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White raven [17]
3 years ago
8

Line a and line b are parallel. Which is a true statement about the lines?

Mathematics
1 answer:
slamgirl [31]3 years ago
5 0

Where is the answer choice????

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8^9•8^7<br><br> rewrite the following expression using each base only once
Alex787 [66]

Answer:

8^{16}

Step-by-step explanation:

8^9 \cdot 8^7

Use the rule

a^m \times a^n = a^{m + n}

8^9 \times 8^7 = 8^{9 + 7} = 8^{16}

5 0
2 years ago
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
5208 divided by 4 in long division
Veronika [31]

Answer:

 1 3 0 2

4 5 2 0 8

− 4      

 1 2    

− 1 2    

   0 0  

 −   0  

     0 8

   −   8

       0

Step-by-step explanation:


4 0
3 years ago
How do I solve (21/12)/(7/12) ?<br>Is the answer 3?
alukav5142 [94]
It is! When you're doing a fraction specifically like that, the denominators cancel out. Therefore you can get rid of the 12. It just becomes 21/7, which as you know is 3.

Hope that helps :)
5 0
3 years ago
Can someone plz tell me the answer and how to do this math problem?
olasank [31]
Start by taking away 22.36 from each side so that you are left with 4.73c = 42.57
And then divide each side by 4.73 so you will get c = 9
5 0
3 years ago
Read 2 more answers
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