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mariarad [96]
3 years ago
10

(4x – 4)(5x + 2) Find each product

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

To multiply these two binomials, we will use the F.O.I.L. method.

First-Outer-Inner-Last

First take the product of the first terms, which is 20x².

Then take the product of the outer terms which is 8x.

Then the product of the inner terms which is -20x.

Lastly take the product of the last terms which is -8.

Now let's combine like terms.

So our final answer is 20x^2 - 12x - 8.

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Nadia wants to estimate the mean driving range for her company's new electric vehicle. She'll sample vehicles and measure each o
Andrew [12]

Using the z-distribution, it is found that the smallest sample size required is given by:

B) 7 vehicles.

<h3>What is the margin of error for a z-distribution confidence interval?</h3>

It is given by:

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

In which:

  • z is the critical value.
  • \sigma is the population standard deviation.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The margin of error and the population standard deviation are given by, respectively:

M = 10, \sigma = 15.

Then, we solve for n to find the needed sample size.

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

10 = 1.645\frac{15}{\sqrt{n}}

10\sqrt{n} = 1.645 \times 15

\sqrt{n} = 1.645 \times 1.5

(\sqrt{n})^2 = (1.645 \times 1.5)^2

n = 6.1

Rounding up, 7 vehicles have to be sampled, hence option B is correct.

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

7 0
3 years ago
Find the value of k if area of triangle is 4 unit and vertices are (-2,0),(0,4),(0,k)
serg [7]
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Pleaseeeee helllllppp
zheka24 [161]
Its either 2 or 12 im not too sure most likely 2

7 0
4 years ago
Solve the equation 3x + 2y = 1
puteri [66]

Answer:  x= 1/3 - 2/3y

Step-by-step explanation:

8 0
3 years ago
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A small business had profits of $200, $300, $400, $500 and $500 over the 5 months. How much profit should the business make in t
iris [78.8K]

Answer:

$1400

Step-by-step explanation:

x= profit of 6th month

(200+300+400+500+500+x)

-------------------------------------- = 550

6

(1900+x)=3300

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2 years ago
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