Find the surface area. HELP PLEASE!!!!​

Answer:

m = 10

Step-by-step explanation:

The fraction of the brownies left is 1/12.

We need to find out what fraction of the brownies is left.

Let " r " denote the fraction that is left.

Then we have r + 1/4 + 2/6 + 1/3 = 1

⇒ r + 1/4 + 1/3 + 1/3 = 1 (Writing the fraction 2/6 in the simplest form)

⇒ r + 1/4 + 2/3 = 1

⇒ r + (3 + 8)/12 = 1 (taking LCM of 4, 3 and adding the fractions 1/4 and 2/3)

⇒ r + 11/12 = 1

⇒ r = 1 - 11/12

⇒ r = (12 - 11)/12

⇒ r  = 1/12.

Therefore, the fraction of the brownies left is 1/12.

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Disclaimer:

The fractions provided in the question are not clear.

Assuming the following to answer the given question.

Molly ate 1/4 of the brownies,

Milo ate 2/6 of the brownies, and

Morgan ate 1/3 of the brownies.

Answer:

Below

Step-by-step explanation:

First , realize that angle P = 50 °

   Are you familiar with the Law of Sines ?

5/ sin70 = QR / sin 50

QR = 5 sin 50 / sin 70

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Answer:

14

Step-by-step explanation:

7h-5(3h-8)=-72

or, 7h-15h+40=-72

or, 40+72=15h-7h

or, 112=8h

or, h=112/8

therefore,h=14

Answer:

Step-by-step explanation:

(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Answer:

Option B. 9.11

Step-by-step explanation:

To find the length of line AB, we must first of all calculate the value of θ as shown in the attached photo.

The value of θ can be obtained as follow:

θ + 39° + 120° = 180° (sum of angles in a triangle)

θ + 159° = 180°

Collect like terms

θ = 180° – 159°

θ = 21°

Thus, we can obtain the length of line AB by using sine rule as illustrated below:

b/Sine B = c/Sine C

b = 16

Angle B = 39°

Sine C = 21°

c =?

b/Sine B = c/Sine C

16/Sine 39° = c/Sine 21°

Cross multiply

c × Sine 39° = 16 × Sine 21°

Divide both side by Sine 39°

c = (16 × Sine 21°) / Sine 39°

c = 9.11

Therefore, the length of line AB is 9.11

The measure of angle A is 25°, where the value of x = 12.

Three vertices, three sides, and three angles make up a clοsed triangle.

PQR serves as the symbοl fοr a triangle with the vertices P, Q, and R. Triangle-shaped items are mοst cοmmοnly fοund in sandwiches and signbοards.

A triangle cοnsists οf numerοus parts. There are 3 angles, 3 vertices, and 3 sides tο it.

A triangle has three sides, three internal angles, and three vertices.

The three inner angles οf a triangle can never add up tο mοre than 180 degrees, which is knοwn as the "angle sum prοperty" οf triangles.

Take nοte οf the triangle PQR in the illustratiοn abοve, where the sum οf the angles P, Q, and R is 180 degrees i.e.

90° + (2x + 1)° + (5x + 5)° = 180°

Solving for x

⇒ (2x + 1)° + (5x + 5)° = 180° - 90°

⇒  (2x + 1)° + (5x + 5)° = 90°

⇒ 7x + 6 = 90

⇒ 7x = 90 - 6

⇒ 7x = 84

⇒ x = 84/7

⇒ x = 12

Now, m∠A = (2x + 1)°

m∠A = (2(12) + 1)°

m∠A = 24 + 1

m∠A = 25°

Thus, The measure of angle A is 25°.

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Answer: 16q5r2

Step-by-step explanation:

Answer:

m = (67$ - 58$)/0.20$

_____________________

Vaughn and Xi are not partners in Wind Systems because they do not have joint control over the business.

A partner is a person who shares in the profit and loss of a business. A partner is also involved in the running of the business.

A partner is sometimes needed because one person might not have the knowledge and know how of running a business. Also, a partner might be needed to raise enough capital for the business.

