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zmey [24]
3 years ago
12

What is the domain of the function represented by this graph

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0

Answer:

Step-by-step explanation:

D. all real numbers​

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A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle? (1 point) (x - 1)2 + (y + 2)2 =
Nina [5.8K]

Answer:

(x + 1)^2 + (y - 2)^2 = 3^2 = 9

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

Here, h = -1, k = 2 and r = 3, so the equation of this particular circle is

(x + 1)^2 + (y - 2)^2 = 3^2 = 9.

8 0
3 years ago
A researcher surveyed 220 residents of a city about the number of hours they
olga55 [171]

Answer:

Margin of error of 0.0485 hours.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

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

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

\sigma = 0.35, n = 220

The margin of error is of:

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

M = 1.96\frac{0.35}{\sqrt{200}}

M = 0.0485

Margin of error of 0.0485 hours.

5 0
3 years ago
Which steps will help prevent the introduction of invasive species into an area?
madreJ [45]

Answer:

answer becit uses b

Step-by-step explanation:

but yass queen but annyway

4 0
3 years ago
Read 2 more answers
A normal distribution has a mean of 4 and a standard deviation of 1. What percent of values are from 4 to 7?
Igoryamba

Answer:

49.865%

Step-by-step explanation:

Given that:

μ = 4 ; σ = 1

For x = 4

P(x < 4) :

Z score (x - μ) / σ

P(x < 7) - P(x < 4)

((7 - 4) / 1) - ((4 - 4) / 1)

P(Z < 3) - P(Z < 0)

Usibg the Z probability calculator :

0.99865 - 0.5

= 0.49865

= 0.49865 * 100

= 49.865%

6 0
3 years ago
Use the zero product property to find the solutions to the equation x^2-15x-100=0
7nadin3 [17]

Answer:

x = 20 or x = -5

Step-by-step explanation:

To solve the quadratic equation we must factor the expression

Look for 2 numbers that when you multiply them, obtain the result -100 and when you add them, obtain the result -15.

You can verify that these numbers are -20 and 5

-20 +5 = -15\\\\-20 * 5 = -100

Then the polynomial factors are

(x-20) (x + 5) = 0

 The zero product property says that if two terms a * b = 0 then

a = 0 or b = 0

So

(x-20) = 0 or (x + 5) = 0

x = 20 or x = -5

6 0
3 years ago
Read 2 more answers
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