At the craft store, Stefan bought a bag of yellow and brown marbles. The bag contained 40 marbles, and 10% of them were yellow. How many yellow marbles did Stefan receive?

Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.

To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.

The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.

In the given information, we don't have a right triangle or the length of the side opposite angle ABC.

Without this information, it is not possible to calculate the value of sin(ABC) accurately.

If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).

We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).

The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.

A right triangle or the length of the side opposite angle ABC are absent from the provided information.

The value of sin(ABC) cannot be reliably calculated without these information.

Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).

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The unknown angle x in the triangle is 80 degrees

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

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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Answer:

C

Step-by-step explanation:

tanA = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{24}{10}\) = \(\frac{12}{5}\) → C

Answer:

the median home size.

Step-by-step explanation:

In this scenario, the confounding variable would be the median home size. This is because this factor is both a cause and effect of the median home prices. A bigger house would obviously be worth more than a smaller house so the house size affects the prices of the homes in the market. At the same time, the median home sizes can also cause an increase or decrease in crime rates as criminals are more likely to target homes that seem as though they have more valuables inside.

Answer:

Crime rate

Step-by-step explanation:

In multiple regression analysis, the correlation among the independent variables is termed as d. multicollinearity.

Basically, multiple regression analysis means a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

If the independent variables of the regression analysis is correlated, the it is called as multicollinearity.

Therefore, the option (d). multicollinearity is the answer

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Answer:

A

Step-by-step explanation: edge 2021

Hope this helps :)

Answer:

A

Step-by-step explanation:

Answer:

3.5 meters

Step-by-step explanation:

Answer:

sorry for my pen!......

Answer:

use the calculator or sum

Step-by-step explanation:

Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

Answer:

5 hours

Step-by-step explanation:

Here is the full question :

Tony gets paid $5 per hour to babysit his cousin. This weekend, he babysat on both Saturday and Sunday. He made a total of $55. Tony babysat for 6 hours on Sunday. For how many hours did he babysit on Saturday?

If Tony earned a total of $55 and he earns $5, he worked for $55 / 5 = 11 hours

If he babysat for 6 hours on Sunday, the total number of hours he babysat on Saturday = 11 hours - 6 hours = 5 hours

Answer:

If you're asking how many books there are its 86.

Step-by-step explanation:

If each book is 1/2 thick that means there are 2 books per inch.

Because there are 43 inches you're going to multiply by 2.

43(2)= 86.

Hope that helped, have a good day!

Answer:

<3<3<3<3<3<3<3

52,360

<3<3<3<3<3<3<3

Answer:

52,360

Step-by-step explanation:

Step-by-step explanation:

43+25 which is the addition of the two numbers which is 68

Using the equation we know that the required value of x is (B) 30 cm.

Basically, an equation is when you have two expressions with the same value on either side of an "equal to" sign.

For example, 3x + 5 = 15.

There are lots of different types of equations, like linear, quadratic, and cubic, among others.

So, looking at the diagram, the equation is true.

x/75 = 12/30

Solve as follows:

30x = 12 * 75

30x = 900

30x/30 = 900/30

x = 30

Therefore, using the equation we know that the required value of x is (B) 30 cm.

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Correct question:

What is the value of x?

(A) X= 4.8 cm

(B) X= 30 cm

(C) X= 93 cm

(D) X= 187.5 cm

Answer:

13x+4+12y

Step-by-step explanation:

Answer: hey I actually just finished learning about this in math.

Step-by-step explanation: the graph is a function, because it passes the vertical line test

1 cup of flour is approximately 128 grams.

According to my tests, you should use 128 grammes for a cup of all-purpose flour if you want to bake with weights and the recipe's creator doesn't provide a weight for their flour.

If you want to be able to adapt American recipes to the metric system, working with weights is essential (converting flour from cups to grams). A recipe should always be broken down by weight if you want to see the proportions of the various ingredients. Using weights also makes it easier and more accurate to scale recipes up or down.

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Han's retirement account earns $247,163.25 in simple interest.

To find the simplest interest, we need to use the formula:

Simple Interest = Principal × Rate × Time

In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:

Time = Simple Interest ÷ (Principal × Rate)

Plugging in the values, we get:

Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years

Therefore, the simplest interest is:

Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25

So Han's retirement account earns $247,163.25 in simple interest.

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Answer:

5 is the y-intercept

Step-by-step explanation:

The set, together with the indicated operations, satisfies all the vector space axioms, so it is a vector space.

