You randomly draw a marble from a bag, record its color, and then replace it. You draw a green marble 19 out of 50 times. What is the experimental probability that the next marble will be green? Write your answer as a fraction, decimal, or percent.

Answers

Answer 1

Final answer:

The experimental probability of drawing a green marble next based on past draws is 19 out of 50, which can also be represented as 0.38 or 38%.

Explanation:

The question asks about the experimental probability of drawing a green marble from a bag given prior outcomes. To find the experimental probability, you divide the number of times the event of interest (drawing a green marble) occurred by the total number of trials. In this case, a green marble was drawn 19 times out of 50 total draws.

Therefore, the experimental probability is 19/50. This can also be expressed as a decimal, 0.38, or as a percent, 38%.


Related Questions

Identify the a, b, and c from this equation. 2x^2−150=0

Answers

Answer:

a=2, b=0, c = -150

Step-by-step explanation:

The standard form of an equation is ax² + bx + c

In this case our equation is 2x² - 150

Here our a is 2, there is no b so b is 0, and c is -150

Which of the following is not a kind of consumer credit?
a. installment credit
b. personal loans
service credit
d. marginal credit
C.
Please select the best ahswer from the choices provided
B

Answers

Answer:

Marginal Credit

Step-by-step explanation:

I actually have no clue.

Which situation can be modeled by the inequality 3+7<13?

Answers

Final answer:

The inequality 3+7<13 represents a situation where the sum of three units and seven units is less than thirteen units. While this does not hold true in a strict mathematical sense, it illustrates the notion of inequality.

Explanation:

The inequality 3+7<13 represents a situation where the sum of three units and seven units is less than thirteen units. The numbers could represent any sorts of units, depending on the real-world situation.

For instance, let's consider an example where each unit represents one apple. According to this inequality, if you have three apples and you add seven more apples, the total number of apples you have would be less than thirteen. As you can see, this does not make sense, because 3+7 equals 10, which is not less than 13. Thus, the inequality 3+7<13 does not hold true in this situation.

This example illustrates that the given inequality does not hold true in a mathematical sense because 3 + 7 equals 10, which is not less than 13. However, in a situation where there is a numerical error or logical inconsistency, this inequality could potentially be used.

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Which of the following graphs represents a one-to-one function?

On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2).

On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4).

On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4).

A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3).

Answers

Answer:

The correct answer is the third graph

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The radius of a circle is 8.6 centimeters.

Enter the area of the circle, in square centimeters. Round your answer to the nearest hundredth and use 3.14 for pi.

______ square centimeters

Answers

Answer:

8.6 x 3.14 = 27.00cm (squared) I think. Double check that. But i think ( .00 ) is in the hundredths.

Final answer:

The area of a circle with a radius of 8.6 centimeters is approximately 232.23 square centimeters when calculated using 3.14 for Pi and rounding to the nearest hundredth.

Explanation:

The question is asking to find the area of a circle with a given radius. The formula to calculate the area of a circle is A = πr², where π is a constant (Pi, approximately 3.14) and r is the radius of the circle. To calculate the area with the given radius of 8.6 centimeters:

Insert the radius into the area formula: A = π × (8.6 cm)²

Perform the squaring of the radius: 8.6 cm × 8.6 cm = 73.96 cm²

Multiply the result by Pi (using 3.14 for π): A = 3.14 × 73.96 cm²

Calculate the product: A = 232.23 cm²

Round the result to the nearest hundredth: A ≈ 232.23 cm²

Therefore, the area of the circle is approximately 232.23 square centimeters.

Use the information in the diagram to answer the questions.

100 percent is the 30 dollars wholesale price, 30 percent is the markup, and the retail price is unknown.

The original cost is .
The percent of the markup is .
The markup amount is .
The new price is .

Answers

Answer:

the original cost is $30 , the percent of the markup is 30% , the markup amount is $9 , the new price is $39.

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

The original cost is

✔ $30

.

The percent of the markup is

✔ 30%

.

The markup amount is

✔ $9

.

The new price is

✔ $39

.

A group of students forgot to add thiosulfate to one test tube> what will they observe?

Answers

Answer:

The solution will experience an instant colour change because thiosulphate which is meant to be used as a clocking or Redox reagent which would have to react with iodine is absent.

