Find the area of each part of the figure and the whole figure

Answer:The error in #1 is that it should read "3x²•(-2x⁴)=3•(-2)•x²⁴=6x⁸". The error in #2 is that it should read "4a²•3a⁵=4•a²•3•a⁵=12a⁷". The error in #3 is that it should read "x⁶•x³=x⁶•x³=x⁹". The error in #4 is that it should read "3⁴•2³=3⁴•2³=24".

Step-by-step explanation:

easy

Option (D) is correct. The approximate arc length of one slice of pie is 5.24 inches.

Assuming that the pie is cut into equally sized slices, we can use the formula for the arc length of a circle sector:

Arc length = (angle/360) x 2πr

where r is the radius of the circle, and angle is the central angle of the sector in degrees.

Since the diameter of the pie is 10 inches, the radius is half of that, or 5 inches. To find the central angle of one slice of pie, we need to know how many slices the pie is cut into. Let's assume it's cut into 6 slices, which means each slice is a sector with a central angle of 60 degrees (360 degrees / 6 slices).

Now we can calculate the arc length of one slice:

Arc length = (60/360) x 2π(5) = π(5/3) ≈ 5.24 inches

Therefore, the answer is (D) 5.24 inches.

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Answer: -8 + (-4 )(look at the image for the solution)

Step-by-step explanation:

The probability of getting at least one nun in three spins of a dreidel is approximately 0.578

The probability is the ratio of number of favorable outcomes to the total number of outcomes

The probability of getting no nuns in a single spin is 3/4, since there are three non-nun letters (Gimel, Hei, Shin) and four total letters.

The probability of getting no nuns in three spins is then (3/4)^3, since the spins are independent and we can multiply probabilities of independent events.

So the probability of getting at least one nun in three spins is

= 1 - (3/4)^3

= 1 - 0.421875

= 0.578125

Therefore, the probability of getting at least one nun is 0.578

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The given question is incomplete, the complete question is:

A dreidel is a four-sided spinning top with the Hebrew letters nun, gimel, hei, and shin, one on each side. Each side is equally likely to come up in a single spin of the dreidel. Suppose you spin a dreidel three times. Calculate the probability of getting (a) at least one nun?

a. The percentage of the department faculty have 5 or more years of service is 76%

b. Probability that a faculty member chosen at random has between 5 and 35 years of service is 0.4.

c. The probability the representative will have less than 5 years of service given that the person has less than 15 years of service is 0.7.

The histogram is used to estimate probability of a categorical variable or probability of frequency of a particular class interval, and there is no gap among the bars of the histogram.

(a) The per cent of the department faculty have 5 or more years of service is calculated as follows,

The number of department faculty have 5 or more years of service is 38 and total frequency 50, therefore the required probability is:

P(x > 5) = 38/50 = 0.76 = 76%

(b) The probability (in decimal form) of representative will have between 5 and 35 years of service is given as,

P(5 < X < 35) = 20/50 = 0.4 = 40%

(c) The probability the representative above will have less than 5 years of service given that the person has less than 15 years of service is calculated as follows,

P(X < 5 | X < 15) = 28/40 = 0.7

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For complete question, see the figure.

Answer:

8

Step-by-step explanation:

0.06/48=800 0.01x800=8

There were total 4 people at table A and each of them pay €18.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Table A's bill of €72 is split equally.

and, Table B has two more people than Table A and its bill of €108 is also split equally.

let number of people at table A be x and at table B be (x+2).

So, the number of people

x/ 72 = (x+2)/108

108x = 72x + 144

108x - 72x = 144

36x= 144

x=4

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The number of green rugs is more than the number of purple rugs. Then the amount of blue rug will be 29/4 square units.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Nina buys a new rug that matches three colors in her bedroom. The rug is a rectangle. There are eight squares on the rug. Four-eighths of the squares are green. One-fourth of the squares are purple.

The amount of green rug is given as,

⇒ 4/8

⇒ 1/2 square units

The amount of purple rug is given as,

⇒ 1/4 square units

The number of green rugs is more than the number of purple rugs.

The amount of blue rug is given as,

⇒ 8 - 1/4 - 4/8

⇒ (64 - 2 - 4) / 8

⇒ 29/4 square units

The number of green rugs is more than the number of purple rugs. Then the amount of blue rug will be 29/4 square units.

