the scores on a standardized test have an average of 1200 with a standard deviation of 60. a sample of 50 scores is selected. what is the probability that the sample mean will be greater than 1205? round your answer to three decimal places.

Answers

Answer 1

the scores on a standardized test have an average of 1200 with a standard deviation of 60 and 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

On Subtracting 1 from your sample size, we get

100 – 1 = 99.

On Subtracting confidence level from 1, and then divide by two.

(1 – .997) / 2 = 0.0015

Now, df = 99 and α = 0.0015

from the table at df = 99 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(100) = 2.8

Now, 2.262 × 2.8 = 6.33

So, the confidence interval be,

(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)

Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

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Related Questions

If $\frac{x}{2} + \frac{y}{3} = 1$ and $\frac{x}{4} + \frac{2y}{3} = -1$, what is the value of the sum of $x$ and $y$?

Answers

For the given set of equations x/2 + y/3 = 1 and x/4 + 2y/3 = -1 the sum of x and y is 1.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given set of equations are,

x/2 + y/3 = 1,        

x/4 + 2y/3 = -1.

Simplify both the equations,

3x + 2y = 6         (1)

3x + 8y = -12       (2)

Subtract equation (2) and (1),

6y = -18

y = -3

Substitute the value of y = -3, in equation (1)

3x + 2(-3) = 6

3x - 6 = 6

3x = 12

x = 4

The sum of x and y,

x+y = 4 - 3

      = 1

The sum of x and y for the given equations, is 1.

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if the speed limt was 80 kilometers per hour, and elenas mom was driving 75 miles er hourm was sh speeding? by how much?

Answers

Answer: 40.7 kph is how much she was speeding

Step-by-step explanation:

consider the process of throwing $m$ balls into $n$ bins, where each ball is thrown into a uniformly random bin, independent of other balls. what is the expected number of balls in a particular bin $b$?

Answers

The predicted quantity of balls in the first bin is (1/n)n.

Considering that,

There are the same number of balls and containers.

If so, then each container must always contain one ball. The probability of each ball landing in the first bin is (1/n)n.

For instance -

Three balls and three bins should be present. Next to each ball, place an A, B, and C. There are numbers 1, 2, and 3 on the containers. Ball A has a 1/3 chance of landing in bin 1. Although there is a 1/3 probability that ball B will drop in bin 1 and a 1/3 chance that ball C will do the same, both outcomes are possible. Therefore, bin 1 should be equal to 1/3 + 1/3 + 1/3. The rationale behind the projected values of bins 2 and 3 is identical.

According to the same logic, bins 2 and 3 should also have expected values of 1.

How probable is it that the first bin will receive all three balls?

In general, (1/n)n, which equals (1/3)3, or 1/3 x 1/3 x 1/3, equals 1/27.

Therefore, (1/n)n would be the expected number of balls in the first bin.

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3. based on the results of this t-test, report the p value. explain what this means in context of a type 1 error.

Answers

based on the results of this t-test, report the p value. explain this means in context of a type 1 error is  you can reject the null hypothesis, but this does not necessarily mean that your alternative hypothesis is true.

What does p-value tell you about error?

The p-value only tells you how likely the data you have observed is to have occurred under the null hypothesis. If the p-value is below your threshold of significance (typically p < 0.05), then you can reject the null hypothesis, but this does not necessarily mean that your alternative hypothesis is true.

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in words we could say that one thousand grams is equal to one grams. (write the prefix, do not include any dashes).

Answers

The statement is 1000 g = 1 kg. One thousand grams is equal to one kilo grams, to put it in words.

Given that,

The statement is 1000 g = 1 kg. One thousand grams is equal to one _____ grams, to put it in words. (Write the prefix; leave out the dashes.)

We have to fill the blank.

We know that,

What is kilogram?

The metric system's fundamental mass unit is the kilogram. In the past, it has been measured using a variety of sources. It was first calculated based on the weight of 1000 cc of water. Water density varies according to temperature. Furthermore, this reference has been abandoned since the contaminants and solutes in water also provide erroneous results when standardizing the ideal mass of 1 kg.

What is gram?

A gram is described as the 1/1000th of a kilogram in the reference used to define a mass of 1 kg. The maximum density of 1 g/cc was originally used to define it as the mass of 1 cc of water.

Therefore, The statement is 1000 g = 1 kg. One thousand grams is equal to one kilo grams, to put it in words.

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Which one blue, light blue , yellow or red

Answers

Step-by-step explanation:

light blue.

our function needs to calculate r out of h.

P does not recognize h (hours after midnight) as parameter. P needs c as input.

T needs h as input and delivers c as output.

therefore (P ○ T)(h) = r is correct.

first the "inner" T function is calculated with h as parameter and then P is calculated using the result from T (c) as input and delivers r.

let s be a set of n segments in the plane. a line ? that intersects all segments of s is called a transversal or stabber for s.

Answers

Suppose 's' be a collection of 'n' plane segments. It is true to say that a transversal as well as stabber for 's' is a line that crosses every segment of 's'.

Explain the term transversal?

A transversal in geometry is a line, ray, as well as line segment that, on a plane, overlaps other lines, rays, including line segments at various locations.

A transversal is a line that, at two different locations in the geometry, cuts through two lines within the same plane. Various sorts of angles in pairs, including successive internal angles, corresponding angles, and alternate angles, are produced by a transversal intersection between two lines.

Thus, if 's' be a collection of n plane segments. It is true to say that a transversal as well as stabber for 's' is a line that crosses every segment of s.

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Point A in the graph below is reflected through the line Y-X.

What are the coordinates
of Point A', the image of Point A?

Answers

Answer:

[tex](6,1)[/tex]

Step-by-step explanation:

When reflecting over [tex]y=x[/tex], [tex](x,y) \longrightarrow (y, x)[/tex].

What is mZPTR?
(x+28)°
P
R
S
(2x + 16)⁰

Answers

Answer:

140 degrees

Step-by-step explanation:

first we have to find x by setting these 2 angles equal to each other

x+28=2x+16

-x.       -x

28=x+16

-16.    -16

12=x

Now we need to find the x+28 angle

12+28

40

And since PTR is next to it we subtract 180 from this

180-40

140 degrees

Hopes this helps

Given parallelogram DEFG, if DF = 5x + 1, what is XF?

Answers

Applying the property of the diagonals of a parallelogram, XF = 13 units.

What are Some Properties of a Parallelogram?

A parallelogram is a quadrilateral with the following properties:

The opposite sides are equal and parallelThe two diagonals of a parallelogram bisects each other into equal halves each.

DF and EG are diagonals of parallelogram DEFG, where:

DF = 5x + 1

EX = 2x

XG = 3x - 5

Based on the property of the diagonals of a parallelogram, we have:

EX = XG

Substitute

2x = 3x - 5

2x - 3x = -5

-x = -5

x = 5

Length of XF = 1/2(DF)

Substitute

Length of XF = 1/2(5x + 1)

Plug in the value of x

Length of XF = 1/2(5(5) + 1)

Length of XF = 13 units

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which fraction is greater 1/3 or 1/9

Answers

Answer:

1/3

Step-by-step explanation:

1/9 is one piece in total of 9 but 1/3 is one piece in total of 3

several people form groups with eight people in each group. write an expression for the number of groups formed by p people. how many groups are formed if there are 96 people?

Answers

If 96 people divide into groups of eight, the following expression indicates that 12 groups are created.

Eight persons form groups made up of multiple people. a expression for how many groups made up of p people there are.

P = the number of groups.

12 groups out of 96

If there are 96 individuals, 12 groups are created.

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Hypatia has read 13 chapters of a 22-chapter book.
What percent of the chapters has she read?

