Conscientiousness is a tendency to show self-discipline, act dutifully, and aim for achievement. The trait shows a preference for planned rather than spontaneous behavior. A random sample of 650 students is asked to fill out the Hogan Personality Inventory (HPI) to measure their level of conscientiousness. The 350 graduate students had a mean score of 153 with a standard deviation of 21. The 300 undergraduate students scored an average of 148 with a standard deviation of 16. We are interested in determining whether graduate students score higher, on average, on the HPI than undergraduate students. What is the value of the test statistic for testing these hypotheses using a pooled two sample t-test?

Answer:

Step-by-step explanation:

hello,

I assume that you mean

[tex]h(x)=\dfrac{12}{x-1}[/tex]

so first of all let's take x real different from 1 , as this is not allowed to divide by 0

[tex](hoh^{-1})(x)=x=h(h^{-1}(x))=\dfrac{12}{h^{-1}(x)-1} \ \ \ so\\h^{-1}(x)-1=\dfrac{12}{x} \\\\h^{-1}(x)=1+\dfrac{12}{x}[/tex]

and this is defined for x real different from 0

hope this helps

Answer:

  f(4) = g(4) and f(0) = g(0)

Step-by-step explanation:

In order for f(x) = g(x), the value of x must be the same in both functions:

  f(4) = g(4) . . . corresponds to x=4

  f(0) = g(0) . . . corresponds to x=0

The graph is not shown here, so we cannot say if these are the appropriate solutions. We can only say that the other choices are not.

f(x) = g(x) if ...

  f(4) = g(4) and f(0) = g(0)

__

Something like f(0) = g(4) is useless for finding solutions to f(x) = g(x).

Answer: D, 28 bottles.

Step-by-step explanation:

This can be translated to:

26.5 liters of water and 8.25 liters of orange juice are mixed together. All that mixture  is bottled in bottles of  1.25 liters. How many bottles are needed  to fill all the orange juice mixture?

the total mass of mixture that we have is:

26.5 L + 8.25 L = 34.75 L.

if we want to divide it into groups of 1.25 L, we have:

N = 34.75/1.25 = 27.8

So we have 27.8 groups of 1.25L this means that we need 27.8 bottles.

But we can not have a 0.8 of a bottle, so we must round it up to 28 bottles.

Then the correct option is D:

Answer:

The difference of the functions is (f-g)(x) = 3x - 3

Step-by-step explanation:

In the problem, we are asked to find the difference of the two functions, f(x) and g(x). When we see (f-g)(x), this means that we are going to subtract g(x) from f(x).

f(x) = 5x - 2

g(x) = 2x + 1

(f-g)(x) = (5x - 2) - (2x + 1)

Distribute the negative to (2x + 1)

(f-g)(x) = 5x - 2 - 2x - 1

Combine like terms. Make sure your answer is in standard form.

(f-g)(x) = 3x - 3

So, the answer to the equation is (f-g)(x) = 3x - 3

Answer:

The probability of getting someone who tests positive, given that he or she did not have the disease = P(P|No) = 0.041

Step-by-step explanation:

Complete Question

The data represents the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests positive, given that he or she did not have the disease.

P/N | Yes | No

+ve | 141 | 6

-ve | 11 | 142

Note that +ve and -ve l stands for testing positive and negative respectively.

Yes and No represents whether one has the disease or not respectively.

Solution

Let

- The event of testing positive be P.

- The event of testing negative be N.

- The event of having the disease be Yes.

- The event of not having the disease be No.

The probability of getting someone who tests positive, given that he or she did not have the disease = P(P|No)

The conditional probability of A given B is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

Hence,

P(P|No) = P(P n No) ÷ P(No)

To solve these probabilities, we first define the probability of an event as the number of elements in that event divided by the Total number of elements in the sample space.

P(No) = n(No) ÷ n(Sample space)

n(No) = 6 + 142 = 148

n(Sample Space) = 141 + 11 + 6 + 142 = 300

P(No) = (148/300)

P(P n No) = n(P n No) ÷ n(Sample space)

n(P n No) = 6

n(Sample Space) = 300

P(P n No) = (6/300)

P(P|No) = P(P n No) ÷ P(No)

= (6/300) ÷ (148/300)

= (6/148)

= 0.0405405405 = 0.041 to 3 d.p.

Hope this Helps!!!

please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment...