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a) The prior probability that the selected person is a male is 0.51

b) The probability that the selected subject is a male is 92.9%.

We start by using the given information that 51% of adults in Orange County are males. We can interpret this as the prior probability of selecting a male adult randomly, which we denote by P(M). Since we know that there are only two genders, the probability of selecting a female adult is simply 1 - P(M), which is 49%.

a) To find the prior probability that the selected person is a male, we simply use the information given to us. Thus, P(M) = 0.51 and P(F) = 0.49, where F denotes the event of selecting a female adult.

b) We are given new information that the selected survey subject was smoking a cigar. We denote the event of selecting a smoker by S. We are also given the conditional probabilities of cigar smoking given the gender of the adult. Specifically, P(S|M) = 0.095 and P(S|F) = 0.017, where the vertical bar denotes the conditional probability.

We want to find the probability that the selected subject is a male given that they were smoking a cigar, denoted by P(M|S). We can use Bayes' theorem to update our prior probability based on this new information:

P(M|S) = P(S|M) x P(M) / P(S)

To find P(S), we can use the law of total probability, which states that the probability of an event can be obtained by summing over all possible ways it can occur. Thus,

P(S) = P(S|M) x P(M) + P(S|F) x P(F)

We can substitute the values given to us to find that:

P(S) = 0.095 x 0.51 + 0.017 x 0.49

P(S) = 0.05212

Using this value, we can now calculate the probability that the selected subject is a male given that they were smoking a cigar:

P(M|S) = P(S|M) * P(M) / P(S)

P(M|S) = 0.095 * 0.51 / 0.05212

P(M|S) = 0.929

This means that given the new information that the selected subject was smoking a cigar, the probability that they are a male is 92.9%.

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Complete question:

In Orange County, 51% of the adults are males. (It doesn't take too much advanced mathematics to deduce that the other 49% are females.) One adult is randomly selected for a survey involving credit card usage.

a) Find the prior probability that the selected person is a male.

b) It is later learned that the selected survey subject was smoking a cigar. Also, 9.5% of males smoke cigars, whereas 1.7% of females smoke cigars (based on data from the Substance Abuse and Mental Health Services Administration).

Use this additional information to find the probability that the selected subject is a male.

An algebraic expression that represents the number of crayons that Jeremiah has is: B. 2s + 3.

In order to write an equation that model this situation, we would assign variables to the total number of pencils that Jeremiah has and the total number of pencils that Spencer has respectively, and then translate the word problem into algebraic equation as follows:

Since Jeremiah has three more than twice as many pencils as Spencer, a linear equation that models this situation correctly include the following:

J = 2s + 3

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The number of total outcomes is 12.

Here is a tree diagram for the pizza options:

Copy code

     /  |  \

 Thick Thin

  /     |     \

Red White Red White

/  |  \   / |  \   / |  \

Pep Saus Veg Pep Saus Veg Pep Saus Veg

There are two (2) options for the crust, two (2) options for the sauce, and three (3) options for the topping. Therefore, the total number of outcomes is:

Total Outcomes = 2 (options for crust) x 2 (options for sauce) x 3 (options for topping)

Total Outcomes = 12

Therefore, there are 12 total outcomes.

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Answer:

Step-by-step explanation:

48----------------100%

x------------------75%

x=36

Answer:

51

Step-by-step explanation:

26 possible letters for each of the first two positions and 10 possible digits for each of the last 4 positions gives a total of 676,000,000 license plates.

(1) 26 possible letters for each of the first two positions and 10 possible digits for each of the last 4 positions gives a total of

26 x 26 x 10 x 10 x 10 x 10 = 676,000,000 license plates.

(2) The number of possible license plates where the digits must be different is the number of permutations of 10 items taken 4 at a time, or 10P4 = 5040. Multiplying by 26 x 26 gives a total of

5040 x 26 x 26 = 3,636,160 possible license plates.

(3) To find the number of license plates that begin with "A" and don't have a 7, we first find the number of license plates that start with "A" and don't have any restriction on the last 4 digits. This is

26 x 10 x 10 x 10 x 10 = 676,000

Then, we find the number of license plates that have a 7, which is

9 x 26 x 10 x 10 = 23,760

Subtracting this from the total number of license plates that start with "A" gives us

676,000 - 23,760 = 652,240 possible license plates.

