In a recent year, 29.8% of all registered doctors were female. If there were 44,400 female registered doctors that year, what was the total number


of registered doctors?



Round your answer to the nearest whole number.

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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The probabilities are : pr(a) = 0.5 , pr(b) = 0.25 , pr(c) = 0.125 , pr(d) = 0.25.

The probability of flipping a head first is 0.5 because there is a 50% chance of flipping heads on any given flip. The probability of flipping 2 heads is 0.25 because there are 4 possible outcomes (HHTT, HTHT, HTTH, THHT) and only 1 of them (HHTT) results in 2 heads. The probability of flipping 3 or more heads is 0.125 because there is only 1 possible outcome (HHHH) that results in 3 or more heads. The probability of the last 2 flips being tails is 0.25 because there are 4 possible outcomes (TTHH, THTH, HTTH, HHTT) and 1 of them (TTHH) results in the last 2 flips being tails. The following table summarizes the probabilities: pr(a) = 0.5 , pr(b) = 0.25 , pr(c) = 0.125 , pr(d) = 0.25.

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Answer:

3n+7=37 is the equation to solve how many were at each of the large tables

ANSWER. My answer might be wrong also.

Answer:

sqrt53

Step-by-step explanation:

So here I'm assuming you need to know the hypotenuse of the triangle. Since it is a right triangle, we are able to use Pythagorean's theorem which is a^2 + b^2 = c^2.

We can set a = 2, b = 7, and solve for c.

2^2 + 7^2 = c^2

4 + 49 = c^2

53 = c^2

c = sqrt53

The surface area and the volume of each solid are listed below:

Case 23

A = 216 + 153√3 cm² = 481 cm², V = 324√3 cm³ = 561.18 cm³

Case 13

A = 575π m² = 1806.42 m², V = 4000π / 3 m³ = 4188.79  m³

In this problem we must determine the surface area and the volume of each of the two solids, the following area and volume formulas are listed below:

Triangles

A = 0.5 · w · h

Rectangle

A = w · h

Circle

A = π · r²

Surface of a hemisphere

A = 2π · r²

Surface of the inclined section of a cone

A = π · r · l

Lateral surface of a cylinder

A = 2π · r · l

Volume of a prism

V = A' · l

Volume of a hemisphere

V = (2π / 3) · r³

Volume of a pyramid

V = (1 / 3) · A' · l

Where:

Now we proceed to determine the surface area and the volume of each solid:

Case 23

Surface area

A = (9 cm) · (8 cm) + (9√3 cm) · (8 cm) + (18 cm) · (8 cm) + (9 cm) · (9√3 cm)

A = 72 cm² + 72√3 cm² + 144 cm² + 81√3 cm²

A = 216 + 153√3 cm²

A = 481 cm²

V = 0.5 · (9 cm) · (9√3 cm) · (8 cm)

V = 324√3 cm³

V = 561.18 cm³

Case 13

Surface area

A = 2π · (5 m)² + 2π · (5 m) · (45 m) + π · (5 m) · (15 m)

A = 575π m²

A = 1806.42 m²

Volume

V = (2π / 3) · (5 m)³ + π · (5 m)² · (45 m) + (π / 3) · (5 m)² · (15 m)

V = 4000π / 3 m³

V = 4188.79  m³

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The correct description will be;

⇒ y = - 2x + 3

4x + 2y = 6

These are independent.

⇒ y = -2x + 3

4x + y = 9

These are consistent.

⇒ y = -2x+3

4x + 2y = 9

These are inconsistent.

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 expressions are,

1. y = -2x+3

4x + 2y = 6

2. y = -2x+3

4x+y=9

3. y = -2x+3

4x + 2y = 9

Now,

From (1);

1. y = -2x+3

4x + 2y = 6

⇒ 2x + y = 3

4x + 2y = 6

⇒ 2x + y = 3

So We get;

⇒ 2/2 = 1/1 = 3/3

⇒ 1/1 = 1/1 = 1/1

These are independent.

