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3 years ago

The number of gal of water used to water trees is 30 times the number of trees

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

7 0

Are you trying to make an algebraic equation?

x = # of trees
y = gal of water

It would be 30x = y

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What is the probability of drawing the compliment of a king or a

inna [77]

Answer:

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

Step(i):-

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

$n( E_{1} ) = 4 _{C_{1} } = 4$

Let E₂ be the event of the card drawn being a queen

$n( E_{2} ) = 4 _{C_{1} } = 4$

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

step(ii):-

The probability of drawing of a king or a queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

$= \frac{4}{52} + \frac{4}{52}$

P( E₁ U E₂ ) = $\frac{8}{52}$

step(iii):-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards

$P(E_{1}UE_{2}) ^{-} = 1- P(E_{1} U E_{2} )$

$P(E_{1}UE_{2}) ^{-} = 1- \frac{8}{52}$

$P(E_{1}UE_{2}) ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846$

Conclusion:-

The probability of drawing the compliment of a king or a queen from a standard deck of playing cards = 0.846

5 0

2 years ago

42x+45=56z 43x+56=34z

Alecsey [184]

Question ? There is no question to help

5 0

2 years ago

Help pls asap!!! Make sure to answer all of them!

Mariulka [41]

Answer:-4

-3

-2

Step-by-step explanation:

thx

3 0

2 years ago

2. A dice is rolled. A card is drawn from a deck of face cards (i.e. only Jack, Queen, King of each suit). A coin is flipped. a)

LekaFEV [45]

When you roll and even number, the probability of winning is 3/6 or 1/2.
When you want to draw a heart:
The sample space is 12. That is 3 faces and 4 suits. There are 4 hearts in this deck. The probability you get a heart is 4/12 or 1/3.
When you want to toss a tail:
Sample space is 2, head and tail. You do not win if you get a heads. The probability is 1/2. The probability of winning is 1/2 * 1/3 * 1/2 = 1/12 Then the probability of losing is 1-1/12 = 11/12

8 0

3 years ago

A total of $2,000 is invested at an annual interest rate of 2%. Find the balance in the account after

Anit [1.1K]

Answer:

The balance in the account after 10 years is US$ 2,442.81

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Investment amount = US$ 2,000

Duration of the investment = 10 years

Annual interest rate = 2% compounded continuously

2. Let's find the future value of this investment after 10 years, using the following formula:

FV = PV * eˣ ⁿ

PV = Investment = US$ 2,000

number of periods (n) = 10 (10 years compounded continuously)

rate (x) = 2% = 0.02

e = 2.71828 (Euler's number)

Replacing with the real values, we have:

FV = 2,000 * (2.71828)^0.02*10

FV = 2,000 * 2.71828^0.2

FV = 2,000 * 1.2214027

FV = US$ 2,442.81

8 0

3 years ago