Let the random variable Z follow a standard normal distribution. Find the value u , such that P(−0.62

Answers

Answer 1

We know, standard normal distribution is given by Z~N(0, 1) => σ=1Now, P(-0.62 P(Z P(u P(Z P(u) = 0.7392

Given, Random variable Z follows standard normal distribution. To find the value of u such that P(−0.62-0.62)Now, we will find the Z value for -0.62 using standard normal table as follows:-We get the value of P(Z<-0.62) as 0.2676Now, P(Z>-0.62)=1-P(Z<-0.62)=1-0.2676=0.7324Now, P(-Z<0.62)=P(Z<0.62)=0.7324We know, 0.62 lies between u=0 and u', we can find u' using standard normal table as follows:-From the standard normal table, we get that P(Z<0.62)=0.7315P(Z<0)=0.5Now, Z follows standard normal distribution, Z~N(0, 1) => 0.62=(u'-0)/1 => u'=0.62To find the value of u, let's use the formula Z = (X - μ) / σ where X is the observation, μ is the mean and σ is the standard deviation. We know, standard normal distribution is given by Z~N(0, 1) => σ=1Now, P(-0.62 P(Z P(u P(Z P(u) = 0.7392Now, using standard normal table, we get the value of Z when P(Z

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Related Questions

cory and quentin went bowling on friday night corey has his own bowling shoes but quentin had to rent his at the alley shoes rent for a flat fee of $4 plus $2 per hour the equation y=2x+4 describes the cost of renting the shoes if quentin only had $11 how many hours can he rent the bowling shoes.

Answers

Therefore , the solution of the given problem of equation comes out to be he can hire the shoes for three hours with his meagre $11 budget.

Equation : What is it?

Complex algorithms frequently employ a variable term to guarantee congruence with the two opposing assertions. Equations, which are academic expressions, are used to demonstrate the equality of different academic figures. In this instance, the normalise method provides b + 6 rather than merely expression separating 12 into two pieces for using the data from y + 6.

Here,

To begin, we can construct an expression to symbolise the circumstance:

=> y = 2x + 4

where x represents the number of hours that Quentin rents the shoes for and y represents the overall cost of the rental.

We can put y equal to 11 because we know that Quentin only has $11 to spend:

=> 11 = 2x + 4

We can now determine x:

=> 2x = 11 - 4

=> 2x = 7

=> x = 7/2

Quentin can therefore spend $11 to hire the shoes for 3.5 hours (7/2 hours).

He would have to pay either $10 or $12 to hire the shoes for either three or four hours. He can hire the shoes for three hours with his meagre $11 budget.

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Solve for x to make A||B.
B
3x
A
X =
?
7x
Enter

Answers

Answer:

x = 18

Step-by-step explanation:

the angle vertically opposite 7x is 7x

making 3x and 7x same- side interior angles summing to 180° , that is

3x + 7x = 180

10x = 180 ( divide both sides by 10 )

x = 18

for A and B to be parallel then x = 18

A person invested $ 790 in an account growing at a rate allowing the money to double

every 13 years. How much money would be in the account after 30 years, to the

nearest dollar?

Answer:

Submit Answer

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Answers

A doubling equation in exponential growth can be used to solve the question. The amount after 30 years will be $3911.22

The growth rate is governed by exponential equation. Doubling equation means to the time needed to make the initial amount double. If the number of years and doubling time given, then the doubling equation is,

 P = P₀[tex](2)^{t/d}[/tex]

P is the final amount

P₀ is the initial amount

t is the time in years

d is the doubling time

P₀ = 790  t= 30  d= 13

P = 790 [tex](2)^{30/13}[/tex]

  = 3911.21506157

So the amount after 30 years will be $3911.22

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solve 6x^2+1≥5x graphically

Answers

Answer:

[tex]x \leq \frac{1}{3}[/tex] or [tex]x \geq \frac{1}{2}[/tex]

Answer:

Below

Step-by-step explanation:

From the graph below you can see that

x < = .33 3   and   x >= .5

combined

  .333  ≥  x  ≥  .5

Please I need help with quiz corrections should be easy if you are good at geometry!!

