Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y. (If an answer doesn't exist enter DNE.) f(x, y) = xe−x(1 + y) x ≥ 0 and y ≥ 0 0 otherwise Determine E(XY).

Answers

Answer 1

The value of E(XY) is equivalent or equal to -1 according to the joint pdf having function f(x, y) = xe^−x(1 + y) x ≥ 0 and y ≥ 0 0.

Given that:

f(x,y) = xe^-x(1+y), where x ≥ 0 and y ≥ 0 0.

E(XY) = ∫∞ ∫∞ xy. xe^−x(1 + y) dx dy

            0   0

E(XY) = ∫∞ ∫∞ x^2y . e^−x(1 + y) dx dy

            0   0

 

E(XY) = ∫∞ x^2 . e^−x (∫∞ y e^-xy dy) dx

             0                     0

E(XY) = ∫∞ x^2 . e^−x (-1/x) dx

             0

E(XY) = - ∫∞ x . e^−x dx

               0

E(XY) = - 1

Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y are equal to i.e. E(XY) = -1.

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Related Questions


A book sold 32,100 copies in its first month of release. Suppose this represents 8.2% of the number of copies sold to date. How many copies have
been sold to date?
Round your answer to the nearest whole number.

Answers

Answer:

2,632 copies

Step-by-step explanation:

32100× 0.082= 2632.2

About 2,632

Caculate the simple interest earned on $5000 at 5% for 3.5 years

Answers

Answer:

56.0

Step-by-step explanation:

How to solve 3(1+p)=-5(p+1)

Answers

Step-by-step explanation:

3(1+p)=-5(p+1)

here is your answer

I hope this helpful for u

an individual is teaching a class on excel macros. the individual plans to break the class up into groups of 4 and wants each group to have a different exercise to practice on. write an equation that expresses the situation, let x be the independent variable and y be the dependent variable.

Answers

The required relation between independent and dependent variables is y = x/4.

Explain dependent and independent variables?

A simple method for considering  independent and dependent variables is, the point at which you're leading an examination, the free factor is what you change, and the reliant variable changes hence. You can likewise consider the autonomous variable the reason and the reliant variable as the impact

According to question:

The independent variable x is the total number of students in the class.

And the dependent variable y is number of students in each group.

Therefore,

y = x / 4

Here, when we change the value of x then value of y automatically changed.

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3,635 nearest thousand

Answers

Answer:

4000

Step-by-step explanation:

If we were to take the number 3,635 and round it to the nearest thousand, we can do it like this.

Start with 5. (Ones place)

3,635

5 is rounded to 10.

Now work on the number 4. (Tenths place)

3,640

4 is rounded to 0.

And now we can do the number 6. (Hundreds place)

3600

6 is rounded to 10.

If we look at the number now, it is

4000

3.635 rounded to the nearest thousand is 4000.

3600 because 3 is less than 4 so you need to round down

a population of 10,000 people has an annual growth rate of 6.5%. use the exponential growth equation to determine the size of this population after five years if the growth rate stays the same. the size of the population after five years if the growth rate stays the same is closest to:

Answers

The Total Population after five years will be 13,700 people

What is Compound Interest?

Compound interest is the adding of interest to the principle sum of a loan or deposit, or interest on interest plus interest. It is the outcome of reinvesting interest, or adding it to the lent capital, rather than paying it out or requesting payment from the borrower, so that interest is received on the principle sum plus previously accrued interest in the next month. In finance and economics, compound interest is the norm.

Solution:

To solve the problem mentioned we need to use the concept of compound interest:

Principal = 10,000

Annual Growth Rate = 6.5%

Time = 5 years

Amount = Principal * ((100+Rate)/100)^Time

Total Population after 5 years = 10,000 * (106.5/100)^5

= 10,000 * (1.065)^5

= 10,000 * 1.37008

= 13,700

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how do i do Write the prime factorization of 6. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

Answers

Answer:

2*3

Step-by-step explanation:

divide by smallest number possible

6/2=3

3/3=1

2*3=6

so 2*3

the length of a rectanglar photograph is 7 inches more than the width. if the are is 78 inches squared, what are the dimensions of the photograph

Answers

The dimensions of the photograph are found as 13 in and 6 in.

