1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mafiozo [28]
3 years ago
7

Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a recent year. suppose a samp

le of 100 major league players was taken. find the approximate probability that the mean salary of the 100 players exceeded $4.0 million.
Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0
Given:
μ = $3.26 million, averaged salary
σ = $1.2 million, standard deviation
n = 100, sample size.

Let x = random test value
We want to determine P(x>4).

Calculate z-score.
z = (x - μ)/ (σ/√n) = (4 - 3.26)/(1.2/10) = 6.1667

From standard tables,
P(z<6.1667) = 1
The area under the distribution curve = 1.
Therefore
P(z>6.1667) = 1 - P(z<=6.1667) = 1 - 1 = 0

Answer: The probability is 0.

You might be interested in
What is 63 over 75 as a decimal?
marissa [1.9K]

Answer:

0.84

Step-by-step explanation:

Use a calculator.  That would be 0.84.

                               3*21

Note that 63/75 = ---------- = 21/25.  Multiplying top and bottom by 4 results

                                3/25                   in 0.84 (so this answer checks out ok)

3 0
4 years ago
farmer pisquet started with 65 dubbles on his farm. every day, he exploded 1 more of them. farmer joogh started with 10 dubbles
slava [35]

Answer:

Orange chicken

Step-by-step explanation:

8 0
3 years ago
Jacey obtains a 30-year 6/2 ARM at 4% with a 2/6 cap structure in the amount of $224,500. What is the monthly payment during the
beks73 [17]
In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula: m= \frac{P( \frac{r}{12}) }{1-(1+ \frac{r}{12})^{-12t}  }
where
m is the monthly payment
P is the amount
r is the interest rate in decimal form 
t is the number years

First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
\frac{4}{100} =0.04
We also know from our question that P=224500 and t=30, so lets replace those values into our formula to find the monthly payment:
m= \frac{224500( \frac{0.04}{12}) }{1-(1+ \frac{0.04}{12})^{-(12)(30)}  }
m=1071.80

We can conclude that the monthly payment during the initial period is $1071.58<span />
7 0
4 years ago
Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his origina
Katena32 [7]

Answer:

The amount spent on the refrigerator is $ 800 .

Step-by-step explanation:

Given as :

The amount spent on television = $ 1600

Le The total amount in the account = $ A

so, The amount left in account after spent on television = $ A - $ 1600

The amount spent on refrigerator = \frac{2}{5} × ( A - 1600 )

The amount left in his saving account = \frac{1}{3} × A

Now, According to question

A - ( 1600 +  \frac{2}{5} × ( A - 1600 ) ) =  \frac{1}{3} × A

Or, A -  \frac{1}{3} × A = 1600 +   \frac{2}{5} × ( A - 1600 )

Or, \frac{2}{3} × A = 1600 + \frac{2}{5} × A - \frac{2}{5} × 1600

or,  \frac{2}{3} × A -  \frac{2}{5} × A = 1600 - 640

Or,  \frac{10 - 6 }{15} × A = 960

or,  \frac{4}{15} × A = 960

∴ A = \frac{960\times 15}{4}

I.e A = 3600

So, The amount in the saving account  is $3600

∵ , The amount spent on refrigerator = \frac{2}{5} × ( 3600 - 1600 )

Or,  The amount spent on refrigerator = \frac{2}{5} × 2000

I.e  The amount spent on refrigerator = $ 800

Hence The amount spent on the refrigerator is $ 800 . Answer

4 0
4 years ago
I need help with this please
Harlamova29_29 [7]
-12y+14-9y=14
-21y=0
y=0, x=7
3 0
3 years ago
Other questions:
  • Plzzzzz help meee!?!?!?!?
    10·1 answer
  • What expression is equivalent to 10x^6y^12/-5x^-2y^-6?
    8·1 answer
  • suppose a compact car uses 1 gallon of fuel for every 27 miles traveled. how would the graph for the compact car compare to the
    5·1 answer
  • The exponent on variable z is _____
    12·1 answer
  • 41/8 - 1/3 = what????​
    11·2 answers
  • Can someone help me out pls <br> Last answer is (not here)
    13·2 answers
  • Find the volume of the rectangular prism.
    8·1 answer
  • An art teacher is distributing supplies for the community center art class. Every fourth student gets a tube of paint. Every sev
    8·1 answer
  • Solve for x.<br><br> x - 13 =-7
    13·2 answers
  • assume the camera is placed 6 feet from the center of the merry-go-round and the diameter of the merry-go-round is 6 feet. build
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!