Find the following values: a) P(5.009<χ 2
<15.984), where χ 2
is a chi-square distributed random variable with 13 degrees of freedom. b) f .99;27,12
​

Answer:

8

Step-by-step explanation:

Answer:

40 feet

Step-by-step explanation:

24^2+32^2=x^2

solve for x

x=40 feet

The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

To learn more about rational function

brainly.com/question/27914791

#SPJ4

Answer:

A question you will ask the people in your sample.

Answer:

caroline had a heart attack

Step-by-step explanation:

after reading this THING

no offence

Answer:

The answer is graph D

Step-by-step explanation:

Starting at trigangle ABC apply a 90-degree rotation. This puts the triangle in quadrant 1 (Q1/the top right). So this leaves you with graphs A,C or D left. The eaiest way to see the orientation of the shape wuold be to turn the page 90-degrees clockwise.

Then staring from the triangle in Q1 reflect over the x-axis. This is the tranformation of the image folded over the horizontal axis. So it would place the triangle into quandant 4 (Q4/ bottom right) and would give the answer as graph D.

The following values are: 1) 9/10, 2) 1/10, 3) 24/100, 4) 21/100, 5) 1/10, 6) 15/100

There are a few steps for writing decimals in grids:

Step 1: Count how many grids are completely shaded. This will be the number for your one digit.

Step 2: In the grid that is partially shaded, count how many parts are shaded and how many total parts there are.

If the grid has 10 total parts, the number of shaded parts will be your tenth digit.

If the grid has 100 total parts, the number of shaded parts will end in the hundredth place.

Step 3: Combine your numbers from steps 1 and 2 to create the decimal that the grids represent.

As per the steps now we can calculate the decimal numbers:

0.9/100=0.9/10

0.1/100=1/10

0.24/1000=24/100

0.21/1000=21/100

0.15/1000=15/100.

To know more about grid values:

https://brainly.com/question/24671483

#SPJ4

The smallest measurement used in the apothecary system for volume is the minim.

The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.

In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.

The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.

However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.

To know more about volume click here

brainly.com/question/28338582

#SPJ11

A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

Learn more about computer program

brainly.com/question/14588541

#SPJ11

Harry will have a gross margin of $5,290.

If the cost of each shirt is $12.90 and 1,000 shirts are purchased, then the total cost of 1,000 shirts is:

$12.90 x 1,000 = $12,900

If Harry sells 800 shirts at a 50% markup, then he sells them for:

$12.90 x 1.5 = $19.35

Harry sells the 200 remaining shirts at a 30% reduction from the selling price:

$19.35 x 0.7 = $13.55

The gross margin (markup) is the difference between the selling price and the cost per shirt. For the 800 shirts sold at a markup, the gross margin per shirt is:

$19.35 - $12.90 = $6.45

So the gross margin for the 800 shirts is:

$6.45 x 800 = $5,160

For the 200 shirts sold at a discount, the gross margin per shirt is:

$13.55 - $12.90 = $0.65

So the gross margin for the 200 shirts is:

$0.65 x 200 = $130

Therefore, the total gross margin for all 1,000 shirts is:

$5,160 + $130 = $5,290

Harry will have a gross margin of $5,290.

Learn more about :

gross margin : brainly.com/question/14721252

#SPJ11

Answer:

Sorry for being late it is 3.5 Or In a mixed Fraction 3\(\frac{1}{2}\)

Step-by-step explanation:

I took the test Hope this helps :D

Monique needs 30 ounce orange juice with the 20 ounce pineapple juice to maintain the ratio of pineapple juice.

How much quantity of orange juice does Monique need to maintain the ratio of pineapple to orange juice?

Given that,

Quantity of pineapple juice by 20 people = 32 ounces

Quantity of orange juice by 20 people = 48 ounces

Consider the quantity Monique needs = x

Therefore, their ratio is as follow

⇒ 20/x  =  32/48

⇒ 20/x  =  2/3

⇒     x=60/2

⇒     x=30

Hence Monique needs 30 ounce orange juice with the 20 ounce pineapple juice to maintain the ratio of pineapple juice.

