Use wage data (Data is posted on blackboard) to estimate the following model and answer the questions: Wage= Bo+ Bi educ+ B2 exper+B3 gender +B4 race+Bs gender*exper+E Gender=1 for male and gender=0 for female Race=1 for white and race=0 for non-white 1- Interpret all the coefficients. 2- Is there a significant wage difference between white and non-white? at a=0.05 3- Test for global usefulness of the model at a=0.05. 4- Test if the experience is a significant determinant of wage at a=0.10.

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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9514 1404 393

Answer:

  84 in

Step-by-step explanation:

The Pythagorean theorem is used to find the length 'b'.

  b^2 +12^2 = 37^2

  b = √(37^2 -12^2) = √1225 = 35

Then the perimeter is the sum of side lengths:

  P = a + b + c = 12 + 35 + 37

  P = 84 . . . inches

Answer:

in triangle

b=√(37²-12²)=35

perimeter of the triangle.=sum of all side

=37+12+35=84in

Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

The inequality that describes the given word problem is;

x + 1.5 < 48

Let x represent how tall Keenan was last summer. Thus;

x = Keenan's height last summer in inches

If he was x inches last summer, and has since grown an additional 1.5 inches up to date, then it means that his total height now is;

x + 1.5 inches.

The conditons state "riders must be at least 48 inches tall to ride the Night Eagle roller coaster". So it means that his height must be equal to 48 inches, or larger than 48 inches, to make him eligible to ride the roller coaster.

But since he is still too short to ride, this means the expression x+1.5 is smaller than 48 and as such the inequality of this problem is;

x + 1.5 < 48

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cos 30° can be evaluated using the trigonometric identity: cos 30° = cos(π/6) = (√3)/2.

Therefore, the exact value of cos 30° is (√3)/2.

Answer:

cos30 = √3 / 2

or cos30 ≈ 0.8660254037

The exponential decay can be written as:

y = 550mg*(1 - 0.066)^t

A general exponential decay can be written as:

y = A*(1- r)^x

Where A is the initial amount, r is the rate of decay, and x is the variable.

Here we know that we start with a sample of 550 mg, and this sample decays at a rate of 6.6% per year.

Then the amount of sample that we have after t years is given by the exponential decay:

y = 550mg*(1 - 0.066)^t

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The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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Answer:  k = {8, -8}

Step-by-step explanation:

In order for a quadratic equation to have exactly one solution, the discriminant must equal zero.       →        b² - 4ac = 0

  4x² + kx + 4 = 0

  ↓       ↓      ↓

a=4    b=k    c=4

b² - 4ac = 0

k² - 4(4)(4) = 0

k²             = 64

           k = √64

           k = ± 8

the circle is in the third quadrant and its coordinate of the centre is,

Q(-4,-5)

now after the translation of the circle into first quadrant,

its coordinate of the centre will be Q' (4,5)

thus, the equation of the translation is,

Q(x,y) ---> Q' (-x , - y)

thus, the correct answer is option C

(x,y) ----> (-x, -y))

Answer:

2,154,600

Step-by-step explanation:

Answer:

m=-2 and b=3

Step-by-step explanation:

One way to find slope is to use rise over run (most useful when there is a graph). First find any two points along the line where it intersects with a point on the grid. (1,1); (2,-1) and (3,-3) are some examples. Then count how many spaces vertically and then horizontally it takes to get to the next point. In this case it is two spaces down (rise) and 1 space right (run). So rise/run = 2/1 =2. That is your slope. Because it is pointing downwards or decreasing we know it is a negative slope.

The y-intercept is just where the line intercepts with the y-axis. In other words, when x=0 what does y equal? Here it is 3.

Answer:

(100/500) *200 =40%

Step-by-step explanation:

Answer: The function is odd because f(–x) = –f(x).

Step-by-step explanation:

\(f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)\)

The function is odd because f(–x) = –f(x).

The function is given as:

f(x) = 6x^7

A function is odd if the following is true

f(-x) = -f(x)

Calculate f(-x)

f(-x) = 6(-x)^7

f(-x) = -6x^7

Calculate -f(x)

-f(x) = -6x^7

By comparison;

f(-x) = -f(x) = -6x^7

Hence, the function is odd because f(–x) = –f(x).

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The way that zeros of a polynomial function is related to the equation and graph of a function because they act as solutions to the equation and also x-intercepts of a graph.

When the quadratic equation's graph crosses the x-axis, those points are known as the zeros of the equation.

