and then add them up using the formula above.

Read more about trapezoids here:

https://brainly.com/question/1463152

#SPJ1

Use the trapezoid shown to mark each statement below as true or false. if false, please rewrite the statement correctly in the space below the statement!

Q: The perimeter of the trapezoid shown is 22 units.

True false?

After all these transformations, point A' will lie on the left side of the y-axis with the same y-coordinate as A, and point A''' will lie on the right side of the y-axis with the same x-coordinate as A.

What is parallelogram ?

A parallelogram is a quadrilateral with two pairs of parallel sides.

If parallelogram ABCD is reflected over the y-axis, all the x-coordinates of the vertices will change sign while the y-coordinates remain the same. This means that A will be reflected to a point A' on the left side of the y-axis with the same y-coordinate as A.

If the reflected parallelogram is then reflected over the x-axis, all the y-coordinates of the vertices will change sign while the x-coordinates remain the same. This means that A' will be reflected to a point A'' below the x-axis with the same x-coordinate as A'.

Finally, if the reflected and flipped parallelogram is rotated 180 degrees, all points will be reflected over the origin. This means that A'' will be reflected to a point A''' on the right side of the y-axis with the same x-coordinate as A'' (which is the same as A).

Therefore, after all these transformations, point A' will lie on the left side of the y-axis with the same y-coordinate as A, and point A''' will lie on the right side of the y-axis with the same x-coordinate as A.

To learn more about Parallelogram from given link.

https://brainly.com/question/29147156

#SPJ1

The school building is 36ft tall.

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Chris is 6 feet tall and he casts a shadow that is 5 feet long

He measures that the shadow cast by the school building is 30 feet long

We can say the ratios will be same  6/h = 5/30

h =6 × 6 = 36 ft

Hence the school building is 36ft tall.

Learn more about Pythagoras' theorem, by the following link

https://brainly.com/question/231802

#SPJ1

The following statements are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

What is a line segment?

A line segment is a section of a straight line that is enclosed by two clearly defined endpoints and contains every point on the line located within. The Euclidean distance between two ends of a line segment determines its length.

Here, we have

Given: Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.

A) Line AB and Line CG are parallel: As both lines, AB and CG lie in plane X. Thus both are parallel and option A is the correct option.

B) Line AB and Line RS are parallel: As a line, AB lies in plane X and line RS lies in plane Y. Thus both are perpendicular and not parallel. Option B is the incorrect option.

C)Line CG and Line RS are perpendiculars: As line CG lies in plane x and line RS lies in plane Y. Thus both are perpendicular. Option C is the correct option.

D) Line AB and Line RS must intersect: line RS passes from the middle of plane Y and line AB passes from the left of plane X center. Thus they do not intersect each other. Option D is the incorrect option.

E) Line segment CG lies in plane X: As shown in the diagram, line CG lies in plane X. Thus option E is the correct option.

F) Line segment RS lies in plane X: As shown in the diagram, and the line lies RS in plane Y. Thus option F is the incorrect option.

Hence, The following statements are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

To learn more about the line segment from the given link

https://brainly.com/question/280216

#SPJ1

Therefore , the solution of the given problem of area comes out to be

a new bedroom door would cost $142.52 in total.

Its surface area serves as a fair guide of its total size. The environment is considered when calculating the right triangle squared. Everything's overall size is determined by its surface area. The volume of water inside a cuboid is equal to the sum of the contents from each of its twelve vertical sides. To determine the box's dimensions, use the formula below: 2lh, 2lw, and 2hW symbolise the area (SA). The full surface area of the flexible shape serves as the area's representation.

Here,

The area of the door is:

Area = height x width

Area = 7 ft x 4 ft

Area = 28 sq ft

The cost per square foot is $5.09, so the total cost of the new door would be:

Cost = Area x cost per square foot

Cost = 28 sq ft x $5.09/sq ft

Cost = $142.52

Therefore, a new bedroom door would cost $142.52 in total.

To know more about surface area visit:

https://brainly.com/question/2835293

#SPJ1

The manager's claim that the new stadium can seat exactly 45% more people than previously is not correct. Instead, the new stadium can accommodate 145% of the previous number of seats, which is an increase of 45% over the original capacity

If a football club increases the number of seats in its stadium by 45%, it means that the new stadium can accommodate 145% of the previous number of seats.

