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3 years ago

Fx) = -3x² + 2x - 7, then f(-1) =

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

Given:

The function is

$f(x)=-3x^2+2x-7$

To find:

The value of f(-1).

Solution:

We have,

$f(x)=-3x^2+2x-7$

Putting x=-1, we get

$f(-1)=-3(-1)^2+2(-1)-7$

$f(-1)=-3(1)-2-7$

$f(-1)=-3-9$

$f(-1)=-12$

Therefore, the value of f(-1) is -12.

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3 years ago

What is the ratio of the number of days in the week that do not begin with the letter T to the total numbers of days in the week

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3 years ago

Please help! I don't understand how to solve this problem

Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

$S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547$

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

$M = z\frac{\sigma}{\sqrt{n}}$

$0.006 = 1.96\frac{1.1547}{\sqrt{n}}$

$0.006\sqrt{n} = 1.96 \times 1.1547$

$\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}$

$(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2$

n = 142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

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1 year ago

Help with number 7!! You don’t have to do it but how do you do the problem??

musickatia [10]

80 * 5/8 will give you how many are thoroughbreds.

80 * 5/8 = 50

Now subtract this from all of the horses.

80 - 50 = 30.

There are 30 quarter horses.

OR If 5/8 of the horses are thoroughbreds, then 3/8 are quarter horses.

80 * 3/8 = 30.

6 0

3 years ago

Read 2 more answers

Specify what an individual unit is in each of the following studies. Then specify what two variables were measured on each unit.

r-ruslan [8.4K]

Answer:

a) Unit: College Student

Variables of measurement: Procrastination and illness habits.

b) Unit: SUV cars

Variables: Manufacturing and car damage for two car manufactures.

Step-by-step explanation:

We are given the following in the question:

In a research, a unit is a single individual or object that is measured.

a) A study finds that college students who often procrastinate tend to be sick more often than students who do not procrastinate.

Since college students are asked about procrastination, then the unit in this study is college students.

Unit: College Student

Variables of measurement: Procrastination and illness habits.

b) A study finds that sport utility vehicles (SUVs) made by one car manufacturer tend to be more heavily damaged in a crash test than SUVs made by a second car manufacturer.

Since all SUVs cars are considered, the unit in this research is SUV cars

Unit: SUV cars

Variables: Manufacturing and car damage for two car manufactures.

7 0

3 years ago

Fx) = -3x² + 2x - 7, then f(-1) =​

Fx) = -3x² + 2x - 7, then f(-1) =