the probability that a woman with two children either has two girls or two boys is 0.5048. what is the probability that she has one child of each sex? (give the answer to four decimal places.)

The point that does not lie on the curve y = x² is given as follows:

A. (3/2, 9/2).

The function for this problem is defined as follows:

y = x².

Hence all the points in the graph of the function have the following format:

(x, x²).

Meaning that the y-coordinate is the square of the x-coordinate.

The square of 3/2 is given as follows:

(3/2)² = 3²/2² = 9/4.

Hence when x = 3/2, y = 9/4, and thus option A gives the point that does not lie on the curve.

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Based on their sharing ratio of 4:3, when Mike gets £ 75 less than Harvey, the total amount of money shared is $525.

The total amount being shared between Harvey and Mike is determined using the arithmetic of ratios.

Firstly, we determine the sum of ratios as 7.  Since Mike's share is 3/7, which is less by £75 than Harvey's share, which is 4/7, we find the difference as 1/7 and equate it to £75.

Proportionately, if 1/7 equals £75, the total sum being shared will be equal to $525 (£75 x 7/1)

Sharing ratio between Harvey and Mike = 4:3

Sum of ratios = 7

Let the amount Harvey gets = x

x = 4/7

Let the amount Mike gets = x - 75

x - 75 = 3/7

4/7 - 3/7 = 1/7

1/7 = £75

7 = £525 (£75 x 7/1)

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The polynomial f(x) = x⁷ - x⁵ + 5x - 1 has 4 terms and the highest degree is 7

A polynomial is a mathematical expression consisting of variables and coefficients, which are combined using only addition, subtraction, and multiplication.

Term: A term in a polynomial is a single expression that can be added or subtracted to the other terms in the polynomial. A term consists of a coefficient multiplied by one or more variables raised to a power. For example, the term "3x^2" in the polynomial 3x^2 + 2x + 1 is a single term.

Coefficient: A coefficient in a polynomial is a numerical value that multiplies a variable or a set of variables in a term. In the example "3x^2", the coefficient is 3. A coefficient can be a constant value, such as 2 in the term 2x, or a variable, such as x in the term x^2. The coefficient in a polynomial determines the magnitude and the sign of each term in the polynomial.

In the polynomial given;

f(x) = x⁷ - x⁵ + 5x - 1

The term in the polynomial is 4 and the degree of the polynomial is 7 while the leading coefficient is 1

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55 balls can be stacked in a pile with a triangular base having 10 balls on each edge. So, the answer is B. 55.

To determine the number of balls that can be stacked in a pile having a triangular base with 10 balls on each edge, we can use the formula for the triangular number sequence:

n(n+1) ÷ 2

where n is the number of balls on each edge of the triangular base. In this case, n = 10, so we have:

10(10+1) ÷ 2 = 55

So the answer is B. 55 balls can be stacked in a pile with a triangular base having 10 balls on each edge.

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Answer:

10 packages

Step-by-step explanation:

To find the number of 4 yard packages for the fencing, we need to find the perimeter of the fence.

Perimeter = 2*(20 + 40)

Perimeter = 2*60 = 120 feet

*It is important to note that the perimeter is in feet and the packages are in yards*

4 yards = 12 feet

120 / 12 = 10 packages

A polygon with the given area is given below.

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

We have to draw a triangle of area 15 unit².

Area of the triangle = [tex]\frac{1}{2}[/tex] × Base × Height

[tex]\frac{1}{2}[/tex] × Base × Height = 15

Base × Height = 30

Let base = 6 units, height = 5 units

We can draw a right triangle this way as shown below.

If we are starting from the point A(0, 0), a length of base of 6 units will be a line segment from A(0, 0) to B(6, 0).

If the height is 5 units, draw a line segment from B(6, 0) to C(6, 5).

Join A to C.

Hence the required triangle is shown below.

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A graph which represents this situation include the following: B. graph with the x axis labeled number of classes and the y axis labeled monthly amount in dollars and a line going from the point 0 comma 30 through the point 1 comma 40.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

In Mathematics, the y-intercept is also referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

In this scenario, the y-intercept of this equation can be calculated as follows;

y = 30 + 10x

y = 30 + 10(0)

y = 30

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The answer is option (C) increases. If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again increases.

This is called the law of effect, which states that behaviors with positive outcomes are more likely to be repeated in the future.

