3 consecutive integers is 183?

When a person 6 feet tall casts a shadow

yan [13]

Answer:

75 feet

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the area of the following shapes:

Annette [7]

Answer:

24 square units

Step-by-step explanation:

You apply area of a trapezium

5 0

3 years ago

Give the expression 4n^2t/2n^t-1, write the expression as a binomial.

lubasha [3.4K]

binomial is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

We sometimes need to expand binomials as follows:

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3a2b + 3ab2 + b3

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

(a + b)5 = a5 + 5a4b + 10a3b2 + 10a2b3 + 5ab4 + b5

Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.

Pascal's Triangle

We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

You can use this pattern to form the coefficients, rather than multiply everything out as we did above.

The Binomial Theorem

We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

Properties of the Binomial Expansion (a + b)nThere are \displaystyle{n}+{1}n+1 terms.The first term is an and the final term is bn.Progressing from the first term to the last, the exponent of a decreases by \displaystyle{1}1 from term to term while the exponent of b increases by \displaystyle{1}1. In addition, the sum of the exponents of a and b in each term is n.If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.

7 0

3 years ago

To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 52 numbers (1 through 52). The orde

miv72 [106K]

Answer:

The answer is 20,358,520

Step-by-step explanation:

Selecting 6 numbers from a collection of 52 numbers regardless of order involves a combination.

Note: if regards was taken into order of selection, this would be a permutation.

Hence, the different 6 number selections out of 52 is

52C6 = 52! / [6!*(52-6)!]

= 52!/(6!*46!)

= 20,358,520

7 0

3 years ago

Before we use an applet to simulate the selection of random samples from this population, let’s make sure we are clear about who

Sauron [17]

Answer:

D) college students

The college students are best describes the population

Step-by-step explanation:

Explanation:-

Introduction:-

The outcome of a statistical experiment may be recorded either as a numerical value or as a descriptive representation.

Example:-

when a pair of dice are tossed and the sum of the numbers on the faces is the outcome of interest, we record a numerical value.

If the students of a certain school are given blood tests and the type of blood is of interest, we record a numerical value.

In particular study, the number of possible observations may be small, large but finite or infinite.

Example :- 1

In the classification of blood types we can only have as many observations as there are students in the school.

Therefore the results are finite number of observations.

Example :- 2

If we could toss a pair of dice indefinitely and record the sums occur, we would obtain an infinite set of values .

Population:-

The total of observations which we are concerned , whether this number is finite or infinite , this is called the population

The number of observations in the population is defined to be the size of the population.

Example :- If there are 600 students in the school that we classified according to blood group, we say that the population of size is 600.

Sample:- A sample is subset of a population

Therefore in given data

The college students are best describes the population

Female college students , part -time college students , and female part-time college students are samples it will come from population

7 0

3 years ago