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3 years ago

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!helpppppppp

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

Answer:

2W + 56 = 78 , W = 10

Step-by-step explanation:

perimeter of rectangle = 2*the Length + 2*the Width

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Two cards are drawn without replacement from standard deck of 52 cards. What is the probability that the first card is a spade a

ValentinkaMS [17]

Answer:

13 / 204; No, they are dependent events

Step-by-step explanation:

Total number of cards in the deck = 52

Total number of spades in the deck = 13

Total number of hearts in the deck = 13

Part 1: Calculating the Probability

Picking up the first card:

When picking the first card i.e spade, we have the option to pick 13 cards out of 52. So the probability will be 13/52

When first card is picked, the total number of cards will be reduced to 51 because we are not placing the card back in the deck

Picking up the second card:

When picking up the second card i.e. heart, we have the option to pick 13 cards out of 51. So the probability will be 13/51

The probability of picking a spade and then a heart is = 13/52 x 13/51 = 13/204

Part 2: Independent or Not

Note that, picking up a spade and not replacing it back is changing the probability of picking up a heart. In normal cases, picking up a heart from a deck will have the probability of 13/52, but since the we are not placing the card back the probability is changed to 13/51

Since, the probability of picking a heart is being changed by the previous event, we say that the two events are dependent.

Therefore, the correct answer will be final option: 13 / 204; No, they are dependent events

4 0

3 years ago

in 2015, the population of a small town in florida is 95. if the population increases 15% very year, approximately what will the

ella [17]

Answer:

The approximate population of the town in 2023 will be 291

Step-by-step explanation:

In 2015, the population of a small town in Florida is 95

So, The population of a small town in Florida = 95

Now, The increase in the population of a small town in Florida is 15%

We need to find the approximate population of the small town in 2013

Number of years from 2015 to 2023 = 8 years

So, we need to find the population increase in 8 years with the rate of 15%

Thus, The increased population = initial population × ( 1 + 15%)^8

⇒ The increased population = 95 × 1.15^8

= 290.61 ≈ 291

Therefore, The approximate population of the town in 2023 will be 291

4 0

3 years ago

What is the value of (8 - 3)! ?<br> 24<br> 120<br> 40,314<br> 6

MakcuM [25]

Answer:

120

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A 2×2 square is divided into four 1×1 squares. Each of the small squares is to be painted either green or red. In how many diffe

liberstina [14]

Answer:

Step-by-step explanation:

Let's denote all the four square by 1, 2, 3, and 4 as shown in the figure.

Each of the small squares is to be painted either green or red

The total numbers of the possible cases are:

(1) The number of cases if there is no green color square = 1 (all red)

(2) The number of cases, if there is 1 green color square = 4 as either of 4 small squares can be green (1G,2G,3G,4G).

(3) The number of cases if there is 2 green color square = 2+4=6 as

for diagonal positions: 2 which are (1G,3G), (2G,4G).

for non-diagonal positions:4 which are (1G,2G), (1G,4G), (2G,3G), (3G,4G)

(4) The number of cases, if there is 3 green color square = The number of cases, if there is 1 red color square= 4 as either of 4 small squares can be red (1R,2R,3R,4R).

(5) The number of cases if there is 4 green color square = 1 (all green)

So, the total numbers of possible cases = 1+4+6+4+1=16.

Now, possible positions for which no green square shares its top or right side with any red square are the diagonal positions as mentioned in point (3), i.e (1G,3G), (2G,4G)

So, the total numbers of favorable cases = 2

Hence the total number of different ways for painting each of the small squares so that no green square shares its top or right side with any red square is 2.

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3 years ago

What is 4.414*10’9 in standard form

kakasveta [241]

Answer:

4,414,000,000

Step-by-step explanation:

4.414x10^9, move the decimal place 9 places to the left.

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3 years ago

Read 2 more answers