Find using appropriate Properties:
6/7 x -2/3 + 3/5 + 5/8 x -6/7

The maximum expected increase in exam score if a student studies an extra 3 hours is 4.11 points.

Since we have a 99% confidence interval, we can assume a t-distribution with 31 degrees of freedom (n-1). Using this distribution, we can find the margin of error (E) for the mean difference in exam score (µD) between students who study for an extra 3 hours and those who do not.

E = t* (s/√n), where s is the sample standard deviation and n is the sample size.

We don't have the standard deviation, but we can estimate it using the range rule of thumb, which states that the standard deviation is approximately equal to the range of the data divided by 4.

s ≈ (6.96 - 3.59) / 4 = 0.8425

Using a t-value for a 99% confidence interval and 31 degrees of freedom, we have:

t = 2.750

E = 2.750 * (0.8425/√32) ≈ 0.929

So the 99% confidence interval for the true mean difference in exam score is (3.59 - 0.929, 6.96 + 0.929) = (2.66, 7.89).

To find the maximum expected increase in exam score if a student studies an extra 3 hours, we can subtract the mean difference in exam score from the previous 32 students from the mean difference in exam score between students who study for an extra 3 hours and those who do not.

Mean difference in exam score = (6.96 - 3.59) / 32 = 0.104

Max expected increase in exam score = 0.104 + 3 = 4.11

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Answer:

\( \frac{1}{2} 3 \\ \)

Step-by-step explanation:

Your welcome

Answer:

  0

Step-by-step explanation:

Apparently, you want the value of ...

  \(\dfrac{1}{3}m-1-\dfrac{1}{2}n = \dfrac{m}{3}-\dfrac{n}{2}-1\\\\=\dfrac{21}{3}-\dfrac{12}{2}-1=7-6-1\\\\=\boxed{0}\)

The value of the given expression for the given variable values is zero.

The equation of the given parabola fits the form (y−k)²=4c(x−h).

The question specifically asks for the form of the equation that fits the given parabola. Based on the provided options A and B, the equation (y−k)²=4c(x−h) matches the form required.

The parameters h, k, and c in the equation represent the vertex coordinates (h, k) and the focal length. To find the specific values of h, k, and c, further analysis and calculations are needed using the information given in the question, such as the distances between the vertex, focus, and directrix.

These calculations would allow for the determination of the exact equation and the sketching of the parabola.

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Answer: It will take Johny 28 minutes to type a 2,100 word essay.

Step-by-step explanation:

600 words per 8 minutes. (6 * 3.5 = 21) 8 times 3.5 equals 28 minutes.

Work Shown:

(600 words)/(8 minutes) = (2100 words)/(x minutes)

600/8 = 2100/x

75 = 2100/x

75x = 2100

x = 2100/75

x = 28

Answer:

11 I think

Step-by-step explanation:

Answer:

Final Price Including Tax ($):  

129

Sale Tax($):  

9

Step-by-step explanation:

Hope this helps? :))

Final Price Including Tax ($):  129

Sale Tax($): 9

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that, 7% tax on $120 purchase.​

i.e. tax = 120* 7%

           = 8.4 = 9

so. Final Price Including Tax ($):  

=120 +9

=129

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Answer:

12

Step-by-step explanation:

i just divided 72 by the number of faces a number cube has

Answer:

I think thé answer is C 0 contadict me if it is dring please

Option D is correct, 6 is the value of the range in the given graph.

A relation is a function if it has only One y-value for each x-value.

We have to find the  values are in the range of the function graphed below

The domain of the given graph is -2≤x≤4

What can go into a function is called the Domain.

What may possibly come out of a function is called the Codomain.

What actually comes out of a function is called the Range.

The range of the given graph is y values.

The y value is 6

Hence, 6 is the value of the range in the given graph.