When a response is followed by a satisfactory outcome, the person is more likely to associate that response with a positive outcome and is more likely to repeat that response in future situations.

This law is based on the concept of reinforcement, ie when an environmental stimulus favors the repetition of a behavior. This law was first proposed by psychologist Edward Thorndike in the early 20th century.

Full question:

If a stimulus plus a response results in a satisfying outcome, the probability of that response occurring again ________.

A. decreases.

B. depends on the CS-UCS relationship.

C. increases.

D. is not affected.

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Answer:

Step-by-step explanation:

To find the sine of angle M, we can use the sin function, which relates the sides of a right triangle to the sine of one of its angles. In this case, we have a right triangle with sides MO, NM, and ON, so we can use the following formula:

sin(M) = MO / ON

We know that MO = 8 and ON = 15, so we can calculate the sine of angle M as follows:

sin(M) = 8 / 15

So, the ratio that represents the sine of angle M is 8/15.

Answer:

Step-by-step explanation: Ok so, to simplify the expression, you have 2 know that 2 negatives next to each other is positive, so you add 4z + 3z which gives you 7z.

Answer:

True

Step-by-step explanation:

Take the square of 3, for example. The answer is 9. If you find its square root, the square root is 3, showing it is true.

Answer: True.

Step-by-step explanation: One thing to be careful of though is when solving equations. When you square values and square root them later, you are opening the door for extraneous solutions. But yes, Squaring and square rooting a value will undo the process and result in the original number.

Answer:

BELOW

Step-by-step explanation:

For RIGHT TRIANGLES   sin (L ) = opposite LEG / Hypotenuse

sin (L ) = 21/35 = 3/5

Answer:

31.3 m/s

Step-by-step explanation:

v² = v₀² + 2aΔx

v² = 0 + 2(9.8 m/s²)(50 m)

v² = 980 m²/s²

v = √ 980 m²/s² = 31.3 m/s

Notes:  ball starts from rest, so v₀ = 0; ball is in free fall, so a = g = 9.8 m/s²; objects in free fall accelerate at the same rate, g, independent of mass.

The height of the wall is 3.10 meters

It is important to note the six types of trigonometric identities, they are;

From the information given, we have that;

θ = 15 degrees

Hypotenuse= 12 meters

Opposite side = top of the wall

Let's use the sine identity;

sin 15 = x/12

cross multiply

Find the value

0. 2588(12) = x

Multiply the values

x = 3.10 meter

Hence, the value is 3.10 meters

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On solving the provided question, we can say that the equation are cost of producing t units is C = 3t2 + 8t, revenue generated from sales is R = 4t2 + t if t>0 then C = 43t and is t>7 then C =D = 32t

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation are

cost of producing t units is C = 3t2 + 8t,

revenue generated from sales is R = 4t2 + t

if t>0

then C = 43t

and is t>7

then C =D = 32t

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From the given figure, conclude that ∠VWZ = 27°. This can be solved by using SAS theorem.

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle. Congruent refers to figures that are similar in all respects, primarily in terms of size and shape. Congruence describes how two congruent figures relate to one another.

From the given picture, it is clear that WXYV is a rectangle.

∠VYX = 90°

As we know, ∠YVX + ∠VYX + ∠VXY = 180°

or, 5x - 12° + 90° + 2x - 3° = 180°

or, 7x = 180° - 90° + 15°

or, 7x = 105°

or, x = 15°

thus, ∠VXY = 2x - 3° = 27°

next comparing ΔVYX and ΔYVW we get:

VY = VY

WV = XY

So, ∠VYX = ∠XVW = 90°

From SAS theorem,

ΔVYX ≅ ΔYVW

∠VWX = ∠VXY = 27°

Thus, ∠VWX = 27°

and ∠VWX and ∠VWZ is same.

Therefore, ∠VWZ = 27°

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Answer:280 is the greatest value for this situation.

It cost 35 dollars per half hour to rent the JetSki. This means to rent the ski for one full hour, you would pay 70 dollars.

If you can rent the Jetski at a max of 4 hours this would be 70 x 4 which is 280. Lastly we must add in an insurance fee, which is a one time cost. 280 +15 is 195. This means our greatest value is 280, while the cheapest would be 50. (35+15)

I hope this helps & Good Luck <3 !!!