Answer:

the last one is correct

Step-by-step explanation:

hello,

-4(-11+4n)-3(-2n+9) = 44 - 16n + 6n - 27 = -10n + 17

hope this helps

Answer:

0.05 inches per minute

Step-by-step explanation:

The formula for speed is [tex]Speed=\frac{Distance}{Time}[/tex]

The given distance is 6 inches and the time is 120 minutes. Plug in the components into the formula to solve for speed and reduce:

[tex]Speed=\frac{6}{120}[/tex]

[tex]Speed=\frac{1}{20}[/tex]

1/20 in decimal form is 0.05

Answer:

Step-by-step explanation:

Hello, this is a geometric sequence so we are looking for a multiplicative factor.

[tex]a_0=600\\\\a_1=a_0 \cdot \boxed{\dfrac{1}{2}} = 300 = 600 \cdot \boxed{\dfrac{1}{2}}\\\\a_2=a_1 \cdot \boxed{\dfrac{1}{2}} = 150= 300 \cdot \boxed{\dfrac{1}{2}}\\\\a_3=a_2 \cdot \boxed{\dfrac{1}{2}} = 75 = 150 \cdot \boxed{\dfrac{1}{2}}[/tex]

So, the explicit formula is for n

[tex]\boxed{a_n=a_0\cdot \left(\dfrac{1}{2}\right)^n=600\cdot \left(\dfrac{1}{2}\right)^n}}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The explicit rule is aₙ = a₀(1/2)ⁿ = 600(1/2)ⁿ for the given geometric sequence.

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio.

We have been given that geometric sequence as:

600, 300, 150, 75, ...

To determine the explicit rule for the geometric sequence, we have to find the common ratio.

Here the first term (a₀) is 600

So the common ratio = 300/600 = 150/300 = 75/150 = 1/2

Thus, the explicit formula for n would be:

aₙ = a(1/2)ⁿ = 600(1/2)ⁿ

Therefore, the explicit rule is aₙ = a(1/2)ⁿ = 600(1/2)ⁿ for the given geometric sequence.

Learn more about the geometric series here:

brainly.com/question/21087466

#SPJ2

Answer:

1/2

Step-by-step explanation:

The numbers that are 6 or even on the cards are 2, 4, and 6.

3 cards out of a total of 6 cards.

3/6 = 1/2

Answer:

1/2 chance

Step-by-step explanation:

There are 3 numbers that fit the rule, 2, 4, and 6. 3/6 chance of picking one or 1/2, simplified.

Answer:

x = 16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+2) * 2 = 6^2

2(x+2) = 36

Divide each side by 2

x+2 = 18

Subtract 2

x+2-2 = 18-2

x = 16

Answer:

x = 16

Step-by-step explanation:

According to tangent-secant Theorem:

(Tangent)² = (External Part of the secant)(Whole Secant)

(6)² = (2)(2+x)

36 = 4+2x

Subtracting 4 from both sides

36-4 = 2x

=> 2x = 32

Dividing both sides by 2

Answer: c = 10

Step-by-step explanation:

Pythagorean Theorem states that in a right triangle [tex]a^2 + b^2 = c^2[/tex], where a and b  are the legs of the triangle and c is the hypotenuse.  Thus, because a=6 and b=8, 36+64=c².  Thus 100=c².  Thus 10=c

Answer:

y-int = C/B

Step-by-step explanation:

Ax + By = C

y-int = C/B

Answer:

I hope this helps.

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

Buying the jeans for $27 leaves you with ($60 - $27), or $33.

Buying the shirt for s dollar leaves you with $15.  To find s, the price of the shirt, you subtract $15 from $33:  $18.

The shirt cost you $18.

Answer:

Step-by-step explanation:

The Pythagorean theorem can be used to find the lengths of the segments at the top of the square. The left one is found from ...

  FA² = FE² +EA²

  13² -12² = EA² = 169 -144 = 25

  EA = √25 = 5

The right one is found from ...

  FB² = FE² +EB²

  15² -12² = EB² = 225 -144 = 81

  EB = √81 = 9

Then the length of the side of the square is ...

  AB = AE +EB = 5 +9

  AB = 14

__

The length of the diagonal can also be found using the Pythagorean theorem.

 AC² = AB² +BC² = 14² +14²

 AC = √(196 +196) = 14√2 ≈ 19.7990

Rounded to the nearest integer, AC ≈ 20.

Answer:

The correct answer option is: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Answer:show the table so I can help

Step-by-step explanation:

Answer:

A. f(1)=9, f(n+1)=f(n)-4 for n> or equal to 1

Step-by-step explanation:

Given the sequence:

We can easily calculate the difference of terms:

As the difference of terms is same and equal to -4, it is the AP (arithmetic progression)

This sequence can be defined In the form of function as:

All the above matches the first answer choice:

Answer:

3/4

Step-by-step explanation:

The numbers odd or less than 3 are 2, 3, and 5.

3 numbers out of 4.

P(odd or less than 3) = 3/4

Answer:

Step-by-step explanation:

1l ........8.5 miles

x l .......6 miles

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

x=6*1/8.5

x=0.70 l

2*0.7=1.4 l petrol/day ( to work and come back home)

5*1.4=7 l/week ( 5 days works in a week)

7*1.26=8.82 L /week

8.82>8.5

The petrol costs more

So the answer is NO

Answer:

  (3.6, 0), (0, -2)

Step-by-step explanation:

To find the y-intercept, set x=0:

  -5·0 +9y = -18

  y = -18/9 = -2

To find the x-intercept, set y=0:

  -5x +9·0 = -18

  x = -18/-5 = 3.6

The intercepts are ...

  x-intercept: 3.6

  y-intercept: -2

Answer:

4,2,1 and 1/2

Step-by-step explanation:

The first term is 4 since A(1)=4

● A(2) = (1/2)*A(1) = (1/2)*4 = 2

So the second term is 2

● A(3) = (1/2)*A(2) = (1/2)*2= 1

The third term is 1

●A(4) = (1/2)*A(3) = (1/2) *1 = 1

Answer: y=x+1

Step-by-step explanation:

y+1=1(x+2)

y+1=x+2

y=x+1

Hope this helps:)

Answer:

56%

Step-by-step explanation:

We have a grid with 10 columns and 10 rows making 100 equal sized squares, they tell us that 5 rows are unshaded. Therefore half is unshaded, like so:

5 rows = 50 squares

They also tell us that the sixth row has 6 squares unshaded, which means that in total they would be:

 50 + 6 = 56 squares

Knowing that the total is 100, the percentage would be:

56/100 = 0.56, that is, 56% are unshaded

Answer:

A) 90

B) The individuals in the survey will be 11, 101, 191,...., 2621.

Step-by-step explanation:

Tenemos lo siguiente a partir del enuciado:

A) let, a consider a department has an alphabetical list of all 2708 employees at company and wants to conduct a systematic sample. Substitute the value as:

k = N/n

reemplanzado nos queda:

k = 2708/30 = 90.26

Lo que quiere decir que el valor de k es de aproximadamente 90 B) Randomly select the number between I and 90, Suppose the randomly selected sumber is 11. The individuals in the survey will be; need to find 30th team, hence by using the airthmetic perogression nth term formula:

30th term = 11+ (30 - 1) *90

30th term = 2621

The individuals in the survey will be 11, 101, 191,...., 2621.

The random sample is obtained

Answer:

data bar

Step-by-step explanation:

Answer:

chart

Step-by-step explanation:

Answer:

step 1

Step-by-step explanation:

when you say three less than the quotient

you put the quotient first and then subtract 3

Answer: Step 1

Step-by-step explanation: I took it on my quiz and got an 100

Answer:

  A'Y' is parallel to AY

Step-by-step explanation:

If X is the center of dilation, the only lines that go through X after the dilation are the ones that go through X before the dilation: XY (and XY'), XZ (and XZ').

Line AY does not go through X, so A'Y' will not go through X. Rather, the line will be moved a distance from X according to the dilation factor. The line A'Y' will be parallel to AY.

Answer:

138 pound

Step-by-step explanation:

Given

A certain medicine is given in an amount proportional to a patients body weight.

thus,

ratio will be

amount of medicine: weight of patient

Given

Suppose a person weighted 104 pounds requires 156 milligrams of medicine.

amount of medicine = 156 milligram

weight of patient = 104 pound

Thus, ratio will be = 156/104

___________________________

What is the weight of a patient who requires 207 milligrams of medicine

Let the weight of weight of patient here be x

thus, ratio in this case will be

207/x

we also know in ratio and proportion that

if two ratio a:b and c:d are equal then a:c = c:d

here also the ratio will be same

Thus,

156/104 = 207/x

=> 156x = 207*104 = 21,528

=> x = 21,528/156 = 138

Thus, weight of patient is 138 pound.

Step-by-step explanation:

Sample proportion [tex]\hat{p} = 260/380 = 0.684[/tex]

90% confidence interval for p is

[tex]\hat{p} - Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n) < p < \hat{p} + Z\times \sqrt(\hat{p}( 1 - \hat{p}) / n)[/tex]

[tex]0.684 - 1.645\times \sqrt ( 1 -0.684) / 380) < P < 0.684 + 1.645\times \sqrt ( 1 -0.684) / 380)[/tex]

0.645 < p < 0.723

Interpretation - We estimate with 90% confidence that the true population proportion of people who plan  on voting yes on the levy between 0.645 and 0.723.