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bagirrra123 [75]
3 years ago
8

The image represents what geometric construction?

Mathematics
2 answers:
boyakko [2]3 years ago
8 0
<span>C) 
Parallel lines construction  


because they are parallel to each other</span>
ratelena [41]3 years ago
6 0

Answer:

C) Parallel lines construction

Step-by-step explanation:

We have to find the image which geometric construction  represents.

Draw  a lien which is parallel to given line and passing  through a given point

Construction:

Step 1: Draw  a line with the help of straightedge.

Step 2: Take a point through which parallel line has to be draw and the point should not be on the given  line.

Step 3: Now draw a transversal line with the help of straightedge  through given point which intersects the given line.

Step 4:Now, put the compass on on intersecting point of transversal line and given line and draw an arc.

Step 5.Now, put the compass on the intersection point of arc and transversal line and draw an arc which cut the given line .It is the intersection point of given line and arc.

Step 6.Now,without touching compass wideness .Measure the arc and draw same arc as we draw before on given line.

Step 7: Now, draw a line which intersect the arc and passing through the given point and parallel to given line.

Hence, given image shows parallel lines construction.

Option C is true.

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281,000

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3 years ago
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Answer:

4) The limit does not exist.

General Formulas and Concepts:

<u>Calculus</u>

Limits

  • Right-Side Limit:                                                                                             \displaystyle \lim_{x \to c^+} f(x)
  • Left-Side Limit:                                                                                               \displaystyle \lim_{x \to c^-} f(x)

Limit Rule [Variable Direct Substitution]:                                                             \displaystyle \lim_{x \to c} x = c

Step-by-step explanation:

*Note:

For a limit to exist, the right-side and left-side limits must be equal to each other.

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x ,\ x < 5\\8 ,\ x = 5\\x + 3 ,\ x > 5\end{array}

<u>Step 2: Find Left-Side Limit</u>

  1. Substitute in function [Left-Side Limit]:                                                       \displaystyle \lim_{x \to 5^-} 5 - x
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                          \displaystyle \lim_{x \to 5^-} 5 - x = 5- 5 = 0

<u>Step 2: Find Left-Side Limit</u>

  1. Substitute in function [Right-Side Limit]:                                                     \displaystyle \lim_{x \to 5^+} x + 3
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8

∴ since  \displaystyle \lim_{x \to c^+} f(x) \neq \lim_{x \to c^-} f(x)  ,  \displaystyle  \lim_{x \to 5} f(x) = \text{DNE}

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0
3 years ago
A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats
marissa [1.9K]

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = <u><em>Number of hits made by a baseball player</em></u>

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......

where, n = number of trials (samples) taken = 7 at-bats

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SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

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4 years ago
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