The length of the model is 3.33 feet and the wingspan is 1.87 feet, which are reasonable and manageable sizes for a model of this type.

What is scale conversion?

Scale conversion is the process of determining the size of a model based on the size of the original object being modeled.

One way to determine a reasonable scale for the model is to consider the desired size of the model relative to the actual size of the plane. For example, if we want the model to be 1/30th the size of the actual plane, we can use the following formula to find the length and wingspan of the model:

Model length = Actual length ÷ Scale factor

Model wingspan = Actual wingspan ÷ Scale factor

Using these formulas, the length of the model would be:

Model length = 96 feet + 8 inches ÷ 30 = 3 feet 4 inches ÷ 30 = 3.33 feet

And the wingspan of the model would be:

Model wingspan = 56 feet ÷ 30 = 1.87 feet

The reason for choosing a 1/30th scale factor is that it results in a model that is relatively small but still large enough to show the details of the design. It also provides a good balance between size and detail, allowing the model to be easily handled and displayed while still showcasing the key features of the actual plane.

Using this scale, the length of the model is 3.33 feet and the wingspan is 1.87 feet, which are reasonable and manageable sizes for a model of this type.

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Answer: (i) To find the total weight of compost required:

First, find the volume of one bowl: We can use the formula for the volume of a sphere to find the volume of one hemispherical bowl. The radius of the sphere is equal to half the diameter of the bowl, which is 21 cm / 2 = 10.5 cm. The volume of one hemispherical bowl is given by the formula (4/3)πr^3/2, where r is the radius. Plugging in the values, we get:

(4/3)π(10.5)^3/2 = (4/3) * (22/7) * (10.5)^3/2 = 532.8 cm³

Multiply by the number of bowls: To find the total volume of compost required, multiply the volume of one bowl by the number of bowls: 532.8 cm³ * 16 bowls = 8544.8 cm³

Multiply by the weight of compost per cm³: To find the total weight of compost, multiply the total volume by the weight of compost per cm³: 8544.8 cm³ * 2.31 gm/cm³ = 19824.9 gm = 19.82 kg

So, the total weight of compost required is 19.82 kg.

(ii) To find the amount of polythene required:

First, find the circumference of one bowl: The circumference of the circle is equal to 2π times the radius. So, the circumference of one bowl is 2π * 10.5 cm = 21π cm.

Find the length of the polythene: To find the length of the polythene, we need to find the length of the curved surface of the bowl. We can use the formula for the circumference of a circle, which is 2πr, where r is the radius. The curved surface of the bowl is half the circumference of the circle, so the length of the polythene is 21π cm / 2 = 10.5π cm.

Multiply by the number of bowls: To find the total length of the polythene, multiply the length of one bowl by the number of bowls: 10.5π cm * 16 bowls = 168π cm = 528 cm (rounded to the nearest cm)

So, the total amount of polythene required is 528 cm.

Step-by-step explanation:

The pie chart for this problem is given by the image presented at the end of the answer.

A pie chart is constructed in pizza format, considering the percentages of each input data in the problem.

A percentage is calculated as the division of the number of desired outcomes by the number of total outcomes, and then multiplied by 100%.

The percentages for the data-set in this problem is given as follows:

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The bearing of the flight from Elgin to Canton is 231.23°. The solution has been obtained by using law of sines.

What is law of sines?

The ratio of the side length to the sine of the opposing angle is how the law of sines is typically defined. That is true for all three triangle sides, regardless of their sides and angles.

Let the angle formed at Canton be C.

The angle formed at Naples =  90 - 44 = 46°

Using law of sines,

⇒sin (46 ) / 720  =  sin C / 500

⇒500 * sin ( 46 ) / 720  =  sin C

⇒arcsin ( 500 * sin (46) / 720 )  = C  

⇒C ≈ 38.77°

The bearing angle (clockwise from north) of the flight from Elgin to Canton is calculated as follows:

⇒270° - 38.77°

⇒231.23°

Hence, the bearing of the flight from Elgin to Canton is 231.23°.

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The figure of the question has been attached below.

Jenna will have total money, y= 166 + 23x.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Jenna had saved $166.

