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
Black_prince [1.1K]
3 years ago
11

If there are n boys and n girls in the class, what is the probability that all of the randomly chosen pairs of dancing partners

will consist of a boy and a girl?

Mathematics
1 answer:
ladessa [460]3 years ago
5 0

The solution is in the attachment

You might be interested in
Please answer and say what a perfect root is pls i didnt get time to study and this is for 15 points
mixer [17]

Answer:

81

Step-by-step explanation:

9 x 9 = 81

So, 81 is the perfect square.

5 0
3 years ago
Read 2 more answers
Navy PilotsThe US Navy requires that fighter pilots have heights between 62 inches and78 inches.(a) Find the percentage of women
Zigmanuir [339]

The first part of the question is missing and it says;

Use these parameters: Men's heights are normally distributed with mean 68.6 in. and standard deviation 2.8 in. Women's heights are normally distributed with mean 63.7 in. and standard deviation 2.9 in.

Answer:

A) Percentage of women meeting the height requirement = 72.24%

B) Percentage of men meeting the height requirement = 0.875%

C) Corresponding women's height =67.42 inches while corresponding men's height = 72.19 inches

Step-by-step explanation:

From the question,

For men;

Mean μ = 68.6 in

Standard deviation σ = 2.8 in

For women;

Mean μ = 63.7 in

Standard deviation σ = 2.9 in

Now let's calculate the standardized scores;

The formula is z = (x - μ)/σ

A) For women;

Z = (62 - 63.7)/2.9 = - 0.59

Z = (78 - 63.7)/2.9 = 4.93

The original question cam be framed as;

P(62 < X < 78).

So thus, the probability of only women will take the form of;

P(-0.59 < Z < 4.93) = P(Z<4.93) - P(Z > - 0.59)

From the normal probability table attached, when we interpolate, we'll arrive at P(Z<4.93) = 0.9999996

And P(Z > - 0.59) = 0.277595

Thus;

P(Z<4.93) - P(Z > - 0.59) =0.9999996 - 0.277595 = 0.7224

So, percentage of women meeting the height requirement is 72.24%.

B) For men;

Z = (62 - 68.6)/2.8 = -2.36

Z = (78 - 68.6)/2.8 = 3.36

Thus, the probability of only men will take the form of;

P(-2.36 < Z < 3.36) = P(Z<3.36) - P(Z > - 2.36)

From the normal probability table attached, when we interpolate, we'll arrive at P(Z<3.36) = 0.99961

And P(Z > -2.36) = 0.99086

Thus;

P(Z<3.36) - P(Z > -2.36) 0.99961 - 0.99086 = 0.00875

So, percentage of women meeting the height requirement is 72.24%.

B)For women;

Z = (62 - 63.7)/2.9 = - 0.59

Z = (78 - 63.7)/2.9 = 4.93

The original question cam be framed as;

P(62 < X < 78).

So thus, the probability of only women will take the form of;

P(-0.59 < Z < 4.93) = P(Z<4.93) - P(Z > - 0.59)

From the normal probability table attached, when we interpolate, we'll arrive at P(Z<4.93) = 0.9999996

And P(Z > - 0.59) = 0.277595

Thus;

P(Z<4.93) - P(Z > - 0.59) =0.9999996 - 0.277595 = 0.00875

So, percentage of women meeting the height requirement is 0.875%

C) Since the height requirements are changed to exclude the tallest 10% of men and the shortest10% of women.

For women;

Let's find the z-value with a right-tail of 10%. From the second table i attached ;

invNorm(0.90) = 1.2816

Thus, the corresponding women's height:: x = (1.2816 x 2.9) + 63.7= 67.42 inches

For men;

We have seen that,

invNorm(0.90) = 1.2816

Thus ;

Thus, the corresponding men's height:: x = (1.2816 x 2.8) + 68.6 = 72.19 inches

7 0
3 years ago
What is the slope of the equation y= 5/4x - 7/4?<br> –7<br> -7/4<br> 5/4<br> 5
Scilla [17]

Answer:

5/4

Step-by-step explanation:

5 0
3 years ago
Ken Has Two Red Shirts, Two Blue Shirts, A Pair Of White Pants And A Pair Of Blue Pants. The Probability That He Will Wear A Red
insens350 [35]

There is a 2 in 4 chance for a red shirt

there is a 1 in 2 chance for blue pants

There is (I think) a 1 in 6 chance for the chosen pain to be worn.

8 0
3 years ago
Divide $150 into the ratio 2:5:3
pentagon [3]

Answer:

$30, $75, $45

Step-by-step explanation:

We can set up an equation, where x is an unknown value:

2x+5x+3x=150

10x = 150

x=15

Now that we know what x is, we can plug x in to solve for 2x, 5x, and 3x:

2x=2*15=30

5x=5*15=75

3x=3*15=45

Therefore, the answer is $30, $75, $45

5 0
2 years ago
Other questions:
  • How do you write an equation of a line in standard form if you have two points?
    12·1 answer
  • Choose the linear eqution that has a y- intercept of 3.
    9·1 answer
  • PLZ HELP ASAP!!!!!!!,
    13·2 answers
  • Using the grid box, draw a net for a rectangular prism with a length of 8 units, width of 2 units and height of 3 units
    9·1 answer
  • Solve the system of equations using substitution. −2x + y = 3.5 <br>−2y = 3x
    11·1 answer
  • In ΔABC, the measure of ∠C=90°, BC = 16 feet, and AB = 48 feet. Find the measure of ∠B to the nearest tenth of a degree.
    9·1 answer
  • 15% of the apple trees are red delicious apple trees. The orchard has 36 red delicious apple trees.
    7·1 answer
  • Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case
    13·1 answer
  • 1) Find the area of a triangle with a height of 9 cm and a base of 5 cm.​
    6·1 answer
  • On the grid below, which point is located in the quadrant where the x-coordinate is a positive number and the y-coordinate is a
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!