From this diagram, select the
pair of lines that must be
parallel if 24 = 23. If there
is no pair of lines, select
"none."

The conditional probability that the person has the disease given that the test result is positive is of 0.4750 = 47.50%.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, the events are:

The percentages associated with a positive test is:

Hence:

[tex]P(A) = 0.939(0.038) + 0.041(0.962) = 0.075124[/tex]

The probability of both a positive test and having the disease is given by:

[tex]P(A \cap B) = 0.939(0.038) = 0.035682[/tex]

Hence the conditional probability is given by:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.035682}{0.075124} = 0.4750[/tex]

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The point is (6, 5).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given :

y - 2 = 3(x - 5)

Those point will satisfy after putting the value of x and y we get LHS= RHS.

take (4, 5)

5-2 = 3(4-5)

3= -3

Hence, not satisfied.

take, (6, 5)

5-2 = 3(6-5)

3= 3

Hence, satisfied.

take, (5, 5)

5-2 = 3(5-5)

3= 0

Hence, not satisfied.

take, (1, 4)

4-2 = 3(1-5)

2= -12

Hence, not satisfied.

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Answer:

540,000 cubic centimeters

Step-by-step explanation:

1 meter and 20 centimeters is equal to 120 centimeters.

[tex]120 \times 90 \times 50 = 540000[/tex]

The descriptive answer of different part is described below.

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Here, Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

  150 -75 = 75t -50t, combine likes terms

          75 = 25t, divide both sides by 25

            3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C:

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

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The slope of the line is

[tex]\frac{-1-4}{-1-0}=5[/tex]

So, the equation of the line in point-slope form is [tex]\boxed{y+1=5(x+1)}[/tex]

There are 5 bags and each bag has 5 apples and total there are 25 apples , Option A is the correct answer.

A perfect square is a number which can be written as the product of an integer with itself.

It is given that Mark divided a basket of apples evenly into small bags.

Let there be n no. of bags and therefore n number of apples in each bag

Then the total number of apples will be

n * n

n²

The value of total number of apples should be a perfect square,

In the option given only 25 is the perfect square

Therefore the equation can be made as

n² = 25

n = 5

There are 5 bags and each bag has 5 apples and total there are 25 apples.

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Answer:

B: 2005

Step-by-step explanation:

Worked on edge 2022

Answer:

Total Miles he  drives first day      = 8 miles

Total Miles he drive second day   = 12miles

Total Miles he drives third day    =    18miles

Total Miles he drives fourth day    =  27 miles

Step-by-step explanation:

This is a problem of linear equations in 1 variable:

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

It is given in the question that ,

This week his goal is to drive bike about 65 total miles over four days. Each day, he wants to ride 1.5 times as far as he rode the day before.

Let, on the first day, he drives x miles. On second day, he drives 1.5x. On the third day, he drives 1.5(1.5x) and on the fourth day, he drives 1.5(1.5(1.5x)).

So the equation is :

x +1.5x + 1.5(1.5x) + 1.5(1.5(1.5x)) = 65miles

x + 1.5x + 2.25x + 3.375x   = 65miles

            8.125x   =    65 miles

                  x   =  65/8.125  miles

                  x   = 8 miles

so after solving the equation we get, on the first day Gavin drives 8 miles

similarly, on the second day he drives 12miles

               on third day 18 miles

   and     on the fourth day  27miles

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Answer: ZT = ZS

Step-by-step explanation: ZT = ZS must be true under all circumstances. This is because a perpendicular bisector of a line cuts the line into two equal pieces. It is the midpoint of the entire line. Thus, ZT is the same as ZS since the line is equally cut in half and thus are the same.

Answer:

A cylinder

Step-by-step explanation:

Hope this helps :)

Answer:

K could be 7 or 8

Step-by-step explanation:

If K was to be 7, the equation would be x^2 + 7x + 12 = (x+3)(x+4)

If K was to be 8, the equation would be x^2 + 8x + 12 = (x + 2)(x + 6)

The state of the market if market price was fixed at Birr 25 per unit is excess demand

Qd = 50 - p

p = Qs + 5

p - 5 = Qs

if market price was fixed at Birr 25 per unit?

Qd = 50 - p

= 50 - 25

Qd = 25

Qs = p - 5

= 25 - 5

Qs = 20

The state of the market if market price was fixed at Birr 25 per unit is excess demand (demand greater than supply) leading to an increase in price.

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Answer:

B, A, C

Step-by-step explanation:

add the like terms together (ending in x2 with x2, ending in x with x etc )

Answer:

B A C

Step-by-step explanation:

combining like terms

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: x = 6 \:\: units[/tex]

[tex]{\qquad \tt \rightarrow \: y = 20° } [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Two sides and their opposite angles of a Triangle are given equal.

[tex]\large \textsf{ For x :} [/tex]

[tex]\qquad \tt \rightarrow \: 2x - 1 = x + 5[/tex]

[tex]\qquad \tt \rightarrow \: 2x - x = 5 + 1[/tex]

[tex]\qquad \tt \rightarrow \: x = 6 \: \: units[/tex]

[tex] \large\textsf{For y :} [/tex]

[tex]\qquad \tt \rightarrow \: 3y - 10 = y + 30 [/tex]

[tex]\qquad \tt \rightarrow \: 3y - y = 30 + 10[/tex]

[tex]\qquad \tt \rightarrow \: 2y = 40[/tex]

[tex]\qquad \tt \rightarrow \: y = 20 \degree[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The function can be best modeled by a linear regression and the values of a, b and c are -6, 100 and 240, respectively

From the table, we can see that as the number of years increases, the population increases.

This implies that the function can be best modeled by a linear regression.

A linear regression equation is represented by

ax + by = c

Next, we enter the data in a statistical calculator.

From the statistical calculator, we have the following summary:

The regression equation is then represented as:

y = bx + a

Where:

b = SP/SSX = 231.49/3937.5 = 0.05879

a = MY - bMX = 4.58 - (0.06*37.5) = 2.37952

So, we have:

y = 0.05879x + 2.37952

Approximate

y = 0.06x + 2.4

Multiply through by 100

100y = 6x + 240

Rewrite as:

-6x + 100y = 240

Hence, the values of a, b and c are -6, 100 and 240, respectively

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Answer:

The data is best modeled by an exponential function.

The value of a is 2.653, the value of b is 1.01, and the value of c is not used

Step-by-step explanation:

EDGE answers

Answer:

B) the probability that is traveling more than 63 mph is 0.6293 (or 62.93%)

Step-by-step explanation:

Given:

Finding the Probability:

If one car is randomly chosen, we want the probability that is traveling more than 63 mph is,

P(X > 63)

To find the value of z,

z = x - μ / σ

z = 63 - 65 / 6

z = -2 / 6

z = -1 / 3 which is approximately -0.33

Using Z table (attached below):

to find this on the table

The area under the curve is 0.3707

P(z > 63) = 1 - P(z < 63)

               = 1 - 0.3707

               = 0.6293

Hence the probability that is traveling more than 63 mph is 0.6293

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Answer: D

Step-by-step explanation:

We can substitute in each of the coordinate pairs.

A) We get 3 < (2/3)(0)+2, which is false.

B) We get 1 < (2/3)(-3)+2, which is false.

C) We get 5 < (2/3)(3)+2, which is false.

D) We get 2 < (2/3)(1)+2, which is true.

Answer:

11/2

Step-by-step explanation:

Multiply by 2/2 to remove the decimal.

The population at the end of the year 2018 will be 2150.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018.

The population will be calculated as the year 2000 is also considered:-

P = Total years x Increase per year

P = 19 x 50

P = 2150

Therefore the population at the end of the year 2018 will be 2150.

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Answer:

angle 1 is equal to angle 4 ( vertically opposite angles)

if angle 1 is congruent to angle 8

then angle 4 is also congruent to angle 8

then slope of line L and n is equal

that is L is parallel to n

Answer:

D

598*47+38=

28106+38=

28134

The line on the graph which represents the same relationship between quantities. is line B; y = 2x

Number of almonds = 2 ounces

Bags of trail mix = x

Total mix = y

The equation:

y = 2 × x

y = 2x

Complete question:

Trevor uses 2 ounces of almonds in each bag of trail mix he makes.

Bags of Trail Mix Almonds (oz.)

6 Line on the graph represents the same relationship between quantities.

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Answer:

∠a = 50°

∠b = 130°

∠c = 130°

Explanation:

Following Vertical Angles Theorem:

A straight line has 180° angle measure, ∠c and ∠a lies on a straight line

Also, following vertical angle theorem:

Answer:

The total amount , principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 5.5% per year compounded 2 times per year over 8 years is $7,717.55.

Step-by-step explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

First, convert R as a percent to r as a decimal

r = R/100

r = 5.5/100

r = 0.055 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 5,000.00(1 + 0.055/2)^(2)(8)

A = 5,000.00(1 + 0.0275)^(16)

A = $7,717.55

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 5.5% per year compounded 2 times per year over 8 years is $7,717.55.

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Answer:

a. 3

b. -8

Step-by-step explanation:

let me know if you want an explanation

The required equation of a line is y = -3x- 1

The equation of a line in slope-intercept form is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Using the coordinate point (0, -1) and (-1, 2)

Slope = 2-(-1)/-1-0

Slope = 3/-1

Slope =-3

Since the line crosses the y-axis at (0, -1), hence the value of b is -1

Determine the equation

y = mx + b

y = -3x + (-1)

y = -3x- 1

Hence the required equation of a line is y = -3x- 1

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