what is the chance that a woman has breast cancer given she gets a positive test result? write your answer as a fraction (not a decimal) between 0 and 1.
P (cancer 1 +) = _______.

Answer:

67.5

Step-by-step explanation:

Answer:67.5

Step-by-step explanation:0.675*100=67.5

Answer: One abutment

Step-by-step explanation: When a fixed bridge is created, there must be at least one abutment of the bridge.

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

Answer:

3^2+4^2=7^2

√7^2

7

Answer:  c= 5

Given a=4 and b=3,

c = 5

Step-by-step explanation: Given a=4 and b=3,

c = 5

∠α = 53.13° = 53°7'48" = 0.9273 rad

∠β = 36.87° = 36°52'12" = 0.6435 rad

area = 6

perimeter = 12

h =  

12

5

= 2.4

The measure of the two vertical angles is 15°

The two vertical angles have measures (4x-21)° and (x+6)°

Note that:

The measure of two vertical angles are equal

Therefore, equate  (4x-21)° and (x+6)° and solve for x

(4x-21)° =  (x+6)°

4x  -  21   =  x   +  6

Collect like terms

4x  -  x   =   6  +  21

3x    =  27

x   =  27/3

x    =   9

Substitute x = 9 into 4x - 21

4x - 21 = 4(9)  -  21

4x  -  21  = 15°

Substitute x = 9  into x + 6

x  +  6  =  9  +  6

x  +  6  =  15°

Learn more here: https://brainly.com/question/25600404

This is a simple probability problem to solve, first, we need to know how many cookies we have inside the bag. So we have 8 chocolate chip cookies + 4 peanut butter cookies + 9 sugar cookies + 6 oatmeal cookies = 27 cookies (total). Once we have the total we can see the probability to first randomly select a chocolate chip cookie is P (first chocolate chip cookie) = 8/27 (we just have 8 chances to select a chocolate chip cookie between 27 cookies).

After we select a chocolate chip cookie and eat it, now we just have 26 cookies inside the bag. So our probability to select randomly a sugar cookie is P (sugar cookie second) = 9/26 (we just have 9 chances to select a sugar cookie between 26 cookies). Now we just need to combine those two probabilities, and to do that as a sequence (probability 1 first, next probability 2) we use the product operator *. So P(chocolate chip cookie first and sugar cookie second) = P (first chocolate chip cookie) * P (sugar cookie second) = (8/27) * (9/26) = 72/702.

Finally, our final answer is P(chocolate chip cookie first and sugar cookie second) = 0.1025 (approximately).

Fernando will have traveled 63 miles after 3.5 hours.

To find the distance Fernando will have traveled after 3.5 hours, we can determine his average speed and then calculate the total distance covered.

We are given that after 0.5 hours, Fernando had ridden 9 miles, and after 1 hour, he had ridden 18 miles. By comparing these two data points, we can see that Fernando is traveling at a constant speed of 18 miles per hour.

To calculate the distance traveled after 3.5 hours, we can multiply the speed (18 miles per hour) by the time (3.5 hours):Distance = Speed × Time = 18 miles/hour × 3.5 hours = 63 miles.

Therefore, Fernando will have traveled 63 miles after 3.5 hours.

It is important to note that this calculation assumes a constant speed throughout the entire race. If the speed varied during the race, the result may be different. However, based on the given information of constant speed, we can conclude that Fernando will have traveled 63 miles after 3.5 hours.

Learn more about average speed here:

brainly.com/question/13318003

#SPJ11

Answers in bold:

S9 = 2

i = 20

R = -2

=====================================================

Explanation:

\(S_0 = 20\) is the initial term because your teacher mentioned \(A_0 = I\) as the initial term.

Then R = -2 is the common difference because we subtract 2 from each term to get the next term. In other words, we add -2 to each term to get the next term.

Here is the scratch work for computing terms S1 through S4.

