Full‐me Ph.D. students receive an average of $12,837 per year. If the
average salaries are normally distributed with a standard deviation of $1500, find these
probabilities.
a. A student makes more than $15,000.
b. A group of 36 students makes between $13,000 and $14,000.

Answers

Answer 1

Answer:

.0022

Step-by-step explanation:


Related Questions

PLEASE HELP IF I DONT DO THIS
TOMORROW I DONT GRADUATE

Next we will draw in each deviation from the mean.
Now, think about the average size (length) of all of those deviations, and use this as an estimate for the size of the
Standard Deviation. Don't worry about whether the deviation is to the left or right of the mean. Just consider all of
the lengths. Draw the length of the standard deviation below.

Answers

The standard deviation is a measure of a collection of values' variance or dispersion. The standard deviation of the below graph can be drawn as shown below.

What is a standard deviation?

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

The standard deviation of the below graph can be drawn as shown below.

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What is the square root of A=121 ft2

Answers

The result of the square root of the equation A = 121 ft² is √A = 11 ft

What are square roots?

Square roots are numbers multiplied by itself to give another number

How to determine the square root?

The equation is given as:

A = 121 ft²

Take the square root of both sides

√A = √121 ft²

Evaluate the square root

√A = 11 ft

Hence, the square root of the equation A = 121 ft² is √A = 11 ft

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Angie read 2 books in 5 days, and each book contained 330 pages. If Angie read the same number of pages each day, how many
pages did she read per day?
A. 73
В. 330
C. 132
D. 660

Answers

Answer:

C. 132

Step-by-step explanation:

330 x 2(books) = 660(total pages)

Multiply. 132(pages?) x 5(days)

= 660

6 minus the diffrence x and 3

Answers

Answer: It's 3

The sum of 6 and 3 divided by the difference of 6 minus 3

Step-by-step explanation:

The sum of 6 and 3: 6+3The difference of 6 minus 3: 6-3The sum of 6 and 3 divided by the difference of 6 minus 3:

I hope this helps :) [tex]\frac{6}{3} \frac{6}{3} =\frac{9}{3} =3[/tex]

. Bri replaced the window blinds on 42 of the 60 windows in the library. Which percent
is equivalent to

Answers

Answer:

70%

Step-by-step explanation:

42/60 x 100 = 70%

which relation is a function

Answers

Top Right

the V shape

if A=-3+5i, B=4-2i and C=1+6i, where i is imaginary unit, then A-BC equals to what?

Answers

Multiplication is the process of multiplying. The value of A-BC is equal to -19-17i.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The value of BC is,

BC = (4-2i)×(1+6i)

BC = 4 + 24i - 2i -12i²

BC = 4 + 22i - 12(-1)

BC = 4 + 22i +12

BC = 16 + 22i

Now, the value of A-BC will be equal to,

A-BC = (-3+5i)-(16+22i)

         = -3+5i-16-22i

         = -19 - 17i

Hence, the value of A-BC is equal to -19-17i.

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marking brainliest
please help!!!!

Answers

x = 4.8 cm

You have to find the height then use the height to find the x value

Hi!
I am not quite sure the formula I am supposed to use for this or where each piece of information belongs. How would I solve this question?

Jeff Krause purchased 1,000 shares of a speculative stock in January for $1.89 per share. Six months​ later, he sold them for $9.26 per share. He uses an online broker that charges him $10.00 per trade. What was​ Jeff's annualized HPR on this​ investment?

Thanks!

Answers

Based on the price he purchased the stock and the amount he sold them for, Jeff's annualized HPR on the investment is 2,395%.

How much is Jeff's annualized HPR?

First find the net profit:

= (1,000 x 9.26) - (1,000 x 1.89) - 10

= $7,360

The HPR is:

= 7,360 / (1,000 x 1.89)

= 389.4%

The annualized HPR is:

= (1 + 389.4%)² - 1

= 2,395%

Note: Taken to the power of 2 because there are two six-month periods in a year.

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erica earned a total of $67,850 last year from her two jobs.the anount she earned from her job at the store was $1,450 more than three times the amount she earned from her job at the college.how much did she earn in dollars from ger job at the college?

Answers

Answer:

Step-by-step explanation:

Which of the following sets of whole numbers represents all the odd three-digit numbers that have a 4 in the hundreds place and a 7 in the tens place?
741; 743; 745; 747; 749
470; 472; 474; 476; 478
740; 742; 744; 746; 748
471; 473; 475; 477; 479

Answers

Answer:

D) 471, 473, 475, 477, 479

Step-by-step explanation:

Lets say the three-digit number is ABC.

4 in the hundreds place, thus A = 4

7 in the tens place, thus B = 7.

The number is odd, therefore C = {1, 3, 5, 7, 9}

There are five possible solutions for three-digit number ABC = {471, 473, 475, 477, 479}

Please Help! Brainliest is available to the best Answer!

Which of the following correlation coefficients best represent the given scatter plot

Answers

Answer:

C

Step-by-step explanation:

Evaluating the options :

a : 0.01

Not the likely option because it is very close to 0, indicating there is no correlrationBut from the graph we understand there is a positive correlation

So, it comes down to :

(b) 0.51 or (c) 0.98

If we try and plot a line of best fit, we will obtain a line that passes through the origin and seems similar to y = x.

Hence, the best option is C

A placebo is a medically ineffectual treatment that looks like a real treatment. Sometimes patients given a placebo treatment, unaware of the fact that it is indeed a placebo, will have a perceived or actual improvement in their condition. This phenomenon is commonly called the placebo effect.
A group of doctors was interested in comparing the effectiveness of placebo pills (made of sugar) and real pills in treating migraines. They randomly assigned a group of 300 patients suffering from migraines into two groups. One group was given a real pill and the other was given a placebo. Both groups were told which kind of pill they got.
Before taking the pills, and a day afterwards, the patients were asked to fill out questionnaires regarding their condition. Then, the doctors analyzed the overall changes in questionnaires for each group and compared them.

What type of statistical study did the doctors use?
A. Sample Study
B. Experiment
C. Observational Study

Is the study appropriate for the statistical questions it's supposed to answer?
A. Yes, because the patients filled the same questionnaire before and after taking the pills.
B. No, because telling patients about the pills introduces bias.
C. Yes, because the patients were randomized between the two groups.
D. No, because we don’t know how effective the real pills are.

Answers

Experimental studies were the type of statistical study used by doctors in research on comparing placebo pills with real pills.

The study carried out is not appropriate for the statistical questions that must be answered, because telling patients about the pills introduces bias.

What is an experimental study?

It is a method of scientific research in which there is the introduction of an intervention by the researchers, in which the resulting effects will be objects of study.

Therefore, in an experimental study there will be randomization of participants, who will be randomly grouped into a group to carry out the controlled trial.

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Answer: Experiment

No, because telling patients about the pills introduces bias

Give me the right answer this time pls ♥️.

Answers

Answer:

10 and please:

please see photo for detailed analysis

seth claims that the equation h(x) = 3coz (pi/4(x - 2)) + 3 will model the behavior of a rocking chair just as well as g(x) = 3sin (pi/4x)+3. Use a graphic utility to determine if Seth was correct

A. Yes

B. No

Answers

Answer:

yes

Step-by-step explanation:

I just took the assignment and got a 100%

A design for a garden is composed of a triangle and 2 rectangles. Some side lengths of the garden design are shown.

What is the area of the garden in square feet?

Answers

Answer:

215.625square feet

Step-by-step explanation:

area rectangle = l x w = 7.5x12.5

area triangle = ½ x b x h = ½x 7.5 x 7.5

area of shape = 93.75+93.75+28.125= 215.625square feet

Find sin 2x if cos x=-2/3 and x is in quadrant 2

Answers

Answer:

-4√5/9.

Step-by-step explanation:

if cos x = -2/3 then sin x = √(1 - (-2/3)^2)

= √(5/9)

= √5/3.

(As x is in quadrant 2 sin x is positive).

So:

sin2x = 2 sin x cos x

         = 2 * √5/3 * -2/3

          =  -4/3 * √5/3

          =  -4√5/9.

find the local maximum and minimum values using the Second Derivative Test.​

Answers

Answer:

Find the first and second derivatives:

[tex]\begin{aligned}f(x) & =-x-\dfrac{9}{x}\\& =-x-9x^{-1}\\\\\implies f'(x) & =-1-(-1)9x^{(-1-1)}\\ & =-1+9x^{-2}\\ & = -1+\dfrac{9}{x^2}\\\\\implies f''(x) & = 0+(-2)9x^{(-2-1)}\\& = -18x^{-3}\\& = -\dfrac{18}{x^3}\end{aligned}[/tex]

To find the stationary points (local minimum and maximum) set the first derivative to zero and solve for x:

[tex]\begin{aligned}f'(x) & = 0 \\\\\implies -1+\dfrac{9}{x^2} & = 0 \\\\\dfrac{9}{x^2} & = 1 \\\\9 & =x^2\\\\\implies x & = \pm 3\end{aligned}[/tex]

To determine the type of stationary points, input the found values of x into the second derivative.

[tex]f''(3)=-\dfrac{18}{3^3}=-\dfrac{2}{3} < 0 \implies \textsf{maximum}[/tex]

[tex]f''(-3)=-\dfrac{18}{(-3)^3}=\dfrac{2}{3} > 0 \implies \textsf{minimum}[/tex]

Finally, to find the y-values of the stationary points, input the found values of x into the original function:

[tex]f(3)=-3-\dfrac{9}{3}=-6 \implies (3,-6)[/tex]

[tex]f(-3)=-(-3)-\dfrac{9}{-3}=6 \implies (-3,6)[/tex]

Therefore:

[tex]\large \begin{array}{ r | r | c | c }\textsf{At} \: x= & \textsf{and} \: y= & \textsf{sign of} \: f''(x) & \textsf{conclusion}\\ \cline{1-4} -3 & 6 & + & \textsf{minimum} \\ \cline{1-4} 3 & -6 & - & \textsf{maximum}\end{array}[/tex]

establish the exact displacement expression and shape functions for the given tapered axial member. Formulate the relevant stiffness matrix

Answers

The displacement is represented from the starting position to the final position.

What is displacement?

Your information is incomplete. Therefore, an overview of displacement will be given. It should be noted that displacement simply means a vector whose length is the shortest distance from the initial position to the final position.

In this case, the displacement will be:

= Final position - Initial position

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A rectangular park has a perimeter of 374 feet and a length of 65 feet.

What is the width of the park?

Answers

Answer:

122 feet

Step-by-step explanation:

We know that the length of the park is 65 feet long and the park is rectangular. Therefore we add 65+65 to find the total of both length sides.

65+65=130

Next we subtract 130 from the total amount of 374 to find the total of both width sides.

374-130=244

Now we divide what is left by 2 to find the width of an individual side.

244÷2=122

The width is 122.

Check your answer by inserting the numbers into the equation for perimeter.

P=2W+2L

374=(2×65)+(2×122)

374=130+244

374=374

James uses of a cup of sugar in his cookies, and Jade uses of a cup of sugar in her cookies. Noel takes the sum of the two amounts of sugar and divides it into two equal portions, planning to use only one portion of it in his cookies. How much sugar does Noel use in his cookies?

Answers

Answer:

5/8 of a cup

Step-by-step explanation:

use the figure to answe the question

Answers

Step-by-step explanation:

Where is the Question?

Can't answer without question

The ratio of side lengths for two similar cubes is 2/5.

Determine the ratios for each of the following.

the perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube

the total surface area of the smaller cube compared to the total surface area of the larger cube

the volume of the smaller cube compared to the volume of the larger cube

Answers

Explanation:

ratio of two cubes: 2 : 5

Perimeter of one face of cube: 4 × side

For small cube: 4 × 2 = 8

For big cube: 4 × 5 = 20

Ratio of perimeter of one face: 8 : 20 = 2 : 5

Total surface area of cube: 6a²

For small cube: 6(2)² = 24

For big cube: 6(5)² = 150

Ratio of total surface area: 24 : 150 = 4 : 25

Volume of cube: a³

For small cube: (2)³ = 8

For big cube: (5)³ = 125

Ratio of volume: 8 : 125

#1

Perimeter=4a

Find ratio

4(2)/4(5)8/202/52:5

Samd

#2

TSA=6a²

6(2)²/6(5)²4/254:25

#3

Volume=a³

2³/5³8/125

Why should a person care about his or her credit report?

Answers

Answer:

Checking your credit history and credit scores can help you better understand your current credit position. Regularly checking your credit reports can help you be more aware of what lenders may see. Checking your credit reports can also help you detect any inaccurate or incomplete information.

Step-by-step explanation:

hope this helps if not let me know have a blessed day


The length of each of the two congruent sides of an isosceles triangle
is 2n +7 and the length of the third side is 3n

Draw and label the isosceles triangle.

Answers

Answer:

To find the perimeter you add the length of all sides.

1). 2n + 7 + 2n + 7 + 3n = perimeter

2). 2(2n + 7) + 3n = perimeter

Step-by-step explanation:

Hope this helps!! :)

find all solutions
36x²+12x=0

Answers

Answer:

x = -1/3 or 0

Step-by-step explanation:

Given equation:

[tex]36x^{2} + 12x = 0[/tex]

We can factor 12x on the L.H.S since 12x is divisible by 36x² and 12x.

[tex]\implies 36x^{2} + 12x = 0[/tex]

[tex]\implies 12x(3x + 1) = 0[/tex]

This can lead to two solutions. I have listed them below!

Solution 1:

Divide 12x on both sides to open the parentheses.

[tex]\implies 12x(3x + 1) = 0[/tex]

[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]

Note: zero divided by any non-zero number is 0.

[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]

[tex]\implies 3x + 1 = 0[/tex]

Isolate 3x on one side of the equation.

[tex]\implies 3x + 1 = 0[/tex]

[tex]\implies 3x = 0 - 1[/tex]

[tex]\implies 3x = -1[/tex]

Divide 3 both sides to determine the value of x.

[tex]\implies 3x = -1[/tex]

[tex]\implies \dfrac{3x}{3} = \dfrac{-1}{3}[/tex]

[tex]\implies \boxed{x = \dfrac{-1}{3}}[/tex]

Solution 2:

Divide (3x + 1) on both sides to isolate 12x.

[tex]\implies 12x(3x + 1) = 0[/tex]

[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]

Note: zero divided by any non-zero number is 0.

[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]

[tex]\implies 12x = 0[/tex]

Divide 12 both sides to determine the value of x.

[tex]\implies 12x = 0[/tex]

[tex]\implies \dfrac{12x}{12} = \dfrac{0}{12}[/tex]

[tex]\implies \boxed{x = 0}[/tex]

Therefore, the solutions for x are -1/3 or 0.

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Answer:

x = 0  or  x = -1/3

Step-by-step explanation:

In the equation 36x²+12x=0 we have :

36x² = 6x × (6x)

12x = 2 × (6x)

This means that 6x is a common factor,so let’s factor :

36x²+12x=0

⇔ 6x × (6x) + 2 × (6x) = 0

⇔ 6x × (6x + 2) = 0

⇔ 6x = 0  or  6x + 2 = 0

⇔ x = 0  or  x = -2/6

Whát are the quotient and remainder of (x^5-x^3 +1-5) / (x - 2)?
a. x + 2x2 + 9x + 13; 21
x + 2x2 + 3x + 6x + 13; -21
b. x + 2x + 3x2 + 6x + 13; 12
d. + 2x2 + 3x2 + 6x + 13:21

Answers

Answer:

x⁴+2x³ +3x²+6x +12r is the answer

why x^2=16 and x^2=-16 do not have the same solution

Answers

Step-by-step explanation:

x^2 = 16

x = ±4

x^2 = -16

x = -

as a negative number cannot be squareroot

Part A: Which polynomial below is a fourth-degree polynomial in standard form? Explain how you know it is a fourth-degree polynomial and how do you know it’s in standard form.

(Image Below)

Part B: Explain the closure property as it relates to polynomials and give an example.

Answers

In the given question, all the equations are fourth degree polynomial because they all have the highest power of 4

What is degree of polynomial?

A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.

In the given question, all the equation are fourth degree polynomial

2x^3 -3x^2 + 1 + 5x^45x^4 + 2x^3 -3x^2 + 1-3x^2 + 1 + 5x^4 + 2x^31 - 3x^2 + 2x^3 + 5x^4

What closure property relates here is that when we add two different polynomial, the result will definitely be a polynomial.

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Which of the following integers is least?

A
-5 + (-2)

B
-5 ÷ (-2)

C
-5 × (-2)

D
-5

Answers

Answer:

A) -7 is the least

Step-by-step explanation:

A)  (-5) + (-2) = (-7)

If two numbers have same sign, add and the result will have the common sign.

b) (-5) ÷ (-2) = 2.5

In division negative number divided by another negative number will give a positive number.

c) (-5)*(-2) = 10

In multiplication multiplication of two negative numbers will give a positive number.

d) = -5

In these (-7) is the least integer

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