HELP PLEASE HELP AND HURRY

The value of P(S or T) is 71/110.

What is mutually exclusive event?

If two events cannot happen simultaneously, they are mutually exclusive or discontinuous. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

As given,

S and T are mutually exclusive events. P(S)= 6/11 , P(T)= 1/10.

By using,

P(S ∪ T) = P(S) + P(T) - P(S ∩ T)

              = 6/11 + 1/10 - P(S ∩ T)

              = 71/110 - P(A ∩ T)

But the events S and T are mutually exclusive events.

therefore,  P(S ∩ T) = 0.

So,

P(S ∪ T) = 71/110

Therefore, value of P(S or T) is 71/110.

To know more about the mutually exclusive event, click on the link

https://brainly.com/question/27588497

#SPJ1

Answer:

No, both values are equal.

Step-by-step explanation:

To compare the two values, we need to convert them to the same units.

108% of 2 can be calculated as:

108/100 * 2 = 2.16

1.08% of 200 can be calculated as:

1.08/100 * 200 = 2.16

Since both values are equal to 2.16, we can say that 108% of 2 is equal to 1.08% of 200.

Answer:  B   28√15

Step-by-step explanation:

They want you to find the Area of the quadrilateral.  But if you can find the area of 1 trangle then you can double it because the 2 triangles are congruent.

We know the 2 triangles are congruent from the theorem  (see diagram

We also know that  QR=TR=SR  They are all radius

Let's solve for triangle PRS

PR = hypotenuse = 10+7 =17

SR=7  radius

Use pythagorean to find PS

c²=a²+b²

17²=7²+b²

289 = 49 + b²

b²=289 -49

b² = 240

b=√240

b=\(\sqrt{16*15}\)

b= 4√15  This is PS

Area of triangle = 1/2 bh       b=PS   h=7

Area of triangle = 1/2 (4√15)(7)

Area of triangle = (2√15)(7)

Area of triangle = 14√15

Area of quadrilateral = 2 (14√15)        > 2 triangles make the quadrilateral

Area of quadrilateral =  28√15

The perimeter of triangle ABC with point A(-2,1) , B(-6,-3) and C(-4,4)  is 4√2 + √53 + √13

To find the perimeter of triangle ABC, we need to find the distance between its three vertices.

Using the distance formula, we can find the length of each side of the triangle.

AB = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-6 - (-2))² + (-3 - 1)²]

= √[(-4)² + (-4)²]

= √32

= 4√2

BC = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-4 - (-6))² + (4 - (-3))²]

= √[2² + 7²]

= √53

AC = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-4 - (-2))² + (4 - 1)²]

= √[2² + 3²]

= √13

Therefore, the perimeter of triangle ABC is:

Perimeter = AB + BC + AC

= 4√2 + √53 + √13

To learn more about perimeter click on,

https://brainly.com/question/15791794

#SPJ1

We are given two rational expressions: one with (y² - 13y + 36) in the numerator and (y² + 2y – 3) in the denominator, and the other with (y² - y – 12) in the numerator and (y² - 2y + 1) in the denominator. We need to simplify these rational expressions.

Simplifying the first rational expression:
The numerator of the first expression, y² - 13y + 36, can be factored as (y – 4)(y – 9).
The denominator, y² + 2y – 3, can be factored as (y + 3)(y – 1).
Therefore, the first rational expression simplifies to (y – 4)(y – 9) / (y + 3)(y – 1).

Simplifying the second rational expression:
The numerator of the second expression, y² - y – 12, can be factored as (y – 4)(y + 3).
The denominator, y² - 2y + 1, can be factored as (y – 1)(y – 1) or (y – 1)².
Therefore, the second rational expression simplifies to (y – 4)(y + 3) / (y – 1)².

By factoring the numerator and denominator of each rational expression, we obtain the simplified forms:

First rational expression: (y – 4)(y – 9) / (y + 3)(y – 1)
Second rational expression: (y – 4)(y + 3) / (y – 1)²

These simplified expressions are in their simplest form, with no common factors in the numerator and denominator that can be further canceled.


Learn more about rational expressions here : brainly.com/question/30488168

#SPJ11

The two necessary instance variables for representing a fraction would be the numerator and the denominator.

The numerator represents the top part of the fraction indicating the number of equal parts being considered. The denominator represents the bottom part of the fraction indicating the total number of equal parts the whole is divided into.