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The no. of ways to select the 2 blue balls and 2 orange balls from the urn is 0.4545

No. of Blue balls in the urn = 6

No. of Orange balls in the urn = 6

Total no. of balls in the urn = No. of blue balls + No. of orange balls

                                            = 6 + 6

                                           = 12 balls

No. of blue balls to be selected = 2

No. of orange balls to be selected = 2

No. of balls to be selected = 4

The total. no of ways 4 balls can be selected =\(^{12}C_{4}\)

The No. of ways 2 blue balls can be selected = \(^{6}C_{2}\)

The No. of ways 2 orange balls can be selected =    \(^{6}C_{2}\)

Therefore, No. of ways to select 2 blue balls and 2 orange balls from the urn

                      =  \(^{6}C_{2} \times ^{6}C_{2} /^{12}C_{4}\)

Probability = No. of ways to select blue balls x No. of ways to select orange balls / Total no. of ways to select balls

                         P = (15×15)/495

                             = 225 / 495

                          P = 0.4545

Therefore,  the no. of ways to select blue and orange balls is 0.4545

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Answer:

The second one (answer of 3), but the other ones could've worked, they were just calculated wrong.

Step-by-step explanation:

Here's why each one did or didn't work:

First answer- you had the right idea by cancelling out the two in the denominator, however if you're going to divide 2, you have to divide it from everything in the equation. Meaning you would divide 4 by 2 to get 2, and then add the 1 + 2 to get final answer 3.

Second answer- since you added the numerator separately and then did the basic division, this worked.

Third one- similarly to the first one, you would have to also divide the 2 by 2 to get 1, then adding 1 + 2 to get 3.

Answer:

Explanation:

From the tape diagram, we can deduce the following;

*Total number of items = 87

*Number of subdivisions = 5 with one of them being a group of 39

Let's see which of the given stories that the tape diagram can represent;

A) Total number of first graders = 87

Students picked up = 39

Number of groups the remaining students were divided into = 4

We can see from the above that the tape diagram can represent this story

B) Number of children at the show = 87

Number of adults at the show = 39

Total number of people at the show = 87 + 39 = 126

We can see from the above that the tape diagram can not represent this story

C) Number of packs of pencils Lin bought = 87

Number of packs she gave to her teacher = 39

She then shared the remaining packs between herself and 3 friends

We can see from the above that the tape diagram can represent this story

D) Total amount Diego's family spent to a fair = $87

Amount spent on dinner = $39

They spent the remaining spent on 4 tickets

We can see from the above that the tape diagram can represent this story

E) Number of packs of paper clips Adre bought = 4

Number of paper clips in each = 39

Total number of paper clips bought = 39 x 4 = 156

We can see from the above that the tape diagram can not represent this story

1.To find the unit price you divide the total money of each package into the number of balls:

3 tennis balls for $4.95

4 tennis balls for $6.00

3 tennis ball package = $1.65 per ball

4 tennis ball package = $1.50 per ball

-------------------------------------

2.

3 tennis ball package = $39.60 for 24 balls

4 tennis ball package = $36.00 for 24 balls

----------------------------------------

3.

The 4 tennis ball package is cheaper by $3.60​

The answer is (d) 0.77, which is the closest rounded value to 0.7967.

We can use the formula for the normal distribution with the given mean and standard deviation to find the probability that the project is finished in 16 weeks or fewer.

First, we need to calculate the mean and standard deviation of the project completion time. From the table, we can see that the expected completion time for the project is 15 weeks and the variance is 1.44. Therefore, the standard deviation is the square root of the variance, which is 1.2.

Now, we can calculate the z-score for a project completion time of 16 weeks:

z = (16 - 15) / 1.2 = 0.83

Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than 0.83 is approximately 0.7967. This means that the probability of the project being finished in 16 weeks or fewer is about 0.7967 or 79.67%.

Therefore, the answer is (d) 0.77, which is the closest rounded value to 0.7967.

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The dimensions of the scale drawing is length = 168 inches and width = 126 inches

Scale drawing helps to represent surfaces on earth in a paper by either enlarging its dimension, reducing its dimension by a constant factor called the scale factor.

