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
matrenka [14]
3 years ago
10

A study involves a population of 400 tall women. This population has a mean height of 179.832 cm and a standard deviation of 12.

192 cm. If 50 of these women are randomly selected, find the probability that the mean for this sample group is above 182.88
Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Answer:  0.0386

Step-by-step explanation:

Given: The population of 400 tall women has a mean height(\mu) of 179.832 cm and a standard deviation(\sigma) of 12.192 cm.

Let X be a random variable that represents the height of woman.

Sample size : n= 50

The probability that the mean for this sample group is above 182.88 will be :

P(\overline{X}>182.88)\\\\=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{182.88-179.832}{\dfrac{12.192}{\sqrt{50}}})\\\\ =P(Z>1.7678)\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(Z

Hence, Required probability =  0.0386

You might be interested in
Select yes or no to indicate whether a zero must be written in the dividend to find the quotient
neonofarm [45]

Answer:

2.25 divided by 0.6 : Yes and 5.2 divided by 8, 3.63 divided by 3, 71.1 divided by 9 : No

Step-by-step explanation:

We have that when two numbers are divided, they can be written in the form \frac{p}{q}, where p is the dividend and q is the divisor.

Now, when we divide 5.2 by 8, we can write \frac{5.2}{8}

Also, the division 3.63 by 3, can be written as \frac{3.63}{3} = 1.21

Further, when we divide 71.1 by 3, we can write \frac{71.1}{3} = 23.7

We can see that above divisions are easy divisions and do not require to write any type of 0 in the numerator.

Moreover, when we divide 2.25 by 0.6, we can write \frac{2.25}{0.6} = \frac{2.25\times 10}{6}.

So, we get that in the last division, we need to write a zero in order to multiply the numerator with 10 for easy division.

Hence, 2.25 divided by 0.6 : Yes and 5.2 divided by 8, 3.63 divided by 3, 71.1 divided by 9 : No

3 0
3 years ago
Mr. Ahmed has 9 water heaters for his apartment buildings. each heater weighs 32 kilograms. How many grams do all 9 water heater
iris [78.8K]
Multiply 32X 9 = 288kg

they asked you to convert the kilograms to grams so divide the 288kg by a 1000= 0.288grams 

8 0
3 years ago
A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?
Mandarinka [93]

Answer:

Length 6,  Width 2

Step-by-step explanation:

6x2 = 12 = Area

6+6+2+2= 16 = Perimeter

4 0
3 years ago
Read 2 more answers
−4x + y = 6<br> −5x − y = 21
Scorpion4ik [409]
You have in the first equation "+y" and in the second "-y"
So, you add the 2 equations, so we can remove this 2 letters since they're opposite numbers.
So, we get:
-4x + y -5x - y = 21 + 6
-4x -5x = 21 + 6

Then, you add
-4x -5x = 21 + 6
-9x = 27

Then, you move the -9 to the other part, next to the 27. And since it was a multiplication, it becomes a division.
x = -\frac{27}{9}
x = -3

Then, you choose an equation of the system, and you replace x by it's value so you can find y. I'll take the first equation.

-4x + y = 6
-4*-3 + y = 6
12 + y = 6

Then, you move 12 to the other part next to the 6. And since it was a positive number, it becomes a negative number.
So
y = 6 - 12
y = -6

So, the solution of the proposed system <span>is (x;y) = (6;-6)
x = 6
y = -6

Hope this Helps :)

</span>
6 0
3 years ago
Find the inequality represented by the line. Need help immediately. Explain if you can
Debora [2.8K]

Answer:

ok fine 1.3x+4y<10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please helppppppp
    6·2 answers
  • Factor the expression below 8w+2x
    9·1 answer
  • 2. Express the following in the form of a ratio and
    13·1 answer
  • How many significant digits are in 80,000
    8·2 answers
  • A pool charges $4 each visit or you can buy a membership. Right and solve an inequality to find how many times a person should u
    7·1 answer
  • Austin is going for a walk. He takes 3 hours to walk 4.8 miles. What is his speed?
    10·1 answer
  • Keith is using photo software to enlarge a photograph that is 4 inches by 6 inches to 9 inches by 13.5 inches. What is the scale
    5·1 answer
  • Have the conditions for inference been met?
    15·1 answer
  • In ΔSTU, m∠S=(11x+3)∘,∠T=(2x+16)∘, and m∠U=(x+7)∘. Find .
    14·1 answer
  • If a jeweler buys a piece for $250 from a wholesaler and the markup is 30% what is the markup
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!