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2 years ago

HELP

2 answers:

7 0

I believe the answer is the ship is traveling at 21.25 MPH, started 10.5 miles from lighthouse and after 11 hours will be 244.25 miles from the lighthouse.

Afina-wow [57]2 years ago

7 0

<h2>Answer:</h2>

Ques 1)

After 11 hours, the cruise ship will be 244.25 nautical miles from the lighthouse.

Ques 2)

At the start of the journey, the cruise ship was 10.5 nautical miles from the lighthouse.

Ques 3)

The cruise ship is traveling at a speed of 21.25 nautical miles per hour.

<h2>Step-by-step explanation:</h2>

We are given a table that represents the number of hours and distance from the Lighthouse as:

Time (in hours) Distance from Lighthouse

(nautical miles)

2 53

4 95.5

6 138

10 223

12 265.5

As the speed is uniform hence, we can find the equation that represents the distance in term of the number of hours.

( As the speed is uniform hence, we get a constant slope i.e. we get a equation of a line)

As we know that the equation of a line passing through two points (a,b) and (c,d) is given by:

$y-b=\dfrac{d-b}{b-a}\times (x-a)$

Let (a,b)=(2,53) and (c,d)=(4,95.5)

where y denote the distance from lighthouse and x denotes the number of hours.

Hence, the equation of line is:

$y-53=\dfrac{95.5-53}{4-2}\times (x-2)\\\\\\y-53=21.25(x-2)\\\\y-53=21.25x-42.5\\\\y=21.25-42.5+53\\\\y=21.25x+10.5$

Now when x=11 we have:

$y=21.25\times 11+10.5\\\\\\y=244.25$

Hence,

After 11 hours, the cruise ship will be 244.25 nautical miles from the lighthouse.

Now when x=0 we have:

$y=21.25\times 0+10.5\\\\\\y=10.5$

Hence,

At the start of the journey, the cruise ship was 10.5 nautical miles from the lighthouse.

Now the speed of the cruise ship is equal to the slope of the equation.

We have slope=21.25

Hence,

The cruise ship is traveling at a speed of 21.25 nautical miles per hour.

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Sienna planned a rectangular pool, as shown in the scale drawing below.

svlad2 [7]

Answer:

The scale factor is

27.5 feet / 22 feet = 1.25.

Explanation:

Whenever you are calculating factors, you are comparing two measurements. In this problem we compared a longer length to a shorter length pool. The length was changed to (27.5 feet) and youre comparing to the length it was originally (22 feet).

Ok so you know the two measurements being compared, but how come it’s 27.5/22 and not 22/27.5? Because the value got bigger.

In this problem you had a pool with long side of 22 ft. But then you made it longer to 27.5 ft. So it scales up,

It went from 100% its length to 125% its length. So the length is 125% / 100% = 1.25 times longer than it used to be.

Here’s another example:

How do you calculate your grade percentage on a test? You take the amount of points you earned and divide by the total possible points. Your grade percentage is a comparison of your score (Compare value) compared to a perfect score (reference value) .

So lets say your test had 22 total points. You get all the answers correct so you get 22/22 points which is 22/22*100 = 100%. Let’s say you get an extra bonus question correct so you end up with even more points and you get 27.5 points out of 22. By getting the bonus points you scaled up your score! Now your score is 27.5/22 * 100 = 125%. So you went from 100% to a 125%. Or from a scale factor of 1 to 1.25.

Whenever the value is getting bigger than it was, you’re going to have a compared percentage over 100%. If the value gets smaller, then you would get a compared percentage less than 100%. Similarly a factor scale is going to be over 1 if the compared value is getting bigger, and less than 1 if it’s getting smaller.

So you don’t need to use percentages, factors are the same they just look a little different.

27.5/22 = 125% / 100% = 1.25

In summary just do this division:

(compare value)/(reference value). The result is how big the top value is compared to the bottom value.

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2 years ago

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A machine is set to fill the small-size packages of m&m candies with 56 candies per bag. a sample revealed: three bags of 56

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In statistics, the amount of degrees of freedom is the quantity of values in the final computation of a statistic that are free to differ. In this case, you can get the answer by adding the number of bags and subtracting 1.

So in computation, this would look like: 3 + 2 + 1 + 2 - 1 = 7

Therefore, 7 is the degrees of freedom.

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2 years ago

Alejandro would like to start a new business. His friends have suggested he go into merchandising. But he's confused about what

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Answer:

Step-by-step explanation:

This is the complete question

(Alejandro would like to start a new business. his friends have suggested he go into merchandising. but he's confused about what exactly

merchandising is. which sentence provides alejandro with the most accurate description of merchandising?

merchandising is selling your skills, expertise, knowledge, and experience for money

merchandising is selling a product bought at a wholesale price at a higher retail price

merchandising is selling a product that you have created directly to your target customer.

d. merchandising is selling marketing ideas and advertising campaigns to other companies.

e. merchandising is selling a customized service to cater to a customer's needs and wants).

The most accurate description of what merchandising is option B, because it entails the selling of a product, bought at a whole sale price at a higher retail price through different approach such as offering promos or discounts, bargaining and even giving the customer first hand information about the product they are about to buy. Merchandising involves convincing the customer to buy a product in your shop while making profit from it.

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Cassie made a picture graph to record the points that third grade students scored on test.Mrs Wilson's group scored 40 points in

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Answer:

4 students scored 3 points each

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Step-by-step explanation:

<u>Undetermined equations </u>

There are problems where there are not enough data to provide a unique (determined) solution. We form as many equations as possible and try to find the combination of values of the variables to fulfill all the conditions

For this question, we are assuming the grades go from 1 to 5. We know 11 students in Mrs. Wilson's group scored 40 points in all. We must find a combination of points to produce a sum of 40. We're also assuming only integer points can be scored.

To make things easier, let's find the mean value of the total scores: 40/11=3.6

If we stick to the closest integer near 3.6 we can find a quick solution. Let's think all the students scored 4. It would give a total of 44 points (4 more than required). To adjust the excess, we simply set the score of 4 students to 3 points. Our solution will be

4 students scored 3 points each: 12 points

7 students scored 4 points each: 28 points

Total: 40 points

Note: You can find more solutions apart from this one. For example, set the score of one of the 4-points students to 3. To compensate, set another one from that group to 5 points. Our new solution will be

5 students scored 3 points each: 15 points

5 students scored 4 points each: 20 points

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It also has a total of 40 points from 11 students

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Answer:

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Step-by-step explanation:

I added the numbers without variables first then I added the numbers with variables:

8.9+3.4 = 12.3

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