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
oksian1 [2.3K]
3 years ago
7

The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability

that the average age of a randomly selected sample of 100 students will be less than 21.8 years
Mathematics
1 answer:
Marianna [84]3 years ago
3 0

Answer:

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

Step-by-step explanation:

According to the given data we have the following:

mean = μ= 22

standard deviation = σ = 2

n = 100

μx = 22

σx=σ/√n=2/√100=0.2

Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2

=P(z<-1)

= 0.159

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

You might be interested in
0 = −5n − 2n How do I solve this
masha68 [24]
Combine like terms and then divide out the coefficient to solve for n
8 0
2 years ago
A regular hexagon has a radius of 20 in. what is the approximate area of the hexagon
soldier1979 [14.2K]

Remark

You need 2 facts to solve this 

1.   The area of a hexagon is 

     A = 3*(sqrt(3) ) * a^2/2 

     Just to make this clear, I'll put it in Latex

Area = (3*\sqrt3 a^2)/ 2

2. The second fact you need to know is that the radius = the length of the side a.

Givens

r = 20 in

a = r where a is the length of the side of a hexagon.

Formula Substitute and solve.

A = 3*(sqrt(3) * a^2 ) / 2

A = 3*(sqrt(3) * 20^2) / 2

A = 3*sqrt(3) * 400 / 2

A = 3*sqrt(3) * 200

A = 3*1.7321 * 200

A = 1039 square inches.

4 0
3 years ago
Read 2 more answers
Please help me ASAP!!!!!!!!!!!!!!
earnstyle [38]

Answer:

7 Celsius

Step-by-step explanation:

Initial temperature at 12pm is 1 Celsius.

Rises by 6 (add by 6).

3 0
3 years ago
Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, M for mush
SashulF [63]

Answer: He can make 36 different salds

Step-by-step explanation:

3 0
2 years ago
Are the following equations equivalent why or why not Branilist for people who explain
wariber [46]

Answer:

Yes, they are equivilant

Step-by-step explanation:

5(3m+2p)-4m = 13p+11m-3p

Distribute 5: 15m+10p-4m = 13p+11m-3p

Combine like terms: 15m+(-4m) = 11m ; 13p+(-3p) = 10p

11m+10p = 11m+10p

6 0
2 years ago
Other questions:
  • Write the number with the same value as 32 tens
    9·2 answers
  • X ⋅ x ⋅ x ⋅ x ⋅ x = ?
    15·2 answers
  • Fred lives in Rhode Island and pays 7% in sales tax. If he just
    14·1 answer
  • What is the standard form of the equation of the circle in the graph
    7·2 answers
  • How many times greater is the value of 3 in the product of 34 × 10000 in the value of 3 in 34
    8·1 answer
  • 3X +17+ 5X equals 7X +10
    6·2 answers
  • As an estimation we are told £3 is €4. Convert €36 to pounds.
    14·1 answer
  • (NO LINKS) <br><br> Please help this assignment is over due and I don't get it thx ;)
    15·1 answer
  • 15b.) If the paint costs $6,50 a gallon and each gallon
    6·1 answer
  • If the discriminant is negative then the quadratic has
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!