The conversion or scale factor is 21 inches = 4 meters

If 21 inches = 4 meters,

then 1 meter = 21/4 inches

32 meters inches = 32 x 21/4 = 168 inches

24 meters = 24 x 21/4 = 126 inches.

In conclusion, length of the scale drawing is 168 inches and width of the scale drawing iss 126 inches

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The form of the particular solution for the given differential equation \(y''-2y'y=e^x is (-1/2)e^x.\)

To find the particular solution for the given differential equation \(y''-2y'y=e^x\), we need to first solve the homogeneous equation y''-2y'y=0.

This can be done by assuming a solution of the form \(y=e^{mx}\) and substituting it into the equation:
\(y''-2y'y = (m^2-2me^mx)e^mx = 0\)
Since\(e^mx\) is never zero, we can divide both sides by \(e^{mx}\) and get:
\(m^2-2m = 0\)
Solving for m, we get two solutions: m=0 and m=2.

Therefore, the general solution to the homogeneous equation is:
\(y_h = c_1 + c_2e^2x\)
Next, we need to find a particular solution to the non-homogeneous equation

\(y''-2y'y=e^x\)

A particular solution can be found using the method of undetermined coefficients, where we assume a solution of the form \(y_p=Ae^x\) and substitute it into the equation:
\(y''-2y'y = (Ae^x)(0-2e^x) = -2Ae^2x\)
Setting this equal to e^x, we get:
\(-2Ae^2x = e^x\)
Dividing both sides by \(-2e^2x,\) we get:
A = -1/2
Therefore, the particular solution to the non-homogeneous equation is:
\(y_p = (-1/2)e^x\)
The general solution to the non-homogeneous equation is then:
\(y = y_h + y_p = c_1 + c_2e^2x - (1/2)e^x\)

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Answer:

50º

Step-by-step explanation:

Angle D & B are vertical angles, meaning they are equal in measure.

So if Angle B = 50º, then Angle D must also be 50º.

Hope this helps! Have a great day!

Answer:

130 degrees

Since angles A and D are supplementary (meaning that they add up to 180), we can set up the equation:

180 = 50 + D

D = 130

By using the concept of Probability, 0.771 is the probability by which worker 1 will outproduce worker 2

Let Xi be the random variable representing the number of units the first worker produces in day i.

Define X = X₁+ X₂ + X₃ + X₄ + X₅ as the random variable representing the number of units the first worker produces during the entire week.

We know that Mean =(Sum of all quantities)/(Number of quantities)

Mean=75 and number of quantities =5(given)

Therefore, from the formula

=>Sum of all quantities=75×5

or We can Say that X₁+ X₂ + X₃ + X₄ + X₅=375--------------------------------(eq1)

Now, talking about the standard deviation of first worker

We know that standard deviation = \(\frac{\sqrt{(Each quantity - Mean)^{2} } }{\sqrt{Total Number of quantities} }\)

We are given standard deviation of first worker as 20,

Therefore 20×\(\sqrt{Total Number of quantities}\) = \(\sqrt{(Eachquantity -Mean)^{2} }\)

20√5 = √[(X₁ - Mean)²+(X₂ - Mean)²+(X₃ - Mean)²+(X₄ - Mean)²+(X₅ - Mean)²]-(eq2)

Therefore, from eq1 and eq2,

we get Mean(µx) =375 and standard deviation(σ\(x\)) =20√5

Similarly, define random variables Y₁, Y₂, . . . , Y₅ representing the number of units produces by the second worker during each of the five days and define Y = Y₁ + Y₂ + Y₃ + Y₄ + Y₅.

From the Mean formula,

we get  Y₁ + Y₂ + Y₃ + Y₄ + Y₅=(65×5)--------------------------------(eq3)

Standard deviation of second worker = 21(given),

So using the standard deviation formula, we get

Therefore 21×\(\sqrt{Total Number of quantities}\)=\(\sqrt{(Eachquantity -Mean)^{2} }\)

21√5=√[(Y₁ - Mean)²+(Y₂ - Mean)²+(Y₃ - Mean)²+(Y₄ - Mean)²+(Y₅ - Mean)²]-(eq4)

Therefore, from eq3 and eq4,

we get Mean(µy) =325 and standard deviation(σy) =21√5

Of course, we assume that X and Y are independent. The problem asks for P(X > Y ) or in other words for P(X − Y > 0).

