7. Tristan has $400 in his checking account at the
beginning of August. He wants to have at least $150 in
account by the end of the year. He withdraws $15 each
week for his own use. Write an inequality representing
the scenario. BONUS: How many weeks can Tristan
withdraw money from his account?
6
A. 400 - 15x 2150
C. 400 - 15x > 150
B. 400 - 152 s 150
D. 400 - 15x< 150

The percent of Thompson's Scores that are greater than 73.8 is 95%

The percent of Thompson's Scores that are between 64.2 and 67.4 is 69% to 94%

given data

a mean of about 70.6 strokes

a standard deviation of about 3.2 strokes

Applying the 68%, 95%, and 99.7% Rule. This rule says that standard deviations is changed to percentages when:

Hence we calculate how many standard Deviations that gives 73.8 as follows

since the73.8 is greater than the mean we add the SD to the mean

70.6 + 3.2 = 73.8

73.8 is 1 SD but we are looking for value greater than 73.8. This should be just above 73.8, hence from 2 SD which is 95%

What percent of Thompson's scores are between 64.2 and 67.4

Applying the 68%, 95%, and 99.7% Rule

The numbers asked is less than the mean hence we subtract

70.6 - 3.2 = 67.4    ( 1 SD = 68% )

70.6 - 3.2 - 3.2 = 64.2    ( 2 SD = 95% )

The question asks the percent of Thompson's scores between 68% and 95%. This is 69% to 94%.

The question said between hence the end values are not inclusive

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Answer:

<-1,-7>

Step-by-step explanation:

You move the z line so it goes southwest instead of northeast, since you are subtracting it. The x range is 8 and y range is 2, so count it from 4,-4. 8 points to left and 2 points down.

Answer:

Perpendicular line is straight

Answer:

When GF and CD are perpendicular to AB, they do not intersect each other. When CD is not perpendicular to AB, GF and CD intersect at a single point.

Step-by-step explanation:

PLATO

Answer:

28 books and 14 months

Step-by-step explanation:

Because 28 is greater then 14 by 14 not 7

Answer:

b. interaction effect

Step-by-step explanation:

In a regression model, the interaction effect is present when a predictor variable changes the effect of another predictor variable on the outcome.

In a regression model, the interaction effect exists when one predictor variable impacts the outcome of another predictor variable differently than when examined individually. It refers to the interaction between two or more predictor variables and their influencers on an outcome or response variable. For example, in a regression model, studying and having a quiet place may individually contribute to a better score on a test, but perhaps studying in a quiet place provides a significantly better effect than the sum of those two effects separately. This would be considered an interaction effect.

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Answer:

Your answer is: t = 3

83 = 24.5t

73.5 = 24.5t

t = 3

t = tickets

b = 2

m = -2/5

Step-by-step explanation:

Hope this helped : )

With a TI-84 Plus calculator, the shaded areas beneath the standard normal curve are (a) 0.705, (b) 0.976, (c) 0.01, and (d) 0.09.

We must determine the region beneath the normal distribution curve.

a) region of the standard normal curve outside of the range between z = − 1.98 and z = 0.61.

= P (-1.98 < z < 0.61)

= P (z < 0.61) - P ( z < - 1.98)

= 0.729 - 0.024

= 0.705

= 70.5 %

b) region to the left of the standard normal curve under z = 1.98

= P ( z < 1.98)

= 0.976

= 97.6%

c) region to the right of the standard normal curve under z = 2.34

P (z > 2.34)

= 1 - P (z < 2.34)

= 1 - 0.990

= 0.01

= 1 %

d) space between the standard normal curve's upper and lower bounds z = -0.94 and z = -0.63

= P ( -0.94 < z < -0.63)

= P (z < -0.63) - P (z < -0.94)

= 0.264 - 0.174

= 0.09

= 9%

The complete question is:

Using the TI-84 calculator, find the area under the standard normal curve. Round the answers to four decimal places.(a) Find the area under the standard normal curve that lies outside the interval between z= −1.98 and z=0.61.(b) Find the area under the standard normal curve to the left of z=1.98.(c) Find the area under the standard normal curve to the right of z= 2.34.(d) Find the area under the standard normal curve that lies between z= −0.94 and z= −0.63.

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The least squares method minimizes the sum of the squared differences between the observed data points and the predicted values.