From (2);

1. y = -2x+3

4x + y = 9

⇒ 2x + y = 3

4x + y = 9

So We get;

⇒ 2/4 ≠ 1/1

⇒ 1/2 ≠ 1/1

These are consistent.

From (3);

1. y = -2x+3

4x + 2y = 9

⇒ 2x + y = 3

4x + 2y = 9

So We get;

⇒ 2/4 = 1/2 = 3/9

⇒ 1/2 = 1/2 ≠ 1/3

These are inconsistent.

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Answer:

1177.58 cm³

Step-by-step explanation:

The volume of a sphere is given by V = (4/3)πr³. In this case, if the width (diameter) of the cup is 16.51cm, then the radius is 8.255 cm. So the volume of the cup, if it were a sphere, would be:

V = (4/3) * 3.14 * (8.255)³ ≈ 2355.1557 cm³

But since this is a hemisphere (i.e., half a sphere), we cut that value in half to get the volume of the cup:

2355.1557 / 2 ≈ 1177.58 cm³

Answer:

5 and 12

Step-by-step explanation:

Answer:

The answer is -7 and 5

Step-by-step explanation:

-7x5= -35

-7+5=-2

Answer: if you give your friend one dollar the first week you’d only owe 9 dollars left. Then the second week you play the 2 dollars, you now only owe 7 dollars. The third week comes and you give them 5, you only owe 2 dollars. Then you’d only be able to give them 2 dollars the next week, or one dollar then another one the following week. There are 4,5 different payment sequences possible.

Step-by-step explanation:

1) C = 3.14 × 1 cm

or, C = 3.14 cm

2) C = 2 × 3.14 × 5m

or, C = 3.14 × 10m

or, C = 31.4 m

3) C = 2 × 22/7 × 14 cm

or, C = 28 × 22/7 cm

or, C = 4 × 22 cm

or, C = 88 cm

4) L = 90/360 × 2 × 22/7 × 5 cm

or, L = 1/4 × 10 × 22/7 cm

or, L = 220/28 cm = 55/7 cm

or, L = 7 whole 6/7 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:de

Step-by-step explanation:

The graph of f(x)=2x+4 is a straight line that passes through the point (0,4) with a slope of 2. This means that for every 1 unit increase in x, the value of y increases by 2 units.

The given function is f(x)=2x+4. This is a linear function with a slope of 2 and a y-intercept of 4. The following are the principles and functions of the given function.

FUNCTIONS: Linear functions are characterized by their constant rate of change. In particular, the rate of change between any two points on the line is always constant. As a result, the graph of a linear function is a straight line.

PRINCIPLES: There are two main principles of linear functions: slope and y-intercept.

Slope: The slope of a line is the rate of change between any two points on that line. It is represented by the letter m in the slope-intercept form of a linear equation, which is y=mx+b.

Y-intercept: The y-intercept of a line is the point where the line crosses the y-axis. It is represented by the letter b in the slope-intercept form of a linear equation, which is y=mx+b.

The graph of f(x)=2x+4 is a straight line that passes through the point (0,4) with a slope of 2. This means that for every 1 unit increase in x, the value of y increases by 2 units. The graph of this function is shown below: Therefore, the principles of this function include its slope and y-intercept, while its functions include its constant rate of change and straight line graph.

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For the following quadratic equations:

14) To complete the square for the quadratic equation x² + 36x + c,

add the square of half the coefficient of x (36/2)² = 18² = 324.

Therefore, the value of c that completes the square is 324.

15) To complete the square for the quadratic equation x² + 9x + c,

add the square of half the coefficient of x (9/2)² = 4.5² = 20.25.

Therefore, the value of c that completes the square is 20.25.

16) For the equation -2n² + 8n - 9 = 0, the discriminant is b² - 4ac. Here, a = -2, b = 8, and c = -9.