Learn more about calculation of ratio visit:

https://brainly.com/question/25927869

#SPJ1

Answer:

25 hits

Step-by-step explanation:

you would divide 1000 by 40 and get 25

Answer:

x = 45

y = 45

z = 11.1

Step-by-step explanation:

Remark

The triangle is a right triangle. That means that it has 1 right angle.

It is also isosceles which means that the two legs that are not the hypotenuse are equal.

Result: z and 11.1 are equal z = 11.1

More remark

If the triangle is isosceles, that means that the angles that are not right angles must also be equal.

90 + x + y = 180

but x = y

90 + 2x = 180                  Subtract 90

2x = 180 - 90                   Divide by 2

2x/2 = 90/2

x = 45

To check your work when dividing with fractions, convert the division to multiplication by using inverse operations. Multiply the dividend by the reciprocal of the divisor to find the product. Simplify and compare the quotient. If correct, the product and quotient will match.

When dividing with fractions, you can use your knowledge of whole number division to check your work. Here's how you can do it:

Identify the dividend, which is the number being divided, and the divisor, which is the number you are dividing by.

Convert the fractions into improper fractions if needed, by finding the product of the whole number and the denominator, and then adding the numerator.

Use inverse operations to change the division into multiplication. Instead of dividing by a fraction, multiply by its reciprocal (the divisor becomes the reciprocal or inverse of the fraction). This is similar to how in whole number division, you multiply by the reciprocal of the divisor.

Multiply the dividend by the reciprocal of the divisor (or the inverse fraction). This will give you the product.

Simplify the product if necessary and express it as a fraction in its simplest form.

Compare the quotient you obtained with your original division. They should be equal. If they are not, you may have made an error in your division calculation.

By using these steps and your understanding of whole number division, you can check your work when dividing with fractions. It allows you to verify that the quotient obtained through fraction division matches the result you would obtain using whole number division principles.

for such more question on inverse operations

https://brainly.com/question/15066392

#SPJ8

The region described by the equation f = {(r, θ, z) | 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, r^2 ≤ z ≤ 8 - r^2} can be visualized as a cylindrical volume with specific constraints on the radius, angle, and height.

The given equation f = {(r, θ, z) | 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, r^2 ≤ z ≤ 8 - r^2} represents a region in three-dimensional space. Let's describe this region using set notation and cylindrical coordinates.

In set notation, we can represent the region as:

f = {(r, θ, z) : 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, r^2 ≤ z ≤ 8 - r^2}

This notation indicates that the set f consists of all points (r, θ, z) such that the conditions 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, and r^2 ≤ z ≤ 8 - r^2 are satisfied.

In cylindrical coordinates, we can describe the region as follows:

0 ≤ r ≤ 2 - This represents the radius or distance from the z-axis. The values of r range from 0 to 2.

0 ≤ θ ≤ 2π - This represents the angle or rotation around the z-axis. The values of θ range from 0 to 2π, covering a full revolution.

r^2 ≤ z ≤ 8 - r^2 - This represents the height or distance along the z-axis. The values of z depend on the value of r. For each value of r, z ranges from r^2 to 8 - r^2.

Combining these conditions, we can describe the region as a cylindrical shape bounded by the circular base with radius 2, extending along the z-axis from r^2 to 8 - r^2, and covering a full revolution around the z-axis.

Overall, the region described by the equation f = {(r, θ, z) | 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, r^2 ≤ z ≤ 8 - r^2} can be visualized as a cylindrical volume with specific constraints on the radius, angle, and height.

Learn more about volume here:

brainly.com/question/6204273

#SPJ11

Answer:

43in [squared]

Step-by-step explanation:

i counted and theres more than 40 so

Answer: D

Step-by-step explanation:

In an isosceles triangle, if Angle DBC has a measure of 110 degrees and angle BDA has a measure of 22 degrees, then the measure of angle BAC is 48 degrees.

A triangle with two equivalent sides and angles with equal measures on opposing sides is said to be isosceles.