Answers

Answer:

Step-by-step explanation:

13+22=35%

what is the median of the following numbers? 8, 10, 10, 10, 6, 7, 88,10,10,10,6,7,88, comma, 10, comma, 10, comma, 10, comma, 6, comma, 7, comma, 8

Answers

The median is 10 as the value 10 is at 10th position.

What is Median?

The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data collection.

Solution:

Firstly we need to arrange the data in ascending order

6,6,6,7,7,7,8,8,10,10,10,10,10,10,10,10,10,88,88

the total number of digits are

n = 19

So, the middle value that divide the data in two halves will be at n = 10

The median is 10 as the value 10 is at 10th position.

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Which of these relations is a function?

Answers

Answer:

The top right

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because for every x there is a only an y

do not consider the effect of shear stress. find the results in terms of p, e and iz. the beam is thin which means the u and v will be functions of x and y only

Answers

The shear and moment throughout the beam as functions of x are V = ( 30 - 2x ) kip and M = ( - x² + 30 x - 216 ) kip ft for 0 ≤ x ≤ 6 ft and V = 8 kip and M = ( 8 x - 120 ) kip ft for 6 ≤ x ≤ 10 ft

What is meant by shear and moment?

The ability to construct shear force diagrams (SFD) and bending moment diagrams (BMD) is essential for any student studying statics, mechanics of materials, or structural engineering. Both a long and a short route can be used to complete them. The extended method is more thorough and yields formulas for the internal shear and internal bending moments in beams in terms of x: V(x) and M(x), respectively. In introductory statics classes, this is typically the approach required to demonstrate understanding of the situation. The rapid method eliminates the need for calculations in terms of x and instead employs a more visual method that you may use to highlight the crucial areas on the diagrams before simply connecting the dots.

How to solve?

For 0 ≤ x ≤ 6 ft,

∑ Fy = 0

30 - 2 x - V = 0

V = ( 30 - 2x ) kip

∑M = 0

M + 216 + 2 x ( x / 2 ) - 30 x = 0

M = ( - x² + 30 x - 216 ) kip ft

For 6 ≤ x ≤ 10 ft,

∑ Fy = 0

V - 8 = 0

V = 8 kip

∑ M = 0- M - 8 ( 10 - x ) - 40 = 0

M = ( 8 x - 120 ) kip ft

the shear and moment throughout the beam as functions of x are :

V = ( 30 - 2x ) kip and M = ( - x² + 30 x - 216 ) kip ft for 0 ≤ x ≤ 6 ft

V = 8 kip and M = ( 8 x - 120 ) kip ft for 6 ≤ x ≤ 10 ft

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Which set of measurements can represent the lengths of a triangle's sides? classify each set of lengths as a triangle or not a triangle.

Answers

The measurements are represented by lengths of a triangle's sides by -

Option C: 3 in, 7 in, and 8 inOption D: 3 in, 5 in, and 7 inExplain the term triangle?A triangle is a polygon with three vertices and three sides. The angles of a triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

The triangle's three sides must satisfy the following condition:

"The total of any two triangle sides must be larger than or equal here to third side of the triangle."

We have four options in this question, so we'll go through them one at a time.

Option A: 1 in, 3 in, and 7 in

Since (1+3)<7  in this case, a triangle cannot be formed.

Option B: 3 in, 3 in, and 7 in

Since (3+3)<7 in this case, a triangle cannot be formed.

Option C: 3 in, 7 in, and 8 in

In this instance, (3+7)>8, (3+8)>7, and ((7+8)>3

Thus, a triangle will be formed by these.

Option D: 3 in, 5 in, and 7 in

In this instance, (3+5)>7, (3+7)>5, and (5+7)>3

Thus, a triangle will be formed by these.

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The options for the question are attached.

can anyone please write this in word form.

Answers

Answer:

four x plus three divided by two

Step-by-step explanation:

question what is the hundreds digit of the integer z? (1) 10z > 25,670 (2) z rounded to the nearest hundred is 2,600.

Answers

Part a:  10z > 25,670; infinite integer.

Part b: Range =  2550 to 2649.

Explain the term integer?All whole numbers including negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results. An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 10, 21, 15, 18, 97, and 343.

Part a:  10z > 25,670

Divide the inequality on both sides by 10.

z >  2,567

Thus, there are infinite number which are greater than 2567.

Part b:  z rounded to the nearest hundred is 2,600.

Range =  2550 to 2649.

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Can you help me with these questions please. look at the image.

Answers

Using Pythagoras's theorem, the relationships of the sides of the right triangle is x² - 21x + 108 = 0.

The value of x in the right triangle is x = 9 or x = 12.

How to find the sides of a right angle triangle?

The right angle triangle is a triangle with one of its angles as 90 degrees. The sides of a right angle triangle can be found using Pythagoras's theorem.

Hence,

c² = a² + b²

where

c = hypotenusea and b are the other legs.

Therefore, the equation to show the relationships between the three sides can be gotten by applying Pythagoras's theorem.

x² + (21 - x)² = 15²

x² + (21 - x)(21 - x) = 225

x² + 441 - 21x - 21x + x² = 225

2x² - 42x + 441 - 225 = 0

2x² - 42x + 216 = 0

divide through by 2

x² - 21x + 108 = 0

Let's find the value of x by factoring.

x² - 21x + 108 = 0

x² - 12x - 9x + 108 = 0

x(x - 12) - 9(x - 12) = 0

(x - 9)(x - 12) = 0

Therefore,

x = 9 or x = 12

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PLS HELP WILL GIVE BRAINLIEST The table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.​

Answers

Step-by-step explanation:

A .

1150-1090=60

60feet/5sec = 12feet/sec

B.

yes it's is constant , because is decreasing by 60 feet in every 5 sec

C.1150

Boris has 22 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating N to F. Then use this equation to find the number of shirts he would have left to fold after folding 15 of them.

Answers

The number of shirts to be left for folding is 7 and the equation is F+N=22.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Boris has 22 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating N to F.

The equation will be written as,

N + F = 22

N + 15 = 22

N = 22 - 15

N = 7

Therefore, the number of shirts to be left for folding is 7 and the equation is F+N=22.

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Select all of the expressions that are equivalent to 5% of 60.

Answers

Answer:

1, 2, and 3

Step-by-step explanation:

5% = 0.05 = 1/20

The first expression is equal, as 5% is equal to 1/20.

The second expression is equal, as 5% in decimal form is 0.05.

The third expression is equal, as 5% is 5/100 in fraction form, which can be simplified to 1/20.

The fourth expression is NOT equal, as it is 20%, not 5%. 1/5 = 0.2.

The fifth expression is NOT equal becauase 0.5 is one half (1/2), which is not equal to 0.05.

7/10 - ____ + 3/2 =6/5?
What's the answer in the blank?

Answers

Answer:1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

7/10-x+3/2=6/5

7/10-x=6/5-3/2

7/10-x=-3/10

-x=-10/10

x=1

[tex]\cfrac{7}{10}-x+\cfrac{3}{2}=\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{7}{10}-x+\cfrac{3}{2} \right)=10\left( \cfrac{6}{5} \right)}\implies 7-10x+15=12 \\\\\\ 22-10x=12\implies 22=10x+12\implies 10=10x\implies \cfrac{10}{10}=x\implies 1=x[/tex]

you order 3 strings of white led lights and 2 strings of colored led lightgs for 66$ In a second order you buy one string of each type for 27$ A. WHICH TYPE OF LED IS MORE EXPENSIVE

Answers

The colored type of led is more expensive if you order 3 strings of white led lights and 2 strings of colored led lights for 66$.

What is meant by an equation?

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

First type of white led have 3 strings=3x

Second type of colored led have 2 strings and bought only one string=2y

The total cost =3x+2y=66    ----------->(1)

In the second order ,

Each string brought only one=x+y=27 ------->(2)

Solving equations 1 and 2

From eq2, y=27-x

3x+2(27-x)=66

3x+54-2x=66

X=12

Y=27-x=27-12=15

Therefore, the type of colored led are expensive

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suppose there are n independent trials of an experiment with k>3 mutually exclusive​ outcomes, where pi represents the probability of observing the ith outcome. what would be the formula of an expected count in this​ situation?

Answers

The expected counts for each possible outcome are given by Ei = npi

What is mutually exclusiveoutcomes?

When two events cannot happen simultaneously or at the same time, they are said to be mutually exclusive in probability theory. In other words, discontinuous occurrences are described as being mutually exclusive. The likelihood of two events occurring simultaneously is 0 if they are regarded as disjoint events. Events that do not occur simultaneously are said to be mutually exclusive. When a coin is tossed, for instance, the outcome will either be head or tail, but we cannot get both outcomes.

The expected counts for each possible outcome are given by Ei = npi

Suppose there are n independent trials of an experiment with k > 3 mutually exclusive outcomes,

where pi represents the probability of observing the ith outcome.

The expected counts for each possible outcome are given by Ei = npi

Where,  pi is the probability of observing the ith outcome

Ei is the expected count of the ith outcome.

Hence, The expected counts for each possible outcome are given by Ei = npi.

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At 11:00 am, a body was found within a closed room of a mansion where the air temperature is a constant 70 degrees F. At the time of discovery, the core temperature was determined to be 85 degree F. One hour later, a second measurement showed the core temperature of the body was 80 degrees F. Assume the core temperature of the body at the time of death was 98.6 degrees F. Use Newton’s Law of Cooling to determine the time of death. Hint: Let t=0 represent 11:00 am and work backwards to 98.6 degrees F.

Answers

The time that has elapsed before the body was found is 1.5 hour

What is Newton's method of cooling ?

Newton's law of cooling states that the rate of heat loss from a body is inversely related to the temperature difference between the body and its surroundings.

Given:

when time, t = 0, temperature = 98.6 ⁰F

when time, t = 1, temperature = 75⁰

when time,  t = t, temperature = 80⁰

By Newton's method of cooling equation;

T(t) = [tex]T_s (T_0 - T_s)e^{kt[/tex]

T(t) = 70+  28.6[tex]e^{kt[/tex]

Now, At the time of discovery

80 = 70+  28.6[tex]e^{kt[/tex]

10= 28.6[tex]e^{kt[/tex]

Then, 1 hour later( t + 1) we have the second equation;

75= 70 + 28.6[tex]e^{kt[/tex]

28.6[tex]e^{kt[/tex] = 5

Now, divide equation 1  by equation 2;

2= [tex]e^{-k[/tex]

k = -0.693

The time when he dead body was discovered

10= 28.6[tex]e^{kt[/tex]

10= 28.6[tex]e^{-0.693[/tex]

-0.693t = ln (10 /28.6)

-0.693t = -1.05

t= 1.5 hour

Hence, the time that has elapsed before the body was found is 1.5 hour

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if the slope of a line is k, and the line passes through the points (0, k 3) and (-3 , 0), what is the value of k

Answers

Answer:

1

Step-by-step explanation:

assuming your points are (0,3) and (-3,0) you would "rise" 3 and "run" 3 to get from one point to the next on a graph, making your rise over run (aka slope) 3/3 which is equal to 1.

even if a treatment has no effect, it is still possible to obtain an extreme sample mean that is very different from the population mean. what outcome is likely if this happens?

Answers

The outcome is Reject H0 and make a Type 1 error

What is H0?

When your sample contains sufficient evidence, you can reject the null and conclude that the effect is statistically significant. Statisticians often denote the null hypothesis as H0.

Here type 1 error is defined as Rejecting H0 when H0 is true.

Therefore, the outcome is Reject H0 and make a Type 1 error.

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every week, greg spends at least three times the number of hours traveling to work as he does being at work. if greg is at work for 10 hours a week, how much time does he spend traveling to work each week? question 12 options: a) at least 30 hours b) at least 16 hours c) at least 22 hours d) at least 25 hours

Answers

If Greg is at work for 10 hours a week, he spends 30 hours traveling to work.

Explanation

No of hours he works in a week = 10

No of hours he spends on travelling = 3 * no of hours he works in a week

=10 x 3 =

30 hours

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.

The repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

In addition to addition, subtraction, and division, multiplication is a mathematical operation. The four fundamental arithmetic operations are taught to students in their primary classes.

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Which expression is equivalent to (7x3)?(x8)2?A14x10B49x10C14x'D 49x Why the population increased during the High Middle Ages? Which answer shares a word partwith the word below?ascertainingA. casualB. definitiveC. certain Determine the quantity (g) of pure MgSO4 in 2. 4 g of MgSO47H2O. Show your work which of the following is a consistent finding regarding age identity? multiple choice most adults feel that their age identity is five years older than their chronological age. the age identity of adults is directly proportional to their chronological age. as adults become older, their age identity is younger than their chronological age. most adults feel that their age identity is much older than their chronological age. Wave motion is characterized by two velocities: the velocity with which the wave moves in the medium (e. G. , air or a string) and the velocity of the medium (the air or the string itself). Consider a transverse wave traveling in a string. The mathematical form of the wave is. Which of the following correctly matches the phase of the eukaryotic cell cycle with an event that takes place in that phase?a. G2 phasemitosisb. G1 phaseDNA synthesisc. S phasecell growthd. M phasecytokinesis [tex]5^{2x+1} =25[/tex] a company has sales of $119,000; cost of goods sold of $74,870; and total direct expenses of $8,620. the department contribution to overhead is: Scientist often use ______________ which are programs that combine what is known about atmospheric circulation, ocean circulation, atmosphereocean interactions, and feedback cycles to simulate climate dynamics. add a new built-in path command that allows users to show the current pathname list, append one pathname, or remove one pathname. in your shell implementation, you may keep a data structure to deal with the pathname list. if you do not use execle() or execve() that allows you to execute with your own environment variables, you will need to add it to the "real" path environment variable for executables in the path to work correctly. the initial value of path within your shell shall be the bill questions whether there is consideration for her contract with Isaac to exchange her catering services for his payment of a certain amount. To constitute consideration, the value of whatever is exchanged must belegally sufficient. In each of the following equations, determine which variable represents the angle and which variable represents the value of the trigonometric function. (a) In the equation q = sin d, represents the angle and represents the value of the trigonometric function. (b) In the equation p = tan^1 c, represents the angle and represents the value of the trigonometric function. (c) In the equation arccos n = upsilon, represents the angle and represents the value of the trigonometric function. assume there must be one-to-one matching between consultants and projects. after the row and column reductions, what is the resulting entry in the new table for assigning rick to project d? 8(8 - k) = -72kplease help The political attractiveness of tariffs, quotas, and other trade restrictions is primarily the result of. the nurse is assisting an 82-year-old client to ambulate. which is the center of gravity for an elderly person? does the field [that is caused by a straight wire] have an axial component? does it have a radial component? rue or false: programmed conflict is designed to create dysfunctional conflict on a regular basis, in order to stimulate creativity and innovation in teams. group of answer choices true false Sentence 6. They tuned in to an announcer describing a strange creature climbing out of a vessel in Grovers Mill, New Jersey. Sentence 7. Then they heard the announcer and a crowd of people being annihilated by the creatures ray gun. 6. The relationship of sentence 7 to the sentence before it is one ofa. time.b. addition.c. contrast.d. illustration.