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{1} = S_{1-1} - 2 & S_{2} = S_{2-1} - 2\\S_{1} = S_{0} - 2 & S_{2} = S_{1} - 2\\S_{1} = 20 - 2 & S_{2} = 18 - 2\\S_{1} = 18 & S_{2} = 16\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{3} = S_{3-1} - 2 & S_{4} = S_{4-1} - 2\\S_{3} = S_{2} - 2 & S_{4} = S_{3} - 2\\S_{3} = 16 - 2 & S_{4} = 14 - 2\\S_{3} = 14 & S_{4} = 12\\\cline{1-2}\end{array}\)

Then here is S5 though S8

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{5} = S_{5-1} - 2 & S_{6} = S_{6-1} - 2\\S_{5} = S_{4} - 2 & S_{6} = S_{5} - 2\\S_{5} = 12 - 2 & S_{6} = 10 - 2\\S_{5} = 10 & S_{6} = 8\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{7} = S_{7-1} - 2 & S_{8} = S_{8-1} - 2\\S_{7} = S_{6} - 2 & S_{8} = S_{7} - 2\\S_{7} = 8 - 2 & S_{8} = 6 - 2\\S_{7} = 6 & S_{8} = 4\\\cline{1-2}\end{array}\)

And finally we arrive at S9.

\(S_{n} = S_{n-1} - 2\\\\S_{9} = S_{9-1} - 2\\\\S_{9} = S_{8} - 2\\\\S_{9} = 4 - 2\\\\S_{9} = 2\\\\\)

--------------------

Because we have an arithmetic sequence, there is a shortcut.

\(a_n\) represents the nth term

S9 refers to the 10th term because we started at index 0. So we plug n = 10 into the arithmetic sequence formula below.

\(a_n = a_1 + d(n-1)\\\\a_n = 20 + (-2)(n-1)\\\\a_n = 20 - 2(n-1)\\\\a_{10} = 20 - 2(10-1)\\\\a_{10} = 20 - 2(9)\\\\a_{10} = 20 - 18\\\\a_{10} = 2\\\\\)

In other words, we start with 20 and subtract off 9 copies of 2 to arrive at 20-2*9 = 20-18 = 2, which helps see a faster way why \(S_9 = 2\)

a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1

Thus, gcd (707,413) = 1.

We can find the coefficients s and t that solve the equation 707s + 413t

= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71

= - 12 · 56 + 6 · 119 - 71

= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71

= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71

= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71

Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.

b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.

To know more about Euclidean visit :

https://brainly.com/question/3589540

#SPJ11

Using the percentage concept, it is found that the percentage of 6- to 11-year-olds who were obese was about 17.76% more than the percentage of two- to five-year-olds who were obese.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

\(P = \frac{a}{b} \times 100\%\)

Researching on the internet, we find that:

Hence:

\(P = \frac{17.9}{15.2} \times 100\% = 117.76\%\)

117.76% - 100% = 17.76%.

Hence the percentage of 6- to 11-year-olds who were obese was about 17.76% more than the percentage of two- to five-year-olds who were obese.

More can be learned about percentages at https://brainly.com/question/24372153

To solve for missing values, the number of missing values should be equal to the number of equations. The number of missing values that can be present given only one equation is one missing value

From the question, the known quantities are;

h (known) = 1.076 meters

t (known) = 2.6 seconds

(Initialheight) (known) = 2 meters

The missing value is the velocity;

v (not given)

The reason the above elections are correct is as follows:

The known parameters are;

The (initial) height of the cannon from the ground = 2 meters

The time after which the acrobat lands, t = 2.6 seconds

The height of the safety net on which the acrobat lands, h = 1.076 meters

The formula that gives the height, h, to which the acrobat reaches after being shot from the canon is; h = -4.9·t² + v·t + (initialheight)

Where;

h = The height of the acrobat after being shot or launched from the cannon (known)

The height of the acrobat after the given time, h = 1.076 meters

t = The time in seconds after being shot (Known)

The time is given as 2.6 seconds

v = The velocity with which the acrobat was shot out of the cannon (not given)

The velocity with which the acrobat was shot out of the cannon is the missing value

(Initialheight) = The initial height of the acrobat before he was shot from the cannon (known)

The initial height of the was given as the height of the cannon off the ground which is 2 meters

Therefore, the known quantity or quantities that can be substituted into the equation to find the missing value in the scenario are;

h (known) = 1.076 meters

t (known) = 2.6 seconds

(Initialheight) (known) = 2 meters

The missing value is the velocity, v;

v (not given)

Learn more about solving equations here:

https://brainly.com/question/10770559

Answer:

15: 15,3

40: 8,10,2

Step-by-step explanation:

Answer:

1/y^9= y^-9

1/m^15= m^-15

n^3=n^3

1/m^6=m^-6

n^4

w^12

1/32=2^-5

-6=(-6)^1

1^1

Step-by-step explanation:

Step-by-step explanation:

Use the exponent laws to identify which law to use.

