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Verizon [17]
3 years ago
11

AT the local zoo, the aquarium can be seen from the Reptile Room and the Amphibian Arena. What is the total area of both rooms a

nd the aquarium?

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

The total area of both rooms and the aquarium is equal to 10,932 ft²

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

the length sides of Aquarium are

(83-32) x (72-52)-----> 51 ft x 20 ft

Area reptile room=(83*72)-area of aquarium----> 83*72-51*20---> 4,956 ft²

[ total area of both rooms]=2*4,956-----> 9,912 ft²

I'm assuming that the two areas are equal

Area of aquarium=51*20=1,020 ft²

therefore

the total area of both rooms and the aquarium is equal to

9,912 ft²+1,020 ft²=10,932 ft²

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4. The stock market goes up more often that it goes down. Assume the probability that the stock market goes up in a randomly sel
tekilochka [14]

Answer:

a: 0.0022

b: 0.00002

c: 0.0002

d: 924

e:  0.0025

f: 0.6652

g:  Expected value 7.8 months, standard deviation 1.77 months

Step-by-step explanation:

This is a binomial situation.  Either the market goes up, or it doesn't.  (It could stay the same, but it doesn't offer that as an option, so we don't include it).

When calculating probability of a binomial situation, use the formula

(nCr)(p^r)(q^(n-r))   where p is the probability of success, q is the probabilty of failure, n is the the number of times the situation occurs, and r is the desired number of successful outcomes.  The function nCr tells us how many ways you can choose r items from n total items.  In this case, we are choosing some number of months, r, from 12 months, n

For our situation we have:  n = 12, r = 12, p = 0.6, q = 0.4,

For a:   (12C12)(0.6^12)(0.4^0) = (1)(0.0022)(1) = 0.0022

We want all 12 months of success and no months of failure

For b:   (12C0)(0.6^0)(0.4^12) = (1)(1)(0.00002) = 0.00002

We want all months of failure, and no months of success

For c:   (0.6^6)(0.4^6) = 0.0002

We don't need the nCr function because it tells us that it we want 6 months of success followed by 6 months of failure.  There's only 1 way to do that, so there's nothing to count

For d:  12C6 = 924  

There are 924 different ways to the market can go up 6 times out of 12 months

For e:  (12C2)(0.6^2)(0.4^10) = (66)(0.36)(0.0001) = 0.0025

For f:  Add the following probabilities together...

(12C7)(0.6^7)(q^5) + (12C8)(0.6^8)(q^4) + (12C9)(0.6^9)(q^3)

+ (12C10)(0.6^10)(q^2) + (12C11)(0.6^11)(q^1) + (12C12)(0.6^12)(q^0)

= 0.6652

They are mutually exclusive, the probability for the union is zero because they can't happen at the same time

For g:  Find expected value with the formula E = np  , here n = 12, p = 0.6, so

E = 12(0.6) = 7.8 months

Find the standard deviation with the formula s = √(npq), or s = √(Eq), here q = 0.4, so s = √(7.8(0.4)) = 1.77 months

7 0
3 years ago
If Cara works 14 hours, she earns $84. If she works 19 hours, she earns $114. Let y represent the total amount of money that Car
seraphim [82]

Answer:

Step-by-step explanation:

14r=84, r=84/14=6, so the hourly rate is $6 an hour so

y(x)=6x

Since this is of the form y/x=k or y=kx it is directly proportional. Inverse proportion is of the form yx=k or y=k/x

7 0
2 years ago
WHICH EXPRESSION IS NOT EQUIVALENT?
s344n2d4d5 [400]

Answer:

C

Step-by-step explanation:

First, factor the original expression:

2x^2+10x+12\\2(x^2+5x+6)\\2(x+3)(x+2)

As we can see, D is the same as above. Eliminate D.

Go through each of the answer choices.

A:

(2x+4)(x+3)\\=2(x+2)(x+3)

This is equivalent to what we factored. Eliminate A.

B:

(2x+6)(x+2)\\=2(x+3)(x+2)

This is again equivalent to what we factored. Eliminate B.

C:

(2x+3)(x+4)\\

This cannot be simplified and it is not equivalent to what we have previously. C is not the equivalent expression.

3 0
3 years ago
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B)simplify the expression <br> 7x2 + 4x – 2 + 8x2 – 9x – 5
konstantin123 [22]

Answer:

=25x-7

Step-by-step explanation:

4 0
3 years ago
What happens to the ones digit when you add on tens?
Nata [24]

Answer:

nothing

Step-by-step explanation:

The ones digit will not change.....only the 'tens' digit will change...

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