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Answer:

Step-by-step explanation:

Given :

Salary in 2016 = 1750

Pay rise in 2017 = 2%

Monthly salary = (1 + 2%) of 175= 1.02 * 1750 = 1785

Hours worked per week = 45 hours

Number of weeks = 48 weeks

The total hours worked for the year :

(48 * 45) = 2160 hours

Average pay per hour for the year ;

(Average Salary earned over 12 months) /total number of hours worked for the year

(1785 * 12) / 2160

= 21420 / 2160

= 9.9166 per hour

= $9.92 per hoj

Answer:

\(\frac{62}{99}\)

Step-by-step explanation:

We require 2 equations with the repeated digits placed after the decimal point.

let x = 0.6262..... (1) Multiply both sides by 100

100x = 62.6262.... (2)

Subtract (1) from (2) thus eliminating the repeated digits

99x = 62 ( divide both sides by 99 )

x = \(\frac{62}{99}\)

Then 0.6262... = \(\frac{62}{99}\)

Answer:

Yes.

Step-by-step explanation:

Straight lines can be linear

i hope this helps :)

Answer:

30 pounds in 480 ounces.

Step-by-step explanation:

16 ounces = 1 pound.

480 ounces divided by 16 = 30 pounds

Answer:

30 pounds. 480 ounces

30 pounds

divide the mass value by 16

Answer:

where’s the triangles?

Answer:

i will

Step-by-step explanation:

thanks

Answer:

dam you cant help me with my subjects

Step-by-step explanation:

If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.

It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.

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Answer:

Answer:

joe mama

Step-by-step explanation:

We need specific subsets (denoted by "s") within the group of upper triangular real matrices (denoted by "g") to determine whether they are subgroups and normal subgroups. Additionally, if a subset is a normal subgroup, we can identify the quotient group (denoted by "g/s").

To determine if a subset "s" is a subgroup, it must satisfy two conditions: closure under matrix multiplication and inverse existence. If all matrices in "s" multiplied together yield another matrix in "s," and if the inverse of each matrix in "s" is also in "s," then "s" is a subgroup of "g."

On the other hand, to determine if a subgroup "s" is a normal subgroup, we need to check if it is invariant under conjugation. That is, for any matrix "h" in "g" and any matrix "s" in "s," the conjugate of "s" by "h" (i.e., \(hsh^(-1))\)is also in "s." If this condition holds, "s" is a normal subgroup.

If "s" is indeed a normal subgroup, the quotient group "g/s" is formed by taking the left cosets of "s" in "g." Each coset represents a distinct equivalence class of matrices in "g" that differ by an element of "s." The quotient group "g/s" can be used to study the structure and properties of the group "g" after factoring out the normal subgroup "s."

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Answer:

Step-by-step explanation:

8

We can use the formula for the volume of a cone to solve for the radius of the cone, and then use the Pythagorean theorem to find the slant height.

The formula for the volume of a cone is:

V = (1/3)πr^2h

Substituting the given values, we get:

28.2 = (1/3)(3.14)r^2(2)

Simplifying and solving for r, we get:

r^2 = (28.2 / 3.14) / (2/3.14) = 4.5

r ≈ 2.12 (rounded to two decimal places)

Now, we can use the Pythagorean theorem to find the slant height (l):

l^2 = r^2 + h^2

l^2 = 2.12^2 + 2^2

l^2 ≈ 8.5

l ≈ 2.92 (rounded to two decimal places)

Therefore, the approximate slant height of the cone is 2.92 feet.

Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

An explanation of how to partition a polygon into triangles.

To partition a polygon into triangles, you can draw diagonals from one vertex to the non-adjacent vertices. This will divide the polygon into smaller triangles. The number of diagonals you need to draw depends on the number of sides the polygon has.

For example, if the polygon has 4 sides (a quadrilateral), you can draw 2 diagonals to partition it into 2 triangles. If the polygon has 5 sides, you can draw 3 diagonals to partition it into 3 triangles, and so on.

Once you have divided the polygon into triangles, you can find the area of each triangle using the formula for the area of a triangle (base x height divided by 2) and add the areas of all the triangles to find the total area of the polygon.

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Area of a Polygon

In this unit, you learned about finding the area of triangles and rectangles using coordinates. But there are many more shapes than just triangles and rectangles, and these shapes often can be relatively complex. You can still find properties of such polygons by dividing them into an arrangement of simpler shapes—polygons that you’re familiar with.

