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kupik [55]
3 years ago
6

If angle AEB has its vertex on the center of a circle and its endpoints on the circle, what is it?

Mathematics
1 answer:
Inessa [10]3 years ago
3 0
1. Vertex E is the center of the circle, A and B are on the circle.

2. Any angle with these properties (i. E is center, AE and AB are radii) is called a central angle.

3. Check the picture. 

4. An important property of these angles is that the measure of the arc AB = m(AEB)

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A board game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5. What is a
timurjin [86]

Answer:

From the choices given, the most reasonable estimate is 25.

Step-by-step explanation:

5 sections on the spinner means there is a 1/5 chance of landing on any of the sections each spin.

This means landing on a section labeled 5 should happen 1/5(150) = 30 times.  The closest option to this is 25.

6 0
3 years ago
According to General Social Survey of 2016, the population distribution of number of years of education for self-employed indivi
nikdorinn [45]

Answer:

a) Mean is 12.9

b) Standard Error

i) n = 16, Standard Error = 1

The shape of the sampling distribution means is not normal

ii) n = 49 , Standard Error = 0.5714285714

The shape of the sampling distribution means is normal

iii) n = 121, Standard Error = 0.3636363636

The shape of the sampling distribution means is normal

c)Describe the pattern as n increases

As the number of random samples(n) increases the value for the standard error decreases

Step-by-step explanation:

Central Limit Theorem states that

if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.

a) 16 residents

Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√16

= 4/4

= 1

n < 30, hence, The shape of the sampling distribution means is not normal

b) 49 residents

= Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√49

= 4/7

= 0.5714285714

n > 30, hence, The shape of the sampling distribution means is normal

c) 121 residents

Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√121

= 4/11

= 0.3636363636

n > 30, hence, The shape of the sampling distribution means is normal

Describe the pattern as n increases

As the number of random samples(n) increases the value for the standard error decreases

3 0
3 years ago
Write the equation of a circle centered at the
Fudgin [204]

Answer:

(x+4)^2+(y+6)^2=100

Step-by-step explanation:

Given a circle centred at the point P(-4,-6) and passing through the point

R(2,2).

To find its equation, we follow these steps.

Step 1: Determine its radius, r using the distance formula

For point P(-4,-6) and R(2,2)

\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Radius=}\sqrt{(2-(-4))^2+(2-(-6))^2} \\=\sqrt{(2+4))^2+(2+6)^2}\\=\sqrt{6^2+8^2}\\=\sqrt{100}\\Radius=10

Step 2: Determine the equation

The general form of the equation of a circle passing through point (h,k) with a radius of r is given as: (x-h)^2+(y-k)^2=r^2

Centre,(h,k)=P(-4,-6)

r=10

Therefore, the equation of the circle is:

(x-(-4))^2+(y-(-6))^2=10^2\\\\(x+4)^2+(y+6)^2=100

3 0
2 years ago
Please help me i cannot understand these Questions
elixir [45]
Where are the questions
6 0
2 years ago
24. Which measurement is equivalent to 10 g?<br> a. 1 dag<br> b. 1 dg<br> c. 1 cg<br> d. 1 hg
Liono4ka [1.6K]

Answer:

  a.  1 dag

Step-by-step explanation:

The list of SI prefixes is attached. Each has an abbreviation that can be used with the abbreviation for the SI unit of interest.

<h3>Application</h3>

A factor of 10 is signified by the prefix deka-, abbreviated "da". Then 10 grams is 1 dekagram, or 1 dag.

7 0
2 years ago
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