Answer:
2.1 is ur answer :) hope that helps u out

140,000 = 1.4 x 105TrueO False

19. You decide to sell your ipod. You initially paid $300 for it. It has been 2 years and each year the value depreciated35%. How much is it worth?

What is the area of a circular pool with a diameter of 36 ft?

Mrs. Gregory, the golf course superintendent at a country club, plans to reseed the putting green of the first hole. The circular putting green has a diameter of 38 ft.What is the area of the putting green?Use π=3.14. Round to the nearest tenth

Which is true about the solution to the system of inequalities shown

19. You decide to sell your ipod. You initially paid $300 for it. It has been 2 years and each year the value depreciated35%. How much is it worth?

What is the area of a circular pool with a diameter of 36 ft?

Mrs. Gregory, the golf course superintendent at a country club, plans to reseed the putting green of the first hole. The circular putting green has a diameter of 38 ft.What is the area of the putting green?Use π=3.14. Round to the nearest tenth

Which is true about the solution to the system of inequalities shown

**Answer:C**

**Step-by-step explanation:**

**Answer:**

C 288

**Step-by-step explanation:**

using counter clockwise rotation

360/5 x 4 =288

i. A success is an adult who did not enjoy the commercials more than the event on TV itself.

ii. A success is an adult who enjoyed the commercials more than the event on TV itself.

b. What is the probability that less than four people enjoyed the commercials more than the event?

c. What is the probability that exactly six or seven people enjoyed the commercials more than the event?

d. What is the mean for this binomial distribution?

Answer:

a) ii. A success is an adult who enjoyed the commercials more than the event on TV itself.

b) P(X < 4) = 0.4576

c) P(X=6) + P(X=7) = 0.1064

d) Mean = 3.69

Step-by-step explanation:

a) The population parameter stated in the survey is the event that represents a success. Hence, A success is an adult who enjoyed the commercials more than the event on TV itself.

b) The probability that less than four people enjoyed the commercials more than the event

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adults sampled = 9

x = Number of successes required = number of people that enjoyed the commercial more than the event on TV = less than 4

p = probability of success = probability of enjoying the commercial more than the event = 0.41

q = probability of failure = probability of NOT enjoying the commercial more than the event = 1 - 0.41 = 0.59

P(X < 4) = P(X=0) + P(X=1) + P(X=2) + P(X=3) = 0.00866299582 + 0.05418043148 + 0.15060323326 + 0.24419846296

P(X < 4) = 0.45764512351 = 0.4576

c) The probability that exactly six or seven people enjoyed the commercials more than the event = P(X=6) + P(X=7)

Using the Binomial distribution formula

P(X=6) + P(X=7) = 0.08194801935 + 0.02440582659 = 0.106353846 = 0.1064

d) Mean = expected value of people that would enjoy the commercial more than the main event = np = 9×0.41 = 3.69

Hope this Helps!!!

**Answer:**

a) ii. A success is an adult who enjoyed the commercials more than the event on TV itself.

b)

And adding we got:

c)

And adding we got:

d)

**Step-by-step explanation:**

**Previous concepts**

The **binomial distribution** is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

**Solution to the problem**

Let X the random variable of interest, on this case we now that:

The probability mass function for the Binomial distribution is given as:

Where (nCx) means combinatory and it's given by this formula:

**Part a**

The success on this case is:

ii. A success is an adult who enjoyed the commercials more than the event on TV itself.

**Part b**

For this case we want this probability:

And we can find the individual probabilities and we got:

And adding we got:

**Part c**

For this case we want this probability:

And adding we got:

**Part d**

For this case the mean is given by:

The answer to the question

rate of growth of a population with a birth rate of 30births per

1000 and a death rate of 20 deaths per 1000?

**Answer:**

10 growth per 1000.

**Step-by-step explanation:**

Given,

Rate of birth = 30 births per 1000

Rate of death = 20 deaths per 1000

As the growth in population is the difference in the number of the child take birth and the person die.

As we are calculating the rate of birth and rate of growth in per thousands of members, so the growth rate will be also in per thousands.

As we can see on every one thousand people,

total birth = 30

total death = 20

so, total growth = total birth - total growth

= 30 - 20

= 10

As at every 1000 persons, there are 10 persons survive, so **the rate of growth will be 10 growth per 1000.**

PEMDAS - Parenthesis, exponent, multiply, divide, add, subtract

In **mathematics**, the order of operations and mathematical conventions are vital to ensure the correct solution of equations. This includes principles like scientific notation for handling large or small numbers, and dimensional analysis for ensuring the validity of equations involving different units of measurement.

The **order of operations** and mathematical convention are fundamental in accurately solving mathematical equations or expressions. This involves following certain rules, such as the use of scientific notation or the principles of dimensional analysis, to ensure equations and operations are performed correctly and yield valid results.

Take for example scientific notation, used for expressing very large or small numbers. When multiplying two numbers expressed in scientific notation, the process is simplified: you multiply coefficients and add exponents. E.g., (3 × 105) × (2 × 109) = 6 × 1014.

Alternatively, dimensional analysis is a technique used to check the validity of equations involving mathematical operation on quantities. It works on the premise that the units of these quantities have to undergo the same mathematical operations as their numbers. This ensures consistency and coherence of dimensions and units in the expression or equation, preventing impossible situations such as adding length to time.

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