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Mathematics

1 answer:

ratelena [41]3 years ago

6 0

B is the answer you need

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You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. T

natita [175]

Answer:

Probability of getting Dr. Pepper the fourth time = $\frac{1}7$

Probability of getting a cherry coke the fifth time = $\frac{1}{3}$

Combined probability = $\frac{1}{21}$

Step-by-step explanation:

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

It is given that first time a Cherry coke is chosen and it is not replaced.

So, number of cherry coke left = 2

Dr. Pepper is chosen twice and is not replaced, so

Number of Dr. Pepper left = 3 - 2 = 1

Total number of soda left = 10 - 3 = 7

So, probability of getting Dr. Pepper the fourth time = $\frac{1}7$

Now, total number of soda left = 7 - 1 = 6

Probability of getting a cherry coke the fifth time = $\frac{2}{6} = \frac{1}{3}$

The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time

$\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}$

6 0

3 years ago

A person who is 6ft tall walks away from a streetlight. When the person is 15 feet away from the light, the tip of his shadow is

Citrus2011 [14]

We essentially have a ratio here:
$\frac{shadow}{actual}$

Since we know the ratio is going to stay constant at $\frac{5}{6}$ , we can use this to find the height of the lamp along with the information that the total distance from the lamp to the tip of his shadow is 20:
$\frac{5}{6}=\frac{20}{h}$
$5h=120$
$h=24$