Write a numerical expression to the model above. ( Chris initially Has 450 dollars in his account, and then writes three checks worth 200, as payments for his car

Answer: -20

Step-by-step explanation: 16 x 1/4 - 4x 6

Answer:

Step-by-step explanation:

1 TRUE

A number is always 100%  Anyting bigger than 100% is going to be a bigger number

  Anything smaller than 100% is a smaller number

2FALSE   5/100 = 0.05 and NOT 0.5

0.5% is the same as thalf of 100%    = 50%

   50/100  = 5/10  = 0.5

Answer:

The answer is 119.7 hope this helped! Also please mark me as brainliest.

Answer:

Balanced Force

Step-by-step explanation:

A balanced force.  There is no movement with respect to the forces.

9514 1404 393

Answer:

  left-to-right

Step-by-step explanation:

[There's a lot to read here. If you read it, maybe you'll have a better understanding.]

This is asking you the first step required to solve each of the equations.

The general process of solving an equation involves performing operations that result in the variable of interest being on one side of the equal sign (by itself), and everything else being on the other side. When variable and constant terms are mixed, we generally want to remove the variable term.

The underlying rule for all of this is "whatever is done to one side of the equation must also be done to the other side." The exceptions are simplification and substitution.

"Inverse" operations are of use in this process. That is why you are taught about the "additive inverse" (negative) of a number, and the "multiplicative inverse" (reciprocal) of a number. Adding the additive inverse results in the additive identity element (0). Similarly, multiplying by the multiplicative inverse results in the multiplicative identity element (1). Adding 0 or multiplying by 1 leaves only the original value.

__

With this in mind, we can look at the given equations to see what is needed to solve them.

2 +2y = y

  We see that the left side of the equation has both a constant term and a variable term. To remove the variable term we add its additive inverse: (-2y). Adding a negative value is the same as subtracting a positive value. That is, we can describe what we want to do as "subtract 2y from both sides".

When we do that, the result is ...

  2 +2y -2y = y -2y . . . . . here, we show the subtraction

  2 = -y . . . . . . . . . . . . . and this is the result of simplifying that.

Notice the y term is now on one side of the equal sign and the constant is on the other side. We are one step closer to the solution, which is the whole point.

__

5(y -4) = 2y

  This equation has parentheses. It often works well as a first step to eliminate the parentheses, generally using the distributive property. That is, we "distribute 5".

When we do that, the result is ...

  5(y) -5(4) = 2y . . . . . . . . here, we show the distribution

  5y -20 = 2y . . . . . . . and this is the result of simplifying that

This puts us one step closer to the solution, which is the whole point.

__

5y = 10 -2y

Here, the unwanted variable term is -2y on the right side of the equation. To remove it, we add 2y to both sides.

When we do that, the result is ...

  5y +2y = 10 -2y +2y . . . . . . . showing the addition of 2y

  7y = 10 . . . . . . . . . . . . . . . simplified

This puts us one step closer to the solution.

__

5 = 25y

This equation has the variable term and the constant term already separated. However, there is a coefficient on the variable term that is not equal to 1. We want to make that coefficient be 1. To do that, we multiply it by its multiplicative inverse: 1/25. That is, we divide both sides by 25.

When we do that, the result is ...

  5/25 = 25y/25 . . . . . . showing division by 25

  1/5 = y . . . . . . . . . simplified (and the fraction reduced)

This gives us the solution. There are no more steps required.

Determination, also known as R-squared. The coefficient of determination, denoted by \(R^{2}\), is a statistical measure that ranges from 0 to 1 and indicates how well the regression equation fits the data.

An \(R^{2}\) value of 0 indicates that the regression equation does not explain any of the variation in the response variable, while an \(R^{2}\) value of 1 indicates that the regression equation perfectly explains all of the variation in the response variable. In general, a higher \(R^{2}\) value indicates a better fit of the regression equation to the data.

The formula for calculating \(R^{2}\) is:

\(R^{2} =  \frac{SSR}{SSTO}\)

where SSR is the sum of squares due to regression (also known as explained sum of squares), and SSTO is the total sum of squares (also known as the total variation).

The coefficient of determination is an important tool in regression analysis because it helps to determine the strength and direction of the relationship between the independent and dependent variables.

To know more "Regression" refer here:

https://brainly.com/question/28178214#

#SPJ11

The estimated variance of B is 0.000014 and the estimated variance of a is 26.792.

To estimate the variances of the parameter estimates in the linear regression model, we can use the following formulas:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

Given the following values:

EX = 228

EY = 3121

EXY₁ = 38297

EX² = 3204

Exy = 3347-60

Ex? = 604-80

Ey? = 19837

n = 20

We can substitute these values into the formulas to estimate the variances.

First, let's calculate the estimate for B:

B = (n * EXY₁ - EX * EY) / (n * EX² - (EX)²)

= (20 * 38297 - 228 * 3121) / (20 * 3204 - (228)²)

= 1.331

Next, let's calculate the variance of B:

Var(B) = (1 / [n * EX² - (EX)²]) * (EY² - 2B * EXY₁ + B² * EX²)

= (1 / [20 * 3204 - (228)²]) * (3121² - 2 * 1.331 * 38297 + 1.331² * 3204)

= 0.000014

Now, let's calculate the estimate for a:

a = (EY - B * EX) / n

= (3121 - 1.331 * 228) / 20

= 56.857

Next, let's calculate the variance of a:

Var(a) = (1 / n) * (Ey? - a * EY - B * EXY₁)

= (1 / 20) * (19837 - 56.857 * 3121 - 1.331 * 38297)

= 26.792

To know more about variance,

brainly.com/question/28426562

#SPJ11

Answer:

She can buy 5

Step-by-step explanation:

U subtract

75-15=60

And the u divide

60/12=5

Answer: $3

36 ÷ 12 = 3

Answer:

$3 per month

Step-by-step explanation:

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

For more questions on: integers

https://brainly.com/question/17695139

#SPJ8  

Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

To know more about Angle Formula:

https://brainly.com/question/25716982

#SPJ4

Time taken for the both train to meet each other is 1.8  hours

The distance between two stations = 360 miles

The speed of one train = 95 miles per hour

The speed of the second train = 105 miles per hour

The relative speed of the trains = 95 + 105

Add the numbers

= 200 miles per hour

We know

Speed = Distance / Time

The time = Distance / Speed

The time taken for the two trains to meet = Distance / relative speed

Substitute the values in the equation

= 360 / 200

= 1.8 hours

Therefore, both trains will meet each other after 1.8 hours

I have answered the question in general, as the given question is incomplete

The complete question is:

Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 105 miles per hour. How long will it take for the two trains to meet?

Learn more about relative speed here

brainly.com/question/13083493

#SPJ4

Answer:

X^5

Step-by-step explanation:

Note: 1/X^-3 = 1÷X^-3=1÷ (1÷ X^3)= 1×X^3=X^3

a. H: δ>100 is a legitimate statistical hypothesis because it is a statement about a population parameter (δ) and it is testable using statistical methods.
b. H: x=45 is a legitimate statistical hypothesis because it is a statement about a population parameter (x) and it is testable using statistical methods.
c. H: s<.20 is a legitimate statistical hypothesis because it is a statement about a population parameter (s) and it is testable using statistical methods.
d. H: δ1/δ2 <1 is a legitimate statistical hypothesis because it is a statement about a population parameter (δ1 and δ2) and it is testable using statistical methods.
e. H: X-Y=5 is a legitimate statistical hypothesis because it is a statement about a population parameter (X and Y) and it is testable using statistical methods.
f. H: גּ<.01 is a legitimate statistical hypothesis because it is a statement about a population parameter (λ) and it is testable using statistical methods, with the parameter being the rate parameter of an exponential distribution used to model component lifetime.

Here are the answers for each assertion:

a. H: δ>100 - This is a legitimate statistical hypothesis because it states a specific direction for the population parameter (delta).

b. H: x=45 - This is not a legitimate statistical hypothesis because it refers to a sample statistic (x) rather than a population parameter.

c. H: s<.20 - This is not a legitimate statistical hypothesis because it refers to a sample statistic (s, sample standard deviation) instead of a population parameter.

d. H: δ1/δ2 <1 - This is a legitimate statistical hypothesis because it specifies a relationship between two population parameters (delta1 and delta2).

e. H: X-Y=5 - This is not a legitimate statistical hypothesis because it refers to sample statistics (X and Y) rather than population parameters.

f. H: λ<.01 - This is a legitimate statistical hypothesis because it states a specific direction for the population parameter (lambda) related to the exponential distribution for component lifetime.

Visit here to learn more about statistical hypothesis brainly.com/question/29576929

#SPJ11

Answer:

  x = 30°

Step-by-step explanation:

The arcsin (inverse sine) function can be used. Be sure to set your calculator to degrees mode.

  sin(x) = 1/2

  arcsin(sin(x)) = arcsin(1/2)

  x = arcsin(1/2)

  x = 30°

Answer:

x=6

Step-by-step explanation:

Answer: 12.81 (look at the image for the explanation)

Step-by-step explanation:

Answer: 81

Step-by-step explanation:

Since x is given, just substitute the value.

5(10) + 31

50 + 31 = 81

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's evaluate ~

The given expression is :

\(\qquad \sf  \dashrightarrow \:5x + 1\)

now, plug in the values of x as 10

\(\qquad \sf  \dashrightarrow \:5(10) + 31\)

\(\qquad \sf  \dashrightarrow \:50 + 31\)

\(\qquad \sf  \dashrightarrow \:81\)

So, required value is 81

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

4.5

Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

I understand that you want a concise explanation with the main answer in the last two lines. The term you're looking for is the calculation that involves dividing the estimated coefficient (b) by its estimated standard error (SEb). This computation is used in statistical analysis to determine the significance of a variable in a regression model.
In a regression analysis, the coefficient represents the slope of the line, showing the relationship between the independent and dependent variables. The standard error of the coefficient (SEb) is an estimate of the variability of the coefficient. By dividing b by SEb, we get a statistic that helps us assess the precision and significance of the estimated coefficient.
Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

To know more about the statement visit :

https://brainly.com/question/27839142

#SPJ11

The number of bacteria of type 3 that will be found on the Petri dish will be 36.84%.

The percentage of bacteria of type 3 on the Petri dish can be calculated using the percentage formula:

In this case, the final value is the number of bacteria of type 3 in the Petri dish, which is 7. The initial value is the total number of bacteria in the Petri dish, which is the sum of all the bacteria of all types, which is:

Hence:

Therefore, 36.84% of the bacteria in the Petri dish are of type 3.

This question should be provided as:

There are nine different types of bacteria on the Petri dish. A drawing shows some colonies of bacteria on the Petri dish. The number of bacteria in different colonies is as follows:

Colony  bacteria

   1          2

   2          1

   3          7

   4          4

   5          1

   6          1

   7          1

   8          1

   9          1

What percent of the bacteria on the Petri dish is of type 3?

Learn more about percentage here: brainly.com/question/8011401

#SPJ4

Answer:

Step-by-step explanation:

The root is the fractional part of an exponent and the power is the upper part of the exponent fraction

1)    \(\sqrt{x^{3} } = x^{\frac{3}{2} }\)

2)    \(17^{\frac{1}{5} } =\sqrt[5]{17}\)

3)   \(\sqrt[5]{y^{3} } = y^{\frac{3}{5} }\)

4)   \(z^{\frac{2}{3} } =\sqrt[3]{z^{2} }\)

Answer:

they would only need 2 cat grooming sessions

Step-by-step explanation:

Answer:

1/8 cups flour for pretzel

3 cups flour for bread

Step-by-step explanation:

we can first change 1/4b + 4c = 5/4 to b + 16c = 5 by multiplying by 4

we can solve for 'b' by subtracting '16c' from each side to get:

b = 5 - 16c

remember, 'b' also equals 24c (as given)

solve for 'c' by setting them equal:

5 - 16c = 24c

5 = 40c

5/40 reduces to 1/8, which is the amount for 'c'

now solve for 'b':

b = 24 multiplied by 1/8, which gives us 3

therefore, 3 is the amount for 'b'

Answer:

Ми можемо вирішити цю проблему, використовуючи теорему Піфагора та той факт, що діагоналі трапеції ділять одна одну пропорційно.

Нехай E — точка перетину AC і BD. Тоді маємо:

AE/EC = AB/DC (це випливає з того, що діагоналі трапеції ділять одна одну пропорційно)

Підставляючи наведені значення, отримуємо:

AE/(AE+EC) = 9/3 AE = 3*(AE+EC) AE = 3*AC/2 (оскільки AE+EC = AC)

Тепер, застосовуючи теорему Піфагора до трикутника ABE, ми маємо:

AE^2 + AB^2 = BE^2

Підставляючи відомі нам значення, отримуємо:

(3*AC/2)^2 + 9^2 = (10+EC)^2 9AC^2/4 + 81 = 100 + 20EC + EC^2

Спрощуючи і переставляючи, отримуємо:

EC^2 + 20EC - 259 = 0

Розв’язуючи це квадратне рівняння за допомогою квадратної формули, отримуємо:

EC = (-20 ± sqrt(20^2 + 4*259))/2 EC = (-20 ± sqrt(1164))/2 EC = (-20 ± 34,116)/2

Оскільки EC не може бути від’ємним, беремо позитивний корінь:

EC = 7,058

Нарешті, ми можемо використати рівняння AE+EC = AC, щоб знайти довжину AC:

AE + EC = AC 3*AC/2 + 7,058 = AC AC/2 = 7,058 AC = 14,116

Отже, довжина АС дорівнює 14,116 см (до 3 знач. цифри).

Step-by-step explanation:

Answer:

q=4p-14

Step-by-step explanation:

> 5q-4q+6=4q-8

> 5q-4q+6+8=4p

> q+14=4p

> q=4p-14

Answer:como se hace eso

Step-by-step explanation:

Andres brought the most milk, and Carlos brought the least milk.

To find out the student who bought the most milk, you need to convert the liters decimals so that they can be compared evenly.

Andrés brought 2²

= 2 x 2

= 4 liters of milk.

Bruno brought 13/4:

= 13 / 4

= 3.25 liters of milk.

Carlos bought 1. 16 liters and Daniel bough 1. 3 liters.

This shows that Andres bought the most milk and Carlos bought the least amount.

Find out more on liters at https://brainly.com/question/17433466

#SPJ1

To have exactly 3 kings in a hand, we need to choose 3 kings out of 4 and 2 non-kings out of 48. This can be done in 4512 ways.


To calculate the number of hands containing exactly 3 kings, we need to use the concept of combinations. We know that there are 4 kings in a deck of 52 cards. To choose 3 kings out of 4, we can use the combination formula, also known as "n choose k," which is written as nCk.

So, the number of ways to choose 3 kings out of 4 is 4C3 = 4.

Next, we need to choose 2 non-kings out of the remaining 48 cards. This can be done using the combination formula again. The number of ways to choose 2 non-kings out of 48 is 48C2 = 1128.

Now, we can use the multiplication principle to find the total number of hands containing exactly 3 kings. We multiply the number of ways to choose 3 kings by the number of ways to choose 2 non-kings:

Total number of hands = 4C3 * 48C2 = 4 * 1128 = 4512.

Therefore, there are 4512 hands that contain exactly 3 kings when 5 cards are randomly chosen from a standard deck.

To know more about multiplication principle click on below link:

https://brainly.com/question/11514947#

#SPJ11

Answer:

He can read 80 in four hours.