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The equation will be solved x = 2.

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

The given equation 2/[tex]2^{(4-3x)}[/tex] = 8

[tex]2^{(4-3x)}[/tex]  = 2/8

[tex]2^{(4-3x)}[/tex] = 2⁻²

So we can take 4-3x = -2

3x = 4+2

x = 6/3 = 2

Hence, the equation will be solved x = 2.

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The factor of the expression is (3x²+ 5)(x + 3)

From the question, we have the following parameters that can be used in our computation:

3x³ + 9x² + 5x + 15

Group the terms in two's and factor each term

Using the above as a guide, we have the following:

3x²(x + 3) + 5(x + 3)

Factor out x + 3

So, we have the following representation

(3x²+ 5)(x + 3)

Hence, the solution is (3x²+ 5)(x + 3)

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The required true statements are B). BC = AD, D). ∠CAD = ∠LACB, E). ∠BPC = ∠APD

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

The statements that must be true are:

B. BC = AD (Opposite sides of a parallelogram are equal in length)

D. ∠CAD = ∠LACB (Opposite angles of a parallelogram are equal in measure)

E. ∠BPC = ∠APD (Opposite angles of a parallelogram are equal in measure)

The statements A and C are not necessarily true for all parallelograms.

Statement A (AP = CP) is only true for parallelograms that are rectangles or rhombi, where the diagonals bisect each other.

Statement C (m∠ABC = 90) is only true for parallelograms that are rectangles or squares, where each angle is a right angle.

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The value of  m∠ABD is equals to  125 degrees.

Rectangle can be defined in which opposite sides are equal.

AC and BD are diagonals of the rectangle ABCD.

Angle ABD is adjacent to angle 1 and angle ABO, where O is the intersection of diagonals AC and BD.

We know that m∠1 = 55, and we can find m∠ABO using the fact that the diagonals of a rectangle bisect each other. Since angle AOB is opposite to side AB, which is congruent to side CD, we have:

m∠ABO = 180 - m∠AOB

= 180 - (180 - m∠1) / 2

= 180 - (180 - 55) / 2

= 62.5

Therefore, we can find m∠ABD by adding m∠ABO and m∠DBO, where DBO is congruent to ABO:

m∠ABD = m∠ABO + m∠DBO

= m∠ABO + m∠ABO

= 2m∠ABO

= 2(62.5)

= 125

Hence, The value of  m∠ABD is 125 degrees.

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Answer:

A ladder leans against the wall of a building. The ladder measures 66 inches and forms an angle of 45 degrees with the ground. How far from the ground, in inches, is the top of the ladder? How far from the wall, in inches, is the base of the ladder?

Step-by-step explanation:

Answer:

11 glasses

Step-by-step explanation:

There are 200 ml glasses and we have 2.21 liter of bottels. So first of all covert liter into ml so we get 2210 ml of coca cola.now divide 2210 by 200 so we get 11 glasses

Answer:

213 km

Step-by-step explanation:

The mean cost for a pint of strawberries is $2.20, with a standard deviation of $0.50. The value of the variance will be 0.25.

The variance (σ2) is a measure of how ways each value inside the information set is from the mean.

A standard deviation (or σ) is a measure of the way dispersed the records are in terms of the suggested.

The formula for standard deviation is given, the square root of variance by determining each data point's deviation relative to the mean.

Standard deviation = $0.10

Variance = (standard deviation)²

Variance = ( 0.50 )^2 = 0.25

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If a sample of 250 RDNS was randomly selected from a list of all RDNS in the state of California for a California policy study, then the sampling method was simple random sample

Here a sample of 250 RDNS was randomly selected from a list of all RDNS.

Sampling is defined as the selecting the individual members or the group that you will actually collect data from in your research. There are five types of sampling method. They are Random, Systematic, Convenience, Cluster, and Stratified.

In the simple random sampling the researchers select the random samples from the population. Here a sample of 250 RDNS was randomly selected from a list of all RDNS.

