Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a certain year in the past. Suppose a sample of 100 major league players was taken. The probability that the mean salary of the 100 players exceeded $3.26 million is:________a. 0.0228b. 0.9772c. approximately 1d. approximately 0

Answers

Answer 1

Answer:

b) 0.0228

Step-by-step explanation:

We use the z score formula when given random number of samples =

z = (x-μ)/σ/√n where

x is the raw score = $3.5 million

μ is the population mean = $3.26 million

σ is the population standard deviation = $ 1.2 million

n = random number samples = 100

Hence,

z = 3.5 - 32.6/1.2/√100

z = 3.5 - 32.6/1.2/10

z = 3.5 - 3.26/0.12

z =2

Probability value from Z-Table:

P(x<3.5) = 0.97725

P(x>3.5) = 1 - P(x<3.5)

P(x>3.5) = 1 - 0.97725

P(x > 3.5) = 0.02275

Approximately ≈ 0.02278

The approximate probability that the mean salary of the 100 players exceeded $3.5 million is 0.02278


Related Questions

Please help thanks :)

Answers

Answer:

Distributive Property

Step-by-step explanation:

[tex]x(8x+3y)\\We\ multiply\ the\ term\ outside\ brackets\ with\ terms\ inside\ the\ bracket\ equally,\\through\ the\ distributive\ property\ method\ .\\\\Hence,\\x(8x+3y)\\=8x*x+3y*x\\=8x^2+3xy[/tex]

Which is the net force acting on a 1.7-kg object that is accelerating at 5.0 m/s??

A. 8.5 N

B. 2.9 N

C. 0.34 N

D. 3.3 N

Answers

Answer:

A. 8.5 N

Step-by-step explanation: F = 8.5 N

if 3(2x-4)=-36 ,the value of x is

Answers

Answer:

x = -4

Step-by-step explanation:

Answer:-4

Step-by-step explanation:

Which rate is the lowest price?
$3.00/6 lb
$2.50/5 lb
$2.40/4 lb
$2.40/6 lb

Answers

2.40/6 I believe tell me if it is right
$3.00/6=2
$2.50/2=2
$2.40/4=.60
$2.40/6=.40 this is the lowest price

What is one hundred times greater than 40?

Answers

100 + 40 = 140
140 is 100 times greater than 40

Solve the equation and describe what your answer. What happens? 5x-7=2x+1+3x

Answers

You combined like terms

Answer: The Answer is 0

Step-by-step explanation:

The key here is combining like terms. Here:

1) 5x-7=2x+1+3x

2) 5x-7=5x+1

Then you add 7 to both sides anywhere that there is no variable. You also subtract 5x to the other 5x

3) 0x=8

When you divide by zero on both sides, your answer should be 0

If f(x) = 2x^2 +1, complete the following:
a. f(-4)
b. f(-2)
c. f(0)
d. f(2)
e. f(4)

This is a timed test please i need help!!

Answers

Answer:

Sub the values in the brackets of each question into the equation

Step-by-step explanation:

eg. c. f(0) = 2(0)^2 + 1 = 1

determine if the relation is a function
(-1, 5), (0,3), (2,3), (3, -1)

Answers

Answer:

This relation IS a function

Answer:

This is a function

Step-by-step explanation:

Down below none of them overlap

There is no two points in the lines.

2 + 36 ÷ 12 - 6 = 8. where does the parenthesis go to make 8 the answer​

Answers

Answer:

The parenthesis go around the 12 and 6, just like this. (12 - 6)

Answer- 2 + 36 ÷ (12-6)

Can anyone help me with this question of m

Answers

Answer:

<DBC=31

Step-by-step explanation:

<ABC=<ABD+<DBC

125=94+<DBC

125-94=<DBC

31=<DBC

Suppose babies born in a large hospital have a mean weight of 3685 grams, and a variance of 330,625. If 113 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by greater than 50 grams? Round your answer to four decimal places.

Answers

its not greater than 50 grams. and the answer rounder to the four decimal places is 32.6106

Roses need 14 times as much water as irises to bloom. if irises need 12 milliliters of water to bloom, how much water do roses needs ​

Answers

Answer:

168 milliliters

Step-by-step explanation:

Since roses need 14 times as much water as irises and we are given the water irises need, you multiply them together.

