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2 years ago

Use braces and digits to indicate the set of whole numbers

Mathematics

1 answer:

Sergeeva-Olga [200]2 years ago

4 0

Whole numbers are numbers without decimal points greater than 0.

The set of whole numbers is:

$W =\{0,1,2,3,4.....\}$

In the introductory part of this solution, I stated that:

Whole numbers do not have decimal point
The smallest whole number is 0

This means that the following numbers are whole numbers:

1, 9, 10, 67

While the following numbers are not:

-1, 9.0, 1.0, -67

Let W be the set of whole numbers; the set is:

$W =\{0,1,2,3,4.....\}$

The dots after 4 means the set still continues

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Answer:

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So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

$ME = 50$ margin of error desired

$\sigma = 1000$ the standard deviation for this case

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=0.01$ . And for this case would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

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2 years ago

The functions g and h are given by g(x) = x + 1 and h(x) = x²

Delvig [45]

Answer:

x = - $\frac{3}{2}$ , x = 2

Step-by-step explanation:

To find h(g(x)) substitute x = g(x) into h(x) , that is

h(g(x))

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= (x + 1)²

= x² + 2x + 1

For h(g(x)) = 3x² + x - 5 , then

3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides

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(2x + 3)(x - 2) = 0 ← in factored form

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2 years ago

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Answer:

Area of the base is 10.5 cm².

Step-by-step explanation:

Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases

Vertical height = 6 cm

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From the formula,

63 = Area of the triangular base × 6

Area of the base = $\frac{63}{6}$

= 10.5 cm²

Therefore, area of the base is 10.5 cm².

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3 years ago

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