researchers examined a random sample of 331 patients who had recovered from traumatic brain injuries resulting in coma. the patients were given an iq test shortly after awakening from their coma. their average iq score was 88. iq scores are designed to be normally distributed with mean 100 and standard deviation 15 in the general population. does the study provide evidence that patients who have recently recovered from a coma have a lower iq score, on average, than the general population?evaluate carefully the information provided.who/what are the individuals studied?what is/are the variable(s) described?what is the study's stated objective? the null hypothesis for the corresponding test is:

Answer:

its d

Step-by-step explanation:

have a nice day

Answer:

A. ^3√5 is the answer.

Step-by-step explanation:

5^( 1 / 3 ) = ^3√5

The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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The rate of change of the ordered pairs of the graph is 2.

An indicator of how one quantity changes in relation to another is called a rate of change. The rate at which one quantity changes in relation to another quantity is known as the rate of change function.

Given that the ordered pairs of the graph are {(1,3), (2,5), (3,7), (4,9)}. The rate of change will be calculated as,

R = Δ y = Δx

R = ( 5 - 3 ) / ( 2 - 1 )

R = 2 / 1

R = 2

Therefore, the rate of change of the ordered pairs of the graph is 2.

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The value of cos C is 3/5

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

In a right angle triangle, the longest side is called the hypotenuse and the other two sides are called opposite and adjacent. The line facing the acute angle( tetha) is the opposite. The ratio of the sides with the acute angle are called trigonometric ratio.

sin(tetha) = opp/ hyp

cos( tetha) = adj/ hyp

tan(tetha) = opp/adj

In the triangle, using angle C,

opposite = 4

adjascent = 3 and hypotenuse = 5

cos (C) = 3/5

therefore the value of cos (C) = 3/5

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The price elasticity of demand (PED) for the logo T-shirts is 1.67, indicating that the demand for T-shirts is elastic. Lowering the price from $15 to $10 increased the total revenue, suggesting that the T-shirt made a good decision in lowering the price. This is because the price change led to a significant increase in quantity demanded and overall revenue.

To calculate the price elasticity of demand (PED), we can use the following formula:

PED = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))

Given that Q1 = 25, Q2 = 50, P1 = $15, and P2 = $10, we can substitute these values into the formula:

PED = ((50 - 25) / ((50 + 25) / 2)) / (($10 - $15) / (($10 + $15) / 2))

Simplifying this expression:

PED = (25 / 37.5) / (-5 / 12.5)

PED = (-2/3) * (-2.5) = 1.67

The price elasticity of demand (PED) for the logo T-shirts is 1.67.

Since PED is greater than 1, it indicates that the demand for T-shirts is elastic. This means that a decrease in price by 1% will result in a greater than 1% increase in quantity demanded. To determine if lowering the price was a good decision, we can analyze the effect on total revenue. The price-total revenue test states that:

If PED is elastic (greater than 1), a decrease in price will lead to an increase in total revenue.

If PED is inelastic (less than 1), a decrease in price will lead to a decrease in total revenue.

If PED is unit elastic (equal to 1), a change in price will have no effect on total revenue.

Let's calculate the total revenue at both prices:

Total Revenue at $15 = $15 * 25 = $375

Total Revenue at $10 = $10 * 50 = $500

Comparing the total revenue at each price, we can see that lowering the price from $15 to $10 increased the total revenue from $375 to $500. Therefore, the T-shirt made a good decision in lowering the price because it led to an increase in total revenue.

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9514 1404 393

Answer:

  (1, 7)

Step-by-step explanation:

Fill in x=1 and do the arithmetic.

  h(1) = 4(1) +3 = 7

The coordinate pair is ...

  (x, h(x)) = (1, h(1)) = (1, 7)

Answer:

180-92= 88 degree

Step-by-step explanation:

180-92= 88 degree

Answer:

Supplementary angles are two angles whose sum is 180°.

92+x= 180

x= 180-92

x= 88

The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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Step-by-step explanation:

4x^2 +10+ 2(2x+4)

4x^2 + 10x+4x+8

4x^2 +14x+8

4x^2+16x-2x -8

4(x+4)+2(x+4)

4+2(x+4)

6(x+4)

Answer:

2.7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The angles at point A have to be congruent so that you have two congruent angles. and one congruent side, which give SAA.

From the image, we can see than angle B and angle D are congruent. We also know that line AC is congruent to itself since it shared between the two triangles. Since we need one more angle, that angle has to be angle A.

Answer:

About 280,000

Step-by-step explanation:

Answer:

280,000

Step-by-step explanation:

If you multiply 70000 by 2 twice, then you get 280,000

Hope that this helps!

Considering that it is a three-dimensional form, it's spatial measurements are height, width and length.

A two-dimensional form has two dimensions, width and length. When there are three dimensions, the height is added.

In this case, height and width are already listed, hence the length is missing.

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Choose all answers about the symmetric closure of the relation R = { (a, b) | a > b }

The correct answers are 1. { (a,b) | a ≠ b } and 3. { (a,b) | (a > b) ∨ (a < b)}.

