Charlene has nine different necklaces, and she wears four at a time. How many different ways can Charlene wear four necklaces?

Answers

Answer 1

I don't know, but I think it is 9 times 8 times 7 times 6 which is 72 times 42 which is 3,024. I am probably wrong, but yeah.

Related Questions

There are 20 goldfish in a pond. Their population is increasing by 20% each year. The same pond has 100 minnows. The minnow population is increasing by 10 minnows each year. Make a graph to find the year that the two species of fish will have the same population. In what year will the fish populations be approximately the same?

Answers

The graph is attached, showing the intersection point at 13.5 years and populations of 235.2 for each population.

We only consider the portion of the graph from x=0 on, since negative time is illogical. Tracing the graph we get the intersection point.

Answer:

13.5 years.

Step-by-step explanation:

We know that exponential growth function is in form [tex]y=a\cdot(1+r)^x[/tex], where, a is initial value and r is growth rate in decimal form.

Population of goldfish after x years would be [tex]y=20\cdot(1+0.20)^x[/tex].

We know that a linear function is in form [tex]y=mx+b[/tex], where, b is initial value and m is slope.

Population of minnow after x years would be [tex]y=100+10x[/tex].

Graphing both equations, we will get our required graph as shown in the attachment.

Since both graphs intersect at [tex]x=13.5[/tex], therefore, in the 13.5 years both populations will approximate the same.

a customer deposits $2000 in a savings account that pays 5.2% interest compounded continuously. how much will be earned between the 3rd and 5th yeards?

Answers

The amount of money a customer will earn between 3rd year and fifth year will be given as follows:
FV=p(1+r/100)^n
where:
FV=future value
r=rate
n=time

The amount earned in the first 3 years will be:
FV=2000(1+5.2/100)^3=$2,328.50

The amount earned in 5 years will be:
FV=2000(1+5.2/100)^5=$2,576.97

The amount earned between 3rd and 5th
=2,576.96-2,328.50
=$248.46

Find the area of the triangle that divides the parallelogram in half

Answers

Could you please provide a picture so we can answer it better?

1.3 to the second power

Answers

1.3 to the 2nd power is 1.3^2
1.3^2 = 1.3 x 1.3 = 1.69

What is the answer for # 24?

A B C or D

Answers

The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.

Cube

The volume of a cube of edge length s is

... V = s³

When the edge length is 6 in, the volume is

... V = (6 in)³ = 216 in³

Sphere

The volume of a sphere with radius r is

... V = (4/3)π·r³

When the radius is 3 in, the volume is

... V = (4/3)π·(3 in)³ = 36π in³

Space

Then the volume of the space between the cube and the sphere is

... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C

G let x be an exponentially distributed random variable with parameter λ = 1 / 2 . determine the probability distribution function of the random variable y = x 2 . what kind of distribution does y have?

Answers

[tex]X[/tex] has CDF

[tex]F_X(x)=\mathbb P(X\le x)=\begin{cases}1-e^{-\lambda x/2}&\text{for }x\ge0\\0&\text{otherwise}\end{cases}[/tex]

The CDF of [tex]Y[/tex] is then

[tex]F_Y(y)=\mathbb P(Y\le y)=\mathbb P(X^2\le y)=\mathbb P(X\le\sqrt y)=F_X(\sqrt y)[/tex]
[tex]\implies F_Y(y)=\begin{cases}1-e^{-\lambda\sqrt y/2}&\text{for }y\ge0\\0&\text{otherwise}\end{cases}[/tex]
[tex]\implies F_Y(y)=\begin{cases}1-e^{-(y/(4/\lambda^2))^{1/2}}&\text{for }y\ge0\\0&\text{otherwise}\end{cases}[/tex]

which is the CDF of a Weibull distribution with shape parameter [tex]\dfrac4{\lambda^2}[/tex] and scale parameter [tex]\dfrac12[/tex].

At noon, ship a is 50 km west of ship
b. ship a is sailing south at 10 km/h and ship b is sailing north at 20 km/h. how fast is the distance between the ships changing at 4:00 pm? (round your answer to one decimal place.) 23.05 incorrect: your answer is incorrect. km/h

Answers

Final answer:

At 4:00 pm, the distance between the ships is changing at a rate of 30 km/h.

Explanation:

To find how fast the distance between the two ships is changing, you can use the Pythagorean theorem, as the two ships are moving at right angles to each other (north and south). Let's denote the distance between the two ships as "D," the speed of ship A as "vA," and the speed of ship B as "vB."

At any given time, you have:

D² = (Distance ship A travels)² + (Distance ship B travels)²

Now, we can differentiate both sides of this equation with respect to time "t" to find how the distance "D" is changing:

2D * dD/dt = 2(vA * dA/dt) + 2(vB * dB/dt)

Here, dD/dt represents the rate of change of the distance between the ships, dA/dt is the speed of ship A (10 km/h), and dB/dt is the speed of ship B (20 km/h).

Plug in the values:

2 * (dD/dt) = 2 * (10 km/h) + 2 * (20 km/h)

Now, solve for dD/dt:

2 * (dD/dt) = 20 km/h + 40 km/h

2 * (dD/dt) = 60 km/h

Now, divide by 2:

dD/dt = 60 km/h / 2 = 30 km/h

So, at 4:00 pm, the distance between the two ships is changing at a rate of 30 km/h.

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in 2010 , a city's population was 55,210 and it was declining at a rate of 1.09% each year. which is the best prediction for when the city's population will first be below 48,000?

Answers

Answer: 2023

Step-by-step explanation:

Since, the initial population of the city is 55,210,

And, it is declining at a rate of 1.09%.

Thus, the function that shows the population after x years since 2010 is,

[tex]f(x) = 55210(1-\frac{1.09}{100} )^x[/tex]

[tex]f(x) = 55210(1-0.0109)^x[/tex]

[tex]f(x) = 55210(0.9891)^x[/tex]

If the population of town is 48000 in x years.

⇒ [tex] 55210(0.9891)^x= 48000[/tex]

⇒ [tex] (0.9891)^x= 0.869407715993[/tex]

⇒ [tex]x = 12.769[/tex]

Therefore, after 12.769 years the population of town will be equals to 48,000

⇒ After 12.770 years the population will first be below 48,000.

⇒ After approx 13 years the population will first below 48,000.

⇒ Around 2023 the population will be first below 48,000.

Answer:2022

Step-by-step explanation:

Six girls share 5 pints of milk equally.What fraction of a pint of milk does each girl get?

Answers

Each girl would get 1.2 Pints.
All you have to do is divide 6 by 5.

The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was bought at a wholesale price of \$113.00$113.00dollar sign, 113, point, 00, and Jessica's Furniture Store marks up all furniture by 45\%45%45, percent.
At what price should the manager sell the couch?

Answers

Answer: $163.85

Explanation:

1) Data:

Purchase price: $ 113.00

mark up: 45%

2) Formula

selling price = purchase price + mark up

mark up = % * purchase price

3) Solution

mark up = 45% * $ 113.00 = 0.45 * $ 113.00 = $50.85

selling price = $ 113.00 + $ 50.85 = $ 163.85

Answer: $ 163.85

Answer:

163.85 bucks,bix,backs,boks :P

Step-by-step explanation:

In order to find the retail price, we must first find the amount of markup. Remember that a markup rate is a percentage of the wholesale price that a store adds to get a selling or retail price. With this knowledge, we can figure out the following equation:

markup rate× wholesale price = amount of markup

Since the markup rate is a percentage, we have to convert it into a decimal first. Percent means "out of one hundred," so 45% is equivalent to 45/100 which is also equal to 45 \ 100 so 45/100 = 0.45. 0.45 * 113 = 50.85.

Since the markup rate is a percentage of the wholesale price that is added to get the retail price, we can find the retail price with the following equation:

amount of markup + wholesale price = retail price. 50.85 + 113 = 163.85

What are the zeros of the polynomial function?

f(x)=x^2+9x+20

Enter your answers in the boxes.

Answers

First compute the discriminant delta:
9^2-4*1*20=1.
Using the quadratic formula, we get the solutions:
[tex] \frac{-9-1}{2} =-5\\ \frac{-9+1}{2}=-4 [/tex]
the solutions are then -4 and -5.

Hal wants to make a 2 ½ foot banner from a 5-foot length of cloth. If he has marked 2.0 on the cloth, what does he have to do to find 2 ½ feet?

Answers

He has to mark 0.5 more cloth.

He can divide the 2.5 piece into fifths, and then add one of those fifths onto the 2.0 piece, to get a 2 [tex] \frac{1}{2} [/tex] piece.
---
Hope this helps!

Suppose f(x) = 0.125x for 0 < x < 4. determine the mean and variance of x. round your answers to 3 decimal places.

Answers

Answers:

- mean: 2.667
- variance: 0.889

Explanation:

To get the mean and variance of x, we need to verify first whether...
- x is discrete or continuous random variable
- f is probability mass or probability density function

because if we cannot verify the 2 statements above, we can't compute the mean and the variance.

Since 0 < x < 4, x is a continuous random variable because x can be any positive number less than, which includes a non-integer.

Note that if the random variable is continuous and [tex]0 \leq f(x) \leq 1[/tex] for any values of x in the domain of f, then f is a probability density function (PDF).

Note that

[tex]0 \ \textless \ x \ \textless \ 4 \\ \Leftrightarrow 0.125(0) \ \textless \ 0.125x \ \textless \ 0.125(4) \\ \Leftrightarrow 0 \ \textless \ 0.125x \ \textless \ 0.5 \\ \Leftrightarrow 0 \ \textless \ f(x) \ \textless \ 0.5 \\ \Rightarrow 0 \ \textless \ f(x) \ \textless \ 1 (\text{Because }0 \ \textless \ f(x) \ \textless \ 0.5 \ \textless \ 1)[/tex]

Hence, for any x in the domain of f, 0 < f(x) < 1. Moreover, since x is a continuous random variable, thus f is a PDF.

First, we use the following notations for mean and variance:

E[x] = mean of x
Var[x] = variance of x

Since f is a probability density function, we can use the following formulas for the mean and the variance of x:

[tex]\boxed{\text{mean of }x = E[x] = \int_{-\infty}^{\infty}{xf(x)}dx}[/tex]

[tex]\boxed{\text{Variance of }x = \text{Var}[x] = E[x^2] - (E[x])^2}} [/tex]

To compute for the mean of x,

[tex]\text{mean of }x = E[x] \\ = \int_{-\infty}^{\infty}{xf(x)}dx} \\ = \int_{-\infty}^{\infty}{x(0.125x)}dx} \\ \boxed{\text{mean of }x = \int_{-\infty}^{\infty}{0.125x^2}dx}}[/tex]

The integral seems complicated because of the infinity sign. But because the domain of f is the set of positive numbers less than 4, that is,

[tex]\text{domain of }f = \left \{x : 0 \ \textless \ x \ \textless \ 4 \right \}[/tex]

the bounds of the integral for the mean can be changed from [tex]-\infty \ \textless \ x \ \textless \ \infty[/tex] to [tex]0 \ \textless \ x \ \textless \ 4[/tex] so that

[tex]\boxed{\text{mean of }x = \int_{-\infty}^{\infty}{0.125x^2}dx = \int_{0}^{4}{0.125x^2}dx}[/tex]

Hence, the mean is computed as

[tex]\text{mean of }x = \int_{0}^{4}{0.125x^2}dx \\ = \left[ \frac{0.125x^3}{3} \right]_{0}^{4} \\ \\ = \left[ \frac{0.125(4)^3}{3} \right] - \left[ \frac{0.125(0)^3}{3} \right] \\ \\ \boxed{\text{mean of }x = \frac{8}{3} \approx 2.667} [/tex]

Since the formula for variance is computed as

[tex]\text{Variance of }x = \text{Var}[x] = E[x^2] - (E[x])^2[/tex]

we must first compute for [tex]E[x^2][/tex] for which

[tex]E[x^2] = \int_{-\infty}^{\infty}{x^2 f(x)}dx \\ \\ = \int_{-\infty}^{\infty}{x^2(0.125x)}dx \\ \\ \boxed{E[x^2] = \int_{-\infty}^{\infty}{0.125x^3}dx}[/tex]

Similar to the computation of integral of the mean, we take note that

[tex]\text{domain of }f = \left \{x : 0 \ \textless \ x \ \textless \ 4 \right \}[/tex]

so that we can change the bounds of the integral, that is,

[tex]\boxed{E[x^2] = \int_{-\infty}^{\infty}{0.125x^3}dx = \int_{0}^{4}{0.125x^3}dx}[/tex]

Hence,

[tex]E[x^2] = \int_{0}^{4}{0.125x^3}dx \\ \\ = \int_{0}^{4}{0.125x^3}dx \\ \\= \left[ \frac{0.125x^4}{4} \right]_{0}^{4} \\ \\ = \left[ \frac{0.125(4)^4}{4} \right] - \left[ \frac{0.125(0)^4}{4} \right] \\ \\ \boxed{E[x^2] = 8}[/tex]

Because [tex]E[x] = \frac{8}{3} [/tex],

[tex]\text{Variance of }x \\ \\ = E[x^2] - (E[x])^2 \\ \\ = 8 - \left( \frac{8}{3} \right)^2 \\ \\ \boxed{\text{Variance of }x = \frac{8}{9} \approx 0.889}[/tex]

Final answer:

The mean of x is 1.35 and the variance of x is approximately 1.267.

Explanation:

To find the mean of x, we need to calculate the expected value. We can do this by multiplying each value of x by its corresponding probability and then summing up the results. In this case, using the given values and probabilities, we have 0(0.20) + 1(0.45) + 2(0.20) + 3(0.10) + 4(0.05) = 1.35. Therefore, the mean of x is 1.35.

To find the variance of x, we need to calculate the squared difference between each value of x and the mean, weighted by their respective probabilities. We then sum up these values. Using the formula for variance, we have (0-1.35)²(0.20) + (1-1.35)²(0.45) + (2-1.35)²(0.20) + (3-1.35)²(0.10) + (4-1.35)²(0.05). By simplifying this expression, we find that the variance of x is approximately 1.267.

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Two friends mix blue paint and yellow paint to make batches of green paint, as shown in the tables. Jarrod Cups Blue Cups Yellow 3 2 Ian Cups Blue Cups Yellow 5 2 Which correctly compares their ratios of blue to yellow paint?

Answers

Jarrod:
Cups Blue Cups Yellow
3 2
Ian:
Cups Blue Cups Yellow
5 2
We have that their ratios are:
Jarrod: 3/2
Ian: 5/2
Comparing both ratios:
Jarrod uses 60% yellow paint and 40% blue paint.
Ian uses 71.4% yellow paint and 28.4% blue paint.
Answer:
Jarrod: 3/2
Ian: 5/2

Prime numbers have less 1.than two factors.
2.more than two factors. 3.exactly two factors. 4.less than or equal to two factors.

Answers

3 is your answer

exactly 2 factors

Answer:

They just have 2 factors :/

Step-by-step explanation:

Bc yes

If ab = 8 and a^2+b^2=16, then what is the value of (a+b)^2

Answers

(a+b)^2= a^2+b^2 +2ab
= 16 + 2 (8)
= 16 + 16
= 32

The answer is 4*sqrt(8)
Attached is my work.

how to solve this word problem

Answers

We assume that
.. (number in school)/(560 lunches sold) = (60 students sampled)/(40 eat lunch)
Then
.. (number in school) = 560*60/40 = 840

In which graph does y vary directly as x? It’s not C, I got it wrong.

Answers

Answer:

Step-by-step explanation:

A graph where y varies directly as x is a straight line that passes through the origin (0, 0). This is because when two variables vary directly, their ratio is constant, and in the case of y and x, this ratio is the slope of the line.

The equation for direct variation is y = kx, where k is the constant of variation. When we plot this equation on a graph with y on the vertical axis and x on the horizontal axis, we get a straight line that passes through the origin, with a slope of k.

For example, if we have a set of data points that vary directly, such as (1, 2), (2, 4), (3, 6), and so on, we can plot these points on a graph and draw a straight line that passes through the origin and all the points. This line represents the direct variation between y and x, and any other points that satisfy the equation y = kx will lie on this line.

In summary, a graph where y varies directly as x is a straight line that passes through the origin, with a constant slope representing the constant of variation.

What fraction of a gallon is 3 pints?

Answers

There are 8 pints in 1 gallon, so 3 pints is 3/8 of a gallon

There are 8 pints in a gallon, so 3 pints of that would be 3/8.

A high school has 3636 players on the football team. the summary of the players' weights is given in the box plot. approximately, what is the percentage of players weighing greater than or equal to 194194 pounds?

Answers

To calculate the percentage of players weighing 194 pounds or more from a box plot, we need to know where 194 pounds falls in relation to the quartiles on the plot. Without the box plot details, we cannot perform the needed analysis.

The student's question appears to concern the analysis of a box plot depicted in their materials to find the percentage of players weighing 194 pounds or more on a football team. However, to accurately answer this question, we need the specific details from the box plot, including the median (Q2), first quartile (Q1), third quartile (Q3), and any outliers if provided. From the box plot, we would determine where the weight of 194 pounds falls in relation to the quartiles. If 194 pounds is at or above Q3, then you would expect a lower percentage of players above this weight; if it is below Q3, then the percentage could be higher.

The approach typically involves identifying the number of players within each quartile and calculating the corresponding percentages. Without the specific box plot data, we cannot perform these calculations. Should you provide the box plot details, we can review the quartiles and calculate the exact percentage of players weighing 194 pounds or more.

what is -6x = -24
13 points

Answers

Divide the equation by the coefficient of x.
.. (-6x)/-6 = (-24)/-6
.. x = 4

_____
You asked "what is ..."
Answer: it is a "one-step" linear equation in x.

Solve the division problem. Round answer to the nearest hundredth. 9.252.063

Answers

9.252.063 rounded to the nearest hundredth is 9.252.060

The answer would be 9.252.060

The square footage of a house is 1200 square feet. What type of data is this?

Answers

The answer for the question shown above is: The square footage of a house that is 1200 square feet is the "Area".

The explanation is shown above:

1- By definition, the area is the measure of a two-dimensional surface.Its units can be written in m^2, ft^2, in^2...However, in the International System of Units is m^2.

2. This is very useful when you want to know the surface of a house. If it is a rectangular house, you can calculate the area as below:

A=LxW

Where L is the length and W is the width

Which rule describes a translation that is 8 units to the right and 2 units up?

(x, y) (x - 8, y + 2)

(x, y) (x - 8, y - 2)

(x, y) (x + 8, y - 2)

(x, y) (x + 8, y + 2)

Answers

(x-8, y+2).

When translating figures, a translation to the right subtracts from the x-coordinate (sort of the opposite of how we think of graphs that go to the right). Translations up would be adding to the y-coordinate.

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?
g = –9 and h = 7
g = 9 and h = –3
g = –7 and h = 7
g = 7 and h = 3

Answers

Answer:

Its D i just took the test

Step-by-step explanation:

Answer:

D. g=7 and h=3

Step-by-step explanation:

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

6 in3
24 in3
36 in3
48 in3

Answers

Volume of a cone = 1/3 r² π h
Volume of a cylinder = r² π h = 3 · V ( cone ) = 3 · 12 = 36 in³
Answer: C

A person earns 26,800 one year and gets a 5% raise in salary. What is the new salary?

Answers

Answer:

The new yearly salary is $28,140.

Explanation:

Amount of raise.
5%=0.05
Multiply the original salary times the percentage of the raise.

$26,800×0.05=$1,340

New salary .

$26,800+1,340=$28,140

HOPE THIS HELPS! :)

This question is based on the concept of percentage. Therefore new salary when there is 5% raise in 26,800 is 28,140. There are many uses of calculating percent.

What is percent ?

Percent is a proportionate of a number. Percent is a dimensionless quantity that is it has no unit. Percent is always out of hundred whereas fraction is always from 1. It is represented with the sign %. There are many uses of calculating percent. It is used in calculating interest in bank. It used in calculating inflation rate.

Mathematically,

The new yearly salary of a person is 28,140.

percentage of raise in salary is

5%=0.05

Multiply the original salary and the percentage of the raise in salary

26,800×0.05=1,340

New salary =26,800+1,340=28,140

Therefore new salary when there is 5% raise in 26,800 is 28,140

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A real estate agent knows that he will receive a commission of $4,250 from the sale of a property when the deal is completed 37 days from now. Needing cash today, though, he signs a discount note at a credit union, using his expected commission as the maturity value. The discount rate is 9.55%. Find the effective rate (APR).

Answers

The effective rate can be conveniently calculated from
.. effective rate = r/(1-rt)
Assuming a 365 day year, this is
.. = 9.55%/(1 -0.0955*(37/365))
.. ≈ 9.64%

6yd 9ft 4in times 2 equals

Answers

The easieast way to deal with this problem is to double evey single quantity. Hence, we have that this is equal to 12yd, 18feet and 8 inches. However, we now have to check; 3 feet are one yard hence we have that 18 feet are equal to 6 yards. Thus, 12yards and 18 feet are equal to 18yards. Also, 12 inches are one foot; we do not have enough inches there and the inch component stays the same. Hence, the answer is that the distance is now 18 yards and 8 inches.

For a science experiment,Juanita records the height of a plant every day in centimeters.What is the attribute measured in her experiment.

Answers

In Juanita's science experiment, the attribute measured is the plant's height, a key phenotypic trait in studying plant growth, which she records in centimeters, using consistent and precise units for scientific reliability.

The attribute measured in Juanita's science experiment is the height of a plant, which is a phenotypic trait important in plant biology. Juanita is collecting data related to plant growth by observing and recording the plant's height in centimeters daily. This meticulous tracking allows for analysis of plant growth patterns over time and the effect of various treatments, such as different fertilizers or amounts of water. The typical unit of measurement for the height of a plant is in centimeters or meters, which are part of the metric system used in scientific research.

During a laboratory experiment like the one Juanita is conducting, it is essential to measure such variables with precision and consistency. Measurements should be recorded using uniform units and methods to ensure reliability in the results, which may include the plant height, recorded in centimeters, at regular intervals. A graph representing this data might portray the number of days since the start of the experiment along the X-axis and the plant's height along the Y-axis, thereby allowing a visual assessment of the plant's growth over time.

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Your parents have decided to buy a new Toyota 4Runner for 25,635. According to the dealer, the car will depreciate in value approximately $3,000 per year. Write and solve a linear equation to find how many years it will be until the car is worth $3,135 Trayvon sells candy bars at a price of $3 each. He purchases every order of 200 candy bars for $350. If the cost of shipping is $0.15 per bar, what is Trayvons profit function? What conditions in the nucleus are likely to result in an atom undergoing radioactive decay?a. When the attraction of the strong force is weaker than the repulsion of the electrostatic forceb. When the repulsion of the strong force is weaker than the repulsion of the electrostatic forcec. When the repulsion of the strong force is greater than the attraction of the electrostatic forced. 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Anna and Bill share some money in the ratio 2:5Anna gets ABill gets BCarl and Donna share twice as much money as Anna and Bill share.They share the money in the ratio 3:1Carl gets CDonna gets DFind A:B:C:D in its simplest form A fire fighter has to get to a burning building as quickly as he can. there are three paths that he can take. he can take his fire engine over a large hill (5 miles) at 10 miles per hour. he can take his fire engine through a windy road (7 miles) at 9 miles per hour. or he can drive his fire engine along a dirt road which is 8 miles at 12 miles per hour. Suppose a ball is completely submerged inside a cylinder filled with water displacing some of the water in the cylinder. Assume the ball and the cylinder both have a diameter of 10 centimeters, and the diameter of the ball is the same as the height of the cylinder. Determine the volume of water that can remain in the cylinder after the ball is inserted so that the water rises to the top edge of the cylinder without spilling What experience do you have caring for children? What ages of child have you worked with? What have you observed about the needs, behaviors, and abilities of children at different ages? How do you nurture different kinds of children at different stages of life? Compare your experiences with the rest of the class. Read the stanza. From The Tyger by William Blake Tyger Tyger, burning bright, In the forests of the night; What immortal hand or eye, Could frame thy fearful symmetry? In The Tyger, to what does the fearful symmetry of the tiger refer? When would a researcher be most likely to observe resource partitioning? between two allopatric populations that eat the same thing between two sympatric species that eat similar-sized seeds between two sympatric species, one herbivore and one carnivore between two species, one predator and one prey? Two angles are complementary. If the measure of one angle is twice the measure of the other angle, what is the measure of the larger angle? Tumo worked full-time at a manufacturing plant for the last ten years, but recently, a number of his co-workers were laid off and his schedule was cut back from 40 hours a week to 30 hours. There are rumors that the company is planning to shut down the plant and move its operations out-of-state. Rather than wait to lose his job, Tumo decided to go back to school part-time to train for a new career. Although he enjoys working at the plant, it was never his dream job. Instead, he always wanted to be a veterinarian. He views the recent changes in his life as an opportunity, not a setback, and he feels confident that he can learn the skills necessary to succeed in his chosen field. Which statement about Tumos motivation to go back to college part-time is true? A. Tumo was motivated both intrinsically and extrinsically.B. Tumo was only motivated intrinsically.C. Tumo was not motivated in his decision to go back to school part-time.D. Tumo was only motivated extrinsically.2. Which type of mindset did Tumo exhibit? A. GrowthB. NegativeC. FixedD. Positive 3. Which of the following is NOT a way that Tumo can build resilience after learning that the company he works for might shut down? A. Tumo can maintain a positive and hopeful outlook for the future.B. Tumo can take decisive actions rather than waiting to get fired.C. Tumo can isolate himself.D. Tumo can view this setback as an opportunity to pursue his dream career. The diagram below shows the branching tree diagram for cats.Which characteristic is shared by the greatest number of organisms?