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andrey2020 [161]
3 years ago
10

A lottery is conducted using three urns. each urn contains chips numbered from 0 to 9. one chip is selected at random from each

urn. the total number of sample points in the sample space is:
Mathematics
1 answer:
Gennadij [26K]3 years ago
3 0
From the given each urn would contain 10 numbers (that is, from 0 to 9). The total number of sample points in the sample space can be calculated through the fundamental principles of counting. 

We simply multiply the number of numbers in each urn since there is no restriction.
                 sample space = 10 x 10 x 10 = 1000

Thus, there are 1000 possible outcomes for the lottery. 
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Provide a counterexample:
Jobisdone [24]

Answer:

a=2 \quad \text{and} \quad b=-2

Step-by-step explanation:

Take a=2 \quad \text{and} \quad b=-2, note that

2=(-1)\cdot(-2)

hence b divides a. On the other hand, we have that

-2=(-1)\cdot2

which tells us that a divides b. Moreover, a=2 \neq -2=b.

5 0
3 years ago
omposite figure is divided into two congruent trapezoids, each with a height of 4 cm. 2 trapezoids. Both trapezoids have base le
adelina 88 [10]

Answer:Option C:

64 \ cm^2 is the area of the composite figure

It is given that the composite figure is divided into two congruent trapezoids.

The measurements of both the trapezoids are

b_1=10 \ cm

b_2=6 \ cm and

h=4 \ cm

Area of the trapezoid = \frac{1}{2} (b_1+b_2)h

Substituting the values, we get,

A=\frac{1}{2} (10+6)4

A=\frac{1}{2} (16)4

A=32 \ cm^2

Thus, the area of one trapezoid is $32 \ {cm}^{2}$

The area of the composite figure can be determined by adding the area of the two trapezoids.

Thus, we have,

Area of the composite figure = Area of the trapezoid + Area of the trapezoid.

Area of the composite figure = $32 \ {cm}^{2}+32 \ {cm}^{2}$ = 64 \ cm^2

Thus, the area of the composite figure is 64 \ cm^2

Step-by-step explanation:

4 0
3 years ago
SOLVE THE CORRECT ANSWER!
UNO [17]

Step-by-step explanation:

1.

123445+(89-23765)=99769

2.

234.57+(5.23-2.678)=237.122

3

(21.54+ 80.27)-68.501=33.309

5 0
3 years ago
Convert 54 inches to yards.
Andru [333]
1.5 yards is the correct answer
54in=4ft 6in=1.5yd
8 0
4 years ago
A boat takes 5 hours to go upstream. It can go 50 miles downstream in the same time. Find the rate of the current in the rate of
natka813 [3]

Answer:

Rate of current is 3 miles per hour and speed of the boat in still water is 7 miles per hour.

Step-by-step explanation:

This question is incomplete; find the complete question here.

A boat travels 20 miles upstream in 5 hours. Going downstream, it can travel 50 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water.

Let the speed boat in the still water = x miles per hour

and the speed (rate) of the current = y miles per hour

Speed of the boat to go upstream (against the current) will be = (x - y)miles per hour

Since boat takes 5 hours downstream to travel 50 miles then from the formula,

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

5=\frac{50}{(x+y)}

(x + y) = 10 -------(1)

Boat takes 5 hours to travel 50 miles upstream then,

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

5 = \frac{20}{(x-y)}

x - y = 4 -----(2)

By adding equation (1) and question (2)

(x + y) + (x - y) = 14

2x = 14

x = 7 miles per hour

From equation (1),

7 + y = 10

y = 3 miles per hour

Therefore, Rate of current is 3 miles per hour and speed of the boat in still water is 7 miles per hour.

5 0
3 years ago
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