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Lesechka [4]
2 years ago
8

A local petting zoo had a total of 98,464 visitors last year. The zoo was open every day except thanksgiving, Christmas, and New

Year's Eve. What was the average number of visitors per day
Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
8 0

Answer:

The average number of visitors per day is 272.

Step-by-step explanation:

Total number of visitors in the zoo in a year =  98,464

Now,we know that  1 YEAR = 365 DAYS

Also, the zoo was closed on thanksgiving, Christmas, and New Year's Eve

So, the Number of days zoo was open = Total Days in  year -  3 days

= 365 - 3 = 362 days

⇒Number of visitors in  362 days =  98,464

So, \textrm{Number of visitor per day} =  \frac{\textrm{Total number of visitors in 352 days}}{\textrm{352 days}}

= \frac{98,464}{362}  = 272

or, the number of people visiting per day is 272.

Hence,  the average number of visitors per day is 272.

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Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 5.08 and angle θA = 25.6 ∘ measured in the sense from the +x
alexgriva [62]

Answer:

(A⃗ ×B⃗ )⋅C⃗ = - 76.415

Step-by-step explanation:

First we need to calculate (A⃗ ×B⃗ ) :

(A⃗ ×B⃗ ) = A.B.sin (α).n

Where A is the magnitude of A⃗

Where B is the magnitude of B⃗

Where α is the angle between A⃗ and B⃗ = 63.9 - 25.6 = 38.3

Finally n is the vector orthogonal to A⃗ and B⃗

n magnitude is 1 and his direction is given by the right hand-rule

so n = ( 0 , 0 , 1 )

(A⃗ ×B⃗ ) = A.B.sin (α).n = 5.08 . 3.94 . sin (38.3) . (0 , 0 , 1 ) = (0,0,12.4)

C⃗ can be written as C.(0,0,-1) because of his +z - direction

C.(0,0,-1) = 6.16.(0,0,-1) = (0,0,-6.16)

(A⃗ ×B⃗ )⋅C⃗ = (0,0,12.4).(0,0,-6.16) = -76.41480787 = -76.415

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3 years ago
Express the relation {(-3, 4), (-1, 2), (3, -4), (2, -2)} as a table and a graph. What is the domain and range?
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Answer:

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Step-by-step explanation:

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2. Find the area of the parallelogram.

A.38cm

B.60cm

C.70cm

D.186cm

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What is the midpoint of a segment with endpoints at the point negative 4 comma negative 8 and the point 8 comma 10?
allochka39001 [22]

Answer:

Question Answer

What is the length of a segment when the coordinates of its endpoints are (-4,5) and (-6,9)? 4.5

What is the length of a segment when the coordinates of its endpoints are (-4,5) and (-6,9)? 10.8

Step-by-step explanation:

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2 years ago
The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a differe
monitta

Options:

a. Nikki's proposed placement will light a greater area than Dylan's placement.

b.  Dylan's proposed placement will light a greater area than Nikki's placement.

c.  Both proposed placements will light the same sized area.

d. Nikki's proposed placement will light more than half the yard.

e. Dylan's proposed placement will light more than half the yard.

f.  Dylan's proposed placement will light exactly half of the yard.

g. Nikki's proposed placement will light less than half of the yard.

Answer:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Step-by-step explanation:

The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft

Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.

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7 0
3 years ago
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