Explain the term rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides.

Let length = x.

So, width = x - 7

Area = length x width

A = x (x -7)

and A = 78 inches squared.

Thus,

78 = x (x -7)

On solving.

x² - 7x - 78 = 0

Find the factors of the quadratic equation,

x² - 7x - 78 = 0

(x - 13)(x + 6) = 0

Thus,

x = 13 and x = -6 but (x > 0)

Thus, when x = 13 in,

Width = x + 7

Width = 13 - 7

Width = 6 in

Thus, the dimensions of the photograph are found as 13 in and 6 in.

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Suppose that 14 inches of wire costs 84 cents.
At the same rate, how much (in cents) will 37
inches of wire cost?

Answers

Answer: 222 cents

Step-by-step explanation: 84/14 = 6 This is the unit rate.

6 x 37 = 222

The rate is 6 cents, so 6 times 37 is 222 which is $2.22

Write an inequality and use substitution to solve the following problem:
Janet plans on mowing lawns for 12 weeks in the summer. Her goal for the summer is to earn more than $500. Which of the following rates of weekly earning would allow her to reach her goal?

Answers

The rates of weekly earning would allow her to reach her goal will be 12x > 500.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Janet anticipates cutting yards for quite a long time in the late spring. Her objective for the late spring is to acquire more than $500.

Let 'x' be the weekly rate. Then the inequality is written as,

12x > 500

The rates of weekly earning would allow her to reach her goal will be 12x > 500.

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Find the differences between 3,428 and 8,254

Answers

Answer: 4826

Step-by-step explanation: 8254 - 3248 = 4826

4,826 because 8,254-3,428=4,826

the length of a rectangle is four times its width. if the perimeter is at most 130 centimeters, what is the greatest possible value for the width? question 3 options: 2w + 2 • (4w) < 130 2w + 2 • (4w) > 130 2w + 2 • (4w) ≤ 130 2w + 2 • (4w) ≥ 130

Answers

Answer:

Step-by-step explanation:

Let L be the Length and W be the Width of a rectangle.

We are told that:    L = 4W   [the length of a rectangle is four times its width]

Perimeter = 2L + 2W

We learn that P ≤ 130 cm

2L + 2W ≤ 130 cm

Substitute L = 4W:  

2L + 2W ≤ 130 cm

2(4W) + 2W ≤ 130 cm

10W ≤ 130 cm

W ≤ 13 cm

Options:

2w + 2 • (4w) < 130     Not correct since the < sign does not allow for the "at most 130 cm.")

2w + 2 • (4w) > 130      Must be ≤, not >

2w + 2 • (4w) ≤ 130   This option works since the ≤ sign is correct.

HLP PLLSSSSSS!!! TYSM!!!
Solve 2(3m + 1) − 2m = −14.

m = −4
m equals negative 14 over 3
m equals negative 16 over 6
m = −0.06

Answers

Answer:

m = -4

Step-by-step explanation:

2(3m + 1) - 2m = -14

Use distributive property.

6m + 2 - 2m = -14

Combine like terms.

4m + 2 = -14

Subtract 2

4m = -16

Divide by 4.

m = -4

The question is attached on the image below. Help is needed urgently please help!

Answers

You can quickly figure this out by figuring out the values of the intersection on this graph.
The intersection point is (2,5).
A coordinate pair is defined (x, y)
The x-coordinate is 2, the y-coordinate is 5.

x = 2
y = 5

The table shows the proportional relationship between the price for a certain number of buckets of golf balls at a driving range.



Buckets 3 5 7

Price (dollars) 28. 50 47. 50 66. 50



Determine the constant of proportionality.

9. 5

10. 5

18. 25

28. 5

Answers

The constant of proportionality is 9.5.

The correct option is (a)

Given,

In the question:

The proportional relationship between the price for a certain number of buckets of golf balls at a driving range.

