The sum of 18 and a number, x, equals negative 40.

a) The value of P(Y∩P) =0.23

b) The value of (Y|P) = 0.34

c)  The value of (P|Y) = 0.27

d) The value of P(Y/P') = 0.68

What is Venn diagram?

A Venn diagram can also be referred to as a set diagram or a logic diagram that illustrates various set operations including the intersection, union, and difference of sets. Subsets of a set are also represented using it. A subset of whole numbers, which is a subset of integers, is a collection of natural numbers, as an example.

Given that there are two events Y and P.

P(Y) = 0.57

P(P) = 0.5

P(Y∪P) = 0.84

The formula of intersection is  P(Y∩P)  = P(P) + P(Y) - P(Y∪P)

Putting P(Y) = 0.57, P(P) = 0.5, P(Y∪P) = 0.84

P(Y∩P)  = 0.5 + 0.57 - 0.84

P(Y∩P) = 0.23.

b)

P(Y|P) = P(Y) - P(Y∩P)

P(Y|P) = 0.57 - 0.23

P(Y|P) = 0.34

c)

P(P|Y) = P(P) - P(Y∩P)

P(P|Y) = 0.5 - 0.23

P(P|Y) = 0.27

d) P(Y/P') = P(Y∩P') / P(P')

P(Y/P') = P(Y|P)/[1 - P(P)]

P(Y/P') = 0.34/(1- 0.5)

P(Y/P') = 0.68

To learn more about conditional probability, click on below link:

https://brainly.com/question/17888647

#SPJ1

Answer:

Step-by-step explanation:

the answer is 11/12

Answer:

should be angle 7, 1, and 3

hope i could helpppp

Answer: 1 , 7 , 3

Step-by-step explanation:

The angles that habe the same measurement of angle 5 are;

1 , 7 , 3

Because the lines are parallel, these angles correspond to angle 5.

Answer: 68600

hope it helps!

The solution is y = -2x + 2

The equation of line that passes through the point P ( -2 , 6 ) and is perpendicular to the line x - 2y = 7 is given by y = -2x + 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Let the point be P = P ( -2 , 6 )

The line is perpendicular to the line x - 2y = 7

So , the product of the slopes of the lines will be -1

And , m₁ x m₂ = -1

Now , the slope of the line x - 2y = 7 is calculated as

x - 2y = 7

Adding 2y on both sides of the equation , we get

2y + 7 = x

Subtracting 7 on both sides of the equation , we get

2y = x - 7

Divide by 2 on both sides of the equation , we get

y = x/2 - 7/2

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

So , the slope of the line m₁ = 1/2

Now , since the lines are perpendicular

the product of the slopes of the line will be -1

And , m₁ x m₂ = -1

Substituting the values in the equation , we get

1/2 x m₂ = -1

Multiply by 2 on both sides of the equation , we get

m₂ = -2

Therefore , the slope of the line A is -2

Now , the equation of line A is given by the formula

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 6 = -2 ( x - ( - 2 ) )

y - 6 = -2 ( x + 2 )

y - 6 = -2x - 4

Adding 6 on both sides of the equation , we get

y = -2x + 2

Hence , the equation of line is y = -2x + 2 where slope of the line is -2 and the y intercept is 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

The length of BC is approximately 5.72 miles and the length of AC is approximately 12.67 miles.

Let's represent the length of the side opposite angle A "BC" and the length of the side adjacent to angle A "AC". We can then use the sine function to find BC:

sin(A) = BC / AC

Substituting the given values, we get:

sin(24°) = BC / 14

We can use a calculator or look up the value of sin(24°) to get:

sin(24°) ≈ 0.406

Solving for BC, we get:

BC = 14 * sin(24°) ≈ 5.72

To find AC, we can use the cosine function:

cos(A) = AC / AC

Substituting the given values, we get:

cos(24°) = AC / 14

We can use a calculator or look up the value of cos(24°) to get:

cos(24°) ≈ 0.913

Solving for AC, we get:

AC = 14 x cos(24°) ≈ 12.67

Thus, BC is about 5.72 miles long while AC is about 12.67 miles in length.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ1

Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is [tex]\sqrt{61}[/tex] units.

A line or line segment's length between two points along the line or line segment.

The required formula is:

[tex]d = \sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]

(x1,y1)= (6,2)

(x2,y2)=(1,-4)

[tex]d = \sqrt{(1-6)^{2}+(-4-2)^{2}}[/tex]

[tex]d=\sqrt{25+36}[/tex]

[tex]d=\sqrt{61}[/tex] units.

To learn more about distance visit:

https://brainly.com/question/29130992

#SPJ1

Using the formula for the distance between two points and using the provided points, The error is missing a square root. The actual length is  units.

What do you mean by distance?
Distance refers to the amount of space between two or more points, or the measure of how far apart two or more points are. It can be measured in various ways, including miles, kilometers, inches, centimeters, and more. Distance is often used to measure the length of a journey or the amount of space between two physical objects. It can also refer to the amount of time between two events, such as the distance between two birthdays. Distance can also be used to describe the relative or emotional separation between two people, such as the distance between a parent and a child.

What is the formula to calculate distance between two points?

The required formula is:

[tex]d =\sqrt{(x2-x1)^2 +(y2-y1)^3}[/tex]

(x1,y1)= (6,2)
(x2,y2)=(1,-4)

[tex]d = \sqrt{(1-6)^2 + (-4 -2)^2}[/tex]
[tex]d = \sqrt{25+36}[/tex]
[tex]d = \sqrt{61} units[/tex]

To learn more about distance visit:
brainly.com/question/29130992
#SPJ1

When Ms. Hall is buying Ms. Ward some gifts for Christmas as described in the problem,

the Constant: $90 and $7

the Coefficient: $7

the Equation:  $90 + $7x

Information form the problem shows that

one big gift that will cost $90

some small gifts that cost $7 each

the constant in this case is the price of the gifts

$90 and $7

the coefficient is $7

the equation is

$90 + $7x

where x is the number of the small gifts

Learn more about equations at

https://brainly.com/question/22688504
#SPJ1

Answer: $16 = 4s + 3g

Step-by-step explanation:

s = shoes

g = games

Answer:5x+22

there you gooo

Answer:

5x+ 45/2

Step-by-step explanation:

A line passes through point (1, 6) and has a slope is y=8x-14 We want to write the equation of the line that passes through (1, -6) and has a slope of 8 in slope-intercept form

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope (8), we can immediately plug that into the equation

So far, the equation of the line is:

y=8x+b

Now we need to find b

The line passes through the point (1, -6), which means that the point is a solution to the equation; when plugged into the equation, it'll create a true statement. This can help us find unknown variables, like b

Substitute 1 as x and -6 as y in the equation to solve for b

-6=8(1)+b

Multiply

-6=8+b

Subtract 8 from both sides

-14=b

Substitute -14 as b into the equation

y=8x-14

To learn more about equation visit

https://brainly.com/question/29657988

#SPJ1

Answer:

Answers below

Step-by-step explanation:

1. The value 550 represents the initial balance in the account, which means the account started with $550.

2. 528.28

425.00 x  2.7% x 9 = 103.275

Then we add 103.275 to the initial deposit of $425.00

425.00 + 103.275 = 528.275

Therefore the answer is $528.28

3. The answer for this one is  f(n) = 56 + 3(n − 1)

So, as we can see the first value is 56 and the common difference is 3 and the rule for the nth term is [tex]a_{n} =a_{1} +d(n-1)[/tex]

Therefore, its 56 + 3(n − 1)

4. For this one we solve for r and using a calculator its r = 0.04

The value of r from the given equation is 0.04. Therefore, option A is the correct answer.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

1) The given equation is 687.5=550(1+0.05t)

Here, amount=$687.5, principal (initial balance)=$550 and rate of interest =0.05×100 =5%

So, the value 550 represents the initial balance in the account, which means the account started with $550.

2) Given that, principal=$425.00, time period=9 years and rate of interest=2.7%

We know that, S.I=(P×T×R)/100

= (425×9×2.7)/100

= 103.275

Amount=103.275+425

= 528.275

≈ $528.28

3) The given arithmetic sequence is 56, 59, 62, 65, 68,.…

Here, first term (a)=56 and common difference=59-56=3

We know that, general form of arithmetic sequence is aₙ=a+(n-1)d

Now, f(n)=56+(n-1)3

4) The given equation is 816=600(1+9r)

1+9r =816/600

1+9r =1.36

9r=0.36

r=0.04

The value of r from the given equation is 0.04. Therefore, option A is the correct answer.

To learn more about the simple interest visit:

https://brainly.com/question/25845758.

#SPJ2

Answer:

Five

Step-by-step explanation:

There are 9 two-digit numbers with a units digit of 7:

17, 27, 37, 47, 57, 67, 77, 87, 97

Of these, 4 are composite numbers:

27 = 3³

57 = 3×19

77 = 7×11

87 = 3×29

The remaining 5 are prime numbers:

17, 37, 47, 67, 97

Answer:

24 Inches

Step-by-step explanation:

The length of a piece of wood that uses 8 nails as required in the task content is; 24 inches.

What is the length of a piece of wood that uses 8 nails?

It follows from the task content that the length of a piece of wood that uses 8 nails is to be determined from the task content.

After solving the equation, the value obtained for x will be equal to 1.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the information given in the question,

4 times x plus one-half equals one-half times x plus 4.

Let's write it in mathematical form,

4x + 1/2 = 1/2x + 4

Now, solve the equation for x,

4x - 1/2x = 4 - 1/2

(8x - x)/2 = (8 - 1)/2

7x/2 = 7/2

x = (7 × 2)/(2 × 7)

x = 14/14

x = 1

To know more about equation:

https://brainly.com/question/29657983

#SPJ1

Answer:  A= 52cm  B= 94mm  C= 9m  D= 17cm

Step-by-step explanation:

A) You first need to find the missing sides by doing

11-9= 2

and 15-9= 6

you then add it all together

6+2+9+9+15+11=52cm

B) You first need to find the missing sides by doing

25-18=7

and 22-6= 16

you then add it all together

25+22+18+16+7+6=94mm

C) You first need to find the missing sides by doing

0.5+1=1.5 then 2.5-1.5=1

and 1.2+0.8=2 then 2-0.5=1.5

you then add the numbers all together

1+1.5+0.8+1+0.5+0.5+1.2+2.5=9m

D) You first need to find the missing sides by doing

2.5+1= 3.5 then 3.5-2=1.5

and 1.5+2.5=4 then 5-4=1

you then add all the numbers together

2.5+2.5+1.5+1+5+2+1+1.5=17cm

The Slope of the line is -3/2

By Substituting x=26

=1/9/8*26+8/3

=-3/2

To learn more about Slope of the Line refer  to:

https://brainly.com/question/27212023

#SPJ1

Fátima tiene un total de $ 160, Gabriel tiene un total de $ 690 y José tiene un total de $ 230.

En este problema tenemos a tres personas, Fátima, Gabriel y José, que reúnen un total de $ 1.080. A continuación, traducimos las variables y ecuaciones asociadas a la situación:

x - Cantidad de dinero de Fátima.

y - Cantidad de dinero de Gabriel.

z - Cantidad de dinero de José.

Ecuaciones: Fátima, Gabriel y José tienen un total de $ 1080.

x + y + z = 1080

Gabriel tiene 3 veces lo que José tiene.

y = 3 · z

Fátima tiene $ 70 menos que José.

x = z - 70

A continuación, resolvemos el sistema de ecuaciones lineales:

x + y + z = 1080

(z - 70) + 3 · z + z = 1080

5 · z - 70 = 1080

5 · z = 1150

z = 1150 / 5

z = 230

x = z - 70

x = 230 - 70

x = 160

y = 3 · z

y = 3 · 230

y = 690

Para aprender más de sistemas de ecuaciones lineales: https://brainly.com/question/29142634

#SPJ1

Answer: [tex]2^4 \times 5[/tex]

Step-by-step explanation:

[tex]80=2 \times 40\\\\80=2 \times 2 \times 20\\\\80=2 \times 2 \times 2 \times 10\\\\80=2 \times 2 \times 2 \times 2 \times 5\\\\80=2^4 \times 5[/tex]

Answer:

Choice B:

2M + 4S = 100    

M + S = 41  

Step-by-step explanation:

2M                 [multiple choice questions were worth 2 points each]

4S                   [short answer questions were worth 4 points each]

= 100               [worth a total of 100 points.]

2M + 4S = 100    

M + S = 41     [There were 41 questions]

Answer:

Step-by-step explanation:

so you don't understand at all

Answer:

a.+1,-1

b.+√13,-√13

c.no real solutions

d.no real solutions

Step-by-step explanation:

question no c&d has no real solutions but they have complex solutions

if you are not taught about complex numbers then the Answers to c&d are no real solutions but for complex solutions

c.+3i,-3i

d.+√5i,-√5i

The odds ratio for the association between exposure to emf's and breast cancer would be (11/5) / (108/436) = 2.2.

1. Calculate the odds of exposure for cases: 11/5 = 2.2

2. Calculate the odds of exposure for controls: 108/436 = 0.25

3. Divide the odds of exposure for cases by the odds of exposure for controls: 2.2/0.25 = 8.8

4. Finally, the odds ratio for the association between exposure to EMF's and breast cancer is 2.2.

The odds ratio for the association between exposure to EMF's and breast cancer can be calculated by dividing the odds of exposure for cases by the odds of exposure for controls. To calculate this, first take the number of cases exposed (11) and divide it by the number of cases not exposed (5). This will give the odds of exposure for cases (2.2). Second, take the number of controls exposed (108) and divide it by the number of controls not exposed (436). This will give the odds of exposure for controls (0.25). Finally, divide the odds of exposure for cases (2.2) by the odds of exposure for controls (0.25). This will give the odds ratio for the association between exposure to EMF's and breast cancer (2.2).

Odds ratio = (11/5) / (108/436) = 2.2

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

Answer:

a_n = 5 × 3^(n - 1)

Step-by-step explanation:

The first term is 5. Each subsequent term is the previous term multiplied by 3.

a_1 = 5 × 3^0

a_2 = 15 = 5 × 3^1

a_3 = 45 = 5 × 3²

Notice that the exponent of the 3 is 1 less then the term number.

a_n = 5 × 3^(n - 1)

Answer:

x = 98

Step-by-step explanation:

Solve for x:

(x - 14)/7 = 12

Multiply both sides of (x - 14)/7 = 12 by 7:

(7 (x - 14))/7 = 7×12

(7 (x - 14))/7 = 7/7×(x - 14) = x - 14:

x - 14 = 7×12

7×12 = 84:

x - 14 = 84

Add 14 to both sides:

x + (14 - 14) = 14 + 84

14 - 14 = 0:

x = 84 + 14

84 + 14 = 98:

Answer:  x = 98

Net profit is a company's profit after all expenses have been deducted. What remains after deducting fixed costs from gross profit is the net profit.

Subtracting the cost function from the revenue function yields the profit function. Assume that the profit is denoted by P(x), the revenue is denoted by R(x), the cost is denoted by C(x), and x is the quantity of goods sold. Consequently, the profit function is denoted by P(x) = R(x0 - C) (x).

Total Revenue - Total Expenses = Net Profit

A company that sells online has a $350,000 revenue and a $50,000 cost of products sold.The net income formula is defined as the difference between the total revenue earned and the total costs.Total revenue minus all costs equals net income.

The money a corporation makes after deducting interest, operational costs, and taxes over a specific time period is known as net profit.Profit After Tax is another name for Net Profit (PAT).

To learn more about net profit refer to :

https://brainly.com/question/13788133

#SPJ1

The shirt that Brian can iron in a minute is 5/81 shirts.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In this case, when we have a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

Here, Brian irons 2/9 of his shirt in 3 3/5 minutes and it was stated that he irons at a constant speed

Therefore, to calculate the shirt he iron in a minute will go thus:

Here, set up a proportion (shirt ironed/minutes = shirt ironed/minutes). This will be illustrated as:

= 2/9 ÷ 3 3/5

= 2/9 ÷ 18/5

= 2/9 × 5/18

= 10 / 162

= 5 /81

The Fraction that illustrates the information is 5/81.

Learn more about fractions on:

https://brainly.com/question/78672

#SPJ1

Complete question

Brian irons 2/9 of his shirt in 3 3/5 minutes. If Brian irons at a constant speed how much of his shirt does he iron in a minute

Answer:

5

Step-by-step explanation:

2 +3 = 5    

TRUE: The given contrapositive statement are correct,

If m ≤ 3, then, m < 5.

For the stated conditional statement -

If m ≤ 3, then, m < 5.

Then, contrapositive statement for the given statement will be

(m < 5)' ⇒ (m ≤ 3)'

That is;

(m > 5) ⇒ (m > 3)

That is, if m> 5 then, m > 3, which is true.

Thus, the contrapositive statement for the given conditional statement is true.

To know more about the contrapositive statement, here

https://brainly.com/question/1713053

#SPJ1