She will earn $23 per day of work

If x represents the number of days she works the she will earn

= 23x

So, She will have total

= 166+ 23x

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Answer: 60

A triangle can only be 180 degrees so if one side is 60 so is the other two sides

The total amount paid for a credit card purchase of $756.25 at an annual rate of 24.5% and monthly repayment of $100, until the balance is paid off, is $829.79.

The total amount paid by the car owner can be determined using an online finance calculator, setting the following parameters.

The total amount paid includes the principal and the interest for the credit.

The payment period will last for 8 months and some days.

I/Y (Interest per year) = 24.5%

PV (Present Value) = $756.25

PMT (Periodic Payment) $-100

Results:

N = 8.298

Sum of all periodic payments = $829.79

Total Interest = $73.54

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The number of different ways that 7 guests can be seated is 720 and 5 guests can be seated is 24.

In mathematics, Placing the elements of a set into a certain sequence or order is known as permutation. In other terms, the process of permuting is reordering of the elements of a set if the set is already ordered.

In the case of a round table, the formula for the number of ways that 'n' elements can be arranged is (n - 1)!

Here we have

There are 7 guests and a round table.

By the given formula,  

No of different ways that 7 guests can be seated = (7 - 1)! = 6!

= 6 × 5 × 4 × 3 × 2 × 1  

= 720  

If they are only 5 people

No of different ways that 5 guests can be seated = (5 - 1)! = 4!

= 4 × 3 × 2 × 1  

= 24

Therefore,

The number of different ways that 7 guests can be seated is 720 and 5 guests can be seated is 24.

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Answer:

$36.55

Step-by-step explanation:

$33.75 x 2 = $67.50

$67.50 (two shirts) + $45.95 (pair of trousers) = $113.45 (the amount of money spent)

Subtract that from the budget of $150...

$150-$113.45= $36.55 left bro

Answer:

$36.55

Step-by-step explanation:

$33.75 x 2 = $67.50

$67.50 + $45.95 = $113.5

$150-$113.45= $36.55

The answer is $36.55

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Factorized form of polynomial is 3(−b²c+bc²−c²a+ca²−a²b+ab²).

This process of finding two or more expressions whose product is the given expression is known as the factorization of algebraic expressions.

Given polynomial

(b - c)³ + (c - a)³ + (a - b)³

Factoring the polynomial

Calculation is attached below.

we get,

3(−b²c+bc²−c²a+ca²−a²b+ab²)

Hence,

3 and (−b²c+bc²−c²a+ca²−a²b+ab²) are factors of given polynomial.

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The minimum frequency of radiation is 0.603 × 10¹⁵ and the longest wavelength is 4.97 × 10⁻⁷.

Planck's equation is an equation which describes about the amount of spectral radiance radiated by a black body at a certain wavelength in thermal equilibrium.

We have the Planck's Equation,

E = hv,

where E is the energy, h is the Planck's constant = 6.63 x 10⁻³⁴ J and v is the frequency of radiation.

We have in the question E = 4.0×10⁻¹⁹ J

Substituting,

4.0×10⁻¹⁹ = (6.63 x 10⁻³⁴) v

v = (4.0×10⁻¹⁹) / (6.63 x 10⁻³⁴)

  = 0.603 × 10¹⁵

Also we have the equation to find the wavelength,

v = c / λ, where c is the speed of the light = 3 × 10⁸ and λ is the wavelength.

λ = c / v = (3 × 10⁸) / (0.603 × 10¹⁵)

             = 4.97 × 10⁻⁷

Hence the minimum frequency and the longest wavelength of radiation for which the detector registers a response are 0.603 × 10¹⁵ and 4.97 × 10⁻⁷ respectively.

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The perimeter and area of the figure is  [tex]6y^{2} + 10x^{2} y[/tex] and [tex]15x^{2} y^{3}[/tex] respectively.

What are the perimeter and area?

The complete length of a shape's boundary is referred to as the perimeter in geometry. The measurements of all the sides of a figure are added to find its perimeter. The area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses.

Given shape is a rectangle,

So, the perimeter of the figure = [tex]2(3y^{2} + 5x^{2} y)[/tex] = [tex]6y^{2} + 10x^{2} y[/tex]

And,

Area of the figure [tex]= 3y^{2} *5x^{2} y = 15x^{2} y^{3}[/tex]

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Answer:

55 x 9091 = 500,005

Step-by-step explanation:

This checks with a calculator