Buckets 3 5 7

Price (dollars) 28. 50 47. 50 66. 50

To determine the constant of proportionality.

Now, According to the question:

We know that:

Proportional relationship equation:

y = kx, where k-constant of proportionality

In the given table, number of buckets represent input values (x) and the price represents output values (y).

We have for the first column:

x = 3, y = 28.50

Find the value of k by plugging in the values of x and y:

28.50 = 3k

k = 28.50/3

k = 9.5

The options are:

a) 9. 5

b) 10. 5

c) 18. 25

d) 28. 5

Hence, The constant of proportionality is 9.5.

So, The correct option is (a).

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a frog starts at location a and wants to get to location b that is 500 meters away. starting at a, it sits at a given spot on the path from a to b for a time that is exponen- tially distributed with parameter 1 (minute). after that, it jumps 1 meter towards b, sits in the new spot for an exponentially distributed time, etc. all the times are independent. what is the probability (approximately) that it will get to b within 7 hours?

Answers

The probability that it will get to b within 7 hours is approximately 0.014.

Probability:

In math, the favorable way of happening the event is known as probability.

Given,

A frog starts at location a and wants to get to location b that is 500 meters away. starting at a, it sits at a given spot on the path from a to b for a time that is exponentially distributed with parameter 1 (minute). after that, it jumps 1 meter towards b, sits in the new spot for an exponentially distributed time, etc. all the times are independent.

Here we need to find the the probability (approximately) that it will get to b within 7 hours.

While we looking at the given question we have identified that,

starting point = a

ending point = b ( 500 meters)

Time take for one jump = 1 minute

Distance covered in one jump = 1 meter.

Here they also said that the time is independent but the distance remains constant.

So, the probability that it will get to b within 7 hours is calculated as,

=> 7/500

=> 0.014

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ohnny is a sophomore in college and has a 1.5 cumulative grade point average (gpa). johnny's cumulative gpa will fall even further next semester if he performs worse than (i) his cumulative gpa. (ii) he ever performed before. (iii) he did last semester.

Answers

The value of the solution is B i.e., his cumulative gpa (i), he ever performed before (ii)

What do you mean by statistics?

The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.

What are types of statistics?

The two types of statistics are: Descriptive and inferential.

With the alternatives available, Johnny can only do worse if his performance falls short of both his lifetime GPA and his previous best performance. It's possible that the last scenario, in which Johnny performed worse than last semester, won't necessarily have an impact on his GPA. A cumulative GPA represents Johnny's overall GPA since he first began attending school. Considering that his most recent semester may have been one of his best and had a solid outcome, earning a result somewhat below that of his previous semester may not necessarily result in a drop in his cumulative GPA. Therefore, choice B is right.

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Which set of ordered pairs represents a function?
O {(-6,-4), (2, -1), (-6, 0), (-9, 8)}
O {(7,-7), (8,9), (7, 7), (-4,9)}
O {(-4,-1), (-6, -7), (7,6), (-8,6)}
O {(8,-8), (2, -7), (9,-4), (8,-5)}
Submit Answer

Answers

Answer:Answer:

D.

{(-9,8), (-5,-8), (-7,8), (-6,-8)}

Step-by-step explanation:


The graph of a linear function is shown on the grid.
#6. Find the slope

#7. Find the y-intercept:
#8. Equation: y=

Answers

The slope and y-intercept of the given linear equation are [tex]-\frac{5}{4}[/tex] and [tex]5[/tex] respectively. The equation of the given graph is [tex]y=-\frac{5}{4} x+5[/tex]

What is the Slope of a graph?

The ratio of rise to run is known as a line's slope.When given a line's graph and asked to determine its equation, the first step is to determine the slope.The slope formula is used in the procedure for determining the slope from a graph.If there are two points [tex](x_{1} , y_{1} )[/tex] and [tex](x_{2} , y_{2} )[/tex] on the line, then the equation for the slope (m) is given as, [tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

What is a y-intercept?

The location where a graph crosses the y-axis is known as the y-intercept (c). Or to put it another way, it is the value of y when x=0.

Here, from the graph, we can find a line passing through the two points, [tex](4,0)[/tex] and [tex](0,5)[/tex].

The equation for the slope formula is given as, [tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Using the slope formula, we get the slope of the given graph as,

[tex]m=\frac{ 5-0 }{0-4 }\\\implies m=-\frac{5}{4}[/tex]

The y-intercept (c) is the value of y when x equals zero.

The line is passing through the point [tex](0,5)[/tex]

Here, the value of x is equal to 0 and the value of y is equal to 5.

So, the y-intercept of the given graph, [tex]c=5[/tex]

We know that the equation of a straight line is expressed as, [tex]y=mx+c[/tex]

Substituting the values of m and c in the straight line equation form, we get the equation of the given line as,

[tex]y=-\frac{5}{4} x+5[/tex]

Therefore, the slope of the given graph, [tex]m=-\frac{5}{4}[/tex] and the y-intercept, [tex]c=5[/tex].

Also, the equation of the given line is [tex]y=-\frac{5}{4} x+5[/tex]

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Azlyn had $25. She went to lunch and spent $15 what percentage of her money did Azlyn spend on lunch

Answers

Answer: 60%

Step-by-step explanation:

15 divided by 25 = 0.6

0.6 x 100 = 60%

:)

The following information was collected from a simple random sample of a population. 9 13 15 15 21 24 The point estimate of the population standard deviation is Select one: O a. 59.1. O b. 7.688. O C. 7.018. O d. 49.25.

Answers

The point estimate of the population standard deviation is 5.91 (Option A)

Standard deviation refers to the spread of a data distribution and measures the distance between each data point and the mean. The sample standard deviation (s) is a point estimate of the population standard deviation σ.

The mean of the population ẋ = sum of all values/ total number of values = 97/6 ≈ 16

The point estimate of the population standard deviation S =√(∑(xi - ẋ)^2/n-1)

∑(xi - µ)^2 = (9 – 16)^2 + (13– 16)^2 + (15– 16)^2 + (15– 16)^2 + (21– 16)^2 + (24– 16)^2 = 79 + 9 + 1 + 1 + 25 + 64 = 179

s = √(179/5) = 5.98

Note: The question is incomplete. The complete question probably is: The following information was collected from a simple random sample of a population. 9 13 15 15 21 24 The point estimate of the population standard deviation is Select one: O a. 5.91. O b. 7.688. O C. 7.018. O d. 4.925.

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The interior angles formed by the sides of a hexagon have measures that sum to 720°.

What is the measure of angle F?

Enter your answer in the box.

​m∠F=​

Answers

Answer:

Step-by-step explanation:

(x-60)+(x-20)+(x-40)+130+120+110=720

3X -120 + 360=720

3x +240= 720

3x= 720-240

3x=480

x= 480/3 = 160

x=160

angle F = (x-20)

angle F = 160-20=140

angle F = 140

Enter an equation of the line (in slope-intercept form) that passes through the point (20, −7) and is perpendicular to the line y = −5x + 9. Express any numeric values as integers or simplified fractions.

Answers

Answer:

  y = 1/5x -11

Step-by-step explanation:

You want the slope-intercept equation of the line perpendicular to y=-5x+9 that goes through the point (20, -7).

Slope-intercept form

The slope-intercept form of the equation for a line is ...

  y = mx +b . . . . . . . . where m is the slope and b is the y-intercept

This can be solved to find the y-intercept from a point on the line:

  b = y -mx

Comparing this form to the given equation, you see the given line has a slope of m = -5.

Perpendicular line

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line:

  slope = -1/(-5) = 1/5

Y-intercept

The y-intercept of the desired line can be found using the equation for b above. The y-intercept of the line with slope 1/5 through point (x, y) = (20, -7) is ...

  b = y -mx = (-7) -1/5(20) = -7 -4

  b = -11

Now, we have the slope and intercept of the desired line, so we can write its equation:

  y = 1/5x -11

Please help me with this 2 problems

Answers

[9] Answer: x = 4

Step-by-step explanation:

     Both of these problems use triangle's exterior angles. We will set up an equation and solve. The two opposite angles are equal to opposite exterior angle. After writing our equation, we will solve and isolate the variable using inverse operations.

