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inn [45]
3 years ago
15

7. Slips are drawn form a box containing 100 slips written with numbers 1 to 100. If three slips are

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0

Answer:

D

Step-by-step explanation:

We need the numbers of each before we can calculate the probability

Number of even numbers are 50

Number of odd numbers are 50

Number of perfect squares;

1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 and 100

10 perfect squares

Probability of selecting even = probability of selecting odd = 50/100 = 1/2

Probability of selecting a perfect square = 10/100 = 1/10

Thus, the probability of having the draws in the other stated in the question will be;

1/2 * 1/2 * 1/10 = 1/40

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Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta
MrMuchimi

Answer:

The equation that best models this situation is :

b. \frac{x}{20}=\frac{x+400}{25}

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

<em>Let length of the trip of Train W be </em>= x miles

Speed of Train W can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x}{20}\ miles/h

<em>So, the length of the trip of Train Z will be</em> = (x+400) miles

Speed of Train Z can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x+400}{25}\ miles/h

Since the speeds are same, so the equation to find x can be given as:

⇒ \frac{x}{20}=\frac{x+400}{25}

Solving for x

Multiplying both sides by 100 to remove fractions.

⇒ 100\times \frac{x}{20}=100\times \frac{x+400}{25}

⇒ 5x=4(x+400)

Using distribution.

⇒ 5x=4x+1600

Subtracting both sides by 4x

⇒ 5x-4x=4x-4x+1600

⇒ x=1600

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 1600+400 = 2,000 miles

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