Which statements are correct about the first quartile of debt_to_income variable? Select all. Approximately 26.6% of loans have debt-to-income ratios less than 25%. Approximately 25% of loans have debt-to-income ratio less than 0.266. The proportion of loans with debt-to-income ratios greater than 0.266 is approximately 75%. Approximately 75% of loans have debt-to-income ratios more than 0.266. The proportion of loans with debt-to-income ratios greater than 0.25 is approximately 26.6%. The proportion of loans with debt-to-income ratios less than 0.25 is approximately 26.6%. Approximately 75% of loans have debt-to-income ratios less than 0.266. Approximately 26.6% of loans have debt-to-income ratios less than 75%. The proportion of loans with debt-to-income ratios less than 0.266 is approximately 25%. Approximately 25% of loans have debt-to-income ratios more than 0.266. Which statements are correct about the third quartile of debt_to_income variable? Select all. The proportion of loans with debt-to-income ratios less than 0.743 is approximately 75%. The proportion of loans with debt-to-income ratios greater than 0.743 is approximately 25%. Approximately 74.3% of loans have debt-to-income ratios less than 25%. Approximately 75% of loans have debt-to-income ratios less than 0.743.Approximately 75% of loans have debt-to-income ratios less than 0.743. The proportion of loans with debt-to-income ratios greater than 0.75 is approximately 74.3%. The proportion of loans with debt-to-income ratios less than 0.75 is approximately 74.3%. Approximately 74.3% of loans have debt-to-income ratios less than 75%. Approximately 25% of loans have debt-to-income ratios more than 0.743. Approximately 25% of loans have debt-to-income ratios more than 0.743.

Answer:

11 is the answer

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

to find one of the addend

subtract another one of the addend by the sum

eg : 9 + __= 20

20 - 9 = 11

now we can check

9 + 11 = 20

hope this helps

thanks bye

The initial number of dice rolled = 1000

What is exponential modeling?

Based on an equation like where Y = deterioration, T = time, and A and B = parameters to be calculated by the regression approach based on historical data, the exponential model represents the degradation failure process.

Here,

Linear models are used when a phenomenon is changing at a constant rate whereas exponential models are used when a phenomenon is changing in a way that is quick at first, then more slowly, or slow at first and then more quickly. This is the defining characteristic of the exponential model.

(a)

dice(n) = 1000 × (−0.138629436ln)........... (1)

The initial number of dice rolled when n=0

Putting n=0 in (1),

dice(0) = 1000e(0) = 1000

Hence, the initial number of dice rolled = 1000

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The height of the arch at a distance of 1.5 meters from the center is approximately D. 1.73 meters

The shape of a semi-elliptical arch can be described by the equation:

y = c * sqrt(1 - (x/a)^2)

where "a" is half the span of the arch, "c" is the central height of the arch, and (x,y) are the coordinates of a point on the arch, measured relative to the center of the arch.

In this case, we have a span of 6 meters, so a = 3 meters. The central height of the arch is 2 meters, so c = 2 meters. We want to find the height of the arch at a distance of 1.5 meters from the center, so x = 1.5 meters.

Substituting these values into the equation, we get:

y = 2 * sqrt(1 - (1.5/3)^2)

y = 2 * sqrt(1 - 0.25)

y = 2 * sqrt(0.75)

y = 2 * 0.866

y = 1.732

Therefore, the height of the arch at a distance of 1.5 meters from the center is approximately 1.73 meters. Answer D

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Your question is incomplete, but probably the complete question is :

A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch.

A.   1.41 m C.   1.56 m

B.   1.63 m D.   1.73 m

The area of the parallelogram is \(\sqrt{132}\).

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.

Given that,

vertices k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), and n(6, 7, 3)

Area of Parallelogram = |KL × KN|

KL = (1, 1, 3) - (1, 3, 5) = (0, 2, 2)

KN = (1, 2, 3) - (3, 7, 3) = (2, 5, 0)

Area of the parallelogram = cross product of two vectors, represented by the adjacent sides.

Area of Parallelogram = |(0, 2, 2) × (2, 5, 0)|

                                    = |i(2 × 0 - 5 × 2) - j(0 × 0 - 2 × 2) + k(0 × 5 - 2 × 2)|

                                    = |i(-10) - j(-4) + k(-4)|

                                    = |-10i + 4j - 4k|

                                    = \(\sqrt{(-10)^{2}+(4)^{2}+(-4)^{2} }\)

                                    = \(\sqrt{100+16+16}\)

                                    = \(\sqrt{132}\)

Hence, The area of the parallelogram is \(\sqrt{132}\).