Answers

A right triangle, also known as a right-angled triangle, is a triangle that has one angle measuring 90 degrees.

What is a right angle triangle?

Right triangles have some unique properties that make them useful in various applications, such as in geometry and trigonometry. For example, the Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

We know that;

Tan 45 = 14/x

x = 14

Sin 45 = 14/y

y = 20

Again;

Tan 60 = 16√3/x

x = 16√3 * 1/√3

x = 16

Sin 60 = 16√3/y

y =  16√3 ^ 2/√3

y = 32

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Express sin A as a fraction in simplest terms.

Answers

Answer:

7/25

Step-by-step explanation:

Sin = [tex]\frac{opposite}{Hypotenuse}[/tex]

Hypotenuse = 50

Adjacent = 48

Pythagorean Theorem: a² + b² = c²

48² + b² = 50²

2304 + b² = 2500

b² = 196

b = 14

Opposite = 14

Sin A = 14/50 = 7/25

point) Use the quadratic formula to solve thequadratic equation2x²−3x−5=0Solutions (separate by commas): x=

Answers

The solution to the quadratic equation 2x²−3x−5=0 are x=5/2 or x=-1/2

The quadratic formula can be used to solve the quadratic equation 2x²−3x−5=0. Here’s how to do it:

First, identify the coefficients of the equation. In this case, a=2, b=-3, and c=-5.

Next, plug these values into the quadratic formula: x = (-b ± √(b²-4ac)) / 2a,Substitute the values in the equation: x = (-(-3) ± √((-3)²-4(2)(-5))) / 2(2)


Simplify the equation to get:x = (3 ± √(9+40)) / 4,

x = (3 ± √49) / 4
x = (3 + 7) / 4 or x = (3 - 7) / 4
x = 5/2 or x = -1/2



In summary, the quadratic formula can be used to solve quadratic equations with ease. It is important to know the values of the coefficients of the equation and substitute them into the quadratic formula. The formula will simplify the equation and give the solutions.

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the population of a community is known to increase at a rate proportional to the number of people present at time t. if an initial population p0 has doubled in 4 years, how long will it take to triple? (round your answer to one decimal place.) 4.8 incorrect: your answer is incorrect. yr how long will it take to quadruple? (round your answer to one decimal place.)

Answers

The population will take around 6.9 years to triple and 9.2 years to quadruple.

Let P(t) be the population at time t. According to the problem, the rate of increase of the population is proportional to the population itself, which means: dP/dt = kP

where k is the proportionality constant. This is a separable differential equation that can be solved by separating the variables and integrating both sides:

∫ dP/P = ∫ k dt

ln|P| = kt + C

where C is the constant of integration. Applying the initial condition that the population doubles in 4 years, we get:

ln|2p0| = k(4) + C

ln|p0| + ln|2| = 4k + C

ln|p0| + ln|2| - 4k = C

Substituting C into the previous equation and using it for the new population level, we get:

ln|3p0| = kt + ln|p0| + ln|2| - 4k

ln|3p0|/|p0| = kt - 4k + ln|2|

ln|3/2| = (k/ln2)t - 4k/ln2

ln|3/2|/(k/ln2) = t - 4/ln2

t = ln|3/2|/(k/ln2) + 4/ln2

Therefore, it will take approximately 6.9 years for the population to triple and 9.2 years to quadruple.

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Write an equation of the line that passes through the points. 13. (2,5), (0,5) 14. (-3,0), (0,0) 15. (0,-2), (4,-2)

Answers

The line that goes through the points (0, -2) and (4, -2) can be represented by the equation y = (-1/2)x - 2.

Since both points have the same y-coordinate of 5, the line must be a horizontal line passing through y = 5. Therefore, the equation of the line is y = 5.

Since both points have the same y-coordinate of 0, the line must also be a horizontal line passing through y = 0. Therefore, the equation of the line is y = 0.

The slope of the line passing through the two points can be found using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the given values, we get:

m = (-2 - 0) / (4 - 0) = -1/2

Using the point-slope form of the equation of a line, we can write the equation of the line as:

y - y₁ = m(x - x₁)

Substituting one of the given points, such as (0, -2), we get:

y - (-2) = (-1/2)(x - 0)

Simplifying, we get:

y + 2 = (-1/2)x

Therefore, the equation of the line passing through the points (0, -2) and (4, -2) is y = (-1/2)x - 2.

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Please ASAP Help
Will mark brainlest due at 12:00​

Answers

Answer:

12 units

Step-by-step explanation:

12 units is the answer

In a sequence of numbers, a4=12, a5=14, a6=16, a7=18, and a8=20.


Which equation can be used to find the nth term of the sequence, an?



an=2n+12


an=3n+12


an=3n


an=2n+4

Answers

The correct equation to find the nth term of the given sequence is an=2n+12, which can be demonstrated by calculating the 4th to 8th terms and verifying that they match the given values.

The formula an=2n+12 can be used to find the nth term of the sequence. This formula states that the nth term is equal to twice the value of n (2n) plus 12 (2n + 12). To demonstrate, for the 4th term of the sequence (a4), we can use the formula and calculate a4 = 2(4) + 12 = 20, which is equal to the given value of a4 = 12. Similarly, we can calculate the other values of the sequence using the same formula: a5 = 2(5) + 12 = 22 (which is equal to the given value of a5 = 14), a6 = 2(6) + 12 = 24 (which is equal to the given value of a6 = 16), a7 = 2(7) + 12 = 26 (which is equal to the given value of a7 = 18), and a8 = 2(8) + 12 = 28 (which is equal to the given value of a8 = 20). Therefore, we can conclude that an=2n+12 is the correct equation to find the nth term of the sequence.

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i have to use the information given to create an equation then create a table to find points to graph the expressions.

Answers

Answer:

A)  Missing Table Values.  See the attached worksheet

B)  The car will be worth less than $8,000 in 9.8 years

Step-by-step explanation:

Part B:  Years until car is less than $8,000

 The new $25,000 car depreciates by 11% each year.  Expressed another way, it retains 89% of its value each year.  The value, y, after x years can be calculated from:

                                 y = ($25,000)*(0.89)^x

This function is graphed on the attached worksheet.  The line intersets the $800 on the y axis at 9.8 years.  The car will be worth less than $8,000 after 9.8 years.

One can also calculate the value of x:

                            $,8000 = ($25,000)*(0.89)^x

        x = 9.77, mathematically

Part A:  Table of values

See the attached worksheet.  The values are not exactly a straight line, but come close to f(x) = 8x+50, from which the missing values may be calculated.  Legally, however, this is a slightly more complex line, for which I'm unclear about the best approach for its derivation.

 

Yall PLease help with this one.

Answers

Answer:

i think 4<6

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

5j543nn al

PLEASE SHOW WORK!!!!!!!!!

Answers

1) The equal expressions are I and III

2) The value of the expression is 3 41/80

What is an absolute value expression?

An absolute value expression is a mathematical expression that represents the distance of a number from zero, regardless of the sign of the number. The absolute value of a number is always positive, so an absolute value expression represents a positive number or zero.

The absolute value of a number x is denoted by |x| and is defined as follows:

|x| = x, if x is positive or zero

|x| = -x, if x is negative

Since -/x/ = -x then this are the equal expressions.

[tex]a^2/a + 1 + a + 1/a^2[/tex]

Then;

[tex]4^2/4 + 1 + 4 +1/4^2[/tex]

16/5 + 5/16

= 3 41/80

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The answer to the question please

Answers

Answer:

2/9

Step-by-step explanation:

Answer:2/9

Step-by-step explanation:

Find the next term in the series.
240, 332, 118, 168, 57, 86, ? ,45

Answers

Answer:

32 or 24 or 13 or 21

Step-by-step explanation:    

332-240=92

168-118 = 50

86-57 = 29

45-13= 32

or

45-21= 24

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if the faces are both heads, you win $2; if one shows a head and the other a tail, you lose $1.a) Give the probability distribution for X=your winnings on a single play of this game.b) What are your expected winnings?c) Suppose you change the rules so that if both coins are heads you win $100; if both coins are tails you win $5; if the coins do not match, you lose $52. What are your expected winnings?d) Find Var(X) for both games.e) Which game would you rather play? (Use the variance to help make this decision).

Answers

According to the probability distribution, you should rather play the second game than the first one.

a) The probability distribution for your winnings on a single play of this game is given by:

P(X=1) = 1/4

P(X=2) = 1/4

P(X=-1) = 1/2

b) Your expected winnings in this game is 0, since the expected value of X = 1*(1/4) + 2*(1/4) - 1*(1/2) = 0.

c) The probability distribution for your winnings in this game is given by:

P(X=100) = 1/4

P(X=5) = 1/4

P(X=-52) = 1/2

d) Your expected winnings in this game is 22, since the expected value of X = 100*(1/4) + 5*(1/4) - 52*(1/2) = 22.

e) The variance of X for the first game is

Var(X) = (1-0)2*(1/4) + (2-0)2*(1/4) + (-1-0)2*(1/2) = 0.75.

The variance of X for the second game is Var(X) = (100-22)2*(1/4) + (5-22)2*(1/4) + (-52-22)2*(1/2) = 1344.5.

You would rather play the second game, since its variance is much larger, which means there is a greater potential for large gains.  

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What are the domain and range for the function f(x)=2x?

Answers

The domain and range for the function f(x) = 2x include the following:

Domain = (-∞, ∞).

Range = (-∞, ∞).

What is a domain?

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = {-∞, ∞} or {x|x ∈ R}.

Range = {-∞, ∞} or {y|y ∈ R}.

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A _______ is an educated guess based on patterns in data figures
A. deductive
B. inductive
C. postulate
D. conjecture
E. counter example
F. converse

Answers

Answer:

B. inductive

Step-by-step explanation:

An inductive reasoning process involves making a generalization based on specific observations. In the case of the given question, the statement is: "A _______ is an educated guess based on patterns in data figures."

To use inductive reasoning to find the answer, we can follow these steps:

Look for patterns in the data figures. Identify the commonalities between different examples of educated guesses.

Based on these patterns, make an initial generalization about what the blank might be. For example, if we notice that all educated guesses involve making a prediction based on previous observations, we might guess that the missing word is "conjecture."

Test the generalization by looking at additional examples. Do these examples fit the pattern we identified earlier? If so, our initial guess might be correct. If not, we might need to revise our generalization or consider other options.

Continue testing and refining the generalization until we feel confident that it accurately describes the relationship between the given words.

In this case, using inductive reasoning, we can make an educated guess that the missing word is "conjecture," as it fits the pattern of being an educated guess based on patterns in data figures.

Help me plsssssssssssssssssssss

Answers

The answer is 157 degrees

Answer:

157°

Step-by-step explanation:

We can see that the angle here is an alternate angle, this means it is an opposite angle that has the same value as each other.

Knowing this, we can see that if the angles are alternated the missing angle should be 157 as well.

Hope this helps have a lovely day! :)

There’s a spinner with 12 equal areas numbered one through 12 if the spinner is one one time what is the probability that the result is a multiple of five and a multiple of two

Answers

The probability that the result is a multiple of five and a multiple of two is 1/3, since there are only three multiples of five and two that can be produced on the spinner: 10, 6, and 2.

The spinner has 12 equal areas, numbered one through 12. The probability of getting a multiple of five and a multiple of two on one spin is 1/3, since there are only three multiples of five and two that can be produced: 10, 6, and 2. To calculate this probability, we need to look at the total number of possible outcomes and divide it by the number of outcomes that are multiples of five and a multiple of two. In this case, the total number of outcomes would be 12, and the number of outcomes that are multiples of five and a multiple of two is three (10, 6, and 2). Dividing 12 by 3 gives us the probability of 1/3.

Total number of outcomes = 12

Number of outcomes that are multiples of five and two = 3 (10, 6, and 2)

Probability = 3/12 = 1/3

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What is the most specific category this shape can be sorted into?

A Venn diagram titled Triangles. Inside the diagram are circles, there is one labeled Scalene and one labeled Isosceles. Inside the Isosceles circle is another circle labeled Equilateral. Below the diagram is a triangle with a single tick mark on each side.

Equilateral
Isosceles
Scalene
Triangle

Answers

Therefore, the most specific category this shape can be sorted into is "Triangle."

What would you say about a triangle?

3 sides, 3 angles, and 3 vertices make up a closed triangle. It has only two dimensions. Triangles are a part of polygons as well.

The most specific category this shape can be sorted into is "Triangle."

In the given Venn diagram, the category "Triangle" represents the overall group of all types of triangles, which includes "Equilateral," "Isosceles," and "Scalene" triangles.

The triangle with a single tick mark on each side may represent any type of triangle that is not necessarily equilateral, isosceles, or scalene, but it is still a triangle.

Therefore, the most specific category this shape can be sorted into is "Triangle."

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Is enough information given to prove that GHF =KHJ using the SAS Congruence Theorem? yes no If yes, complete the two-column proof. If no, complete only the last line with an explanation of why no

Answers

No, because the SAS Congruence Theorem requires two pairs of congruent sides and one congruent angle.

No, because the SAS Congruence Theorem requires two pairs of congruent sides and one congruent angle. To use the SAS Congruence Theorem to prove that GHF =KHJ, it would be necessary to have information about the lengths of the corresponding sides and the measure of the included angle in each triangle. Without this information, it is not possible to prove that GHF =KHJ using the SAS Congruence Theorem. To prove that GHF =KHJ using this theorem, it would be necessary to show that the two sides GK and KH are congruent, the two sides HF and HJ are congruent, and the included angle GHF is congruent to the included angle KHJ.

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The equations of four lines are given. Identify which lines are parallel.
Line 1:
y = 8x - 3
Line 2: y-6=(x-4)
Line 3:
Line 4:
y = 3x + 4
1
x - 3y = -4
O All four lines are parallel.
O Lines 3 and 4 are parallel.
O Lines 1 and 3 are parallel.
O Lines 2 and 3 are parallel.

Answers

For the given equations, using slope formula option B: Lines 3 and 4 are parallel, is the correct option.

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

The four different equations are given.

To identify parallel lines, we need to compare their slopes.

If two lines have the same slope, they are parallel.

Line 1 is in slope-intercept form (y = mx + b) where the slope is m = 8.

Line 2 is in point-slope form (y - y1 = m(x - x1)) where the slope is m = 1/8.

Line 3 is in slope-intercept form where the slope is m = 3.

Line 4 is in slope-intercept form where the slope is m = 1/3.

Comparing the slopes, we see that -

Lines 1 and 2 have different slopes, so they are not parallel.

Lines 1 and 3 have different slopes, so they are not parallel.

Lines 1 and 4 have different slopes, so they are not parallel.

Lines 2 and 3 have different slopes, so they are not parallel.

Lines 2 and 4 have different slopes, so they are not parallel.

Lines 3 and 4 have the same slope (m = 3), so they are parallel.

Therefore, lines 3 and 4 are parallel.

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Look at this table:
Write a linear (y=mx+b), quadratic (y=ax2), or exponential (y=a(b)x) function that models the data.
x y

1 1
0 3
1 9
2 27
3 81

Answers

We may state with confidence that the exponential function y = [tex]3(3^{x} )[/tex]models the provided data because both of these values agree with the data.

How is exponential function determined?

Since the output values (y) increase by a factor of three every time the input value (x) increases by one, the data demonstrate exponential growth. As a result, we can use an exponential function of the form y = a(b)x to represent this data.

We can utilise the first two data points to determine the values of a and b.

With y = 3 and x = 0, we get:

3 = [tex]a(b^{0} )[/tex]

3 = a

With x=1 and y=9, we get:

9 = [tex]a(b^{x} )[/tex]

b = 3

Hence, y = [tex]3(3^{x} )[/tex] is the exponential function that represents the data.

We may substitute the other input values and compare them to the appropriate output values to validate this model:

If x = 2, then y = [tex]3(3^{2} )[/tex] = 27.

If x = 3, then y = [tex]3(3^{3} )[/tex] = 81.

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Write the following as a radical expression.
7^{\frac{7}{8}}

Answers

Answer: $\sqrt[8]{7^7}$

Step-by-step explanation:

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The computer lab at school has a new computer system. The system had a total cost of $1895. There is a special printer that can be added to the system. The printer can be purchased separately for $649. Writ an equation and solve to determine the cost of the system with the printer.

Answers

The answer for this question is $246 subtract $1895-$246 and you get $1649

work out the value of 7a - 7b
when a-b=5

Answers

Answer:

35

Step-by-step explanation:

Simplification :

7(a-b) as 7 is common
as we know a-b is 5 ,

7 * 5 = 35 in the answer.

Please mark me as the brainliest TQ!

Answer: 35

Step-by-step explanation:

7a - 7b

= 7(a-b)

= 7(5)

= 35

Find the slope of the line that contains the points (10, 0) and (-20, -18)

Answers

The slope of the line that contains the points (10, 0) and (-20, -18) is: slope = (change in y)/(change in x) = 3/5.

The slope of a line is the measure of its steepness, and it's found by dividing the change in the y-coordinates by the change in the x-coordinates between two points on the line. In this case, the slope of the line that passes through the points (10, 0) and (-20, -18) can be calculated as follows:

slope = (change in y-coordinates) / (change in x-coordinates)

slope = (-18 - 0) / (-20 - 10)

slope = -18 / -30

slope = 3/5

Therefore, the slope of the line is 3/5.

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It’s the average distance to the ____ also measures how far is the data spread apart in the population.
*

Answers

It’s the average distance to the Mean also measures how far is the data spread apart in the population.

What is Population?

In statistics, a population refers to the entire group or set of individuals, objects, or events that share a common characteristic or feature. The population can be any size, from a small group of people to an entire country or even the whole world.

In order to make statistical inferences about a population, it is often not practical or feasible to study the entire population. Instead, researchers typically take a sample from the population, which is a smaller subset of the population, and use the sample data to make predictions or draw conclusions about the population as a whole.

The average distance to the mean (or average) also measures how far the data is spread apart in the population.

This is commonly known as the standard deviation, which is a measure of the amount of variation or dispersion in a set of data values. A larger standard deviation indicates a greater amount of variability or spread in the data, while a smaller standard deviation indicates that the data points are closer to the mean.