These two variables are crucial for accurately representing and performing operations on fractions such as addition, subtraction, multiplication, and division. They allow for precise manipulation and comparison of fractional values within a programming class.

Read more about fraction

brainly.com/question/17220365

#SPJ4

Answer:

The thickness of one copy paper is 0.004 inches.

Step-by-step explanation:

Do the math. 2/500 = 1/250 = 0.004

Answer:

Straight along the horizontal axis

Step-by-step explanation:

Hope this helped :)

Answer:

THE CORRECT ANSWER IS D " THE THEORETICAL PROBABILITY OF PULLING A BLUE PEN BASED ON THE EXPECTED FREQUENCY WILL GET CLOSER TO 1/2 AS THE NUMBER OF TRIALS INCREASES. "

Answer: 39.52 cm

Step-by-step explanation: If you multiply 5.2 and 7.6 you would get 39.52 cm.

The solution is

A) The vertical asymptote of the function f ( x ) is = -3

B) The holes in the graph of f ( x ) = ( 0 , 6 )

C) The horizontal asymptote of the function f ( x ) is = 6

An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote. When graphing functions, asymptotes are typically not required

There are 3 types of asymptotes

Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k. Horizontal Asymptote is when the function f(x) is tending to zero

Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k. Vertical asymptotes are defined when the denominator of a rational function tends to zero

Slanting asymptote (Oblique asymptote) - It is a slanting line and hence its equation is of the form y = mx + b

here, we have,

Given data ,

Let the function be f ( x ) = ( 6x² + 6x - 36 ) / ( x² + 3x )

A)

Now , to find the vertical asymptote

To find the vertical asymptote of a rational function, we simplify it first to lowest terms, set its denominator equal to zero, and then solve for x values

So , when x² + 3x = 0

x ( x + 3 ) = 0

So , x + 3 = 0

x = 0 is a hole in the graph

x = -3 is the vertical asymptote

B) The hole in the graph is ( 0 , 6 )

C)

Now , to find the horizontal asymptote

If both the polynomials have the same degree, divide the coefficients of the leading terms

So , 6x² and x² are the polynomials having the same degree

So , the coefficients are 6 and 1

y = (leading coefficient of numerator) / (leading coefficient of denominator)

y = 6 is the horizontal asymptote

Hence ,

A) The vertical asymptote of the function f ( x ) is = -3

B) The holes in the graph of f ( x ) = ( 0 , 6 )

C) The horizontal asymptote of the function f ( x ) is = 6

To learn more about asymptotes click :

brainly.com/question/27871406

#SPJ5

Complete question:

Find the following for the rational function

f (x) =6x²+62-36/x²+3

A. Find the vertical asymptote(s) of f.

B. Find the (x, y) coordinates of any holes in the graph of f.

C. Find the horizontal asymptote(s) of f.

The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.

This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.

We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.

This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.

We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.

To learn more about proportion visit:

https://brainly.com/question/1496357

#SPJ4

Answer:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation that creates a smaller image is called a reduction. A dilation stretches or shrinks the original figure.

Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer:

4. 3

5. 5

Step-by-step explanation:

Let x = number of blocks in a bag.

4.

Left side = 2 bags & 7 blocks

Right side = 1 bag & 10 blocks

The beam is balanced, so the weights of the two sides are equal.

2x + 7 = x + 10

x = 3

There are 3 blocks in a bag.

5.

Left side = 3 bags & 6 blocks

Right side = 4 bags & 1 block

The beam is balanced, so the weights of the two sides are equal.

3x + 6 = 4x + 1

-x = -5

x = 5

There are 5 blocks in a bag.

Answer: 4. x+3x=x+1x

              5. x+3=4+3x

Answer:

x = 42

Step-by-step explanation:

x - 10 = 32

32 + 10 = 42

Answer:

-8

Step-by-step explanation:

Hello!

What we do to one side of the equation we do to the other side

7 * p = -56

Divide both sides by 7

p = -8

The answer is -8

Hope this helps!

Answer:

To find the monthly interest rate as a percentage, we need to first convert the annual interest rate from decimal to percentage, and then divide by 12 (since there are 12 months in a year).

The annual interest rate is given as 4% (1.04 in decimal form).