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Answer:

£\(\frac{x - t - 200}{2}\)

Step-by-step explanation:

His wage is £x.

He pays tax of £t.

He's left with £(x - t).

He then pays rent of £220.

He's now left with £(x - t - 220)

He shares what's left between himself and his wife. We are not told how exactly they shared it but we can assumed he shared it in half.

Therefore, each of them will get half of £(x - t - 220):

£\(\frac{x - t - 200}{2}\)

All the above can represent stable interhalogen compounds. Interhalogen compounds are formed when different halogens combine with each other.

The general formula for interhalogen compounds is given by XYn, where X and Y represent different halogens, and n represents the number of Y atoms bonded to the X atom. The interhalogen compounds can have different stoichiometries, resulting in different values of n. Therefore, all the given formulas, XY, XY2, XY3, and XY5, can represent stable interhalogen compounds, depending on the specific combination of halogens and their bonding arrangements.

Hence, none of the given formulas does not exist for interhalogen compounds, as all of them can be valid representations of stable interhalogen compounds.

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Answer:

Solving the Equations of General Relativity for Colliding Black Holes

TOPICS:AstronomyAstrophysicsBlack HoleGeneral RelativityPopularTexas Advanced Computing CenterUniversity Of Texas At Austin

By UNIVERSITY OF TEXAS AT AUSTIN NOVEMBER 8, 2020

John and his three passengers travel a total of 20.25 miles on the toll lane.

To solve this problem, we can use the fact that each person pays about $0.81, which includes their contribution to the toll lane entry fee. This means that the total amount of money paid by John and his three passengers is 4 times $0.81, or $3.24.

We can then use this information to find the cost per mile of the toll lane. If they traveled a total of x miles on the toll lane, then the cost per mile would be:

$3.24 / x

We can set this equal to the given cost of 16 cents per mile:

$0.16 = $3.24 / x

Multiplying both sides by x, we get:

x * $0.16 = $3.24

Dividing both sides by $0.16, we get:

x = $3.24 / $0.16

x = 20.25 miles

In summary, to find the distance they traveled on the toll lane, we used the fact that they split the cost of the toll, and that each person paid about $0.81. We then set the cost per mile equal to the given cost of 16 cents per mile, and solved for the distance traveled on the toll lane, which turned out to be 20.25 miles.

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Answer:

Hope this helps!

Step-by-step explanation:

21. 1/1000

22. 1 second

23. 0.16666666666

24. 0.1

25. 0.2

26. 5/48

27. 33.9 kilometers

Answer:

Yes

Step-by-step explanation:

They both equal 50%

Answer:

50%

Step-by-step explanation:

50%

Hope this will help you.

Please mark me as Brainllist

-pihu Roy.

The sampIe mean has a 0.9992 chance of being Iess than $453.

A measure οf a grοup οf vaIues' variance οr dispersiοn in statistics is caIIed the standard deviatiοn. When the standard deviatiοn is Iοw, the vaIues are mοre IikeIy tο faII within a narrοw range, aIsο knοwn as the expected vaIue, whereas when the standard deviatiοn is high, the vaIues tend tο be cIοser tο the mean.

The sampIing distributiοn οf the sampIe mean is apprοximateIy nοrmaI with mean μ = $450 and standard deviatiοn \(\sigma/ \sqrt{(n)} = \$40/\sqrt{(625)} = \$1.6\).

(a) Tο find the prοbabiIity that the sampIe mean wiII be Iess than $453, we standardize the sampIe mean:

\(z = (x - \mu) / (\sigma / \sqrt{(n)}) = (453 - 450) / (40 / \sqrt{(625)}) = 3.125\)

Using a standard nοrmaI tabIe, we find that the prοbabiIity οf getting a z-scοre οf 3.125 οr Iess is 0.9992.

Therefοre, the prοbabiIity that the sampIe mean wiII be Iess than $453 is 0.9992.

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Answer:

-5 would Be your answer

Step-by-step explanation:

Answer:

3x³ - 2x² + x - 5

Hope this helps!

Answer:

The common factor of all the terms of the polynomial 16x² - 14x is:

2x

Step-by-step explanation:

We are given a polynomial:

16x²-14x

We have to find the common factor of all terms.

First we factorize each term separately and then see the common factor.

16x²=2×2×2×2×x×x

14x=2×7×x

We observe that the common factor is:

2x

Hence,  the common factor of all the terms of the polynomial 16x² - 14x is:

2x

Answer:

2x

Step-by-step explanation:

16 = 2^4

14 = 2 × 7

Common factor of 16 and 14 is 2.

x² = x × x

x = x

Common factor of x² and x is x

The common factor of the two terms is 2x.

Answer:

(3)13.2

Step-by-step explanation:

c²=a²+b²

20²=15²+b²

20²-15²=b²

400-225=b²

175=b²

b=√175

b=13.2inches

Answer:

no

Step-by-step explanation:

you cannot divide zero into two equal parts because there is nothing there to start.  Since Pablo has no candy, he cannot divide it into two piles because there isn't anything to divide.

Answer: No because 0 means nothing  and you can't divide nothing among something so  that is like undefined.

Step-by-step explanation:

The exact value of sin(π/6) is 1/2.

To find the exact value of sin(π/6), we can use the unit circle or the trigonometric identity for the sine function. In the unit circle, π/6 corresponds to an angle of 30 degrees, which lies in the first quadrant.

At this angle, the y-coordinate of the corresponding point on the unit circle is 1/2. Since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle, for an angle of 30 degrees, sin(π/6) is equal to 1/2.

Alternatively, we can use the trigonometric identity sin(θ) = cos(π/2 - θ). Applying this identity, we have sin(π/6) = cos(π/2 - π/6) = cos(π/3). Now, π/3 corresponds to an angle of 60 degrees, which lies in the first quadrant.

At this angle, the x-coordinate of the corresponding point on the unit circle is 1/2. Therefore, cos(π/3) = 1/2. Substituting this value back into sin(π/6) = cos(π/3), we get sin(π/6) = 1/2.

In both approaches, we find that the exact value of sin(π/6) is 1/2, indicating that the sine function of π/6 radians is equal to 1/2.

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To decide whether it is sensible for Stacy to utilize the ordinary show for the inspecting conveyance of the test extent, we got to check whether the conditions for utilizing the typical conveyance estimation are met. The conditions are:

The test estimate is expansive sufficient

The test information is autonomous

The populace is at slightest 10 times bigger than the test

The test estimate, in this case, is 50. To check whether it is expansive sufficient, ready to utilize the run the show of thumb that the test measure ought to be at the slightest 10% of the populace estimate.

Hence, based on these conditions, it is sensible for Stacy to utilize the ordinary demonstration for the inspecting conveyance of the test extent. She can accept that the testing dispersion is roughly typical with a cruel of p = 0.11 and a standard deviation of sqrt[(p(1-p))/n] = sqrt[(0.11(0.89))/50] = 0.05.

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If the inflation rates in the first and the third years were 10% and 25%, respectively, then the inflation rate during the second year was 55%.

To calculate the inflation rate for the second year, we'll first determine the total inflation for the three-year period using the given average inflation rate, and then subtract the inflation rates for the first and third years.

To find the inflation rate during the second year, we need to use the formula:

Average inflation rate = ((1 + inflation rate in year 1) * (1 + inflation rate in year 2) * (1 + inflation rate in year 3))^(1/3) - 1

Step 1: Calculate the total inflation for the three-year period
Average inflation rate = 30% per year
Total inflation = Average inflation rate × number of years = 30% × 3 = 90%

Step 2: Subtract the inflation rates for the first and third years
Total inflation = 90%
Inflation in the first year = 10%
Inflation in the third year = 25%

Step 3: Calculate the inflation rate for the second year
Inflation in the second year = Total inflation - (Inflation in the first year + Inflation in the third year) = 90% - (10% + 25%) = 90% - 35% = 55%

So, the inflation rate during the second year was 55%.

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Answer:

I don't really get what the question is asking but 865 with an exponent of 2 times 865 with an exponent of 3 is 484,262,162,790,625

Step-by-step explanation:

Hope this helped <3

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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A supply function is an equation or formula that represents the relationship between the quantity supplied of a product or service and the various factors that influence it, such as price, production costs, technology, and other relevant variables.

To draw the inverse demand and supply function into the graph below, we need to know the equations for the inverse demand and supply curves. Let's assume the demand and supply functions are given as follows:

\($$Q_{D}=100-4 P$$$$Q_{S}=10+2 P$$\)

To get the inverse demand and supply functions, we can solve each equation for price (P) as follows:

\($$P=\frac{100-Q_{D}}{4}$$$$P=\frac{Q_{S}-10}{2}$$\)

Now we have the inverse demand and supply functions as follows:

\($$P_{D}=\frac{100-Q_{D}}{4}$$$$P_{S}=\frac{Q_{S}-10}{2}$$\)

Using these equations, we can create the graph as shown below: To find the quantity of excess supply or excess demand at a specific price, we need to compare the quantity demanded and the quantity supplied at that price. If quantity demanded is greater than quantity supplied, there is excess demand. If quantity supplied is greater than quantity demanded, there is excess supply. At P = 2, the quantity demanded is:

\($$Q_{D}=100-4 P=100-4(2)=92$$\) The quantity supplied is:

\($$Q_{S}=10+2 P=10+2(2)=14$$\)

Therefore, there is an excess supply of: \($$92-14=78$$\)

Hence, at P = 2, there will be 78 of excess supply.

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According to the given logarithm 3 log₄ x+2 log₄x written as a single logarithm 5 log₄(x).

When they urge you to "simplify" a log expression, it usually implies they've given you a bunch of log terms, each with a simple argument, and they'd like you to combine them all into one log with a sophisticated argument. In this sense, "simplifying" usually means the inverse of "growing."

3 log₄ x+2 log₄ x

Add similar elements:

So:

This expression can be written as:

3 log₄ (x)+2 log₄ (x) = 5 log₄(x)

According to the given logarithm 3 log₄ x+2 log₄x written as a single logarithm 5 log₄(x).

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Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

- 3y + 4x = 9

3y = 4x - 9

Divide both sides by 3

y = 4/3x - 3

Comparing with the above formula

Slope / m = 4/3

Since the lines are parallel their slope are also the same

So slope of the parallel line l is also 4/3

Equation of the line using point (-12 , 6) is

y - 6 = 4/3(x + 12)

Multiply through by 3

That's

3y - 18 = 4(x + 12)

3y - 18 = 4x + 48

We have the final answer as

Hope this helps you

Answer:

2170 words

Step-by-step explanation:

If we are assuming words and minutes are directly proportional to each other, we can say that w (words) = k (constant variable) x t (time in mins).

K is the constant variable, which we must work out to find out any other time. If you rearrange the formula, it shows that k can be calculated by doing w/t. We have a set of values we can use to calculate k which are given in the question. So if we use this formula to calculate k, then:

k= w/t

k= 496/8

k= 62

Now we know the constant variable is 62. So, we go back to our equation but now we must find how many words. We now have our k value and our value for t. So, now we substitute:

w=kt

w= 62 x 35

w= 2170

Answer:

8:5. 16:10

Step-by-step explanation:

5 was doubled so you would double 8 aswell

Answer:

C

Step-by-step explanation:

Its D because the arrow is facing away from 50 so that means she will have at least 50 then it says 6m and m stands for month soo 6 new shells every month and she already has 8. I hope my answer helps i might sound kinda confusing sorry

(a) The domain closed and bounded.

(b) The domain bounded.

(c) The domain closed.

(d) The domain bounded.

(e) The domain closed and bounded.

(f) The domain closed and bounded.

In this question, we have been given some domains.

We need to check which domains are closed and which are bounded.

A domain of function is said to be closed if the region R contains all boundary points.

A bounded domain is nothing but a domain which is a bounded set.

(a) {(x,y)∈R2:x^2+y^2≤1}

The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2

so, the domain closed and bounded.

(b) {(x,y)∈R2:x2+y2<1}

The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2

so, the domain is bounded.

(c) {(x,y)∈R2: x ≥ 0}

The domain of x ≥ 0 is R2 - {x < 0}

So, the domain is closed.

(d) {(x, y) ∈ R2 : x > 0,y > 0}

The domain is R2 - {(x, y) ≥ 0}

So, the domain is bounded.

(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}

The domain is closed and bounded.

(f) {(x,y)∈R2:x>0,x^2+y^2≤10}

The domain is closed and bounded.

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Answer:

1.1 cm or 7.9 cm

Step-by-step explanation:

Given:

Point D mark for 4.5 cm

Distance between points D and E =3.4 cm

Find:

Location of point E

Computation:

Assume;

Point o = 0 cm mark

Point E = Point D mark - Distance between points D and E

Point E = 4.5 cm - 3.4 cm

Point E = 1.1 cm

or

Point E = Point D mark + Distance between points D and E

Point E = 4.5 cm  + 3.4 cm

Point E = 7.9 cm