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m_a_m_a [10]
2 years ago
13

23. A grid shows the positions of a subway stop and your house. The subway stop is located at (-5, 2) and your house is located

at (-9, 9). What is the distance, to the nearest unit, between your house and the subway stop?
Mathematics
1 answer:
Sindrei [870]2 years ago
7 0
(-5, 2)(-9,9)
D = √( (x2 - x1)^2 + (y2 - y1)^2 )
D = √( (-9+5)^2 + (9 - 2)^2 )
D =√( (-4)^2 + (7)^2 )
D = √( 16 + 49 )
D = √65
D = 8
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3. The probability of a marksman scoring a bulls-eye on any shot is 0.26. The probability
Misha Larkins [42]

Answer:

a) 0.68

b) 0.08

c) 0.74

Step-by-step explanation:

Given that:

Probability of hitting bulls eye, P(B) = 0.26

Probability of an inner, P(I) = 0.42

Probability of an outer, P(O) = 0.24

a) Probability of hitting an inner or better (inner or bulls eye):

P(I or B) = P(I \cup B)

Formula for P(P \cup Q)  where P(P) and P(Q) are the probabilities of two mutually exclusive events i.e. having nothing in common:

<em>P(P </em>\cup<em> Q)  = P(P) + P(Q)</em>

P(I \cup B)  = P(I) + P(B) = 0.26 + 0.42 = <em>0.68</em>

b) Probability of failing to hit the target:

P(F) = 1 - (P(B)+P(I)+P(O))

P(F) = 1 - (0.26 + 0.42 + 0.24)) = 1 - 0.92 = <em>0.08</em>

c) Probability of failing to score a bulls eye:

P(B)' = 1 - P(B) = 1 - 0.26  = <em>0.74</em>

So, the answers are:

<em>a) 0.68</em>

<em>b) 0.08</em>

<em>c) 0.74</em>

8 0
2 years ago
Galactic Rotation Speed. We are located about 27,000 light-years from the galactic center and we orbit the center about once eve
Alexxandr [17]

Answer:

speed = 796142.197 km/hr

Step-by-step explanation:

solution

we consider here orbit around galactic center is circular so

circumference formula will be here

circumference C = 2πr   ........1

here we know r = 27000

so

circumference C = 2 π × 27000

C = 169560 light year

so

we travel 169560 light year in 230000000 years

so distance will be

distance = \frac{169560}{230000000}

distance = 0.00073721 light year/year

and we know 1 year = 8760 hours

so 1 light year = 9.46027 ×10^{12} km

so

sped of moving is

speed = 0.00073721 × 9.46027 × \frac{10^{12}}{8760}  km/hr

speed = 796142.197 km/hr

5 0
2 years ago
to estimate the number of bison in the area, researchers put marks on 160 bison later on a flight over the area the researchers
Dvinal [7]
Its either -126 or 160
5 0
2 years ago
A small dealership leased 21 Suburu Outbacks on 2-year leases. When the cars were returned at the end of the lease, the mileage
Liula [17]

Answer:

yes 30 is the answer

Step-by-step explanation:

4 0
2 years ago
Consider the roles of the moderator and the participants in a discussion. Who performs each task listed below?
jonny [76]

Answer:

Moderator, participant, moderator, and moderator

4 0
2 years ago
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