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3 years ago

HURRY AND ANSWER

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

7 0

Answer:

The total area covered by Liza and Abby is 44.5 ft².

Step-by-step explanation:

Area of a rectangle is

$A=l\times w$

The area of pink blanket is

$A=5\times 5.7=28.5$

Therefore the area of pink blanket is 28.5 ft².

The area of blue blanket is

$A=6\times 4=24$

Therefore the area of blue blanket is 24 ft².

The area of a triangle is

$A=\frac{1}{2}\times base\times height$

The common area is

$A=\frac{1}{2}\times 4\times 4=8$

Therefore the common area of both blanket is 8 ft².

The total area covered by Liza and Abby is

$28.5+24-8=44.5$

Therefore the total area covered by Liza and Abby is 44.5 ft².

Dennis_Churaev [7]3 years ago

4 0

24+28.5−8=44.5 ft^2

The total area is 44.5 ft^2.

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Answer:

(a) The probability the salesperson will make exactly two sales in a day is 0.1488.

(b) The probability the salesperson will make at least two sales in a day is 0.1869.

(d) The expected number of sales per day is 0.80.

Step-by-step explanation:

Let X = number of sales made by the salesperson.

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The salesperson contacts n = 8 potential customers per day.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

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(a)

Compute the probability the salesperson will make exactly two sales in a day as follows:

$P(X=2)={8\choose 2}0.10^{2}(1-0.10)^{8-2}\\=28\times 0.01\times 0.5314\\=0.1488$

Thus, the probability the salesperson will make exactly two sales in a day is 0.1488.

(b)

Compute the probability the salesperson will make at least two sales in a day as follows:

P (X ≥ 2) = 1 - P (X < 2)

= 1 - P (X = 0) - P (X = 1)

$=1-{8\choose 0}0.10^{0}(1-0.10)^{8-0}-{8\choose 1}0.10^{1}(1-0.10)^{8-1}\\=1-0.4305-0.3826\\=0.1869$

Thus, the probability the salesperson will make at least two sales in a day is 0.1869.

(c)

Compute the probability that a salesperson does not makes a sale is:

$P(X=0)={8\choose 0}0.10^{0}(1-0.10)^{8-0}\\=8\times 1\times 0.4305\\=0.4305$

The percentage of days the salesperson does not makes a sale is,

0.4305 × 100 = 43.05%

Thus, the percentage of days the salesperson does not makes a sale is 43.05%.

(d)

Compute the expected number of sales per day as follows:

$E(X)=np=8\times 0.10=0.80$

Thus, the expected number of sales per day is 0.80.

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