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mylen [45]
3 years ago
15

The value of a stock drops 4 points each day for five straight days. What is the net change in the value of the stock? Write you

r expression and represent the daily change in value as an integer.
Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Answer:

Net change = -20  which represents a drop in price of stock by $20

Step-by-step explanation:

The value of a stock drops 4 points each day for five straight days

Lets assume initial value of stock to be $ y

Now lets reduce this value by 4 for 5 straight days

Day                                new stock value in $         daily change as an Integer

Day 1                                   y-4                                  (y-4)-y= y-4-y = -4

Day 2                                 (y-4)-4 = y-8                  (y-8)-(y-4) =y-8-y+4= -4

Day 3                                  (y-8)-4 = y-12               (y-12)-(y-8)= y-12-y+8 = -4

Day 4                                  (y-12)-4 = y-16              (y-16)-(y-12)=y-16-y+12=-4

Day 5                                   (y-16)-4 = y-20           (y-20)-(y-16)=y-20-y+16=-4

The final value of stock in day 5 will be $ y-20

The net change is the difference in value of stock at day 1 and day 5

Day 1 = $ y

Day 5 = $ y-20

Net change= $(y-20)-$y

=y-20-y = -20

=20

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Answer:

a) P(male=blue or female=blue) = 0.71

b) P(female=blue | male=blue) = 0.68

c) P(female=blue | male=brown) = 0.35

d) P(female=blue | male=green) = 0.31

e) We can conclude that the eye colors of male respondents and their partners are not independent.

Step-by-step explanation:

We are given following information about eye colors of 204 Scandinavian men and their female partners.

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Blue        78         23            13          114

Brown     19         23            12          54

Green     11           9             16          36

Total      108       55            41          204

a) What is the probability that a randomly chosen male respondent or his partner has blue eyes?

Using the addition rule of probability,

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P(male=blue or female=blue) = P(male=blue) + P(female=blue) - P(male=blue and female=blue)

P(male=blue or female=blue) = 114/204 + 108/204 − 78/204

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b) What is the probability that a randomly chosen male respondent with blue eyes has a partner with blue eyes?

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P(female=blue | male=blue) = 78/114

P(female=blue | male=blue) = 0.68

c) What is the probability that a randomly chosen male respondent with brown eyes has a partner with blue eyes?

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P(female=blue | male=brown) = 19/54

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d) What is the probability of a randomly chosen male respondent with green eyes having a partner with blue eyes?

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P(female=blue | male=green) = 11/36

P(female=blue | male=green) = 0.31

e) Does it appear that the eye colors of male respondents and their partners are independent? Explain

If the following relation holds true then we can conclude that the eye colors of male respondents and their partners are independent.

∵ P(B | A) = P(B)

P(female=blue | male=brown) = P(female=blue)

or alternatively, you can also test

P(female=blue | male=green) = P(female=blue)

P(female=blue | male=blue) = P(female=blue)

But

P(female=blue | male=brown) ≠ P(female=blue)

19/54 ≠ 108/204

0.35 ≠ 0.53

Therefore, we can conclude that the eye colors of male respondents and their partners are not independent.

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