Data obtained from a number of women clothing stores show that there is a (linear) relationship between sales (y, in dollars) and advertising budget (x, in dollars). The regression equation was found to be
y = 5000+ 7.25x
where y is the predicted sales value (in dollars). If the advertising budgets of two women clothing stores differ by $30,000, what will be the predicted difference in their sales?
Select one:
a. $150,000,000

b. $222,500

c. $5,000

d. $7250

e. $217,500

"Flesh & Blood So Cheap: The Story of the Triangle Factory Fire" provides key details about the Triangle Factory Fire, emphasizing the tragic loss of life and the poor working conditions.

"Flesh & Blood So Cheap: The Story of the Triangle Factory Fire" is a book that focuses on the tragic event known as the Triangle Factory Fire, which occurred on March 25, 1911, in New York City. The fire at the Triangle Shirtwaist Factory resulted in the deaths of 146 garment workers, primarily young immigrant women. The book provides key details about the incident, highlighting the events leading up to the fire, the conditions inside the factory, and the aftermath. It examines the lives of the workers, their struggles, and the exploitation they faced in the garment industry. The author, Albert Marrin, delves into the social and historical context of the time, exploring the tensions between labor and management, as well as the lack of safety regulations.The text emphasizes the tragic loss of life and the human toll of the fire. It portrays the victims as individuals, providing personal stories and accounts to evoke empathy and understanding.

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Given expression :

Now, let's evaluate it.

2(4x+3y) = 2( 4.4 + 3.6)

⠀⠀⠀⠀⠀ = 2( 16 + 18)

⠀⠀⠀⠀⠀ = 2( 34)

⠀⠀⠀⠀⠀ = 68

Given

x = 4, y = 6

To find out:

The value of 2(4x + 3y)

Solution:

2 (4x + 3y)

= 2 (4 × 4 + 3 × 6)

= 2 (16 + 18)

= 2 (34)

= 68

Answer:

68

Hope you could understand.

If you have any query, feel free to ask.

Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

The algebraic expression that we can use to find the value of B, the number of free throws that Brian scored is:

B = N + 12.

The given information on this problem is:

N represents the number of free throws that Nathan scored.

We also know that Brian scored 12 more free throws than Nathan.

So, if we define the variable B as the number of free throws that Brian scored, then we can write the relation between B and N as:

B = N + 12.

That is the algebraic expression that we can use to find the value of B, the number of free throws that Brian scored.

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All the batter would fit into the pan as it has more volume than half a gallon.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know, One gallon is equal to 231 cubic inches.

Therefore, Half a gallon is equal to 231/2 cubic inches.

The volume of the pan is (9×4×4) cubic inches.

= 144 cubic inches.

Now, 144 > 231/2, so it would fit.

Q. Anita is baking pumpkin bread and has a half gallon of batter. She plans to pour the batter into a glass pan with a length of 9 inches, a width of 4 inches, and a depth of four. Determine if all the batter will fit in the pan.

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Answer:

x = 32 degrees

Step-by-step explanation:

since there is a line intersecting both of the lines you would do the opposite number to solve the problem. basically what i am trying to say is.

A straight line equals 180 degrees

and the given angle is 148 degrees

so just subtract.

180 degrees - 148 degrees = 32 degrees

so x = 32 degrees

to see if it is reasonable, look at the angle

if you look you can see that it is an acute angle

so, since 32 degrees is an acute angle, the answer is also reasonable.

so like i said,

x = 32 degrees

The interior angles of parallel lines and a transversal are the angles between the parallel lines.

The value of x is 32 degrees

Alternate interior angles of a parallel line add up to 180 degrees.

So:

\(\mathbf{148 + x = 180}\)

Subtract 148 from both sides

\(\mathbf{148 - 148+ x = 180 - 148}\)

Evaluate like terms

\(\mathbf{x = 32}\)

Hence, the value of x is 32 degrees

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The function is increasing is f(x) = \(5^x\)

For exponential functions: f(x) = \(a^{x}\) (a>0 and a\(\neq 0\) ), when A is greater than the function is increased.

0.5 <1, \(\frac{1}{15}\)<1 , \(\frac{1}{5}\)<1 , 5>1

so C is correct.

