In a study of the fertility of married women, conducted by Martin O'Connell and Carolyn C. Rogers for the Census Bureau in 1979, two groups of married women between the ages of 25 and 29 were randomly selected and without children, and each was asked if she planned to have a child at some point. A group of women married less than two years and another of women married five years were selected. Suppose that 240 of 290 women married less than two years plan to have a child someday, compared to 292 of 400 women married five years. We can conclude that the proportion of women married less than two years who plan to have a child children is significantly greater than the proportion of women married for five years who also plan to have children? Use a p-value.

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

If each has 6 hours to spend baking, Katrina can produce 60 pizzas and 90 loaves of bread, while David can produce 48 pizzas and 96 loaves of bread.

To find out how many pizzas and loaves of bread each person can produce in 6 hours, we can multiply their hourly production rates by 6.
For Katrina:
In one hour, Katrina can produce 10 pizzas. So in 6 hours, she can produce 10 * 6 = 60 pizzas.
In one hour, Katrina can also produce 15 loaves of bread. So in 6 hours, she can produce 15 * 6 = 90 loaves of bread.
For David:
In one hour, David can produce 8 pizzas. So in 6 hours, he can produce 8 * 6 = 48 pizzas.
In one hour, David can also produce 16 loaves of bread. So in 6 hours, he can produce 16 * 6 = 96 loaves of bread.

Learn more about production rates

https://brainly.com/question/32418734

#SPJ11

Answer:

B) -510 per yr

Step-by-step explanation:

2005 = 14,550 CDs sold

2010 = 12,000 CDs sold

Difference in years = 2010 - 2005

= 5 years

Difference in CDs sold = 12,000 - 14,550

= - 4,550

Rate of change in the number of CDs sold = change in the number of CDs / change in years

= -4,550 / 5

= -510 per year

The correct answer is B) -510 per yr

Answer:

X > 7

Step-by-step explanation:

4(x + 3) < 6x – 2

4x + 12 < 6x -2

-6x            -6x

-2x + 12 < -2

-12           -12

-2x < -14

-----     -----

-2         -2

x > 7

The < change because it was divided by a negative number

The given inequality 6 > x + 1 > 3 is an "and" inequality.

Compound inequalities are kind of inequality expressions which consists of two or more simple inequalities.

"And" inequality represents that both the inequalities are true.

"Or" inequality represents that either of the statement is true.

Given inequality is,

6 > x + 1 > 3

Subtracting 1 from throughout the inequality,

6 - 1 > x > 3 - 1

5 > x > 2

This implies that x is less than  and x is greater than 2, for which the value of x are 3 and 4.

Hence the given inequality is an "and" inequality.

Learn more about Inequalities here :

https://brainly.com/question/29004091

#SPJ1

Answer:

Imao 5

Step-by-step explanation:

just divide

Answer:

5 cups.

Step-by-step explanation:

The egg to flour ratio is 7:35

If you narrow it down, it is 1:5

You have to divide it.

Answer:

B

Step-by-step explanation:

The y-intercept (which is 2 in this case) represents the initial value. In this context that means the number of pears at the start.

The x-values where the graph contacts the x-axis are known as the zeros in a parabola.

The zeros in this instance are 2 and 6. The vertical line that splits the parabola into two equally sized halves is the axis of symmetry.

By averaging the zeros, we can determine the axis of symmetry, which gives us a value of 4. This indicates that the vertical line at x = 4 is the axis of symmetry.

Thus, a crucial aspect of the parabola, the axis of symmetry gives the graph symmetry. It aids in our understanding of the vertex and opening direction of the parabola as well as its overall form and characteristics.

For more details regarding parabola, visit:

https://brainly.com/question/11911877

#SPJ1

Answer:

see below

Step-by-step explanation:

a. 1+3x = 3x + 1 --> infinite, it's the same thing

b. 4x + 1 = 3x + 2 --> x=1 one solution

c. 5x + 1 = 5x - 2 --> no solution. it's not possible

d. -3(x+1)=-3x+3 --> x=-1, one solution

Answer: y=-3m+13

Step-by-step explanation:

y=mx+c

m is the gradient

y=-3x+c

We know one point

-2=3(-5)+c

Solve for c

-2=-15+c

13=c

y=-3m+13

Answer:

x = 11

Step-by-step explanation:

Given

4(x - 7) = 2x - 6 ← distribute parenthesis on left side

4x - 28 = 2x - 6 ( subtract 2x from both sides )

2x - 28 = - 6 ( add 28 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

The dimension of the new classroom is 8 meters of length and 5 meters of width.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that,

Area of the classroom = 20 square meters

Let x be the length and y be the width of the classroom.

Area of a rectangular classroom = Length × Width.

