You are interested in the average reading achievement test score of the currently enrolled students in Edison Elementary School. The average score of just Ms. Grady's class would be referred to as a:

Answer:

60y + 36

Step-by-step explanation:

distribute the 12 to the 5y and to the +3. multiply 12 and 5y which will give you 60y. do the same with 12 and the +3 which will give you +36. hope this helps! :)

To solve this question, we would use the formula of simple interest.

So the given data are

We would need to find the principal

Divide both sides by the coefficient of p

In order to make an interest of 2283 in 9 years, you would have to save $5073.33 now

-1/7 is real-rational

Answer:

18

Step-by-step explanation:

1/2 x 12 x 3

1 x 12 x 3/2 -divide all by 2

12 x 3/2 - simplify

36/2

answer: 18

The hypotenuse of the given right angle triangle is: 50 cm

What is hypotenuse?

In mathematics, the hypotenuse is the longest side of a right angle triangle. It is defined as the standard formula, which states that the square of the hypotenuse is equal to the square of their adjacent sides.

According to the question, to calculate the hypotenuse with the given parameters. First name all the three vertices.

AB = 30 cm; BC = 40 cm; AC = ?

Using standard hypotenuse formula, which states:

AB² + BC² = AC²

⇒ 30² + 40² = AC²

⇒ AC² = 900 + 1600 = 2500

⇒ AC = 50 cm

Hence, the hypotenuse of the given right angle triangle is: 50 cm

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Answer:

Graph 1 is not proportional

Graph 2 is proportional - y is 2 times x

Step-by-step explanation:

In graph 1, there is no x-y correlation

In graph 2, there is, when x=1, y=6

when x=2, y=12. Therefore, when x=3 y would equal 18.

Answer:

it will be the correct answer..

because

The median is the most informative measure of central tendency for skewed distributions or distributions with outliers. For example, the median is often used as a measure of central tendency for income distributions, which are generally highly skewed.

Answer:

The slope is 4.

Step-by-step explanation:

\(m = \frac{ - 10 - ( - 2))}{2 - 4} = \frac{ - 8}{ - 2} = 4\)

Answer:

1.35 goals per game

Step-by-step explanation:

Since you want to divide the number of goals throughout the number of games, you divide 54/40 and get 1.35

I dont know if this is correct, but I hope it helped!

Answer:

1.35 goals/game

Explanation:

The question is asking how many goals the team scored per game, on average. The team scored 54 goals across 40 games, giving an average of 1.35 goals per game (54/40). In other words, if the team scored 1.35 goals every game, they would have 54 points if they played 40 games.

After adding (-7) to each value in the given data set, the mean is 38.25, the median is 38, the mode does not exist, the range is 24, and the standard deviation is approximately 8.85.

To find the mean of the data set, add all the values together (49, 30, 34, 43, 31, 37, 25, 47) and divide the sum by the total number of values (8). The mean is the average value of the data set.

To determine the median, arrange the values in ascending order (25, 30, 31, 34, 37, 43, 47, 49) and find the middle value. In this case, the median is the average of the two middle values (34 and 37).

The mode refers to the value(s) that appear most frequently in the data set. In this case, there is no mode since no value appears more than once.

The range is calculated by subtracting the smallest value (25) from the largest value (49). Thus, the range is 24.

To calculate the standard deviation, subtract the mean from each value, square the differences, calculate the mean of those squared differences, and finally take the square root of the resulting value. This provides a measure of the dispersion or spread of the data around the mean.

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Thus, the volume of solid generated by revolving this region about the y-axis is given as:  54π/7. The correct option is c.

To sketch the region, we first plot the curves on the coordinate plane.

The curve x=3y^3 is a parabola that opens to the right and passes through the origin. The curve x=3 is a vertical line that intersects the parabola at y=∛(1/3).

The curve y=0 is just the x-axis.

Now, to find the volume of the solid generated by revolving this region about the y-axis, we use the method of cylindrical shells.

We integrate from y=0 to y=∛(1/3) because those are the limits of integration for the region we are revolving.

The radius of each cylindrical shell is just the value of x at that y-coordinate, which is x=3y^3. The height of each cylindrical shell is the length of the curve, which is just 3 (the length of the vertical line).

Thus, the volume is given by:

V = ∫0^(∛(1/3)) 2π(3y^3)(3) dy
V = 54π/7

Therefore, the correct option is (c) 54π/7.