The exponential  is a mathematical function denoted by the argument x is written as an exponent. Unless otherwise specified, the term generally refers to the positive-valued function of  a true  variable, although it  are often  extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras. The  exponential  originated from the notion of exponentiation (repeated multiplication), but modern definitions (there are several equivalent characterizations) allow it to be rigorously extended  to all or any  real arguments, including irrational numbers. Its ubiquitous occurrence in pure and  applied math  led mathematician Walter  to opine that the exponential function is "the most important function in mathematics".

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Answer:

3/8

Step-by-step explanation:

Juanita spent 3/4 of her allowance at the mall. Of the money spent at the mall, 1/2 was spent on new earphones. What part of her allowance did Juanita spend on earphones?

Correct Answer: 3/8

Answer:

214.5 usd

Step-by-step explanation:

blc we will do 650 times 11 .over 100 to get the annual the multiply it by 3

HOPE HELPED!!

Step-by-step explanation:

answer is in the photo above

Answer:

\(\displaystyle p = \frac{16}{q + 1}\).

Step-by-step explanation:

Factor out the coefficient of \(x^{2}\):

\(\displaystyle \frac{1}{q + 1}\, [(q + 1)\, x^2 - 8\, x + p] = 0\).

\(\displaystyle x^2 - \frac{8}{q + 1} \, x + \frac{p}{q + 1} = 0\).

Let \(m\) denote the real root of this equation. By the Factor Theorem, this equation would have the factor \((x - m)\) repeated for two times in total:

\((x - m)^{2} = 0\).

Expand to obtain: \(x^2 - 2\, m\cdot x + m^{2} =0\).

Compare this expression with \(\displaystyle x^2 - \frac{8}{q + 1} \, x + \frac{p}{q + 1} = 0\):

\(\displaystyle -\frac{8}{q + 1} = -2\, m\) (for the coefficient of \(x\).)

\(\displaystyle \frac{p}{q + 1} = m^2\) (for the constant.)

Rewrite the first equation to find an expression for \(m\) in terms of \(q\):

\(\displaystyle m = \frac{4}{q + 1}\).

Substitute this expression for \(m\) into the second equation to find an expression for \(p\) in terms of \(q\):

\(\displaystyle \frac{p}{q + 1} = m^2\).

\(\displaystyle \frac{p}{q + 1} = \frac{4^2}{(q+1)^{2}}\).

\(\displaystyle p = \frac{16}{q + 1}\).

Verify that this expression for \(p\) satisfies the requirements:

\(\displaystyle (q + 1) \, x^{2} - 8\, x + \frac{16}{q + 1} = 0\).

\(\displaystyle x^2 - \frac{8}{q + 1} + \frac{16}{(q+1)^2} = 0\).

\(\displaystyle x = \frac{4}{q + 1}\) is the (repeated) real root of this quadratic equation.

Answer:

Step-by-step explanation:

Answer: I believe A is 52 degrees.

Solution:  Find angle c (D + C adds up to 180 degrees cuz its a line)

So do 180-116=64 degrees

Assuming this is an isosceles triangle because the sides on d and c look equal, we know that those 2 angles add up to 128 degrees(64 + 64).

Therefore, since the shape is a triangle(adds up to 180 degrees) you just do 180 minus 128 to get angle A which is 52 degrees.

Answer:

yes

Step-by-step explanation:

a) The equation of the regression Line is; y = -1.189 +  0.0021x

b) What the y-intercept of the regression line indicates is that regression line is only in the area with y > 0.

c) The slope of the regression line predicts an increase of 0.0021 in GPA score.

d)  The GPA of a freshman who scored a combined 1400 is; 1.751

e) The SAT scores are effective in predicting academic success during the first semester of the freshman year at this college.

f) Positive

a) Let SAT be represented as x and let GPA be represented as y.

Now, formula for Covariance is;

Covariance = r(s_x * s_y)

We are given;

correlation; r = 0.47

s_x = 123

s_y = 0.56

Cov = 0.47 * 123 * 0.56 = 20.81

Now, the equation is;

y = B₀ + B₁x

Where;

B₁ = cov/var(x) = cov/sₓ²

B₁ = 20.81/(123 * 123)

B₁ = 0.0021

B₀ = 2.66 - (1.833 * 0.0021)

B₀ = -1.189

Thus, the equation is;

y = -1.189 +  0.0021x

b) GPA can't be negative. So it is a meaningless value. Thus, the regression line is only in the area with y > 0.

c) For each additional SAT score, the model predicts an increase of 0.0021 in GPA score.

d) To predict the GPA of a freshman who scored a combined 1400, it is the formula;

y(1400) = −1.189 + (0.0021 * 1400)

y(1400) = 1.751

e) r² = 0.472

r = 0.2209.

