a container holds 4/5 liter of water. during the hike, jada drank 2/3 of the water. how much water did jada drink?

Increasing the distance of scores from the mean of the data set will always increase variance in all t-test calculations, the correct option is (b).

The Variance is defined as measure of how spread out data points are from mean of data set. The larger the variance, the more spread out data points are, and more variable the data is.

In a "t-test", variance is used to calculate the standard error of mean,

Increasing the distance of scores from the mean of data set increases the variability of data, which in turn increases the variance in t-test calculations because variance is calculated by taking average of squared differences between each data point and mean of data set.

Therefore, the correct option is (b).

Learn more about t-test here

https://brainly.com/question/30006011

#SPJ4

The given question is incomplete, the complete question is

What will always increase variance in all t-test calculations?

(a) all the x value scores are large numbers

(b) increasing the distance of scores from the mean of the data set

(c) increasing the effect on the dependent variable

(d) larger sample sizes

Drawing an altitude and computing the side lengths of the resulting half triangle for an equilateral and isosceles triangle, would give the trigonometric functions for multiples of 30 and 45 respectively.

In a 30°-60°-90° right triangle, the longer leg is \(\sqrt{3}\) times longer than the shorter leg, and the hypotenuse is twice as long. In a 45°-45°-90° right triangle, sides opposite to the equal angles (45°) are equal and the hypotenuse is \(\sqrt{2}\) times the other sides.

To find the trigonometric functions of multiples of 30°, first consider a equilateral triangle of, say, side-length 2. Draw an altitude for the triangle. Each of the half triangle are 30°-60°-90° right triangle. Clearly the base will be divided into 2 equal parts of length 1 each. Now using Pythagorean Theorem on one of the 30°-60°-90° right triangle, trigonometric functions for multiples of 30° could be obtained.

Draw x and y axis. Now take a length of , say , 2 in the x-axis and using a compass pointed at origin and mark the point on y axis with a length 2. Now join these points on x and y axis. A 45°-45°-90° isosceles right triangle with side-length 2 is obtained. Now using Pythagorean Theorem, trigonometric functions for multiples of 45° could be obtained.

To learn more about greatest right angled triangles visit the below link,

https://brainly.com/question/14729820

#SPJ4

Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.- Numbers between 0 and 1: 1.9 × 10^⁻¹.- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

The given numbers can be classified according to their values into three categories:

numbers greater than 1, numbers between 0 and 1, and numbers less than 1.


1. Numbers greater than 1:
- 3.2 × 10⁵:

This number is in scientific notation, where 10⁵ means multiplying the number by 10 five times.

So, 3.2 × 10⁵ = 3.2 × 100,000 = 320,000.
- 2.2 × 10³: Similarly, 2.2 × 10³ = 2.2 × 1,000 = 2,200.
- 2.4 × 10³: This number is the same as the previous one, so it also belongs to the category of numbers greater than 1.
- 2.5 × 10⁴: Similar to the previous numbers, 2.5 × 10⁴ = 2.5 × 10,000 = 25,000.

2. Numbers between 0 and 1:
- 1.9 × 10⁻¹ : Here, 10⁻¹ means dividing the number by 10 once. So, 1.9 × 10⁻¹ = 1.9 ÷ 10 = 0.19.

3. Numbers less than 1:
- 5.9 × 10²: This number is between 1 and 10, so it belongs to the category of numbers less than 1.
- 6.1 × 10¹: Similarly, 6.1 × 10^1 = 6.1 × 10 = 61.


- Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.
- Numbers between 0 and 1: 1.9 × 10^⁻¹.
- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

To know more about scientific notation visit:

https://brainly.com/question/16936662

#SPJ11

Answer:

(2*(x^3-2x^2+2))/(x^2)

Answer:

\( \sqrt{125 {p}^{2} } = p \sqrt{25} \sqrt{5} = 5p \sqrt{5} \)

D is the correct answer.

The distance between the two planes can be represented by the diagram in which Plane A is flying towards the southwest and Plane B is flying towards the northeast.

To determine the distance between the planes, we can break down the velocities of the planes into their north-south and east-west components.

Plane A is traveling in the direction S 20° W. This means that its velocity has two components: a southward component and a westward component. We can find these components using trigonometry. The southward component can be calculated as 600 mph * sin(20°), and the westward component is 600 mph * cos(20°).

Similarly, Plane B is traveling in the direction N 35° E. Its velocity can be broken down into a northward component and an eastward component. The northward component is 450 mph * cos(35°), and the eastward component is 450 mph * sin(35°).

Now, we have the components of the velocities for both planes. To find the distance between them, we can use the Pythagorean theorem. The distance between the planes, x, is given by the equation x^2 = (Plane A's north-south component - Plane B's north-south component)^2 + (Plane A's east-west component - Plane B's east-west component)^2.

