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3 years ago

!!PLEASE HELP NEED THIS ANSWERED BY TOMORROW!!

Mathematics

1 answer:

sattari [20]3 years ago

5 0

Answer:

explain the difference between a postulate and a theorem:

A postulate is a statement that is to be assumed as true without proof. A theorem is a true statement that can be always proven.(put an example from the module. Idk the module ofc)

Idk the other thing

Step-by-step explanation:

Please mark brainliest :)

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Girardo is using the model below to solve the equation 3x+1=4x+(-4)

V125BC [204]

Answer:

x=5

Step-by-step explanation:

3x+1= 4x+(-4)

-4×+1= -4x-1 combine like terms

-1x= -5 divided by -1

x= 5

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3 years ago

A salesperson contacts eight potential customers per day. From past experience, we know that the probability of a potential cust

AlexFokin [52]

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.

The probability that a potential customer makes a purchase is 0.10.

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:

$P(X=x)={8\choose x}0.10^{x}(1-0.10)^{8-x};\ x=0,1,2,3...$

(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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3 years ago

Two number cubes are rolled to determine how a token moves on a game board. The sides of

Savatey [412]

Answer: The mathematical expectation of Option A is 2.25. The mathematical expectation of Option B is 2.75. Option B offers a greater likelihood of advancing to the finish line.

Step-by-step explanation: I took the test.