What is the value of 3 3 5÷ 4 6?

Answers

Answer 1

Answer:a

Step-by-step explanation:


Related Questions

A matrix A has x rows and x+5 columns. B has y rows and 11−y columns. Both AB and BA exist. Find x and y.

Answers

Answer:

  x = 3

  y = 8

Step-by-step explanation:

A matrix product exists if and only if the number of columns in the left matrix is equal to the number of rows in the right matrix.

Setup

For AB to exist, we must have ...

  columns of A = rows of B

  x +5 = y

For BA to exist, we must have ...

  columns of B = rows of A

  11 -y = x

Solution

Using the second equation to substitute for x in the first equation, we have ...

  (11 -y) +5 = y

  16 = 2y

  8 = y

Then the value of x is ...

  11 -8 = x = 3

The values of x and y are ...

x = 3y = 8

__

Additional comment

The dimensions are A = 3×8; B = 8×3.

An American roulette wheel contains 38 slots. Eighteen of the slots are colored red and eighteen are colored
black. The remaining two slots are colored green. A ball is spun on the wheel and comes to rest in one of the
38 slots. If you bet $1 on the the number 32 and win, the house pays you $36.
What is the expected value of betting on 32?
$1
O-$1
4
O-$5.30
O-$0.053

Answers

The expected value of betting 32 is -$0.053, making the 4th option the right choice.

In the question, we are asked for the expected value of betting on 32, given that if we bet $1 on the number 32 and win, the house pays $36, and there are 38 slots.

The probability distribution can be shown as:

 x       $35       -$1

p(x)    1/38      37/38

as, if we get 32, which has the probability of 1/38, the winning number, we gain $35, and for the rest, having a probability of 37/38, the losing number, we lose -$1.

Thus, the expected value can be calculated as E(x) = ∑x.p(x).

Thus, the expected value = $35(1/38) + (-$1)(37/38) = -$2/38 = -$0.05263 ≈ -40.053.

Hence, the expected value of betting 32 is -$0.053, making the 4th option the right choice.

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2. State two (2) values of θ (theta) to the nearest degree for
sin θ = − 0. 966

Answers

Using equivalent angles, the solutions to the equation are given as follows:

[tex]\theta = 255^\circ, \theta = 285^\circ[/tex]

What are equivalent angles?

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the equation is:

[tex]\sin{\theta} = -0.966[/tex]

Applying the inverse relation:

[tex]\theta = \arcsin{-0.966} = 255^\circ[/tex]

Which is on the third quadrant. The equivalent angle on the fourth quadrant is given as follows:

[tex]270^\circ + (270^\circ - 255^\circ) = 285^\circ[/tex]

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Find the missing length indicated. need help

Answers

The missing length of given right triangle is equal to 25.

RIGHT TRIANGLE

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean  Theorem.

The Pythagorean Theorem says: (hypotenuse)²=(leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x),  cos (x) and tan (x) , where:

[tex]sin(x)=\frac{opposite\ leg}{hypotenuse} \\ \\ cos(x)=\frac{adjacent\ leg}{hypotenuse} \\ \\ tan(x)=\frac{opposite\ leg}{adjacent\ leg}[/tex]

There is another important property, where h²=m*n. See the attached image.

From the previous informations presented, you can solve the given question.

From Pythagorean Theorem you can find h (heigth). Thus,

15²=9²+h²

h²=225-81

h²=144

h=12

If h=12 and m=9, from  h²=m*n you can find n.

h²=m*n

12²=9*n

144=9n

n=144/9

n=16

Therefore, x= m+ n= 9+16=25.

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find the slope of this line

Answers

The slope of the line is -1/2

Which of the following is a true proportion of the figure based on the triangle
proportionality theorem?

Answers

Based on the triangle proportionality theorem, the true proportion is h/j=k/i

How to solve for the true proportion

In the diagram that we have here, we have TU to be parallel to QR.

We have following

ST is equal to h, TQ is equal to j, SU is equal to k and UR is equal to i.

This can then be used to form the equation

ST/TQ = SU/UR

When we h/j = k/i

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A Textile Company bought equipment for $40,000. The residual value is $6,000.
The company assumes the equipment will have a useful life of 170,000 units. What
is depreciation expense per unit of production?