SAT scores is not an effective predictor of college GPA, There are only 22.09% of variability in GPA can be explained by the model.

f) Positive, it means GPA is higher than model predicts

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Solve the equation:

To solve this expression we need to use inverse operations to solve equations, addition and subtraction are inverse operations, multiplication and division too.

Then,

Answer:

D

Step-by-step explanation:

Boom

Answer:

$2.50

Step-by-step explanation:

6…=15

1…=15/6

2.50

A change in the price of chicken, the good's own price, will cause a movement along the demand curve for chicken, a normal good, resulting in an increase in the quantity demanded.

The demand curve for chicken represents the relationship between the price of chicken and the quantity of chicken demanded by consumers. The law of demand states that there is an inverse relationship between the price of a good and the quantity demanded, holding all other factors constant. In other words, as the price of chicken decreases, the quantity demanded of chicken increases, and vice versa.

A movement along the demand curve for chicken occurs when there is a change in the price of chicken. When the price of chicken decreases, ceteris paribus, consumers are willing to purchase more chicken at the lower price, resulting in an increase in the quantity demanded along the demand curve. Conversely, when the price of chicken increases, consumers are willing to purchase less chicken at the higher price, resulting in a decrease in the quantity demanded along the demand curve.

Other factors that can shift the demand curve for chicken include changes in consumer income, the prices of substitute or complementary goods, and changes in consumer preferences. However, these factors cause a shift in the entire demand curve, rather than a movement along the curve.

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Answer:

√99, 9.8 repeating, π2

Step-by-step explanation:

hope this helped!

A circle can be defined as a geometric shape consisting of all points in a plane that are equidistant from a given point, which is known as the center. The distance between the center of the circle and any point on the circle is referred to as the radius.

In order to find the center and radius of a circle, we need to have three points on the circle's circumference, and then we can use algebraic formulas to solve for the center and radius. Let's look at the given problem to find the center and radius of the circle that passes through the points (-1,5), (5,-3), and (6,4).

Center of the circle can be determined using the formula:

(x,y)=(−x1−x2−x3/3,−y1−y2−y3/3)(x,y)=(−x1−x2−x3/3,−y1−y2−y3/3)

Let's plug in the values of the given points and simplify:

(x,y)=(−(−1)−5−6/3,−5+3+4/3)=(2,2/3)

Next, we need to find the radius of the circle. We can use the distance formula to find the distance between any of the three given points and the center of the circle:

Distance between (-1,5) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(2+1)2+(2/3−5)2=√10.111

Distance between (5,-3) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(5−2)2+(−3−2/3)2=√42.222

Distance between (6,4) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(6−2)2+(4−2/3)2=√33.361

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Answer:

53.7

Step-by-step explanation:

The area of the rectangular base is 7(2.3)=16.1.

So, the total volume is (1/3)(16.1)(10), which is about 53.7

Answer: B.

Step-by-step explanation:

Answer:

a) AB = XY

BC = YZ

CA = XZ

b) <A = <X

<B = <Y

<C = <Z

c) <X= 50°

Since <A= 50° and <A = <X

d) Measure of <C will be

<C + <A = 180°

<C + 50° = 180°

<C = 180° - 50°

<C = 130°

Hope it helps:)

Answer:

x = −70.5 there you go

Answer:

x = -70.5

Step-by-step explanation:

-0.16x - 9.3 = 1.98

-0.16x = 11.28

x = -70.5

We are given that the inside diameter of a piston ring is a random variable with mean value 10 cm and standard deviation 0.07 cm.

We are asked to find the sampling distribution of the sample mean diameter for two different random samples of n=16 and n=64 piston rings, respectively, and to calculate the standard deviation of each sampling distribution.

The sampling distribution of the sample mean diameter is the distribution of all possible sample means that could be obtained from a given sample size n.

The central limit theorem tells us that for large enough sample sizes (typically n ≥ 30), the sampling distribution of the sample mean is approximately normal, regardless of the shape of the underlying population distribution.

The mean of the sampling distribution of the sample mean is equal to the population mean, and the standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the sample size.

For the first random sample of n=16 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, as this is the population mean.