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She must use 187.5 ounces of water and 62.5 ounces of salt solution for her experiment.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

The smallest equivalent fraction of the number is the form that is the simplest. How to find the most basic form: In the numerator and denominator, look for shared factors. Examine the fraction to see if one of the numbers is a prime number.

Say w= the amount of water in oz, then the 60% of the solution is 250 - w

Set up the equation:

Use distributive property first

0.60(250-w) = 0.15 x 250

Isolate to solve for w

150- 0.60w= 37.5

-0.60w= 37.5-150

0.60w= -112.5

w= 187.5 ounces

250-187.5= 62.5 ounces salt solution

Therefore, she must use 187.5 ounces of water and 62.5 ounces of salt solution for her experiment.

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Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

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Answer:

2,300

Step-by-step explanation:

into hundredths.

that means each fish is cut into 100 pieces.

so, there would be

23 × 100 = 2,300

pieces of fish.

Answer:

A, 2,300.

Step-by-step explanation:

hope this helps lol

We find that the probability of observing 33% or more adults with tattoos in a sample of 90 random adults is approximately 0.2717.

The binomial expansion is a formula that provides a way to expand a binomial expression raised to a positive integer power. A binomial expression is a polynomial with two terms, such as (a + b), and a positive integer power is an exponent that is a whole number greater than zero, such as (a + b)².

Using this formula, we can calculate the probability that X is greater than or equal to 30:

P(X ≥ 30) = Σ P(X = k) for k = 30 to 90

This summation can be quite tedious to calculate by hand, but it can be easily done using a calculator or a statistical software program. For example, using a calculator or a spreadsheet program, we can calculate:

P(X ≥ 30) = 1 - binomdist(29, 90, 0.31, true)

where binomdist is the binomial cumulative distribution function that calculates the probability of observing up to a certain number of successes in a given number of trials with a given probability of success. The argument true tells the function to calculate the cumulative probability for X being less than or equal to 29, so we subtract this value from 1 to get the probability of X being greater than or equal to 30.
Using this formula, we find that the probability of observing 33% or more adults with tattoos in a sample of 90 random adults is approximately 0.2717.

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Answer:

Ann's bakery

Step-by-step explanation:

450/3=150

560/4=140

Answer:

Native Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremonies

To find the general solution of the linear system y' = [2 2 -4; 2 -1 -2; 4 2 -6] y, we need to first find the eigenvectors and eigenvalues of the coefficient matrix A = [2 2 -4; 2 -1 -2; 4 2 -6].

Using the characteristic equation, we can find the eigenvalues:

det(A - λI) = 0

=> det([2-λ 2 -4; 2 -1-λ -2; 4 2 -6-λ]) = 0

=> (2-λ)[(-1-λ)(-6-λ) - 4] - 2[(-2)(-6-λ) - 8] + 4[2(-1-λ) - 4] = 0

=> λ^3 -  + 8λ - 4 = 0

=> (λ-1)(λ-2\()^2\) = 0

Thus, λ = 1, 2 (with multiplicity 2). For each eigenvalue, we need to find a corresponding eigenvector.

For λ = 1, we need to find the null space of the matrix (A - λI):

A - λI = [1 2 -4; 2 -2 -2; 4 2 -7]

=> R2 <- R2 - 2R1, R3 <- R3 - 4R1

[1 2 -4; 0 -6 6; 0 -6 9]

=> R3 <- R3 - R2

[1 2 -4; 0 -6 6; 0 0 3]

So, we have a basic eigenvector of the form [4,-2,1]^T. To obtain a linearly independent eigenvector, we use the method of generalized eigenvectors. We need to find a vector v such that (A - λI) v = u, where u is the basic eigenvector.

(A - λI) v = u

=> [1 2 -4; 2 -2 -2; 4 2 -7] v = [4; -2; 1]

=> R2 <- R2 - 2R1, R3 <- R3 - 4R1

[1 2 -4; 0 -6 6; 0 -6 9] v = [4; -2; 1]

=> R3 <- R3 - R2

[1 2 -4; 0 -6 6; 0 0 3] v = [4; -2; 1]

=> -6v2 + 6v3 = -2

=> 3v3 = 1

=> 2v2 - 4v3 = -2

=> v2 = 0

So, we have v = [0; 1/3; 2/3\(]^T\) as the second eigenvector corresponding to λ = 1.

For λ = 2, we need to find the null space of the matrix (A - λI):

A - λI = [0 2 -4; 2 -3 -2; 4 2 -8]

=> R1 <-> R2

[2 -3 -2; 0 2 -4; 4 2 -8]

=> R3 <- R3 - 2R1

[2 -3 -2; 0 2 -4; 0 8 -12]

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Answer:

If I am correct your answer is B.