So, the monthly interest rate as a percentage would be:

((1.04 - 1) / 12) x 100 = 0.33%

Therefore, Robert's savings account earns a monthly interest rate of 0.33%.

Answer:

4.5

Step-by-step explanation:

\(36 \times 12.5\% \\ = 4.5\)

Answer:

4.5

Step-by-step explanation:

\(12.5\% = 0.125\\\mathrm{of} = Multiply\\= 0.125 \times 36\)

Re-think the equation as if you were multiplying wholes

\(= 125 \times 36\\= 4500\\= 4.500\)

Hope this helps! Have a good day. :)

Answer:

5894.82 ft^3

Step-by-step explanation:

We have to split the figure into two parts and then find the volume of both and add. The figure is split into a cylinder and hemisphere. The volume of the cylinder is 4823.04 ft^3 because the formula to find the volume of a cylinder is pi(r^2)h. The volume of the hemisphere is 1071.78 ft^3. Now, we have to add those volumes to get our final answer. 4823.04 + 1071.78 = 5894.82.

If x=k is a zero of a polynomial, then (x-k) is a factor in the polynomial.

So with roots at x = -2 , x = 3, and x = 5, you have

   (x+2)·(x-3)·(x-5)

Now the "double root" means that you have that factor twice

   (x+2)·(x-3)·(x-5)·(x-5)

but we'd normally write that with an exponent:

   (x+2)·(x-3)·(x-5)^2

So y = (x+2)·(x-3)·(x-5)^2 is your equation.

Answer:

$899.54

Step-by-step explanation:

To find the cost of sod for a trapezoid shaped yard, we need to first find the area of the trapezoid. The formula for the area of a trapezoid is:

Area = (1/2) * h * (b1 + b2)

where h is the height of the trapezoid and b1 and b2 are the lengths of the bases.

Substituting the given values, we get:

Area = (1/2) * 46 ft * (78 ft + 111 ft)

= (1/2) * 46 ft * 189 ft

= 4274 ft^2

To find the cost of sod for this area, we need to multiply the area by the cost per square foot of sod. The cost will be:

Cost = 4274 ft^2 * $0.21/ft^2

= $899.54

So the cost of sod for this yard will be $899.54.

Answer: Min, 0/ Max, 12/ Q2 or Median 6/ Q1, 3/ Q3, 8.5

Step-by-step explanation: First order them. The median is the one in between 5 and 7 (which is 6). Then you take the other halves on the side and do the same thing.

Hope this helps  : D

Answer:

-10p-5p+24

Step-by-step explanation:

-6p-3r+15-4p-2r+9

-10p-5p+24

Answer:

Step-by-step explanation:

A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:

y = A * cos(B * x) + C * sin(D * x)

In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

To know more about notation visit:

https://brainly.com/question/29132451

#SPJ11

Answer:

(-1, 2)

Step-by-step explanation:

1.) The way to use elimination is to add or subtract both of the equations together to eliminate a variable. If we add the two equations together, the -6x and 6x cancel out. Since we added the equations together, -12y and 10y would add up to -2y, and -18 and 14 would add up to -4

2.) Now, we have the equation -2y = -4. By dividing by -2 on both sides, we get y=2.

3.) Next, we need to substitute y back in to get the x value. If you use the first equation, we get -6x - 12 * 2 = -18.

4.) By simplifying, you get that -6x - 24 = -18. If you add 24 on both sides, you get -6x = 6, and by dividing by -6 on both sides, you get x = -1.

5.) Finally, you have to put the answer in form of a point. -1 would be the x-coordinate and 2 would be the y-coordinate. Therefore, the point is (-1, 2)

Answer:

See below

Step-by-step explanation:

Angle a       cos = adj leg / hyp  

                    arcos(28/35) = a = 36.9 °

angle b        you could just say    

                            a + 90 + b = 180°     (angles in triangle sum to 180 )

                                                        36.9 + 90 + b = 180      b = 53.1°

         or   angle b = arcsin (opp/hyp) = arcsin (28/35) = 53.1°

Answer:

\(74.1\)$

Step-by-step explanation:

\( \frac{x}{57} = \frac{30}{100} \)

\((x)100 = (30)57\)

\((x)100 = 1710\)

\( \frac{(x)100}{100} = \frac{1710}{100} \)

\(x = \frac{1710}{100} \)

\(x = 17.1\)

\(57 + 17.1 = 74.1\)

\(74.1\)$