So, we get an equation,

xy = 20

x = 20/y [Equation 1]

If length is increased by 3 meters and the width is increased by 1 meter, the classroom will double in area.

(x + 3) (y + 1) = 20 × 2

(x + 3) (y + 1) = 40  [Equation 2]

Substitute [Equation 1] in [Equation 2]

((20/y) + 3) (y + 1) = 40  

Multiplying,

20 + 3y + (20/y) + 3 = 40

3y + (20/y) = 40 - 23

3y + (20/y) = 17

Multiplying throughout by y,

3y² + 20 = 17y

3y² - 17y + 20 = 0

3y² - 12y - 5y + 20 = 0

3y (y - 4) - 5 (y - 4) = 0

(3y - 5) (y - 4) = 0

3y - 5 = 0 or y - 4 = 0

y = 5/3 or y = 4

Let y = 4, then x = 20/4 = 5

Dimension of the new classroom is (x+3) = 8 meters and (y+1) = 5 meters

Hence the dimension of the new classroom is 8 meters and 5 meters.

Learn more about Area here :

https://brainly.com/question/11952845

#SPJ9

The 23rd parallel south is tangent to the circle of light on or around June 21 in the southern hemisphere.

The circle of illumination on or about June 21 in the southern hemisphere is the Tropic of Capricorn. The Tropic of Capricorn is tangent to the 23rd parallel south .A hypothetical circle of latitude in the southern hemisphere is known as the Tropic of Capricorn. It designates the northernmost location on Earth where the sun may be seen directly overhead on June 21, when it is at its zenith. The counterpart to this circle of illumination that is perpendicular to it is the Tropic of Capricorn. 23 degrees south of the equator marks the location of this parallel. The southernmost of the five main circles of latitude used to label Earth's surface on maps is the Tropic of Capricorn. Chile, Argentina, Brazil, Namibia, Botswana, Zambia, Mozambique, Madagascar, and Australia are among the nations it traverses. The Southern Tropics, where the sun can be directly above at least once a year, are located, while the Tropic of Capricorn serves as their northern boundary. The northernmost point on Earth where the sun can be directly above at its zenith on or around June 21 in the southern hemisphere is the 23rd parallel south, which is a line of latitude that is tangent to the Tropic of Capricorn.

Learn more about parallel here

https://brainly.com/question/16701300

#SPJ4

Answer:

The value of \(x\) :

\(x = 9\)

Step-by-step explanation:

-Solve for \(x\) :

\(x =- 15 = -6\)

-Add both sides by 15:

\(x - 15 + 15 = -6 + 15\)

\(x = 9\)

Now, you have found the answer.

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Without the specific parametric equations, it is not possible to find y or x expressed as functions of t, nor determine the concavity of the curve.

Given a set of parametric equations, we are asked to find (a) y expressed as a function of t, (b) x expressed as a function of t, and (c) determine whether the curve is concave up or concave down, except for the points where it is undefined. To find y expressed as a function of t, we examine the given parametric equations. However, the specific parametric equations are missing from the provided information. To determine y as a function of t, we need the equation that relates y to t.

Similarly, to find x expressed as a function of t, we need the equation that relates x to t. Without the parametric equations, we cannot provide an answer to this part. To determine whether the curve is concave up or concave down, we need the second derivative of either x or y with respect to t. However, since the parametric equations are not given, we cannot calculate the second derivative and determine the concavity of the curve.

To learn more about parametric equations click here: brainly.com/question/29275326

#SPJ11

Answer:

\(\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}\)

Step-by-step explanation:

We want to find all solutions to the equation:

\(\displaystyle \sin 2x - 1 = 0\)

In the interval [0, 2π).

First, add one to both sides:

\(\displaystyle \sin 2x = 1\)

Recall that sin(u) equals one whenever u = π/2. This will occur for every rotation. Hence, we can say that u = π/2 + 2nπ where n is an integer.

And in this case, u = 2x. Thus:

\(\displaystyle 2x = \frac{\pi}{2} + 2n\pi\text{ where } n\in\mathbb{Z}\)

Dividing both sides by two yields:

\(\displaystyle x = \frac{\pi}{4} + n\pi \text{ where } n\in \mathbb{Z}\)

There are two values of x in the interval [0, 2π) given when n = 0 and n = 1:

\(\displaystyle x _ 1= \frac{\pi}{4} \text{ and } x_2 = \frac{\pi}{4} + (1)\pi = \frac{5\pi}{4}\)

Any other solutions will be outside our interval.

Therefore, our solutions are:

\(\displaystyle x = \frac{\pi}{4} , \frac{5\pi}{4}\)

Answer:

7.99

Step-by-step explanation:

using the formula

\(v = \pi \: r ^{2} h \)

\(3014.4 = 22 \div 7 \times r ^{2} \times 15\)

\(21100.8 = 22 \times 15 \times r {}^{2} \)

\(21100.8 = 330 \times r {}^{2} \)

\(21100.8 \div 330 = r {}^{2} \)

\( \sqrt{63.94 }= r\)

\(r = 7.99ft \: answer\)

The note, dated August 18 and due on March 9, runs for a total of 203 days.

The note's duration can be calculated by finding the difference between the due date (March 9) and the date it was issued (August 18). In this case, there are 203 days between these two dates.

A note is a financial instrument that represents a promise to pay a specific amount of money at a future date. In this scenario, the note in question was issued on August 18 and is due on March 9. The duration of the note is determined by the number of days between these two dates. By counting the days, we find that the note runs for a total of 203 days. This period represents the time frame within which the issuer is obligated to repay the amount specified in the note. The duration of the note is an important factor for both the issuer and the holder, as it influences the terms and conditions of the agreement, including any applicable interest rates and repayment schedules.

Learn more about financial here:

https://brainly.com/question/28319639

#SPJ11

formula for the tangent line is y=x-1 and differentiation of ln(x) is 1/x

A straight line without crossing the curve , it touches the curve at one single point is called tangent . Finding the derivative of a function or a variable in mathematics is called differentiation.

The ratio of the vertical to the horizontal distance between any two points on it  is called slope of ray or line or line segment in analytical geometry.

y-y1 = m(x-x1)

If the function passes through (1,0)  and the slope equals to 1 is:

y-0 = 1(x-1)

y=x-1

Learn more about tangent here:

https://brainly.com/question/19064965

#SPJ4

Tangents are straight lines that only touch curves at a single spot rather than crossing them. Differentiation in mathematics refers to the process of determining a function's or variable's derivative.

The slope of a ray, line, or line segment in analytical geometry is the ratio of the vertical to the horizontal distance between any two locations on it.

y-y1 = m(x-x1) (x-x1)

If a function goes through the point (1, 0) and its slope is 1, then:

y-0 = 1(x-1) (x-1)

y=x-1

The arc length is L = 8.831t.

If the curve has position vector p(x) for value of x ranging from x = a to x = b,

then, the curve's length is calculated as:

\(L = \int_a^b ||p'(x)||dx\\\)

You have the following vector:

r(t) = (4 + 5t)i + (8 + 2t)j + (2 - 7t)k, -1sts

r(t) = {(4 + 5t), (8 + 2t), (2 - 7t)}

To find the arc length you use the following formula:

\(L= \int\limits^a_b( {\dfrac{dx}{dt})^2+( {\dfrac{dy}{dt})^2+( {\dfrac{dz}{dt})^2 } \, dt\)   (1)

Where dx/dt, dy/dt and dz/dt are the components of the vector dr/dt.

Then, we have to calculate dr/dt:

dr/ dt = (5, 2 -7)

Next we have to replace in the integral of the equation (1):

\(L = \int\limits^t_0 {\sqrt{5^2 +2^2 + (-7)^2} } \, dx\)

L = 8.831t

Hence, the arc length is L = 8.831t.

The complete question is

"Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s= V(T) dt. Then find the length of the indicated portion of the curve.

r(t) = (4 + 5t)i + (8 + 2t)j + (2 - 7t)k, -1sts"

Learn more about concept;

https://brainly.com/question/16833144

#SPJ1

Answer:

1).

A. Reflection across the y axis.

2).

A. Clockwise rotation about point B and a translation 20 units down.

The sequence of transformation that can be performed on quadrilateral

ABCD to show that is congruent to GHIJ is a B. 90 degree counter

clockwise rotation about point A  followed by a B. Reflection across the y-

axis and a translation 20 units down

Reasons:

The coordinates of the point (x, y) following a rotation of 90°

counterclockwise is the point (-y, x)

Taking point A as the origin

The coordinates of point A = (15, 10)

Coordinates of the points B, relative to the point A = (0, 10)

Coordinates of the points C, relative to the point A = (5, 5)

Coordinates of the points D, relative to the point A = (5, -5)

The location of the image of point B, following a rotation about the point A, is therefore;

B'(-10 + 15, 0 + 10) = B'(5, 10), C'(-5 + 15, 5 + 10) = C'(10, 15), D'(5 + 15, 5 + 10) = D'(20, 15)

The coordinates of the image of the point (x, y), following a reflection

across the y-axis is the point (-x, y). The coordinates of the parallelogram

A'B'C'D' following a reflection across the y-axis are the point B''(-5, 10),

C''(-10, 15), D''(-20, 15) A''(-15, 10). The coordinates of the quadrilateral GHIJ

are; G(-15, -10), H(-5, -10), I(-10 - 5), J(-20, -5)

