What is -4-4 (n-3) = 16

on the last night of scout camp Chris his wife Joe and the 11 other adults sit down for supper along one side of a long rectangu

yawa3891 [41]

Based on the information provided, it follows that there are 1,728 possible seating arrangements.

<h3>How can we find the number of possible arrangements?</h3>

To find the number of arrangements in this problem situation we must take into account the following key factors:

Chris only has 1 possible seat.
Jo has 2 possible seats.
Dave, Alex, and Barb have 3 possible seats.
Gareth, Fred, and Eddie have 3 possible seats.
There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.

According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.

<h3>What is factoring?</h3>

A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.

In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:

Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24

Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:

Number of possibilities = 1 × 2 × 6 × 6 × 24
Number of possibilities = 1728

Learn more about the factorial function in: brainly.com/question/16674303

4 0

2 years ago

Pea flowers may be purple (P) or white (p). Pea seeds may be round (R) or wrinkled (r). What proportion of the offspring from th

Rudiy27

Answer:

The proportion of the offspring from the cross PpRr × PpRr that are expected to have white flowers and wrinkled seeds is 1/16 or 6.25%.

Step-by-step explanation:

The uppercase letter represents the dominant allele, while the lowercase represents the recessive allele. The dominant allele determines the phenotype (observable trait) when it is present.

When you cross heterozygous individuals for each trait, each individual of the offspring has the probability of 1/6 of each combination of four alleles (two for each trait). Because the dominant allele determines the phenotype when it is present, the probability of dominant phenotypes is higher than recessive phenotypes.

Proportions of each phenotype in the offspring from the cross PpRr × PpRr are:

Purple flowers with round seeds: 9/16

Purple flowers with wrinkled seeds: 3/16

White flowers with round seeds: 3/16

White flowers with wrinkled seeds: 1/16

The proportion of individuals with white flowers and wrinkled seeds is the lowest because they are homozygous recessive for both traits.

8 0

3 years ago

Lshonda sells beaded necklaces. Each large necklace sells for 4.70 and each small necklace sells for 4.20. How much will she ear

AysviL [449]

Answer: Lshonda will earn $23.

Step-by-step:
The equation would be (4•4.7) + (1•4.2)
4 multiplied by 4.7 is 18.8
1•4.2 is 4.2
18.8+4.2=23

hope this helps! :)

7 0

2 years ago

H(x) = x2 1 k(x) = x – 2 (h k)(2) = (h – k)(3) = Evaluate 3h(2) 2k(3) =.

natima [27]

Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.The value of the given functions are,

$(h+k)(x)=5$