To determine if the set M2,4 with the standard operations (addition and scalar multiplication) forms a vector space, we must check if it satisfies the following vector space axioms:

1. Closure under addition
2. Commutativity of addition
3. Associativity of addition
4. Existence of additive identity (zero vector)
5. Existence of additive inverse
6. Closure under scalar multiplication
7. Distributive property for scalar and vector addition
8. Associativity of scalar multiplication
9. Identity property of scalar multiplication

M2,4 represents the set of all 2x4 matrices, i.e., matrices with 2 rows and 4 columns. Let's verify if the axioms hold for this set:

1. Closure under addition: Adding two 2x4 matrices results in another 2x4 matrix.
2. Commutativity of addition: For any two 2x4 matrices A and B, A + B = B + A.
3. Associativity of addition: For any three 2x4 matrices A, B, and C, (A + B) + C = A + (B + C).
4. Existence of additive identity: The zero matrix (a 2x4 matrix with all elements being 0) is the additive identity.
5. Existence of additive inverse: For any 2x4 matrix A, there exists a matrix -A such that A + (-A) = 0 (the zero matrix).
6. Closure under scalar multiplication: Multiplying a 2x4 matrix by a scalar results in another 2x4 matrix.
7. Distributive property for scalar and vector addition: For any scalar c and 2x4 matrices A and B, c(A + B) = cA + cB.
8. Associativity of scalar multiplication: For any scalars c and d and a 2x4 matrix A, (cd)A = c(dA).
9. Identity property of scalar multiplication: For any 2x4 matrix A, 1A = A.

Since M2,4 with the standard operations satisfies all the vector space axioms, it is indeed a vector space.

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The solution to the simultaneous equation is x = 1 and y = 3

1 / 3 x + y = 10 / 3

2x + 1 / 4 y = 11 / 4

multiply equation one by 3 and multiply equation 2 by 4

Therefore,

x + 3y = 10

8x + y  = 11

hence,

x + 3y = 10

24x + 3y = 33

23x = 23

x = 23 / 23

x = 1

Therefore,

1 + 3y = 10

3y = 10 - 1

3y = 9

y = 9 / 3

y = 3

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The degree of the polynomial is 3

Hence, James is correct

Answer:

so what we have to do first is multiply 9*10

which is 90 now we divide by two to get 45

now we multiply 45 by 20 to get

900

Hope This Helps!!!

Amount of interest on loan at Rimrock Bank, using ordinary interest at a rate of 15%, is $48,750 and at rate of 14.5%, is $47,125. In Southside National Bank , interest at a rate of 15%, is $49,500.

To compete with Rimrock Bank's offer, Southside National Bank would need to quote a rate of 14.38% using exact interest.                                    (a) To calculate the amount of interest on the loan at Rimrock Bank, we use the formula I = PRT, where I is the interest, P is the principal amount, R is the interest rate, and T is the time in years. Plugging in the values, we have I = $1,300,000 * 0.15 * (90/365) = $48,750.

(b) The amount of interest on the loan at Southside National Bank using exact interest is calculated the same way as in part (a), resulting in I = $1,300,000 * 0.15 * (90/360) = $49,500.                                                        (c) Similarly, using the same formula, we find the interest on the loan at Rimrock Bank with a rate of 14.5% to be I = $1,300,000 * 0.145 * (90/365) = $47,125.

(d) To determine the rate at which Southside National Bank should quote to compete with Rimrock Bank's last offer, we subtract the given interest difference of $1,125 from the interest calculated in part (b). Solving for R, we have $48,750 - $1,125 = $1,300,000 * R * (90/360). Solving this equation results in R ≈ 0.1438, which is 14.38% rounded to the nearest hundredth of a percent.

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Answer:

what is it you need to solve for, y? x?

Answer:

Step-by-step explanation:

(i)2x+2y=4

We take value of y=\(\frac{4-2x}{2}\)

2x+2(\(\frac{4-2x}{2}\))=4

2x + \(\frac{8-4x}{2}\)=4

\(\frac{4x+8-4x}{2}\) =4  (4x-4x=0)

\(\frac{8}{2}\)=4 -> 4=4=0

2x+2y=4 is 0

(ii)3x+2y=7

y=\(\frac{7-3x}{2}\)

3x+2(\(\frac{7-3x}{2}\))=7

\(\frac{6x+14-6x}{2}\)=7

\(\frac{14}{2}\)=7

7=7=0

Answer: D and E

Step-by-step explanation: