A town of 48,730 residents is implementing a new cancer screening for all residents. One half of one percent (0.5%) of people in the town actually have the disease. The test has a 92% accuracy rate for positive results, with an 8% false positive rate for detecting cancer.

Step-by-step explanation:

First Line

- Given Equation

Second Line

- Subtraction Property of equality (7 was subtracted from both sides of the equation)

Third Line

- Distributive property (The parenthesis was expanded)

Fourth Line

- Subtraction Property of equality (2x was subtracted from both sides of the equation)

Fifth Line

- Addition Property of equality (1 was subtracted from both sides of the equation)

Sixth Line

- Division property of equality (5 was divided from both sides of the equation)

This exercise must complete the blanks with the correct answers:

1)" Given Equation"

2) "Transitive Property of equality"

3)"Distributive property"

4) "Addition Property of equality"

5) "Subtraction Property of equality"  

6)"Division property of equality"

In this exercise we have to identify the step by step of the given equation:

1) The first thing we see is the equation, so we'll have that it's the "Given Equation"

2) The second step is when the number 7 goes to the right adding to 4 resulting in 11, so it corresponds to "Transitive Property of equality"

3) In the third step, the distribution of the negative value on the left side of the equation was made, then "Distributive property"

4) In the fourth step we move the 2X to the left and add it to the value of 3X, then "Addition Property of equality"

5) The fifth step occurs when we subtract 1 from the right side, so "Subtraction Property of equality"  

6) The sixth step occurs when we perform the division of the equation resulting in the value of X, so 'Division property of equality"

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Answer:

147

Step-by-step explanation:

add the 2 sides together 19+14=33 then take 33 and subtract from 180. bc thats the rule btw. So 180-33= 147 hope this helps :))

Answer:

18 people.

Step-by-step explanation:

Are you going to lay a protractor on the pizza and measure 40° ?) Multiply that by two(because theres two pizzas) so 18 people.

Answer:

yes

Step-by-step explanation:

Answer:

16 ft³

Step-by-step explanation:

4ft x 2ft x 2ft = 4ft x 4ft = 16 ft³

Answer:

y = x + 3

Step-by-step explanation:

This is because the number is increasing by three each time and if you substituted the variable x with a number the answer is true.

Answer:

P

K

P

K

P

K

Step-by-step explanation:

If it's not moving, it's potential energy

If it's moving, it's kinetic energy

Answer:

The water droplet will hit the ground 1.58 seconds after it started falling.

Step-by-step explanation:

The function:

y = -16*t^2 + 40

represents the height of a water droplet t seconds after falling from an icicle.

We want to find the value of t such that the water droplet hits the ground, and this will happen when y = 0.

Then we only need to solve the equation:

0 = y =  -16*t^2 + 40

0 =  -16*t^2 + 40

16*t^2 = 40

t^2 = 40/16

t = √(40/16) = 1.58

The water droplet will hit the ground 1.58 seconds after it started falling.

Answer:

(axh)/2 30

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

about 7.3 units

Step-by-step explanation:

the short lengths are 2 and 7, so like i explained earlier, 2^2 + 7^7 = x^2

we can simplify this to 53 = x^2, the so x = √53, which is about 7.3.

Answer:

4.5 and 5

Step-by-step explanation:

The √24 is 4.89879

to one decimal place is 4.9

Approximately 5

Answer:

12rhehrhehrhjnehrhrhehrhehehrrhrjejejej

Answer:

Step-by-step explanation:

Use 3.14 for the pi DO NOT INCLUDE UNITS

Answer

look ate image i just send u that´s the answer on the pice of paper

Step-by-step explanation:

The equation of the parabola is given by y=x²+19

A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.

Given here: In t=1 sec the football's height was 20 feet and for t=4 the height of the football was 35 feet.

Let the path of the football be a parabola and facing downward.

Thus the equation of the parabola must be y=-4ax²+c

But the parabola passes through the points (1,20) and (4,35)

Thus substituting the points on the equation of the parabola we get

20=-4×1²×a+c & 35=-4×4²a+c

20=-4a+c &35=-64a+c

Solving for a we get

          a=-1/4

Thus c=19

∴The equation of the parabola is given by

y=x²+19

Hence, The equation of the parabola is given by y=x²+19

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Answer:

L = 20 inches

Step-by-step explanation:

w = width

L = length

area = 120

W x L = 120

L - 8 = 2W  then L = 2W + 8

substitute for L:

W x (2W + 8) = 120

2W² + 8W -120 = 0

(2W - 12)(W + 10) = 0

2W-12 = 0

2W = 12

W = 6

L = 20

Answer:

40

Step-by-step explanation:

Let x = width, then 3x = length, Area = l x w so,

(3x)(x) = 75

3x2 = 75

x = 5 = width, length = 15

Perimeter = 2l +2w = 10 + 30 = 40

Answer:

N = 7.5 pounds

Step-by-step explanation:

Formula for the radioactive decay is given by,

[tex]N=N_0e^{-\lambda t}[/tex]

Here, N = Final amount

N₀ = Initial amount

λ = Decay constant

t = Duration of decay

Now we can substitute the values from the given question,

N = [tex]15e^{-(0.0231\times 30)}[/tex]

N = [tex]15e^{-0.693}[/tex]

N = 15(0.5)

N = 7.5 pounds

Answer: Value of n is -6

Step-by-step explanation:

If the function f(x) is translated k units up, then its image is g(x) = f(x) + k

If the function f(x) is translated k units down, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can start by substituting the function k(x) into the expression for p(x):

p(x) = k(x) + n

p(x) = x^2 + n

We don't have enough information to determine the value of n, but we can set up an equation using some other given information. If we know that p(2) = 5, we can substitute x = 2 and solve for n:

p(2) = 2² + n = 4 + n = 5

n = 5 - 4

n = 1

Therefore,

The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.

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Answer:

-17y + 16x

Step-by-step explanation:

-3(3y - 2x) + 2(5x - 4y) = -9y + 6x + 10x - 8y = -17Y + 16X.

If it is helpful, plz give me Brainliest.

The equivalent expression to the given expression is -17y+16x.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is -3(3y-2x) +2(5x-4y)

Here, -3×3y+ (-3)×(-2x) +2×5x-2×4y

= -9y+6x+10x-8y

= (-9y-8y)+(6x+10x)

= -17y+16x

Therefore, the equivalent expression is -17y+16x.

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Answer:

c

Step-by-step explanation:

The general form of a reciprocal function is r(x) = a / (x - h) + k. The graphs of reciprocal functions are made up of branches, which are the two main parts of the graph; and asymptotes, which are horizontal and vertical lines that the graph approaches but doesn't touch.

Answer:

I'm pretty sure it's graph C

Answer:

Step-by-step explanation:

62.17

Answer:

The answer is C i just took the test.

Answer:

it's C i just took the test

Step-by-step explanation:

Answer:

m = -3m+3n/-2b

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

Given the coordinates (a+b,4m-n) and (a-b,m+2n)​

m = (m+2n)-(4m-n)/(a-b)-(a+b)

m = m+2n-4m+n/a-b-a-b

m = m-4m+2n+n/a-a-b-b

m = -3m+3n/-2b

Hence the required slope is m = -3m+3n/-2b

Answer:

factors are any group of number or expressions which, when multiplied, produce another number or expression.

Basic example:  4 can be broken into 2 factors---2 and 2.  2 times 2 = 4

Example using an unknown:

2X + 6 = 2 * (X + 3)

In the given problem, there is no whole-number common factor.  A normal convention would be to factor based on the unknown term----thus 8X is factored into 8 and X.

So:  8X + 7 = 8 ( X + 7/8 )

The following would also be correct:

8X + 7 = 4 ( 2X + 7/4 )

Step-by-step explanation:

Answer:

Im pretty sure it's C

Step-by-step explanation:

Tell me if im wrong