Based on these calculations, the diagram that represents the distance, x, between the planes is the one in which Plane A is flying towards the southwest and Plane B is flying towards the northeast.

Learn more about distance here:

https://brainly.com/question/32774091

#SPJ11

Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is B.

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment.

Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

\(x = \dfrac{p+m}{2}\)

and

\(y = \dfrac{q+n}{2}\)

Given the two endpoint coordinates of the line AB, which are A(-4,2) and B(1,-4). Therefore, the coordinates of the midpoint of the line are:

\(x = \dfrac{-4+1}{2} =-\dfrac{3}{2}\)

and

\(y = \dfrac{2-4}{2} = -1\)

Hence, the correct option is B.

Learn more about Midpoint:

https://brainly.com/question/5127660

#SPJ1

Answer: X = -4

Step-by-step explanation:

Well, we are given two functions. We know that both of these functions are to be having the same value (they are both f(x) equations).

Therefore, we can create this equation:

6x = -24

We divide both sides by x to get:

x = -4

Answer:

yes because 100 - 50 is 50

Answer:

3 hours 8 seconds

Step-by-step explanation:

Juan and Andrés are older adults and marathoners. Today they participated in the international marathon of the Andes. The announcer who covers this sporting event reported that Juan had finished the race with a time of 3¾ hours. Tijuanito the route in ⅔ of hours more than Andrés, how long did Andrés finish the marathon ?.

It is given that,

Juan had finished the race with a time of 3¾ hours.

He takes ⅔ of hours more than Andrés.

We need to find how long did Andrés finish the marathon.

Time taken by Juan = \(\dfrac{15}{4}\) hours

Time taken by Tijuanito is \(\dfrac{2}{3}\) hours more than Andrés.

So, Andrés finish the marathon \(\dfrac{15}{4}-\dfrac{2}{3}=3.08\ \text{hours}\) before.

Any convex polygon can be triangulated by drawing additional lines to split it into triangles.

A convex polygon is a polygon in which all interior angles are less than 180 degrees. To prove that any convex polygon can be triangulated, we can use the ear-clipping algorithm. The algorithm works by iteratively removing "ears" from the polygon until only triangles remain.

In the first step, we identify any triangle in the polygon. Since the polygon is convex, there will always be at least one triangle formed by three consecutive vertices. We remove this triangle by drawing its three sides and update the polygon by removing the interior points of the triangle.

In each subsequent step, we find an "ear" of the updated polygon. An ear is a vertex that, when connected with its adjacent vertices, forms a triangle that does not contain any other vertex of the polygon in its interior. We remove this ear by drawing its sides and updating the polygon.

We repeat these steps until no ears are left, which means the polygon has been completely triangulated. The resulting triangulation will consist of non-overlapping triangles that cover the entire polygon. Therefore, any convex polygon can be triangulated by drawing additional lines.

Learn more about convex here:

https://brainly.com/question/30340321

#SPJ11

The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

To know more about volume follow

https://brainly.com/question/22716418

#SPJ1

Answer:

D

Step-by-step explanation:

thank uu

Answer:

the yellow answer is false; second answer

Step-by-step explanation:

Therefore, the cylinders arranged in order from least volume to greatest volume are:

Cylinder with diameter 28 units and height 18 units

Cylinder with radius 13 units and height 17 units

Cylinder with radius 12 units and height 20 units

Cylinder with diameter 30 units and height 14 units

Volume is the measure of the amount of space occupied by a three-dimensional object. It is typically measured in cubic units, such as cubic meters or cubic feet. The formula for finding the volume of a solid depends on the shape of the object. For example, the volume of a cube can be found by multiplying the length, width, and height of the cube, while the volume of a sphere can be found using the formula (4/3)πr³, where r is the radius of the sphere.

Here,

To compare the volumes of the given cylinders, we need to use the formula for the volume of a cylinder, which is V = πr²h, where r is the radius of the circular base and h is the height of the cylinder. Let's calculate the volumes of the given cylinders:

Cylinder with diameter 28 units and height 18 units:

radius = 14 units

volume = π(14²)(18)

= 8,365.98 cubic units

Cylinder with radius 13 units and height 17 units:

volume = π(13²)(17)

= 8,724.68 cubic units

Cylinder with diameter 30 units and height 14 units:

radius = 15 units

volume = π(15²)(14)

= 9,420.98 cubic units

Cylinder with radius 12 units and height 20 units:

volume = π(12²)(20)

= 9,014.47 cubic units

To know more about volume,

https://brainly.com/question/28338582

#SPJ1

Answer:false

Step-by-step explanation:

Answer:

i wish i could tell you

Step-by-step explanation:

Answer: its sixty-nine

Step-by-step explanation:its my lucky number

The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

What is the discriminant of a polynomial?

The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.

It is represented as ‘D’

D = b² - 4ac

Where,

a is the coefficient of x²

b is the coefficient of x

c is a constant term

x² + 5x + 4 = 0

We have given:

x² + 5x + 4 = 0

Comparing the equation with the standard form.

a = 1, b = 5 and c = 4

Substituting it in the formula

D = 5² - 4 × 1 + 4

By further calculation

D = 25 - 16

D = 9,

The quadratic roots are real and distinct

Therefore, the value of b² - 4ac is 9.

Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

To learn more about the discriminant of a polynomial visit,

https://brainly.com/question/272234

#SPJ4

Given -

-4x + 5y = -2

To Find -

Value of x and y

Step-by-Step Explanation -

At x = 0

-4(o) + 5y = -2

y = -2/5

At y = 0

-4(x) + 5(0) = -2

-4x = -2

x = 1/2

Final Answer -

Graph:

The method of documentation that describes the setting up of squares of known dimension over the entire pattern is known as grid method.

Grid method is a method of documentation that involves the setting up of squares of known dimensions over the entire pattern to document a site. This method is commonly used in archaeological surveys and historical preservation.

Therefore, grid method is a simple and effective way of recording data, and it is still widely used in the field of archaeology today.

To know more about grid method refer here:

https://brainly.com/question/12992243

#SPJ11

The angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

To find the angle between two vectors, we can use the dot product formula and the magnitude of the vectors. The dot product of two vectors u and v is given by:

u · v = |u| |v| cos(theta)

where |u| and |v| are the magnitudes of vectors u and v, respectively, and theta is the angle between the vectors.

Given vectors u = <6, 4> and v = <7, 5>, we can calculate their magnitudes as follows:

|u| = sqrt(6^2 + 4^2) = sqrt(36 + 16) = sqrt(52) ≈ 7.21

|v| = sqrt(7^2 + 5^2) = sqrt(49 + 25) = sqrt(74) ≈ 8.60

Next, we calculate the dot product of u and v:

u · v = (6)(7) + (4)(5) = 42 + 20 = 62

Now, we can substitute the values into the dot product formula:

62 = (7.21)(8.60) cos(theta)

Solving for cos(theta), we have:

cos(theta) = 62 / (7.21)(8.60) ≈ 1.061

To find theta, we take the inverse cosine (arccos) of 1.061:

theta ≈ arccos(1.061) ≈ 43.7 degrees

Therefore, the angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

Learn more about angle here:

brainly.com/question/13954458

#SPJ11

Answer: -3n + 18

Step-by-step explanation:

When examining the sequence, you can see that every time, it decreases by 3, therefore the first part of your rule should be:

-3n

(Extra note to wow your maths teacher! This is a linear sequence as it decreases/increases by the same amount each time.)

Next, you will need to find the number before the given sequence. As it decreases by 3 every time, to find the number before you need to increase by 3. Therefore, the next part you need is + 18.

Leave a comment if you don't understand anything :)

Answer:

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

Given sequence:

This is an AP, with the first term a = 15 and common difference of - 3, as it is decreasing by 3.

Use nth term equation for an AP:

Answer:

Here walking speed is 3.5 miles per hour

Step-by-step explanation:

Here, we want to calculate the average speed in miles per hour

mathematically, we know that;

speed = distance/time

from the question, the distance is 7/10 miles

The time is 1/5 hour

Thus we have;

Speed = 7/10 divided by 1/5

speed = 7/10 * 5/1 = 7/2 = 3.5 miles per hour

Answer:

92

Step-by-step explanation:

12 + [20(5 - k)]

Substitute the value.

12 + [20(5 - 1)]

Evaluate inside the parenthesis.

12 + [20(4)]

Multiply.

12 + 80

Add.

92

Step-by-step explanation:

this is the solution of your question

We can reject the null hypothesis at the 0.05 level and accept the alternative hypothesis.

A one-sided test will test using the full alpha to test whether the result is far enough in one direction. A two-sided test will split the alpha in half to test whether the result is too big or too small.

The null hypothesis is:

\(\mathit{H}_{0}: \mu= 2.5\)

The alternative hypothesis is:

\(\mathit{H}_{1}: \mu > 2.5\)

The z-score for a mean of 3 is:

\(z = (x- \mu)/ (\sigma/ \sqrt{n})) \\ = (3-2.5)/(1.8/\sqrt{n})) \\ = (.5)/(1.8/6)) \\ = (.5)/(.3)) \\ = 1.666666667\)

The z-score for the 0.05 significance level is 1.645, which is less than the mean of 3 z score of 1.67.

Hence, we can go ahead and reject the null hypothesis

Learn more about hypothesis:

https://brainly.com/question/29519577

#SPJ4

Answer:

8/12-1/5=7/15 reduce 8/12 to 2/3