1. y^-4 * y^-5 = y^-9

(add the exponents)

2. (m^-3)^5 = m^-3*5 = m^-15

(multiply the exponents)

3. n^-3 * n^6 = n^3

(add the exponents)

4. m^-12/m^-6 = m^-12-(-6) = m^-6

(subtract exponents)

5. (n^-2)^-2 = n^-2*-2 = n^4

(multiply the exponents)

6. w^5/w^-7 = w^5-(-7) = w^12

(subtract the exponents)

7. 2^-3 * 2^-2 = 2^-5

(add the exponents)

8. (-6)^4 * (-6)^-3 = -6^1

(add the exponents)

9. (4^-6)^0 = 4^-6*0 = 4^0 = 1

(multiply the exponents)

The variables on the horizontal and vertical axes of a scatter plot are always continuous.Corresponding: When two sets of data are plotted on a scatter plot, each data point in the two sets has a corresponding point in the other set.

When you plot two sets of data on a scatter plot, you should use different colors or symbols for the data points from each set.The horizontal axis represents one variable while the vertical axis represents the other. Each point on the graph represents one set of data that corresponds to both variables, with the x-value and y-value corresponding to the respective data points being plotted.Scatterplot versus: A scatter plot has two axes that correspond to two variables. In a scatter plot, we can determine how one variable changes as the other variable changes. The variables on the horizontal and vertical axes of a scatter plot are always continuous.Corresponding: When two sets of data are plotted on a scatter plot, each data point in the two sets has a corresponding point in the other set. When you plot two sets of data on a scatter plot, you should use different colors or symbols for the data points from each set.

learn more about  variables here;

https://brainly.com/question/14783330?

#SPJ11

Answer:

13

Step-by-step explanation:

Use the distance formula and plug in both points

Answer:

its either 11 or 13 im not sure

Step-by-step explanation:

Alleles in a population are represented as p and q, with p being the dominant allele and q being the recessive allele. In a population, the frequency of the alleles p and q must equal

1. If q equals 0.25, then p equals 0.75. This is because p + q = 1, so p = 1 - q. In this case, p = 1 - 0.25 = 0.75

.The frequency of p in this population is 0.75.

A resource population is any part of the environment that can be used to meet another organism's needs.

The first population acts as this because the second population is surviving by eating the first.

To know more about population visit:

https://brainly.com/question/15889243

#SPJ11

Answer:

linearStep-by-step explanation:

Answer:

x = 90

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{BC}{NE}\) = \(\frac{AB}{TN}\) , substitute values

\(\frac{3}{27}\) = \(\frac{10}{x}\) ( cross- multiply )

3x = 270 ( divide both sides by 3 )

x = 90

Answer:

35150361

________

5000000

A is the answer

Domain is all x-values and Range is y-values.

Hope this helps!!:)

Answer:

D. -√3/2

Step-by-step explanation:

Remember your unit circle.

Alternatively, you can plug in cos(7π/6) into your calc (Put it in rad mode) and calculate your answer.

Answer:

D. -√3/2

Step-by-step explanation:

Answer: -0.5

Step-by-step explanation: screenshot

Answer:

-0.2

Step-by-step explanation:

So the Equation is -1.4=0.6y-1.1, so to get the variable by itself, you would need to add 1.1 to both sides. Leaving you with -0.3=0.6y. so divide each side by -0.3. Leaving you with -0.2 hope this helps :)

The height of the tide in a small beach town is measured along a seawall. Water levels oscillate between 5 feet at low tide and 15 feet at high tide. On a particular day, low tide occurred at 6 am and high tide occurred at noon. Approximately every 12 hours, the cycle repeats.

To find an equation to model the water levels, we can use a sinusoidal equation. Let h(t) be the height of the water at time t (in hours). We know that h(6) = 5 and h(12) = 15. Using this information, we can find the equation:

h(t) = 10 sin (πt/6) + 10
To find an equation that models the water levels in a small beach town, given that the height of the tide is measured along a seawall, we need to use the following information:

Water levels oscillate between 5 feet at low tide and 15 feet at high tide. Low tide occurred at 6 am, and high tide occurred at noon. The cycle repeats approximately every 12 hours. Let the water level at low tide be represented by y = 5, and the water level at high tide be represented by y = 15. We can write these points as (0,5) and (12,15), respectively. Since the water levels oscillate every 12 hours, we can create a sine function that models this pattern. We can use the sine function y = a sin(bx + c) + d, where a is the amplitude (half the height of the wave), b is the frequency (number of waves per unit time), c is the phase shift (horizontal displacement of the wave), and d is the vertical displacement of the wave. Using the given information, we can determine the values of a, b, c, and d:a = (15 - 5)/2 = 5, since the amplitude is half the height of the wave. b = 2π/12 = π/6, since the wave repeats every 12 hours (or twice a day), and the period is 2π/b.c = -π/2, since the graph starts at high tide (the maximum point), not at the midpoint between low and high tide (the x-axis).d = (15 + 5)/2 = 10, since the midpoint between low and high tide is the vertical axis of the sine function. Therefore, the equation that models the water levels is: y = 5 sin(π/6 x - π/2) + 10.