14•12=168

Help me pleaseeeeeee

Answers

The answer is the second one

Explanation above

Answer:

The correct answer is "y = 3/4x"

Step-by-step explanation:

Slope-intercept form is y2-y1/x2-x1. If you place the points into slope-intercept form you get 6-3/8-4.  After reducing the fractions you will get 3/4. So the equation is y = 3/4x.

Find the present value of an annuity due that pays $4000 at the beginning of each quarter for the next 7 years. Assume that money is worth 6.2%, compounded quarterly. If $90,000 is invested in an annuity that earns 5.4%, compounded quarterly, what payments will it provide at the end of each quarter for the next 7 1/2 years?

Answers

Answer:

Step-by-step explanation:

From the first question:

We are to find PV of the annuity.

Using the formula:

Present value of Annuity  = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Where , Annuity Amount = $4,000            

n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF

r  = 6.2% / 4 quarters = 1.55%,

PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r }

= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }

= 1 + [ (1 - 0.66015 ) ] / 0.0155]

= 1 + 21.926

= 22.926

PVAF(28,1.55%) = 22.926

Thus , Present Value of Annuity = $4,000 × 22.926  = $91704.00

2. Present value of Annuity due = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)

Present Value of Annuity  = $90,000

n = No. of periods = 7.5 years × 4 quarters per year = 30 periods

r  = 5.4% / 4 quarters = 1.35%,

PVAF(n,r) = [1-(1+r)^-n]/r

PVAF(n,r) = [1-(1+0.0135)^ -30]/0.0135

PVAF(30,1.35%) = (1 - 0.6688)/0.0135

PVAF(30,1.35%) = 0.3312/0.0135

PVAF(30,1.35%) = 24.53

Hence ;

$90,000 = Annuity Amount × 24.53

Annuity amount = $90,000/24.53 = $3,668.48

Jason and 4 friends went bowling. Three friends rented shoes for $2 each. The total cost to rent the shoes and the lane fees was $42. What was the cost of the lane fees for each person?

Answers

the answer would be $7.20

Answer: 7.20$

Step-by-step explanation:

Since there are five people over all, and three of them bought shoes for 2$, you would take 2$ Times that by 3 = 6$, now take that 6$ and subtract that by the 42$, leaving you with 36$ left. Take that 36$ and divide it among the 5 people and you get 7.20$ for a lane

What is the maximum for: P = 3x + 2y

Answers

Answer:

The maximum value of the function P= 3x + 2y

There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.

Point O is found in x = 0 ; y = 0 or (0,0)

Point A is found in x = 8 ; y = 0 or (8,0)

Point B is found in x = 6 ; y = 5 or (6,5)

Point C is found in x = 0 ; y = 8 or (0,8)

We will substitute x and y in the equation by its values per point.

Point A = 3(8) + 2(0) = 24 + 0 = 24

Point B = 3(6) + 2(5) = 18 + 10 = 28

Point C = 3(0) + 2(8) = 0 + 16 = 16

Solve this system for m and b 342=23m+b 147=10m+b

Answers

Answer:

b = − 3

m = 5 ( 39 + 2 m ) /23

1. m= 342-b/23
2.m= 147-b/10

Which of the following describes the roots of the polynomial function f (x) = (x + 2) squared (x minus 4) (x + 1) cubed?
–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3
–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4
2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3
2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4

Answers

Answer:

A

Step-by-step explanation:

[tex]f(x) = (x + 2)^2(x-4)(x + 1)^3[/tex]

x+2=0

x+2-2=0-2

x=-2.....(x+2) was squared...exponent of 2...multiplicity of 2

x-4=0

x-4+4=0+4

x=4....(x-4) has no visible exponent which means it is essentially to the power of 1...multiplicity of 1

x+1=0

x+1-1=0-1

x=-1....(x+1) was cubed...exponent was 3...multiplicity of 3

The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct.

What are the roots of an equation?

The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

As per the given function,

f(x) = (x + 2)²(x - 4)(x + 1)³

The roots are the points at which the value of the function is zero.

f(x) = 0

(x + 2)²(x - 4)(x + 1)³ = 0

(x + 2)² = 0

x = -2 (with a multiplicity of 2)

(x - 4) = 0

x = 4  (with a multiplicity of 1)

(x + 1)³ = 0

x = -1  (with a multiplicity of 3)

Hence "The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct".

To learn more about the roots of equations,

https://brainly.com/question/12029673

#SPJ6

How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as mine is at least 2/3?

Answers

Answer:

At least 401 chosen guests

Step-by-step explanation:

Represent those with same birth day with Same

So:

[tex]P(Same) > \frac{2}{3}[/tex]

Represent number of people with n

There are 365 days in a year and 364 days out of these days is not your birthday.

So, there the probability that n people do not share your birthday is [tex](\frac{364}{365})^n[/tex]

i.e.

[tex]P(none) = (\frac{364}{365})^n[/tex]

Solving further, we have that:

[tex]P(same) + P(none) = 1[/tex]

[tex]P(same) + (\frac{364}{365})^n = 1[/tex]

[tex]P(same) = 1 - (\frac{364}{365})^n[/tex]

We're calculating the probability that [tex]P(Same) > \frac{2}{3}[/tex].

So, we have:

[tex]1 - (\frac{364}{365})^n > \frac{2}{3}[/tex]

Collect Like Terms

[tex]1 - \frac{2}{3}> (\frac{364}{365})^n[/tex]

[tex]\frac{3-2}{3}> (\frac{364}{365})^n[/tex]

[tex]\frac{1}{3}> (\frac{364}{365})^n[/tex]

[tex]3^{-1} > (\frac{364}{365})^n[/tex]

Take natural logarithm (ln) of both sides

[tex]ln(3^{-1}) > ln((\frac{364}{365})^n)[/tex]

[tex]-ln\ 3 > n\ ln\ (\frac{364}{365})[/tex]

Apply laws of logarithm

[tex]-ln\ 3 > n\ (ln(364) - ln(365))[/tex]

Multiply through by -1

[tex]ln\ 3 < n\ (ln(365) - ln(364))[/tex]

Solve for n

[tex]\frac{ln\ 3}{(ln(365) - ln(364))} < n[/tex]

Reorder

[tex]n > \frac{ln\ 3}{(ln(365) - ln(364))}[/tex]

[tex]n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}[/tex]

[tex]n> \frac{1.09861228867}{0.00274348594}[/tex]

[tex]n > 400.443928891[/tex]

[tex]n > 400[/tex] (approximated)

This implies that n = 401, 402, 403 .....

i.e

[tex]n \geq 401[/tex]

So, at least 401 people has to be invited

Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.

Answers

Answer: 306 inches or 25.5 feet or 8.5 yards.

Step-by-step explanation:

Given: Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon.

1 feet = 12 inches

length of ribbon Tino has = 12 x 7.5 = 90 inches

1 yard = 36 inches

length of ribbon Baxter has = 3.5 x 36 = 126 inches

Total ribbon they have = (length of ribbon Carol has) + (length of ribbon Tino has) + (length of ribbon Baxter has)

= (90+90+126) inches

= 306 inches

In feet , Total ribbon = [tex]\dfrac{306}{12}\text{ feet}[/tex]   [tex][\text{ 1 inch}=\dfrac{1}{12}\text{ feet}][/tex]

[tex]=\text{25.5 feet}[/tex]

In yards, Total ribbon =[tex]\dfrac{25.5}{3}\text{ yards}[/tex]    [tex][\text{1 feet}=\dfrac{1}{3}\text{ yard}][/tex]

[tex]=\text{ 8.5 yards}[/tex]

Hence, the total length of ribbon the three friends have is 306 inches or 25.5 feet or 8.5 yards.

Linear equation: -1 (6x + (6x + 10) = 13
Step 1: -3x - 5 = 13
Step 2: -3x = 18
Step 3: x= -6

Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the division property of equality
O the addition property of equality and then the multiplication property of equality
O the subtraction property of equality and then the division property of equality
O the subtraction property of equality and then the multiplication property of equality

Answers

Answer:

the addition property of equality and then the division property of equality

1. Adding decimals is very similar to adding___________.
2.Line up the number vertically so that all the decimal points are_______.
3. Add extra______to the right of the number so that each number has the same number of digits to the right of the decimal point.
4. Place the______________of the result in line with the other decimal points.

Answers

Answers:

1. Adding decimals is very similar to adding whole numbers.

2. Line up the number vertically so that all the decimal points are aligned.

3. Add extra zeros to the right of he number so that each number has the same number of digits the right of the decimal point.

4. Place the decimal point of the result in line with the other decimal points.

I hope this helped you. If it is please click the thanks button. Thank You, Bye! ;-D

1. Adding decimals is very similar to adding whole numbers.

2. Line up the number vertically so that all the decimal points are aligned.

3. Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal point.

4. Place the decimal point of the result in line with the other decimal points.

While adding two decimals.

First, the decimals numbers are written under each other so that decimal points are lined up.The numbers are converted to like decimals by attaching the zeros. The number of zeros attached depends on the number with the maximum digits after the decimal point. The digits of each numbers are lined up so that each column contains digits in the same place. Addition is carried out the normal way by starting from the right to the left. The decimal point is then placed in the place as the numbers above it.

Learn more about decimal form here:

https://brainly.com/question/358789?referrer=searchResults

Learn more about decimal addition here:

https://brainly.com/question/13611222?referrer=searchResults

12

A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown

below where x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-

intercept

y=1.772-334

A. There were approacimately 334 eagle breeding pairs in 1986.

B. There were approximately 1.772 eagle breeding pairs in 1986.

c. There were approximately 1.772 additional eagle breeding pairs each year after 1986.

D. There were approximately 334 additional eagle breeding pairs each year after 1986

Answers

Complete question :

A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown

below, wiere x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-

intercept

y = 1.772 +334x

Answer:

B. There were approximately 1.772 eagle breeding pairs in 1986

Step-by-step explanation:

Given the regression equation : y = 1.772 +334x

Recall the general form of a linear regression equation :

y = mx + c

y = predicted variable ; x = predictor Variable ; c = intercept ; m = slope

x = number of years after 1986 ; y = number of bald eagle pairs.

The intercept is a constant value at time t = 0

For x to be 0, on a graph, this this the value on the y axis where the regression line crosses the y - axis. That is in 1986; the number of y when in 1986 when x = 0 is 1.772

Find the unknown
*
7.8-2.15

Answers

The unknown or the answer is 5.65

Bella is learning to type. She typed a letter to her teacher but misspelled 8 words. If she misspelled 25% of the words she typed. how many words did she type in her letter I'm taking a test I need this ASAP​

Answers

Answer:

She typed 32 words in her letter

Step-by-step explanation:

Assume that the letter has x words

She typed x words in her letter

∵ She misspelled 8 words

∵ She misspelled 25% of the words she typed

She misspelled 25% of x

→ That means 8 is equivalent to 25% of x

∴ 25% of x = 8

25% × x = 8

→ Change 25% to decimal by divide it by 100

∵ 25% = 25 ÷ 100 = 0.25

∴ 0.25 × x = 8

∴ 0.25x = 8

→ Divide both sides by 0.25

∵ [tex]\frac{0.25x}{0.25}[/tex] = [tex]\frac{8}{0.25}[/tex]

x = 32

∵ x represents the number of words that she typed in the letter

She typed 32 words in her letter

What is 2052 divided by 76

Answers

Answer:

27

Step-by-step explanation:

Answer:

Yes, by 27 times

Step-by-step explanation:

I hope it helps you

James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account. How much money was in the account after ​ ​ 2 1/2 ​ ​ years? Round your answer to the nearest cent.

Answers

Answer:

$654.06

Step-by-step explanation:

ジオメトリヘルプミープリーズは、速くて正しい場合に最も頭が良くなります

関係のドメインは? 1)関係の出力(y)値2)関係の入力(x)値3)入力値をペアにするポイントのセット…

f(x)= 16 – x ^ 2、g(x)= 4 –xとします。 (fg)(x)とその定義域を見つけます。

助けてくださいお願いします

助けてください

Answer: the answer would be 79.06

Step-by-step explanation:

If AABC = ADEC,
ZB = 48° and ZE = x + 4

Answers

Answer:

[tex]x = 44^\circ[/tex]

Step-by-step explanation:

Triangle Congruence

Given triangle ABC is congruent to triangle DEC, then it's true that angle ABC is congruent to angle DEC.

The figure shows that:

[tex]m\angle B = 48^\circ[/tex]

[tex]m\angle E = x + 4^\circ[/tex]

Those angles are congruent, or have the same measure, thus:

[tex]x + 4^\circ = 48^\circ[/tex]

Subtracting 4°:

[tex]x = 48^\circ - 4^\circ[/tex]

[tex]\mathbf{x = 44^\circ}[/tex]

Five of the 25 girls on Alden Middle School’s soccer team are seventh-grade students. Find the percentage of seventh graders on the team.

Answers

Answer:

20%

Step-by-step explanation:

5 divided by 25 multiplied by 100 will give you 20%.

I hope you understand

If the average price of a new one-family home is $246,300 with a standard deviation of $15,000, find the minimum and maximum prices of the houses that a contractor will build to satisfy the middle 60% of the market. Assume that the variable is normally distributed.

Answers

Answer:

Step-by-step explanation:

P(-a<z<a)=0.60, from the symmetry of normal distribution, P(z<a) = 0.60+ (1-0.60)/2 =

0.60+0.4/2

0.60+0.2

= 0.8

Considering the standard normal distribution table, we have a = 0.80, thus

z =(x-m)/std = 0.80

the maximum x = m + 0.80×std =

Where m = 246300

Std = 15000

246300+0.80×15000

= 246300+12000

= 258300

For the minimum x

x = m - 0.80×std

x = 246300-0.80×15000

246300-12000

= 234300

Other Questions
if you need help with Math:) Explain a strategy used by territorial empires in Eurasia to supervise vast imperial provinces between 1200 and 1450 CE 100 point Question. I need help ASAP!Match the following terms with their definitions. Match the items in the left column to the items in the right column.1. expressed or revealed deliverance 2. being an offspring of another person mercy 3. to change one's mind everlasting 4. compassion shown to someone alternative 5. the act of making or keeping separate violated 6. a choice distinction 7. to rescue heirs 8. unfair, unrighteous unjust 9. broken or disregarded manifested 10. ones who are entitled to receive inheritance immutable 11. capable of change attribute 12. the extreme ultimate 13. unchanging repentance 14. never ending descendant 15. part of God's nature, a quality of God variableness A cell phone costs $750 and loses 28% of its value each year. What is the value of the phone after 2 years? -2x-5=4 solve for x and please tell me how you got it Pedro and John are going on a field trip with school. Together the boys have $62 to spend on the trip. If Pedro has $15 more than John, how much money does John have? Write a function rule (equation) that represents the situation. Leanne runs on the treadmill and rides the exercise bike at the gym to stay in shape. She burns 15 calories per minute on the treadmill and 9 calories per minute on the bike. She wants to ride the bike 2.5 times as long as she runs on the treadmill and burn a total of 580 calories. The system of equations below can be used to find the number of minutes, t, she should run on the treadmill and the number of minutes, b, she should ride the bike.According to this system of equations, can Leanne meet both her goals? A. Yes, she can run on the treadmill for 15 minutes 28 seconds. B. No, she cannot ride the exercise bike a negative number of minutes. C. Yes, she can ride the exercise bike for 15 minutes 28 seconds. D. No, she cannot run on the treadmill for a fractional number of minutes. John wants to purchase a new motorcycle that costs $10,000 in five years. If John wants to have $10,000 in five years, how much would he have to deposit at the end of each of the next five years? I need help please!! Thomas was drowning in a sea of confusion.IS THIS A SIMILE OR METAPHOR what cannot be rational?? The sum of the squares of three consecutive integers is 50. Find the integers. (Hint: If one integer is x, the next consecutive positive integer is x + 1, and the third is x + 2. Simplify your answers completely. Enter your answers as a comma-separated list.) what is the meaning of the painting Blue and green music by Georgia O'keeffe? Solve for X[tex] \frac{x - 6}{2} = \frac{2 - x}{x} [/tex] do you agree or not that evidence is only used to back scientific laws and provide evidence why or why not!!!!!! thank you, will mark brainliest to whoever does it correct the 1st time what i asked!!!!!!!!!! How do the voyages of Christopher Columbus and the Columbian Exchange mark a turning point in the history of the Americas? Will mark brailiestWho is being described in this statement?The country was in chaos, but this scholar helped bring order to society through his teachings about family and government relationships, and the Golden Rule.AsokaSiddhartha GautamaConfuciusRamayana What is the most logical explanation for why kilo is a more important prefix to remember than ""tera"" (the metric prefix for 1 trillion)? Under what conditions can an object have forces acting on it, but its motion does not change ? What is the area of the following trapezoid 210 280 420 140