Two ships leave whittier, Ak at 7 AM. The first ship sails towards Valdez on a 54° course at a constant rate of 36 mi/h. The second ship sails towards Knight island on a 144° course at a constant speed of 42 mi/h. Find the distance between the ships at 11 AM.

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Related Questions

2.25x -20 = 6.5x +14
Algebraic ExpressionsWhich of the following sets of ordered pairs represents a function? {(-2,1),(-1,3),(2,1),(-2,2)} {(-1,4),(1,4),(2,4),(-2,4)} {(-1,3),(-1,4),(-1,5),(-1,6)} {(2,2),(3,3),(4,4),(2,1)} Use complete sentences to describe the relationship between sets A and B if A is a subset of or is equal to B. A = {8} B = {7, 8, 9} Which of the following properties is a(b · c) = (a · b)c an example of? associative property commutative property multiplicative identity distributive property Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is m, a, e, i, o, u, t, h the empty set i a, e, i, o, u, y If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is {(7, -1),(2, -8),(0, 0),(6, 6)} {-8, -1, 0, 6} {0, 2, 6, 7} Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C. {} {a} {a, b, e, g, h, l, m, r, t, y} If A ⊂ B and A ∩ B = θ then which of the following can be concluded about the sets A and B? Set A has more elements in it than set B. Set A is the set containing zero. Set A is the empty set. Both sets A and B are the empty set. Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B. {} {a,e} {a, b, e, g, i, l, o, r, u} Which of the following properties is 5(3 + 2) = 15 + 10 an example of? associative property commutative property multiplicative identity distributive property Given f(x) = 3x - 1 and g(x)= -x + 6, find f(-2) + g(5). -6 6 8 List all of the elements of set A if A = {x|x is an integer and -6 ≤ x <0} {-6, -5, -4, -3, -2, -1, 0} {-6, -5, -4, -3, -2, -1} {-5, -4, -3, -2, -1}
A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 125 is selected and is used to estimate . Use z-table. What is the probability that the sample mean will be within +/- 8 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) What is the probability that the sample mean will be within +/- 17 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)
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-10n + 3(8+8n)=-6(n-4)

Which ordered pair is the vertex of y=lx+5l

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-5,0 is the correct answer .

One survey showed that among 785 randomly selected subjects who completed four years of college, 18.3% smoke and a 98% confidence interval for the true percentage of smokers among all people who completed four years of college is 15.1% to 21.6%. Based on the result, the smoking rate for those with four years of college appears to be substantially different than the 27% rate for the general population.a. Trueb. False

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Answer

a. True

Step-by-step explanation:

Based on this survey we estimate that about $18.3\%$ of the college students smokes. And a $98\%$ confidence interval is $[15.1\% ; 21.6\%]$ . So we know that our estimative for the smoking rate is in the confidence interval with $98\%$ certainty. We also know the estimative for the smoking rate in the general population is $27\%$ . So we can write the two possible hypothesis:

$H_0 =$ Smoking rate is equal to $27\%$ .

$H_1 =$ Smoking rate is not equal to $27\%$ .

We will reject the null hypothesis $(H_0)$ if the estimate doesn't fall into the confidence interval for the college students smoking rate.

Since this condition holds we reject the null hypothesis. So with $98\%$ certainty we say that the smoking rate for the general population is different than the smoking rate for the college students.

Given the graphs of f(x) = X - 8 and g(x) = -4x + 2, find the solution to this system of equations: Y - X = -8 and 4x + y = 2 A) (0, 2) B) (0.-8) C) (2, -6) D)

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Answer

The Answer is C) 2, -6

Step-by-step explanation:

Look at the graph as you can see there is only one solution to that graph and on the line intersected there is one point which that would be 2, -6.

Note: Understand that when asking about the point or something else look for the lines intersected each other then you could find your answer. If there is only one line then it is infinite solutions but if the lines don't intersect then it is a no solution.

Have a good day :)

Express the series using sigma notation. 6 + 9 + 12 + 15.

a
b
c
d

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Answer:

Option (d) is correct.

6 + 9 + 12 +15 = $\sum_(k=1)^(4)(3k+3)$

Step-by-step explanation:

Consider the given series expansion 6 + 9 + 12 +15.

since we have to write in series form of 3.

We first write each term of given series in term of 3k or 3k+3

6 can be written as 3(2) or 3(1)+3

9 can be written as 3(3) or 3(2)+3

12 can be written as 3(4) or 3(3)+3

15 can be written as 3(5) or 3(4)+3

Thus, we can write the given series as ,

$\sum_(k=2)^(5)3k$ or $\sum_(k=1)^(4)(3k+3)$

Since, we have options to choose.

From the given option (d) matches our result.

So, 6 + 9 + 12 +15 = $\sum_(k=1)^(4)(3k+3)$

Answer:

Step-by-step explanation:

Solve for x/4-x+2/6=x/3

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$(x)/(4) -( x+ 2 )/(6) = (x)/(3) \ \ \cdot 12\n \n3x-2(x+2)=4x\n \n3x-2x-4=4x \n \n3x-2x-4x=4 \n \n-3x =4\ \ / :(-3)\n \nx=-(4)/(3)\n \nx=-1(1)/(3)$

$(x)/(4) - (x+2)/(6) = (1)/(3) \ /\cdot12\n\n (x)/(4)\cdot12 - (x+2)/(6)\cdot12 = (1)/(3)\cdot12\n\n3x-2(x+2)=4\n\n3x-2x-4=4\n\nx=8$

Which of the following questions is a statistical question? A. How many professional sport leagues are there? B. Where do the professional sport leagues play? C. How many hours of professional training took place over the weekend? D. How many hours do you spend each week training for a sports league?

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Answer:

the answer is NOT A I got it wrong in FLVS

Step-by-step explanation:

Other Questions

The digit in the tens place is twice as big as the digit in the tens place in 182,437. A) True B) False

Rewrite the equation 4x + 4y = 20 in slope-intercept form.A. 4x + 4y – 20 = 0 B. y = –x + 5 C. x + y = 5 D. 4y = –4x + 20

Tricia manages the front office at a local doctor’s office and needs to figure out payroll for the front office clerk that is paid hourly. Tricia also hasto make sure that she keeps the front office clerk under 40 hours a week to avoid overtime pay. After reading the problem, what are you being asked to do? What information are you provided? What mathematical operation applies (addition, subtraction, multiplication or division) and write your equation in the box below. What are the steps to solve the problem? What is the answer to the question? Does your answer make sense? Why? The front office clerks time sheet reads as follows: Monday 480 minutes Monday 480 minutes Tuesday 450 minutes Tuesday 480 minutes Wednesday 495 minutes Wednesday 480 minutes Thursday 480 minutes Thursday 480 minutes Friday 300 minutes Friday 480 minutes Does Tricia need to pay the front desk office clerk overtime? After reading the problem, what are you being asked to do? What information are you provided? What mathematical operation applies (addition, subtraction, multiplication or division) and write your equation in the box below What are the steps to solve the problem? What is the answer to the question? Does your answer make sense? Why?

How many dollars is 16% of $ 655