The least squares method is a mathematical technique used to find the best fit line or curve for a set of data points. It is commonly used in regression analysis to determine the relationship between two variables.

The method works by minimizing the sum of the squared differences between the observed data points and the predicted values from the line or curve. This sum is known as the residual sum of squares (RSS) or the sum of squared residuals (SSR).

The least squares method aims to find the line or curve that minimizes this sum, meaning it minimizes the overall error between the observed data and the predicted values. By minimizing the sum of squared differences, the method finds the line or curve that best represents the data.

In other words, the least squares method seeks to find the line or curve that provides the best balance between fitting the data closely and avoiding extreme deviations from the data points.

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The least squares method for determining the best fit minimizes the sum of the squared differences between the observed data points and the corresponding values predicted by the mathematical model or regression line.

In other words, it aims to minimize the sum of the squared residuals, where the residual is the difference between the observed data point and the predicted value. By minimizing the sum of squared residuals, the least squares method finds the line or curve that best fits the data by minimizing the overall error between the predicted values and the actual data.

Mathematically, the least squares method minimizes the objective function:

E = Σ(yᵢ - ŷᵢ)²

where yᵢ is the observed value, ŷᵢ is the predicted value, and the summation Σ is taken over all data points. The goal is to find the values of the parameters in the mathematical model that minimize this objective function, usually by differentiating it with respect to the parameters and setting the derivatives equal to zero.

By minimizing the sum of squared differences, the least squares method provides a way to estimate the parameters of a mathematical model that best represents the relationship between the independent and dependent variables in a data set.

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The equations we can use to find the lengths of the legs of the given triangle are:

100 = (x + 2)² + x²; 24 = 0.5 × (x + 2)(x); and x² + 2x - 48 = 0

To determine the lengths of the legs of a right triangle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Thus, for the given right triangle, we can use the equation:

10² = (x + 2)² + x²

Simplifying, we get:

100 = (x + 2)² + x²

To find the area of the triangle, we use the formula:

Area of triangle = 1/2 × base × height

where the base is one of the legs of the triangle, and the height is the perpendicular distance from that leg to the opposite vertex. In this case, the two legs have lengths x and x+2, so the area is:

Area of triangle = 1/2 × (x + 2)(x)

Simplifying, we get:

24 = 0.5 × (x + 2)(x)

Expanding the right-hand side and simplifying, we get:

24 = x² + 2x / 2

Multiplying both sides by 2, we get:

48 = x² + 2x

Rearranging, we get:

x² + 2x - 48 = 0

So, to find the length of the legs of the right triangle, we need to solve the quadratic equation x² + 2x - 48 = 0.

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Interactions involving dummy variables can provide insights into the different effects of independent variables across categories.

1. Dummy variables are binary variables that represent categorical variables in a regression analysis. When interactions are included between dummy variables and other independent variables, it allows for differential effects of the independent variables based on the different levels of the categorical variable.

For example, let's consider a regression model to predict income based on education level and gender. We can include an interaction term between education level (represented by dummy variables for different levels) and gender. This interaction term allows us to examine whether the effect of education level on income differs between males and females. It helps capture any gender-specific differences in the relationship between education and income.

1.2 The linear probability model (LPM) is a common approach to estimate the probability of an event occurring using a linear regression framework. However, it has several problems:

1. The predicted probabilities from the LPM can fall outside the [0, 1] range: Since the LPM does not impose any restrictions on the predicted probabilities, they can sometimes exceed the valid probability range. This violates the assumption of probabilities being bounded between 0 and 1.

2. Heteroscedasticity: The LPM assumes constant error variance across the range of the predictors. However, in practice, the variability of the error term may change with different levels of the predictors, resulting in heteroscedasticity. This violates the assumption of homoscedasticity.

3. Non-linearity: The LPM assumes a linear relationship between the predictors and the probability of the event. However, this may not always be the case, and using a linear model can result in misspecification.

To remedy these problems, an alternative to the LPM is to use logistic regression or probit regression models. These models explicitly model the probability of an event occurring and address the issues mentioned above. They provide predicted probabilities that fall within the valid range of 0 to 1, account for heteroscedasticity, and allow for non-linear relationships between the predictors and the probability of the event.

