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Vlada [557]
3 years ago
7

Which of the following is a step in constructing a circle circumscribed about a triangle

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Answer:

Construct the perpendicular bisectors of each side

Choice A is correct

Step-by-step explanation:

Circumscribe means to draw on the outside of a geometric figure just touching the corner points but never crossing.

The steps in constructing a circle circumscribed about a triangle;

Construct the perpendicular bisector of one side

Construct the perpendicular bisector of another side

Where the lines cross is the center of the Circumscribed circle .

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Simplify fully: 12/5b² ÷ 3/10ab​
Ber [7]

Answer:

8a/b

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3 years ago
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Each side of the first figure is one unit copy and complete the table then find the function rule for the relationship between t
sergij07 [2.7K]
Perimeter of a shape is the total length of its border

Figure 1, perimeter = 5 units
Figure 2, perimeter = 7 units
Figure 3, perimeter = 9 units
Figure 4, perimeter  = 11 units

Notice that the perimeter is forming an Arithmetic sequence; 5, 7, 9, 11 with a common difference of 2

The general form of an Arithmetic sequence is 

n_{th}term=dn+0^{th}term

Where 'd' is a common difference and 'n' is the number of terms.

We have d = 2, and
zero term = the term before the first term = 3

n_{th}term=2n+3 ⇒ This is the rule to find the perimeter of the next figures

8 0
3 years ago
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 33% of all homeowners are ins
Lina20 [59]

Answer:

(a) The probability mass function of <em>X</em> is:

P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...

(b) The most likely value for <em>X</em> is 1.32.

(c) The probability that at least two of the four selected have earthquake insurance is 0.4015.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number among the four homeowners  who have earthquake insurance.

The probability that a homeowner has earthquake insurance is, <em>p</em> = 0.33.

The random sample of homeowners selected is, <em>n</em> = 4.

The event of a homeowner having an earthquake insurance is independent of the other three homeowners.

(a)

All the statements above clearly indicate that the random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 4 and <em>p</em> = 0.33.

The probability mass function of <em>X</em> is:

P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...

(b)

The most likely value of a random variable is the expected value.

The expected value of a Binomial random variable is:

E(X)=np

Compute the expected value of <em>X</em> as follows:

E(X)=np

         =4\times 0.33\\=1.32

Thus, the most likely value for <em>X</em> is 1.32.

(c)

Compute the probability that at least two of the four selected have earthquake insurance as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

              =1-{4\choose 0}\ (0.33)^{0}\ (1-0.33)^{4-0}-{4\choose 1}\ (0.33)^{1}\ (1-0.33)^{4-1}\\\\=1-0.20151121-0.39700716\\\\=0.40148163\\\\\approx 0.4015

Thus, the probability that at least two of the four selected have earthquake insurance is 0.4015.

3 0
3 years ago
Find the prime factorization of 210.
Xelga [282]
5 x 2 x 7 x 3
Hope it helped! :)
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3 years ago
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Can someone help me out
Lapatulllka [165]
I think it is number 2, x^2-x+2
8 0
3 years ago
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