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Anna71 [15]
2 years ago
13

In the figure below the y-axis points north, the x-axis points east, and the xy-plane corresponds to the surface of the water. S

uppose a boat is at point B, a submarine is 5 units below point S, and a helicopter is 13 units above point H.
Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
4 0
So the question ask to find the displacement vector and the distance from the submarine to the boat. Base on my calculation the displacement value of the given data you give is <(5-3),(1-4)(-5-0)>. I hope you are satisfied with my answer and feel free to ask for more 
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Can u help me with (29,30,31)
Gennadij [26K]

Answer:

v = -5, t = -13. , d = -12

Step-by-step explanation:

29) 3v - 9v = 30

Simplifying gives us -6v = 30. Then dividing both sides by -6 reaches our answer of v = -5.

30)12t - 8t = -52

Simplifying gives us 4t = -52. We can divide both sides by 4 to reach a conclusion that t = -13.

31) -8d - 5d + 7d = 72

Simplifying gives us -6d = 72. We can then divide both sides by -6. In doing so, we can achieve our answer that d = -12.

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3 years ago
Sam read 60 pages, which is 3/4 of the book. How many pages are there in the book?
Elenna [48]

Divide the pages read by the portion read:

60/ 3/4 = 60 x 4/3 = 240/3 = 80

The book has 80 pages.

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3 years ago
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8. f(x) = 2x + 2<br> what’s the solve for x ?
Aleksandr-060686 [28]

Answer:

X=-1

Step-by-step explanation:

0=2x+2

subtract 2 out

-2 = 2x

divide 2 on both sides x = -1

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3 years ago
16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours
Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

n = 2*6 = 12

Sale on 30% of these calls, so p = 0.3

a. The probability of making exactly four sales.

This is P(X = 4).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

E(X) = np

So

E(X) = 12*0.3 = 3.6

The mean number of sales in the two-hour period is 3.6.

4 0
3 years ago
15. Express 2/5 as a percentage​
blsea [12.9K]

Answer:

40\%

Step-by-step explanation:

\frac{2}{5}  \times 100 = 40\%

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