Discriminant = (8)² - 4(-2)(-9) = 64 - 72 = -8.

Since the discriminant is negative (-8), the equation has two complex solutions.

17) For the equation -9m² + 5m = 0, the discriminant is b² - 4ac. Here, a = -9, b = 5, and c = 0.

Discriminant = (5)² - 4(-9)(0) = 25 - 0 = 25.

Since the discriminant is positive (25), the equation has two real solutions.

18) For the equation 4n² + 5n - 84 = 0, use the quadratic formula to solve it.

The quadratic formula is given by:

n = (-b ± √(b² - 4ac)) / (2a)

In this equation, a = 4, b = 5, and c = -84. Plugging these values into the quadratic formula:

n = (-5 ± √(5² - 4(4)(-84))) / (2(4))

n = (-5 ± √(25 + 1344)) / 8

n = (-5 ± √1369) / 8

n = (-5 ± 37) / 8

So, the two solutions to the equation are:

n = (-5 + 37) / 8 = 32 / 8 = 4

n = (-5 - 37) / 8 = -42 / 8 = -5.25

19) For the equation r² - 8r - 70 = 0, solve it by completing the square.

r² - 8r - 70 = 0

(r - 4)² - 16 - 70 = 0 (Adding and subtracting (8/2)² = 16 to complete the square)

(r - 4)² - 86 = 0

(r - 4)² = 86

Taking the square root of both sides:

r - 4 = ± √86

r = 4 ± √86

So, the solutions to the equation are:

r = 4 + √86

r = 4 - √86

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Answer:

B (35)

Step-by-step explanation:

5 * 3 = 15

5 * 4 = 20

20+15= 35

Answer:

B) 35

Step-by-step explanation:

Solve the equations inside the parenthesis first

so 3 + 4  = 7

now multiply 7 x 5 = 35

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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The first two events are not independent, with a probability P = 0.00603

The second pair of events is independent, and the probability is P = 0.0625

First, all the cards on the deck have the same probability of being randomly drawn, which will be p = 1/52.

A) Now, if Lacy first draws a spade card, now the number of cards in the deck are less (now there are 51 cards on the deck). So the probability of drawing now a spade is larger than before. Then the first two events are not independent.

The probability of drawing a 10 card at first is:

P = 4/52 (because there are 4 10's and a total of 52 cards).

The probability of drawing a 4's after is:

Q = (4/51)

The joint probability is the product of the individual probabilities, this will give: p = P*Q = (4/52)*(4/51) = 0.00603

B) Now we replace the first card, then the events are now independent, as the probability of drawing a spade after the first draw is not changed (because the total number of cards will be 52).

The probability of drawing a spade is:

P = 13/52

Now we replace the spade card drawn.

The probability of drawing a club will be:

Q = 13/52

The joint probability is:

p = P×Q = (13/52)² = 0.0625

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The function S(x) = 8x² - 64x + 36 has a local minimum at x = 4.

To find the local extrema of the function S(x) = 8x² - 64x + 36, we can use the first derivative test. The first step is to find the first derivative of S(x).

S'(x) = d/dx (8x² - 64x + 36)

To find the derivative, we apply the power rule:

S'(x) = 16x - 64

Now, we set the derivative equal to zero to find critical points:

16x - 64 = 0

Solving this equation gives:

16x = 64

x = 4

We have found a critical point at x = 4.

Next, we need to determine the behavior of the derivative on either side of this critical point.

For x < 4:

Choose a test point, let's say x = 3. Substitute this value into the derivative:

S'(3) = 16(3) - 64

S'(3) = 48 - 64

S'(3) = -16

Since the derivative is negative (-16) for x < 4, the function is decreasing on this interval.

For x > 4:

Choose a test point, let's say x = 5. Substitute this value into the derivative:

S'(5) = 16(5) - 64

S'(5) = 80 - 64

S'(5) = 16  Since the derivative is positive (16) for x > 4, the function is increasing on this interval.

Based on the first derivative test, we can conclude the following:

At x = 4, there is a local minimum since the function changes from decreasing to increasing.

Since there are no other critical points, there are no additional local extrema.

Therefore, the function S(x) = 8x² - 64x + 36 has a local minimum at x = 4.

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Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

Answer:

5.13

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help

The percent discount from the total cost if 15 items are purchased, rounding to the nearest whole number, is 12%.

Given,An office supply store offers a bulk discount rate.

The first 10 items purchased receive a 10% discount and each additional item purchased receives a 15% discount.Using this discount rate, we can calculate the total discount as follows:

Therefore, the total discount for 15 items can be calculated as follows:Total discount = Discount on first 10 items + Discount on next 5 items= 10% of original price of 10 items + 15% of original price of 5 items= 1 * original price of 10 items + 0.75 * original price of 5 items= 10 * 1 + 5 * 0.75= 12.5

Therefore, the percent discount from the total cost, rounding to the nearest whole number, is 12%.

Summary:The percent discount from the total cost if 15 items are purchased, rounding to the nearest whole number, is 12%.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Perimeter of the park = 10km

Part of the wall's construction completed =

\( \frac{4}{5}th \: of \: perimeter \)

=

\( \frac{4}{5} \times 10\)

(cancel 5 and 10)

=

\( \frac{4}{1} \times 2\)

= 8km

•.• Part of the wall left (to be constructed) = 10km - 8km = 2km

HOPE THIS HELPS YOU

No, Lydia's assertion that δSTU is a right triangle is not correct.

A right triangle is a triangle in which one of the angles measures 90 degrees (a right angle). To determine if δSTU is a right triangle, we need to examine the angles formed by the given coordinates.

Using the coordinates:

s (-3, 0)

t (0, -3)

u (3, -3)

We can calculate the slopes of the lines formed by connecting these points to see if any of them are perpendicular (indicating a right angle).

The slope of the line connecting points s and t is:

m(st) = (y₂ - y₁) / (x₂ - x₁) = (-3 - 0) / (0 - (-3)) = -3/3 = -1

The slope of the line connecting points s and u is:

m(su) = (y₂ - y₁) / (x₂ - x₁) = (-3 - 0) / (3 - (-3)) = -3/6 = -1/2

The slope of the line connecting points t and u is:

m(tu) = (y₂ - y₁) / (x₂ - x₁) = (-3 - (-3)) / (3 - 0) = 0/3 = 0

None of the slopes calculated are perpendicular to each other, meaning none of the angles formed by the given coordinates are 90 degrees. Therefore, δSTU is not a right triangle.

In summary, Lydia's assertion that δSTU is a right triangle is incorrect because the angles formed by the given coordinates do not include a 90-degree angle.

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A curvilinear association is a non-linear relationship between two variables, but a correlation coefficient of zero (or close to zero) does not guarantee a curvilinear relationship, as it only indicates the absence of a linear relationship.

A curvilinear association is a relationship between two variables where the pattern of their association is not a straight line. However, the correlation coefficient being zero (or close to zero) indicates no linear relationship between the variables, but it does not necessarily imply a curvilinear association. A curvilinear association can have a non-zero correlation coefficient, depending on the nature of the curve.
No, that statement is not entirely accurate. A curvilinear association refers to a relationship between two variables that is not linear, meaning it cannot be described by a straight line. However, the correlation coefficient can still be calculated for a curvilinear relationship, and it may or may not be close to zero. In fact, there are different types of curvilinear relationships, some of which can have a strong correlation coefficient.

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Answer:

P(-5,-3)

Step-by-step explanation:

directed line segment  AB where

A(-10,-5) and B(5,1)

Vector of segment AB = B-A = <15,6>

Add one third of the vector length to A to get the partition point, P

A(-10,-5) + <15,6>/3 =A(-10,-5)+<5,2> = P(-5,-3)

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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