When a two-dimensional figure is composed of smaller figures, its area is equal to the sum of the areas of the smaller figures. When finding the area of a polygon, it is helpful to know that any polygon can be partitioned into a series of triangles.

You will use GeoGebra to partition a polygon into a set of triangles. Go to partitioning a polygon, and complete each step below.

Part A

Draw line segments to partition the given polygons into triangles. There is more than one correct answer. Take a screenshot of your construction, save it, and insert the image in the space below.

Answer:

-897

Step-by-step explanation:

Answer:

Sorry I have no clue but you could use this

Step-by-step explanation:

this might help you, search that up Math,Way no comma though

As you said, we will solve for x by using substitution.

\(y = -3x - 17\\-x + 5y = -5\\\\-x + 5(-3x - 17) = -5\\\\-x - 15x - 85 = -5\\\\-16x - 85 = -5\\\\-16x = 80\\\\x = -5\)

Using what we found for x, we plug it into one of the original equations to solve for y. I chose the second equation.

\(-(-5) + 5y = -5\\\\5 + 5y = -5\\\\5y = -10\\\\y = -2\)

Now, we can create the solution to this system.

A: \((-5, -2)\)

The surface area of the cylinders are 565.2 square yards and  395.64 square cm

The formula for calculating the surface area of a cylinder is expressed as:

S = 2πr(r+h)

where

r is the radius

h is the height

1) Given that r = 6yd and h = 9yd

S = 2(3.14)6(6+9)

S = 565.2 square yd

Hence the surface area of the cylinder is 565.2 square yards

2) Given that r = 3cm and h = 18cm

S = 2(3.14)3(3+18)

S = 395.64 square cm

Hence the surface area of the cylinder is 395.64 square cm

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Answer:

B- 20 yards

Step-by-step explanation:

First you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. Next you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.

Answer:

20

you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards.  you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.

Answer:

$357.5

Step-by-step explanation:

Answer:

347.50

Step-by-step explanation:

you have to put the 0 at the end i didnt and got it wrong.

Answer:

a. 5 ones

b.8 hundreds

c.9 thousandths

d.1 tenths

e. 7 hundreths

f. 1 millions

hope that helps you

The volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 25 is approximately 26.76 cubic units.

To find the volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 25, we can use the method of cylindrical shells.

By integrating the height of each shell over the interval that intersects both the cylinder and the sphere, we can determine the volume of the overlapping region.

The given cylinder x² + y² = 1 is a circular cylinder with radius 1, centered at the origin in the xy-plane. The sphere x² + y² + z² = 25 is a sphere with radius 5, centered at the origin.

To find the volume of the overlapping region, we can consider the cylindrical shells that make up the solid. Each shell has a height given by the z-coordinate, and its radius varies as we move along the cylinder.

By integrating the height of each shell over the interval that intersects both the cylinder and the sphere (from -1 to 1), we can calculate the volume. The integral of the square root of (25 - x² - y²) with respect to x and y will give us the volume of each shell.

Performing the integration and evaluating the resulting expression will provide us with the volume of the solid that lies inside both the cylinder and the sphere.

After carrying out the necessary calculations, the volume of the overlapping region is approximately 26.76 cubic units.

Therefore, the volume of the solid that lies inside both the cylinder x² + y² = 1 and the sphere x² + y² + z² = 25 is approximately 26.76 cubic units.

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The problem is to find the volume of intersection of a cylinder and sphere. The sphere completely surrounds the cylinder, therefore the volume of their intersection is the volume of the cylinder, calculated as πr²h = π * 1 * sqrt(24).

In this problem, the volumes of a cylinder and a sphere are to be found where the sphere encloses the cylinder. They intersect when x² + y² = 1 is equal to x² + y² + z² = 25. Hence, z² = 25 - 1, so z² = 24.

To start, the volume of the sphere would be 4/3</strong>πr³ = 4/3 * π * 25^(3/2), and the volume of the cylinder would be πr²h = π * 1 * sqrt(24). The volume of their intersection would simply be the smaller volume (i.e., volume of the cylinder) because the cylinder is wholly inside the sphere.

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