I can't see pictures, so I'll do my best.

y= always stays the same.

To find the slope, or x, you have to start at the y-intercept, and find the number of units up, then right.

For example, y=4/3+6

4/3 is the slope because it goes up 4 units and right 3 units from the y-intercept.

6 is the y-intercept, which is the y-coordinate. It can also be graphed as (0,6).

---

hope it helps

To find q(z) and r(a) such that f(x) = g(x)g(x) + r(r), we need to factorize g(x) into its irreducible factors and divide f(x) by g(x).

The quotient q(z) will be the result of the division, and the remainder r(a) will be the remaining terms that cannot be divided evenly. We also need to ensure that r(a) is either 0 or has a degree less than the degree of g(x).

Given the functions f(x) = x+2+³+x+(3) and g(x) = x + ³+ [2]x² + [2] € Zs[r], we want to find q(z) and r(a) such that f(x) = g(x)g(x) + r(r).

First, we factorize g(x) into its irreducible factors. Without the explicit form of g(x), we cannot determine its factorization.

Next, we divide f(x) by g(x). The quotient q(z) will be the result of the division, and the remainder r(a) will be the terms that cannot be divided evenly.

To ensure that r(a) has either a degree of 0 or a degree less than the degree of g(x), we need to compare the degrees of r(a) and g(x).

Unfortunately, the given information does not provide sufficient details to determine the specific values of q(z) and r(a). Without the explicit form of g(x) and further information, we cannot proceed with the calculations.

Therefore, without additional information, we cannot provide a specific answer for q(z) and r(a) in this case.

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Answer:

A

Step-by-step explanation:

Sheri sells 10 tickets every two hours

We plug two hours into Tim's equation --> t=5(2)

t=10

So, in two hours, Tim sells 10 tickets

Answer:

170 cm²

Step-by-step explanation:

Height of Cylindrical container = 18 cm ; diameter of cylindrical container = 6 cm.

Hence, radius of cylindrical container = 6/2 = 3 cm

Rubber balls = 3 each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3 π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

Volume of 3 rubber balls = 3 * 113.04 = 339.12³

Take the difference to obtain answer :

Volume of cylinder - Volume of rubber ball

508.68 cm³ - 339.12³

= 169.56 cm²

170 cm² (nearest whole number

Answer:

B, C, and D are correct.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

multiply -75*3=225

sqrt that to get 15!

After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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The Yosemite bill was introduced in Congress 5 times before it was passed into law. The first time it was introduced was in 1864, and it took until 1890 for it to finally pass.

This tells us a few things about the people involved in the process. First, it tells us that they were persistent. They didn't give up on their goal of protecting Yosemite, even though it took them many years to achieve it. Second, it tells us that they were willing to compromise. The original bill proposed that Yosemite Valley and Mariposa Grove be granted to the State of California. However, the final bill that was passed granted the land to the federal government. This shows that the people involved were willing to work together to find a solution that would benefit everyone involved.

Here are the details of the different times the Yosemite bill was introduced in Congress:

1864: The Yosemite Valley Grant Act was introduced by Representative John Conness of California. The bill was passed by the House of Representatives, but it died in the Senate.

1865: The Yosemite Valley Grant Act was reintroduced by Representative Conness. The bill was passed by both the House of Representatives and the Senate, but it was vetoed by President Andrew Johnson.

1869: The Yosemite Valley Grant Act was reintroduced by Representative Conness. The bill was passed by both the House of Representatives and the Senate, and it was signed into law by President Ulysses S. Grant.

1889: The Yosemite National Park Act was introduced by Representative William Vandever of Iowa. The bill was passed by both the House of Representatives and the Senate, and it was signed into law by President Benjamin Harrison.

1890: The Yosemite National Park Act was amended to add the Mariposa Grove of Giant Sequoias to the park. The amendment was passed by both the House of Representatives and the Senate, and it was signed into law by President Harrison.

The Yosemite bill was a major victory for conservationists. It protected a beautiful and unique landscape from development and ensured that it would be available for future generations to enjoy. The fact that it took so many years to pass the bill shows the challenges that conservationists face in protecting our natural resources. However, it also shows that with persistence and compromise, it is possible to achieve great things.

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Answer:

hbfbdsfbdhjdfjhbfbggybfb

Step-by-step explanation:

shjbuydbyubfrbgbybfybg

Answer: Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of books she can purchase

Step-by-step explanation:

Answer:

its B and C

Step-by-step explanation: