suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 31.2 mpg and 4.5 mpg, respectively. [you may find it useful to reference the z table.] a. what is the probability that a randomly selected passenger car gets more than 32 mpg? (round final answer to 4 decimal places.) b. what is the probability that the average mpg of three randomly selected passenger cars is more than 32 mpg? (round final answer to 4 decimal places.) c. if three passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 32 mpg? (round final answer to 4 decimal places.)

Answers

Answer 1

The standard normal distribution that represents the variable in the question indicates that we get;

a. The probability is about 0.42858

b. The probability that the average mpg of 3 randomly selected passenger cars is more than 32 mpg is 0.35197

c. The probability that all the three cars get more than 32 mpg is about0.0788

What is a standard normal distribution?

A standard normal distribution, also known as the Gaussian distribution, and the z-distribution, has a mean of 0, and a standard deviation of one.

a. The standard score (z-score) of 32 mpg can be obtained as follows;

z = (32 - 31.2)/4.5 ≈ 0.178

The probability that a standard normal variable has a z-score, larger than 0.178, obtained from the z-score table is therefore;

P(Z > 0.178) ≈ 1 - 0.57142 = 0.42858

The probability that a random selected car gets more than 32 mpg, therefore is about 0.42858

b. The of the sample is μ = 31.2

The standard deviation of the sample is, σ = 4.5/√(3)

z = (x - μ)/(σ/√n)

Therefore;

z = (32 - 31.2)/(4.5/√(3)) ≈ 0.308

The probability that a standard normal variable has a z-score larger than 0.308, from the z-score table, therefore is; p(z > 0.308) = 1 - 0.64803 = 0.35197

The probability that average mpg of three (randomly) selected passenger cars is more than 32 mpgs is 0.35197 (35.197%)

c. The mpg ratings are independent, therefore, we get;

P(the three cars get more than 32 mpg) = P(car 1 gets more than 32 mpg) × P(car 2 gets more than 32 mpg) × P(car 3 gets more than 32 mpg)

The probability that a car gets more than 32 mpg is about 0.42858

Therefore;

P(the three cars get more than 32 mpg) = 0.42858 × 0.42858 × 0.4288 ≈ 0.0788

The probability that all three cars get more than 32 mpg ≈ 0.0788 = 7.88%

Learn more on the normally probability distribution here: https://brainly.com/question/30236866

#SPJ1

Related Questions

The PayDay loan company lends you $500. After 2 weeks pay you pay back $520. What is the simple interest rate? Note that the times is a fraction of a year.

Answers

Answer:

Explanation:

• Loan Amount = $500

• Time = 2 weeks

• The amount paid pack = $520

We want to determine the simple interest rate.

First, find the amount paid as interest:

under what circumstances can a very small treatment effect still be significant? group of answer choices if the standard error of m (s m) is very large if the sample size (n) is very large all of the other factors are likely to produce a significant result. if the sample standard deviation (s) is very large

Answers

A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

What is the standard error, and sample size?The standard error calculates the discrepancy between a sample's estimate and the actual value for the population. Therefore, the standard error should be smaller the better. In fact, a standard error of zero or extremely close to it would indicate that the projected value and the actual value are identical.Sample size determination is the process of deciding how many observations or replicates to include in a statistical sample. The sample size is an important consideration in any empirical study that aims to infer information about a population from a sample.

Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.

Learn more about the standard error here:

brainly.com/question/16555520

#SPJ4

Please send help!
What is the range of this radical function?
F(x) = x-2+4

A. 2
B. -2
C. 4
D. -4

Answers

The answer is A. Pls mark brainliest

Answer:

B) -2

Step-by-step explanation:

Hope this helps. Good luck...

In AOPQ, m/O = (2x − 5)°, mZP = (3x − 8)°, and mZQ = (10x – 17)º.
-
What is the value of x?

Answers

Answer:

x = 14

Step-by-step explanation:

You want the value of x in ∆OPQ, where ∠O = (2x − 5)°, ∠P = (3x − 8)°, and ∠Q = (10x – 17)º.

Angle sum theorem

The angle sum theorem tells you the sum of angles in a triangle is 180°. This means ...

∠O +∠P +∠Q = 180°

(2x -5)° +(3x -8)° +(10x -17)° = 180° . . . . . use the given expressions

15x -30 = 180 . . . . . . divide by °, collect terms

x -2 = 12 . . . . . . . . . divide by 15

x = 14 . . . . . . . . . . add 2

The value of x is 14.

Additional comment

The measures of the angles are ...

O = 23°, P = 34°, Q = 123°

The formula for the speed of a tsunami in deep water is v = √gh, where g is acceleration due to gravity, 9.8 m/s2, and h is the depth of the ocean in meters.Use this formula to estimate the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away.The Bay of Bengal is 4 km (4000 m) deep.Enter your answer, rounded to the nearest whole number, in the box.v = m/s

Answers

Explanation

We are required to determine the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away.

The formula given is:

$\begin{gathered} v=\sqrt{gh} \\ where \\ g=acceleration\text{ due to gravity} \\ h=depth\text{ of the ocean } \end{gathered}$

Therefore, we have:

$\begin{gathered} v=\sqrt{gh} \\ where \\ g=9.8\text{ m/s}^2 \\ h=4000m \\ \\ \therefore v=\sqrt{9.8\times4000} \\ v\approx198\text{ m/s} \end{gathered}$

Hence, the answer is:

$v\approx198\text{ m/s}$

The diagram shows two right-angled triangles that share a common side. 6 10. Show that x is between 11 and 12.

Answers

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:$a^2 + b^2 = 6^2$

Triangle 2: $c^2 + d^2 = 10^2$

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

$a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2$

Substituting b = c, we get:

$a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2$

Now, let's add these two equations together:

$a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136$

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

For more such questions on right angled triangle.

https://brainly.com/question/64787

#SPJ8

what is 83.328 rounded to the nearest tenth

Answers

Answer:

83.3

Step-by-step explanation:

To round 83.328 to the nearest tenth consider the hundredths' value of 83.328, which is 2 and less than 5. Therefore, the tenths value of 83.328 remains 3

Answer: it would be rounded to 83.3

What are the steps for using a compass and straight edge to construct a square

Answers

1. Use a straightedge to draw line m and label a point on the line as point F

2. Construct a line perpendicular to line m through point F. Label a point on this line as point G.

3. With the compass open to the desired side length of the square, place the compass point on point F and draw an arc on line m and an arc on FG←→ . Label the points of intersection as points H and K.

4. Without changing the compass width, place the compass point on point H and draw an arc in the interior of ∠HFK.

5. Keeping the same compass width, place the compass on point K and draw an arc in the interior of ∠HFK to intersect the previously drawn arc. Label the point of intersection as point J.

6. Use the straightedge to draw JH¯¯¯¯¯ and JK¯¯¯¯¯.

A TV program is edited for broadcasting and 17% of the original is cut.
The program is now 1 1/2 hours long. How long was the original program IN HOURS.
(basically 1 1/2 increased by 17%)
PLS answer quick:)

Answers

1 ½ x 117% = 1hr 45mins

When forests are replaced with cities,

the balance of nature is unchanged.
first-order consumers have less food to eat.
second-order consumers have more food to eat.
producers make more food.

Answers

Answer:

the balance of nature is changed

Step-by-step explanation:

your answer

A man buys a plot of agricultural land for rs. 300000 he sells 1/3rd at a loss of 20% and 2/5ths at a gain of 25% at what price must he sell the remaining land so as to make an overall profit of 10%

Answers

Let's first calculate the amount of money the man receives from selling 1/3rd of the land and 2/5ths of the land.

1/3 of the land is (1/3) * 300000 = 100000, and he sells it at a loss of 20%, which means he sells it for 100000 - (20/100) * 100000 = 80000.

2/5 of the land is (2/5) * 300000 = 120000, and he sells it at a gain of 25%, which means he sells it for 120000 + (25/100) * 120000 = 150000.

The total money he receives from selling 1/3rd and 2/5ths of the land is 80000 + 150000 = 230000.

He bought the land for Rs. 300000 and received Rs. 230000 from selling a portion of it. So, he still has Rs. 70000 worth of land left.

To make a profit of 10%, he needs to sell the remaining land for 300000 + (10/100) * 300000 = Rs. 330000.

The remaining land is worth Rs. 70000, so he needs to sell it for Rs. 330000 - Rs. 230000 = Rs. 100000.

Therefore, he must sell the remaining land for Rs. 100000 to make an overall profit of 10%.

If Dustin distributes all of the liquid equally among the 7 bottles, how much liquid will be in each bottle?

Answers

6/7 of a cup would be inside of each bottle

2.1 Convert the following common fractions to decimal fraction. 2.1.2.
$ \frac{9}{25} $

Answers

The decimal fraction that represents the given fraction is: 0.36.

How to convert to decimal fractions

To convert the figure from the given form to the decimal fraction, you can choose to use the long division format or simply divide it with the common factors. Between, 9 and 25, there is no common factor, so the best method to use here will be long division. Thus, we can proceed as follows:

1. 25 divided by 9

This cannot go so, we put a zero and a decimal point as follows: 0.

Then we add 0 to 90

2. Now, 25 divided by 90 gives 3 remainders 15. We add 3 to the decimal: 0.3

3. 90 minus 75 is 15. we add a 0 to this and divide 150 by 25 to get 6. This is added to the decimal to give a final result of 0.36.

Learn more about decimal fractions here:

https://brainly.com/question/29404890

#SPJ1

PLSSS HELP IF YOU TURLY KNOW THISSSS

Answers

multiply both sides by 5

> 4x+2=50

Move constant

> 4x=48

Solve

Solution

X=12

Answer:

The value of x is 12.

Step-by-step explanation:

Given equation,

→ (4x + 2)/5 = 10

Now the value of x will be,

→ (4x + 2)/5 = 10

→ 4x + 2 = 10 × 5

→ 4x = 50 - 2

→ 4x = 48

→ x = 48 ÷ 4

→ [ x = 12 ]

Hence, the value of x is 12.

Suppose your cell pone plan charges a fixed rate of $10 per month plus 7 cents per minute. Create a table that shows the relationship between the total number of minutes you might use each month, m, and your total monthly cell phone bill, t

Answers

Answer:

sorry but this is very confusing but i'll try for the sake of it.

Step-by-step explanation:

M+T=Y

Garry is studying a square pyramid and wants to draw a net of the figure to help determine its surface area. Which net represents a square pyramid?

Answers

The correct net that represents a Square pyramid is Option B.

A net is a two-dimensional pattern that can be folded into a three-dimensional figure. To draw a net of a square pyramid, we need to create a two-dimensional pattern that includes a square base and four triangular faces that meet at a common vertex.

Option A: This net has a square base, but it has three triangular faces and one trapezoidal face. Therefore, it does not represent a square pyramid.

Option B: This net has a square base and four triangular faces that meet at a common vertex. Therefore, it represents a square pyramid.

Option C: This net has a triangular base, so it does not represent a square pyramid.

Option D: This net has a square base, but it has six triangular faces that do not meet at a common vertex. Therefore, it does not represent a square pyramid.

Therefore, the correct net that represents a square pyramid is Option B.

It's important to note that there may be different ways to draw a net for a square pyramid, as long as the net includes a square base and four triangular faces that meet at a common vertex. However, Option B is a valid net for a square pyramid and represents the figure accurately.

To know more about Square pyramid.

https://brainly.com/question/30615121

#SPJ11

Solve for x in this equation: |2.5x – 6.8| = 12.9
i will make you brainliest

Answers

Answer:

x= 7.88

Step-by-step explanation:

2.5x - 6.8 = 12.9 add 6.8 to the right side

2.5x = 19.7 divide by 2.5

x = 7.88

how many pets do i got ill give hint

i have
11 bunny rabbits
4 dogs
1 gunie pig
3 donkeys
4 pigs
and 12 cats

how many pets do i have

Answers

Answer:

35 pets

Step-by-step explanation:

11+4+1+3+4+12=15+4+16=19+16=35

Answer:

I got in total you have 35 pets

Step-by-step explanation:

I added \(~_~)/

in the figure above, the area of square ABCE=x^2 and DC=y. What is the area of triangle AED?

Answers

Answer:

The area of triangle AED = (x^2-xy)/2

Step-by-step explanation:

Mathematically, the area of a square is the product of its side lengths

Thus, if the area is x^2; then the side of the square measures x

So each of the side of the square has a measure x units

Now, for the base of the square;

EC = ED + DC

x = ED + y

ED = x - y

Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2

The height here is x and the base is (x-y)

We have this as;

Area of triangle AED =

1/2 * x * (x-y)

= (x(x-y))/2

= (x^2-xy)/2

Can you help me with this plz

Answers

Answer:

A Q1

cos 59° = x/16

x = 16 cos 59°

x = 8.24

BC is given 23 mi

Maybe AB is needed

AB = √34² + 23² = 41 (rounded)

BC² = AB² - AC²

BC = √(37² - 12²) = 35

Let the angle is x

cos x = 19/20

x = arccos (19/20)

x = 18.2° (rounded)

See attached

Added point D and segments AD and DC to help with calculation

BC² = BD² + DC² = (AB + AD)² + DC²

Find the length of added red segments

AD = AC cos 65° = 14 cos 65° = 5.9

DC = AC sin 65° = 14 sin 65° = 12.7

Now we can find the value of BC

BC² = (19 + 5.9)² + 12.7²

BC = √781.3

BC = 28.0 yd

All calculations are rounded

A store sells packages of batteries. The package with the best deal has the highest ratio of number of batteries to total cost. Packages of Batteries Number of Batteries Total

Answers

Complete question:

A store sells packages of batteries. The package with the best deal has the highest ratio of number of batteries to total cost.

Packages of Batteries

Number of Batteries

Total Cost

$24

Which package offers the best deal?

3 for $8

5 for $8

12 for $24

14 for $24

Answer:

5 for $8

Step-by-step explanation:

Given:

3 batteries sell for $8

5 batteries sell for $8

12 batteries sell for $24

14 batteries sell for $24

To find the package that offers the best deal, find the cost of each battery by dividing each total cost by the number of the batteries. The package with the lowest will be the best package.

Thus:

Package 1: $ \frac{8}{3} = 2.67 $

Package 2: $ \frac{8}{5} = 1.60 $

Package 3: $ \frac{24}{12} = 2.00 $

Package 1: $ \frac{24}{14} = 1.71 $

The best package here is package 2 where 5 batteries sell for $8, because the cost of each battery here is significantly lower than the cost of each battery in other packages.

Answer:

5 for $8

Step-by-step explanation:

A sweater is on sale for 10% off. It is normally priced $50. What is the new price of the sweater

Answers

I could be wrong but I think it is $5

Can someone pleaaseeee help me understand median for algebra i need an example to!!??!??

Answers

All u do with the median is put them in number order from least to greatest then you get rid of one at a time on each side then u should end up in the middle and that is ur answer if there are two then add them up the divide by two

Find the area and perimeter of the rectangle below. Put answers in simplest radical form

Answers

Answer:

Area = 34 - 11√10

Perimeter = 22-4√10

Step-by-step explanation:

Let's do perimeter first bc it's easier.. To find perimeter add up all four sides.

P = (3-√10 )+ (8-√10)+(3-√10 )+ (8-√10)

add all the 3s and 8s.

P = 22-√10-√10-√10-√10

combine all the √10s

P = 22 - 4√10

Area is just length × width. If you know how to multiply binomials (like (x-3)(x-7) for example) you will do it the same way. You may have learned an area model or an algorithm called FOIL. You can use these methods. Basically it's just an amped up version of distributive property. To find the area, it takes four multiplications :

A = length × width

= (8-√10)(3-√10)

= 24 - 8√10 - 3√10 + 10

= 34 - 11√10

sketchy electronics claims that only 3% of its smartphones are defective. no information is given about how the company obtained its data.

Answers

Sketchy Electronics claim that only 3% of its smartphones are defective is not credible, as the company has not provided any information about how it obtained its data. Without knowing more about the sampling method, it is impossible to say whether the 3 percentege figure is accurate.

There are many different ways to collect data about the defective rate of smartphones. For example, a company could survey its customers, inspect a random sample of phones, or track the number of warranty claims. The method that Sketchy Electronics used to collect its data is not known, so it is impossible to say whether the 3% figure is accurate.
Even if Sketchy Electronics used a rigorous sampling method, the 3% figure could still be misleading. For example, if the company only surveyed its customers who were happy with their phones, the 3% figure would likely be lower than the actual defective rate.
In conclusion, Sketchy Electronics' claim that only 3% of its smartphones are defective is not credible. Without knowing more about how the company obtained its data, it is impossible to say whether the 3% figure is accurate.
Here are some additional steps that could be taken to assess the accuracy of Sketchy Electronics' claim:
* The company could release more information about how it collected its data.
* An independent organization could conduct a survey of Sketchy Electronics' customers.
* The company could track the number of warranty claims it receives.
By taking these steps, Sketchy Electronics could provide more transparency about its defective rate and help consumers make informed decisions about whether to purchase its products.

Learn more about percentege here:

https://brainly.com/question/32197044

#SPJ11

what is the point-slope form of a line that has a slope of 3 and passes through point (1,4)

Answers

Answer:

y=3x+1

Step-by-step explanation:

y=mx+b

y=3x+1

4=(3*1)+b

4=3+b

1=b

y=(3*1)+1

y=3+1

y=4

A tennis racket and a tennis
ball cost $2.10. The tennis
racket costs two dollars more
than the tennis ball.
How much does the
tennis ball cost?
Type Answer
SUBMIT
HELP QUICK

Answers

Answer:

Step-by-step explanation:

You want to start by subtracting 2.10 - 2 which = $0.10

The cost of the tennis ball is $0.05.

Let the cost of tennis racket be R.Let the cost of tennis ball be B.

To find the cost of the tennis ball:

Translating the word problem into an algebraic expression, we have;

$R + B = 2.10$ ....equation 1

$R = B + 2$ .....equation 2

Substituting eqn 2 into eqn 1, we have;

$B + 2 + B = 2.10\\\\2B + 2 = 2.10\\\\2B = 2.10 - 2\\\\2B = 0.10\\\\B = \frac{0.10}{2}$

Tennis ball, B = $0.05

Therefore, the tennis ball cost $0.05.

Find more information: https://brainly.com/question/596290

for manual cutting operations, the travel angle should be a push angle of ____.

Answers

The ideal travel angle for manual cutting operations is a push angle of 30-45 degrees.

Explanation: When performing manual cutting operations, it is important to consider the travel angle, which refers to the direction in which the cutting tool moves in relation to the workpiece. The recommended travel angle for most cutting operations is a push angle of 30-45 degrees. This means that the cutting tool should be positioned at an angle, pushing forward against the workpiece as it cuts. This angle allows for optimal cutting efficiency and control.

A push angle within this range ensures that the cutting force is distributed evenly, minimizing the risk of tool slippage or workpiece damage. It also helps to maintain good visibility of the cutting path, reducing the chances of errors or accidents. Additionally, the push angle allows the operator to exert sufficient downward pressure on the cutting tool, aiding in effective material removal. Overall, a push angle of 30-45 degrees is considered the most effective for achieving accurate and efficient manual cutting operations.

To learn more about angle click here, brainly.com/question/30147425

#SPJ11

Natalie has $20 $5 $1 $1 $1 and she needs two more bills to make $48 which bills will she need

Answers

Two $10 bills would be the answer

Answer:

....................

Louise is planning to renovate her house. She intends to spend no more than $30 000. She has
$20 000 to invest in an account that pay 4.28% compounded monthly. How long will it take
Louise to meet her goal? Show your work. Round your answer to the nearest tenth of a year.

Answers

Answer: To solve this problem, we can use the formula for calculating the future value of an investment:

FV = PV * (1 + r/n)^(nt)

where:

FV is the future value of the investment

PV is the present value of the investment (the initial amount Louise has to invest)

r is the annual interest rate (4.28%)

n is the number of times the interest is compounded in a year

t is the number of years the investment is made

Since the interest is compounded monthly, we need to convert the annual interest rate to a monthly rate:

r/12 = 4.28% / 12 = 0.3566666666666667%

Now, we can use the formula to calculate the future value of Louise's investment:

FV = $20,000 * (1 + 0.3566666666666667%)^(12t)

We can use trial and error or iterative methods to find the value of t that satisfies the condition: FV = $30,000.

A quick approximation is to use the formula for simple interest:

FV = PV * (1 + r * t) = $20,000 * (1 + 0.0428 * t)

t = ($30,000 - $20,000) / ($20,000 * 0.0428) = 2.857142857142857 years, or approximately 2.9 years.

This is an approximation, but it should be close to the actual answer. To get a more accurate answer, we can use an iterative method, such as Newton-Raphson or bisection, to solve for t in the formula above.

Step-by-step explanation:

Other Questions

In "Primary Lessons," a central idea is that, from a very young age, the narrator grows up split between two cultures. Use details from the text to explain how those details convey the central idea.HELP!!!! in the models created for the global burden of disease project, which term refers to any short- or long-term reduction in health status? Honest signals are inherently honest because of _______A costs, which means that these signals are energetically expensive to make, and because of ________A costs, which means that the use of these signals is socially reinforced. of the cartons produced by a company, 10% have a puncture, 8% have a smashed comer, and 13% have both a puncture and a smashed comer. Find the probably that a randomly selected carton has a puncture or a smashed comer CE The probability that a randomly selected carton has a puncture or a smashed corner _____ (Type an integer or a decimal. Do not round.) Your company has decided that security is very important and wants to add a second security check that will identify its employees while they are logging in to their computers. What type of security do you recommend?answer choicesSmart cardsKey fobsHardware tokensBiometric locks a friend of yours is loudly singing a single note at 401 hz while racing toward you at 24.3 m/s on a day when the speed of sound is 347 m/s .a. What frequency do you hear? b. What frequency does your friend hear if you suddenly start singing at 400 Hz? c. Once your friend reaches you, and you are next to each other (essentially at the same location) and not moving, your friend sings 400 Hz. You are also singing. If you hear 3 beats per second, what frequency are you singing? suppose that a manager is interested in estimating the average amount of money customers spend in her store. after sampling 36 transactions at random, she found that the average amount spent was $ 41.15 . she then computed a 90 % confidence interval to be between $ 38.01 and $ 44.29 . which statement gives a valid interpretation of the interval? there is a 90 % chance that a randomly selected customer will spend between $ 38.01 and $ 44.29 . the store manager is 90 % confident that the average amount spent by the 36 sampled customers is between $ 38.01 and $ 44.29 . the store manager is 90 % confident that the average amount spent by all customers is between $ 38.01 and $ 44.29 . there is a 90 % chance that the mean amount spent by all customers is between $ 38.01 and $ 44.29 . which features or processes do not describe convergent plate boundaries? group of answer choices a high potential for mountain building or volcanism the destruction of oceanic plate material from subduction processes continental rifting processes like the red sea compressional forces the formation of extensive trench systems Sort each item as a characteristic of respiration, fermentation, or both Characteristics(9 items) (Drag and drop into the appropriate area below) NADH major electron carrier Electrons reduce an external electron acceptor (e.g., O2). Important for catabolism of sugars Most carbon remains in organic form Pyruvate is major intermediate. Most carbon released as CO Process Respiration Fermentation Both Drag and drop here Drag and drop here Drag and drop here Suppose you live in a CAPM world. Market efficiency means:Todays price do not reflect yesterdays informationStock market return should be equal to bond market returnAll stocks should have the same expected returnsHigh beta assets return should be higher than riskless assets return A tsunami traveling across deep water can have a speed of 750 km/h and a wavelength of 350 km. What is the frequency of such a wave? select all of the following descriptions that match what happens when a ferromagnetic material is placed in an external magnetic field. a. the ferromagnetic material becomes magnetized. b. nothing, ferromagnetic materials do not interact with magnetic fields. c. the ferromagnetic material becomes negatively charged. d. the ferromagnetic material becomes positively charged. e. the external magnetic field induces magnetic poles in the ferromagnetic material. f. the ferromagnetic material rapidly cools. One of the legs of a right triangle measures 4 cm and its hypotenuse measures 11 cm. Find the measure of the other leg. If necessary, round to the nearest tenth. What is the value of x in the equation 1/4(4 + x) = 4/3 Select the appropriate conjugationin the present tense.leer (yo)A. leemosB. leeC. leesD. leo You are on frictionless horizontal ice and standing still at a point A.Another point, B, is several meters away and you want to get there.Assume that you take off your hat and stand on it when you make a bet.Can you now manage to get to point B (without a hat)? Justify the answer briefly. Select all the features of ABCA - It is a right triangle.B - It is isosceles.C - It is equilateral.D - Its perimeter is 68 units.E - Its area is 8.5 square units. Fannie Mae issues ______ to raise funds to purchase pools of conforming mortgages from financial institutions, then issues ______ based on those mortgage pools, which it sells to outside Suppose Elena has $5 and sells pens for $1.50 each. Her goal is to save $20 to buy a t-shirt. She does not spend any money while she is saving money.Let p represent the number of pens Elena sells. Write an expression for how much money she saves in total after selling p pens. Write an equation using your answer from question 1, showing that she saves exactly $20.Solve the equation you wrote from question 2. What do you notice about your value for p?What if Elena wants to have some money left over? Write an inequality using your expression from question 1 to show this. Write down other values for p where Elena would have money left over.Write an inequality using p, to describe the values of p where she would be able to buy the tshirt and still have money left over. (a) What are two central ideas the author develops in the article? A S(b) Compare Of the two central ideas you identified, which one does theauthor develop more effectively? Explain, citing supporting evidence.