     17x + 1 + 18x + 3 = 144

     35x + 4 = 144

     35x = 140

     x = 4

[10] Answer: x = 3

Step-by-step explanation:

     Both of these problems use triangle's exterior angles. We will set up an equation and solve. The two opposite angles are equal to opposite exterior angle. After writing our equation, we will solve and isolate the variable using inverse operations.

     20x + 23x + 1 = 130

     43x + 1 = 130

     43x = 129

    x = 3

The first one is x = 4
The second is x = 3

The vertices of a rectangle are located at the coordinates (1, 4), (1, 5), (6, 5), and (6, 4).

Find the length of the sides of the rectangle and its perimeter.

Answers

Check the picture below.

I don’t understand this question , it’s so confusing

Answers

the first row is 12+28=40
the second row is 18+12=30

need help working this problem
Find the missing angle values

Answers

a) ∠a = 35

b) ∠b = 40

c) ∠c = 35

d) ∠d = 70

e) When we add all the angles together we get an angle of 360°.

What is meant by an angle?

In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

Given, ∠b =  40  

∠d = 70

∠1 = ∠ a

∠2 = ∠c

∠1 = ∠2

So, ∠1 =∠2 = ∠a = ∠c

70 + 40 + ∠a + ∠2 = 180

110 + 2∠a = 180            

2∠a = 180 - 110

∠a = 70/2

∠a = 35

∠1 =∠2 = ∠a = ∠c = 35

When we add all the angles together we get an angle of 360°

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what is the probability of these events when we randomly select a permutation of {1, 2, 3, 4}? a) 1 precedes 4. b) 4 precedes 1. c) 4 precedes 1 and 4 precedes 2. d) 4 precedes 1, 4 precedes 2, and 4 precedes 3. e) 4 precedes 3 and 2 precedes 1.

Answers

The probability that these events when we randomly select a permutation is  24, 1/2, 1/2, 1/3, 1/4, 1/4

What is a probability simple definition?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.

What is the probability formula?

P(A) = n(A)/n (S)

The probability of an event "A" is P(A). The number of successful outcomes is n(A). The total number of events in the sample space is denoted by n(S).

1)  From the set we can select 4*3*2*1=24 permutations.

2) There are six permutations that begin with 1, three that begin with 2, three that begin with 3, and no permutations that begin with 4 when 1 comes before 4. So, P1 ={ 6+3+3+0}/{24} = 1/2

3) No permutations begin with 1, three permutations begin with 2, three permutations begin with 3, and six permutations begin with 4, where 4 comes before 1. P2=1/2 

4) There are no permutations that begin with 1, no permutations that begin with 2, no permutations that begin with 2, no permutations that begin with 3, and six permutations that begin with 4, where 4 comes before both 1 and 2. Therefore, P 3 = 1/3

​5) No permutations begin with 1, no permutations begin with 2, no permutations begin with 3, and there are six permutations that begin with 4, where 4 comes before 1, 2, and 3. So, P4= 1/4

​6) There are no combinations that begin with 1, three combinations that begin with 2, no combinations that begin with 3, and three combinations that begin with 4, where 4 comes before 3 and 2 comes before 1. So, P5= 1/4

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when determining the pooled population variance estimate for a t test for independent means with unequal sample sizes,: group of answer choices the variance of both of the original populations must be known (as opposed to estimated) the scores from both samples are combined to form a single sample, and the estimated variance is figured in the usual way, but using this combined sample the estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants the variance of at least one of the original populations must be known (as opposed to estimated), but the other can be estimated from sample scores

Answers

The estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.

What is population variance?

Each data point's distance from the population mean is quantified by the population variance, which is a measure of dispersion. The average of the squares of the deviations from the data's mean value is known as population variance.

Hence, when determining the pooled population variance estimate for a t test for independent means with unequal sample sizes, the estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.

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a multiple regression model has . select one: a. more than one dependent variable b. only one independent variable c. at least two dependent variables d. more than one independent variable

Answers

The multiple regression model represented by y = a₀ + a₁x + a₂x + ... has  one independent variable.

Explanation:

Simple or linear regression model represents one dependent and one independent variable.Multiple regression model represents one dependent and more than one independent variable.Simple regression model represent by y = mx + b , here y is dependent variable where as 'x' independent variable.Multiple regression model represented by y = a₀ + a₁x + a₂x + ... Multiple regression model is expanded form of linear regression model where more than one independent variables are included.

Therefore, the multiple regression model has more than one independent variable that is option d.

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a client has a decreased secretion of erythropoietin from the kidneys due to end-stage kidney disease. the nurse explains that the decrease in erythropoietin will have what effect? Solve each of the following equations using the Principle of Zero Products and match it to its correct pair of solutions on theright. Each pair on the right will be used once.(x-9)(3x + 4) = 0(x-4) (9x + 1) = 0(x+9)(3x-4)= 0(x+4)(9x-1)=0x = -4 or x =x = -9 or x =x = 9 or x = -x = 4 or x=-1 a nurse is caring for a client who uses a hearing aid for amplifying sound. during the rinne test for checking the bone conduction of the sound, where should the nurse place the stem of the vibrating tuning fork? anthropologist oyeronke oyewumi holds a postmodern view of gender. she reports that the yoruban society of west africa was a genderless society prior to the arrival of western researchers, if that is indeed the case, why did the researchers find evidence of a gender system upon their arrival? calculate the pressure due to the ocean, in atmospheres, at the bottom of this trench. given that its depth is 11.0 km and assuming the density of seawater is a constant 1.025 x 103 kg/m? all the way down according to einsteins second postulate, if you are moving 10.0 m/s on a bike with headlight on, what is the speed of the light from the bike? Why should you include both reasons and evidence in a literary analysis? A. Readers will need both before deciding whether to accept your interpretation. B. Evidence is meaningless without reasons to back it up. C. Evidence and reasons make it appear as if you have researched your topic. D. Readers will expect your literary analysis to look just like other such essays. An atom has three protons and one neutron in its nucleus. How many electrons will it have; if it is a stable atom? How do you know?When you combine vinegar and baking soda, a gas is produced. Why is the gas considered evidence that a chemical reaction occurred?How can you use a graduated cylinder, water, and an electronic balance to find the density of water?Please answer all 3:) a nurse has decided to specialize in the care of the aging individuals in both illness and health. what is the term for this nursing specialty? signs that use blue, white and red colors and have the interstate number located on the middle of the sign are: a) regulatory signs b) warning signs c) guide signs d) interstate signs mauro and his wife just found out that their infant has a birth defect in his heart that will require heart surgery. which of the following is the best label for the heart defect? ten points labeled a, b, c, d, e, f, g, h, i, j are arranged in a plane in such a way that no three lie on the same straight line. (a) how many straight lines are determined by the ten points? a 64 kg person rides in an elevator. if the elevator has a downward acceleration of 3.0 , what is the magnitude of the force of the person on the elevator floor? Name a consumer good in each of the following categories that were produced in the 1920s. (You will write four responses) a rise in fundamentalism is often seen when group of answer choices things are stable there are many changes in society there is peacetime people are in rural settings One of the shows signs of a country that is not free is that the people in power will not __________ any criticism of their acts. which field of an x.509v3 certificate specifies where the certificate revocation list (crl) for the ca is found at? be specific. the drawing shows three ac circuits: one contains a resistor, one a capacitor, and one an inductor. the frequency of each ac generator is reduced to one-half its initial value. which circuit experiences the greatest increase in current? the number of complex numbers z such that |z 1| = |z + 1| = |z i| equals State the area of the given triangle.ResponsesA 20 square meters20 square metersB 16 square meters16 square metersC 40 square meters40 square metersD 8 square meters