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nydimaria [60]
2 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]2 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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A canoe in still water travels at a rate of 12 miles per hour. The current today is traveling at a rate of 2 miles per hour. If
VARVARA [1.3K]

Answer:

It’s 60miles

Step-by-step explanation:

We assume the trip is "d" miles and that the "extra hour" refers to the additional time that a current of 2 mph would add. That is, we assume the reference time is for a current of 0 mph.

The time with no current is ...

 time1 = distance/speed

 time1 = d/12 . . . . hours

With a current of 2 mph in the opposite direction, the time is ...

 time2 = d/(12 -2) = d/10

The second time is 1 hour longer than the first, so we have ...

 time2 = 1 + time1

 d/10 = 1 + d/12

 6d = 60 + 5d . . . . multiply by 60

 d = 60 . . . . . . . . . subtract 5d

The one-way distance is 60 miles.

7 0
2 years ago
Assume that two figures on a flat surface, A and B, are similar.
lawyer [7]
A.     ratio of areas = 2^2 /5^2 = 4/25

B    14^2 : 1 = 196:1

C.  ratio of perimeters would be  sqrt81 = 9 times
5 0
3 years ago
A recipe for biscuits calls for 1 cups
Svetllana [295]

Answer:

A

Step-by-step explanation:

1 1/2 × 3 = 4 1/2

.........

5 0
2 years ago
Draw polygon abcdef in this coordinate plane, given its vertices a=(-2,-3), b=(0,-3), c=(0,1), d=(3,1), e=(3,3), f=(-2,3)
tiny-mole [99]

The polygon abcdef in the coordinate plane shown with area of 18 square units.

<h3>What is a regular polygon?</h3>

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have vertices for the polygon:

a=(-2,-3), b=(0,-3), c=(0,1), d=(3,1), e=(3,3), f=(-2,3)

After marking the coordinates on the coordinate plane and connecting the lines, we will get a polygon.

We can find the area of the shape:

Area of the shape = 18 square units

Thus, the polygon abcdef in the coordinate plane shown with area of 18 square units.

Learn more about the regular polygon here:

brainly.com/question/11810316

#SPJ1

7 0
1 year ago
Complete the statement to describe the expression (a + b + c) (d + e + f)
Gnesinka [82]

Answer:

The expression consists of 2 factors, and each factor contains 3 terms.

3 0
3 years ago
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