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photoshop1234 [79]
3 years ago
10

Given the explicit formula an=3(-4)n-1, what is the sixth term?

Mathematics
1 answer:
prisoha [69]3 years ago
7 0

Answer:

-60

Step-by-step explanation:

3(-4)(5)= -60

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Three cubes of each side 4cm are joining end to end. Find the surfacing area of resulting cuboid.
nignag [31]
You would have to count the faces of cubes after you’ve joined them and then add all the surface areas up of each individual cube . I drew a pic to help you
3 0
3 years ago
Find the length of side b below using Law of Sines. Give the exact value as an expression and an approximation to the nearest te
denis-greek [22]

Answer:

b ≈ 7.8

Step-by-step explanation:

using the law of sines

∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then

\frac{b}{sin40} = \frac{7}{sin35} ( cross- multiply )

b × sin35° = 7 × sin40° ( divide both sides by sin35° )

b = \frac{7sin40}{sin35} ≈ 7.8 ( to the nearest tenth )

4 0
2 years ago
The city of Raleigh has 11700 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe
Vesnalui [34]

Answer:

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

The expected numbers of voters who would vote for Brown is 3604.

Step-by-step explanation:

The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.

The sample statistic can be used to estimate the population parameter.

They are known as the point estimate of the parameter.

The sample proportion of a variable <em>X</em> is given by:

\hat p=\frac{X}{n}

It is provided that of the <em>n</em> = 250 registered voters selected, the number of voters who said they would vote for Brown is <em>X </em>= 77.

Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:

\hat p=\frac{X}{n}

  =\frac{77}{250}\\

  =0.308

Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:

E(X)=N\times \hat p

         =11700\times 0.308\\=3603.6\\\approx 3604

Thus, the expected numbers of voters who would vote for Brown is 3604.

6 0
3 years ago
N is a rational number.m is an irrational number.n2 cannot be an irrational number? why or why not
Korolek [52]

If n is rational, it means that

n\in\mathbb{Q}\Rightarrow n=\frac{p}{q},\quad p\in\mathbb{Z},\quad q\in\mathbb{Z}^*

Therefore when we do n² we can write it as

n^2=\frac{p^2}{q^2},\quad p\in\mathbb{Z},\quad q\in\mathbb{Z}^*

Remember that the product of two integer numbers is also an integer, therefore we can guarantee that

p^2\in\mathbb{Z}\text{ and }q^2\in\mathbb{Z}^*

Then we can confirm that n² is the quotient of two integers and the denominator is not zero, therefore, n² is always rational, it cannot be an irrational number

8 0
1 year ago
If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?
IRINA_888 [86]

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

6 0
3 years ago
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