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3 years ago

The train station runs trains every 30 minutes. Find the probability that a passenger who arrives at a random time will not have

to wait more than 20 minutes. A. 1/3 B. 1/2 C. 2/3 D. 25/30

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

$|\Omega|=30\\ |A|=20\\\\ P(A)=\dfrac{20}{30}=\dfrac{2}{3}\Rightarrow \text{C}$

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Answer:

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3 years ago

Vijay has a collection of 50 number cubes that are each 1 cubic inch. He finds a box that is 4 inches high.He fits 12 cubes into

Lera25 [3.4K]

No, Vijay cannot fit all cubes into the box.

Solution:

Total number of cubes = 50

Volume of each cube = 1 cubic inch

Number of cubes fit in the bottom of the box = 12

Area of the box = l × b = 12 square inch

Height of the box = 4 inch

Volume of the box = l × b × h

= 12 × 4

Volume of the box = 48 cubic inch

So, 48 cubes can only fit in the box.

Hence, Vijay cannot fit 50 cubes into the box.

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4 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

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N76 [4]

4 liters of punch can serve 16.

5 liters of punch will be needed for 20 servings.

7 liters of punch will serve 28.

Step-by-step explanation:

Given,

Ratios of liters of punch to servings = 2:8

Let,

x be the servings for 4 liters.

New ratio of liters of punch to servings = 4:x

Using proportion;

Ratio :: New ratio

$2:8::4:x$

Product of mean = Product of extreme

$8*4=2*x\\32=2x\\2x=32$

Dividing both sides by 2

$\frac{2x}{2}=\frac{32}{2}\\x=16$

4 liters of punch can serve 16.

Let,

y be the liters of punch for 20 servings.

New ratio = y:20

Using proportion;

$2:8::y:20$

Product of mean = Product of extreme

$8*y=20*2\\8y=40\\$

Dividing both sides by 8

$\frac{8y}{8}=\frac{40}{8}$

y=5

5 liters of punch will be needed for 20 servings.

Let,

z be the number of servings for 7 liters of punch.

New ratio = 7:z

Using proportion

$2:8::7:z\\$

Product of mean = Product of extreme

$8*7=2*z\\56=2z\\2z=56$

Dividing both sides by 2

$\frac{2z}{2}=\frac{56}{2}\\z=28$

7 liters of punch will serve 28.

Keywords: ratio, proportion

Learn more about ratios at:

#LearnwithBrainly

4 0

3 years ago

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

PtichkaEL [24]

Answer:

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Step-by-step explanation:

2 same angles

$\frac{13+5}{z} = \frac{z}{5} \\\\z^{2} = 5 * 18\\z^{2} = 90\\z = \sqrt{90} = 9,4$

4 0

4 years ago