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Describe indian festivals in french HELP PLEASE ASAP!!!!Triangle PQR with coordinates P(-3,4). Q(-6,1), and R(-6,6) is reflected over the x-axis. List the coordinates of the new image The radius of circle B is 4 centimeters and the circumference ofCircle A is 30 picentimeters. Find CD. Iodine- 131 Is a radioactive isotope, and is often used in certain medical treatments. It has a short half life of about 8 days. It a hospital has a 1050 mg sample of its available, how much would be absolute after 72 days patients with bilateral amygdala damage generally do not exhibit signs of fear to normally fear provoking stimuli. however, it has been demonstrated that there are other fear circuits because these individuals show fear when? consider the following statement made by a student regarding a star's temperature and its corresponding absorption line spectrum. student: if i am looking at a star's absorption line spectrum and see that it has a lot of lines at the blue end of the spectrum, then the star must be hot because the blue lines are higher energy lines. do you agree or disagree with the student, and why? which of the following is not a weight loss approved drug by the fda? a. belviq b. ephedrine c. contrave d. saxendra e. orlistat A project is:a.is a temporary arrangement undertaken to achieve a specific goal.b.is limited by three elements outcome, resources, and schedule.c.Can include people from various departments and special specialties.d.all of the above. 2. One of the important aspects of entrepreneurship that you must talk about is Intellectual Property (IP).i. Explain to SMEs the importance of Intellectual property (10 marks) ii. Discuss how intellectual property (IP) in Botswana is protected, in your answer state an organization responsible for protecting IP in Botswana. (5 marks) Suppose you win the next $501 Million PowerballYou have two options:1) Take the $$501 Million in 29 equal annual payments (an annuity) starting 'today' or2) Take a 'lump-sum' today, A single payment right now.If you have a 5% Discount Rate (Opportunity Cost, K), how much money would you get right now as a lump-sum?Answer in millions....Example, if your answer is 125,550,000 Simply enter 125.55 Devise a synthesis of CH3CH2CH2CHO from two-carbon starting materials. Be sure to answer all parts. Step 1: Intermediate 1: A grocer has two kinds of candy, one selling for 40 cents a pound and the other for $1.40 per pound. How many pounds of each kind must he use to make 100 pounds worth 85 cents a pound? I need help with this please Please help me with this! I don't understand it-- Economics + 45 pts!1. What is the Marginal Return when increasing the amount of nitrogen used from 11 bags to 16 bags? Explain how that Marginal Return number is calculated. 2. What is the Marginal Yield of Corn in Bushels when the amount of nitrogen is increased from 16 bags to 21 bags? Explain how that Marginal Yield number is calculated. 3. What is the Marginal Value of the extra corn produced when the amount of nitrogen is increased from 16 bags to 21 bags? Explain how that Marginal Value number is calculated. 4. What is the Marginal Return on the extra yield of corn when the amount of nitrogen is increased from 16 bags to 21 bags? Explain how you calculated your answer What does the quote mean it is a truth universally acknowledged that a single man in possession of a good fortune must be in want of a wife? orphaned at an early age, native american leader tecumseh spent his childhood watching frontiersman invade the native land. his brother raised him to be a warrior, but it is said he was so terrified during his first battle, he ran away. by 15 he was tired of seeing the settlers pushing the natives off their land and had joined a band of shawnee atacking settlers flatboats along the ohio river. he later became known as one of the great native american leaders. the story of tecumseh could be used as an example of what kind of leadership theory?a. great man theoryb. trait theoryc. behavioral theoryc. transactional theory Describe the basic conditioning necessary to produce a current in a circuit without a voltage source and list the three methods of meeting this condition Write an equivalent expression for 24x + 16 Focus your attention on the Mandatory/Discretionary Spending chart (Blue Pie Chart). Examine the items on this pie chart. Using information from the pie chart and previous knowledge from this unit respond to the following question. Is the Federal Government slicing the pie correctly? In other words, does the government use funds (tax dollars) appropriately in correctly funding the right programs? Before you begin think about the following:Is money allocated to appropriately the correct programs?Should more or less money be allocated to certain programs?Remember the amount of money is limited. Therefore, if more money is allocated to one program then money must be taken away from another. A. What is the magnitude of an earthquake with amplitude 100,000? Howdo you know?