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nydimaria [60]
3 years ago
11

19) Suppose that there are 55 Democrats and 45 Republicans in the US Senate. A committee of seven senators is to be formed by se

lecting members of the Senate randomly. a) What is the probability that the committee is composed of all Democrats?
Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

Probability = 0.12676992

Step-by-step explanation:

The probability of selecting committee of seven composed of all Democrats.

Total number = 45+55= 100

Number of Democrats = 55

Number of committee = 7

Probability= (55C7)/(100/7)

Where C represent combination sign

Probability = (202927725/1.60075608*10^10)

Probability = 0.12676992

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kompoz [17]
I’ll explain part A and you can apply it to the other parts. The functions f(x), g(x), and m(x) are all equivalent to the given polynomials. So when it asks for f(x) + [g(x) - m(x)] you plug them in. The answer to Part A is 3x^2 +5x - z + [5x^2-3x+z - 2x^2 - 2x]. Combine the like terms (3x^2+5x^2-2x^2 = 6x^2 (because 3+5-2=6)) and so on until you’ve simplified it as much as possible!
4 0
3 years ago
The length of a rectangle is twice its width. The perimeter is 30. Find its dimensions
bogdanovich [222]

Answer:

Step-by-step explanation:

The width of the rectangle = x

Therefore the length of the rectangle = 2x, as it is twice its width

We know that the perimeter of a rectangle = 2 × (length + width)

So since the perimeter equals to 30, then we can form the equation:

                                      2×(2x+x) = 30

                                          2×(3x) = 30

                                                6x = 30

                                                   x = 5

width of the rectangle = x = 5

length of the rectangle = 2x = 2×5 = 10

If there is an unit which is in the question, remember to add it to the end of the answer. As you have not written any units in the posted question, I will leave it as it is.

Hope this helps :)

7 0
4 years ago
Read 2 more answers
I need help with this one
Artemon [7]
Binomial,since there are 2 terms and the degree is 3 since that is the highest exponent
7 0
3 years ago
One of the legs of a right triangle measures 4 cm and its hypotenuse measures 5 cm. Find the measure of the other leg. If necess
Zigmanuir [339]
A^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25. -16
B^2 = 9
Square root of 9 = 3
B = 3

The other leg is 3cm
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3 years ago
Carl earns $5.25 per hour walking his neighbors dogs. He walks them 2/6 of an hour in the morning and 1/2 of an hour in the afte
DIA [1.3K]
2/6 = 1/3 = 20 minutes
1/2 = 30 minutes
20 + 30 = 50 minutes

50 minutes x 7 = 350 minutes = 5 hours and 50 minutes
5 x $5.25 = $26.25
50 minutes = 5/6
5/6 of $5.25 = 4.375

Add $26.25 to the total for 50 minutes to get your answer. :)
7 0
3 years ago
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