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3 years ago

Somebody help pls:)))

Mathematics

1 answer:

netineya [11]3 years ago

6 0

Answer: 5.4

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Explanation:

Angle D = 43 is the given reference angle
side FE = 5 is the side opposite the reference angle (since its the leg furthest away from angle D)

We want to find side DE which is the other leg. This is the adjacent side with angle D as the reference angle

Use the tangent rule

tan(angle) = opposite/adjacent
tan(D) = FE/DE
tan(43) = 5/DE
DE*tan(43) = 5
DE = 5/tan(43)
DE = 5.36184355 <<-- use a calculator here; this is approximate
DE = 5.4 <<-- round to the nearest tenth

That's why 5.4 is the answer

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a studernt has pased 60 percent of 20 quizzes he has written so far successfully. if the student 50 quizzes during the year, and

faust18 [17]

Answer:

72%

Step-by-step explanation:

There are a total of 50 quizzes in the year

From the first 20, the student passes 60%. This makes a total of

$\frac{60}{100} (20) = 12$

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Out of the remaining 30 quizzes the student passes in 80% of them. This makes a total of

$\frac{80}{100} (30) = 12$

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Adding the two values

12 + 24 = 36

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We convert this to a percentage

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3 years ago

A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a spade, the player wins $7; if it i

Akimi4 [234]

The expected value of the game is the mean value of the game

The expected value of the game is $1

<h3>How to determine the expected value?</h3>

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

$E(x) = \sum x * P(x)$

This gives

$E(x) = \frac 14 * 7 - 1 * \frac34$

Simplify

$E(x) = \frac 74 - \frac34$

Evaluate

$E(x) = 1$

Hence, the expected value of the game is $1

Read more about expected values at:

brainly.com/question/15858152

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2 years ago

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Answer:

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Step-by-step explanation:

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