Step-by-step explanation:

Thiosulphate is a chemical reagent that is used in chemical reactions such as titrations.

Thiosulphate is used as in the chemical reaction called Iodometry. This is a reaction whereby Thiosulphate is used as reactant and it is titrated against iodine in order to obtain an endpoint.

If Thiosulphate is not added to the test tube, there would be a colour change that occurs instantly because Thiosulphate did not react with iodine.

Final answer:

Without thiosulfate in a chemical reaction, students might observe an unchecked reaction progression, an absent color change, or the non-formation of a precipitate, which could significantly alter the expected outcome of the experiment.

Explanation:

If a group of students forgot to add thiosulfate to one test tube during an experiment, they would likely observe changes in the reaction that the thiosulfate was intended to affect. Depending on the specific experiment, the absence of thiosulfate could result in a faster reaction rate, lack of a particular color change, or the non-formation of a precipitate if thiosulfate is used as a reagent to react with a specific analyte. In general, thiosulfate is often used as a titrant or a reducing agent in various chemical reactions.

For example, in a reaction where thiosulfate is used to quench iodine, forgetting to add it would result in a permanent dark/starch-iodine complex, indicating that the reaction has gone to completion without being stopped by the thiosulfate. In another example, in silver-based photographic processing, thiosulfate is used to remove excess silver halide from developed film or paper; without it, the remaining silver halide would cause the material to be overly dark or discolored.

In the context of the provided information, if thiosulfate were supposed to quench a reaction or produce a specific analytical result, its absence would alter the expected outcome, potentially leading to incorrect conclusions. Observations without thiosulfate could include an unchecked reaction progression or the non-formation of anticipated reaction products.

Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance. What is the maximum number of copies Aiden can make? 60 83 166 250

Answers

Answer:

The correct answer is 166

Step-by-step explanation:

I just toke the test and got it right :)

The maximum number of copies Aiden can make is 166.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Given that, Aiden has $15.00 on his copy card.

Each time he uses the card to make a photocopy, $0.06 is deducted from his card.

Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished.

we need to find, the maximum number of copies Aiden can make,

The inequality below relates x, the number of copies he can make, with his copy card balance.

15 - 0.06x ≥ 5

15 - 5 ≥ 0.06x

10 ≥ 0.06x

x ≥ 10/0.06

166 ≥ x

Hence, the maximum number of copies Aiden can make is 166.

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Which decimal is equivalent to 5/12 ? A. 0.416 B. 0.416 C. 0.416 D. 0.416

Answers

Answer:

b

Step-by-step explanation:

just did it on edge

Coach Curran's team has won 5 times and lost 2 times. He hopes that his team can keep this same ratio of wins to losses.

If the team had 10 losses, how many wins would they need to keep the record? Complete the table.

Answers

Answer:

25

Step-by-step explanation:

10 is 5 times the amount of 2 and by multiply 5 by 5 you would get 25

Answer:25

Step-by-step explanation:

i neeed helpppp plz 50 points
Part A
Consider the following ratios and state that whether these ratios forms a proportion?
​Case1 - 20 friends to 15 strangers
Case 2 - ​ 4 friends to 3 strangers​
A
Yes
B
No

Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
​ Answer:

​Note: Type the answer as shown. Ex: (3:8)

Answers

Answer:

A. Yes

B. 5 : 1

Step-by-step explanation:

Case 1

Friends : strangers

20 : 15

4 : 3

Case 2

Friends : Strangers

4 : 3

Ratio of friends

Case 1 : Case 2

20 : 4

5 : 1

In the net of a cylinder, one dimension of the rectangle is the same as the circumference of each circular base. Is this true or false?

Answers

Answer:

True.

Step-by-step explanation:

When we look at a cylinder, it has be observed that it has 3 parts or 3 shapes to it.

These 3 parts or shapes are referred to as the net of a cylinder.

This 3 parts include

a. A circle at the top

b. A circle at the bottom.

c. A rectangle.

The circle at the bottom gives us the base of the cylinder while the rectangle is curved when forming the cylinder and it is due to this that we have the curved surface area of the cylinder.

It is important to know that there is a relationship between the length of one of the edges of the rectangle and the circumference of the base of the cylinder such that, the length of one of the edges of the rectangle is equal to or equivalent to the circumference of each circular base.

Maria mows 2/3 of a lawn in 1/5 hour. How many similar-sized lawns can she mow in 1 hour?

Thank you!

Answers

Answer:

Step-by-step explanation:

In one hour = 2/3/1/5

= 10/3 lawn

Hope this helps you out!

Find the mean and the mean average height.

Answers

Answer:

a.) [tex]mean=200.3[/tex]

b.) [tex]210[/tex] [tex]cm[/tex]

Step-by-step explanation:

a.) We are given the heights and their frequency. We can make a new set:

198, 199, 199, 199, 200, 200, 201, 201, 201, 201, 201, 202, 202

Now find the mean. The mean is found by adding all the numbers in the set, then dividing the total by the number of terms in the set. Add:

[tex]198+199+199+199+200+200+201+201+201+201+201+202+202=2604[/tex]

Now count the terms. There are 13 terms. Divide the total by the number of terms:

[tex]\frac{2604}{13}= 200.3[/tex]

The mean is 200.3.

b.) Use random values like 200, 198 etc. and add them to the total of the last set, then divide by 14 instead of 13 (because there is a new player). Do this until you get a mean of 201 with the new height:

[tex]2604+210=2814\\\\\frac{2814}{14}= 201[/tex]

For the new mean to be 201 cm, the new player has a height of 210 cm.

Finito.

Final answer:

To estimate the mean height of students at your college or university with 93 percent confidence and a margin of error of 1 inch, you would need to measure approximately 333 male students.

Explanation:

To estimate the mean height of students at your college or university with 93 percent confidence and a margin of error of 1 inch, you need to use the formula for sample size.

The formula for sample size is:

N = ((Z * σ) / E)^2

Where N is the sample size, Z is the Z-score for the desired confidence level, σ is the standard deviation, and E is the margin of error.

In this case, the Z-score for 93 percent confidence is 1.8119 (found using a Z-table). The standard deviation is given as 2.5 inches. Substituting these values into the formula:

N = ((1.8119 * 2.5) / 1)^2

N = 18.2255^2

N ≈ 332.3782

Rounding up to the nearest whole number, you would need to measure approximately 333 male students to estimate the mean height with 93 percent confidence and a margin of error of 1 inch.

A gaming system is originally priced at $365. It is now on sale for 20% off. What is the price of the system with the discount?

Answers

$365 x 0.20 = $73 —this means the discount was $73. Now take the original price of $365 and subtract $73 —So the discount price and correct answer is $292.

Original price = $365

Price with 20% off = 80% of original price

                              = 365 x [tex]\frac{80}{100}[/tex]

                              = 365 x [tex]\frac{4}{5}[/tex]

                              = 73 x 4

                              = $292

Therefore, the price of the system with the discount is $292.

-3B+5=13
How do I solve for B

Answers

Answer:

b = -2 2/3

Step-by-step explanation:

Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 5 from both sides:

-3b + 5 (-5) = 13 (-5)

-3b = 13 - 5

-3b = 8

Next, divide -3 from both sides:

(-3b)/-3 = (8)/-3

b = -8/3

b = -2 2/3

~

The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?

Answers

Answer:

5 by 4

Step-by-step explanation:

0.25 x 20 = 5

0.25 x 16 = 4

Answer:

5 y 4

Step-by-step explanation:

I had this qweston.

The perimeter of a rectangle is 68 cm. The length is 4 cm more than its
width. Find the length of the rectangle.

Answers

Answer:

21

Step-by-step explanation:

68 divided by 4 sides is 17 subtract 4 cm for width and add 4 cm for length to get 21 cm for length and 13 cm for width

Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team:


Which statement best describes the relationship between the positions of the two midfield players? (1 point)

Group of answer choices

Q is P reflected across the x-axis; only the signs of the x-coordinates of P and Q are different.

Q is P reflected across the x-axis; only the signs of the y-coordinates of P and Q are different.

Q is P reflected across the y-axis; only the signs of the x-coordinates of P and Q are different.

Q is P reflected across the y-axis; only the signs of the y-coordinates of P and Q are different.


Answers

Answer:

answer is c but i think it is to late

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Help me plz plz plz :(
Here is a right angled triangle

Answers

Answer:

10

Step-by-step explanation:

cos60=0.5

cos60= 5/x hence x=5÷cos60(0.5)

=5÷0.5=10

Samuel’s father is four years older than double Samuel’s age. their age difference is 22 years. how old are they

Answers

Answer:

Samuel is 18 and Samuel's father is 40

Step-by-step explanation:

Let F be Samuel's father's age

Let S be Samuel's age

F = 2S + 4

F - S = 22

F = 40

S = 18

Answer:

samuel is 18 and his father is in his 40s

Step-by-step explanation:

Find the height of a cone with a volume of 150 in^3 and a diameter of 20 in. Use 3.14 for π.

Answers

Volume = [tex]\frac{1}{3} \pi r^{2} h[/tex]

150 = [tex]\frac{1}{3}[/tex] x 3.14 x 10 x 10 x h

150 x 3 = 314 x h

h = 450/314

h = 1.43 inches

The requried height of the cone with a volume of 150 in² is given as 1.43 in.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

here,
Volume of the cone = 1/3 πr²h

From the quesiton we have,
r = 20/2 = 10 in and volume = 150
150 = 1/3 × 3.14 × 10² × h
h = 1.433 in


Thus, the requried height of the cone with a volume of 150 in² is given as 1.43 in.

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PLEASE HELP FIND THE VALUE OF X!!!I WILL MARK BRAINLIEST

Answers

Answer: x = ~6.928

Step-by-step explanation:

To find the value of X. we can use the sine of the angle:

sin (angle) = opposite / hypotenuse

sin (60) = opposite / 8

Solving for this, we get 6.928 for the opposite side.

Halla el área total y el volumen de un prisma triangular de altura 6cm y base un triángulos equilátero de lado 5cm. Redondea el resultado a dos cifras decimales

Answers

Final answer:

Para encontrar el
área total y el volumen del prisma triangular, primero calculamos el área de la base usando la fórmula para el área de un triángulo equilátero y luego calculamos el volumen y el área total usando esta área de base y la altura del prisma.

Explanation:

Para hallar el

área total
y el volumen de un prisma triangular con una altura de 6 cm y una base que es un triángulo equilátero de lado 5 cm, primero calculamos el área de la base. La fórmula para el área de un triángulo es A = (base
× height) / 2
. En un triángulo equilátero, la altura se puede encontrar usando la fórmula height = (sqrt(3)/2)
× lado
. Por lo tanto, la altura es height = (sqrt(3)/2)
× 5 cm
.

Calculamos el área de la base (Abase) como Abase = (5 cm
× (sqrt(3)/2)
× 5 cm) / 2 = (5
× 5
× sqrt(3)) / 4
, y luego redondeamos el resultado a dos cifras decimales para obtener el área de la base en centímetros cuadrados.

El volumen del prisma (V) es el producto del área de la base y la altura del prisma, por lo que V = Abase
× height
. El área total del prisma es la suma del área de las tres caras rectangulares (Area laterales = perímetro de la base
× altura del prisma
) más el doble del área de la base (Area total = Area laterales + 2
× Abase
).

Para concluir, aplicamos los valores y calculamos tanto el
área total como el
volumen del prisma triangular, redondeando cada uno a dos cifras decimales.

you flip a coin, what is p (tails)?

Answers

Answer:

1/2

Step-by-step explanation:

There are 2 sides to a coin, heads and tails

P (tails) =number of tails/ total

           = 1/2

1/2 because you have 1 out of two chance

A researcher wishes to​ estimate, with 99​% ​confidence, the population proportion of adults who think the president of their country can control the price of gasoline. Her estimate must be accurate within 3​% of the true proportion. ​a) No preliminary estimate is available. Find the minimum sample size needed. ​b) Find the minimum sample size​ needed, using a prior study that found that 26​% of the respondents said they think their president can control the price of gasoline. ​c) Compare the results from parts​ (a) and​ (b).

Answers

Answer:

a) [tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849[/tex]  

And rounded up we have that n=1849

b) [tex]n=\frac{0.26(1-0.26)}{(\frac{0.03}{2.58})^2}=1422.99[/tex]  

And rounded up we have that n=1423

c) For this case we can see that if we have a prior estimate the minimum sample size required for the margin of error desired would be less as we can see in part b we reduce the sample size compared to the part a

Step-by-step explanation:

Part a

The critical value for a confidence level of 99% is for this case [tex]z_{\alpha/2} =2.58[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

Since we don't know any estimate for the true proportion we can use [tex]\hat p =0.5[/tex] as a godd estimator. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849[/tex]  

And rounded up we have that n=1849

Part b

For this case we have a prior estimate [tex]\hat p =0.26[/tex] and replacing we got:

[tex]n=\frac{0.26(1-0.26)}{(\frac{0.03}{2.58})^2}=1422.99[/tex]  

And rounded up we have that n=1423

Part c

For this case we can see that if we have a prior estimate the minimum sample size required for the margin of error desired would be less as we can see in part b we reduce the sample size compared to the part a

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x
represents the smaller integer. Which equation can be factored and solved for the smaller integer?
x2 + x - 72 = 0
O2 + x + 72 = 0
x2 + 2x - 72 = 0
2 + 2x + 72 = 0

Answers

Answer:

x^2+x-72=0

Step-by-step explanation:

Hope this helps!

Answer:

x^2+x-72=0

Step-by-step explanation:

Use the data to find the upper quartile value.

Movie Ticket Fees at a Local Theater
$10.25 $9.75
$8.75 $12.75
$11.00 $6.50


A.$10
B.$8.75
C.$11
D.$12.75

Answers

Answer:

The answer is C.

Step-by-step explanation:

Answer:

Upper Quartile- $11.00

Lower Quartile-$8.75

Step-by-step explanation:

I got them right

Kate had 70 brooms; Alisa had 20 more brooms than Kate. What was the ratio of Kate’s brooms to Alisa’s brooms?

Answers

Answer:

7:9

Step-by-step explanation:

it was 70:70+90 cuz it was 20 moe than kates broom and if u simpifly that it will be 7:9 and sorry if my grammers bad im also a student lol i hope this helps. :)

Final answer:

Given that Kate possessed 70 brooms and Alisa had 20 more brooms than her, Alisa possessed 90 brooms. The ratio of Kate's brooms to Alisa's brooms reduces to 7:9.

Explanation:

The question wants to find the ratio of brooms Kate has to the brooms Alisa has. Firstly, we know Kate has 70 brooms. The question also tells us that Alisa has 20 more brooms than Kate, which means Alisa has 70+20=90 brooms. To establish a ratio, we simply put Kate's brooms to Alisa's brooms which gives us 70:90. However, we always want to reduce the ratio to its simplest form. Both 70 and 90 are divisible by 10, so we divide each side by 10, getting 7:9. The ratio of Kate's brooms to Alisa's brooms is therefore 7:9.

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A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.
What ordered pair is closest to a local minimum of the function, f(x)?

(–1, –3)
(0, –2)
(1, 4)
(2, 1)

Answers

Answer:

d

Step-by-step explanation:

ddddddd

Answer:

d

Step-by-step explanation:

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Make all theappropriate changes.1. ton frre / toi / tre / vous / grand / trs / et2. grand / blond / tre / moi / et / je3. mince / Emma / tre / mignon / et4. professeur / tre / comment/ d'anglais / le5. ils / gros / pas / tre / ne6. Alicia / tre / et / gentil / et /intelligent / Jeanne7. tre / Eva / tre / elle / marrant / timide / mais8. avoir / je / frre / trois / pnible / beau / mais -10+16(-2)+7please help! Which part of Andre's paragraph is inappropriate for a school report?OA. The plane is still totally cool todayOB. It does daring loops and tricks.Oc.They can be bought as a homebuilt kitOD. It is used in many air shows. Requires the blackworms to incubate 2 min in the test solution. If the worms were accidentally incubated for 4 min, how would the results be affected? a. The results would not be affected since the test chemicals are known to not affect the pulse rate of blackworms. b. The results would not be affected since an incubation time of 2 min is simply a time-saving device. c. The pulse rate would be markedly increased due to excessive absorption of the test solution. d. The pulse rate would be severely depressed or absent due to death of the worms. What is the solution of the system of equations shown in the graph below? Which health endorsements are reliable? Check all that apply.An online weight-loss support group member describes her success with purging after a meal to reduce caloric consumption.A manufacturer of diet replacement shakes says that drinking a complete liquid diet drink in place of meals once a day is an effective way to lose weight.A physician recommends that you try an exercise regime of 30 minutes of strength training and cardio at least three times a week.Your family doctor says that due to a thyroid disorder, you will need to use medication to lose weight.Your massage therapist suggests that eating smaller meals throughout the day will help control your diabetes. A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random. What is the theoretical probability of picking a green or yellow marble? 75% 55% 20% 25% https://www.woodfordschools.org/userfiles/426/my%20files/sha%20nti%20day%201%2017-18.pdf?id=8598is the articleQuestion 1 (1 point) How does the text describe most previous scientific research in the field of psychology?Question 1 options:a) It neglected to study the happiness of people with neurosis.b) It prioritized determining why happy people are happy.c) It focused on improving the lives of very depressed people.d) It was centered on improving the moods of already happy people.Question 2 (1 point) Which detail from the text best supports Seligmans ideas about happiness?Question 2 options;a) Psychologists tend to be concerned with taking a negative 8 person, and helping him get to negative 2 (Paragraph 8)b) While our quality of life has increased dramatically over that time, and we've become richer, we're in an epidemic of depression (Paragraph 10)c) Think of these people as hobbyists who become so immersed in their work that time ceases to exist (Paragraph 17)d) By frequently calling upon their strengths, people can build up natural buffers against misfortune and negative emotions (Paragraph 4)Question 3 (1 point) Which quote from the text is the least relevant piece of evidence used to support Seligmans ideas about how people become happy?Question 3 options:a) Material goods even simple ones like ice cream cones, and massages are only stimuli, things that fleetingly give people a boost. (Paragraph 12)b) To cultivate happiness, you must first identify which of the aforementioned happiness categories you fall into, then ascertain your individual strengths and virtues. (Paragraph 21)c) A study of cloistered nuns found that those scoring high on happiness tests at age 20 lived the longest. (Paragraph 20)d) Instead, he says we can boost our own happiness by capitalizing on the strengths and traits that we already have, including kindness, originality, humor, optimism, and generosity. (Paragraph 3)Question 4 (1 point) Which of the following statements best summarizes Seligmans ideas about happiness?Question 4 options:a) Its easier to achieve happiness by breaking down what keeps you from being happy, such as stress or mental illness.b) People who are able to appreciate the small joys of life tend to be happier overall.c) Happiness can be achieved if you focus on and develop the characteristics that you value about yourself.d) Seligmans research has found that an increased quality of life has negatively impacted peoples level of happiness. How did the Edict of Milan, which was issued in 313 CE, affect the spread of Christianity?It allowed Christianity to spread to Carthage and Jerusalem.It allowed Christianity to spread outside of Europe by 600 CE.It allowed Christianity to spread around the entire world by 600 CE.It allowed Christianity to spread throughout the entire Roman Empire. "Broken Chain"Alfonso sat on the porch trying to push his crooked teeth to where he thought they belonged. He hated the way helooked. Last week he did fifty sit-ups a day, thinking that he would burn those already apparent ripples on his stomach toeven deeper ripples, dark ones, so when he went swimming at the canal next summer, girls in cut-offs would notice. Andthe guys would think he was tough, someone who could take a punch and give it back."Fish Cheeks"When I found out that my parents had invited the minister's family over for Christmas Eve dinner, I cried. What wouldRobert think of our shabby Chinese Christmas? What would he think of our noisy Chinese relatives who lacked properAmerican manners? What terrible disappointment would he feel upon seeing not a roasted turkey and sweet potatoes butChinese food?How do both the essay and short story convey the theme that people often care about what others think of them?O Alfonso doesn't like the way he looks, and Amy is embarrassed by her family's traditions.O Alfonso wants others to notice him, and Amy is worried about what Robert will think.Alfonso isn't confident in himself, and Amy constantly questions her family s ways.Alfonso must worry about what he looks like during the summer, and Amy has to deal with the holidays. what is 9x10 and what is 3x10? Ammonia (NH3(g), AH = -46.19 kJ/mol) reacts with hydrogen chloride (HCl(g), AH = -92.30 kJ/mol) toform ammonium chloride (NH4Cl(s), AH = -314.4 kJ/mol) according to this equation:NH3(g) + HCl(9) NH4Cl(s)What is AHxn for this reaction? A rectangular prism has a volume of 3995 cubic inches. Its base measures 5 in by 17 in. What is the height of the rectangular prism? 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