It is a quite surprising fact that the random variable U = X −Y , the difference between X and Y ,is also normally distributed with mean µU = µx−µy = 375−325 = 50 and standard deviation σu ,where σ\(u^{2}\) = σ\(x^{2}\)+σ\(y^{2}\) =400·5+441·5 = 841·5 = 4205

It follows that  σu=√4205.

Now probability of first worker(P₁)=375/√4205

probability of second worker(P₂) =325/√4205

We can clearly see P₁>P₂

Difference in Probability of both workers(P)=P₁-P₂

=>P=[(375/√4205)-(325/√4205)]

=>P=50/√4205

=>P=50/64.84

=>P=0.771

Hence, probability by which worker 1 will outproduce worker 2 is 0.771.

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Answer:1.18 inches Hope this helps

Answer:

its the first graph from 1/2 - 1 - 1 1/2

Step-by-step explanation:

its all even and its constantly going up

The result of the quotient of \(18r^4s^3t^6\) by \(-3r^2s^{-2}t^3\) is given as follows:

B. \(-6r^2s^5t^3\)

The quotient between two amounts or two expressions is given by the division of the first amount/expression by the second amount/expression.

In this problem, the division is given as follows:

\(18r^4s^3t^6\) by \(-3r^2s^{-2}t^3\)

The division of the bases is given as follows:

18/-3 = -6.

For the exponents, we keep the base and subtract the exponents, as we are dividing, hence:

Hence the quotient is given as follows:

\(-6r^2s^5t^3\)

Given by option B.

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A study conducted between 2005 and 2015 analyzed the relationship between smoking and the incidence of chronic obstructive pulmonary disease (COPD) in a population of 118,539 individuals.

Among the study participants, 70 new cases of COPD were identified among never smokers during the observation period, which totaled 395,594 person-years.

This data provides valuable insights into the impact of smoking on COPD. COPD is a chronic respiratory disease often caused by long-term exposure to irritants, particularly cigarette smoke. The fact that 70 new cases of COPD occurred among never smokers suggests that factors other than smoking, such as environmental pollutants or genetic predispositions, may also contribute to the development of the disease.

Additionally, the person-years of observation indicate the total duration of follow-up for the study participants. By measuring person-years, researchers can better estimate the incidence rate of COPD within each smoking category.

In conclusion, this study highlights that while smoking is a significant risk factor for COPD, a certain number of cases can still occur in individuals who have never smoked.

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The tickets in the box model should be:
- 1 ticket with a value of $6 (representing a win)
- 4 tickets with a value of -$2 (representing a loss).

In this gambling game, you have a 4 to 1 payout and a 1 in 5 chance of winning.

To create a box model for this scenario, follow these steps:
Identify the possible outcomes:

In this game, there are two possible outcomes:

winning (with a 1 in 5 chance) and losing (with a 4 in 5 chance).
Determine the payout for each outcome:

If a player wins, they receive a 4 to 1 payout on their $2 bet, so they win $8.

However, they also lose the original $2 bet, so the net gain is $6.

If a player loses, they lose their $2 bet.
Assign tickets to the box model based on the probability of each outcome:

Since there is a 1 in 5 chance of winning, there should be 1 ticket representing a win (net gain of $6) and 4 tickets representing a loss (net loss of $2).

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The average book owned by other people is 112 which is greater than Michael's.

What is average?

In standard language, a mean could be a single range taken as representative of a listing of numbers, typically the total of the numbers divided by what numbers are within the list.

Main Body:

Books owned by Michael = 97

Average book owned by people = sum of all books / total people

avg. book owned = (225+142+29+103+61)/5

avg book owned by people = 560/5

                                               = 112

Hence books owned by avg people is 112.

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Answer:

(-4, 3) 2nd quadrant.

Step-by-step explanation:

Step-by-step explanation:

8 × (1/2) = ...

= (8 × 1)/2

= 8/2 = 4