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The values of x is 12

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.

in ABC

AC²= AB² + BC²

25²= AB² + BC².............(1)

In ABD

AB²= AD² + BD²

AB²= 16² + x²

In BCD

BC²= CD² + BD²

BC²= 9² + x²

Put the values in (1)

25²=  16² + x² + 9² + x²

625 - 337 = 2x²

2x² = 288

x² = 144

x= 12

So, segment =16

segment 2 = 25 -16=9

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Answer:

\( \frac{1}{2} (48 \div6) - 2 + 5 \\ \frac{1}{2} (8) - 2 + 5 = 4 - 2 + 5 \\ = 2 + 5 \\ = 7\)

Answer:

x=3

Step-by-step explanation:

Answer:

\(b)8\)

is the answer it's was helpful to you

Answer:

B ) 8

Is the answer have a great day

Answer:

Una relación lineal es de la forma:

y = a*x + b.

donde a es la pendiente y b es la ordenada al origen.

en este caso, y es el precio de la camioneta, x es el numero de años que pasaron, a es la razon de depreciación de la camioneta y b es el precio inicial de la camioneta, b = $42,000.

Sabemos que después de 5 años, el precio de la camioneta es 21,000, entonces podemos resolver:

$21,000 = a*5 + $42,000

a*5 = $21,000 - $42,000 = -$21,000

a = -$21,000/5 = -$4,200

Esto significa que el precio decae $4,200 por año

El valor de depreciación de la camioneta es de $4200 por año.

Dado que Juana compró una camioneta 4x4 a $42 000; y además, sabe que la camioneta se depreciará (bajará su precio) en forma lineal durante 6 años, para determinar, si al quinto año la camioneta tendrá un valor de $21 000, cuál es el valor de la depreciación de la camioneta, se debe realizar el siguiente cálculo:

Por lo tanto, el valor de depreciación de la camioneta es de $4200 por año.

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Answer:

Can i see an picture plz????? I think C but I can't be sure there has to be a picture with this. I think C.

Answer:

336 ft^2

Step-by-step explanation:

All you have to do is find the area of each face, and add them up.

Firstly lets starts with the identical triangles.

There are two of them, and the area of a triangle is b*h/2

So the area is 6*8/2 , which is 24, and since their are two of them, we add another 24, and we get 48 so far.

Since all the other sides are rectangles, we can just multiply the given lengths and add them up.

So, we have

12x10, which is 120,

12x8, which is 96, and

12x6, which is 72.

Now add all of them up.

48+120+96+72 which is 336

Your answer is 336 ft^2

Answer:  B)-4

Step-by-step explanation:

The given equation: \(\dfrac{6}{x^2-9}-\dfrac{1}{x-3}=1\)

Using identity: \(a^2-b^2=(a-b)(a+b)\)

\(\dfrac{6}{(x-3)(x+3)}-\dfrac{1}{x-3}=1\\\\\Rightarrow\ \dfrac{6-(x+3)}{(x-3)(x+3)}=1\\\\\Rightarrow\ \dfrac{6-x-3}{(x-3)(x+3)}=1\\\\\Rightarrow\ 3-x=(x-3)(x+3)\\\\\Rightarrow\ (-1)(x-3)=(x-3)(x+3)\\\\\Rightarrow\ -1=x+3\\\\\Rightarrow\ x=-1-3=-4 \ \ \ [x\neq3]\)

Hence, the solution is : x=-4

The correct option is B.

Answer:

-9 ≤ x < 2

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We can see from the graph that our x-values span from -9 to 2. Since -9 is closed dot, we include it in our domain. Since -2 is open dot, it is excluded from our domain:

[-9, 2) or -9 ≤ x < 2

Answer:

$4.94

Step-by-step explanation:

Gummy worms cost $2.96 per lb, and she bought 4.25 lbs, so:

2.96 * 4.25 = $12.58 spent in gummy worms

Jaw breakers cost $4.95 per lb, and she bought 0.5 lbs, so:

4.95 * 0.5 = $2.48 spent in jaw breakers

Adding the gummy worms and the jaw breakers, she spent:

12.58 + 2.48 = 15.06 in Total

She gave the clerk $20.00, but she only spent only $15.06, so the clerk gave her back the difference:

20 - 15.06 = $4.94 is the change that she received

The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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The given statement states that for all integers n ≥ 1, the product of the first n terms of the sequence 1 · 2 · 3 · ... · n is equal to n(n-1)(n-2)(n-3) · ... · 4. This can be proven using mathematical induction.

