Rebecca Clarke's Nursery sells border plants for home gardeners at a discounted price of$12.99. Rebecca Clarke's has 335 plants it needs to sell. Fixed costs for all these plants were
$1,675 and variable costs per plant are $3.65. What is the maximum profit Rebecca Clarke's
will make if it sells all the plants at the discounted price?

Answers

Answer 1
Answer:

Answer:

$1,540.70

Step-by-step explanation:

1675/335 = 5

3.65 * 335 = 1222.75

Cost of $8.65 per plant, or $2,897.75 for every plant.

12.99 - 8.65 = 4.34

Profit of $4.34 per plant, or $1,540.70 total.


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Answers

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The small rectangle was enlarged to create the big rectangle.A smaller rectangle has a length of 12 feet and width of 2 feet. A larger rectangle has a length of x feet and width of 5 feet.
Not drawn to scale

What is the missing measure on the big rectangle?
6 feet
10 feet
24 feet
30 feet

Answers

Answer: the missing measure on the big rectangle is 30 feet.

Step-by-step explanation:

If the small rectangle was enlarged to create the big rectangle, it means that they are similar. This also means that the dimensions of the larger rectangle different form the dimensions of the smaller rectangle by a constant ratio or factor.

The smaller rectangle has a length of 12 feet and width of 2 feet. The larger rectangle has a length of x feet and width of 5 feet. This means that

x/12 = 5/2

Cross multiplying, it becomes

2x = 12 × 5 = 60

x = 60/2 = 30

Answer:

d 30

Step-by-step explanation:

ed 2020

A family buys 8 tickets to a show. They also pay a $5parking fee. They spend $61 to see the show.
What is the solution to the story?

13.80
10.60
07.00
8.25

Answers

Answer:

C. $7.00

Step-by-step explanation:

8 times 7 is 56 + 5 = 61

What is the probability of first drawing a red card, then a face card, and then a black card? Do not round your intermediate computations. Round your final answer to four decimal places.

Answers

Answer:

 [ 26 / 425 ] ≈ 0.0612

Step-by-step explanation:

Solution:-

- First we will describe the standard deck of 52 cards in terms of black, red and face cards found in a standard deck

- Following is a table of distribution of colored and face card found in a standard deck:

                 Type                   Number of cards

                 1 - 10                                40

                 Black                               26

                 Red                                 26

                 Face                                12

- The numerical cards from digit ( 1 to 10 ) are found in all 4 suits ( Clubs, Diamonds, Spades, and Hearts ). Hence, 10 x 4 = 40

- The entire deck is split in two colors ( Red and Black ) equally. So, the number of Black and Red cards are = 52 / 2 = 26 cards.

- The face cards are of three types ( King, Queen and Jack ). These three face cards are found in each of the 4 suits. Hence, Total number of face cards are = 4 * 3 = 12

- We will now consider the probabilities asscociated with each type. We will define 3 events and write down their proability as expressed:

Event ( A ): First draw is a red card.

- The probability of this event can be determined with the help of the table given above. There are a total of 26 red card in a standard deck of 52 cards. Hence,

            p ( A ) = [ Number of red cards ] / [ Total cards in a deck ]

            p ( A ) = [ 26 ] / [ 52 ]

            p ( A ) = 1 / 2

- After we make the first draw of a red card. Our deck distribution is changed to Number of Red cards remaining = 25 and total deck now has 51 cards remaining.

- We will define the next event as:

Event ( B ): The second draw is a face card.

- The probability of this event can be determined with the help of the table given above. There are a total of 12 face cards in a standard deck of 52 cards which is now down to 51 cards. Hence,

            p ( B ) = [ Number of face cards ] / [ Total cards in a deck ]

            p ( B ) = [ 12 ] / [ 51 ]

            p ( B ) = 4 / 17

- After we make the first draw of a face card. Our deck distribution is changed to Number of Face cards remaining = 11 and total deck now has 50 cards remaining.

- We will define the next event as:

Event ( C ): The third draw is a black card.

- The probability of this event can be determined with the help of the table given above. There are a total of 26 black cards in the deck. The total number of cards are down to 50 cards only. Therefore,

            p ( C ) = [ Number of black cards ] / [ Total cards in a deck ]

            p ( C ) = [ 26 ] / [ 50 ]

            p ( C ) = 13 / 25

- The entire drawing process consists of 3 events which are dependent on each draw. However, for the overall event to occur i.e drawing a red card , then a face card, and then a black card. We will multiply all three outcomes as follows:

          p ( T ) = p ( A ) * p ( B ) * p ( C )

          p ( T ) = [ 1 / 2 ] * [ 4 / 17 ] * [ 13 / 25 ]

          p ( T ) =  [ 26 / 425 ] ≈ 0.0612

Final answer:

The overall probability of first drawing a red card, then a face card, and then a black card from a standard deck of cards is 0.0124.

Explanation:

This question is related to the concept of probability in Mathematics. A standard deck of cards consists of 52 cards - 26 red (diamonds and hearts) and 26 black (clubs and spades). There are 12 face cards (King, Queen, and Jack of each suit).

For the first draw, the probability of picking a red card is 26/52, which simplifies to 1/2.

After picking a red card, we are left with 51 cards. So, for the second draw, the probability of picking a face card is 12/51.

Then, having picked a red and face card, we are left with 50 cards. For the third draw, the probability of picking a black card is 26/50 which simplifies to 13/25.

We multiply these probabilities together to get the overall probability, therefore (1/2) * (12/51) * (13/25) = 0.012418. Rounding this to four decimal places, we get 0.0124.

Learn more about Probability here:

brainly.com/question/22962752

#SPJ3

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 30% of onenight visitors buy a unit, and 20% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? A one-night visit? A two-night visit?

Answers

Answer:

0.087 = 8.7% probability that this person made a day visit.

0.652 = 65.2% probability that this person made a one-night visit.

0.261 = 26.1% probability that this person made a two-night visit.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = (P(A \cap B))/(P(A))

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Made a purchase.

Probability of making a purchase:

10% of 20%(day visit)

30% of 50%(one night)

20% of 30%(two night).

So

p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23

How likely is it that this person made a day visit?

Here event B is a day visit.

10% of 20% is the percentage of purchases and day visit. So

P(A \cap B) = 0.1*0.2 = 0.02

So

P(B|A) = (P(A \cap B))/(P(A)) = (0.02)/(0.23) = 0.087

0.087 = 8.7% probability that this person made a day visit.

A one-night visit?

Event B is a one night visit.

The percentage of both(one night visit and purchase) is 30% of 50%. So

P(A \cap B) = 0.3*0.5 = 0.15

So

P(B|A) = (P(A \cap B))/(P(A)) = (0.15)/(0.23) = 0.652

0.652 = 65.2% probability that this person made a one-night visit.

A two-night visit?

Event B is a two night visit.

The percentage of both(two night visit and purchase) is 20% of 30%. So

P(A \cap B) = 0.2*0.3 = 0.06

Then

P(B|A) = (P(A \cap B))/(P(A)) = (0.06)/(0.23) = 0.261

0.261 = 26.1% probability that this person made a two-night visit.

Write the number 0.0049 in scientific notation.

Answers

Answer:

= 4.9*10^-3

Step-by-step explanation:

Hope it helpzzz