The x-coordinates of the quadrilaterals A''B''C''D'', and GHIJ are the same,

therefore, we translate A''B''C''D'', 20 units down to get;

B'''(-5, -10), C'''(-10, -5), D'''(-20, -5) A'''(-15, -10)

Coordinates of A'''(-15, -10) = G(-15, -10)

Coordinates of B'''(-5, -10) = H(-5, -10)

Coordinates of C'''(-10, -5) = I(-10 - 5)

Coordinates of D'''(-20, -5) = J(-20, -5)

Therefore;

The sequence of transformation that can be performed on quadrilateral

ABCD to show that is congruent to GHIJ is a;

Followed by a;

Learn more here:

https://brainly.com/question/1593448

A. The number of red balls he had was 8  at the beginning.

Duke's starting red ball total can be found by setting up a system of equations. First, let x represent the number of red balls and y represent the number of blue balls.

After 5 days, the equation is x-15=y+10. This equation states that after 5 days, the number of red balls (x) minus 15 will equal the number of blue balls (y) plus 10. After 9 days, the equation is x-27=2y+20.

This equation states that after 9 days, the number of red balls (x) minus 27 will equal twice the number of blue balls (y) plus 20. To solve for x, both equations can be set equal to each other and solved. This results in x=8. Therefore, Duke had 8 red balls at the beginning.

For more questions like Equation click the link below:

https://brainly.com/question/29657992

#SPJ4

Answer:

3 feet tall

Step-by-step explanation:

Answer:

x = 14.6

x = 6.4

Step-by-step explanation:

Trig identities:

\(sin(x)=\dfrac{O}{H} \ \ \ \ \ cos(x)=\dfrac{A}{H} \ \ \ \ \ tan(x)=\dfrac{O}{A}\)

where

\(sin(55)=\dfrac{12}{x}\\\\\implies x=\dfrac{12}{sin(55)}\\\\\implies x=14.6\)

\(tan(62)=\dfrac{12}{x}\\\\\implies x=\dfrac{12}{tan(62)}\\\\\implies x=6.4\)

The correct option for the midpoint of the line segment , where (-1,-2) and (4,-2), is  (1.5,-2).

To find the midpoint of a line segment, we use the midpoint formula, which states that the coordinates of the midpoint (M) are the average of the coordinates of the endpoints.

The midpoint formula is given by:

M = ((x1 + x2) / 2, (y1 + y2) / 2)

Let's apply this formula to find the midpoint of the line segment AB:

x1 = -1, y1 = -2 (coordinates of point A)

x2 = 4, y2 = -2 (coordinates of point B)

Using the midpoint formula:

M = ((-1 + 4) / 2, (-2 + (-2)) / 2)

 = (3 / 2, -4 / 2)

 = (1.5, -2)

Therefore, the midpoint of the line segment , with endpoints (-1,-2) and (4,-2), is (1.5, -2).

For more such questions on midpoint

https://brainly.com/question/30276996

#SPJ8

The distance of the car from the tall building to the nearest meter is 23m.

Given the data in the question;

We use trigonometric ratio since the scenario forms a right angle triangle.

tanθ = opposite / adjacent

tanθ = opposite / adjacent

tan( 35° ) = 16m / x

x = 16m / tan( 35° )

x = 16m / 0.7002

x = 23m

Therefore, the distance of the car from the tall building to the nearest meter is 23m.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

The value of tan(t−π) is 4/9.

According to the statement

we have given that  tan(t)=4/9 and we have to find the value of tan(t−π).

So,

tan(t−π)  -(1)

take negative sign common from equation (1) it then

tan(t−π) = -tan(-t+π)

and we know that the according to the mathematics formula it become

tan(-t+π) is -tan t

then

tan(t−π) = -(-tan t)

it becomes

tan(t−π) = tan t

then its value becomes

tan(t−π) = tan(t)=4/9.

because we have given that the value of tan t is tan(t)=4/9.

So, The value of tan(t−π) is 4/9.

Learn more about the TRIGONOMETRY here https://brainly.com/question/24349828

#SPJ4

The volume of the parallelepiped is 80 cubic inches.

To find the volume of the parallelepiped, we need to multiply the area of the base by the height. We are given that two parallel sides of the base are 5 inches long and 2 inches apart, which means that the base is a parallelogram with base length of 5 inches and height of 2 inches. The area of the base is therefore:

Area of base = base length x height = 5 inches x 2 inches = 10 square inches

The height of the parallelepiped is given as 8 inches. Therefore, the volume of the parallelepiped is:

Volume = area of base x height = 10 square inches x 8 inches = 80 cubic inches

Know more about volume here:

https://brainly.com/question/1578538

#SPJ11