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posledela
3 years ago
8

Cape Beale Lighthouse, BC, is

Mathematics
1 answer:
Elena L [17]3 years ago
5 0

Answer:

Unsafe area

Step-by-step explanation:

Data provided in the question

51 m above sea level

The Safe distance from cliff = 75 m

The 10 m above ground and angle of depression of 50°

Based on the above information,

The equation is as follows

tan 50 = (51 + 10) ÷ x

where

x =  distance of the boat

Now after solving this,

x = 51.2 m  

Therefore we conclude that the boat is in an unsafe area

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Assortative mating is a nonrandom mating pattern where individuals with similar genotypes and/or phenotypes mate with one anothe
scZoUnD [109]

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.

              Blue    Brown     Green    Total

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,

∵ P(A or B) = P(A) + P(B) - P(A and B)

For the given case,

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

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

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

As per the rule of conditional probability,

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?

As per the rule of conditional probability,

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

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

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

As per the rule of conditional probability,

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.

7 0
2 years ago
The greatest power failure in the history of Dallas, Texas lasted
Dmitriy789 [7]

Answer:

its 780 minutes

Step-by-step explanation:

multiply 13 by 60

5 0
3 years ago
Raj is visiting the united states and needs to convert 2000 rupees to us dollars
Daniel [21]
2,000 rupees to U.S. dollars is $29.50

Hope this helps :)
7 0
3 years ago
Read 2 more answers
What is 4 2/7 * 2 1/5 <br>A. 9 3/7<br>B. 9 1/7<br>C. 8 1/7<br>D. 8 2/35​
Nina [5.8K]
9 3/7 would be your answer
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3 years ago
The product of ten and a number decreased by seven ?
tester [92]

Answer:

10x-7

Step-by-step explanation:

3 0
3 years ago
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