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2 years ago

HELP PLEASE PYTHAGOREAN THEOREM

Mathematics

1 answer:

juin [17]2 years ago

5 0

Your answer is 13.8 or 14

A^2 + B^2 = C^2
7^2 + 12^2 =C^2
49 + 144 = 193
193=13.8 (Square root 193)
C^2 is 13.8 or 14

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Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a

aev [14]

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find - What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = $\frac{12}{52}$

Probability of getting a other card = $\frac{40}{52}$

So,

Expected value, E[x] = ∑ x p(x)

= (16)( $\frac{12}{52}$ ) + (3)( $\frac{40}{52}$ )

= $\frac{192}{52} + \frac{120}{52}$

= $\frac{312}{52}$

= 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

4 0

2 years ago

Directions: The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. E

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The experiment is the development of a new soft drink

A possible outcome is "Prefer this new drink"
A possible event is "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"
A new survey is about children vaccination

<h3>The experiment</h3>

From the question, we understand that:

The Fresno Mall plans to survey teenagers about a newly developed soft drink

This implies that the experiment is the survey of teenagers for a new soft drink

<h3>A possible outcome</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one outcome could be "Prefer this new drink"

<h3>A possible event</h3>

Also from the question, we have:

The teens will be asked to compare it with their favourite soft drink

In terms of preference, one event could be "The event that 5 of 10 teenagers prefer this new drink to their favourite drink"

<h3>A new survey</h3>

Using the question as a guide, a survey could be:

<em>In a survey of 500 randomly selected adults, 68% of the respondents think that the government should require parents to have their children vaccinated.</em>

Here, we have:

Experiment: Children vaccination
Outcome: Outcome that a parent supports parent should have their children vaccinated
Event: Event that 5 of 10 individuals think that the government should require parents to have their children vaccinated

<h3>Importance of probability</h3>

Probabilities, in this scenario are used to determine the proportions of outcomes, events and it is used to make informed decisions