$2.00
$1.20
$0.75
$0.20

Answers

The depreciation expense per unit of production for the Textile Company is D. $0.20.

What is the unit-of-production depreciation method?

The unit-of-production depreciation method uses the useful life of an asset based on the units of production and the depreciable amount to estimate the depreciation expense per unit.

For each period, the depreciation expense per unit is multiplied by the units of production to determine the period's total depreciation expense.

Data and Calculations:

Cost of equipment = $40,000

Residual value = $6,000

Depreciable amount = $34,000 ($40,000 - $6,000)

Estimated useful life = 170,000 units

Depreciation expense per unit of production = $0.20 ($34,000/170,000)

Thus, the depreciation expense per unit of production for A Textile Company is D. $0.20.

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Which of the following rational functions is graphed below?

Answers

Answer: D

Step-by-step explanation:

There are vertical asymptotes at x=7 and x=-3, so the denominator should have factors of (x-7) and (x+3).

This eliminates everything except for D.

which of the following functions is graphed below?​

Answers

The function that's illustrated in the graph is function D.

How to explain the function?

First, you look at the left side of the graph. You can tell by the shape that it is an x³ function.

Also, the filled-in circle means inclusive. so we know that when x is less than or equal to a number.

The answer that illustrates the information explained is D.

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Answer:

B.

Step-by-step explanation:

An open circle means to exclude the point.

A closed circle means to include the point.

In this graph we see a part of a parabola with an open circle above. The parabola starts at x = 1, but does not include x = 1, and the x values of the parabola increase.

A parabola has an x squared in the equation.

The solution has to have an equation with an x² as its greatest exponent, and also must include x > 1.

The lower part of the graph is a third degree polynomial, so it must have an x cube term, x³. Also, the greatest x value for the x³ function is x = 1, but x = 1 is included. Then all x values tot he left of x = 1 are also included, so for the cubic polynomial, the domain (x values) must be x ≤ 1.

The answer is B.

Let f(x) = √3x and g(x) = x + 3. What's the smallest number that is in the domain of
fºg?

Answers

Answer:

-3

Step-by-step explanation:

[tex]f\left( x\right) =\sqrt{3x} \ \ \text{and} \ \ g\left( x\right) =x+3[/tex]

it’s clear that :

f is defined if and only if  x ≥ 0

Therefore ,

fºg is defined if and only if x + 3 ≥ 0

x + 3 ≥ 0

⇔ x ≥ -3

Then ,the smallest number that is in the domain of fºg is -3

Which expression is it equivalent too help a brother out

Answers

The expression which is equivalent to the given expression in the task content is; 1/x²⁴.

Which expression is equivalent to the given expression?

It follows from the task content that the given expression is; ((x)^-6/x²)³.

Hence, it follows from the laws of indices that the expression can be evaluated as follows;

= (x^-8)³

= x^-²⁴

= (1/x²⁴).

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Charlotte owns two entertainment websites. Here are some details about those
websites for one entire month:
Number of writers
Number of posts posted
Average number of words of post
Average likes per post
Average comments per post
Number of new subscribers
Revenue
Expenses
Profit (Revenue-Expenses)
Website A Website B
5
11
110
200
100
170
3500
450
20,000
$75,000
$47,000
$28,000
3500
500
9000
$30,000
$20,000
$10,000
Charlotte wants to know which website produces a larger amount of content per a
single writer.
1) Charlotte thought of two different ways to define this quantity, Identify these two
definitions among the following options.
4 of 4

Answers

In order to define the quantity of which of the two website produces a larger amount of content per single writer, Charlotte thought of:

A Average number of posts per writer C Average number of words per writer

How can Charlotte define the quantity?

Charlotte wants to know which website has more content per writer which means that she wants to know which website is more productive with writing.

One way she can do this is to check the average number of posts per writer per website. This would show her which website has a writer that writes more content on average.

Charlotte could also use average number of words per writer. This shows just how much writing the writers in each websites are doing, in terms of words. The website with the higher average words per writer is therefore providing more content.