Triangle BAC's angles should be labelled as follows:

Angle BAC = x

Angle ABC = y

Angle BCA = z

Because a triangle's angles sum up to 180 degrees,

x + y + z = 180

As ACD and BCD are isosceles triangles,

angle DBC = angle DCB = 110 degrees

Because BDA and DBC are a pair of linear angles,

angle BDA + angle DBC = 180 degrees

Using values for angles DBC and BDA and substituting them,

22 + 110 = 180

By finding y,

y = 180 - 22 - 110

When the value of y is substituted in the equation x + y + z = 180,

x + (180 - 22 - 110) + z = 180

Solving for x,

x = 180 - (180 - 22 - 110) - z

Substituting the value of z = 180 - (22 + 110),

x = 180 - (180 - 22 - 110) - (180 - 22 - 110)

To know more about isosceles triangle, visit

brainly.com/question/2456591

#SPJ1

To determine the slope of the tangent to the curve y = 2sin(x) + sin'(x) at various points, we need to differentiate the given function.

The derivative of y with respect to x is:

y' = 2cos(x) + cos'(x)

Now, let's evaluate the slope of the tangent at the given points:

a) When x = 0: Substitute x = 0 into y' to find the slope.

b) When x = 3/4: Substitute x = 3/4 into y' to find the slope.

c) When x = 323.5: Substitute x = 323.5 into y' to find the slope.

d) When x = 3+2/3: Substitute x = 3+2/3 into y' to find the slope.

By substituting the respective values of x into y', we can calculate the slopes of the tangents at the given points.

Learn more about slopes of the tangents here:

https://brainly.com/question/32393818

#SPJ11

The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

To know more about expressions visit :

https://brainly.com/question/28170201

#SPJ11

About twice as likely is a 16-year-old driver to crash with two passengers as opposed to with no passengers.A 16 or 17-year-old driver has a higher risk of dying every mile they drive compared to operating a vehicle alone. increases by 44% when one of the passengers is under the age of 21. while transporting two passengers who are under 21 in doubles.

To learn more about crash with two passengers refer to:

https://brainly.com/question/26728739

#SPJ1

16-year-old driver to crash with two passengers as opposed to with no passengers is about twice as likely.

The complete question is,

According to the chart, approximately how many times more likely is a 16-year-old driver to crash with two passengers as opposed to with no passengers?

just as likely

about twice as likely

about three times more likely

about four times more likely

To learn more about crash with two passengers refer to:

brainly.com/question/26728739

#SPJ1

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

4x-11=89

4x=89+11

4x=100

x= 25

I hope this will help

The values of variables in the kite is - x = 35°, y = 12.5°. The angles measures of the kite are ∠a = 110°, ∠b = 12.5°, ∠c = 5° and ∠d = 110°.

What is a kite?

A kite is a quadrilateral having reflection symmetry across a diagonal in Euclidean geometry. A kite has two equal angles and two pairs of adjacent equal-length sides as a result of its symmetry. Another name for kites is deltoids.

The given angles of the kite are -

∠a = (3x+5)°

∠b = y°

∠c = (2y-20)°

∠d = (4x-30)°

According to the properties of kite -

The two angles are equal where the unequal sides meet.

So, ∠a = ∠d

(3x+5)° = (4x-30)°

3x - 4x = -30 - 5

-x = -35

x = 35°

Substituting to find the value of ∠a -

∠a = (3x+5)°

∠a = [3(35)+5]°

∠a = (105+5)°

∠a = 110°

Substituting to find the value of ∠d -

∠d = (4x-30)°

∠d = [4(35)-30]°

∠d = (140-30)°

∠d = 110°

According to the properties of the kite ∠ADC = 90°.

So, ∠c = 90°/2 as line BD is a bisector.

(2y-20)° = 90°/2

2(2y-20)° = 90°

(4y - 40)° = 90°

4y = 90° - 40°

4y = 50°

y = 12.5°

Substituting to find the value of ∠b -

∠b = y°

∠b = 12.5°

Substituting to find the value of ∠c -

∠c = (2y-20)°

∠c = [2(12.5)-20]°

∠c = (25-20)°

∠c = 5°

Therefore, the value of angles are ∠a = 110°, ∠b = 12.5°, ∠c = 5° and ∠d = 110°.

To learn more about kite from the given link

https://brainly.com/question/23279609

#SPJ1

Answer:

\(P(A ) \times P( B) = 0.45 \times 0.2 \\ = 0.09\)

They are not independent

Standard deviation for the given set of data { 6,7,8,9,10} is equal to √2.

As given in the question,

Given set of data is equal to :

{ 6,7,8,9,10}

\(x_{i}\) = { 6,7,8,9,10}

Here total number of observation 'N' is equal to 5.

Mean \(\bar{x}\) = ∑x / n

            = ( 6+ 7+ 8 + 9 + 10 ) / 5

            = 40 /5

            = 8

\(\sum (x_{i} -\bar{x})^{2}\) = ( 6- 8)² + (7-8)² + (8 - 8)²+ ( 9 -8)² + (10 - 8)²

                 = 4 + 1+ 0 + 1+ 4

                 = 10

Standard deviation = \(\sqrt{ \frac{\sum (x_{i} -\bar{x})^{2}}{N}\)

                                = √10/5

                                = √2

Therefore, standard deviation for the given set of data { 6,7,8,9,10} is equal to √2.

Learn more about standard deviation here

brainly.com/question/14747159

#SPJ4

Answer:

Are there certain options?

Step-by-step explanation:

2^5 is in other words 2x2x2x2x2

the answer to this is 32

Hope I helped?

Answer:

32

Step-by-step explanation:

0900 military time is 9:00 AM in the 24-hour time format used by the military, also known as the 24-hour clock.

The 24-hour clock is a timekeeping system that uses a continuous count of 24 hours, instead of two sets of 12 hours for AM and PM. In this system, each hour of the day is numbered from 0 to 23, and is referred to as "military time" or "24-hour time". So, 0900 military time is equivalent to 9:00 AM, with the "0" indicating the first hour of the day. This system is commonly used in the military, as well as in other fields where precise and standardized timekeeping is important, such as aviation and public transportation.

To learn more military time click here

brainly.com/question/30387466

#SPJ4

(a) Isla's trading cards are 125% of Lily's trading cards.

(b) Lily's trading cards are 80% of Isla's trading cards.

Given that,

There are 225 trading cards and Lily has 180 trading cards.

To calculate the percentage of Isla's trading cards compared to Lily's,

We can use this formula:

⇒ Isla's trading cards / Lily's trading cards x 100%

Plugging in the values we get:

⇒ (225 / 180) x 100% = 125%

Therefore,

Isla's trading cards are 125% of Lily's trading cards.

b) To calculate the percentage of Lily's trading cards compared to Isla's, we can use the formula:

⇒ Lily's trading cards / Isla's trading cards x 100%

Plugging in the values we get:

(180 / 225) x 100% = 80%

Therefore,

Lily's trading cards are 80% of Isla's trading cards.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

Answer:

3 r 2 +9 r − 120

Step-by-step explanation:

Write the problem as a mathematical expression.

3 r ^2 + 9 r− 120

Factor  3  out of  3 r ^2 + 9 r − 120 .

Factor  3 out of  3 r ^2 .

3 ( r ^2 ) + 9 r − 120

Factor  3  out of  9 r .

3 ( r^ 2 ) + 3( 3 r ) − 120

Factor  3  out of  − 120 .

3 r ^2 + 3( 3 r ) + 3 ⋅ − 40

Factor  3 out of  3 r 2 + 3 ( 3 r ) .

3 ( r^2 + 3 r )+ 3 ⋅ − 40

Factor  3 out of  3 ( r 2 + 3 r ) + 3 ⋅ − 40 .

3 ( r^ 2 + 3 r − 40 )

Factor.

Factor  r^ 2 + 3 r − 40 using the AC method.

3 ( ( r − 5 ) ( r + 8 ) )

Remove unnecessary parentheses.

3 ( r − 5 ) ( r + 8 )

Hope this helps! :)