The symmetric closure of a relation R is the smallest symmetric relation that contains R.  

The given relation is R = { (a, b) | a > b }. We need to choose all answers about the symmetric closure of the relation R.So, the answers are as follows:

Answer 1: { (a,b) | a ≠ b } The symmetric closure of the relation R is the smallest symmetric relation that contains R. The relation R is not symmetric, as (b, a) ∉ R whenever (a, b) ∈ R, except when a = b. Therefore, if (a, b) ∈ R, we need to add (b, a) to the symmetric closure to make it symmetric. Thus, the smallest symmetric relation containing R is { (a,b) | a ≠ b }. Hence, this answer is correct.

Answer 2: R ∩ R-1 R ∩ R-1 is the intersection of a relation R with its inverse R-1. The inverse of R is R-1 = { (a, b) | a < b }. R ∩ R-1 = { (a,b) | a > b } ∩ { (a, b) | a < b } = ∅. Therefore, R ∩ R-1 is not the symmetric closure of R. Hence, this answer is incorrect.

Answer 3: { (a,b) | (a > b) ∨ (a < b)} The given relation is R = { (a, b) | a > b }. We can add (b, a) to the relation to make it symmetric. Thus, the symmetric closure of R is { (a, b) | a > b } ∪ { (a, b) | a < b } = { (a,b) | (a > b) ∨ (a < b)}. Therefore, this answer is correct.

Answer 4: { (a,b) | (a > b) ∧ (a < b)} The relation R is not symmetric, as (b, a) ∉ R whenever (a, b) ∈ R, except when a = b. Therefore, we need to add (b, a) to the relation to make it symmetric. However, this would make the relation empty, as there are no a and b such that a > b and a < b simultaneously. Hence, this answer is incorrect.

Answer 5: R ∪ R-1 The union of R with its inverse R-1 is not the symmetric closure of R, as the union is not the smallest symmetric relation containing R. Hence, this answer is incorrect.

Answer 6: R ⊕ R-1 The symmetric difference of R and R-1 is not the symmetric closure of R, as the symmetric difference is not a relation. Hence, this answer is incorrect.

Answer 7: { (a,b) | a < b } This is the opposite of the given relation, and it is not the symmetric closure of R. Hence, this answer is incorrect.

Answer 8: { (a,b) | a > b } This is the given relation, and it is not the symmetric closure of R. Hence, this answer is incorrect.

Answer 9: { (a,b) | a = b } This is not the symmetric closure of R, as it is not a relation. Hence, this answer is incorrect.

Therefore, the correct answers are 1. { (a,b) | a ≠ b } and 3. { (a,b) | (a > b) ∨ (a < b)}.

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The moment generating function of a standard normal random variable.

1. Given that Y1, Y2, Y3, Y4, Y5 be a random sample of size 5 from a standard normal population. We need to find the moment generating function of the statistic:

\(X=2Y12 +Y22 +3Y32 +Y42 +4Y52\). Moment generating function (MGF) of random variable Y is given by M(t) = E(etY )Using this formula, we can find MGF of X as follows:

\(X=2Y12 +Y22 +3Y32 +Y42 +4Y52\)

=\(2(Y1)2 + (Y2)2 + 3(Y3)2 + (Y4)2 + 4(Y5)2\)

∴ MGF of X is given by M(t) =\(E(etX)\)

\(= E(et[2(Y1)2 + (Y2)2 + 3(Y3)2 + (Y4)2 + 4(Y5)2])\)

\(= E(et[2(Y1)2]) . E(et[(Y2)2]) . E(et[3(Y3)2]) . E(et[(Y4)2]) . E(et[4(Y5)2]){\) Using independence of the random variables, \(E(et(Y1 + Y2))\)

\(= E(etY1) . E(etY2) and E(et(aY))\)

\(= E[(etY)a]\) for any constants a and t}

The moment generating function of a standard normal random variable.

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Bahama Foods sets the selling price per unit at $39.50, which allows them to cover both their fixed costs and variable costs per unit.

To find the selling price per unit at Bahama Foods, we need to consider the break-even point, fixed costs, and variable costs.

The break-even point represents the level of sales at which total revenue equals total costs, resulting in zero profit or loss. In this case, the break-even point is given as 1,600 units.

Fixed costs are costs that do not vary with the level of production or sales. Here, the fixed costs are stated to be $44,000.

Variable costs, on the other hand, are costs that change in proportion to the level of production or sales. It is mentioned that the variable cost per unit is $12.

To determine the selling price per unit, we can use the formula:

Selling Price per Unit = (Fixed Costs + Variable Costs) / Break-even Point

Substituting the given values:

Selling Price per Unit = ($44,000 + ($12 * 1,600)) / 1,600

= ($44,000 + $19,200) / 1,600

= $63,200 / 1,600

= $39.50

Therefore, the selling price per unit at Bahama Foods is $39.50.

This means that in order to cover both the fixed costs and variable costs, Bahama Foods needs to sell each unit at a price of $39.50.

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Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

\(cost_1(x) = 0.5*x\)

For the second option we have:

\(cost_2(x) = 5000 + 0.1*x\)

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

\(cost_1(60000) = 0.5*60000 = 30000\)

\(cost_2(60000) = 5000 + 60000*0.1 = 11000\)

The second option will cost her less than the first one.

Answer:

The answer is 82,472

Step-by-step explanation:

The nearest estimate of 208.4=208.

The nearest estimate of 396.51 is 396.5

So the product is 82,472

The man’s son. Since the man has no brothers and the father of the man in the photograph is the man’s father’s son, the father of the man in the photograph must be the man. That means that the man in the photograph is the man’s son.

Answer:

43 or 25

Step-by-step explanation:

Plug all of the numbers into the equation.

(i'm not sure if the 3x2 is a letter or not, so i'll just solve it anyways for both.)

3(4)(2) + (2(5) +(3)(3) = 43

If it's not a letter then

3x2 + (2(5)+3(3)) = 25

The solution for x in the function when the equation  y=−4x+12 equals -12 is -6

From the question, we have the following equation that can be used in our computation:

y=−4x+12

To make the equation legible, we need to rewrite it

So, we have the following representation

y = −4x + 12

Also from the question, we have

y = -12

This means that we calculate x when y = -12

Substitute the known values in the above equation, so, we have the following representation

-12 = -4x + 12

So, we have the following equation

-4x + 12 = -12

Add -12 to both sides of the equation

So, we have the following representation

-4x + 12 - 12 = -12 - 12

Evaluate the like terms in the equation

-4x = -24

Divide both sides of the equation by -4

x = 6

Hence, the solution is 6

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Possible question

The equation below describes a function of x . y=−4x+12

Solve for x when y = -12

(a) Total number of trips = 270

(b) There are 33 different visits that could make.

We have the information:

There are 18 major sea islands in the queen Elizabeth islands of Canada. There are 15 major lakes in Saskatchewan, Canada.

Let us say that A indicates the major sea Islands and B indicates the major lakes.

Taking both the cases as events, we will use multiplication principle.

Based on the information, the event A occurs in m ways and the event B will occur in n ways. So, the two events will occur in m×n ways.

(a) A × B = 18 × 15

Total number of trips = 270

(b) |A| = 18

|B| = 15

A ∩B = θ         (as we cannot visit both an island and lake)

Addition Principle: There are |A| + |B| ways to choose an element form

A ∪ B , when A and B are the finite sets with A ∩B = θ

|A ∪ B| = |A| + |B| = 18 + 15 = 33

Thus, There are 33 different visits that could make.

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To find the total area between the curves\(\(x+y=0\)\) and\(\(x+y^2=6\)\), we need to calculate the area of the region enclosed by these curves.total area between the curves \(x+y=0\) and
\(\(x+y^2=6\)\) is\(\(\frac{117}{10}\)\) square units.

First, let's find the points of intersection between the two curves by solving the equations simultaneously. From \(\(x+y=0\)\), we have \(y=-x\). Substituting this into \(\(x+y^2=6\)\), we get \(\(x+(-x)^2=6\)\), which simplifies to\(\(x+x^2=6\)\). This equation can be rewritten as\(\(x^2+x-6=0\)\), which factors to \(\((x+3)(x-2)=0\)\). Thus, the points of intersection are \(x=-3\) and \(x=2\).
To find the area between the curves, we need to integrate the difference in y-values between the curves over the interval where they intersect. Integrating \(\(x+y^2- (x+y)\)\)from \(x=-3\) to \(x=2\) will give us the desired area.
Evaluating the integral, we find the total area between the curves to be \(\(\frac{117}{10}\)\) square units.
Therefore, the total area between the curves \(x+y=0\) and\(\(x+y^2=6\)\) is\(\(\frac{117}{10}\)\) square units.

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Its slope is 0, which indicates that it is a horizontal line, and its

y-intercept is −3.

When an equation of a line has only one variable, the resulting graph is a horizontal or a vertical line.

The graph of the line  x=a

, where  a is a constant, is a vertical line that passes through the point  (a,0) . Every point on this line has the x-coordinate equal to a, regardless of the y-coordinate.

The graph of the line  y=b , where  b  is a constant, is a horizontal line that passes through the point  (0,b) . Every point on this line has the y-coordinate equal to b, regardless of the x-coordinate.

We can write

y=−3

as

y=0x−3

So, its slope is 0, which indicates that it is a horizontal line, and its

y-intercept is −3. Hence, its graph looks like

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

248 words in 4 minutes

Step-by-step explanation:

words : minutes

124      : 2

Multiply each side by 2

124*2   : 2*2

248    : 4

248 words in 4 minutes

Answer:

He can type 248 words in 2 minutes.

Step-by-step explanation:

USING RATIOS:

124 : 2

x : 4

You must multiply each side by 2 to get...

248 : 4

The answer is:

Whether you add or subtract the equations, you get the same resulting equation in one variable.

Answer:

17

Step-by-step explanation: