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Readme [11.4K]
2 years ago
13

23. Geometric constructions require the following tools:

Mathematics
1 answer:
ANEK [815]2 years ago
6 0

Answer:

The correct option is;

Geometric constructions require the following tools;

A protractor, a straightedge, and a pencil

Step-by-step explanation:

The question relates to the tools required for a geometric construction. From the question options, the complete set  of tools with which a geometric construction is made comprises of the following

1) A protractor, which is used for angle measurements

2) A straightedge, which is used to draw lines which are straight or for checking the straightness of a line

3) A pencil, which is made up of a graphite stick reinforced by an enclosure of wood or other material, is used for creating visible marks of drawings or writing on paper or some other writing materials by physical abrasion

A compass is used for navigation of the geographic cardinal directions and comprises of a magnet.

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Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit
vovikov84 [41]

Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 40 students

            r = number of success = exactly 5

           p = probability of success which in our question is % of people

                 having blue eyes, i.e; 8%

<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)

        P(X = 5) =  \binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}

                      =  658008 \times 0.08^{5}  \times 0.92^{35}

                      = 0.1165

                

Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

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3 years ago
Add: 8p + (-6p6 + 5)
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Answer:

-6p^6 +8p +  5

Step-by-step explanation:

8p + -6p^6 + 5

-6p^6 +8p +  5

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