The height of the tide in a small beach town is measured along a seawall : https://brainly.com/question/31056585

#SPJ11

Hey there!

150 = 8x + 6y

↠ 150 = 8x + 6(9)

↠ 8x + 6(9) = 150

↠ 8x + 54 = 150

SUBTRACT 54 to BOTH SIDES

8x + 54 - 54 = 150 - 54

CANCEL out: 54 - 54 because that gives you 0

KEEP: 150 - 54 because helps solve for x

↣150 - 54 = 96↢

NEW EQUATION: 8x = 96

DIVIDE 8 to BOTH SIDES

8x/8 = 96/8

CANCEL out: 8/8 because that gives you 1

KEEP: 96/8 because that gives the value of x

96/8 = x

x = 12

Answer: x = 12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The value of F when C = 10, is 50°.

Given is an equation, F = 9/5 C + 32

We need to solve for F if C = 10°,

So,

To find the same put C = 10°,

F = 9/5 × 10° + 32

F = 9 × 2 + 32

F = 18 + 32

F = 50°

Hence the value of F when C = 10, is 50°.

Learn more about Linear equations click;

https://brainly.com/question/12974594

#SPJ1

The curvature (k) of the parameterized curve r(t) = ⟨7cost, √2sint, 2cost⟩ is given by the expression involving trigonometric functions and constants.

To find the curvature of the parameterized curve r(t) = ⟨7cos(t), √2sin(t), 2cos(t)⟩, we need to compute the magnitude of the cross product of the acceleration vector (a) and the velocity vector (v), divided by the cube of the magnitude of the velocity vector (|v|^3).

First, we need to find the velocity and acceleration vectors:

Velocity vector v = dr/dt = ⟨-7sin(t), √2cos(t), -2sin(t)⟩

Acceleration vector a = d^2r/dt^2 = ⟨-7cos(t), -√2sin(t), -2cos(t)⟩

Next, we calculate the cross product of a and v:

a x v = ⟨-7cos(t), -√2sin(t), -2cos(t)⟩ x ⟨-7sin(t), √2cos(t), -2sin(t)⟩

Using the properties of the cross product, we can expand this expression:

a x v = ⟨2√2sin(t)cos(t) + 14sin(t)cos(t), -4√2sin^2(t) + 14√2sin(t)cos(t), 2sin^2(t) + 14sin(t)cos(t)⟩

Simplifying further:

a x v = ⟨16√2sin(t)cos(t), -4√2sin^2(t) + 14√2sin(t)co s(t), 2sin^2(t) + 14sin(t)cos(t)⟩

Now, we can calculate the magnitude of the cross product vector:

|a x v| = √[ (16√2sin(t)cos(t))^2 + (-4√2sin^2(t) + 14√2sin(t)cos(t))^2 + (2sin^2(t) + 14sin(t)cos(t))^2 ]

Finally, we divide |a x v| by |v|^3 to obtain the curvature:

k = |a x v| / |v|^3

Substituting the expressions for |a x v| and |v|, we have:

k = √[ (16√2sin(t)cos(t))^2 + (-4√2sin^2(t) + 14√2sin(t)cos(t))^2 + (2sin^2(t) + 14sin(t)cos(t))^2 ] / (49sin^4(t) + 4cos^2(t)sin^2(t))

The expression for k in terms of t represents the curvature of the parameterized curve r(t).

To learn more about curve, click here:

brainly.com/question/31833783

#SPJ1

Answer: He would make $1,170 a week.

Step-by-step explanation:

He makes $400 a week.

$55 per appliance sold, he sold 14 appliances.

$55 x 14 = $770

$400 + $770 = $1,170

Hope this helps!:)

Answer:

26 cm

Step-by-step explanation:

\(a^{2} +b^2=c^2\)

\(24^2+10^2=c^2\)

576 + 100 = 676

\(\sqrt{676}\) = 26 cm

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

45 - 16 =