Options for this question include:

A Average number of posts per writerB Total number of wordsC Average number of words per writerD Average number of likes per word

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Can anyone help me with this question?:)

Answers

Answer:

ΔABC ≅ ΔEDF

Step-by-step explanation:

Triangle ABC is congruent to triangle EDF because they're the same size.

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

[tex] \sf\triangle ABC \cong \triangle DEF[/tex]

For checking congruency, we need to follow a proper order when choosing the triangle. because each triangle name is unique in itself.

So, According to Triangle ABC, we need to find the triangle with first two letters That resembles AB, that is :

AB = DE

and next should be :

BC = EF

[tex] \qquad \large \sf {Conclusion} : [/tex]

so, now we got the sense for naming, therefore the answer will be :

[tex] \sf\triangle ABC \cong \triangle DEF[/tex]

Use the drawing tool(s) to form the correct answer on the provided graph.

Graph the solution to this system of inequalities in the coordinate plane.

3y 2x+122x + y ≤5

Answers

The plotting of the inequalities was done using geogebra online graphing calculator. The graph is attached.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. It should be noted that in inequality, unlike in equations, we compare two values.

The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. Inequality is an expression used to show the nonequal comparison of numbers and variables.

Given the system of inequalities:

3y > 2x + 12

3y - 2x > 12   (1)

2x + y < -5    (2)

Plotting the inequalities using GeoGebra online graphing calculator. The graph is attached

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In which data set is the mean greater than the median?

Answers

One of the basic tenets of statistics that every student learns in about the second week of intro stats is that in a skewed distribution, the mean is closer to the tail in a skewed distribution. So in a right skewed distribution (the tail points right on the number line), the mean is higher than the median.

Drag a statement or reason to each blank in the table to complete the proof that <1 is congruent to <7.

Answers

Step-by-step explanation:

<1 congruent to <5.

<5 congruent to <7.

<1 congruent to <7.

Answer:

don't know but i need thee points

Step-by-step explanation:

Question 22: 4 pts
Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced.
Another card is randomly selected. What is the probability of selecting two prime numbers?
2/9
O1/12
1/9
1/6

Answers

The probability of selecting two prime numbers is 1/6.

What is the probability?

Probability determines the odds that a random event would happen. The odds that the random event would happen lie between 0 and 1.

The probability of selecting two prime numbers  = (number of prime numbers between 1 and 9 / total numbers between 1 and 9) x [(number of prime numbers between 1 and 9 / total numbers between 1 and 9) - 1]

Prime numbers between 1 and 9 = 2, 3, 5, 7

4/9 x 3/8 = 1/6

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Write the equation of the line that is perpendicular to the graph of

2x-3y=-3

and passes through (–3, 0).

Answers

Answer:

Step-by-step explanation:

eq. of line is 2x-3y=-3

its slope=(-co-efficient of x/co-efficient of y)=-2/-3=2/3

slope of line perpendicular to given line=-3/2

eq. of line through (-3,0) is

y-0=-3/2 (x+3)

2y=-3x-9

3x+2y=-9

or

any eq. perpendicular to given line is

3x+2y=c where c is a constant.

it passes through (-3,0)

3(-3)+2(0)=c

c=-9

reqd. eq. is

3x+2y=-9

The following data show the scores of some students in a competition:


13 points

24 points

31 points

24 points

27 points

23 points

11 points



Which box plot represents the data?
A box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 23 to 27 on the number line. A line in the box is at 24. The whiskers end at 11 and 31.
A box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 24. The whiskers end at 11 and 31.
A box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 23. The whiskers end at 11 and 31.
A box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 24. The whiskers end at 10 and 35.

Answers

The box plot that represents the data is a box plot titled "Scores of Participants" and labeled "Score" uses a number line from 10 to 35 with primary markings and labels at 10, 15, 20, 25, 30, and 35. The box extends from 13 to 27 on the number line. A line in the box is at 24. The whiskers end at 11 and 31.(second option)

Which box plot represents the data?

A box plot is used to study the distribution and level of a set of scores. The whiskers represent the minimum and maximum values.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. 75% of the scores represents the upper quartile.

The data arranged in ascending order : 11, 13, 23, 24, 24, 27, 31

Median = 24

First quartile = 1/4 x (7 + 1) = 2nd term =13

Third quartile = 3/4 x (7 + 1) = 6th term = 27

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Complete the statements. If both expressions have the same value after substituting and simplifying two different values for the variable, then they are . The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are .

Answers

When both expressions have the same value,  then they are equal to each other.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

Consider the expressions 5 + 8k and 8k + 5.

Using k = 3

5 + 8k = 8k + 5

5 + 8(3) = 8(3) + 5

5 + 24 = 24 + 5

29 = 29

Using k = 5

5 + 8k = 8k + 5

5 + 8(5)= 8(5) + 5

5 + 40 = 40 + 5

45 = 45

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Complete question:

Consider the expressions 5 + 8k and 8k + 5. Determine why the expressions are equivalent.

Using k = 3 5 + 8k 8k + 5 5 + 8(3) 8(3) + 5 5 + 24 = 29 24 + 5 = 29

Using k = 5 5 + 8k 8k + 5 5 + 8(5) 8(5) + 5 5 + 40 = 45 40 + 5 = 45

Complete the statements.

If both expressions have the same value after substituting and simplifying two different values for the variable, then they are.

The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are.

Consider the following 8 numbers, where one labelled
x
is unknown.

34
,


31
,


15
,


x
,


17
,


4
,


20
,


25


Given that the range of the numbers is 69, work out 2 values of
x
.
x
=

x
=

Answers

Answer:

x = 73

x = -35

Step-by-step explanation:

Here are the 8 numbers:

34, 31, 15, x, 17, 4, 20, 25

Here are the 8 numbers in ascending order with x as the greatest number:

4, 15, 17, 20, 25, 31, 34, x

x - 4 = 69

x = 73

Here are the 8 numbers in ascending order with x as the smallest number:

x, 4, 15, 17, 20, 25, 31, 34

34 - x = 69

-x = 69 - 34

-x = -35

x = -35

Answer:

x = 73

x = -35

Write the expression as a polynomial:
(a-2)(4a³-3a²)

Answers

Answer:

[tex]4a^{4} -11a^{3} + 6a^{2}[/tex]

Consider the probability that fewer than 26 out of 107 cell phone calls will not be disconnected. Assume the probability that a given cell phone call will not be disconnected is 25%.
Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
Yes or no
please explain in detail how to do these

Answers

Since both np > 5 and n(1 - p) > 5, the normal curve can be used as an approximation to the binomial distribution.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The normal approximation can be used if:

np > 5.n(1 - p) > 5.

In this problem, the parameters are:

n = 107, p = 0.25.

Hence:

np = 107 x 0.25 = 26.75.n(1 - p) = 107 x 0.75 = 80.25.

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Give the name (monomial, binomial,
trinomial, etc.) and the degree of the
polynomial.
2x - 4
Name? [?]
Degree? [ ]

Answers

Answer:

Binomial

First Degree

Step-by-step explanation:

Naming and giving the degree of a polynomial can help people understand the different properties of an expression.

Naming Polynomials

Polynomials are named based on the number of terms in the expression.

Terms are the different coefficients and variables that are added or subtracted together.

For example, the expression above has 2 terms. The first being 2x and the second being 4. There are 2 separate terms being subtracted.

There are 3 main types of polynomials

Monomials have 1 termBinomials have 2 termsTrinomials have 3 termsMost polynomials above that are just called polynomials.

This specific expression is a binomial.

Degree

The degree of a polynomial is the highest exponent in the expression. For example, if the largest exponent is a 6, then the degree is also 6.

In the binomial above, there is no written exponent; however, it can be assumed that the variable "x" has an exponent of 1. Thus, this binomial is of the first degree.

Additionally, when writing a polynomial in standard form, the terms should be written in descending order of exponents.

Thomas took 3h to paint a room. Brian could paint the same room in 6h. How long would it take for both of them to finish painting the same room together?


please help !! no algebra please​

Answers

Answer:

2 hours

Step-by-step explanation:

If Thomas can paint 1/3 = 2/6 of the room in a hour and Brian can paint 1/6 of the room in an hour. Which means in an hour they can collectively paint 3/6 = 1/2 of the room. Now you need to find how long it would take then to paint 2/2 of the room. Knowing that 1/2+1/2 = 2/2, it would take them 2 hours to paint the room together

You should rotate tires on a car at regular intervals. In how many ways can four tires be arranged on a car?

Answers

The tires can be arranged in 24 ways. Computed using permutation.

The permutation is a way of selecting a smaller set from a larger set when the order of selection is not of concern.

For selecting r number of items, from n number of items, with the order of selection not being a concern, we can calculate the number of ways using permutation:

nPr = n!/(n - r)!.

In the question, we are asked the number of ways in which the four tires can be arranged on a car.

As we need to select 4 tires, from 4 tires, with any order, we will use permutation.

Thus, the number of ways can be calculated as 4P4, which can be calculated using the formula, nPr = n!/(n - r)!.

Thus, 4P4 = 4!/(4 - 4)! = 4!/0! = 24/1 = 24.

Thus, the tires can be arranged in 24 ways. Computed using permutation.

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A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/5 for pink, 1/25 for blue, 1/10 for yellow, and 1/15 for black. What is the probability of pulling a blue or yellow card,

Answers

The probability of pulling a blue or yellow card, written as a reduced fraction is 7/50

How to determine the probability of pulling a blue or yellow card, written as a reduced fraction?

From the question, we have the following probabilities:

P(Pink) = 1/5

P(Blue) = 1/25

P(Yellow) = 1/10

P(Black) = 1/15

The probability of pulling a blue or yellow card, written as a reduced fraction is the calculated as:

P(Blue or yellow card) = P(Blue card) + P(Yellow card)

Substitute the known values in the above equation

P(Blue or yellow card) = 1/25 + 1/10

Express 1/25 as 2/50 and 1/10 as 5/10

P(Blue or yellow card) = 2/50 + 5/50

Take the LCM

P(Blue or yellow card) = (2+ 5)/50

Evaluate the sum

P(Blue or yellow card) = 7/50

Hence, the probability of pulling a blue or yellow card, written as a reduced fraction is 7/50

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PLEASE HELP!!!!
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 400 minus quantity y minus 110 end quantity squared over 2304 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.

100 meters
50 meters
48 meters
40 meters

Answers

Answer:

  (a)  100 meters

Step-by-step explanation:

You want the width at the base of a cooling tower whose walls are modeled by the equation (x/20)² -((y-110)/48)² = 1.

Base

The width at the base will be the difference in the values of x when y=0.

  (x/20)² -((0 -110)/48)² = 1

  (x/20)² = 1 +3025/576

  x = ±20/24√3601 ≈ ±50.01

The width will be 50.01 -(-50.01) ≈ 100 meters.

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A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. A total of 10 cars were rented which can hold 66 people altogether. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.

Answers

The system of equations that could be used to determine the number of small cars rented and the number of large cars rented is;

x + y = 10

x + y = 105x + 7y = 66

Simultaneous equation

Small car = 5 peopleLarge car = 7 peopleTotal cars = 10Total number of people = 66

Let

Number of small cars rented = x

Number of large cars rented = y

x + y = 10

x + y = 105x + 7y = 66

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Question 4 of 10
What should you substitute for y in the second equation (bottom equation) in
order to solve the system by the substitution method?
5x+y=10
3x-2y =6
A. -0.2y+2
B. -5x+10
C. 5x-10
D. 1.5x+3

Answers

Answer:

B

Step-by-step explanation:

5x+y=10

-5x -5x

y= -5x+10

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Consider an electron in the N shell.1-What is the largest orbital angular momentum this electron could have in any chosen direction? Express your answers in terms of .Lz,max = _________ 14. you are a member of your company's emergency response team. you arrive on the scene and find another co-worker, who is not a professional rescuer, performing cpr. what do you do? Mrs Sinha bought one-third metre of pink material and five-sixths metre of purple material. How much material did she buy in total? if a patient begins relating to their therapist the same way they relate to their spouse, this would be an example of: clarification. resistance. transference. incongruence. In which stage of the new product development process is a SWOT analysis used to identify the strategic role the new product might serve in the firm's business portfolio O screening and evaluation Idea generation O development O new product strategy development business analysis A new holistic approach in new commercial product development efforts where the cross-functional team collaborating to develop a new product is compared to rugby, where the whole team "tries to go the distance as a unit," is known as why would estrogen be a bad choice for an ovulation kit hormone hich of the following is one of the seven characteristics that make up an organization's culture?a. department formalizationb. institutionalizationc. reward complexityd. outcome orientatione. beliefs and values Identify the strategy applied in software design to permit a system to continue functioning even in the presence of faults by enhancing its robustness.Group of answer choicesFault toleranceFault detectionFault removalFault avoidance under which of the following conditions is a product most likely to have an elastic demand? FILL THE BLANK. jody is suffering from severe tension headaches and anxiety due to an extremely overwhelming schedule. the most precise term for jody's physical and emotional reaction is ______. Duerr Company makes a $60,000, 60-day, 12% cash loan to Ryan Co. The note and interest to be collected at maturity is: (Use 360 days a year.)A) $67,200. B) $60,000. C) $1,200. D) $58,800. E) $61,200. A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary.A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number Which in-flight advisory would contain information on severe icing not associated with thunderstorms?a) Convective SIGMETb) SIGMETc) AIRMET let s be a compound poisson random variable with lamda 4 and p(xi =i) =1/3 determine p(s =5) The main political division under President Monroe was between Select the correct text in the passage.Which specific details shape the central idea that Joshua trees are important to the Mojave Desert ecosystem?[6] Today we enjoy this yucca for its grotesque appearance, a surprising sight in the landscape of biological interest. The Joshua tree's life cycle begins with the rare germination of a seed, its survival dependent upon well-timed rains. Look for sprouts growing up from within the protective branches of a shrub. Young sprouts may grow quickly in the first five years, then slow down considerably thereafter. The tallest Joshua trees in the park loom a whopping forty-plus feet high, a grand presence in the desert. Judging the age of a Joshua tree is challenging: these "trees" do not have growth rings like you would find in an oak or pine. You can make a rough estimate based on height, as Joshua trees grow at rates of one-half inch to three inches per year. Some researchers think an average lifespan for a Joshua tree is about 150 years, but some of our largest trees may be much older than that. . . .[7] Many birds, mammals, reptiles, and insects depend on the Joshua tree for food and shelter. Keep your eyes open for the yellow and black flash of a Scotts oriole busy making a nest in a yuccas branches. At the base of rocks, you may find a wood rat nest built with spiny yucca leaves for protection. As evening falls, the desert night lizard begins poking around under the log of a fallen Joshua tree in search of tasty insects. Some comparative adjectives begin with more or less. True False Cobalt 60 is a radioactive source with a half-life of about 5 years. afterhow many years will the activity of a new sample of cobalt 60 bedecreased to 1/8 its original value?* The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude, and study habits of college students. Scores range from 0 to 200 and follow (approximately) a normal distribution with mean 115 and standard deviation =25. You suspect that incoming freshman have a mean which is different from 115 because they are often excited yet anxious about entering college. To test your suspicion, you test the hypotheses H0:=115, Ha:115. You give the SSHA to 25 students who are incoming freshman and find their mean score. Based on this, you reject H0 at significance level =0.01. Which of the following would be most helpful in assessing the practical significance of your results?A. Take another sample and retest just to make sure the results are not due to chance.B. Report the P-value of your test.C. Construct a 99% confidence interval for in order to see the magnitude of the difference between 115 and your sample results.D. Test the hypotheses again, this time using significance level =0.001.(b) In testing hypotheses, if the consequences of rejecting the null hypothesis are very serious, we shouldA. insist that the level of significance be smaller than the P-value.B. use a very small level of significance.C. insist that the P-value be smaller than the level of significance.D. use a very large level of significance.(c) A medical researcher is working on a new treatment for a certain type of cancer. The average survival time after diagnosis on the standard treatment is two years. In an early trial, she tries the new treatment on three subjects who have an average survival time after diagnosis of four years. Although the survival time has doubled, the results are not statistically significant even at the 0.10 significance level. The explanation isA. the calculation was in error. The researchers forgot to include the sample size.B. the sample size is small.C. the placebo effect is present, which limits statistical significance.D. that although the survival time has doubled, in reality the actual increase is really two years.