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3 years ago

A club is choosing 2 members to serve on a committee. The club has

Mathematics

1 answer:

Elanso [62]3 years ago

3 0

Answer: The probability that no women are chosen to be in the committee is 2/5 or 0.40.

Step-by-step explanation:

We have two positions, and we have 6 options for those positions, 3 are men, and 3 are women.

If we want to see the probability where no women are chosen, then this means that in the first selection a man is chosen.

If all the 6 nominees have the same probability of being chosen, then the probability that in the first selection a man is chosen is equal to the number of men divided the total number of nominees, this is:

p1 = 3/6 = 1/2.

Now the same happens for the second selection, but now we have 5 total nominees and 2 are men, so the probability now is:

p2 = 2/5

And the joint probability will be the product of the individual probabilities, then we have:

P = p1*p2 = (1/2)*(2/5) = 2/5.

The probability that no women are chosen to be in the committee is 2/5 or 0.40.

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Consider the statements below. Which are not propositions? Mark all that apply.

Troyanec [42]

Answer:

In Idaho, there are 15 temples for the Church of Jesus Christ of Latter-day Saints.

A delicious chocolate cake.

The great and spacious building.

3+5=8

5+3=53

Step-by-step explanation:

To determine which statement is a propositions or not first, we need to define the concept of preposition:

<em>A statement that can be either true or false.</em>

That means it should declare unequivocal information about something.

A question is not declaring something to be true or false. Therefore, it is not a proposition.

The recommendation of "should get" is not a direct statement.

No way! is not referring to anything to be either true or false.

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3 years ago

A statue is mounted on top of a 16 foot hill. From the base of the hill to where you are standing is 77 feet and the statue subt

DanielleElmas [232]

Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

$\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\ \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565$ ft.

Answer: the height of the statue is 2.0565 ft.

8 0

3 years ago

Read 2 more answers

The diameter of a circle is 10 cm what is the angle measure of an arc Pi centimeters long

vredina [299]

We know that

[length of a circumference]=2*pi*r
diameter=10 cm
r=10/2-----> 5 cm
[length of a circumference]=2*pi*5-----> 10*pi cm

if 360° (full circle) has a length of -----------> 10*pi cm
X°---------------------------> pi cm
X=pi*360/10*pi------> 36°

the answer is 36°

8 0

3 years ago

find the volume of a right circular cone that has a height of 4.2 m and a base with a radius of 3.4 m. Round your answer to the

lianna [129]

Answer: 50.8

Step-by-step explanation:

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3 years ago

PLEASE HELPPPP

Studentka2010 [4]

Answer:

1774.67π mm³

Step-by-step explanation:

Please find attached to this question, the required diagram.

From the question, we are told we have a spherical mold.

We would find the volume of a spherical mold using the formula for the volume of a sphere.

The volume of a sphere is calculated as : 4/3πr³

From the attached diagram, we are given the Diameter do the spherical mold as: 22mm

Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm

The volume of the spherical mold = 4/3 × π × 11³

= 1774.6666667π mm³

Approximately and leaving it in terms of pi (π)= 1774.67π mm³

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4 years ago