Therefore, the sampling method that used is simple random sample

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Answer:

51 stamps

Step-by-step explanation:

since salman's amount is going from 5 to 45 its being multiplied by nine. to keep the ratio true, you need to multiply the other two numbers by 9 too. Nathan then has 12 stamps and Gordon has 63. 63-12=51

Answer:

The value of x is 12.

Greetings!!!

Firstly, recall the Pythagoras' theorem states that for all right-angled triangles, 'The square on the hypotenuse is equal to the sum of the squares on the other two sides'. The hypotenuse is the longest side and it's always opposite the right angle. In this triangle a² = b²+ c² and angle is a right angle.

a, b, and c represent the lengths of sides of a triangle, then: a2+b2=c2 if and only if the triangle is a right triangle.

Thus, on this question

the hypotenuse is a= 20

the value of b= 16

so the required value is c

[tex]a {}^{2} = b {}^{2} + c {}^{2} [/tex]

substitute known variables into the equation

[tex](20 ){}^{2} = (16) {}^{2} +( c) {}^{2} [/tex]

evaluate both sides

[tex]400 = 256 +( c) {}^{2} [/tex]

minus 256 from both sides

[tex]400 - 256 = (c) {}^{2} [/tex]

[tex]144 = (c) \frac{2}{} [/tex]

write bothe sides under radical in order to erase the square

[tex] \sqrt{144} = \sqrt{c {}^{2} } [/tex]

solve for c

[tex]c = 12[/tex]

Hope it helps

Answer:

x = 12

Step-by-step explanation:

Pythagoras Theorem

= Hypotenuse² = adjacent² + opposite²

From the question

Hypotenuse = 20

Adjacent = x

Opposite = 16.

The value for x

= 20² = x² + 16²

= 400 = x² + 256

= 400-256 = x²

= 144 = x²

[tex] \sqrt{144} = { \sqrt{x} }^{2} \\ \sqrt{144} = x \\ 12 = x[/tex]

Therefore adjacent (X) = 12

Answer:

7.8

Step-by-step explanation:

The variable gets eliminated, then the equation has no solution.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

(10x - 4) + ( -7 + x) = (10x + 2) + (-4 + x)

Simplify the equation, then we have

(10x - 4) + ( -7 + x) = (10x + 2) + (-4 + x)

10x - 4 - 7 + x = 10x + 2 - 4 + x

11x - 11 = 11x - 2

11x - 11x = 9

The variable gets eliminated, then the equation has no solution.

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The correct equation is given below.

(10x - 4) + ( -7 + x) = (10x + 2) + (-4 + x)

A) The average energy lost to ions in the second of two collisions separated by a time t is (eEt)2 2m is (1/3) (eEt)2 / m

B) The average energy loss to the ions per collision is (eEt)2/m is (ne2 / m) E2

In the Drude model, collisions between electrons and ions can cause energy loss, and this loss can be calculated using the average energy lost per collision. Specifically, if an electron experiences two collisions separated by a time t, the average energy lost to the ions in the second collision can be calculated.

We can use the formula for the energy gained by an electron in a uniform electric field: ΔE = eEt, where e is the charge of an electron, E is the electric field strength, and t is the time during which the electron experiences the field.

To do this, we can use the fact that the mean free path of an electron in a metal, before it experiences a collision, is given by λ = vτ, where v is the mean speed of the electron and τ is the average time between collisions.

The average energy lost in the second collision, over all directions of motion, is then given by:

(1/4π) ∫∫ ΔE2 (cosθ) dΩ

where θ is the angle between the direction of motion before the first collision and the direction of motion after the second collision, and dΩ is an element of solid angle. The factor (cosθ) accounts for the projection of the energy loss along the direction of motion.

After some calculations, we obtain the result:

(1/3) (eEt)2 / m

where m is the mass of an electron. This is the average energy lost to the ions in the second collision, over all possible directions of motion.

To answer part (b) of the question, we need to use the result of Problem 1(b), which states that the average time between collisions is given by τ = m/(ne2), where n is the number density of electrons in the metal. Using this formula, we can express the average energy loss per collision as:

(eEt)2 / mτ = (eEt)2 / (m^2 / ne2) = ne2 (eEt)2 / m

This is the average energy lost to the ions per collision, and we can use it to calculate the average loss per unit volume of the metal, which is given by:

(ne2 / m) E2

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