The graph's x-intercepts and a function's zeros are the same thing. If the zero of f has an odd multiplicity, the graph of f will cross the x-axis at that x value. The x-axis will be touched by the graph of f if it has an even multiplicity zero.

Hence, A polynomial's zeros are the answers to any equation such as p(x) = 0, where p(x) stands for the polynomial. Since the values of x where y = 0 if we graph this polynomial as y = p(x). In other words, these are the graph's x-intercepts.

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Answer:

it would be y since both are common there

Answer

b: 2.5

Step-by-step explanation:

because my dad said so

The area of rectangle is 96in2 which is option A.

To find the area of the rectangular face, we need to find the length and width of the rectangle, and then multiply them together.

The length of the rectangle is the distance between the points (-5,8) and (3,8), which is 8 - (-4) = 12 inches.

The width of the rectangle is the distance between the points (-5,8) and (-5,-4), which is 3 - (-5) = 8 inches.

Therefore, the area of the rectangular face is 12 x 8 = 96 square inches.

So the answer is 96 in².

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Answer:

1

Step-by-step explanation:

The value of the expression 9 - 3/1/3 + 1 will be 1.

What is Mathematical  expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 9 - 3/1/3 + 1

Now,

Solve the expression as;

The expression is,

⇒ 9 - 3/1/3 + 1

⇒ 9 - 3 × 3 + 1

⇒ 9 - 9 + 1

⇒ 1

Thus, The value of the expression 9 - 3/1/3 + 1 will be 1.

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Jennifer earns $9.15 per hour as a lifeguard at the pool.

Given that,
Jennifer is a lifeguard at the same pool. She earns $137.25 for 15 hours of lifeguarding how much does Jennifer earn per hour is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
She earned $137 in 15 hours,
Per hour earning = 137 / 15 = $9.15

Thus, Jennifer earns $9.15 per hour as a lifeguard at the pool.

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Given:

Radius, r = 7.5 in

Cost of lead = $0.36 per in³

Let's determine how much it will cost to make one ball.

Answer:-3

Step-by-step explanation:

Given

F(x)=-3 x +5

in the interval x=-1 to x=1

Average rate of change is given by

over x=a to x=b

F(1)=-3+5=2

F(-1)=3+5=8

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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Answer:

events at A and B are independent because P(A)(B)≠P(A)

The approximation of 341.12 to 1 decimal place is 341.1.

To approximate 341.12 to 1 decimal place, you can follow these steps:

For example, if you want to approximate the number 341.12 to 1 decimal place, follow these steps:

341.12 * 10 = 3411.2

Round 3411.2 to the nearest whole number, which is 3411.

3411 / 10 = 341.1

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Answer:

341.1

Step-by-step explanation:

When you round to the first decimal place, or to the nearest tenth, the number in the hundredth point place will determine whether you round up or down. If the hundredths digit is a number between 5 and 9, round up to the nearest whole number. If it's a number between 0 and 4, you would "round down" by keeping the tenths place the same.

341.12

The number in the hundredths place is 2, which means that we would round down the first decimal place by keeping it the same:

341.1

The correlation coefficient is -0.4124

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

The table of values

Next, we enter these values in a graphing tool, where we have the following summary

X Values

∑ = 52

Mean = 6.5

∑(X - Mx)2 = SSx = 42

Y Values

∑ = 93

Mean = 11.625

∑(Y - My)2 = SSy = 7567.875

X and Y Combined

N = 8

∑(X - Mx)(Y - My) = -232.5

For the coefficient, we have

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -232.5 / √((42)(7567.875)) = -0.4124

Hence, the value is -0.4124

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Answer: 18

Step-by-step explanation:

Yessssir I did the math

The correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."

More precisely, if f is a function that maps elements from a set A to elements in a set B, then the inverse function of f, denoted as f^(-1), is a function that maps elements in set B back to elements in set A.

The given statement is: "If x equals 3, then 2b + 5 equals 11."

Therefore, the correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."

The inverse function f^(-1) is defined such that f(f^(-1)(x)) = x for all x in B, and f^(-1)(f(x)) = x for all x in A. In other words, applying the inverse function to the output of the original function returns the input value.

The existence of an inverse function depends on the properties of the original function. For example, a function must be one-to-one (or injective) to have an inverse function, which means that each input maps to a unique output. If a function is not one-to-one, then its inverse function may not exist or may have limited domain and range.

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