However, the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 16, which is 0.0175 cm. Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the first random sample is 0.0175 cm.

For the second random sample of n=64 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, but the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 64, which is 0.00875 cm.

Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the second random sample is 0.00875 cm.

Finally, we are asked which of the two random samples is more likely to have a sample mean diameter within 0.01 cm of 10 cm. Since the standard deviation of the sampling distribution of the sample mean decreases as the sample size increases, the second random sample of n=64 piston rings is more likely to have a sample mean diameter within 0.01 cm of 10 cm.

This is because the decreased variability of the sampling distribution means that the sample means are more tightly clustered around the population mean of 10 cm. Therefore, we can conclude that the second random sample is more precise than the first random sample.

In statistics, a random sample is a subset of a larger population that is selected in such a way that each member of the population has an equal chance of being included in the sample.

Random sampling is a crucial tool for drawing conclusions about a population based on a smaller subset of data. In this problem, we will explore the sampling distribution of the sample mean for two different random samples of piston rings.

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Answer:

option (4)

Step-by-step explanation:

The general form of a quadratic function is given by :

\(f (x) = ax^ 2 + bx + c\)

Where a,b and c are real numbers and a is nonzero.

Option (1)

\(f (x) = 3x^ 2 + 12x + 5\)

It is a quadratic function. Here, a = 3, b = 12 and c = 5

Option (2),

\(f (x) = x^ 2 + x + 1\)

It is a quadratic function where a = 1, b = 1 and c =1

Option (3),

\(f(x)=5x^ 2 + 8x\)

It can also be written as :

\(f(x)=5x^ 2 + 8x+0\)

It is a quadratic function where a = 5, b = 8 and c = 0

Option (4),

It can also be written as :

f(x) = 5x + 3

It is a linear function. It is not a quadratic function.

Hence, option (4) is the correct option. It is not a quadratic function.

Answer:

8 units

Step-by-step explanation:

Since both are on the same place in terms of the x-axis, this makes it much easier. Just go from (-1,4) and move upwards upon the graph until your at (-1,12). You counted 8 units. *mic drop*

Answer:

Step-by-step explanation:

8 because \(\sqrt{(-1+1)^{2}+{(12-4)^{2}}\) = sqrt(8^2), which equal 8

Answer:

its $375.70

Step-by-step explanation:

i guessed and got it right. good luck guys. love u. remeber to eat n drink water and try to spend some time outside if you can! i know its hard rn but we can do it! im proud of u all

The value of Erica's approximate monthly payment is $375.70. The correct option is C .

Rate of Interest is the rate at which a loan is borrowed or the rate at which an investment gives return .

It is given that

Student Loan Total =  $29,158

Rate of Interest = 9.4 %

Time Period = 10 years

The monthly payment is given by

\(\rm \dfrac{F p(i) }{ ( 1 - ( 1 + i )^{-n})}\)

Substituting the values in the equation

\(\rm = \dfrac{29158* (0.094/12) }{ ( 1 - ( 1 + (0.094/12) )^{-12*10})}\)

= $ 375.70

Therefore,The value of Erica's approximate monthly payment is $375.70. The correct option is C.

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Step-by-step explanation:

bc.............................................................

Answer:

CE = 35

Step-by-step explanation:

Δ CBD and Δ CAE are similar thus ratios of corresponding sides are equal, that is

\(\frac{CB}{CA}\) = \(\frac{CD}{CE}\) , substitute values

\(\frac{x-5}{x-5+6}\) = \(\frac{14}{14+2x + 3}\) , then

\(\frac{x-5}{x+1}\) = \(\frac{14}{2x +17}\) ( cross- multiply )

(x - 5)(2x + 17) = 14(x + 1) ← distribute both sides

2x² + 7x - 85 = 14x + 14 ( subtract 14x + 14 from both sides )

2x² - 7x - 99 = 0 ← in standard form

(x - 9)(2x + 11) = 0 ← in factored form

quate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - \(\frac{11}{2}\)

but x > 0 , thus x = 9

Hence

CE = 2x + 17 = 2(9) + 17 = 18 + 17 = 35

Answer:

$48,000

Step-by-step explanation:

Step one:

given data

Principal= $12,800

rate= 12.5%

time = 3 years

Required

The Interest

Step two

SImple interest= PRT/100

substitute

SI= 12800*12.5*3/100

SI=480000/100

SI=$48,000

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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