Suppose the previous capacity of the stadium was x seats. Then, the new capacity of the stadium can be calculated by multiplying the previous capacity by 1.45 (which represents the 45% increase in capacity):

New capacity = x × 1.45 = 1.45x

However, the manager of the club claims that the new capacity of the stadium is exactly 45% more than the previous capacity, which means that the new capacity should be:

New capacity = x + (0.45x) = 1.45x

This equation suggests that the increase in capacity is not 45%, but rather an increase of the original capacity by 45%. This is not the same as the increase of 45% over the original capacity.

Therefore, the manager's claim that the new stadium can seat exactly 45% more people than previously is not correct. Instead, the new stadium can accommodate 145% of the previous number of seats, which is an increase of 45% over the original capacity.

Find out more about Capacity

brainly.com/question/15737800

#SPJ4

This equation can be used to predict the balance of the savings account after t years.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


We can graph the data in a line graph to visualize the relationship between the two variables. The graph will have time (t) represented on the x-axis and the balance of the savings account (m) represented on the y-axis. The graph will demonstrate that the total balance of the two accounts increases over time.

The equation that models this data can be found by using the slope-intercept form, y = mx + b. Here, y represents the balance of the savings account (m), x represents the time (t), m is the slope of the line, and b is the y-intercept. To find the equation, we can first find the slope, which is the change in y divided by the change in x. This is (2,800 - 500) / (3 - 0) = 2,300 / 3 = 766.67. The y-intercept is the balance of the savings account when t = 0, which is 500. We can now write the equation as m = 766.67x + 500. This equation can be used to predict the balance of the savings account after t years.

To know more about equation click-
https://brainly.com/question/26408808
#SPJ1

Answer:

1 fluid oz = 29.5735 milliliters

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

Therefore, for every 1 fluid ounce, it is equivalent to 29.5735 milliliters.

The true statements are: The Chinese Remainder Theorem guarantees a unique solution to any system of modular equations.

Fermat's Little Theorem allows us to conclude that ap^−1≡1(mod p) for any integer a and any prime p.

The first formula given in the question for computing x using CRT is also true.

Statement 3, "If b≥p, then a^b−p+1≡a^b (mod p)", is not necessarily true. Fermat's Little Theorem states that if p is prime and a is not divisible by p, then a^(p-1) ≡ 1 (mod p). However, this does not extend to arbitrary exponents b.

Statement 4, "If b ≡ c (mod p), then a^b≡a^c (mod p)" is true by Fermat's Little Theorem, which implies that a^(p-1) ≡ 1 (mod p), we can write b = kp + c for some integer k, then

a^b = a^(kp+c) = (a^p)^k * a^c ≡ a^c (mod p)

since a^p ≡ a^(p-1) * a ≡ 1 * a ≡ a (mod p) by Fermat's Little Theorem.

To know more about remainder :-

brainly.com/question/30302805

#SPJ4

In a recent year, Saudi Arabia produced 8.2 million barrels of crude oil per day, compared to 6.4 million barrels per day for the United States. This was 28% more than what the United States produced.

Saudi Arabia now consumes 1.8 million more barrels of crude oil per day than the United States does. Crude Oil from Saudi Arabia: In January 2023, production was reported at 10,319,000 barrels per day, down from 10,475,000 barrels per day in the previous year.

In November 2022, crude oil production in Saudi Arabia was 10,468 thousand barrels per day, down from 10,957 thousand barrels per day the year before.

Learn more about Percentage:

https://brainly.com/question/24877689

#SPJ4

Alternate interior angles - Congruent

Corresponding angles - Neither

Same side interior angles - Supplementary

Alternate angles are a type of angle formed when a straight line intersects two parallel lines. When this happens, alternate angles are formed on opposite sides of the transversal (the line that intersects the parallel lines).

Alternate angles are also known as "alternate interior angles" because they are located inside the parallel lines, but on opposite sides of the transversal. They are called "alternate" because they are located on opposite sides of the transversal and they are congruent, meaning they have the same angle measure.

Learn more about angles:https://brainly.com/question/28451077

#SPJ1

The formula for calculating the z-score is z = (x-μ)/σ.

where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula suggests, the Z-score is simply the raw score minus the population mean divided by the population standard deviation.

A positive Z-score indicates that the raw score is higher than the average. For example, a z-score of +1 is one standard deviation above the mean.

A negative z-score indicates that the raw score is below average. For example, a Z-score of -2 is two standard deviations below the mean.

Another way to interpret z-scores is to create a standard normal distribution (also known as the z-score distribution or probability distribution).

know more about z-score click here;

https://brainly.com/question/15016913

#SPJ4