We will prove the given statement using mathematical induction.

Base case: For n = 1, the left-hand side of the equation is 1 and the right-hand side is also 1, so the statement holds true.

Inductive step: Assume the statement holds true for some integer k ≥ 1, i.e., 1 · 2 · 3 · ... · k = k(k-1)(k-2) · ... · 4. We need to prove that it holds for k+1 as well.

Consider the left-hand side of the equation for n = k+1:

1 · 2 · 3 · ... · k · (k+1)

Using the assumption, we can rewrite it as:

(k(k-1)(k-2) · ... · 4) · (k+1)

Expanding the right-hand side, we have:

(k+1)(k)(k-1)(k-2) · ... · 4

By comparing the two expressions, we see that they are equal.

Therefore, if the statement holds true for some integer k, it also holds true for k+1. Since it holds for n = 1, by mathematical induction, the statement holds for all integers n ≥ 1.

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Answer:

C

Step-by-step explanation:

\( \sqrt{3x} + 8 = x - 2\)

If we assume that 1 Student can have atmost 1 award , then the possible selections for the 4 awards is  657720 .

The total number of students at Gatech is = 30 ;

The 4 awards that are being distributed to students are : Chemistry, English, Math and Physics ;

all the awards are different , and 4 students needed to be chosen out of 30 for 4 awards ; and

every student can have atmost only 1 award

So , the number of ways is = ³⁰P₄ (because order is important) = 657720 ;

Therefore , the possible selection for 4 awards is 657720 .

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The given question is incomplete , the complete question is

At Gatech there are 30 students and 4 awards in Chemistry, English, Math and Physics. Assume that a student can have at most one award.

How many possible selections for the 4 awards ?  

The correct answer is D. After the loop, the last row of matrix is 0, 0, 0, 0, 10.

This is because the code initializes a 5x5 matrix with all elements set to 0. Then, the for loop iterates over the length of the last row (which is 5), and sets the values in the last row to 10. However, the loop also has a semicolon immediately after the condition, which effectively terminates the loop before it even starts executing the loop body.

Therefore, only the initialization statement (which does nothing) and the semicolon are executed, leaving the rest of the matrix unchanged except for the last element in the last row, which is set to 10.

In computer programming, an initialization statement is a statement used to set an initial value to a variable or constant when it is declared. This is typically done to ensure that the variable or constant starts with a known and expected value, and to avoid any unpredictable behavior that may result from uninitialized data.

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In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.

A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to forecast. The independent variable is the one you're using to make a prediction about the value of the other variable.

Given,

You want to run a regression to predict the probability of a flight delay, but there are flights with delays of up to 12 hours that are really messing up your model.

I immediately think of grouping delays into ranges such as those under 40 minutes, those between 40 minutes and 2 hours, those between 2 hours and 10 hours, and those above 10 hours. But doing so requires the use of a classification model, such as logistic regression. We frequently consider whether there will be a delay rather than how long it might last when thinking about delays. In the event that linear regression is required, we have two options: (1) change the delay column 2) ignore them.

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Answer:C

Step-by-step explanation:

To find the product of 6x and [4-21 730], we need to simplify the expression first.

To simplify, we perform the subtraction first and then multiply.  

So, [4-21 730] can be simplified as follows: [4-21 730] = 4 - 21730 = -21726  

Now, we can find the product of 6x and -21726 as follows: 6x(-21726) = -130356  

Therefore, the product of 6x and [4-21 730] is -130356.

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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After  solving the equation 5(X - C)  = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

In the question ,

it is given that , the matrices are

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .

and the equation is given as 5(X - C)  = D ,

and we have to find the value of unknown matrix X .

let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)

Substituting , the given matrices A , B , C and D in the equation 5(X - C)  = D ,

we get ,

5(X - C)  = D ,

5X - 5C = D ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)

Simplifying further ,

we get ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)

Dividing both sides by 5 ,

we get ,

X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)

Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

The given question is incomplete , the complete question is

Solve the matrix equation for the unknown matrix X.

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is

5(X - C)  = D .

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